0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.171 * * * [progress]: [2/2] Setting up program. 0.180 * [progress]: [Phase 2 of 3] Improving. 0.180 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.180 * [simplify]: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 0.180 * * [simplify]: iters left: 6 (17 enodes) 0.191 * * [simplify]: iters left: 5 (66 enodes) 0.214 * * [simplify]: iters left: 4 (115 enodes) 0.275 * * [simplify]: iters left: 3 (316 enodes) 0.426 * * [simplify]: Extracting #0: cost 1 inf + 0 0.426 * * [simplify]: Extracting #1: cost 4 inf + 0 0.426 * * [simplify]: Extracting #2: cost 5 inf + 1 0.426 * * [simplify]: Extracting #3: cost 21 inf + 1 0.426 * * [simplify]: Extracting #4: cost 141 inf + 1 0.428 * * [simplify]: Extracting #5: cost 198 inf + 87 0.433 * * [simplify]: Extracting #6: cost 200 inf + 1646 0.438 * * [simplify]: Extracting #7: cost 138 inf + 13192 0.458 * * [simplify]: Extracting #8: cost 16 inf + 50477 0.484 * * [simplify]: Extracting #9: cost 0 inf + 55914 0.510 * [simplify]: Simplified to (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R) 0.510 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R)) 0.519 * * [progress]: iteration 1 / 4 0.519 * * * [progress]: picking best candidate 0.527 * * * * [pick]: Picked # 0.527 * * * [progress]: localizing error 0.589 * * * [progress]: generating rewritten candidates 0.589 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.700 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2) 0.715 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 0.730 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.844 * * * [progress]: generating series expansions 0.844 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.845 * [backup-simplify]: Simplify (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) 0.845 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 0.845 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 0.845 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 0.845 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 0.845 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 0.846 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 0.846 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 0.846 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 0.846 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.846 * [backup-simplify]: Simplify 1/2 into 1/2 0.846 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 0.846 * [taylor]: Taking taylor expansion of phi1 in phi2 0.846 * [backup-simplify]: Simplify phi1 into phi1 0.846 * [taylor]: Taking taylor expansion of phi2 in phi2 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (+ phi1 0) into phi1 0.846 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 0.846 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 0.846 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 0.846 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 0.846 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 0.847 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 0.847 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 0.847 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.847 * [backup-simplify]: Simplify lambda1 into lambda1 0.847 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 0.847 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 0.847 * [taylor]: Taking taylor expansion of phi2 in phi2 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 0.847 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 0.847 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 0.847 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.847 * [backup-simplify]: Simplify lambda2 into lambda2 0.847 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 0.847 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 0.847 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 0.847 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.847 * [backup-simplify]: Simplify 1/2 into 1/2 0.847 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 0.847 * [taylor]: Taking taylor expansion of phi1 in phi2 0.847 * [backup-simplify]: Simplify phi1 into phi1 0.847 * [taylor]: Taking taylor expansion of phi2 in phi2 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (+ phi1 0) into phi1 0.847 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 0.847 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 0.847 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 0.847 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 0.847 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 0.848 * [backup-simplify]: Simplify (- 0) into 0 0.848 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 0.848 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 0.848 * [taylor]: Taking taylor expansion of phi1 in phi2 0.848 * [backup-simplify]: Simplify phi1 into phi1 0.848 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 0.848 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 0.848 * [taylor]: Taking taylor expansion of 2 in phi2 0.848 * [backup-simplify]: Simplify 2 into 2 0.848 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 0.848 * [taylor]: Taking taylor expansion of phi1 in phi2 0.848 * [backup-simplify]: Simplify phi1 into phi1 0.848 * [taylor]: Taking taylor expansion of phi2 in phi2 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 0.848 * [taylor]: Taking taylor expansion of 2 in phi2 0.848 * [backup-simplify]: Simplify 2 into 2 0.848 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 0.848 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 0.848 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 0.848 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 0.848 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.848 * [backup-simplify]: Simplify 1/2 into 1/2 0.848 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 0.848 * [taylor]: Taking taylor expansion of phi1 in phi2 0.848 * [backup-simplify]: Simplify phi1 into phi1 0.848 * [taylor]: Taking taylor expansion of phi2 in phi2 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (+ phi1 0) into phi1 0.848 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 0.848 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 0.848 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 0.848 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 0.848 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 0.849 * [backup-simplify]: Simplify (- 0) into 0 0.849 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 0.849 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 0.849 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.849 * [backup-simplify]: Simplify lambda2 into lambda2 0.849 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.849 * [backup-simplify]: Simplify lambda1 into lambda1 0.849 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 0.849 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 0.849 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 0.849 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 0.849 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 0.849 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 0.849 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.849 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 0.850 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 0.850 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 0.850 * [backup-simplify]: Simplify (* phi1 0) into 0 0.850 * [backup-simplify]: Simplify (* 2 0) into 0 0.851 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 0.851 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 0.851 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 0.851 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 0.851 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 0.851 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 0.852 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 0.852 * [backup-simplify]: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 0.852 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 0.853 * [backup-simplify]: Simplify (+ 0) into 0 0.853 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify (+ 0 1) into 1 0.854 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 0.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.855 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 0.855 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.855 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.855 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 0.855 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) 0.856 * [backup-simplify]: Simplify (+ 0) into 0 0.856 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 0.856 * [backup-simplify]: Simplify (+ 0 1) into 1 0.856 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 0.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.857 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 0.857 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.857 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.858 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 0.858 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 0.858 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0.858 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.858 * [backup-simplify]: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0.858 * [backup-simplify]: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0.858 * [backup-simplify]: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) 0.859 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 0.859 * [backup-simplify]: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1) 0.859 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 0.859 * [backup-simplify]: Simplify (+ 0) into 0 0.860 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 0.860 * [backup-simplify]: Simplify (+ 0 1) into 1 0.860 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 0.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.861 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 0.861 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.861 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 0.861 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 0.862 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) 0.862 * [backup-simplify]: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 0.862 * [backup-simplify]: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 0.862 * [backup-simplify]: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1)) 0.863 * [backup-simplify]: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 0.864 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))))) 0.864 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 0.864 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 0.864 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 0.864 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 0.864 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 0.864 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 0.864 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 0.864 * [taylor]: Taking taylor expansion of 1/2 in phi1 0.864 * [backup-simplify]: Simplify 1/2 into 1/2 0.864 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 0.864 * [taylor]: Taking taylor expansion of phi1 in phi1 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [taylor]: Taking taylor expansion of phi2 in phi1 0.864 * [backup-simplify]: Simplify phi2 into phi2 0.864 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 0.864 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 0.865 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 0.865 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 0.865 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 0.865 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 0.865 * [backup-simplify]: Simplify (- 0) into 0 0.865 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 0.865 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 0.865 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.865 * [backup-simplify]: Simplify lambda1 into lambda1 0.865 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 0.865 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 0.865 * [taylor]: Taking taylor expansion of phi2 in phi1 0.865 * [backup-simplify]: Simplify phi2 into phi2 0.865 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 0.865 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 0.865 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 0.865 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.865 * [backup-simplify]: Simplify lambda2 into lambda2 0.865 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 0.865 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 0.865 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 0.865 * [taylor]: Taking taylor expansion of 1/2 in phi1 0.865 * [backup-simplify]: Simplify 1/2 into 1/2 0.865 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 0.865 * [taylor]: Taking taylor expansion of phi1 in phi1 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [taylor]: Taking taylor expansion of phi2 in phi1 0.865 * [backup-simplify]: Simplify phi2 into phi2 0.865 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 0.865 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 0.866 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 0.866 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 0.866 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 0.866 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 0.866 * [backup-simplify]: Simplify (- 0) into 0 0.866 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 0.866 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 0.866 * [taylor]: Taking taylor expansion of phi1 in phi1 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 0.866 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 0.866 * [taylor]: Taking taylor expansion of 2 in phi1 0.866 * [backup-simplify]: Simplify 2 into 2 0.866 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 0.866 * [taylor]: Taking taylor expansion of phi1 in phi1 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [taylor]: Taking taylor expansion of phi2 in phi1 0.866 * [backup-simplify]: Simplify phi2 into phi2 0.866 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 0.866 * [taylor]: Taking taylor expansion of 2 in phi1 0.866 * [backup-simplify]: Simplify 2 into 2 0.866 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 0.866 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 0.866 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 0.866 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 0.866 * [taylor]: Taking taylor expansion of 1/2 in phi1 0.866 * [backup-simplify]: Simplify 1/2 into 1/2 0.866 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 0.866 * [taylor]: Taking taylor expansion of phi1 in phi1 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [taylor]: Taking taylor expansion of phi2 in phi1 0.866 * [backup-simplify]: Simplify phi2 into phi2 0.866 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 0.866 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 0.867 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 0.867 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 0.867 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 0.867 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 0.867 * [backup-simplify]: Simplify (- 0) into 0 0.867 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 0.867 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 0.867 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.867 * [backup-simplify]: Simplify lambda2 into lambda2 0.867 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.867 * [backup-simplify]: Simplify lambda1 into lambda1 0.867 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 0.867 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 0.867 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 0.867 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.867 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 0.867 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 0.867 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0.868 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0.868 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 0.868 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 0.868 * [backup-simplify]: Simplify (* 0 phi2) into 0 0.868 * [backup-simplify]: Simplify (* 2 0) into 0 0.868 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 0.868 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 0.869 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 0.869 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 0.869 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 0.869 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 0.869 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 0.870 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 0.870 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 0.870 * [backup-simplify]: Simplify (+ 0) into 0 0.871 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 0.871 * [backup-simplify]: Simplify (+ 1 0) into 1 0.871 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 0.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.872 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 0.872 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.872 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.872 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 0.873 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) 0.873 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.873 * [backup-simplify]: Simplify (+ 0) into 0 0.874 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 0.874 * [backup-simplify]: Simplify (+ 1 0) into 1 0.874 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 0.875 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.875 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 0.875 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.875 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.875 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 0.875 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 0.876 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0.876 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0.877 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0.879 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) 0.880 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 0.880 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 0.880 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 0.880 * [backup-simplify]: Simplify (+ 0) into 0 0.881 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 0.882 * [backup-simplify]: Simplify (+ 1 0) into 1 0.882 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 0.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 0.883 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 0.883 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.884 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 0.884 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 0.885 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) 0.886 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 0.886 * [backup-simplify]: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 0.887 * [backup-simplify]: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2)) 0.889 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) 0.893 * [backup-simplify]: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) 0.893 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 0.893 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 0.893 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 0.893 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 0.893 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.893 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.893 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.893 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.893 * [backup-simplify]: Simplify 1/2 into 1/2 0.893 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.893 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.893 * [backup-simplify]: Simplify phi1 into phi1 0.893 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.893 * [backup-simplify]: Simplify phi2 into phi2 0.894 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.894 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.894 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.894 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.894 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.894 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.895 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.895 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 0.895 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.895 * [backup-simplify]: Simplify lambda1 into lambda1 0.895 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 0.895 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 0.895 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.895 * [backup-simplify]: Simplify phi2 into phi2 0.895 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 0.895 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.895 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.895 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.895 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.895 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.895 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.895 * [backup-simplify]: Simplify 1/2 into 1/2 0.895 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.895 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.895 * [backup-simplify]: Simplify phi1 into phi1 0.895 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.895 * [backup-simplify]: Simplify phi2 into phi2 0.895 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.895 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.896 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.896 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.896 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.896 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.901 * [backup-simplify]: Simplify (- 0) into 0 0.901 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.901 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 0.901 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.901 * [backup-simplify]: Simplify phi1 into phi1 0.901 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 0.901 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 0.901 * [taylor]: Taking taylor expansion of 2 in lambda2 0.901 * [backup-simplify]: Simplify 2 into 2 0.901 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 0.901 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.901 * [backup-simplify]: Simplify phi1 into phi1 0.901 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.901 * [backup-simplify]: Simplify phi2 into phi2 0.901 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 0.901 * [taylor]: Taking taylor expansion of 2 in lambda2 0.901 * [backup-simplify]: Simplify 2 into 2 0.901 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 0.901 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.901 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.901 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.901 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.901 * [backup-simplify]: Simplify 1/2 into 1/2 0.901 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.902 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.902 * [backup-simplify]: Simplify phi1 into phi1 0.902 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.902 * [backup-simplify]: Simplify phi2 into phi2 0.902 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.902 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.902 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.902 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.902 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.902 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.903 * [backup-simplify]: Simplify (- 0) into 0 0.903 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.903 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 0.903 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.903 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.903 * [backup-simplify]: Simplify lambda1 into lambda1 0.903 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.903 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 0.903 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 0.904 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.904 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.904 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 0.904 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 0.904 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 0.904 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.904 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.905 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.905 * [backup-simplify]: Simplify (* 0 lambda1) into 0 0.905 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 0.905 * [backup-simplify]: Simplify (* 2 0) into 0 0.905 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 0.906 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.906 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 0.907 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 0.907 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 0.907 * [backup-simplify]: Simplify (+ 0) into 0 0.908 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.909 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.909 * [backup-simplify]: Simplify (- 0) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.910 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.910 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0 0.910 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.910 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 0.911 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 0.912 * [backup-simplify]: Simplify (+ 0) into 0 0.912 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.912 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.914 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.914 * [backup-simplify]: Simplify (- 0) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.915 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 0.915 * [backup-simplify]: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 0.915 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 0.916 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 0.916 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 0.916 * [backup-simplify]: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))))) 0.916 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 0.916 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 0.916 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 0.916 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 0.916 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.916 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.916 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.916 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.916 * [backup-simplify]: Simplify 1/2 into 1/2 0.917 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.917 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.917 * [backup-simplify]: Simplify phi1 into phi1 0.917 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.917 * [backup-simplify]: Simplify phi2 into phi2 0.917 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.917 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.917 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.917 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.917 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.917 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.917 * [backup-simplify]: Simplify (- 0) into 0 0.917 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.917 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 0.917 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 0.917 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 0.917 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.917 * [backup-simplify]: Simplify phi2 into phi2 0.917 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 0.917 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 0.917 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 0.917 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.917 * [backup-simplify]: Simplify lambda2 into lambda2 0.917 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.917 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.917 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.918 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.918 * [backup-simplify]: Simplify 1/2 into 1/2 0.918 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.918 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.918 * [backup-simplify]: Simplify phi1 into phi1 0.918 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.918 * [backup-simplify]: Simplify phi2 into phi2 0.918 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.918 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.918 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.918 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.918 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.918 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.918 * [backup-simplify]: Simplify (- 0) into 0 0.918 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.918 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 0.918 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.918 * [backup-simplify]: Simplify phi1 into phi1 0.918 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 0.918 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 0.918 * [taylor]: Taking taylor expansion of 2 in lambda1 0.918 * [backup-simplify]: Simplify 2 into 2 0.918 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 0.918 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.918 * [backup-simplify]: Simplify phi1 into phi1 0.918 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.918 * [backup-simplify]: Simplify phi2 into phi2 0.918 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 0.918 * [taylor]: Taking taylor expansion of 2 in lambda1 0.918 * [backup-simplify]: Simplify 2 into 2 0.918 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 0.918 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.918 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.919 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.919 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.919 * [backup-simplify]: Simplify 1/2 into 1/2 0.919 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.919 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.919 * [backup-simplify]: Simplify phi1 into phi1 0.919 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.919 * [backup-simplify]: Simplify phi2 into phi2 0.919 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.919 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.919 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.919 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.919 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.919 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.919 * [backup-simplify]: Simplify (- 0) into 0 0.919 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.919 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 0.919 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.919 * [backup-simplify]: Simplify lambda2 into lambda2 0.919 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.919 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 0.919 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.920 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 0.920 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.920 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 0.920 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 0.920 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 0.920 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.920 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.921 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.921 * [backup-simplify]: Simplify (* lambda2 0) into 0 0.921 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 0.921 * [backup-simplify]: Simplify (* 2 0) into 0 0.921 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 0.921 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.921 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 0.922 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 0.922 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.922 * [backup-simplify]: Simplify (+ 0) into 0 0.922 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.924 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.924 * [backup-simplify]: Simplify (- 0) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.925 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 0.925 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 0.925 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 0.926 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 0.926 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 0.927 * [backup-simplify]: Simplify (+ 0) into 0 0.927 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.928 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.928 * [backup-simplify]: Simplify (- 0) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.929 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 0.930 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 0.930 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 0.930 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 0.930 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 0.931 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 0.931 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 0.931 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 0.931 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 0.931 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 0.931 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.931 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.931 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.931 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.931 * [backup-simplify]: Simplify 1/2 into 1/2 0.931 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.931 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.931 * [backup-simplify]: Simplify phi1 into phi1 0.931 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.931 * [backup-simplify]: Simplify phi2 into phi2 0.931 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.931 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.931 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.931 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.931 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.931 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.931 * [backup-simplify]: Simplify (- 0) into 0 0.931 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.931 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 0.932 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 0.932 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 0.932 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.932 * [backup-simplify]: Simplify phi2 into phi2 0.932 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 0.932 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 0.932 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 0.932 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.932 * [backup-simplify]: Simplify lambda2 into lambda2 0.932 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.932 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.932 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.932 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.932 * [backup-simplify]: Simplify 1/2 into 1/2 0.932 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.932 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.932 * [backup-simplify]: Simplify phi1 into phi1 0.932 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.932 * [backup-simplify]: Simplify phi2 into phi2 0.932 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.932 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.932 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.932 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.932 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.932 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.932 * [backup-simplify]: Simplify (- 0) into 0 0.932 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.932 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 0.933 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.933 * [backup-simplify]: Simplify phi1 into phi1 0.933 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 0.933 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 0.933 * [taylor]: Taking taylor expansion of 2 in lambda1 0.933 * [backup-simplify]: Simplify 2 into 2 0.933 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 0.933 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.933 * [backup-simplify]: Simplify phi1 into phi1 0.933 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.933 * [backup-simplify]: Simplify phi2 into phi2 0.933 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 0.933 * [taylor]: Taking taylor expansion of 2 in lambda1 0.933 * [backup-simplify]: Simplify 2 into 2 0.933 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 0.933 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 0.933 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 0.933 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 0.933 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.933 * [backup-simplify]: Simplify 1/2 into 1/2 0.933 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 0.933 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.933 * [backup-simplify]: Simplify phi1 into phi1 0.933 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.933 * [backup-simplify]: Simplify phi2 into phi2 0.933 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.933 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.933 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.933 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.933 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.933 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.933 * [backup-simplify]: Simplify (- 0) into 0 0.933 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.934 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 0.934 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.934 * [backup-simplify]: Simplify lambda2 into lambda2 0.934 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.934 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 0.934 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.934 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 0.934 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.934 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 0.934 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 0.935 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 0.935 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.935 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.935 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.935 * [backup-simplify]: Simplify (* lambda2 0) into 0 0.935 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 0.935 * [backup-simplify]: Simplify (* 2 0) into 0 0.935 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 0.935 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.936 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 0.936 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 0.936 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.937 * [backup-simplify]: Simplify (+ 0) into 0 0.937 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.939 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.940 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.940 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 0.941 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 0.941 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 0.942 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 0.943 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 0.943 * [backup-simplify]: Simplify (+ 0) into 0 0.944 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.946 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 0.946 * [backup-simplify]: Simplify (- 0) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 0.947 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 0.948 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 0.948 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 0.948 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 0.949 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 0.950 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 0.950 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 0.950 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 0.950 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 0.950 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 0.950 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.950 * [backup-simplify]: Simplify phi2 into phi2 0.950 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 0.950 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.950 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.950 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.950 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.950 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.950 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.950 * [backup-simplify]: Simplify 1/2 into 1/2 0.950 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.950 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.950 * [backup-simplify]: Simplify phi1 into phi1 0.950 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.950 * [backup-simplify]: Simplify phi2 into phi2 0.950 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.950 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.951 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.951 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.951 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.951 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.951 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.952 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 0.952 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.952 * [backup-simplify]: Simplify phi1 into phi1 0.952 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 0.952 * [taylor]: Taking taylor expansion of 2 in lambda2 0.952 * [backup-simplify]: Simplify 2 into 2 0.952 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 0.952 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.952 * [backup-simplify]: Simplify phi1 into phi1 0.952 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.952 * [backup-simplify]: Simplify phi2 into phi2 0.952 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.952 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.952 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 0.952 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 0.952 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.952 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.952 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.953 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 0.953 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 0.953 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.953 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 0.955 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 0.955 * [backup-simplify]: Simplify (- 0) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 0.956 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 0.956 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 0.956 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 0.956 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 0.956 * [taylor]: Taking taylor expansion of phi2 in phi1 0.956 * [backup-simplify]: Simplify phi2 into phi2 0.956 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 0.956 * [taylor]: Taking taylor expansion of phi1 in phi1 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 0.956 * [taylor]: Taking taylor expansion of 2 in phi1 0.956 * [backup-simplify]: Simplify 2 into 2 0.956 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 0.956 * [taylor]: Taking taylor expansion of phi1 in phi1 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [taylor]: Taking taylor expansion of phi2 in phi1 0.956 * [backup-simplify]: Simplify phi2 into phi2 0.957 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.957 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 0.957 * [backup-simplify]: Simplify (* 0 phi2) into 0 0.957 * [backup-simplify]: Simplify (* 2 0) into 0 0.958 * [backup-simplify]: Simplify (- 0) into 0 0.958 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 0.958 * [backup-simplify]: Simplify (sqrt (pow phi2 2)) into phi2 0.958 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.958 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 0.959 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 0.959 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 0.959 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 0.959 * [backup-simplify]: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 0.959 * [taylor]: Taking taylor expansion of phi2 in phi2 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [taylor]: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 0.960 * [taylor]: Taking taylor expansion of -1 in lambda2 0.960 * [backup-simplify]: Simplify -1 into -1 0.960 * [taylor]: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 0.960 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.960 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.960 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.960 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.960 * [backup-simplify]: Simplify 1/2 into 1/2 0.960 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.960 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.960 * [backup-simplify]: Simplify phi1 into phi1 0.960 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.960 * [backup-simplify]: Simplify phi2 into phi2 0.960 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.960 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.960 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.960 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.960 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.961 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.961 * [backup-simplify]: Simplify (- 0) into 0 0.961 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 0.961 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 0.961 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 0.961 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 0.961 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 0.961 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.961 * [backup-simplify]: Simplify phi2 into phi2 0.961 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 0.961 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.961 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.961 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.961 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.962 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.962 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.962 * [backup-simplify]: Simplify 1/2 into 1/2 0.962 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.962 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.962 * [backup-simplify]: Simplify phi1 into phi1 0.962 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.962 * [backup-simplify]: Simplify phi2 into phi2 0.962 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.962 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.962 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.962 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.962 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.962 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.963 * [backup-simplify]: Simplify (- 0) into 0 0.963 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.963 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 0.963 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.963 * [backup-simplify]: Simplify phi1 into phi1 0.963 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 0.963 * [taylor]: Taking taylor expansion of 2 in lambda2 0.963 * [backup-simplify]: Simplify 2 into 2 0.963 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 0.963 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.963 * [backup-simplify]: Simplify phi1 into phi1 0.963 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.963 * [backup-simplify]: Simplify phi2 into phi2 0.963 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.963 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.963 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 0.963 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 0.963 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.963 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.964 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.964 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 0.964 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 0.964 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 0.965 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 0.965 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 0.965 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 0.966 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 0.967 * [backup-simplify]: Simplify (- 0) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 0.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 0.968 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.968 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 0.968 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 0.969 * [backup-simplify]: Simplify (* -1 0) into 0 0.969 * [taylor]: Taking taylor expansion of 0 in phi1 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of 0 in phi2 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of 0 in phi1 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of 0 in phi2 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of -1 in phi2 0.969 * [backup-simplify]: Simplify -1 into -1 0.970 * [backup-simplify]: Simplify -1 into -1 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.971 * [backup-simplify]: Simplify (* 1 1) into 1 0.971 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.971 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 0.972 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 0.975 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.976 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 0.976 * [backup-simplify]: Simplify (- 0) into 0 0.976 * [backup-simplify]: Simplify (+ 0 0) into 0 0.977 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 0.977 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 0.978 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 0.978 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.980 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 0.981 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 0.981 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 0.982 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.983 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 0.983 * [backup-simplify]: Simplify (+ 0 0) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 0.985 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.986 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 0.986 * [backup-simplify]: Simplify (- 0) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 0.987 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 0.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.989 * [backup-simplify]: Simplify (- 0) into 0 0.989 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.992 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 0.992 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 0.992 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.992 * [backup-simplify]: Simplify 1/2 into 1/2 0.992 * [taylor]: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 0.992 * [taylor]: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 0.992 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.992 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.992 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.992 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.992 * [backup-simplify]: Simplify 1/2 into 1/2 0.992 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.992 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.992 * [backup-simplify]: Simplify phi1 into phi1 0.992 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.992 * [backup-simplify]: Simplify phi2 into phi2 0.992 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.992 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.992 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.992 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.993 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.993 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.993 * [backup-simplify]: Simplify (- 0) into 0 0.993 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.993 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 0.993 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 0.993 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.993 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 1 into 1 0.993 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 0.993 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.993 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.993 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.993 * [backup-simplify]: Simplify 1/2 into 1/2 0.994 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.994 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.994 * [backup-simplify]: Simplify phi1 into phi1 0.994 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.994 * [backup-simplify]: Simplify phi2 into phi2 0.994 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.994 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.994 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.994 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.994 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.994 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.994 * [backup-simplify]: Simplify (- 0) into 0 0.995 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.995 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 0.995 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 0.995 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 0.995 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.995 * [backup-simplify]: Simplify phi2 into phi2 0.995 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 0.995 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.995 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.995 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.995 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.995 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.995 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.995 * [backup-simplify]: Simplify 1/2 into 1/2 0.995 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.995 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.995 * [backup-simplify]: Simplify phi1 into phi1 0.995 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.995 * [backup-simplify]: Simplify phi2 into phi2 0.995 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.995 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.995 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.995 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.996 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 0.996 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 0.996 * [backup-simplify]: Simplify (- 0) into 0 0.996 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 0.996 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 0.996 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.996 * [backup-simplify]: Simplify phi1 into phi1 0.996 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 0.996 * [taylor]: Taking taylor expansion of 2 in lambda2 0.996 * [backup-simplify]: Simplify 2 into 2 0.996 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 0.996 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.996 * [backup-simplify]: Simplify phi1 into phi1 0.996 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.996 * [backup-simplify]: Simplify phi2 into phi2 0.997 * [backup-simplify]: Simplify (* 1 1) into 1 0.997 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0.997 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 0.997 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 0.997 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 0.997 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 0.998 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 0.998 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 0.998 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 0.998 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 0.998 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 0.998 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 0.998 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 0.999 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 0.999 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 0.999 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 0.999 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 0.999 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 0.999 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.999 * [backup-simplify]: Simplify phi2 into phi2 0.999 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 0.999 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 0.999 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 0.999 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 0.999 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 0.999 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 0.999 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.999 * [backup-simplify]: Simplify 1/2 into 1/2 0.999 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 0.999 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.999 * [backup-simplify]: Simplify phi1 into phi1 0.999 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.999 * [backup-simplify]: Simplify phi2 into phi2 0.999 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 0.999 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 0.999 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 0.999 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 0.999 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.000 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.000 * [backup-simplify]: Simplify (- 0) into 0 1.000 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.000 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.000 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.000 * [backup-simplify]: Simplify phi1 into phi1 1.000 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1.000 * [taylor]: Taking taylor expansion of 2 in lambda2 1.000 * [backup-simplify]: Simplify 2 into 2 1.000 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.000 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.000 * [backup-simplify]: Simplify phi1 into phi1 1.000 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.000 * [backup-simplify]: Simplify phi2 into phi2 1.001 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.001 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.001 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1.001 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1.001 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.001 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1.001 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1.001 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1.001 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1.002 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 1.002 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.002 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.002 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.003 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1.004 * [backup-simplify]: Simplify (- 0) into 0 1.004 * [backup-simplify]: Simplify (+ 0 0) into 0 1.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1.005 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.006 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.006 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 1.006 * [backup-simplify]: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1.006 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1.006 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.007 * [backup-simplify]: Simplify 1/2 into 1/2 1.007 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1.007 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.007 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.007 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.007 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.007 * [backup-simplify]: Simplify 1/2 into 1/2 1.007 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.007 * [taylor]: Taking taylor expansion of phi1 in phi1 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [taylor]: Taking taylor expansion of phi2 in phi1 1.007 * [backup-simplify]: Simplify phi2 into phi2 1.007 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.007 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.007 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.007 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.007 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.007 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.008 * [backup-simplify]: Simplify (- 0) into 0 1.008 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.008 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1.008 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1.008 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1.008 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1.008 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.008 * [taylor]: Taking taylor expansion of phi2 in phi1 1.008 * [backup-simplify]: Simplify phi2 into phi2 1.008 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.008 * [taylor]: Taking taylor expansion of phi1 in phi1 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 1 into 1 1.008 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1.008 * [taylor]: Taking taylor expansion of 2 in phi1 1.008 * [backup-simplify]: Simplify 2 into 2 1.008 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.008 * [taylor]: Taking taylor expansion of phi1 in phi1 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 1 into 1 1.008 * [taylor]: Taking taylor expansion of phi2 in phi1 1.008 * [backup-simplify]: Simplify phi2 into phi2 1.008 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.008 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.008 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.009 * [backup-simplify]: Simplify (* 2 0) into 0 1.009 * [backup-simplify]: Simplify (- 0) into 0 1.009 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.009 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.009 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1.009 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.010 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.010 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1.010 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1.010 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1.010 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1.010 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.010 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1.011 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1.011 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.011 * [backup-simplify]: Simplify 1/2 into 1/2 1.011 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1.011 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.011 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.011 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.011 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.011 * [backup-simplify]: Simplify 1/2 into 1/2 1.011 * [taylor]: Taking taylor expansion of phi2 in phi2 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.011 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.011 * [taylor]: Taking taylor expansion of phi2 in phi2 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (* 1 1) into 1 1.012 * [backup-simplify]: Simplify (/ 1 1) into 1 1.012 * [backup-simplify]: Simplify (+ 0) into 0 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify (+ 0) into 0 1.014 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.014 * [backup-simplify]: Simplify (+ 0 0) into 0 1.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.016 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.016 * [backup-simplify]: Simplify (- 0) into 0 1.016 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.017 * [backup-simplify]: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 1.018 * [backup-simplify]: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1.018 * [taylor]: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1.018 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1.018 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.018 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.018 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.018 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.018 * [backup-simplify]: Simplify 1/2 into 1/2 1.018 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.018 * [taylor]: Taking taylor expansion of phi1 in phi1 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [taylor]: Taking taylor expansion of phi2 in phi1 1.018 * [backup-simplify]: Simplify phi2 into phi2 1.018 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.018 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.018 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.018 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.018 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.018 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.019 * [backup-simplify]: Simplify (- 0) into 0 1.019 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.019 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1.019 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1.019 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1.019 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1.019 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.019 * [taylor]: Taking taylor expansion of phi2 in phi1 1.019 * [backup-simplify]: Simplify phi2 into phi2 1.019 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.019 * [taylor]: Taking taylor expansion of phi1 in phi1 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1.019 * [taylor]: Taking taylor expansion of 2 in phi1 1.019 * [backup-simplify]: Simplify 2 into 2 1.019 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.019 * [taylor]: Taking taylor expansion of phi1 in phi1 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [taylor]: Taking taylor expansion of phi2 in phi1 1.019 * [backup-simplify]: Simplify phi2 into phi2 1.019 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.019 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.019 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.020 * [backup-simplify]: Simplify (* 2 0) into 0 1.020 * [backup-simplify]: Simplify (- 0) into 0 1.020 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.020 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.020 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1.020 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.021 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1.021 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1.021 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1.021 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1.021 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.021 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1.021 * [backup-simplify]: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1.021 * [taylor]: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1.022 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1.022 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.022 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.022 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.022 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.022 * [backup-simplify]: Simplify 1/2 into 1/2 1.022 * [taylor]: Taking taylor expansion of phi2 in phi2 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.022 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.022 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.022 * [taylor]: Taking taylor expansion of phi2 in phi2 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (* 1 1) into 1 1.023 * [backup-simplify]: Simplify (/ 1 1) into 1 1.023 * [backup-simplify]: Simplify (+ 0) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1.027 * [backup-simplify]: Simplify (* 1 1) into 1 1.027 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.027 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.028 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 1.028 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.028 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.028 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 1.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 1.029 * [backup-simplify]: Simplify (- 0) into 0 1.029 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.030 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1.030 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1.030 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.030 * [backup-simplify]: Simplify 1/2 into 1/2 1.030 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1.030 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.030 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.030 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.030 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.030 * [backup-simplify]: Simplify 1/2 into 1/2 1.030 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.030 * [taylor]: Taking taylor expansion of phi1 in phi1 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [taylor]: Taking taylor expansion of phi2 in phi1 1.030 * [backup-simplify]: Simplify phi2 into phi2 1.030 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.030 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.030 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.030 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.030 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.030 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.031 * [backup-simplify]: Simplify (- 0) into 0 1.031 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.031 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1.031 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1.031 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1.031 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1.031 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.031 * [taylor]: Taking taylor expansion of phi2 in phi1 1.031 * [backup-simplify]: Simplify phi2 into phi2 1.031 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.031 * [taylor]: Taking taylor expansion of phi1 in phi1 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1.031 * [taylor]: Taking taylor expansion of 2 in phi1 1.031 * [backup-simplify]: Simplify 2 into 2 1.031 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.031 * [taylor]: Taking taylor expansion of phi1 in phi1 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [taylor]: Taking taylor expansion of phi2 in phi1 1.031 * [backup-simplify]: Simplify phi2 into phi2 1.031 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.031 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.031 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.031 * [backup-simplify]: Simplify (* 2 0) into 0 1.032 * [backup-simplify]: Simplify (- 0) into 0 1.032 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1.032 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.032 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1.032 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.033 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1.033 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1.033 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1.033 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1.033 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.033 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1.033 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1.033 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.033 * [backup-simplify]: Simplify 1/2 into 1/2 1.033 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1.033 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.033 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.033 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.033 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.033 * [backup-simplify]: Simplify 1/2 into 1/2 1.033 * [taylor]: Taking taylor expansion of phi2 in phi2 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.034 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.034 * [taylor]: Taking taylor expansion of phi2 in phi2 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (* 1 1) into 1 1.035 * [backup-simplify]: Simplify (/ 1 1) into 1 1.035 * [backup-simplify]: Simplify (+ 0) into 0 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [taylor]: Taking taylor expansion of 0 in phi2 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [taylor]: Taking taylor expansion of 0 in phi2 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1.037 * [backup-simplify]: Simplify (* 1 1) into 1 1.037 * [backup-simplify]: Simplify (+ 0 1) into 1 1.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 1.038 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 1.039 * [backup-simplify]: Simplify (- 0) into 0 1.039 * [backup-simplify]: Simplify (+ 1 0) into 1 1.039 * [backup-simplify]: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 1.039 * [taylor]: Taking taylor expansion of 0 in phi2 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) 1.041 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) 1.041 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 1.041 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 1.041 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 1.041 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 1.041 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 1.041 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.041 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.041 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.041 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.041 * [backup-simplify]: Simplify 1/2 into 1/2 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.041 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.042 * [taylor]: Taking taylor expansion of phi1 in phi2 1.042 * [backup-simplify]: Simplify phi1 into phi1 1.042 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.042 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.042 * [taylor]: Taking taylor expansion of phi2 in phi2 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (/ 1 1) into 1 1.043 * [backup-simplify]: Simplify (+ 0 1) into 1 1.043 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.044 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.044 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 1.044 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.044 * [backup-simplify]: Simplify lambda2 into lambda2 1.044 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.044 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.044 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 1.044 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 1.044 * [taylor]: Taking taylor expansion of phi1 in phi2 1.044 * [backup-simplify]: Simplify phi1 into phi1 1.045 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.045 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.045 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 1.045 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 1.045 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.045 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.045 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.045 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.045 * [backup-simplify]: Simplify 1/2 into 1/2 1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.045 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.045 * [taylor]: Taking taylor expansion of phi1 in phi2 1.045 * [backup-simplify]: Simplify phi1 into phi1 1.045 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.045 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.045 * [taylor]: Taking taylor expansion of phi2 in phi2 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.046 * [backup-simplify]: Simplify (/ 1 1) into 1 1.046 * [backup-simplify]: Simplify (+ 0 1) into 1 1.047 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.047 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.047 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 1.047 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.047 * [backup-simplify]: Simplify lambda1 into lambda1 1.047 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.047 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.047 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 1.047 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 1.047 * [taylor]: Taking taylor expansion of phi2 in phi2 1.047 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify (* 1 1) into 1 1.048 * [backup-simplify]: Simplify (/ 1 1) into 1 1.048 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 1.048 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 1.048 * [taylor]: Taking taylor expansion of 2 in phi2 1.049 * [backup-simplify]: Simplify 2 into 2 1.049 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 1.049 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 1.049 * [taylor]: Taking taylor expansion of phi1 in phi2 1.049 * [backup-simplify]: Simplify phi1 into phi1 1.049 * [taylor]: Taking taylor expansion of phi2 in phi2 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify (* phi1 0) into 0 1.049 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1.049 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.049 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 1.049 * [taylor]: Taking taylor expansion of 2 in phi2 1.049 * [backup-simplify]: Simplify 2 into 2 1.049 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 1.049 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.049 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.049 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.049 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.049 * [backup-simplify]: Simplify 1/2 into 1/2 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.050 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.050 * [taylor]: Taking taylor expansion of phi1 in phi2 1.050 * [backup-simplify]: Simplify phi1 into phi1 1.050 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.050 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.050 * [taylor]: Taking taylor expansion of phi2 in phi2 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 1 into 1 1.050 * [backup-simplify]: Simplify (/ 1 1) into 1 1.051 * [backup-simplify]: Simplify (+ 0 1) into 1 1.051 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.051 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.051 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 1.051 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.051 * [backup-simplify]: Simplify lambda2 into lambda2 1.051 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.051 * [backup-simplify]: Simplify lambda1 into lambda1 1.052 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.052 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1.052 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 1.052 * [backup-simplify]: Simplify (+ 0 1) into 1 1.053 * [backup-simplify]: Simplify (+ 0 1) into 1 1.053 * [backup-simplify]: Simplify (+ 0 1) into 1 1.054 * [backup-simplify]: Simplify (+ 1 0) into 1 1.054 * [backup-simplify]: Simplify (sqrt 1) into 1 1.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.056 * [backup-simplify]: Simplify (+ 0 0) into 0 1.056 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 1.057 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 1.057 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 1.057 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 1.058 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 1.058 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 1.058 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 1.058 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 1.058 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 1.058 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.058 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.058 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.058 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.058 * [backup-simplify]: Simplify 1/2 into 1/2 1.058 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.058 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.058 * [taylor]: Taking taylor expansion of phi1 in phi1 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (/ 1 1) into 1 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.059 * [taylor]: Taking taylor expansion of phi2 in phi1 1.059 * [backup-simplify]: Simplify phi2 into phi2 1.059 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.059 * [backup-simplify]: Simplify (+ 1 0) into 1 1.060 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.060 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.060 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 1.060 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.060 * [backup-simplify]: Simplify lambda2 into lambda2 1.060 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.060 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.061 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.061 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.061 * [taylor]: Taking taylor expansion of phi1 in phi1 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify (* 1 1) into 1 1.061 * [backup-simplify]: Simplify (/ 1 1) into 1 1.062 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 1.062 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 1.062 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.062 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.062 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.062 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.062 * [backup-simplify]: Simplify 1/2 into 1/2 1.062 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.062 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.062 * [taylor]: Taking taylor expansion of phi1 in phi1 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 1 into 1 1.062 * [backup-simplify]: Simplify (/ 1 1) into 1 1.062 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.062 * [taylor]: Taking taylor expansion of phi2 in phi1 1.062 * [backup-simplify]: Simplify phi2 into phi2 1.062 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.063 * [backup-simplify]: Simplify (+ 1 0) into 1 1.063 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.063 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.063 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 1.063 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.064 * [backup-simplify]: Simplify lambda1 into lambda1 1.064 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.064 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.064 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.064 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.064 * [taylor]: Taking taylor expansion of phi2 in phi1 1.064 * [backup-simplify]: Simplify phi2 into phi2 1.064 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.064 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.064 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 1.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.064 * [taylor]: Taking taylor expansion of 2 in phi1 1.064 * [backup-simplify]: Simplify 2 into 2 1.064 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.064 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.065 * [taylor]: Taking taylor expansion of phi1 in phi1 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [taylor]: Taking taylor expansion of phi2 in phi1 1.065 * [backup-simplify]: Simplify phi2 into phi2 1.065 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.066 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.066 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 1.066 * [taylor]: Taking taylor expansion of 2 in phi1 1.066 * [backup-simplify]: Simplify 2 into 2 1.066 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 1.066 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.066 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.066 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.066 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.066 * [backup-simplify]: Simplify 1/2 into 1/2 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.066 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.066 * [taylor]: Taking taylor expansion of phi1 in phi1 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (/ 1 1) into 1 1.066 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.066 * [taylor]: Taking taylor expansion of phi2 in phi1 1.066 * [backup-simplify]: Simplify phi2 into phi2 1.066 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.067 * [backup-simplify]: Simplify (+ 1 0) into 1 1.067 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.068 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.068 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 1.068 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.068 * [backup-simplify]: Simplify lambda2 into lambda2 1.068 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.068 * [backup-simplify]: Simplify lambda1 into lambda1 1.068 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.068 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1.068 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 1.069 * [backup-simplify]: Simplify (+ 1 0) into 1 1.069 * [backup-simplify]: Simplify (+ 0 1) into 1 1.070 * [backup-simplify]: Simplify (+ 1 0) into 1 1.070 * [backup-simplify]: Simplify (sqrt 1) into 1 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.073 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 1.073 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 1.073 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.074 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 1.074 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 1.074 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 1.074 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 1.074 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.074 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.074 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.074 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.074 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.074 * [backup-simplify]: Simplify 1/2 into 1/2 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.074 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.074 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.074 * [backup-simplify]: Simplify phi1 into phi1 1.074 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.074 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.074 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.074 * [backup-simplify]: Simplify phi2 into phi2 1.074 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.074 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.075 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.075 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.075 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.075 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.075 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.076 * [backup-simplify]: Simplify (- 0) into 0 1.076 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.076 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.076 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.077 * [backup-simplify]: Simplify (* 1 1) into 1 1.077 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.077 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.077 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.077 * [backup-simplify]: Simplify phi1 into phi1 1.077 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.077 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.077 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 1.077 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 1.077 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.078 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.078 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.078 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.078 * [backup-simplify]: Simplify 1/2 into 1/2 1.078 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.078 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.078 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.078 * [backup-simplify]: Simplify phi1 into phi1 1.078 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.078 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.078 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.078 * [backup-simplify]: Simplify phi2 into phi2 1.078 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.078 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.078 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.078 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.078 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.079 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.079 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.079 * [backup-simplify]: Simplify (- 0) into 0 1.080 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.080 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 1.080 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.080 * [backup-simplify]: Simplify lambda1 into lambda1 1.080 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.080 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.080 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.080 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.080 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.080 * [backup-simplify]: Simplify phi2 into phi2 1.080 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.080 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.081 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 1.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.081 * [taylor]: Taking taylor expansion of 2 in lambda2 1.081 * [backup-simplify]: Simplify 2 into 2 1.081 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.081 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.081 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.081 * [backup-simplify]: Simplify phi1 into phi1 1.081 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.081 * [backup-simplify]: Simplify phi2 into phi2 1.081 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.081 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.081 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 1.081 * [taylor]: Taking taylor expansion of 2 in lambda2 1.081 * [backup-simplify]: Simplify 2 into 2 1.081 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 1.081 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.081 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.081 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.081 * [backup-simplify]: Simplify 1/2 into 1/2 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.081 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.081 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.081 * [backup-simplify]: Simplify phi1 into phi1 1.081 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.081 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.081 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.081 * [backup-simplify]: Simplify phi2 into phi2 1.081 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.082 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.082 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.082 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.082 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.082 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.082 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.083 * [backup-simplify]: Simplify (- 0) into 0 1.083 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.083 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 1.083 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.083 * [backup-simplify]: Simplify lambda1 into lambda1 1.083 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.083 * [backup-simplify]: Simplify (* 0 lambda1) into 0 1.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 1.084 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 1.084 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.085 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.085 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.085 * [backup-simplify]: Simplify (+ 0) into 0 1.086 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.089 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.089 * [backup-simplify]: Simplify (- 0) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.092 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.093 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.093 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.094 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 1.094 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 1.094 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 1.094 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 1.094 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.094 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.094 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.094 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.094 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.094 * [backup-simplify]: Simplify 1/2 into 1/2 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.094 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.094 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.094 * [backup-simplify]: Simplify phi1 into phi1 1.094 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.094 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.094 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.094 * [backup-simplify]: Simplify phi2 into phi2 1.094 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.094 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.094 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.095 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.095 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.095 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.095 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.096 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.096 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.096 * [backup-simplify]: Simplify lambda2 into lambda2 1.096 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.096 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.096 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.096 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.096 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.096 * [backup-simplify]: Simplify phi1 into phi1 1.097 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.097 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.097 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 1.097 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.097 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.097 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.097 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.097 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.097 * [backup-simplify]: Simplify 1/2 into 1/2 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.097 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.097 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.097 * [backup-simplify]: Simplify phi1 into phi1 1.097 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.097 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.097 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.097 * [backup-simplify]: Simplify phi2 into phi2 1.097 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.097 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.097 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.097 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.098 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.098 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.098 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.099 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.099 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.099 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 1 into 1 1.099 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.099 * [backup-simplify]: Simplify (* 1 1) into 1 1.100 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.100 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.100 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.100 * [backup-simplify]: Simplify phi2 into phi2 1.100 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.100 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.100 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 1.100 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.100 * [taylor]: Taking taylor expansion of 2 in lambda1 1.100 * [backup-simplify]: Simplify 2 into 2 1.100 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.100 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.100 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.100 * [backup-simplify]: Simplify phi1 into phi1 1.100 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.100 * [backup-simplify]: Simplify phi2 into phi2 1.100 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.100 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.100 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 1.100 * [taylor]: Taking taylor expansion of 2 in lambda1 1.100 * [backup-simplify]: Simplify 2 into 2 1.100 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 1.100 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.100 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.100 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.100 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.100 * [backup-simplify]: Simplify 1/2 into 1/2 1.100 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.100 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.100 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.101 * [backup-simplify]: Simplify phi1 into phi1 1.101 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.101 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.101 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.101 * [backup-simplify]: Simplify phi2 into phi2 1.101 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.101 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.101 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.101 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.101 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.101 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.101 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.102 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.102 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1.102 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.102 * [backup-simplify]: Simplify lambda2 into lambda2 1.102 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.103 * [backup-simplify]: Simplify (* lambda2 0) into 0 1.103 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1.103 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.103 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.104 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.104 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.104 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.104 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.105 * [backup-simplify]: Simplify (+ 0) into 0 1.105 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.108 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.108 * [backup-simplify]: Simplify (- 0) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.111 * [backup-simplify]: Simplify (+ 0 0) into 0 1.111 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.112 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.113 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.113 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.113 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.113 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 1.113 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 1.114 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 1.114 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.114 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.114 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.114 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.114 * [backup-simplify]: Simplify 1/2 into 1/2 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.114 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.114 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.114 * [backup-simplify]: Simplify phi1 into phi1 1.114 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.114 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.114 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.114 * [backup-simplify]: Simplify phi2 into phi2 1.114 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.114 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.114 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.114 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.114 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.115 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.115 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.115 * [backup-simplify]: Simplify (- 0) into 0 1.115 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.115 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.116 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.116 * [backup-simplify]: Simplify lambda2 into lambda2 1.116 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.116 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.116 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.116 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.116 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.116 * [backup-simplify]: Simplify phi1 into phi1 1.116 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.116 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.116 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 1.116 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.117 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.117 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.117 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.117 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.117 * [backup-simplify]: Simplify 1/2 into 1/2 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.117 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.117 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.117 * [backup-simplify]: Simplify phi1 into phi1 1.117 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.117 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.117 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.117 * [backup-simplify]: Simplify phi2 into phi2 1.117 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.117 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.117 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.117 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.117 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.118 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.118 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.118 * [backup-simplify]: Simplify (- 0) into 0 1.118 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.118 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.118 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.119 * [backup-simplify]: Simplify (* 1 1) into 1 1.119 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.119 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.119 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.119 * [backup-simplify]: Simplify phi2 into phi2 1.119 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.119 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.119 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 1.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.120 * [taylor]: Taking taylor expansion of 2 in lambda1 1.120 * [backup-simplify]: Simplify 2 into 2 1.120 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.120 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.120 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.120 * [backup-simplify]: Simplify phi1 into phi1 1.120 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.120 * [backup-simplify]: Simplify phi2 into phi2 1.120 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.120 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.120 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 1.120 * [taylor]: Taking taylor expansion of 2 in lambda1 1.120 * [backup-simplify]: Simplify 2 into 2 1.120 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 1.120 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.120 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.120 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.120 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.120 * [backup-simplify]: Simplify 1/2 into 1/2 1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.120 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.120 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.120 * [backup-simplify]: Simplify phi1 into phi1 1.120 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.120 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.120 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.120 * [backup-simplify]: Simplify phi2 into phi2 1.120 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.120 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.120 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.121 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.121 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.121 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.121 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.121 * [backup-simplify]: Simplify (- 0) into 0 1.122 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.122 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1.122 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.122 * [backup-simplify]: Simplify lambda2 into lambda2 1.122 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.122 * [backup-simplify]: Simplify (* lambda2 0) into 0 1.123 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1.123 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.123 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.123 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.124 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.124 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.124 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.124 * [backup-simplify]: Simplify (+ 0) into 0 1.125 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.128 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.128 * [backup-simplify]: Simplify (- 0) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.129 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.132 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.133 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.133 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.134 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.134 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.134 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.134 * [backup-simplify]: Simplify 1/2 into 1/2 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.134 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.134 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.134 * [backup-simplify]: Simplify phi1 into phi1 1.134 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.134 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.134 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.134 * [backup-simplify]: Simplify phi2 into phi2 1.134 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.134 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.134 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.134 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.135 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.135 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 1.135 * [taylor]: Taking taylor expansion of -1 in lambda2 1.135 * [backup-simplify]: Simplify -1 into -1 1.135 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 1.135 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.135 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.135 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.135 * [backup-simplify]: Simplify 1/2 into 1/2 1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.135 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.135 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.135 * [backup-simplify]: Simplify phi1 into phi1 1.135 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.135 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.135 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.135 * [backup-simplify]: Simplify phi2 into phi2 1.135 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.135 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.135 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.135 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.136 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.136 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.136 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.136 * [backup-simplify]: Simplify (- 0) into 0 1.137 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.137 * [backup-simplify]: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.137 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.137 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.137 * [taylor]: Taking taylor expansion of -1 in phi1 1.137 * [backup-simplify]: Simplify -1 into -1 1.137 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.137 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.137 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.137 * [backup-simplify]: Simplify 1/2 into 1/2 1.137 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.137 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.137 * [taylor]: Taking taylor expansion of phi1 in phi1 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.138 * [backup-simplify]: Simplify (/ 1 1) into 1 1.138 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.138 * [taylor]: Taking taylor expansion of phi2 in phi1 1.138 * [backup-simplify]: Simplify phi2 into phi2 1.138 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.138 * [backup-simplify]: Simplify (+ 1 0) into 1 1.139 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.139 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.139 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.139 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.140 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.140 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.140 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.140 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.140 * [backup-simplify]: Simplify 1/2 into 1/2 1.140 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.140 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.140 * [taylor]: Taking taylor expansion of phi1 in phi1 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (/ 1 1) into 1 1.140 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.140 * [taylor]: Taking taylor expansion of phi2 in phi1 1.140 * [backup-simplify]: Simplify phi2 into phi2 1.140 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.141 * [backup-simplify]: Simplify (+ 1 0) into 1 1.141 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.141 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.142 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.143 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.144 * [backup-simplify]: Simplify (+ 0 0) into 0 1.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.146 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.146 * [backup-simplify]: Simplify (- 0) into 0 1.147 * [backup-simplify]: Simplify (+ 0 0) into 0 1.147 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.150 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 1.150 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.151 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 1.151 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.151 * [backup-simplify]: Simplify (+ 0) into 0 1.152 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.152 * [backup-simplify]: Simplify (+ 0 0) into 0 1.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.154 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.156 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 1.156 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 1.157 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 1.157 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 1.157 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.157 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1.158 * [backup-simplify]: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.158 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.158 * [backup-simplify]: Simplify 1/2 into 1/2 1.158 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.158 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 1.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.158 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.158 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.158 * [backup-simplify]: Simplify phi2 into phi2 1.158 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.158 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.158 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.158 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.158 * [backup-simplify]: Simplify phi1 into phi1 1.158 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.158 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.158 * [taylor]: Taking taylor expansion of 2 in lambda2 1.158 * [backup-simplify]: Simplify 2 into 2 1.159 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.159 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.159 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.159 * [backup-simplify]: Simplify phi1 into phi1 1.159 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.159 * [backup-simplify]: Simplify phi2 into phi2 1.159 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.159 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.159 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.159 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.159 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.159 * [backup-simplify]: Simplify 1/2 into 1/2 1.159 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.159 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.159 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.159 * [backup-simplify]: Simplify phi1 into phi1 1.159 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.159 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.159 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.159 * [backup-simplify]: Simplify phi2 into phi2 1.159 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.159 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.159 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.159 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.159 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.159 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.159 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.159 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.160 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.160 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.160 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.160 * [backup-simplify]: Simplify (- 0) into 0 1.160 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.160 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.161 * [backup-simplify]: Simplify (+ 0) into 0 1.161 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.161 * [backup-simplify]: Simplify (+ 0 0) into 0 1.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.162 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.163 * [backup-simplify]: Simplify (- 0) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 1.166 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.166 * [taylor]: Taking taylor expansion of 0 in phi1 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify (+ 0) into 0 1.167 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.168 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.168 * [backup-simplify]: Simplify (- 0) into 0 1.169 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [taylor]: Taking taylor expansion of 0 in phi1 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.169 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 1.169 * [taylor]: Taking taylor expansion of -1 in phi2 1.169 * [backup-simplify]: Simplify -1 into -1 1.169 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.169 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.169 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.169 * [backup-simplify]: Simplify 1/2 into 1/2 1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.169 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.169 * [taylor]: Taking taylor expansion of phi1 in phi2 1.169 * [backup-simplify]: Simplify phi1 into phi1 1.169 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.169 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.169 * [taylor]: Taking taylor expansion of phi2 in phi2 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (/ 1 1) into 1 1.170 * [backup-simplify]: Simplify (+ 0 1) into 1 1.170 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.170 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.170 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.170 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.170 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.170 * [backup-simplify]: Simplify 1/2 into 1/2 1.170 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.170 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.170 * [taylor]: Taking taylor expansion of phi1 in phi2 1.170 * [backup-simplify]: Simplify phi1 into phi1 1.170 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.170 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.170 * [taylor]: Taking taylor expansion of phi2 in phi2 1.170 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (/ 1 1) into 1 1.171 * [backup-simplify]: Simplify (+ 0 1) into 1 1.171 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.171 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.171 * [backup-simplify]: Simplify (+ 0) into 0 1.172 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.172 * [backup-simplify]: Simplify (+ 0 0) into 0 1.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.173 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.173 * [backup-simplify]: Simplify (- 0) into 0 1.174 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.174 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1.174 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 1.174 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 1.175 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.176 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.176 * [backup-simplify]: Simplify (+ 0 0) into 0 1.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.178 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.178 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.179 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.179 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 1.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 1.183 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 1.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.184 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.184 * [backup-simplify]: Simplify (+ 0 0) into 0 1.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.186 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.186 * [backup-simplify]: Simplify (- 0) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.187 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.187 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.188 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 1.188 * [backup-simplify]: Simplify (+ 0 0) into 0 1.188 * [backup-simplify]: Simplify (- 0) into 0 1.189 * [backup-simplify]: Simplify (+ 0 0) into 0 1.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.189 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.189 * [backup-simplify]: Simplify 1/2 into 1/2 1.189 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.189 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 1.189 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 1.189 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 1.189 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.189 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.189 * [backup-simplify]: Simplify phi2 into phi2 1.190 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.190 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 1.190 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.190 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 1.190 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.190 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 1.190 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 1.190 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.190 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.190 * [backup-simplify]: Simplify phi1 into phi1 1.190 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.190 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 1.190 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 1.191 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 1.191 * [taylor]: Taking taylor expansion of 2 in lambda2 1.191 * [backup-simplify]: Simplify 2 into 2 1.191 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 1.191 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 1.191 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify 1 into 1 1.191 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.191 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.191 * [backup-simplify]: Simplify phi1 into phi1 1.191 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.191 * [backup-simplify]: Simplify phi2 into phi2 1.191 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.191 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 1.191 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 1.191 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.191 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.191 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.191 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.191 * [backup-simplify]: Simplify 1/2 into 1/2 1.191 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.191 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.191 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.191 * [backup-simplify]: Simplify phi1 into phi1 1.191 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.191 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.191 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.191 * [backup-simplify]: Simplify phi2 into phi2 1.191 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.192 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.192 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.192 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.192 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.192 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.192 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.192 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.192 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.192 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.192 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.193 * [backup-simplify]: Simplify (- 0) into 0 1.193 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.193 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.193 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.193 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.193 * [backup-simplify]: Simplify 1/2 into 1/2 1.193 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.193 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.193 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.193 * [taylor]: Taking taylor expansion of phi2 in phi1 1.193 * [backup-simplify]: Simplify phi2 into phi2 1.193 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.193 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.194 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.194 * [taylor]: Taking taylor expansion of phi1 in phi1 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (* 1 1) into 1 1.194 * [backup-simplify]: Simplify (/ 1 1) into 1 1.194 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.194 * [taylor]: Taking taylor expansion of 2 in phi1 1.194 * [backup-simplify]: Simplify 2 into 2 1.194 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.194 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.194 * [taylor]: Taking taylor expansion of phi1 in phi1 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [taylor]: Taking taylor expansion of phi2 in phi1 1.194 * [backup-simplify]: Simplify phi2 into phi2 1.194 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.195 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.195 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.195 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.195 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.195 * [backup-simplify]: Simplify 1/2 into 1/2 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.195 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.195 * [taylor]: Taking taylor expansion of phi1 in phi1 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify (/ 1 1) into 1 1.195 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.195 * [taylor]: Taking taylor expansion of phi2 in phi1 1.195 * [backup-simplify]: Simplify phi2 into phi2 1.195 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.195 * [backup-simplify]: Simplify (+ 1 0) into 1 1.196 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.196 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.196 * [backup-simplify]: Simplify (+ 0 1) into 1 1.196 * [backup-simplify]: Simplify (+ 1 0) into 1 1.196 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (+ 0 0) into 0 1.198 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.198 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.198 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.198 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.198 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.199 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.199 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.199 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.199 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.199 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.199 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.199 * [backup-simplify]: Simplify 1/2 into 1/2 1.199 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.199 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.199 * [taylor]: Taking taylor expansion of phi1 in phi2 1.199 * [backup-simplify]: Simplify phi1 into phi1 1.199 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.199 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.199 * [taylor]: Taking taylor expansion of phi2 in phi2 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (/ 1 1) into 1 1.199 * [backup-simplify]: Simplify (+ 0 1) into 1 1.200 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.200 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.200 * [taylor]: Taking taylor expansion of phi2 in phi2 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.200 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.200 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.200 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.201 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.201 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.201 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.201 * [backup-simplify]: Simplify 1/2 into 1/2 1.201 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.201 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.201 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.201 * [taylor]: Taking taylor expansion of phi2 in phi1 1.201 * [backup-simplify]: Simplify phi2 into phi2 1.201 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.201 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.201 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.201 * [taylor]: Taking taylor expansion of phi1 in phi1 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (* 1 1) into 1 1.202 * [backup-simplify]: Simplify (/ 1 1) into 1 1.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.202 * [taylor]: Taking taylor expansion of 2 in phi1 1.202 * [backup-simplify]: Simplify 2 into 2 1.202 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.202 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.202 * [taylor]: Taking taylor expansion of phi1 in phi1 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [taylor]: Taking taylor expansion of phi2 in phi1 1.202 * [backup-simplify]: Simplify phi2 into phi2 1.202 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.202 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.202 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.202 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.202 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.202 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.202 * [backup-simplify]: Simplify 1/2 into 1/2 1.202 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.202 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.202 * [taylor]: Taking taylor expansion of phi1 in phi1 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.203 * [backup-simplify]: Simplify (/ 1 1) into 1 1.203 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.203 * [taylor]: Taking taylor expansion of phi2 in phi1 1.203 * [backup-simplify]: Simplify phi2 into phi2 1.203 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.203 * [backup-simplify]: Simplify (+ 1 0) into 1 1.203 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.203 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.204 * [backup-simplify]: Simplify (+ 0 1) into 1 1.204 * [backup-simplify]: Simplify (+ 1 0) into 1 1.204 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.205 * [backup-simplify]: Simplify (+ 0 0) into 0 1.205 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.205 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.205 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.206 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.206 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.206 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.206 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.206 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.206 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.206 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.206 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.206 * [backup-simplify]: Simplify 1/2 into 1/2 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.206 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.206 * [taylor]: Taking taylor expansion of phi1 in phi2 1.206 * [backup-simplify]: Simplify phi1 into phi1 1.206 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.206 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.206 * [taylor]: Taking taylor expansion of phi2 in phi2 1.206 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify 1 into 1 1.206 * [backup-simplify]: Simplify (/ 1 1) into 1 1.207 * [backup-simplify]: Simplify (+ 0 1) into 1 1.207 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.207 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.207 * [taylor]: Taking taylor expansion of phi2 in phi2 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.208 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.208 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.208 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.208 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.209 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.211 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.211 * [backup-simplify]: Simplify (- 0) into 0 1.211 * [backup-simplify]: Simplify (+ 0 0) into 0 1.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.214 * [taylor]: Taking taylor expansion of 0 in phi1 1.214 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.216 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.218 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.219 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.219 * [backup-simplify]: Simplify (- 0) into 0 1.219 * [backup-simplify]: Simplify (+ 0 0) into 0 1.219 * [taylor]: Taking taylor expansion of 0 in phi1 1.219 * [backup-simplify]: Simplify 0 into 0 1.220 * [taylor]: Taking taylor expansion of 0 in phi2 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [taylor]: Taking taylor expansion of 0 in phi2 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.220 * [taylor]: Taking taylor expansion of 0 in phi2 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [taylor]: Taking taylor expansion of 0 in phi2 1.220 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.221 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.222 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 1.223 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) 1.223 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0 1.223 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 1.224 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 1.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 1.224 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 1.224 * [taylor]: Taking taylor expansion of phi2 in phi2 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (* 1 1) into 1 1.225 * [backup-simplify]: Simplify (/ 1 1) into 1 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 1.225 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 1.225 * [taylor]: Taking taylor expansion of phi1 in phi2 1.225 * [backup-simplify]: Simplify phi1 into phi1 1.225 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.225 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.225 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 1.225 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.225 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.225 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.225 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.225 * [backup-simplify]: Simplify -1/2 into -1/2 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.225 * [taylor]: Taking taylor expansion of phi1 in phi2 1.225 * [backup-simplify]: Simplify phi1 into phi1 1.225 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.225 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.225 * [taylor]: Taking taylor expansion of phi2 in phi2 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (/ 1 1) into 1 1.226 * [backup-simplify]: Simplify (+ 0 1) into 1 1.227 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.227 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.227 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 1.227 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.227 * [backup-simplify]: Simplify lambda1 into lambda1 1.227 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.228 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.228 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.228 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 1.228 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.228 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.228 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.228 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.228 * [backup-simplify]: Simplify -1/2 into -1/2 1.228 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.228 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.228 * [taylor]: Taking taylor expansion of phi1 in phi2 1.228 * [backup-simplify]: Simplify phi1 into phi1 1.228 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.228 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.228 * [taylor]: Taking taylor expansion of phi2 in phi2 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (/ 1 1) into 1 1.229 * [backup-simplify]: Simplify (+ 0 1) into 1 1.229 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.230 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.230 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 1.230 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.230 * [backup-simplify]: Simplify lambda2 into lambda2 1.230 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.230 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.230 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.230 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 1.230 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 1.230 * [taylor]: Taking taylor expansion of 2 in phi2 1.230 * [backup-simplify]: Simplify 2 into 2 1.230 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 1.230 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 1.231 * [taylor]: Taking taylor expansion of phi1 in phi2 1.231 * [backup-simplify]: Simplify phi1 into phi1 1.231 * [taylor]: Taking taylor expansion of phi2 in phi2 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (* phi1 0) into 0 1.231 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1.231 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.231 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 1.231 * [taylor]: Taking taylor expansion of 2 in phi2 1.231 * [backup-simplify]: Simplify 2 into 2 1.231 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 1.231 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.231 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.231 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.231 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.231 * [backup-simplify]: Simplify -1/2 into -1/2 1.231 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.232 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.232 * [taylor]: Taking taylor expansion of phi1 in phi2 1.232 * [backup-simplify]: Simplify phi1 into phi1 1.232 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.232 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.232 * [taylor]: Taking taylor expansion of phi2 in phi2 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 1 into 1 1.232 * [backup-simplify]: Simplify (/ 1 1) into 1 1.233 * [backup-simplify]: Simplify (+ 0 1) into 1 1.233 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.233 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.233 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 1.233 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.233 * [backup-simplify]: Simplify lambda1 into lambda1 1.233 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.233 * [backup-simplify]: Simplify lambda2 into lambda2 1.234 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.234 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 1.234 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 1.234 * [backup-simplify]: Simplify (+ 1 0) into 1 1.235 * [backup-simplify]: Simplify (+ 1 0) into 1 1.235 * [backup-simplify]: Simplify (sqrt 1) into 1 1.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.237 * [backup-simplify]: Simplify (+ 0 0) into 0 1.237 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 1.237 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 1.237 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 1.237 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 1.238 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 1.238 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 1.238 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.238 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.238 * [taylor]: Taking taylor expansion of phi2 in phi1 1.238 * [backup-simplify]: Simplify phi2 into phi2 1.238 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.238 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.239 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.239 * [taylor]: Taking taylor expansion of phi1 in phi1 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (* 1 1) into 1 1.239 * [backup-simplify]: Simplify (/ 1 1) into 1 1.239 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 1.239 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 1.239 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.240 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.240 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.240 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.240 * [backup-simplify]: Simplify -1/2 into -1/2 1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.240 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.240 * [taylor]: Taking taylor expansion of phi1 in phi1 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ 1 1) into 1 1.240 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.240 * [taylor]: Taking taylor expansion of phi2 in phi1 1.240 * [backup-simplify]: Simplify phi2 into phi2 1.240 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.241 * [backup-simplify]: Simplify (+ 1 0) into 1 1.241 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.241 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.241 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 1.241 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.241 * [backup-simplify]: Simplify lambda1 into lambda1 1.242 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.242 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.242 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.242 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 1.242 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.242 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.242 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.242 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.242 * [backup-simplify]: Simplify -1/2 into -1/2 1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.242 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.242 * [taylor]: Taking taylor expansion of phi1 in phi1 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (/ 1 1) into 1 1.243 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.243 * [taylor]: Taking taylor expansion of phi2 in phi1 1.243 * [backup-simplify]: Simplify phi2 into phi2 1.243 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.243 * [backup-simplify]: Simplify (+ 1 0) into 1 1.244 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.244 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.244 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 1.244 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.244 * [backup-simplify]: Simplify lambda2 into lambda2 1.244 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.244 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.245 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.245 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 1.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.245 * [taylor]: Taking taylor expansion of 2 in phi1 1.245 * [backup-simplify]: Simplify 2 into 2 1.245 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.245 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.245 * [taylor]: Taking taylor expansion of phi1 in phi1 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [taylor]: Taking taylor expansion of phi2 in phi1 1.245 * [backup-simplify]: Simplify phi2 into phi2 1.245 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.245 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.245 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.245 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 1.246 * [taylor]: Taking taylor expansion of 2 in phi1 1.246 * [backup-simplify]: Simplify 2 into 2 1.246 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 1.246 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.246 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.246 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.246 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.246 * [backup-simplify]: Simplify -1/2 into -1/2 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.246 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.246 * [taylor]: Taking taylor expansion of phi1 in phi1 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (/ 1 1) into 1 1.246 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.246 * [taylor]: Taking taylor expansion of phi2 in phi1 1.246 * [backup-simplify]: Simplify phi2 into phi2 1.246 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.247 * [backup-simplify]: Simplify (+ 1 0) into 1 1.247 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.247 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.247 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 1.247 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.248 * [backup-simplify]: Simplify lambda1 into lambda1 1.248 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.248 * [backup-simplify]: Simplify lambda2 into lambda2 1.248 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.248 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 1.248 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 1.249 * [backup-simplify]: Simplify (+ 1 0) into 1 1.249 * [backup-simplify]: Simplify (+ 0 1) into 1 1.249 * [backup-simplify]: Simplify (+ 1 0) into 1 1.250 * [backup-simplify]: Simplify (sqrt 1) into 1 1.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.252 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 1.252 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 1.252 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.253 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 1.253 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 1.253 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 1.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 1.253 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.253 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.253 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.253 * [backup-simplify]: Simplify phi2 into phi2 1.253 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.253 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.254 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.254 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.254 * [backup-simplify]: Simplify phi1 into phi1 1.254 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.254 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.254 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 1.254 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 1.254 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.254 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.254 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.254 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.254 * [backup-simplify]: Simplify -1/2 into -1/2 1.254 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.254 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.254 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.254 * [backup-simplify]: Simplify phi1 into phi1 1.254 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.254 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.254 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.254 * [backup-simplify]: Simplify phi2 into phi2 1.254 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.254 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.254 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.255 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.255 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.255 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.255 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.256 * [backup-simplify]: Simplify (- 0) into 0 1.256 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.256 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 1.256 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.256 * [backup-simplify]: Simplify lambda1 into lambda1 1.256 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.256 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1.256 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1.256 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.257 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.257 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.257 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.257 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.257 * [backup-simplify]: Simplify -1/2 into -1/2 1.257 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.257 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.257 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.257 * [backup-simplify]: Simplify phi1 into phi1 1.257 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.257 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.257 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.257 * [backup-simplify]: Simplify phi2 into phi2 1.257 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.257 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.257 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.257 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.257 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.258 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.258 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.258 * [backup-simplify]: Simplify (- 0) into 0 1.258 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.259 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.259 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.259 * [backup-simplify]: Simplify (* 1 1) into 1 1.260 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.260 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 1.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.260 * [taylor]: Taking taylor expansion of 2 in lambda2 1.260 * [backup-simplify]: Simplify 2 into 2 1.260 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.260 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.260 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.260 * [backup-simplify]: Simplify phi1 into phi1 1.260 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.260 * [backup-simplify]: Simplify phi2 into phi2 1.260 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.260 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.260 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 1.260 * [taylor]: Taking taylor expansion of 2 in lambda2 1.260 * [backup-simplify]: Simplify 2 into 2 1.260 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 1.260 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.260 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.260 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.260 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.260 * [backup-simplify]: Simplify -1/2 into -1/2 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.260 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.260 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.260 * [backup-simplify]: Simplify phi1 into phi1 1.260 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.260 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.260 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.260 * [backup-simplify]: Simplify phi2 into phi2 1.260 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.261 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.261 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.261 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.261 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.261 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.261 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.262 * [backup-simplify]: Simplify (- 0) into 0 1.262 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.262 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 1.262 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.262 * [backup-simplify]: Simplify lambda1 into lambda1 1.262 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.262 * [backup-simplify]: Simplify (* lambda1 0) into 0 1.263 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 1.263 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 1.263 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.264 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.264 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.264 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.264 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.265 * [backup-simplify]: Simplify (+ 0) into 0 1.265 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.266 * [backup-simplify]: Simplify (+ 0 0) into 0 1.267 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.268 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.268 * [backup-simplify]: Simplify (- 0) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.272 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1.273 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.273 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1.274 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 1.274 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.274 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.274 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.274 * [backup-simplify]: Simplify phi2 into phi2 1.274 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.274 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.274 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.274 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.274 * [backup-simplify]: Simplify phi1 into phi1 1.274 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.275 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.275 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 1.275 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.275 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.275 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.275 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.275 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.275 * [backup-simplify]: Simplify -1/2 into -1/2 1.275 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.275 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.275 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.275 * [backup-simplify]: Simplify phi1 into phi1 1.275 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.275 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.275 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.275 * [backup-simplify]: Simplify phi2 into phi2 1.275 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.275 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.275 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.275 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.276 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.276 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.276 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.277 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.277 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.277 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.278 * [backup-simplify]: Simplify (* 1 1) into 1 1.278 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.278 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.278 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.278 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.278 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.278 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.278 * [backup-simplify]: Simplify -1/2 into -1/2 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.278 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.278 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.278 * [backup-simplify]: Simplify phi1 into phi1 1.278 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.278 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.278 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.278 * [backup-simplify]: Simplify phi2 into phi2 1.278 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.279 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.279 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.279 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.279 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.279 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.279 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.280 * [backup-simplify]: Simplify (- 0) into 0 1.280 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.280 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.280 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.280 * [backup-simplify]: Simplify lambda2 into lambda2 1.280 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.280 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.281 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.281 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 1.281 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.281 * [taylor]: Taking taylor expansion of 2 in lambda1 1.281 * [backup-simplify]: Simplify 2 into 2 1.281 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.281 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.281 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.281 * [backup-simplify]: Simplify phi1 into phi1 1.281 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.281 * [backup-simplify]: Simplify phi2 into phi2 1.281 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.281 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.281 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 1.281 * [taylor]: Taking taylor expansion of 2 in lambda1 1.281 * [backup-simplify]: Simplify 2 into 2 1.281 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 1.281 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.281 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.281 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.281 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.281 * [backup-simplify]: Simplify -1/2 into -1/2 1.281 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.281 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.281 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.281 * [backup-simplify]: Simplify phi1 into phi1 1.281 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.281 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.281 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.281 * [backup-simplify]: Simplify phi2 into phi2 1.282 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.282 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.282 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.282 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.282 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.282 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.282 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.283 * [backup-simplify]: Simplify (- 0) into 0 1.283 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.283 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 1.283 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.283 * [backup-simplify]: Simplify lambda2 into lambda2 1.283 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.283 * [backup-simplify]: Simplify (* 0 lambda2) into 0 1.284 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 1.284 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.284 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.284 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.285 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.285 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.285 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.286 * [backup-simplify]: Simplify (+ 0) into 0 1.289 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.291 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.291 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.292 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.292 * [backup-simplify]: Simplify (- 0) into 0 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.293 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.297 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.297 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.297 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.298 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.298 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 1.298 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 1.298 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1.298 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 1.298 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.298 * [backup-simplify]: Simplify phi2 into phi2 1.298 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.298 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 1.298 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1.298 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 1.298 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.298 * [backup-simplify]: Simplify phi1 into phi1 1.299 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.299 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.299 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 1.299 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1.299 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.299 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.299 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.299 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.299 * [backup-simplify]: Simplify -1/2 into -1/2 1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.299 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.299 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.299 * [backup-simplify]: Simplify phi1 into phi1 1.299 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.299 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.299 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.299 * [backup-simplify]: Simplify phi2 into phi2 1.299 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.299 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.299 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.299 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.300 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.300 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.300 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.300 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.301 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 1.301 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.301 * [backup-simplify]: Simplify (* 1 1) into 1 1.302 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.302 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1.302 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.302 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.302 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.302 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.302 * [backup-simplify]: Simplify -1/2 into -1/2 1.302 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.302 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.302 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.302 * [backup-simplify]: Simplify phi1 into phi1 1.302 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.302 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.302 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.302 * [backup-simplify]: Simplify phi2 into phi2 1.302 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.302 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.302 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.303 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.303 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.303 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.303 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.304 * [backup-simplify]: Simplify (- 0) into 0 1.304 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.304 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 1.304 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.304 * [backup-simplify]: Simplify lambda2 into lambda2 1.304 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.304 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1.304 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.304 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 1.305 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1.305 * [taylor]: Taking taylor expansion of 2 in lambda1 1.305 * [backup-simplify]: Simplify 2 into 2 1.305 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1.305 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 1.305 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.305 * [backup-simplify]: Simplify phi1 into phi1 1.305 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.305 * [backup-simplify]: Simplify phi2 into phi2 1.305 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.305 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.305 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 1.305 * [taylor]: Taking taylor expansion of 2 in lambda1 1.305 * [backup-simplify]: Simplify 2 into 2 1.305 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 1.305 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.305 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.305 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.305 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.305 * [backup-simplify]: Simplify -1/2 into -1/2 1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.305 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.305 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.305 * [backup-simplify]: Simplify phi1 into phi1 1.305 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.305 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.305 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.305 * [backup-simplify]: Simplify phi2 into phi2 1.305 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.305 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.306 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.306 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.306 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.306 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.306 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.307 * [backup-simplify]: Simplify (- 0) into 0 1.307 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.307 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 1.307 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.307 * [backup-simplify]: Simplify lambda2 into lambda2 1.307 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.308 * [backup-simplify]: Simplify (* 0 lambda2) into 0 1.308 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 1.308 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1.308 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.309 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.309 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.309 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.309 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.310 * [backup-simplify]: Simplify (+ 0) into 0 1.310 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.313 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.313 * [backup-simplify]: Simplify (- 0) into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.314 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.318 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1.318 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.319 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.319 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1.319 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.319 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.319 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.319 * [backup-simplify]: Simplify -1/2 into -1/2 1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.319 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.319 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.319 * [backup-simplify]: Simplify phi1 into phi1 1.320 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.320 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.320 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.320 * [backup-simplify]: Simplify phi2 into phi2 1.320 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.320 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.320 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.320 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.320 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.320 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 1.320 * [taylor]: Taking taylor expansion of -1 in lambda2 1.320 * [backup-simplify]: Simplify -1 into -1 1.320 * [taylor]: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 1.320 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.320 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.320 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.320 * [backup-simplify]: Simplify -1/2 into -1/2 1.320 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.320 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.320 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.321 * [backup-simplify]: Simplify phi1 into phi1 1.321 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.321 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.321 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.321 * [backup-simplify]: Simplify phi2 into phi2 1.321 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.321 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.321 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.321 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.321 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.321 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.322 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.322 * [backup-simplify]: Simplify (- 0) into 0 1.322 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.322 * [backup-simplify]: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.323 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.323 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.323 * [taylor]: Taking taylor expansion of -1 in phi1 1.323 * [backup-simplify]: Simplify -1 into -1 1.323 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.323 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.323 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.323 * [backup-simplify]: Simplify -1/2 into -1/2 1.323 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.323 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.323 * [taylor]: Taking taylor expansion of phi1 in phi1 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (/ 1 1) into 1 1.323 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.323 * [taylor]: Taking taylor expansion of phi2 in phi1 1.323 * [backup-simplify]: Simplify phi2 into phi2 1.323 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.324 * [backup-simplify]: Simplify (+ 1 0) into 1 1.324 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.325 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.325 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.325 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.325 * [backup-simplify]: Simplify (- 0) into 0 1.325 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.325 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.326 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.326 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.326 * [backup-simplify]: Simplify -1/2 into -1/2 1.326 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.326 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.326 * [taylor]: Taking taylor expansion of phi1 in phi1 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (/ 1 1) into 1 1.326 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.326 * [taylor]: Taking taylor expansion of phi2 in phi1 1.326 * [backup-simplify]: Simplify phi2 into phi2 1.326 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.327 * [backup-simplify]: Simplify (+ 1 0) into 1 1.327 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.328 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.329 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.332 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.332 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.333 * [backup-simplify]: Simplify (- 0) into 0 1.333 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.337 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.337 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1.338 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 1.338 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.338 * [backup-simplify]: Simplify (+ 0) into 0 1.339 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.341 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.342 * [backup-simplify]: Simplify (- 0) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 1.344 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 1.344 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 1.344 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 1.345 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.345 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1.347 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.347 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.347 * [backup-simplify]: Simplify 1/2 into 1/2 1.347 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.347 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1.347 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.348 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.348 * [backup-simplify]: Simplify phi2 into phi2 1.348 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.348 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1.348 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.348 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.348 * [backup-simplify]: Simplify phi1 into phi1 1.348 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.348 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1.348 * [taylor]: Taking taylor expansion of 2 in lambda2 1.348 * [backup-simplify]: Simplify 2 into 2 1.348 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1.348 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.348 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.348 * [backup-simplify]: Simplify phi1 into phi1 1.348 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.348 * [backup-simplify]: Simplify phi2 into phi2 1.348 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.348 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.348 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.348 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.348 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.348 * [backup-simplify]: Simplify -1/2 into -1/2 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.348 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.348 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.349 * [backup-simplify]: Simplify phi1 into phi1 1.349 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.349 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.349 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.349 * [backup-simplify]: Simplify phi2 into phi2 1.349 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.349 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.349 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.349 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.349 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.349 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.349 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.350 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.350 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.350 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.350 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.351 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.351 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.352 * [backup-simplify]: Simplify (+ 0) into 0 1.352 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.355 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.355 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 1.357 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.357 * [taylor]: Taking taylor expansion of 0 in phi1 1.357 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ 0) into 0 1.358 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.360 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.361 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.361 * [backup-simplify]: Simplify (- 0) into 0 1.361 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [taylor]: Taking taylor expansion of 0 in phi1 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.362 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 1.362 * [taylor]: Taking taylor expansion of -1 in phi2 1.362 * [backup-simplify]: Simplify -1 into -1 1.362 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.362 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.362 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.362 * [backup-simplify]: Simplify -1/2 into -1/2 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.362 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.362 * [taylor]: Taking taylor expansion of phi1 in phi2 1.362 * [backup-simplify]: Simplify phi1 into phi1 1.362 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.362 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.362 * [taylor]: Taking taylor expansion of phi2 in phi2 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.363 * [backup-simplify]: Simplify (/ 1 1) into 1 1.363 * [backup-simplify]: Simplify (+ 0 1) into 1 1.364 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.364 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.364 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.364 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.364 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.364 * [backup-simplify]: Simplify -1/2 into -1/2 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.364 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.364 * [taylor]: Taking taylor expansion of phi1 in phi2 1.364 * [backup-simplify]: Simplify phi1 into phi1 1.364 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.364 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.364 * [taylor]: Taking taylor expansion of phi2 in phi2 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (/ 1 1) into 1 1.365 * [backup-simplify]: Simplify (+ 0 1) into 1 1.365 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.366 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.366 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 1.366 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 1.367 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.372 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.373 * [backup-simplify]: Simplify (- 0) into 0 1.373 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify (+ 0) into 0 1.379 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.381 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.382 * [backup-simplify]: Simplify (- 0) into 0 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.382 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1.383 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 1.385 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 1.386 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.387 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.387 * [backup-simplify]: Simplify (+ 0 0) into 0 1.388 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.389 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.390 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.390 * [backup-simplify]: Simplify (- 0) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.391 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (- 0) into 0 1.395 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1.396 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.396 * [backup-simplify]: Simplify 1/2 into 1/2 1.396 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1.396 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 1.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 1.396 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 1.396 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 1.396 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 1.396 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.397 * [backup-simplify]: Simplify phi2 into phi2 1.397 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.397 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 1.397 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1.397 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 1.397 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.397 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 1.397 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 1.397 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.398 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 1.398 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.398 * [backup-simplify]: Simplify phi1 into phi1 1.398 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 1.398 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 1.398 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1.398 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 1.398 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 1.399 * [taylor]: Taking taylor expansion of 2 in lambda2 1.399 * [backup-simplify]: Simplify 2 into 2 1.399 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 1.399 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 1.399 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 1 into 1 1.399 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 1.399 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.399 * [backup-simplify]: Simplify phi1 into phi1 1.399 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.399 * [backup-simplify]: Simplify phi2 into phi2 1.399 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 1.399 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 1.399 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1.400 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 1.400 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1.400 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.400 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.400 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.400 * [backup-simplify]: Simplify -1/2 into -1/2 1.400 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.400 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.400 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.400 * [backup-simplify]: Simplify phi1 into phi1 1.400 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.400 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.400 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.400 * [backup-simplify]: Simplify phi2 into phi2 1.400 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.400 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.400 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.400 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.401 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.401 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1.401 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1.401 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1.401 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1.402 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.402 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.402 * [backup-simplify]: Simplify (- 0) into 0 1.402 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.403 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.403 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.403 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.403 * [backup-simplify]: Simplify 1/2 into 1/2 1.403 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.403 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.403 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.404 * [taylor]: Taking taylor expansion of phi2 in phi1 1.404 * [backup-simplify]: Simplify phi2 into phi2 1.404 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.404 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.404 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.404 * [taylor]: Taking taylor expansion of phi1 in phi1 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.405 * [taylor]: Taking taylor expansion of 2 in phi1 1.405 * [backup-simplify]: Simplify 2 into 2 1.405 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.405 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.405 * [taylor]: Taking taylor expansion of phi1 in phi1 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [taylor]: Taking taylor expansion of phi2 in phi1 1.405 * [backup-simplify]: Simplify phi2 into phi2 1.405 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.405 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.405 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.405 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.406 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.406 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.406 * [backup-simplify]: Simplify -1/2 into -1/2 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.406 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.406 * [taylor]: Taking taylor expansion of phi1 in phi1 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (/ 1 1) into 1 1.406 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.406 * [taylor]: Taking taylor expansion of phi2 in phi1 1.406 * [backup-simplify]: Simplify phi2 into phi2 1.406 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.407 * [backup-simplify]: Simplify (+ 1 0) into 1 1.407 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.407 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.408 * [backup-simplify]: Simplify (+ 0 1) into 1 1.408 * [backup-simplify]: Simplify (+ 1 0) into 1 1.408 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.410 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.410 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.411 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.411 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.411 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.411 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.411 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.411 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.412 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.412 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.412 * [backup-simplify]: Simplify -1/2 into -1/2 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.412 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.412 * [taylor]: Taking taylor expansion of phi1 in phi2 1.412 * [backup-simplify]: Simplify phi1 into phi1 1.412 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.412 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.412 * [taylor]: Taking taylor expansion of phi2 in phi2 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (/ 1 1) into 1 1.413 * [backup-simplify]: Simplify (+ 0 1) into 1 1.413 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.413 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.413 * [taylor]: Taking taylor expansion of phi2 in phi2 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.414 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.414 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.415 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.415 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.415 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1.415 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.415 * [backup-simplify]: Simplify 1/2 into 1/2 1.415 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1.416 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1.416 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 1.416 * [taylor]: Taking taylor expansion of phi2 in phi1 1.416 * [backup-simplify]: Simplify phi2 into phi2 1.416 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 1.416 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1.416 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 1.416 * [taylor]: Taking taylor expansion of phi1 in phi1 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (* 1 1) into 1 1.417 * [backup-simplify]: Simplify (/ 1 1) into 1 1.417 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1.417 * [taylor]: Taking taylor expansion of 2 in phi1 1.417 * [backup-simplify]: Simplify 2 into 2 1.417 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1.417 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 1.417 * [taylor]: Taking taylor expansion of phi1 in phi1 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of phi2 in phi1 1.417 * [backup-simplify]: Simplify phi2 into phi2 1.417 * [backup-simplify]: Simplify (* 0 phi2) into 0 1.418 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1.418 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.418 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.418 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.418 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.418 * [backup-simplify]: Simplify -1/2 into -1/2 1.418 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.418 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.418 * [taylor]: Taking taylor expansion of phi1 in phi1 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (/ 1 1) into 1 1.418 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.418 * [taylor]: Taking taylor expansion of phi2 in phi1 1.418 * [backup-simplify]: Simplify phi2 into phi2 1.418 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.419 * [backup-simplify]: Simplify (+ 1 0) into 1 1.419 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.419 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.420 * [backup-simplify]: Simplify (+ 0 1) into 1 1.420 * [backup-simplify]: Simplify (+ 1 0) into 1 1.420 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1.422 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1.422 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1.423 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1.423 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1.423 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1.423 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1.423 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1.424 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.424 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.424 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.424 * [backup-simplify]: Simplify -1/2 into -1/2 1.424 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.424 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.424 * [taylor]: Taking taylor expansion of phi1 in phi2 1.424 * [backup-simplify]: Simplify phi1 into phi1 1.424 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.424 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.424 * [taylor]: Taking taylor expansion of phi2 in phi2 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1 into 1 1.424 * [backup-simplify]: Simplify (/ 1 1) into 1 1.425 * [backup-simplify]: Simplify (+ 0 1) into 1 1.425 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.425 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.425 * [taylor]: Taking taylor expansion of phi2 in phi2 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.426 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.426 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.427 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.427 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1.428 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.429 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.430 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.431 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.431 * [backup-simplify]: Simplify (- 0) into 0 1.431 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.433 * [taylor]: Taking taylor expansion of 0 in phi1 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.436 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.438 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [taylor]: Taking taylor expansion of 0 in phi1 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [taylor]: Taking taylor expansion of 0 in phi2 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [taylor]: Taking taylor expansion of 0 in phi2 1.438 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.439 * [taylor]: Taking taylor expansion of 0 in phi2 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [taylor]: Taking taylor expansion of 0 in phi2 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.439 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1.440 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 1.440 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2) 1.440 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 1.440 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 1.440 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.440 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.440 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.440 * [backup-simplify]: Simplify 1/2 into 1/2 1.440 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.440 * [taylor]: Taking taylor expansion of phi1 in phi2 1.440 * [backup-simplify]: Simplify phi1 into phi1 1.440 * [taylor]: Taking taylor expansion of phi2 in phi2 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.440 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.440 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.440 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.440 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.440 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.440 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.440 * [backup-simplify]: Simplify 1/2 into 1/2 1.440 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.441 * [taylor]: Taking taylor expansion of phi1 in phi1 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 1 into 1 1.441 * [taylor]: Taking taylor expansion of phi2 in phi1 1.441 * [backup-simplify]: Simplify phi2 into phi2 1.441 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.441 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.441 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.441 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.441 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.441 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.441 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.441 * [backup-simplify]: Simplify 1/2 into 1/2 1.441 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.441 * [taylor]: Taking taylor expansion of phi1 in phi1 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 1 into 1 1.441 * [taylor]: Taking taylor expansion of phi2 in phi1 1.441 * [backup-simplify]: Simplify phi2 into phi2 1.441 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.441 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.441 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.441 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.441 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.441 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.441 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.442 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.442 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.442 * [backup-simplify]: Simplify 1/2 into 1/2 1.442 * [taylor]: Taking taylor expansion of phi2 in phi2 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.442 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.442 * [backup-simplify]: Simplify 1 into 1 1.443 * [backup-simplify]: Simplify (+ 0) into 0 1.443 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1.443 * [backup-simplify]: Simplify (+ 1 0) into 1 1.444 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1.444 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.444 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1.444 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.444 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.444 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 1.444 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 1.444 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.445 * [backup-simplify]: Simplify 1/2 into 1/2 1.445 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 1.445 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.445 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.445 * [backup-simplify]: Simplify 1/2 into 1/2 1.445 * [taylor]: Taking taylor expansion of phi2 in phi2 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.445 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.446 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.446 * [backup-simplify]: Simplify (- 0) into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify (+ 0) into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.447 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 1.448 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.449 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 1.449 * [backup-simplify]: Simplify (- 0) into 0 1.449 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.449 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 1.449 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 1.449 * [taylor]: Taking taylor expansion of 1/8 in phi2 1.449 * [backup-simplify]: Simplify 1/8 into 1/8 1.449 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.449 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.449 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.449 * [backup-simplify]: Simplify 1/2 into 1/2 1.449 * [taylor]: Taking taylor expansion of phi2 in phi2 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.450 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 1.451 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.451 * [backup-simplify]: Simplify -1/8 into -1/8 1.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.452 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 1.452 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.452 * [backup-simplify]: Simplify -1/4 into -1/4 1.452 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 1.452 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.452 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.452 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.452 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.452 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.452 * [backup-simplify]: Simplify 1/2 into 1/2 1.452 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.452 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.452 * [taylor]: Taking taylor expansion of phi1 in phi2 1.452 * [backup-simplify]: Simplify phi1 into phi1 1.452 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.452 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.452 * [taylor]: Taking taylor expansion of phi2 in phi2 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.453 * [backup-simplify]: Simplify (/ 1 1) into 1 1.453 * [backup-simplify]: Simplify (+ 0 1) into 1 1.453 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.453 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.453 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.453 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.453 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.453 * [backup-simplify]: Simplify 1/2 into 1/2 1.453 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.453 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.453 * [taylor]: Taking taylor expansion of phi1 in phi1 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (/ 1 1) into 1 1.454 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.454 * [taylor]: Taking taylor expansion of phi2 in phi1 1.454 * [backup-simplify]: Simplify phi2 into phi2 1.454 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.454 * [backup-simplify]: Simplify (+ 1 0) into 1 1.454 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.454 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.454 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.454 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.454 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.454 * [backup-simplify]: Simplify 1/2 into 1/2 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.454 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.454 * [taylor]: Taking taylor expansion of phi1 in phi1 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (/ 1 1) into 1 1.455 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.455 * [taylor]: Taking taylor expansion of phi2 in phi1 1.455 * [backup-simplify]: Simplify phi2 into phi2 1.455 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.455 * [backup-simplify]: Simplify (+ 1 0) into 1 1.455 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.455 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.455 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.455 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.455 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.456 * [backup-simplify]: Simplify 1/2 into 1/2 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.456 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.456 * [taylor]: Taking taylor expansion of phi1 in phi2 1.456 * [backup-simplify]: Simplify phi1 into phi1 1.456 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.456 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.456 * [taylor]: Taking taylor expansion of phi2 in phi2 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.456 * [backup-simplify]: Simplify (+ 0 1) into 1 1.456 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.457 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.457 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.457 * [taylor]: Taking taylor expansion of 0 in phi2 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [taylor]: Taking taylor expansion of 0 in phi2 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [taylor]: Taking taylor expansion of 0 in phi2 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 1.457 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.457 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.457 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.457 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.457 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.457 * [backup-simplify]: Simplify -1/2 into -1/2 1.457 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.457 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.457 * [taylor]: Taking taylor expansion of phi1 in phi2 1.457 * [backup-simplify]: Simplify phi1 into phi1 1.457 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.457 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.457 * [taylor]: Taking taylor expansion of phi2 in phi2 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (/ 1 1) into 1 1.458 * [backup-simplify]: Simplify (+ 0 1) into 1 1.458 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.458 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.458 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.458 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.458 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.458 * [backup-simplify]: Simplify -1/2 into -1/2 1.458 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.458 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.458 * [taylor]: Taking taylor expansion of phi1 in phi1 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.459 * [backup-simplify]: Simplify (/ 1 1) into 1 1.459 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.459 * [taylor]: Taking taylor expansion of phi2 in phi1 1.459 * [backup-simplify]: Simplify phi2 into phi2 1.459 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.459 * [backup-simplify]: Simplify (+ 1 0) into 1 1.459 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.459 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.459 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.459 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.459 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.459 * [backup-simplify]: Simplify -1/2 into -1/2 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.459 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.459 * [taylor]: Taking taylor expansion of phi1 in phi1 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (/ 1 1) into 1 1.460 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.460 * [taylor]: Taking taylor expansion of phi2 in phi1 1.460 * [backup-simplify]: Simplify phi2 into phi2 1.460 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.460 * [backup-simplify]: Simplify (+ 1 0) into 1 1.460 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.460 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.461 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.461 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.461 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.461 * [backup-simplify]: Simplify -1/2 into -1/2 1.461 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.461 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.461 * [taylor]: Taking taylor expansion of phi1 in phi2 1.461 * [backup-simplify]: Simplify phi1 into phi1 1.461 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.461 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.461 * [taylor]: Taking taylor expansion of phi2 in phi2 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [backup-simplify]: Simplify (/ 1 1) into 1 1.461 * [backup-simplify]: Simplify (+ 0 1) into 1 1.462 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.462 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.462 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.462 * [taylor]: Taking taylor expansion of 0 in phi2 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [taylor]: Taking taylor expansion of 0 in phi2 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [taylor]: Taking taylor expansion of 0 in phi2 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 1.462 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 1.462 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 1.462 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 1.462 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.462 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.462 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.462 * [backup-simplify]: Simplify 1/2 into 1/2 1.462 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.462 * [taylor]: Taking taylor expansion of phi1 in phi2 1.462 * [backup-simplify]: Simplify phi1 into phi1 1.462 * [taylor]: Taking taylor expansion of phi2 in phi2 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.462 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.462 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.463 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.463 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.463 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.463 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.463 * [backup-simplify]: Simplify 1/2 into 1/2 1.463 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.463 * [taylor]: Taking taylor expansion of phi1 in phi1 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [taylor]: Taking taylor expansion of phi2 in phi1 1.463 * [backup-simplify]: Simplify phi2 into phi2 1.463 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.463 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.463 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.463 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.463 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.463 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.463 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.463 * [backup-simplify]: Simplify 1/2 into 1/2 1.463 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.463 * [taylor]: Taking taylor expansion of phi1 in phi1 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [taylor]: Taking taylor expansion of phi2 in phi1 1.463 * [backup-simplify]: Simplify phi2 into phi2 1.463 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.463 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.463 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.463 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.463 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.463 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.463 * [backup-simplify]: Simplify (- 0) into 0 1.464 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.464 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.464 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.464 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.464 * [backup-simplify]: Simplify 1/2 into 1/2 1.464 * [taylor]: Taking taylor expansion of phi2 in phi2 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.464 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (+ 0) into 0 1.465 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1.465 * [backup-simplify]: Simplify (+ 1 0) into 1 1.465 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.466 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1.466 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.466 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1.466 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 1.466 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 1.466 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.466 * [backup-simplify]: Simplify 1/2 into 1/2 1.466 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 1.466 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.467 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.467 * [backup-simplify]: Simplify 1/2 into 1/2 1.467 * [taylor]: Taking taylor expansion of phi2 in phi2 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.467 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.468 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.468 * [backup-simplify]: Simplify (- 0) into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (+ 0) into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.470 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 1.472 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.473 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 1.473 * [backup-simplify]: Simplify (- 0) into 0 1.473 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 1.473 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 1.473 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 1.473 * [taylor]: Taking taylor expansion of 1/8 in phi2 1.473 * [backup-simplify]: Simplify 1/8 into 1/8 1.473 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.473 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.473 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.473 * [backup-simplify]: Simplify 1/2 into 1/2 1.473 * [taylor]: Taking taylor expansion of phi2 in phi2 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.474 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.475 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 1.475 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.475 * [backup-simplify]: Simplify -1/8 into -1/8 1.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1.477 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 1.477 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.477 * [backup-simplify]: Simplify -1/4 into -1/4 1.478 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 1.478 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.478 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.478 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.478 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.478 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.478 * [backup-simplify]: Simplify 1/2 into 1/2 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.478 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.478 * [taylor]: Taking taylor expansion of phi1 in phi2 1.478 * [backup-simplify]: Simplify phi1 into phi1 1.478 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.478 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.479 * [taylor]: Taking taylor expansion of phi2 in phi2 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify (/ 1 1) into 1 1.479 * [backup-simplify]: Simplify (+ 0 1) into 1 1.480 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.480 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.480 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.480 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.480 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.480 * [backup-simplify]: Simplify 1/2 into 1/2 1.480 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.480 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.480 * [taylor]: Taking taylor expansion of phi1 in phi1 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify 1 into 1 1.481 * [backup-simplify]: Simplify (/ 1 1) into 1 1.481 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.481 * [taylor]: Taking taylor expansion of phi2 in phi1 1.481 * [backup-simplify]: Simplify phi2 into phi2 1.481 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.481 * [backup-simplify]: Simplify (+ 1 0) into 1 1.482 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.482 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.482 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.482 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.482 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.482 * [backup-simplify]: Simplify 1/2 into 1/2 1.482 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.482 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.482 * [taylor]: Taking taylor expansion of phi1 in phi1 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (/ 1 1) into 1 1.483 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.483 * [taylor]: Taking taylor expansion of phi2 in phi1 1.483 * [backup-simplify]: Simplify phi2 into phi2 1.483 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.483 * [backup-simplify]: Simplify (+ 1 0) into 1 1.484 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.484 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.484 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.484 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.484 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.484 * [backup-simplify]: Simplify 1/2 into 1/2 1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.484 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.484 * [taylor]: Taking taylor expansion of phi1 in phi2 1.484 * [backup-simplify]: Simplify phi1 into phi1 1.484 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.484 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.484 * [taylor]: Taking taylor expansion of phi2 in phi2 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.485 * [backup-simplify]: Simplify (/ 1 1) into 1 1.485 * [backup-simplify]: Simplify (+ 0 1) into 1 1.486 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.486 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.486 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.486 * [taylor]: Taking taylor expansion of 0 in phi2 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [taylor]: Taking taylor expansion of 0 in phi2 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [taylor]: Taking taylor expansion of 0 in phi2 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 1.487 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.487 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1.487 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.487 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.487 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.487 * [backup-simplify]: Simplify -1/2 into -1/2 1.487 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.487 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.487 * [taylor]: Taking taylor expansion of phi1 in phi2 1.487 * [backup-simplify]: Simplify phi1 into phi1 1.487 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.487 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.487 * [taylor]: Taking taylor expansion of phi2 in phi2 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (/ 1 1) into 1 1.488 * [backup-simplify]: Simplify (+ 0 1) into 1 1.488 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.489 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.489 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.489 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.489 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.489 * [backup-simplify]: Simplify -1/2 into -1/2 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.489 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.489 * [taylor]: Taking taylor expansion of phi1 in phi1 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (/ 1 1) into 1 1.489 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.489 * [taylor]: Taking taylor expansion of phi2 in phi1 1.489 * [backup-simplify]: Simplify phi2 into phi2 1.489 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.490 * [backup-simplify]: Simplify (+ 1 0) into 1 1.490 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.490 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.490 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.490 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.491 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.491 * [backup-simplify]: Simplify -1/2 into -1/2 1.491 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.491 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.491 * [taylor]: Taking taylor expansion of phi1 in phi1 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.491 * [taylor]: Taking taylor expansion of phi2 in phi1 1.491 * [backup-simplify]: Simplify phi2 into phi2 1.491 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.492 * [backup-simplify]: Simplify (+ 1 0) into 1 1.492 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.492 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.492 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.492 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.492 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.492 * [backup-simplify]: Simplify -1/2 into -1/2 1.492 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.493 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.493 * [taylor]: Taking taylor expansion of phi1 in phi2 1.493 * [backup-simplify]: Simplify phi1 into phi1 1.493 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.493 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.493 * [taylor]: Taking taylor expansion of phi2 in phi2 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (/ 1 1) into 1 1.494 * [backup-simplify]: Simplify (+ 0 1) into 1 1.494 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.494 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.494 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.495 * [taylor]: Taking taylor expansion of 0 in phi2 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [taylor]: Taking taylor expansion of 0 in phi2 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [taylor]: Taking taylor expansion of 0 in phi2 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 1.496 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.496 * [backup-simplify]: Simplify (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.496 * [approximate]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1.496 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 1.496 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 1.496 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.496 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.496 * [backup-simplify]: Simplify lambda1 into lambda1 1.496 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.496 * [backup-simplify]: Simplify lambda2 into lambda2 1.496 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.496 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.497 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1.497 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1.497 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1.497 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.497 * [backup-simplify]: Simplify 1/2 into 1/2 1.497 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 1.497 * [taylor]: Taking taylor expansion of phi1 in phi2 1.497 * [backup-simplify]: Simplify phi1 into phi1 1.497 * [taylor]: Taking taylor expansion of phi2 in phi2 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (+ phi1 0) into phi1 1.497 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1.497 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1.497 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1.497 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1.497 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1.498 * [backup-simplify]: Simplify (- 0) into 0 1.498 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1.498 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1.498 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 1.498 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 1.498 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.498 * [backup-simplify]: Simplify lambda1 into lambda1 1.498 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.498 * [backup-simplify]: Simplify lambda2 into lambda2 1.498 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.498 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.498 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.498 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.498 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.498 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.498 * [backup-simplify]: Simplify 1/2 into 1/2 1.498 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.498 * [taylor]: Taking taylor expansion of phi1 in phi1 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.499 * [taylor]: Taking taylor expansion of phi2 in phi1 1.499 * [backup-simplify]: Simplify phi2 into phi2 1.499 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.499 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.499 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.499 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.499 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.499 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.499 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.500 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.500 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 1.500 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.500 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.500 * [backup-simplify]: Simplify lambda1 into lambda1 1.500 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.500 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.500 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.500 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.500 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.501 * [backup-simplify]: Simplify 1/2 into 1/2 1.501 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.501 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.501 * [backup-simplify]: Simplify phi1 into phi1 1.501 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.501 * [backup-simplify]: Simplify phi2 into phi2 1.501 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.501 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.501 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.501 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.501 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.501 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.502 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.502 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1.502 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1.502 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.502 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.502 * [backup-simplify]: Simplify lambda2 into lambda2 1.502 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.502 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.502 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.502 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.502 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.502 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.502 * [backup-simplify]: Simplify 1/2 into 1/2 1.502 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.502 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.502 * [backup-simplify]: Simplify phi1 into phi1 1.502 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.502 * [backup-simplify]: Simplify phi2 into phi2 1.502 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.502 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.502 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.503 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.503 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.503 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.503 * [backup-simplify]: Simplify (- 0) into 0 1.503 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.503 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1.503 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1.503 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.504 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.504 * [backup-simplify]: Simplify lambda2 into lambda2 1.504 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.504 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.504 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1.504 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1.504 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1.504 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.504 * [backup-simplify]: Simplify 1/2 into 1/2 1.504 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 1.504 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.504 * [backup-simplify]: Simplify phi1 into phi1 1.504 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.504 * [backup-simplify]: Simplify phi2 into phi2 1.504 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.504 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.504 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.504 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.504 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.505 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.505 * [backup-simplify]: Simplify (- 0) into 0 1.505 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.505 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 1.505 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.506 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.506 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.506 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.506 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.506 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.506 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.506 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.506 * [backup-simplify]: Simplify 1/2 into 1/2 1.506 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.506 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.506 * [backup-simplify]: Simplify phi1 into phi1 1.506 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.506 * [backup-simplify]: Simplify phi2 into phi2 1.506 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.506 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.506 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.506 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.507 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.507 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.507 * [backup-simplify]: Simplify (- 0) into 0 1.507 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.508 * [backup-simplify]: Simplify (+ 0) into 0 1.508 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.510 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.511 * [backup-simplify]: Simplify (- 0) into 0 1.511 * [backup-simplify]: Simplify (+ 0 0) into 0 1.511 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.512 * [backup-simplify]: Simplify (- 0) into 0 1.512 * [backup-simplify]: Simplify (+ 1 0) into 1 1.512 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 1.513 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1.513 * [taylor]: Taking taylor expansion of (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 1.513 * [taylor]: Taking taylor expansion of (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 1.513 * [taylor]: Taking taylor expansion of 2 in lambda2 1.513 * [backup-simplify]: Simplify 2 into 2 1.513 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1.513 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.513 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.513 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.513 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.513 * [backup-simplify]: Simplify 1/2 into 1/2 1.513 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.513 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.513 * [backup-simplify]: Simplify phi1 into phi1 1.513 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.513 * [backup-simplify]: Simplify phi2 into phi2 1.513 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.513 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.513 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.514 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.514 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.514 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.514 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.514 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.515 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 1.515 * [backup-simplify]: Simplify (* 2 0) into 0 1.515 * [backup-simplify]: Simplify (- 0) into 0 1.516 * [taylor]: Taking taylor expansion of 0 in phi1 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [taylor]: Taking taylor expansion of 0 in phi2 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.517 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1.518 * [backup-simplify]: Simplify (+ 0 0) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1.520 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.520 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1.521 * [backup-simplify]: Simplify (- 0) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 1.523 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.523 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1.523 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1.523 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1.523 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.523 * [backup-simplify]: Simplify 1/2 into 1/2 1.523 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 1.523 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.523 * [backup-simplify]: Simplify phi1 into phi1 1.523 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.523 * [backup-simplify]: Simplify phi2 into phi2 1.523 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1.523 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1.524 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1.524 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1.524 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1.524 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1.524 * [backup-simplify]: Simplify (- 0) into 0 1.524 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1.525 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.525 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.525 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.525 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.525 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.525 * [backup-simplify]: Simplify 1/2 into 1/2 1.525 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.525 * [taylor]: Taking taylor expansion of phi1 in phi1 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.525 * [taylor]: Taking taylor expansion of phi2 in phi1 1.525 * [backup-simplify]: Simplify phi2 into phi2 1.525 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.525 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.525 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.525 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.525 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.525 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.526 * [backup-simplify]: Simplify (- 0) into 0 1.526 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.526 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.526 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.526 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.526 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.526 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.526 * [backup-simplify]: Simplify 1/2 into 1/2 1.526 * [taylor]: Taking taylor expansion of phi2 in phi2 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.527 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.528 * [backup-simplify]: Simplify (* 1 1) into 1 1.528 * [backup-simplify]: Simplify 1 into 1 1.528 * [backup-simplify]: Simplify (+ 0) into 0 1.529 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.531 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1.532 * [backup-simplify]: Simplify (- 0) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1.533 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.533 * [backup-simplify]: Simplify (+ (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 0 0)) into (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1.534 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1.534 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 1.534 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1.534 * [taylor]: Taking taylor expansion of 2 in phi1 1.534 * [backup-simplify]: Simplify 2 into 2 1.534 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.534 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.534 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.534 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.534 * [backup-simplify]: Simplify 1/2 into 1/2 1.534 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.534 * [taylor]: Taking taylor expansion of phi1 in phi1 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [taylor]: Taking taylor expansion of phi2 in phi1 1.534 * [backup-simplify]: Simplify phi2 into phi2 1.534 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.534 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.534 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.534 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.534 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.534 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.535 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.535 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 phi2)) 2)) into (* 2 (pow (cos (* 1/2 phi2)) 2)) 1.535 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 phi2)) 2))) into (- (* 2 (pow (cos (* 1/2 phi2)) 2))) 1.535 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 phi2)) 2))) in phi2 1.535 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 phi2)) 2)) in phi2 1.535 * [taylor]: Taking taylor expansion of 2 in phi2 1.535 * [backup-simplify]: Simplify 2 into 2 1.535 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.535 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.535 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.535 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.536 * [backup-simplify]: Simplify 1/2 into 1/2 1.536 * [taylor]: Taking taylor expansion of phi2 in phi2 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.537 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.537 * [backup-simplify]: Simplify (* 1 1) into 1 1.538 * [backup-simplify]: Simplify (* 2 1) into 2 1.538 * [backup-simplify]: Simplify (- 2) into -2 1.538 * [backup-simplify]: Simplify -2 into -2 1.538 * [backup-simplify]: Simplify (* 1 1) into 1 1.539 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.539 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1.539 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1.539 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1.539 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1.539 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 1.539 * [taylor]: Taking taylor expansion of phi1 in phi1 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [taylor]: Taking taylor expansion of phi2 in phi1 1.539 * [backup-simplify]: Simplify phi2 into phi2 1.539 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 1.539 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1.539 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1.539 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1.539 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1.540 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1.540 * [backup-simplify]: Simplify (- 0) into 0 1.540 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1.540 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1.540 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1.540 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1.540 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 1.540 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.540 * [backup-simplify]: Simplify 1/2 into 1/2 1.540 * [taylor]: Taking taylor expansion of phi2 in phi2 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.542 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (* lambda2 1))) 2)) (+ (* -2 (* 1 (* 1 (* lambda2 lambda1)))) (* 1 (pow (* 1 (* 1 (* 1 lambda1))) 2)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) 1.543 * [backup-simplify]: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1.543 * [approximate]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1.543 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 1.543 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.543 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.543 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.543 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.543 * [backup-simplify]: Simplify 1/2 into 1/2 1.543 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.543 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.543 * [taylor]: Taking taylor expansion of phi1 in phi2 1.543 * [backup-simplify]: Simplify phi1 into phi1 1.543 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.543 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.543 * [taylor]: Taking taylor expansion of phi2 in phi2 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.544 * [backup-simplify]: Simplify (/ 1 1) into 1 1.544 * [backup-simplify]: Simplify (+ 0 1) into 1 1.545 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.545 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.545 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 1.545 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1.545 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.545 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.545 * [backup-simplify]: Simplify lambda1 into lambda1 1.545 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.545 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.546 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.546 * [backup-simplify]: Simplify lambda2 into lambda2 1.546 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.546 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.546 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.546 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 1.546 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.546 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.546 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.546 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.546 * [backup-simplify]: Simplify 1/2 into 1/2 1.546 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.546 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.546 * [taylor]: Taking taylor expansion of phi1 in phi1 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (/ 1 1) into 1 1.547 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.547 * [taylor]: Taking taylor expansion of phi2 in phi1 1.547 * [backup-simplify]: Simplify phi2 into phi2 1.547 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.547 * [backup-simplify]: Simplify (+ 1 0) into 1 1.548 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.548 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.548 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 1.548 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1.548 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.548 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.548 * [backup-simplify]: Simplify lambda1 into lambda1 1.548 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.548 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.548 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.548 * [backup-simplify]: Simplify lambda2 into lambda2 1.548 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.548 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.548 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.548 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 1.548 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.548 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.548 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.548 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.549 * [backup-simplify]: Simplify 1/2 into 1/2 1.549 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.549 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.549 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.549 * [backup-simplify]: Simplify phi1 into phi1 1.549 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.549 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.549 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.549 * [backup-simplify]: Simplify phi2 into phi2 1.549 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.549 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.549 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.549 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.549 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.549 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.550 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.550 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.550 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 1.550 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.550 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.550 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.550 * [backup-simplify]: Simplify lambda1 into lambda1 1.550 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.550 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.550 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (/ 1 1) into 1 1.551 * [backup-simplify]: Simplify (- 1) into -1 1.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.552 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1.552 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.552 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.552 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.552 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.552 * [backup-simplify]: Simplify 1/2 into 1/2 1.552 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.552 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.552 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.552 * [backup-simplify]: Simplify phi1 into phi1 1.552 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.552 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.552 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.552 * [backup-simplify]: Simplify phi2 into phi2 1.552 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.552 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.552 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.553 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.553 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.553 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.553 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.553 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.554 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1.554 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.554 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.554 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (/ 1 1) into 1 1.554 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.554 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.554 * [backup-simplify]: Simplify lambda2 into lambda2 1.554 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.555 * [backup-simplify]: Simplify (+ 1 0) into 1 1.555 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1.555 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.555 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.555 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.555 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.555 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.555 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.555 * [backup-simplify]: Simplify phi1 into phi1 1.555 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.555 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.555 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.555 * [backup-simplify]: Simplify phi2 into phi2 1.555 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.555 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.555 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.556 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.556 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.556 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.556 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.557 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.557 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1.557 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.557 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.557 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (/ 1 1) into 1 1.557 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.557 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.557 * [backup-simplify]: Simplify lambda2 into lambda2 1.557 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.558 * [backup-simplify]: Simplify (+ 1 0) into 1 1.558 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.558 * [backup-simplify]: Simplify (* 1 1) into 1 1.559 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.559 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.559 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.559 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.559 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.559 * [backup-simplify]: Simplify 1/2 into 1/2 1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.559 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.559 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.559 * [backup-simplify]: Simplify phi1 into phi1 1.559 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.559 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.559 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.559 * [backup-simplify]: Simplify phi2 into phi2 1.559 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.559 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.559 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.559 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.560 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.560 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.560 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.560 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.562 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 1.562 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 1.562 * [backup-simplify]: Simplify (+ 0) into 0 1.563 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.563 * [backup-simplify]: Simplify (+ 0 0) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.565 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.565 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.565 * [backup-simplify]: Simplify (- 0) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.566 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.567 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.567 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2 1.567 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2 1.567 * [taylor]: Taking taylor expansion of 2 in lambda2 1.567 * [backup-simplify]: Simplify 2 into 2 1.567 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2 1.567 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.567 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.567 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.567 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.567 * [backup-simplify]: Simplify 1/2 into 1/2 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.567 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.567 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.567 * [backup-simplify]: Simplify phi1 into phi1 1.567 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.567 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.567 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.567 * [backup-simplify]: Simplify phi2 into phi2 1.567 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.567 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.568 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.568 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.568 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.568 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.568 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.569 * [backup-simplify]: Simplify (- 0) into 0 1.569 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.569 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.569 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 1.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.576 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.579 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.580 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.582 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.582 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.582 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.582 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.582 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.582 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.582 * [backup-simplify]: Simplify 1/2 into 1/2 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.582 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.582 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.582 * [backup-simplify]: Simplify phi1 into phi1 1.582 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.582 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.582 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.582 * [backup-simplify]: Simplify phi2 into phi2 1.582 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.583 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.583 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.583 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.583 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.583 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.583 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.584 * [backup-simplify]: Simplify (- 0) into 0 1.584 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.584 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.584 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.585 * [backup-simplify]: Simplify (* 1 1) into 1 1.585 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.585 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.585 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.585 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.585 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.585 * [backup-simplify]: Simplify 1/2 into 1/2 1.585 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.585 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.585 * [taylor]: Taking taylor expansion of phi1 in phi1 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 1 into 1 1.585 * [backup-simplify]: Simplify (/ 1 1) into 1 1.586 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.586 * [taylor]: Taking taylor expansion of phi2 in phi1 1.586 * [backup-simplify]: Simplify phi2 into phi2 1.586 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.586 * [backup-simplify]: Simplify (+ 1 0) into 1 1.587 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.587 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.587 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.587 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.587 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.587 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.587 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.587 * [backup-simplify]: Simplify 1/2 into 1/2 1.587 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.587 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.587 * [taylor]: Taking taylor expansion of phi1 in phi2 1.587 * [backup-simplify]: Simplify phi1 into phi1 1.587 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.587 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.587 * [taylor]: Taking taylor expansion of phi2 in phi2 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (/ 1 1) into 1 1.588 * [backup-simplify]: Simplify (+ 0 1) into 1 1.589 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.589 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.589 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.589 * [backup-simplify]: Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.590 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.590 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.590 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1 1.590 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1.590 * [taylor]: Taking taylor expansion of 2 in phi1 1.590 * [backup-simplify]: Simplify 2 into 2 1.590 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.590 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.590 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.590 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.590 * [backup-simplify]: Simplify 1/2 into 1/2 1.590 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.590 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.590 * [taylor]: Taking taylor expansion of phi1 in phi1 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (/ 1 1) into 1 1.591 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.591 * [taylor]: Taking taylor expansion of phi2 in phi1 1.591 * [backup-simplify]: Simplify phi2 into phi2 1.591 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.592 * [backup-simplify]: Simplify (+ 1 0) into 1 1.592 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.592 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.592 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.593 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.593 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.593 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2 1.593 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1.593 * [taylor]: Taking taylor expansion of 2 in phi2 1.593 * [backup-simplify]: Simplify 2 into 2 1.593 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.593 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.593 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.593 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.593 * [backup-simplify]: Simplify 1/2 into 1/2 1.593 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.593 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.593 * [taylor]: Taking taylor expansion of phi1 in phi2 1.593 * [backup-simplify]: Simplify phi1 into phi1 1.593 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.593 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.593 * [taylor]: Taking taylor expansion of phi2 in phi2 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [backup-simplify]: Simplify (+ 0 1) into 1 1.595 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.595 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.595 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.595 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.596 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.596 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.596 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.596 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.596 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.596 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.596 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.596 * [backup-simplify]: Simplify 1/2 into 1/2 1.596 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.596 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.597 * [taylor]: Taking taylor expansion of phi1 in phi1 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify (/ 1 1) into 1 1.597 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.597 * [taylor]: Taking taylor expansion of phi2 in phi1 1.597 * [backup-simplify]: Simplify phi2 into phi2 1.597 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.598 * [backup-simplify]: Simplify (+ 1 0) into 1 1.598 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.599 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.599 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.599 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.599 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.599 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.599 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.599 * [backup-simplify]: Simplify 1/2 into 1/2 1.599 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.599 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.599 * [taylor]: Taking taylor expansion of phi1 in phi2 1.599 * [backup-simplify]: Simplify phi1 into phi1 1.599 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.599 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.599 * [taylor]: Taking taylor expansion of phi2 in phi2 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (/ 1 1) into 1 1.600 * [backup-simplify]: Simplify (+ 0 1) into 1 1.601 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.601 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.601 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.601 * [backup-simplify]: Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.603 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 lambda1))))) 2)) (+ (* (- (* 2 (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) (/ 1 (/ 1 lambda1)))))) (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1.603 * [backup-simplify]: Simplify (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1.603 * [approximate]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1.604 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 1.604 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.604 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.604 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.604 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.604 * [backup-simplify]: Simplify -1/2 into -1/2 1.604 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.604 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.604 * [taylor]: Taking taylor expansion of phi1 in phi2 1.604 * [backup-simplify]: Simplify phi1 into phi1 1.604 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.604 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.604 * [taylor]: Taking taylor expansion of phi2 in phi2 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (/ 1 1) into 1 1.605 * [backup-simplify]: Simplify (+ 0 1) into 1 1.605 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.605 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.605 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 1.606 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1.606 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.606 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.606 * [backup-simplify]: Simplify lambda2 into lambda2 1.606 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.606 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.606 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.606 * [backup-simplify]: Simplify lambda1 into lambda1 1.606 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.606 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.606 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.606 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 1.606 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.606 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.606 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.606 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.606 * [backup-simplify]: Simplify -1/2 into -1/2 1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.606 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.606 * [taylor]: Taking taylor expansion of phi1 in phi1 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (/ 1 1) into 1 1.607 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.607 * [taylor]: Taking taylor expansion of phi2 in phi1 1.607 * [backup-simplify]: Simplify phi2 into phi2 1.607 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.607 * [backup-simplify]: Simplify (+ 1 0) into 1 1.608 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.608 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.608 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 1.608 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1.608 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.608 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.608 * [backup-simplify]: Simplify lambda2 into lambda2 1.608 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.608 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.608 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.608 * [backup-simplify]: Simplify lambda1 into lambda1 1.608 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.608 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.608 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.608 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 1.609 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.609 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.609 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.609 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.609 * [backup-simplify]: Simplify -1/2 into -1/2 1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.609 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.609 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.609 * [backup-simplify]: Simplify phi1 into phi1 1.609 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.609 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.609 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.609 * [backup-simplify]: Simplify phi2 into phi2 1.609 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.609 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.609 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.609 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.609 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.610 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.610 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.610 * [backup-simplify]: Simplify (- 0) into 0 1.610 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.611 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 1.611 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.611 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.611 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (/ 1 1) into 1 1.611 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.611 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.611 * [backup-simplify]: Simplify lambda1 into lambda1 1.611 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.612 * [backup-simplify]: Simplify (+ 1 0) into 1 1.612 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1.612 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.612 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.612 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.612 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.612 * [backup-simplify]: Simplify -1/2 into -1/2 1.612 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.612 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.612 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.612 * [backup-simplify]: Simplify phi1 into phi1 1.612 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.612 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.612 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.612 * [backup-simplify]: Simplify phi2 into phi2 1.612 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.612 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.612 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.613 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.613 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.613 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.613 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.614 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.614 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1.614 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.614 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.614 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.614 * [backup-simplify]: Simplify lambda2 into lambda2 1.614 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.614 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.614 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [backup-simplify]: Simplify (/ 1 1) into 1 1.615 * [backup-simplify]: Simplify (- 1) into -1 1.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.615 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1.615 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1.615 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1.615 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1.615 * [taylor]: Taking taylor expansion of -1/2 in lambda1 1.615 * [backup-simplify]: Simplify -1/2 into -1/2 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1.615 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.616 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.616 * [backup-simplify]: Simplify phi1 into phi1 1.616 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.616 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.616 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.616 * [backup-simplify]: Simplify phi2 into phi2 1.616 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.616 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.616 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.616 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.616 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.616 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.617 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.617 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.617 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1.617 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.617 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.617 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.617 * [backup-simplify]: Simplify lambda2 into lambda2 1.617 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.617 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.617 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (/ 1 1) into 1 1.618 * [backup-simplify]: Simplify (- 1) into -1 1.619 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.619 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.619 * [backup-simplify]: Simplify (* -1 -1) into 1 1.620 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.620 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.620 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.620 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.620 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.620 * [backup-simplify]: Simplify -1/2 into -1/2 1.620 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.620 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.620 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.620 * [backup-simplify]: Simplify phi1 into phi1 1.620 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.620 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.620 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.620 * [backup-simplify]: Simplify phi2 into phi2 1.620 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.620 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.620 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.620 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.620 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.620 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.621 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.621 * [backup-simplify]: Simplify (- 0) into 0 1.621 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (- 0) into 0 1.622 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 1.622 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 1.622 * [backup-simplify]: Simplify (+ 0) into 0 1.622 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.624 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1.624 * [backup-simplify]: Simplify (- 0) into 0 1.624 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1.625 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1.625 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2 1.625 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2 1.625 * [taylor]: Taking taylor expansion of 2 in lambda2 1.625 * [backup-simplify]: Simplify 2 into 2 1.625 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2 1.625 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.625 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.625 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.625 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.625 * [backup-simplify]: Simplify -1/2 into -1/2 1.625 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.625 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.625 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.625 * [backup-simplify]: Simplify phi1 into phi1 1.625 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.625 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.625 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.625 * [backup-simplify]: Simplify phi2 into phi2 1.625 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.625 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.626 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.626 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.626 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.626 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.626 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.626 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.626 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify (- 0) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.628 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 1.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.629 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.630 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1.631 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.631 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1.632 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1.633 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1.633 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1.633 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1.633 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1.633 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1.633 * [taylor]: Taking taylor expansion of -1/2 in lambda2 1.633 * [backup-simplify]: Simplify -1/2 into -1/2 1.633 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1.633 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.633 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.633 * [backup-simplify]: Simplify phi1 into phi1 1.633 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.633 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.633 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.633 * [backup-simplify]: Simplify phi2 into phi2 1.633 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.633 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1.633 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1.634 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.634 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.634 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.634 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1.634 * [backup-simplify]: Simplify (- 0) into 0 1.634 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.634 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 1.634 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.635 * [backup-simplify]: Simplify (* 1 1) into 1 1.635 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.635 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.635 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.635 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.635 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.635 * [backup-simplify]: Simplify -1/2 into -1/2 1.635 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.635 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.635 * [taylor]: Taking taylor expansion of phi1 in phi1 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.635 * [taylor]: Taking taylor expansion of phi2 in phi1 1.635 * [backup-simplify]: Simplify phi2 into phi2 1.635 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.635 * [backup-simplify]: Simplify (+ 1 0) into 1 1.636 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.636 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.636 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.636 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.636 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.636 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.636 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.636 * [backup-simplify]: Simplify -1/2 into -1/2 1.636 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.636 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.636 * [taylor]: Taking taylor expansion of phi1 in phi2 1.636 * [backup-simplify]: Simplify phi1 into phi1 1.636 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.636 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.636 * [taylor]: Taking taylor expansion of phi2 in phi2 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (/ 1 1) into 1 1.637 * [backup-simplify]: Simplify (+ 0 1) into 1 1.637 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.637 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.637 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.637 * [backup-simplify]: Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.638 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.638 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.638 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1 1.638 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1.638 * [taylor]: Taking taylor expansion of 2 in phi1 1.638 * [backup-simplify]: Simplify 2 into 2 1.638 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.638 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.638 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.638 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.638 * [backup-simplify]: Simplify -1/2 into -1/2 1.638 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.638 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.638 * [taylor]: Taking taylor expansion of phi1 in phi1 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (/ 1 1) into 1 1.638 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.638 * [taylor]: Taking taylor expansion of phi2 in phi1 1.638 * [backup-simplify]: Simplify phi2 into phi2 1.638 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.639 * [backup-simplify]: Simplify (+ 1 0) into 1 1.639 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.639 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.639 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.639 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.639 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.639 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2 1.639 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1.639 * [taylor]: Taking taylor expansion of 2 in phi2 1.639 * [backup-simplify]: Simplify 2 into 2 1.639 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.639 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.639 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.639 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.640 * [backup-simplify]: Simplify -1/2 into -1/2 1.640 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.640 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.640 * [taylor]: Taking taylor expansion of phi1 in phi2 1.640 * [backup-simplify]: Simplify phi1 into phi1 1.640 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.640 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.640 * [taylor]: Taking taylor expansion of phi2 in phi2 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (/ 1 1) into 1 1.640 * [backup-simplify]: Simplify (+ 0 1) into 1 1.640 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.641 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.641 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.641 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1.641 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.641 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1.641 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.641 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1.641 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1.641 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1.641 * [taylor]: Taking taylor expansion of -1/2 in phi1 1.641 * [backup-simplify]: Simplify -1/2 into -1/2 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1.641 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.641 * [taylor]: Taking taylor expansion of phi1 in phi1 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.642 * [backup-simplify]: Simplify (/ 1 1) into 1 1.642 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.642 * [taylor]: Taking taylor expansion of phi2 in phi1 1.642 * [backup-simplify]: Simplify phi2 into phi2 1.642 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.642 * [backup-simplify]: Simplify (+ 1 0) into 1 1.642 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.642 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.643 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.643 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1.643 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1.643 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1.643 * [taylor]: Taking taylor expansion of -1/2 in phi2 1.643 * [backup-simplify]: Simplify -1/2 into -1/2 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1.643 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.643 * [taylor]: Taking taylor expansion of phi1 in phi2 1.643 * [backup-simplify]: Simplify phi1 into phi1 1.643 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.643 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.643 * [taylor]: Taking taylor expansion of phi2 in phi2 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (/ 1 1) into 1 1.643 * [backup-simplify]: Simplify (+ 0 1) into 1 1.644 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.644 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1.644 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.644 * [backup-simplify]: Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1.645 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 (- lambda1)))))) 2)) (+ (* (- (* 2 (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1.645 * * * [progress]: simplifying candidates 1.645 * * * * [progress]: [ 1 / 151 ] simplifiying candidate # 1.645 * * * * [progress]: [ 2 / 151 ] simplifiying candidate # 1.645 * * * * [progress]: [ 3 / 151 ] simplifiying candidate # 1.645 * * * * [progress]: [ 4 / 151 ] simplifiying candidate # 1.645 * * * * [progress]: [ 5 / 151 ] simplifiying candidate # 1.645 * * * * [progress]: [ 6 / 151 ] simplifiying candidate # 1.645 * * * * [progress]: [ 7 / 151 ] simplifiying candidate # 1.646 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1.646 * * [simplify]: iters left: 6 (17 enodes) 1.652 * * [simplify]: iters left: 5 (66 enodes) 1.675 * * [simplify]: iters left: 4 (115 enodes) 1.732 * * [simplify]: iters left: 3 (316 enodes) 1.860 * * [simplify]: Extracting #0: cost 1 inf + 0 1.860 * * [simplify]: Extracting #1: cost 4 inf + 0 1.860 * * [simplify]: Extracting #2: cost 7 inf + 0 1.861 * * [simplify]: Extracting #3: cost 23 inf + 0 1.861 * * [simplify]: Extracting #4: cost 149 inf + 0 1.862 * * [simplify]: Extracting #5: cost 208 inf + 44 1.863 * * [simplify]: Extracting #6: cost 204 inf + 2293 1.865 * * [simplify]: Extracting #7: cost 163 inf + 8012 1.878 * * [simplify]: Extracting #8: cost 26 inf + 50766 1.898 * * [simplify]: Extracting #9: cost 0 inf + 58573 1.911 * [simplify]: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 1.911 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 1.911 * * * * [progress]: [ 8 / 151 ] simplifiying candidate # 1.911 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 1.913 * * [simplify]: iters left: 6 (16 enodes) 1.917 * * [simplify]: iters left: 5 (62 enodes) 1.929 * * [simplify]: iters left: 4 (111 enodes) 1.958 * * [simplify]: iters left: 3 (312 enodes) 2.128 * * [simplify]: Extracting #0: cost 1 inf + 0 2.128 * * [simplify]: Extracting #1: cost 3 inf + 0 2.128 * * [simplify]: Extracting #2: cost 5 inf + 0 2.128 * * [simplify]: Extracting #3: cost 21 inf + 0 2.129 * * [simplify]: Extracting #4: cost 139 inf + 0 2.130 * * [simplify]: Extracting #5: cost 199 inf + 44 2.133 * * [simplify]: Extracting #6: cost 199 inf + 1968 2.138 * * [simplify]: Extracting #7: cost 131 inf + 14187 2.156 * * [simplify]: Extracting #8: cost 26 inf + 45686 2.184 * * [simplify]: Extracting #9: cost 0 inf + 55895 2.209 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 2.209 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 2.209 * * * * [progress]: [ 9 / 151 ] simplifiying candidate # 2.210 * [simplify]: Simplifying (sqrt 1) 2.210 * * [simplify]: iters left: 1 (2 enodes) 2.213 * * [simplify]: Extracting #0: cost 1 inf + 0 2.213 * * [simplify]: Extracting #1: cost 0 inf + 1 2.213 * [simplify]: Simplified to 1 2.213 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) 2.214 * * * * [progress]: [ 10 / 151 ] simplifiying candidate # 2.214 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 2.214 * * [simplify]: iters left: 6 (34 enodes) 2.234 * * [simplify]: iters left: 5 (173 enodes) 2.326 * * [simplify]: Extracting #0: cost 1 inf + 0 2.326 * * [simplify]: Extracting #1: cost 3 inf + 0 2.326 * * [simplify]: Extracting #2: cost 6 inf + 0 2.326 * * [simplify]: Extracting #3: cost 60 inf + 0 2.327 * * [simplify]: Extracting #4: cost 168 inf + 0 2.328 * * [simplify]: Extracting #5: cost 241 inf + 0 2.332 * * [simplify]: Extracting #6: cost 200 inf + 15564 2.349 * * [simplify]: Extracting #7: cost 63 inf + 60484 2.374 * * [simplify]: Extracting #8: cost 7 inf + 73587 2.400 * * [simplify]: Extracting #9: cost 0 inf + 76781 2.425 * * [simplify]: Extracting #10: cost 0 inf + 76461 2.439 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 2.439 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 2.439 * * * * [progress]: [ 11 / 151 ] simplifiying candidate # 2.439 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 2.440 * * [simplify]: iters left: 6 (35 enodes) 2.450 * * [simplify]: iters left: 5 (178 enodes) 2.497 * * [simplify]: Extracting #0: cost 1 inf + 0 2.497 * * [simplify]: Extracting #1: cost 3 inf + 0 2.497 * * [simplify]: Extracting #2: cost 6 inf + 0 2.497 * * [simplify]: Extracting #3: cost 58 inf + 0 2.497 * * [simplify]: Extracting #4: cost 172 inf + 0 2.498 * * [simplify]: Extracting #5: cost 235 inf + 85 2.499 * * [simplify]: Extracting #6: cost 191 inf + 15306 2.512 * * [simplify]: Extracting #7: cost 74 inf + 52611 2.535 * * [simplify]: Extracting #8: cost 8 inf + 66818 2.560 * * [simplify]: Extracting #9: cost 0 inf + 71295 2.586 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 2.586 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 2.587 * * * * [progress]: [ 12 / 151 ] simplifiying candidate # 2.587 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 2.587 * * [simplify]: iters left: 6 (35 enodes) 2.598 * * [simplify]: iters left: 5 (178 enodes) 2.642 * * [simplify]: Extracting #0: cost 1 inf + 0 2.642 * * [simplify]: Extracting #1: cost 3 inf + 0 2.642 * * [simplify]: Extracting #2: cost 6 inf + 0 2.642 * * [simplify]: Extracting #3: cost 60 inf + 0 2.642 * * [simplify]: Extracting #4: cost 170 inf + 0 2.643 * * [simplify]: Extracting #5: cost 230 inf + 166 2.645 * * [simplify]: Extracting #6: cost 178 inf + 14825 2.652 * * [simplify]: Extracting #7: cost 44 inf + 55372 2.666 * * [simplify]: Extracting #8: cost 5 inf + 67005 2.678 * * [simplify]: Extracting #9: cost 0 inf + 68927 2.691 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 2.691 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 2.691 * * * * [progress]: [ 13 / 151 ] simplifiying candidate # 2.691 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 2.692 * * [simplify]: iters left: 6 (29 enodes) 2.704 * * [simplify]: iters left: 5 (146 enodes) 2.771 * * [simplify]: iters left: 4 (476 enodes) 3.042 * * [simplify]: Extracting #0: cost 1 inf + 0 3.042 * * [simplify]: Extracting #1: cost 3 inf + 0 3.042 * * [simplify]: Extracting #2: cost 20 inf + 0 3.043 * * [simplify]: Extracting #3: cost 282 inf + 0 3.045 * * [simplify]: Extracting #4: cost 726 inf + 742 3.052 * * [simplify]: Extracting #5: cost 770 inf + 17733 3.088 * * [simplify]: Extracting #6: cost 517 inf + 82722 3.149 * * [simplify]: Extracting #7: cost 303 inf + 151104 3.214 * * [simplify]: Extracting #8: cost 65 inf + 252147 3.296 * * [simplify]: Extracting #9: cost 1 inf + 285337 3.394 * * [simplify]: Extracting #10: cost 0 inf + 285762 3.478 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) 3.478 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 3.479 * * * * [progress]: [ 14 / 151 ] simplifiying candidate # 3.479 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 3.480 * * [simplify]: iters left: 6 (34 enodes) 3.496 * * [simplify]: iters left: 5 (170 enodes) 3.557 * * [simplify]: Extracting #0: cost 1 inf + 0 3.557 * * [simplify]: Extracting #1: cost 3 inf + 0 3.557 * * [simplify]: Extracting #2: cost 10 inf + 0 3.557 * * [simplify]: Extracting #3: cost 78 inf + 0 3.558 * * [simplify]: Extracting #4: cost 160 inf + 42 3.559 * * [simplify]: Extracting #5: cost 207 inf + 207 3.561 * * [simplify]: Extracting #6: cost 166 inf + 14735 3.570 * * [simplify]: Extracting #7: cost 33 inf + 63686 3.584 * * [simplify]: Extracting #8: cost 1 inf + 64060 3.601 * * [simplify]: Extracting #9: cost 0 inf + 64112 3.619 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 3.619 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 3.619 * * * * [progress]: [ 15 / 151 ] simplifiying candidate # 3.620 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 3.620 * * [simplify]: iters left: 6 (29 enodes) 3.628 * * [simplify]: iters left: 5 (142 enodes) 3.675 * * [simplify]: iters left: 4 (432 enodes) 3.925 * * [simplify]: Extracting #0: cost 1 inf + 0 3.925 * * [simplify]: Extracting #1: cost 3 inf + 0 3.925 * * [simplify]: Extracting #2: cost 15 inf + 0 3.925 * * [simplify]: Extracting #3: cost 195 inf + 0 3.927 * * [simplify]: Extracting #4: cost 515 inf + 87 3.934 * * [simplify]: Extracting #5: cost 632 inf + 21089 3.978 * * [simplify]: Extracting #6: cost 283 inf + 117143 4.036 * * [simplify]: Extracting #7: cost 209 inf + 136236 4.112 * * [simplify]: Extracting #8: cost 81 inf + 191013 4.210 * * [simplify]: Extracting #9: cost 4 inf + 230272 4.284 * * [simplify]: Extracting #10: cost 1 inf + 232587 4.349 * * [simplify]: Extracting #11: cost 0 inf + 233452 4.429 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 4.429 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 4.429 * * * * [progress]: [ 16 / 151 ] simplifiying candidate # 4.429 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 4.430 * * [simplify]: iters left: 6 (34 enodes) 4.440 * * [simplify]: iters left: 5 (170 enodes) 4.520 * * [simplify]: Extracting #0: cost 1 inf + 0 4.520 * * [simplify]: Extracting #1: cost 3 inf + 0 4.520 * * [simplify]: Extracting #2: cost 10 inf + 0 4.520 * * [simplify]: Extracting #3: cost 78 inf + 0 4.523 * * [simplify]: Extracting #4: cost 160 inf + 42 4.524 * * [simplify]: Extracting #5: cost 207 inf + 207 4.525 * * [simplify]: Extracting #6: cost 166 inf + 14947 4.533 * * [simplify]: Extracting #7: cost 31 inf + 64720 4.545 * * [simplify]: Extracting #8: cost 1 inf + 64620 4.558 * * [simplify]: Extracting #9: cost 0 inf + 64752 4.581 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 4.581 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 4.581 * * * * [progress]: [ 17 / 151 ] simplifiying candidate # 4.582 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 4.582 * * [simplify]: iters left: 6 (29 enodes) 4.592 * * [simplify]: iters left: 5 (142 enodes) 4.638 * * [simplify]: iters left: 4 (432 enodes) 4.922 * * [simplify]: Extracting #0: cost 1 inf + 0 4.922 * * [simplify]: Extracting #1: cost 3 inf + 0 4.922 * * [simplify]: Extracting #2: cost 15 inf + 0 4.923 * * [simplify]: Extracting #3: cost 197 inf + 0 4.929 * * [simplify]: Extracting #4: cost 523 inf + 128 4.932 * * [simplify]: Extracting #5: cost 683 inf + 5697 4.940 * * [simplify]: Extracting #6: cost 530 inf + 35960 4.965 * * [simplify]: Extracting #7: cost 270 inf + 116504 5.033 * * [simplify]: Extracting #8: cost 54 inf + 209065 5.130 * * [simplify]: Extracting #9: cost 2 inf + 234344 5.205 * * [simplify]: Extracting #10: cost 0 inf + 235954 5.259 * * [simplify]: Extracting #11: cost 0 inf + 235914 5.329 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) 5.329 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 5.329 * * * * [progress]: [ 18 / 151 ] simplifiying candidate # 5.330 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 5.330 * * [simplify]: iters left: 6 (37 enodes) 5.351 * * [simplify]: iters left: 5 (182 enodes) 5.401 * * [simplify]: Extracting #0: cost 1 inf + 0 5.401 * * [simplify]: Extracting #1: cost 3 inf + 0 5.401 * * [simplify]: Extracting #2: cost 6 inf + 0 5.401 * * [simplify]: Extracting #3: cost 56 inf + 0 5.401 * * [simplify]: Extracting #4: cost 166 inf + 0 5.403 * * [simplify]: Extracting #5: cost 231 inf + 44 5.405 * * [simplify]: Extracting #6: cost 190 inf + 12089 5.419 * * [simplify]: Extracting #7: cost 64 inf + 47883 5.443 * * [simplify]: Extracting #8: cost 2 inf + 73701 5.465 * * [simplify]: Extracting #9: cost 0 inf + 74618 5.479 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) 5.479 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 5.479 * * * * [progress]: [ 19 / 151 ] simplifiying candidate # 5.479 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 5.480 * * [simplify]: iters left: 6 (38 enodes) 5.492 * * [simplify]: iters left: 5 (191 enodes) 5.569 * * [simplify]: Extracting #0: cost 1 inf + 0 5.569 * * [simplify]: Extracting #1: cost 3 inf + 0 5.569 * * [simplify]: Extracting #2: cost 6 inf + 0 5.569 * * [simplify]: Extracting #3: cost 60 inf + 0 5.570 * * [simplify]: Extracting #4: cost 189 inf + 0 5.570 * * [simplify]: Extracting #5: cost 232 inf + 1029 5.573 * * [simplify]: Extracting #6: cost 133 inf + 17447 5.582 * * [simplify]: Extracting #7: cost 53 inf + 47217 5.604 * * [simplify]: Extracting #8: cost 5 inf + 69656 5.619 * * [simplify]: Extracting #9: cost 1 inf + 71690 5.634 * * [simplify]: Extracting #10: cost 0 inf + 72915 5.647 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 5.647 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 5.647 * * * * [progress]: [ 20 / 151 ] simplifiying candidate # 5.647 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 5.648 * * [simplify]: iters left: 6 (38 enodes) 5.659 * * [simplify]: iters left: 5 (191 enodes) 5.721 * * [simplify]: Extracting #0: cost 1 inf + 0 5.721 * * [simplify]: Extracting #1: cost 3 inf + 0 5.721 * * [simplify]: Extracting #2: cost 6 inf + 0 5.722 * * [simplify]: Extracting #3: cost 62 inf + 0 5.722 * * [simplify]: Extracting #4: cost 187 inf + 0 5.727 * * [simplify]: Extracting #5: cost 226 inf + 1393 5.732 * * [simplify]: Extracting #6: cost 142 inf + 13891 5.739 * * [simplify]: Extracting #7: cost 72 inf + 39771 5.751 * * [simplify]: Extracting #8: cost 6 inf + 67943 5.763 * * [simplify]: Extracting #9: cost 0 inf + 70387 5.783 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 5.783 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 5.784 * * * * [progress]: [ 21 / 151 ] simplifiying candidate # 5.784 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 5.785 * * [simplify]: iters left: 6 (32 enodes) 5.803 * * [simplify]: iters left: 5 (155 enodes) 5.850 * * [simplify]: iters left: 4 (464 enodes) 6.144 * * [simplify]: Extracting #0: cost 1 inf + 0 6.144 * * [simplify]: Extracting #1: cost 3 inf + 0 6.144 * * [simplify]: Extracting #2: cost 20 inf + 0 6.145 * * [simplify]: Extracting #3: cost 271 inf + 0 6.149 * * [simplify]: Extracting #4: cost 679 inf + 541 6.162 * * [simplify]: Extracting #5: cost 616 inf + 27466 6.197 * * [simplify]: Extracting #6: cost 386 inf + 90951 6.250 * * [simplify]: Extracting #7: cost 324 inf + 110707 6.299 * * [simplify]: Extracting #8: cost 107 inf + 199382 6.373 * * [simplify]: Extracting #9: cost 5 inf + 248804 6.480 * * [simplify]: Extracting #10: cost 0 inf + 251609 6.573 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) 6.573 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 6.573 * * * * [progress]: [ 22 / 151 ] simplifiying candidate # 6.574 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 6.574 * * [simplify]: iters left: 6 (37 enodes) 6.584 * * [simplify]: iters left: 5 (183 enodes) 6.630 * * [simplify]: Extracting #0: cost 1 inf + 0 6.630 * * [simplify]: Extracting #1: cost 3 inf + 0 6.630 * * [simplify]: Extracting #2: cost 10 inf + 0 6.630 * * [simplify]: Extracting #3: cost 78 inf + 0 6.630 * * [simplify]: Extracting #4: cost 176 inf + 1 6.631 * * [simplify]: Extracting #5: cost 212 inf + 334 6.632 * * [simplify]: Extracting #6: cost 163 inf + 12709 6.642 * * [simplify]: Extracting #7: cost 53 inf + 46819 6.661 * * [simplify]: Extracting #8: cost 7 inf + 62671 6.673 * * [simplify]: Extracting #9: cost 1 inf + 66902 6.685 * * [simplify]: Extracting #10: cost 0 inf + 68127 6.703 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 6.703 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 6.703 * * * * [progress]: [ 23 / 151 ] simplifiying candidate # 6.704 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 6.704 * * [simplify]: iters left: 6 (32 enodes) 6.726 * * [simplify]: iters left: 5 (155 enodes) 6.786 * * [simplify]: iters left: 4 (457 enodes) 7.135 * * [simplify]: Extracting #0: cost 1 inf + 0 7.135 * * [simplify]: Extracting #1: cost 3 inf + 0 7.135 * * [simplify]: Extracting #2: cost 14 inf + 0 7.136 * * [simplify]: Extracting #3: cost 237 inf + 0 7.139 * * [simplify]: Extracting #4: cost 632 inf + 128 7.149 * * [simplify]: Extracting #5: cost 680 inf + 12534 7.186 * * [simplify]: Extracting #6: cost 423 inf + 81039 7.212 * * [simplify]: Extracting #7: cost 271 inf + 125473 7.262 * * [simplify]: Extracting #8: cost 51 inf + 217005 7.329 * * [simplify]: Extracting #9: cost 0 inf + 242863 7.389 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) 7.389 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 7.390 * * * * [progress]: [ 24 / 151 ] simplifiying candidate # 7.390 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 7.391 * * [simplify]: iters left: 6 (37 enodes) 7.412 * * [simplify]: iters left: 5 (183 enodes) 7.500 * * [simplify]: Extracting #0: cost 1 inf + 0 7.500 * * [simplify]: Extracting #1: cost 3 inf + 0 7.500 * * [simplify]: Extracting #2: cost 10 inf + 0 7.501 * * [simplify]: Extracting #3: cost 78 inf + 0 7.501 * * [simplify]: Extracting #4: cost 176 inf + 1 7.502 * * [simplify]: Extracting #5: cost 215 inf + 170 7.506 * * [simplify]: Extracting #6: cost 166 inf + 13436 7.520 * * [simplify]: Extracting #7: cost 45 inf + 55066 7.541 * * [simplify]: Extracting #8: cost 8 inf + 63061 7.565 * * [simplify]: Extracting #9: cost 1 inf + 67782 7.589 * * [simplify]: Extracting #10: cost 0 inf + 69007 7.613 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) 7.613 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 7.614 * * * * [progress]: [ 25 / 151 ] simplifiying candidate # 7.614 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 7.615 * * [simplify]: iters left: 6 (32 enodes) 7.633 * * [simplify]: iters left: 5 (155 enodes) 7.701 * * [simplify]: iters left: 4 (457 enodes) 8.001 * * [simplify]: Extracting #0: cost 1 inf + 0 8.002 * * [simplify]: Extracting #1: cost 3 inf + 0 8.002 * * [simplify]: Extracting #2: cost 14 inf + 0 8.002 * * [simplify]: Extracting #3: cost 234 inf + 0 8.004 * * [simplify]: Extracting #4: cost 640 inf + 45 8.008 * * [simplify]: Extracting #5: cost 707 inf + 8507 8.025 * * [simplify]: Extracting #6: cost 477 inf + 63804 8.068 * * [simplify]: Extracting #7: cost 281 inf + 124684 8.152 * * [simplify]: Extracting #8: cost 63 inf + 217009 8.256 * * [simplify]: Extracting #9: cost 0 inf + 248513 8.358 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) 8.359 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 8.359 * * * * [progress]: [ 26 / 151 ] simplifiying candidate # 8.360 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 8.360 * * [simplify]: iters left: 6 (37 enodes) 8.377 * * [simplify]: iters left: 5 (182 enodes) 8.439 * * [simplify]: Extracting #0: cost 1 inf + 0 8.439 * * [simplify]: Extracting #1: cost 3 inf + 0 8.439 * * [simplify]: Extracting #2: cost 6 inf + 0 8.440 * * [simplify]: Extracting #3: cost 56 inf + 0 8.440 * * [simplify]: Extracting #4: cost 162 inf + 0 8.441 * * [simplify]: Extracting #5: cost 218 inf + 370 8.444 * * [simplify]: Extracting #6: cost 179 inf + 5338 8.452 * * [simplify]: Extracting #7: cost 98 inf + 24016 8.473 * * [simplify]: Extracting #8: cost 27 inf + 55111 8.492 * * [simplify]: Extracting #9: cost 0 inf + 71370 8.506 * [simplify]: Simplified to (sqrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) 8.506 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 8.506 * * * * [progress]: [ 27 / 151 ] simplifiying candidate # 8.506 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 8.507 * * [simplify]: iters left: 6 (38 enodes) 8.518 * * [simplify]: iters left: 5 (191 enodes) 8.584 * * [simplify]: Extracting #0: cost 1 inf + 0 8.585 * * [simplify]: Extracting #1: cost 3 inf + 0 8.585 * * [simplify]: Extracting #2: cost 6 inf + 0 8.585 * * [simplify]: Extracting #3: cost 60 inf + 0 8.585 * * [simplify]: Extracting #4: cost 185 inf + 0 8.587 * * [simplify]: Extracting #5: cost 220 inf + 1235 8.592 * * [simplify]: Extracting #6: cost 132 inf + 15760 8.606 * * [simplify]: Extracting #7: cost 57 inf + 42966 8.630 * * [simplify]: Extracting #8: cost 5 inf + 69821 8.646 * * [simplify]: Extracting #9: cost 1 inf + 71682 8.659 * * [simplify]: Extracting #10: cost 0 inf + 72907 8.676 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) 8.677 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 8.677 * * * * [progress]: [ 28 / 151 ] simplifiying candidate # 8.678 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 8.678 * * [simplify]: iters left: 6 (38 enodes) 8.703 * * [simplify]: iters left: 5 (191 enodes) 8.756 * * [simplify]: Extracting #0: cost 1 inf + 0 8.756 * * [simplify]: Extracting #1: cost 3 inf + 0 8.757 * * [simplify]: Extracting #2: cost 6 inf + 0 8.757 * * [simplify]: Extracting #3: cost 62 inf + 0 8.757 * * [simplify]: Extracting #4: cost 183 inf + 0 8.759 * * [simplify]: Extracting #5: cost 224 inf + 701 8.763 * * [simplify]: Extracting #6: cost 166 inf + 13650 8.777 * * [simplify]: Extracting #7: cost 60 inf + 48793 8.803 * * [simplify]: Extracting #8: cost 3 inf + 67325 8.828 * * [simplify]: Extracting #9: cost 0 inf + 70139 8.853 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) 8.854 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 8.854 * * * * [progress]: [ 29 / 151 ] simplifiying candidate # 8.855 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 8.855 * * [simplify]: iters left: 6 (32 enodes) 8.871 * * [simplify]: iters left: 5 (155 enodes) 8.914 * * [simplify]: iters left: 4 (462 enodes) 9.232 * * [simplify]: Extracting #0: cost 1 inf + 0 9.232 * * [simplify]: Extracting #1: cost 3 inf + 0 9.232 * * [simplify]: Extracting #2: cost 20 inf + 0 9.233 * * [simplify]: Extracting #3: cost 284 inf + 0 9.235 * * [simplify]: Extracting #4: cost 672 inf + 1062 9.240 * * [simplify]: Extracting #5: cost 674 inf + 19343 9.253 * * [simplify]: Extracting #6: cost 467 inf + 69174 9.305 * * [simplify]: Extracting #7: cost 229 inf + 151642 9.381 * * [simplify]: Extracting #8: cost 17 inf + 250348 9.492 * * [simplify]: Extracting #9: cost 0 inf + 259701 9.576 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) 9.577 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 9.577 * * * * [progress]: [ 30 / 151 ] simplifiying candidate # 9.577 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 9.578 * * [simplify]: iters left: 6 (37 enodes) 9.599 * * [simplify]: iters left: 5 (183 enodes) 9.683 * * [simplify]: Extracting #0: cost 1 inf + 0 9.683 * * [simplify]: Extracting #1: cost 3 inf + 0 9.683 * * [simplify]: Extracting #2: cost 10 inf + 0 9.683 * * [simplify]: Extracting #3: cost 78 inf + 0 9.683 * * [simplify]: Extracting #4: cost 172 inf + 1 9.684 * * [simplify]: Extracting #5: cost 198 inf + 742 9.686 * * [simplify]: Extracting #6: cost 147 inf + 9265 9.692 * * [simplify]: Extracting #7: cost 54 inf + 39624 9.703 * * [simplify]: Extracting #8: cost 8 inf + 59667 9.716 * * [simplify]: Extracting #9: cost 1 inf + 64374 9.728 * * [simplify]: Extracting #10: cost 0 inf + 65559 9.753 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 9.753 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 9.754 * * * * [progress]: [ 31 / 151 ] simplifiying candidate # 9.754 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 9.755 * * [simplify]: iters left: 6 (32 enodes) 9.767 * * [simplify]: iters left: 5 (155 enodes) 9.809 * * [simplify]: iters left: 4 (455 enodes) 10.179 * * [simplify]: Extracting #0: cost 1 inf + 0 10.179 * * [simplify]: Extracting #1: cost 3 inf + 0 10.180 * * [simplify]: Extracting #2: cost 14 inf + 0 10.180 * * [simplify]: Extracting #3: cost 233 inf + 0 10.183 * * [simplify]: Extracting #4: cost 605 inf + 127 10.197 * * [simplify]: Extracting #5: cost 629 inf + 25142 10.233 * * [simplify]: Extracting #6: cost 367 inf + 89096 10.282 * * [simplify]: Extracting #7: cost 199 inf + 150890 10.342 * * [simplify]: Extracting #8: cost 17 inf + 232991 10.409 * * [simplify]: Extracting #9: cost 0 inf + 241868 10.494 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 10.494 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 10.494 * * * * [progress]: [ 32 / 151 ] simplifiying candidate # 10.495 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 10.495 * * [simplify]: iters left: 6 (37 enodes) 10.507 * * [simplify]: iters left: 5 (183 enodes) 10.558 * * [simplify]: Extracting #0: cost 1 inf + 0 10.558 * * [simplify]: Extracting #1: cost 3 inf + 0 10.558 * * [simplify]: Extracting #2: cost 10 inf + 0 10.558 * * [simplify]: Extracting #3: cost 78 inf + 0 10.558 * * [simplify]: Extracting #4: cost 172 inf + 1 10.559 * * [simplify]: Extracting #5: cost 198 inf + 663 10.561 * * [simplify]: Extracting #6: cost 142 inf + 10199 10.569 * * [simplify]: Extracting #7: cost 39 inf + 47914 10.580 * * [simplify]: Extracting #8: cost 3 inf + 65030 10.600 * * [simplify]: Extracting #9: cost 0 inf + 66399 10.616 * * [simplify]: Extracting #10: cost 0 inf + 66359 10.630 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 10.630 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 10.630 * * * * [progress]: [ 33 / 151 ] simplifiying candidate # 10.630 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 10.630 * * [simplify]: iters left: 6 (32 enodes) 10.639 * * [simplify]: iters left: 5 (155 enodes) 10.707 * * [simplify]: iters left: 4 (455 enodes) 11.459 * * [simplify]: Extracting #0: cost 1 inf + 0 11.459 * * [simplify]: Extracting #1: cost 3 inf + 0 11.459 * * [simplify]: Extracting #2: cost 14 inf + 0 11.460 * * [simplify]: Extracting #3: cost 227 inf + 0 11.463 * * [simplify]: Extracting #4: cost 610 inf + 44 11.473 * * [simplify]: Extracting #5: cost 659 inf + 17602 11.490 * * [simplify]: Extracting #6: cost 400 inf + 80897 11.539 * * [simplify]: Extracting #7: cost 206 inf + 148095 11.598 * * [simplify]: Extracting #8: cost 18 inf + 234351 11.666 * * [simplify]: Extracting #9: cost 0 inf + 242165 11.742 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) 11.742 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 11.743 * * * * [progress]: [ 34 / 151 ] simplifiying candidate # 11.743 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 11.743 * * [simplify]: iters left: 6 (30 enodes) 11.760 * * [simplify]: iters left: 5 (149 enodes) 11.806 * * [simplify]: iters left: 4 (490 enodes) 12.264 * * [simplify]: Extracting #0: cost 1 inf + 0 12.264 * * [simplify]: Extracting #1: cost 3 inf + 0 12.265 * * [simplify]: Extracting #2: cost 24 inf + 0 12.266 * * [simplify]: Extracting #3: cost 331 inf + 0 12.272 * * [simplify]: Extracting #4: cost 925 inf + 2236 12.294 * * [simplify]: Extracting #5: cost 794 inf + 50286 12.317 * * [simplify]: Extracting #6: cost 543 inf + 120259 12.381 * * [simplify]: Extracting #7: cost 352 inf + 195129 12.521 * * [simplify]: Extracting #8: cost 26 inf + 345467 12.650 * * [simplify]: Extracting #9: cost 0 inf + 359035 12.754 * * [simplify]: Extracting #10: cost 0 inf + 358875 12.896 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) 12.896 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 12.896 * * * * [progress]: [ 35 / 151 ] simplifiying candidate # 12.896 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 12.897 * * [simplify]: iters left: 6 (31 enodes) 12.906 * * [simplify]: iters left: 5 (154 enodes) 12.977 * * [simplify]: iters left: 4 (484 enodes) 13.377 * * [simplify]: Extracting #0: cost 1 inf + 0 13.377 * * [simplify]: Extracting #1: cost 3 inf + 0 13.377 * * [simplify]: Extracting #2: cost 20 inf + 0 13.377 * * [simplify]: Extracting #3: cost 331 inf + 0 13.380 * * [simplify]: Extracting #4: cost 822 inf + 253 13.386 * * [simplify]: Extracting #5: cost 906 inf + 17938 13.413 * * [simplify]: Extracting #6: cost 590 inf + 95476 13.465 * * [simplify]: Extracting #7: cost 310 inf + 195049 13.556 * * [simplify]: Extracting #8: cost 23 inf + 327440 13.676 * * [simplify]: Extracting #9: cost 0 inf + 337242 13.789 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 13.789 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 13.789 * * * * [progress]: [ 36 / 151 ] simplifiying candidate # 13.790 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 13.790 * * [simplify]: iters left: 6 (31 enodes) 13.799 * * [simplify]: iters left: 5 (154 enodes) 13.843 * * [simplify]: iters left: 4 (482 enodes) 14.246 * * [simplify]: Extracting #0: cost 1 inf + 0 14.246 * * [simplify]: Extracting #1: cost 3 inf + 0 14.246 * * [simplify]: Extracting #2: cost 24 inf + 0 14.247 * * [simplify]: Extracting #3: cost 370 inf + 0 14.249 * * [simplify]: Extracting #4: cost 838 inf + 1477 14.266 * * [simplify]: Extracting #5: cost 703 inf + 55692 14.290 * * [simplify]: Extracting #6: cost 467 inf + 122035 14.344 * * [simplify]: Extracting #7: cost 298 inf + 180697 14.436 * * [simplify]: Extracting #8: cost 16 inf + 305830 14.518 * * [simplify]: Extracting #9: cost 0 inf + 312790 14.619 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) 14.619 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 14.619 * * * * [progress]: [ 37 / 151 ] simplifiying candidate # 14.619 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 14.619 * * [simplify]: iters left: 6 (24 enodes) 14.626 * * [simplify]: iters left: 5 (117 enodes) 14.654 * * [simplify]: iters left: 4 (388 enodes) 14.940 * * [simplify]: Extracting #0: cost 1 inf + 0 14.940 * * [simplify]: Extracting #1: cost 3 inf + 0 14.940 * * [simplify]: Extracting #2: cost 20 inf + 0 14.941 * * [simplify]: Extracting #3: cost 248 inf + 0 14.945 * * [simplify]: Extracting #4: cost 637 inf + 1109 14.957 * * [simplify]: Extracting #5: cost 543 inf + 29814 14.972 * * [simplify]: Extracting #6: cost 351 inf + 68571 15.007 * * [simplify]: Extracting #7: cost 204 inf + 114827 15.078 * * [simplify]: Extracting #8: cost 4 inf + 186254 15.138 * * [simplify]: Extracting #9: cost 0 inf + 187994 15.200 * * [simplify]: Extracting #10: cost 0 inf + 187954 15.266 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) 15.266 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 15.267 * * * * [progress]: [ 38 / 151 ] simplifiying candidate # 15.267 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 15.268 * * [simplify]: iters left: 6 (30 enodes) 15.285 * * [simplify]: iters left: 5 (146 enodes) 15.326 * * [simplify]: iters left: 4 (429 enodes) 15.627 * * [simplify]: Extracting #0: cost 1 inf + 0 15.627 * * [simplify]: Extracting #1: cost 3 inf + 0 15.627 * * [simplify]: Extracting #2: cost 19 inf + 0 15.628 * * [simplify]: Extracting #3: cost 263 inf + 0 15.632 * * [simplify]: Extracting #4: cost 666 inf + 496 15.647 * * [simplify]: Extracting #5: cost 659 inf + 21500 15.663 * * [simplify]: Extracting #6: cost 422 inf + 79356 15.712 * * [simplify]: Extracting #7: cost 246 inf + 141225 15.767 * * [simplify]: Extracting #8: cost 21 inf + 232870 15.861 * * [simplify]: Extracting #9: cost 0 inf + 242552 15.914 * * [simplify]: Extracting #10: cost 0 inf + 242512 15.984 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 15.984 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 15.984 * * * * [progress]: [ 39 / 151 ] simplifiying candidate # 15.984 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 15.984 * * [simplify]: iters left: 6 (24 enodes) 15.991 * * [simplify]: iters left: 5 (113 enodes) 16.016 * * [simplify]: iters left: 4 (344 enodes) 16.229 * * [simplify]: Extracting #0: cost 1 inf + 0 16.229 * * [simplify]: Extracting #1: cost 3 inf + 0 16.229 * * [simplify]: Extracting #2: cost 14 inf + 0 16.229 * * [simplify]: Extracting #3: cost 204 inf + 0 16.231 * * [simplify]: Extracting #4: cost 514 inf + 371 16.238 * * [simplify]: Extracting #5: cost 469 inf + 22354 16.281 * * [simplify]: Extracting #6: cost 156 inf + 95639 16.340 * * [simplify]: Extracting #7: cost 5 inf + 153528 16.376 * * [simplify]: Extracting #8: cost 0 inf + 155251 16.419 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 16.419 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 16.419 * * * * [progress]: [ 40 / 151 ] simplifiying candidate # 16.420 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 16.420 * * [simplify]: iters left: 6 (30 enodes) 16.429 * * [simplify]: iters left: 5 (146 enodes) 16.469 * * [simplify]: iters left: 4 (429 enodes) 16.738 * * [simplify]: Extracting #0: cost 1 inf + 0 16.738 * * [simplify]: Extracting #1: cost 3 inf + 0 16.738 * * [simplify]: Extracting #2: cost 19 inf + 0 16.739 * * [simplify]: Extracting #3: cost 247 inf + 0 16.741 * * [simplify]: Extracting #4: cost 626 inf + 334 16.746 * * [simplify]: Extracting #5: cost 651 inf + 20467 16.773 * * [simplify]: Extracting #6: cost 432 inf + 70944 16.818 * * [simplify]: Extracting #7: cost 279 inf + 123539 16.881 * * [simplify]: Extracting #8: cost 18 inf + 231652 16.953 * * [simplify]: Extracting #9: cost 0 inf + 239725 17.019 * * [simplify]: Extracting #10: cost 0 inf + 239685 17.088 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 17.088 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 17.089 * * * * [progress]: [ 41 / 151 ] simplifiying candidate # 17.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 17.089 * * [simplify]: iters left: 6 (24 enodes) 17.100 * * [simplify]: iters left: 5 (113 enodes) 17.134 * * [simplify]: iters left: 4 (344 enodes) 17.375 * * [simplify]: Extracting #0: cost 1 inf + 0 17.375 * * [simplify]: Extracting #1: cost 3 inf + 0 17.375 * * [simplify]: Extracting #2: cost 14 inf + 0 17.376 * * [simplify]: Extracting #3: cost 202 inf + 0 17.377 * * [simplify]: Extracting #4: cost 514 inf + 615 17.391 * * [simplify]: Extracting #5: cost 460 inf + 23934 17.421 * * [simplify]: Extracting #6: cost 160 inf + 95598 17.468 * * [simplify]: Extracting #7: cost 7 inf + 152557 17.524 * * [simplify]: Extracting #8: cost 0 inf + 155369 17.572 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 17.572 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 17.573 * * * * [progress]: [ 42 / 151 ] simplifiying candidate # 17.573 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 17.573 * * [simplify]: iters left: 6 (35 enodes) 17.593 * * [simplify]: iters left: 5 (165 enodes) 17.668 * * [simplify]: iters left: 4 (469 enodes) 17.989 * * [simplify]: Extracting #0: cost 1 inf + 0 17.990 * * [simplify]: Extracting #1: cost 3 inf + 0 17.990 * * [simplify]: Extracting #2: cost 30 inf + 0 17.991 * * [simplify]: Extracting #3: cost 323 inf + 0 17.996 * * [simplify]: Extracting #4: cost 776 inf + 782 18.022 * * [simplify]: Extracting #5: cost 687 inf + 50669 18.064 * * [simplify]: Extracting #6: cost 497 inf + 111740 18.124 * * [simplify]: Extracting #7: cost 203 inf + 251769 18.225 * * [simplify]: Extracting #8: cost 3 inf + 356997 18.345 * * [simplify]: Extracting #9: cost 0 inf + 359512 18.454 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) 18.454 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 18.454 * * * * [progress]: [ 43 / 151 ] simplifiying candidate # 18.454 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 18.454 * * [simplify]: iters left: 6 (36 enodes) 18.465 * * [simplify]: iters left: 5 (174 enodes) 18.539 * * [simplify]: Extracting #0: cost 1 inf + 0 18.539 * * [simplify]: Extracting #1: cost 3 inf + 0 18.540 * * [simplify]: Extracting #2: cost 6 inf + 0 18.540 * * [simplify]: Extracting #3: cost 59 inf + 0 18.540 * * [simplify]: Extracting #4: cost 164 inf + 0 18.542 * * [simplify]: Extracting #5: cost 198 inf + 293 18.545 * * [simplify]: Extracting #6: cost 159 inf + 10851 18.555 * * [simplify]: Extracting #7: cost 65 inf + 44942 18.565 * * [simplify]: Extracting #8: cost 9 inf + 60296 18.576 * * [simplify]: Extracting #9: cost 1 inf + 65221 18.587 * * [simplify]: Extracting #10: cost 0 inf + 66406 18.608 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 18.608 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 18.608 * * * * [progress]: [ 44 / 151 ] simplifiying candidate # 18.609 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 18.609 * * [simplify]: iters left: 6 (36 enodes) 18.630 * * [simplify]: iters left: 5 (174 enodes) 18.691 * * [simplify]: Extracting #0: cost 1 inf + 0 18.692 * * [simplify]: Extracting #1: cost 3 inf + 0 18.692 * * [simplify]: Extracting #2: cost 6 inf + 0 18.692 * * [simplify]: Extracting #3: cost 61 inf + 0 18.692 * * [simplify]: Extracting #4: cost 162 inf + 0 18.693 * * [simplify]: Extracting #5: cost 193 inf + 376 18.696 * * [simplify]: Extracting #6: cost 149 inf + 9037 18.708 * * [simplify]: Extracting #7: cost 43 inf + 44092 18.727 * * [simplify]: Extracting #8: cost 4 inf + 62497 18.740 * * [simplify]: Extracting #9: cost 0 inf + 64078 18.751 * * [simplify]: Extracting #10: cost 0 inf + 64038 18.768 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 18.768 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 18.768 * * * * [progress]: [ 45 / 151 ] simplifiying candidate # 18.769 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 18.769 * * [simplify]: iters left: 6 (30 enodes) 18.777 * * [simplify]: iters left: 5 (138 enodes) 18.817 * * [simplify]: iters left: 4 (379 enodes) 19.050 * * [simplify]: Extracting #0: cost 1 inf + 0 19.050 * * [simplify]: Extracting #1: cost 3 inf + 0 19.050 * * [simplify]: Extracting #2: cost 26 inf + 0 19.051 * * [simplify]: Extracting #3: cost 264 inf + 0 19.061 * * [simplify]: Extracting #4: cost 532 inf + 2420 19.072 * * [simplify]: Extracting #5: cost 460 inf + 30750 19.098 * * [simplify]: Extracting #6: cost 350 inf + 59206 19.123 * * [simplify]: Extracting #7: cost 202 inf + 110152 19.167 * * [simplify]: Extracting #8: cost 12 inf + 194243 19.244 * * [simplify]: Extracting #9: cost 0 inf + 201397 19.331 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 19.331 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 19.332 * * * * [progress]: [ 46 / 151 ] simplifiying candidate # 19.332 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 19.333 * * [simplify]: iters left: 6 (35 enodes) 19.347 * * [simplify]: iters left: 5 (166 enodes) 19.398 * * [simplify]: iters left: 4 (443 enodes) 19.728 * * [simplify]: Extracting #0: cost 1 inf + 0 19.728 * * [simplify]: Extracting #1: cost 3 inf + 0 19.728 * * [simplify]: Extracting #2: cost 24 inf + 0 19.729 * * [simplify]: Extracting #3: cost 282 inf + 0 19.733 * * [simplify]: Extracting #4: cost 577 inf + 827 19.739 * * [simplify]: Extracting #5: cost 641 inf + 12796 19.749 * * [simplify]: Extracting #6: cost 462 inf + 61370 19.790 * * [simplify]: Extracting #7: cost 208 inf + 166104 19.860 * * [simplify]: Extracting #8: cost 4 inf + 267027 19.931 * * [simplify]: Extracting #9: cost 0 inf + 270927 19.997 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 19.997 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 19.998 * * * * [progress]: [ 47 / 151 ] simplifiying candidate # 19.998 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 19.998 * * [simplify]: iters left: 6 (30 enodes) 20.010 * * [simplify]: iters left: 5 (138 enodes) 20.045 * * [simplify]: iters left: 4 (370 enodes) 20.344 * * [simplify]: Extracting #0: cost 1 inf + 0 20.344 * * [simplify]: Extracting #1: cost 3 inf + 0 20.344 * * [simplify]: Extracting #2: cost 19 inf + 0 20.345 * * [simplify]: Extracting #3: cost 235 inf + 0 20.348 * * [simplify]: Extracting #4: cost 438 inf + 1119 20.355 * * [simplify]: Extracting #5: cost 486 inf + 15698 20.389 * * [simplify]: Extracting #6: cost 212 inf + 90906 20.431 * * [simplify]: Extracting #7: cost 29 inf + 169628 20.480 * * [simplify]: Extracting #8: cost 12 inf + 177338 20.541 * * [simplify]: Extracting #9: cost 0 inf + 183311 20.590 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) 20.590 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 20.591 * * * * [progress]: [ 48 / 151 ] simplifiying candidate # 20.591 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 20.592 * * [simplify]: iters left: 6 (35 enodes) 20.612 * * [simplify]: iters left: 5 (166 enodes) 20.685 * * [simplify]: iters left: 4 (443 enodes) 20.933 * * [simplify]: Extracting #0: cost 1 inf + 0 20.933 * * [simplify]: Extracting #1: cost 3 inf + 0 20.933 * * [simplify]: Extracting #2: cost 24 inf + 0 20.934 * * [simplify]: Extracting #3: cost 266 inf + 0 20.940 * * [simplify]: Extracting #4: cost 536 inf + 991 20.944 * * [simplify]: Extracting #5: cost 627 inf + 15930 20.969 * * [simplify]: Extracting #6: cost 300 inf + 128169 21.027 * * [simplify]: Extracting #7: cost 94 inf + 221836 21.103 * * [simplify]: Extracting #8: cost 12 inf + 264673 21.181 * * [simplify]: Extracting #9: cost 0 inf + 270483 21.251 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 21.251 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 21.252 * * * * [progress]: [ 49 / 151 ] simplifiying candidate # 21.252 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 21.252 * * [simplify]: iters left: 6 (30 enodes) 21.271 * * [simplify]: iters left: 5 (138 enodes) 21.327 * * [simplify]: iters left: 4 (370 enodes) 21.533 * * [simplify]: Extracting #0: cost 1 inf + 0 21.533 * * [simplify]: Extracting #1: cost 3 inf + 0 21.533 * * [simplify]: Extracting #2: cost 19 inf + 0 21.535 * * [simplify]: Extracting #3: cost 232 inf + 0 21.538 * * [simplify]: Extracting #4: cost 439 inf + 1239 21.549 * * [simplify]: Extracting #5: cost 468 inf + 18938 21.587 * * [simplify]: Extracting #6: cost 220 inf + 86371 21.645 * * [simplify]: Extracting #7: cost 39 inf + 163790 21.699 * * [simplify]: Extracting #8: cost 11 inf + 177528 21.737 * * [simplify]: Extracting #9: cost 0 inf + 183055 21.789 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) 21.789 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 21.789 * * * * [progress]: [ 50 / 151 ] simplifiying candidate # 21.790 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 21.790 * * [simplify]: iters left: 6 (31 enodes) 21.800 * * [simplify]: iters left: 5 (140 enodes) 21.844 * * [simplify]: iters left: 4 (410 enodes) 22.167 * * [simplify]: Extracting #0: cost 1 inf + 0 22.167 * * [simplify]: Extracting #1: cost 3 inf + 0 22.167 * * [simplify]: Extracting #2: cost 26 inf + 0 22.167 * * [simplify]: Extracting #3: cost 282 inf + 0 22.174 * * [simplify]: Extracting #4: cost 736 inf + 1471 22.182 * * [simplify]: Extracting #5: cost 645 inf + 35049 22.199 * * [simplify]: Extracting #6: cost 470 inf + 81590 22.226 * * [simplify]: Extracting #7: cost 314 inf + 143034 22.324 * * [simplify]: Extracting #8: cost 31 inf + 271913 22.437 * * [simplify]: Extracting #9: cost 0 inf + 288207 22.532 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) 22.532 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 22.532 * * * * [progress]: [ 51 / 151 ] simplifiying candidate # 22.533 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 22.533 * * [simplify]: iters left: 6 (32 enodes) 22.542 * * [simplify]: iters left: 5 (149 enodes) 22.585 * * [simplify]: iters left: 4 (443 enodes) 22.991 * * [simplify]: Extracting #0: cost 1 inf + 0 22.991 * * [simplify]: Extracting #1: cost 3 inf + 0 22.992 * * [simplify]: Extracting #2: cost 22 inf + 0 22.992 * * [simplify]: Extracting #3: cost 281 inf + 0 22.994 * * [simplify]: Extracting #4: cost 718 inf + 627 23.000 * * [simplify]: Extracting #5: cost 776 inf + 18230 23.015 * * [simplify]: Extracting #6: cost 554 inf + 72171 23.048 * * [simplify]: Extracting #7: cost 363 inf + 136618 23.119 * * [simplify]: Extracting #8: cost 48 inf + 273628 23.226 * * [simplify]: Extracting #9: cost 0 inf + 296065 23.306 * * [simplify]: Extracting #10: cost 0 inf + 295985 23.416 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 23.416 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 23.416 * * * * [progress]: [ 52 / 151 ] simplifiying candidate # 23.416 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 23.417 * * [simplify]: iters left: 6 (32 enodes) 23.426 * * [simplify]: iters left: 5 (149 enodes) 23.466 * * [simplify]: iters left: 4 (441 enodes) 23.814 * * [simplify]: Extracting #0: cost 1 inf + 0 23.814 * * [simplify]: Extracting #1: cost 3 inf + 0 23.814 * * [simplify]: Extracting #2: cost 26 inf + 0 23.815 * * [simplify]: Extracting #3: cost 318 inf + 0 23.817 * * [simplify]: Extracting #4: cost 742 inf + 1278 23.824 * * [simplify]: Extracting #5: cost 673 inf + 32232 23.847 * * [simplify]: Extracting #6: cost 477 inf + 79333 23.882 * * [simplify]: Extracting #7: cost 289 inf + 147722 23.958 * * [simplify]: Extracting #8: cost 33 inf + 259166 24.068 * * [simplify]: Extracting #9: cost 0 inf + 276031 24.153 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) 24.153 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 24.153 * * * * [progress]: [ 53 / 151 ] simplifiying candidate # 24.154 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 24.154 * * [simplify]: iters left: 6 (25 enodes) 24.161 * * [simplify]: iters left: 5 (108 enodes) 24.197 * * [simplify]: iters left: 4 (312 enodes) 24.392 * * [simplify]: Extracting #0: cost 1 inf + 0 24.392 * * [simplify]: Extracting #1: cost 3 inf + 0 24.392 * * [simplify]: Extracting #2: cost 22 inf + 0 24.393 * * [simplify]: Extracting #3: cost 220 inf + 0 24.396 * * [simplify]: Extracting #4: cost 524 inf + 1030 24.406 * * [simplify]: Extracting #5: cost 427 inf + 22801 24.429 * * [simplify]: Extracting #6: cost 192 inf + 85477 24.470 * * [simplify]: Extracting #7: cost 16 inf + 148950 24.524 * * [simplify]: Extracting #8: cost 0 inf + 155350 24.587 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 24.587 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 24.587 * * * * [progress]: [ 54 / 151 ] simplifiying candidate # 24.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 24.588 * * [simplify]: iters left: 6 (31 enodes) 24.597 * * [simplify]: iters left: 5 (141 enodes) 24.642 * * [simplify]: iters left: 4 (384 enodes) 24.928 * * [simplify]: Extracting #0: cost 1 inf + 0 24.929 * * [simplify]: Extracting #1: cost 3 inf + 0 24.929 * * [simplify]: Extracting #2: cost 22 inf + 0 24.930 * * [simplify]: Extracting #3: cost 264 inf + 0 24.933 * * [simplify]: Extracting #4: cost 576 inf + 540 24.942 * * [simplify]: Extracting #5: cost 560 inf + 18060 24.961 * * [simplify]: Extracting #6: cost 408 inf + 52588 24.990 * * [simplify]: Extracting #7: cost 256 inf + 106636 25.047 * * [simplify]: Extracting #8: cost 8 inf + 209323 25.135 * * [simplify]: Extracting #9: cost 0 inf + 212641 25.188 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 25.188 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 25.188 * * * * [progress]: [ 55 / 151 ] simplifiying candidate # 25.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 25.189 * * [simplify]: iters left: 6 (25 enodes) 25.202 * * [simplify]: iters left: 5 (108 enodes) 25.249 * * [simplify]: iters left: 4 (303 enodes) 25.440 * * [simplify]: Extracting #0: cost 1 inf + 0 25.440 * * [simplify]: Extracting #1: cost 3 inf + 0 25.440 * * [simplify]: Extracting #2: cost 16 inf + 0 25.440 * * [simplify]: Extracting #3: cost 201 inf + 0 25.442 * * [simplify]: Extracting #4: cost 408 inf + 1117 25.446 * * [simplify]: Extracting #5: cost 392 inf + 13772 25.458 * * [simplify]: Extracting #6: cost 188 inf + 58801 25.484 * * [simplify]: Extracting #7: cost 14 inf + 121394 25.520 * * [simplify]: Extracting #8: cost 0 inf + 127664 25.558 * * [simplify]: Extracting #9: cost 0 inf + 127584 25.602 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 25.602 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 25.603 * * * * [progress]: [ 56 / 151 ] simplifiying candidate # 25.603 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 25.603 * * [simplify]: iters left: 6 (31 enodes) 25.621 * * [simplify]: iters left: 5 (141 enodes) 25.679 * * [simplify]: iters left: 4 (384 enodes) 25.890 * * [simplify]: Extracting #0: cost 1 inf + 0 25.890 * * [simplify]: Extracting #1: cost 3 inf + 0 25.890 * * [simplify]: Extracting #2: cost 22 inf + 0 25.891 * * [simplify]: Extracting #3: cost 248 inf + 0 25.894 * * [simplify]: Extracting #4: cost 539 inf + 459 25.903 * * [simplify]: Extracting #5: cost 568 inf + 16202 25.922 * * [simplify]: Extracting #6: cost 442 inf + 39815 25.959 * * [simplify]: Extracting #7: cost 267 inf + 103916 26.042 * * [simplify]: Extracting #8: cost 7 inf + 208659 26.104 * * [simplify]: Extracting #9: cost 0 inf + 211380 26.163 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 26.163 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 26.163 * * * * [progress]: [ 57 / 151 ] simplifiying candidate # 26.163 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 26.164 * * [simplify]: iters left: 6 (25 enodes) 26.170 * * [simplify]: iters left: 5 (108 enodes) 26.201 * * [simplify]: iters left: 4 (303 enodes) 26.395 * * [simplify]: Extracting #0: cost 1 inf + 0 26.395 * * [simplify]: Extracting #1: cost 3 inf + 0 26.395 * * [simplify]: Extracting #2: cost 16 inf + 0 26.396 * * [simplify]: Extracting #3: cost 198 inf + 0 26.398 * * [simplify]: Extracting #4: cost 414 inf + 749 26.406 * * [simplify]: Extracting #5: cost 387 inf + 14998 26.429 * * [simplify]: Extracting #6: cost 181 inf + 62415 26.476 * * [simplify]: Extracting #7: cost 40 inf + 110466 26.531 * * [simplify]: Extracting #8: cost 0 inf + 127666 26.564 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) 26.564 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 26.565 * * * * [progress]: [ 58 / 151 ] simplifiying candidate # 26.565 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 26.566 * * [simplify]: iters left: 6 (35 enodes) 26.579 * * [simplify]: iters left: 5 (165 enodes) 26.635 * * [simplify]: iters left: 4 (469 enodes) 26.990 * * [simplify]: Extracting #0: cost 1 inf + 0 26.990 * * [simplify]: Extracting #1: cost 3 inf + 0 26.990 * * [simplify]: Extracting #2: cost 30 inf + 0 26.992 * * [simplify]: Extracting #3: cost 325 inf + 0 26.996 * * [simplify]: Extracting #4: cost 777 inf + 538 27.008 * * [simplify]: Extracting #5: cost 757 inf + 19893 27.042 * * [simplify]: Extracting #6: cost 566 inf + 75120 27.072 * * [simplify]: Extracting #7: cost 422 inf + 126085 27.129 * * [simplify]: Extracting #8: cost 138 inf + 266388 27.228 * * [simplify]: Extracting #9: cost 4 inf + 343311 27.345 * * [simplify]: Extracting #10: cost 0 inf + 346451 27.426 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 27.426 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 27.427 * * * * [progress]: [ 59 / 151 ] simplifiying candidate # 27.427 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 27.427 * * [simplify]: iters left: 6 (36 enodes) 27.446 * * [simplify]: iters left: 5 (174 enodes) 27.516 * * [simplify]: Extracting #0: cost 1 inf + 0 27.516 * * [simplify]: Extracting #1: cost 3 inf + 0 27.516 * * [simplify]: Extracting #2: cost 6 inf + 0 27.516 * * [simplify]: Extracting #3: cost 59 inf + 0 27.516 * * [simplify]: Extracting #4: cost 166 inf + 0 27.517 * * [simplify]: Extracting #5: cost 211 inf + 44 27.519 * * [simplify]: Extracting #6: cost 168 inf + 13357 27.525 * * [simplify]: Extracting #7: cost 53 inf + 51438 27.538 * * [simplify]: Extracting #8: cost 7 inf + 60593 27.559 * * [simplify]: Extracting #9: cost 1 inf + 64261 27.573 * * [simplify]: Extracting #10: cost 0 inf + 65446 27.584 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 27.584 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 27.584 * * * * [progress]: [ 60 / 151 ] simplifiying candidate # 27.584 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 27.585 * * [simplify]: iters left: 6 (36 enodes) 27.598 * * [simplify]: iters left: 5 (174 enodes) 27.675 * * [simplify]: Extracting #0: cost 1 inf + 0 27.675 * * [simplify]: Extracting #1: cost 3 inf + 0 27.675 * * [simplify]: Extracting #2: cost 6 inf + 0 27.675 * * [simplify]: Extracting #3: cost 61 inf + 0 27.676 * * [simplify]: Extracting #4: cost 164 inf + 0 27.677 * * [simplify]: Extracting #5: cost 207 inf + 44 27.680 * * [simplify]: Extracting #6: cost 170 inf + 9992 27.694 * * [simplify]: Extracting #7: cost 39 inf + 54211 27.706 * * [simplify]: Extracting #8: cost 4 inf + 62278 27.717 * * [simplify]: Extracting #9: cost 0 inf + 63118 27.731 * * [simplify]: Extracting #10: cost 0 inf + 63078 27.751 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 27.751 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 27.751 * * * * [progress]: [ 61 / 151 ] simplifiying candidate # 27.752 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 27.752 * * [simplify]: iters left: 6 (30 enodes) 27.769 * * [simplify]: iters left: 5 (138 enodes) 27.829 * * [simplify]: iters left: 4 (379 enodes) 28.047 * * [simplify]: Extracting #0: cost 1 inf + 0 28.047 * * [simplify]: Extracting #1: cost 3 inf + 0 28.047 * * [simplify]: Extracting #2: cost 26 inf + 0 28.048 * * [simplify]: Extracting #3: cost 263 inf + 0 28.051 * * [simplify]: Extracting #4: cost 542 inf + 744 28.058 * * [simplify]: Extracting #5: cost 523 inf + 11348 28.075 * * [simplify]: Extracting #6: cost 277 inf + 82625 28.130 * * [simplify]: Extracting #7: cost 35 inf + 177247 28.175 * * [simplify]: Extracting #8: cost 3 inf + 190758 28.227 * * [simplify]: Extracting #9: cost 0 inf + 192833 28.271 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) 28.271 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 28.271 * * * * [progress]: [ 62 / 151 ] simplifiying candidate # 28.271 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 28.272 * * [simplify]: iters left: 6 (35 enodes) 28.282 * * [simplify]: iters left: 5 (166 enodes) 28.349 * * [simplify]: iters left: 4 (443 enodes) 28.676 * * [simplify]: Extracting #0: cost 1 inf + 0 28.676 * * [simplify]: Extracting #1: cost 3 inf + 0 28.676 * * [simplify]: Extracting #2: cost 24 inf + 0 28.677 * * [simplify]: Extracting #3: cost 288 inf + 0 28.679 * * [simplify]: Extracting #4: cost 592 inf + 538 28.683 * * [simplify]: Extracting #5: cost 639 inf + 13930 28.732 * * [simplify]: Extracting #6: cost 310 inf + 118827 28.805 * * [simplify]: Extracting #7: cost 64 inf + 239299 28.906 * * [simplify]: Extracting #8: cost 1 inf + 269332 28.998 * * [simplify]: Extracting #9: cost 0 inf + 270477 29.070 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 29.070 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 29.071 * * * * [progress]: [ 63 / 151 ] simplifiying candidate # 29.071 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 29.071 * * [simplify]: iters left: 6 (30 enodes) 29.080 * * [simplify]: iters left: 5 (138 enodes) 29.130 * * [simplify]: iters left: 4 (370 enodes) 29.388 * * [simplify]: Extracting #0: cost 1 inf + 0 29.388 * * [simplify]: Extracting #1: cost 3 inf + 0 29.388 * * [simplify]: Extracting #2: cost 19 inf + 0 29.388 * * [simplify]: Extracting #3: cost 238 inf + 0 29.390 * * [simplify]: Extracting #4: cost 447 inf + 829 29.393 * * [simplify]: Extracting #5: cost 490 inf + 12845 29.420 * * [simplify]: Extracting #6: cost 214 inf + 89374 29.480 * * [simplify]: Extracting #7: cost 16 inf + 176117 29.547 * * [simplify]: Extracting #8: cost 0 inf + 182129 29.626 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) 29.626 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 29.627 * * * * [progress]: [ 64 / 151 ] simplifiying candidate # 29.627 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 29.627 * * [simplify]: iters left: 6 (35 enodes) 29.647 * * [simplify]: iters left: 5 (166 enodes) 29.719 * * [simplify]: iters left: 4 (443 enodes) 30.037 * * [simplify]: Extracting #0: cost 1 inf + 0 30.037 * * [simplify]: Extracting #1: cost 3 inf + 0 30.037 * * [simplify]: Extracting #2: cost 24 inf + 0 30.038 * * [simplify]: Extracting #3: cost 272 inf + 0 30.041 * * [simplify]: Extracting #4: cost 549 inf + 867 30.055 * * [simplify]: Extracting #5: cost 641 inf + 11430 30.089 * * [simplify]: Extracting #6: cost 372 inf + 90223 30.134 * * [simplify]: Extracting #7: cost 124 inf + 199824 30.207 * * [simplify]: Extracting #8: cost 11 inf + 263431 30.288 * * [simplify]: Extracting #9: cost 0 inf + 269187 30.377 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 30.377 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 30.378 * * * * [progress]: [ 65 / 151 ] simplifiying candidate # 30.378 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 30.378 * * [simplify]: iters left: 6 (30 enodes) 30.394 * * [simplify]: iters left: 5 (138 enodes) 30.448 * * [simplify]: iters left: 4 (370 enodes) 30.687 * * [simplify]: Extracting #0: cost 1 inf + 0 30.687 * * [simplify]: Extracting #1: cost 3 inf + 0 30.687 * * [simplify]: Extracting #2: cost 19 inf + 0 30.688 * * [simplify]: Extracting #3: cost 235 inf + 0 30.689 * * [simplify]: Extracting #4: cost 448 inf + 746 30.694 * * [simplify]: Extracting #5: cost 454 inf + 19933 30.719 * * [simplify]: Extracting #6: cost 207 inf + 92031 30.787 * * [simplify]: Extracting #7: cost 15 inf + 175768 30.834 * * [simplify]: Extracting #8: cost 0 inf + 181793 30.878 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) 30.878 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 30.878 * * * * [progress]: [ 66 / 151 ] simplifiying candidate # 30.879 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 30.879 * * [simplify]: iters left: 6 (31 enodes) 30.888 * * [simplify]: iters left: 5 (140 enodes) 30.922 * * [simplify]: iters left: 4 (410 enodes) 31.299 * * [simplify]: Extracting #0: cost 1 inf + 0 31.299 * * [simplify]: Extracting #1: cost 3 inf + 0 31.299 * * [simplify]: Extracting #2: cost 26 inf + 0 31.300 * * [simplify]: Extracting #3: cost 299 inf + 0 31.302 * * [simplify]: Extracting #4: cost 756 inf + 539 31.308 * * [simplify]: Extracting #5: cost 698 inf + 23106 31.334 * * [simplify]: Extracting #6: cost 493 inf + 77057 31.382 * * [simplify]: Extracting #7: cost 344 inf + 130024 31.497 * * [simplify]: Extracting #8: cost 24 inf + 274385 31.587 * * [simplify]: Extracting #9: cost 0 inf + 286865 31.711 * * [simplify]: Extracting #10: cost 0 inf + 286785 31.799 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) 31.799 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 31.799 * * * * [progress]: [ 67 / 151 ] simplifiying candidate # 31.800 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 31.800 * * [simplify]: iters left: 6 (32 enodes) 31.816 * * [simplify]: iters left: 5 (149 enodes) 31.863 * * [simplify]: iters left: 4 (443 enodes) 32.191 * * [simplify]: Extracting #0: cost 1 inf + 0 32.191 * * [simplify]: Extracting #1: cost 3 inf + 0 32.191 * * [simplify]: Extracting #2: cost 22 inf + 0 32.192 * * [simplify]: Extracting #3: cost 297 inf + 0 32.194 * * [simplify]: Extracting #4: cost 725 inf + 212 32.199 * * [simplify]: Extracting #5: cost 795 inf + 13274 32.213 * * [simplify]: Extracting #6: cost 557 inf + 69713 32.254 * * [simplify]: Extracting #7: cost 327 inf + 152698 32.325 * * [simplify]: Extracting #8: cost 14 inf + 288764 32.396 * * [simplify]: Extracting #9: cost 0 inf + 291874 32.516 * * [simplify]: Extracting #10: cost 0 inf + 291834 32.613 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 32.613 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 32.614 * * * * [progress]: [ 68 / 151 ] simplifiying candidate # 32.614 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 32.615 * * [simplify]: iters left: 6 (32 enodes) 32.632 * * [simplify]: iters left: 5 (149 enodes) 32.674 * * [simplify]: iters left: 4 (441 enodes) 33.317 * * [simplify]: Extracting #0: cost 1 inf + 0 33.317 * * [simplify]: Extracting #1: cost 3 inf + 0 33.317 * * [simplify]: Extracting #2: cost 26 inf + 0 33.319 * * [simplify]: Extracting #3: cost 341 inf + 0 33.324 * * [simplify]: Extracting #4: cost 752 inf + 1605 33.338 * * [simplify]: Extracting #5: cost 680 inf + 34391 33.361 * * [simplify]: Extracting #6: cost 486 inf + 81708 33.389 * * [simplify]: Extracting #7: cost 311 inf + 143836 33.489 * * [simplify]: Extracting #8: cost 42 inf + 255591 33.589 * * [simplify]: Extracting #9: cost 0 inf + 272961 33.657 * * [simplify]: Extracting #10: cost 0 inf + 272921 33.732 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) 33.732 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 33.732 * * * * [progress]: [ 69 / 151 ] simplifiying candidate # 33.733 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 33.733 * * [simplify]: iters left: 6 (25 enodes) 33.746 * * [simplify]: iters left: 5 (108 enodes) 33.771 * * [simplify]: iters left: 4 (312 enodes) 33.993 * * [simplify]: Extracting #0: cost 1 inf + 0 33.993 * * [simplify]: Extracting #1: cost 3 inf + 0 33.993 * * [simplify]: Extracting #2: cost 22 inf + 0 33.994 * * [simplify]: Extracting #3: cost 228 inf + 0 33.997 * * [simplify]: Extracting #4: cost 515 inf + 1477 34.006 * * [simplify]: Extracting #5: cost 424 inf + 21595 34.029 * * [simplify]: Extracting #6: cost 189 inf + 83464 34.074 * * [simplify]: Extracting #7: cost 3 inf + 149990 34.117 * * [simplify]: Extracting #8: cost 0 inf + 149585 34.158 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 34.158 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 34.159 * * * * [progress]: [ 70 / 151 ] simplifiying candidate # 34.159 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 34.159 * * [simplify]: iters left: 6 (31 enodes) 34.176 * * [simplify]: iters left: 5 (141 enodes) 34.234 * * [simplify]: iters left: 4 (384 enodes) 34.523 * * [simplify]: Extracting #0: cost 1 inf + 0 34.523 * * [simplify]: Extracting #1: cost 3 inf + 0 34.523 * * [simplify]: Extracting #2: cost 22 inf + 0 34.524 * * [simplify]: Extracting #3: cost 276 inf + 0 34.526 * * [simplify]: Extracting #4: cost 582 inf + 910 34.531 * * [simplify]: Extracting #5: cost 558 inf + 19642 34.551 * * [simplify]: Extracting #6: cost 271 inf + 106372 34.631 * * [simplify]: Extracting #7: cost 9 inf + 209299 34.715 * * [simplify]: Extracting #8: cost 0 inf + 213578 34.785 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 34.785 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 34.786 * * * * [progress]: [ 71 / 151 ] simplifiying candidate # 34.787 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 34.787 * * [simplify]: iters left: 6 (25 enodes) 34.803 * * [simplify]: iters left: 5 (108 enodes) 34.845 * * [simplify]: iters left: 4 (303 enodes) 35.026 * * [simplify]: Extracting #0: cost 1 inf + 0 35.026 * * [simplify]: Extracting #1: cost 3 inf + 0 35.026 * * [simplify]: Extracting #2: cost 16 inf + 0 35.027 * * [simplify]: Extracting #3: cost 213 inf + 0 35.028 * * [simplify]: Extracting #4: cost 424 inf + 1159 35.032 * * [simplify]: Extracting #5: cost 381 inf + 16791 35.044 * * [simplify]: Extracting #6: cost 283 inf + 31892 35.067 * * [simplify]: Extracting #7: cost 175 inf + 67299 35.096 * * [simplify]: Extracting #8: cost 5 inf + 128635 35.126 * * [simplify]: Extracting #9: cost 0 inf + 130200 35.180 * * [simplify]: Extracting #10: cost 0 inf + 130160 35.215 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 35.215 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 35.215 * * * * [progress]: [ 72 / 151 ] simplifiying candidate # 35.215 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 35.216 * * [simplify]: iters left: 6 (31 enodes) 35.234 * * [simplify]: iters left: 5 (141 enodes) 35.288 * * [simplify]: iters left: 4 (384 enodes) 35.497 * * [simplify]: Extracting #0: cost 1 inf + 0 35.497 * * [simplify]: Extracting #1: cost 3 inf + 0 35.497 * * [simplify]: Extracting #2: cost 22 inf + 0 35.498 * * [simplify]: Extracting #3: cost 260 inf + 0 35.501 * * [simplify]: Extracting #4: cost 549 inf + 500 35.517 * * [simplify]: Extracting #5: cost 568 inf + 16697 35.553 * * [simplify]: Extracting #6: cost 312 inf + 92055 35.631 * * [simplify]: Extracting #7: cost 21 inf + 206085 35.706 * * [simplify]: Extracting #8: cost 0 inf + 213074 35.779 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) 35.779 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 35.780 * * * * [progress]: [ 73 / 151 ] simplifiying candidate # 35.780 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 35.780 * * [simplify]: iters left: 6 (25 enodes) 35.791 * * [simplify]: iters left: 5 (108 enodes) 35.815 * * [simplify]: iters left: 4 (303 enodes) 36.016 * * [simplify]: Extracting #0: cost 1 inf + 0 36.016 * * [simplify]: Extracting #1: cost 3 inf + 0 36.016 * * [simplify]: Extracting #2: cost 16 inf + 0 36.017 * * [simplify]: Extracting #3: cost 209 inf + 0 36.019 * * [simplify]: Extracting #4: cost 428 inf + 502 36.027 * * [simplify]: Extracting #5: cost 395 inf + 14799 36.050 * * [simplify]: Extracting #6: cost 181 inf + 66662 36.081 * * [simplify]: Extracting #7: cost 8 inf + 127318 36.118 * * [simplify]: Extracting #8: cost 0 inf + 130238 36.165 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 36.165 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 36.166 * * * * [progress]: [ 74 / 151 ] simplifiying candidate # 36.166 * [simplify]: Simplifying (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) 36.166 * * [simplify]: iters left: 6 (18 enodes) 36.179 * * [simplify]: iters left: 5 (84 enodes) 36.217 * * [simplify]: iters left: 4 (228 enodes) 36.376 * * [simplify]: Extracting #0: cost 1 inf + 0 36.376 * * [simplify]: Extracting #1: cost 3 inf + 0 36.376 * * [simplify]: Extracting #2: cost 6 inf + 0 36.376 * * [simplify]: Extracting #3: cost 73 inf + 0 36.377 * * [simplify]: Extracting #4: cost 265 inf + 2 36.380 * * [simplify]: Extracting #5: cost 286 inf + 1801 36.390 * * [simplify]: Extracting #6: cost 166 inf + 30220 36.429 * * [simplify]: Extracting #7: cost 30 inf + 75336 36.462 * * [simplify]: Extracting #8: cost 0 inf + 85497 36.485 * * [simplify]: Extracting #9: cost 0 inf + 85166 36.524 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 36.524 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) 36.525 * * * * [progress]: [ 75 / 151 ] simplifiying candidate # 36.525 * [simplify]: Simplifying (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 36.526 * * [simplify]: iters left: 6 (17 enodes) 36.534 * * [simplify]: iters left: 5 (77 enodes) 36.553 * * [simplify]: iters left: 4 (210 enodes) 36.684 * * [simplify]: Extracting #0: cost 1 inf + 0 36.684 * * [simplify]: Extracting #1: cost 3 inf + 0 36.684 * * [simplify]: Extracting #2: cost 25 inf + 0 36.684 * * [simplify]: Extracting #3: cost 107 inf + 0 36.685 * * [simplify]: Extracting #4: cost 254 inf + 44 36.686 * * [simplify]: Extracting #5: cost 259 inf + 2051 36.690 * * [simplify]: Extracting #6: cost 192 inf + 11834 36.702 * * [simplify]: Extracting #7: cost 126 inf + 29261 36.719 * * [simplify]: Extracting #8: cost 21 inf + 64729 36.737 * * [simplify]: Extracting #9: cost 0 inf + 72252 36.773 * [simplify]: Simplified to (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 36.773 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) 36.773 * * * * [progress]: [ 76 / 151 ] simplifiying candidate # 36.774 * [simplify]: Simplifying (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) 36.774 * * [simplify]: iters left: 6 (14 enodes) 36.781 * * [simplify]: iters left: 5 (56 enodes) 36.793 * * [simplify]: iters left: 4 (105 enodes) 36.821 * * [simplify]: iters left: 3 (306 enodes) 36.965 * * [simplify]: Extracting #0: cost 1 inf + 0 36.965 * * [simplify]: Extracting #1: cost 18 inf + 0 36.966 * * [simplify]: Extracting #2: cost 146 inf + 0 36.967 * * [simplify]: Extracting #3: cost 200 inf + 248 36.970 * * [simplify]: Extracting #4: cost 198 inf + 2293 36.976 * * [simplify]: Extracting #5: cost 128 inf + 16154 36.996 * * [simplify]: Extracting #6: cost 17 inf + 49935 37.022 * * [simplify]: Extracting #7: cost 0 inf + 55678 37.044 * [simplify]: Simplified to (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 37.044 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (/ 1 2)))) 37.044 * * * * [progress]: [ 77 / 151 ] simplifiying candidate # 37.044 * * * * [progress]: [ 78 / 151 ] simplifiying candidate # 37.044 * [simplify]: Simplifying (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) 37.044 * * [simplify]: iters left: 6 (15 enodes) 37.048 * * [simplify]: iters left: 5 (59 enodes) 37.062 * * [simplify]: iters left: 4 (108 enodes) 37.107 * * [simplify]: iters left: 3 (309 enodes) 37.308 * * [simplify]: Extracting #0: cost 1 inf + 0 37.308 * * [simplify]: Extracting #1: cost 3 inf + 0 37.308 * * [simplify]: Extracting #2: cost 20 inf + 0 37.309 * * [simplify]: Extracting #3: cost 141 inf + 0 37.310 * * [simplify]: Extracting #4: cost 198 inf + 209 37.312 * * [simplify]: Extracting #5: cost 202 inf + 1887 37.318 * * [simplify]: Extracting #6: cost 136 inf + 13902 37.337 * * [simplify]: Extracting #7: cost 10 inf + 53057 37.362 * * [simplify]: Extracting #8: cost 0 inf + 56025 37.378 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 37.378 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (fabs (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 37.378 * * * * [progress]: [ 79 / 151 ] simplifiying candidate # 37.378 * * * * [progress]: [ 80 / 151 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))> 37.379 * * * * [progress]: [ 81 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 82 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 83 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 84 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 85 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 86 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 87 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 88 / 151 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 37.379 * * * * [progress]: [ 89 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 90 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 91 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 92 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 93 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 94 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 95 / 151 ] simplifiying candidate # 37.379 * * * * [progress]: [ 96 / 151 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))> 37.379 * * * * [progress]: [ 97 / 151 ] simplifiying candidate # 37.379 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.379 * * [simplify]: iters left: 6 (10 enodes) 37.382 * * [simplify]: iters left: 5 (34 enodes) 37.388 * * [simplify]: iters left: 4 (43 enodes) 37.396 * * [simplify]: iters left: 3 (57 enodes) 37.414 * * [simplify]: iters left: 2 (66 enodes) 37.431 * * [simplify]: iters left: 1 (68 enodes) 37.447 * * [simplify]: Extracting #0: cost 1 inf + 0 37.447 * * [simplify]: Extracting #1: cost 7 inf + 0 37.447 * * [simplify]: Extracting #2: cost 17 inf + 0 37.447 * * [simplify]: Extracting #3: cost 20 inf + 2 37.448 * * [simplify]: Extracting #4: cost 18 inf + 169 37.448 * * [simplify]: Extracting #5: cost 15 inf + 213 37.448 * * [simplify]: Extracting #6: cost 9 inf + 1014 37.449 * * [simplify]: Extracting #7: cost 3 inf + 2116 37.450 * * [simplify]: Extracting #8: cost 0 inf + 2707 37.451 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.451 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 37.452 * [simplify]: Simplifying (+ 1 1) 37.452 * * [simplify]: iters left: 2 (2 enodes) 37.454 * * [simplify]: iters left: 1 (9 enodes) 37.457 * * [simplify]: Extracting #0: cost 1 inf + 0 37.457 * * [simplify]: Extracting #1: cost 0 inf + 1 37.457 * [simplify]: Simplified to 2 37.457 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 37.458 * * * * [progress]: [ 98 / 151 ] simplifiying candidate # 37.458 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.458 * * [simplify]: iters left: 6 (10 enodes) 37.463 * * [simplify]: iters left: 5 (34 enodes) 37.473 * * [simplify]: iters left: 4 (43 enodes) 37.487 * * [simplify]: iters left: 3 (57 enodes) 37.498 * * [simplify]: iters left: 2 (66 enodes) 37.508 * * [simplify]: iters left: 1 (68 enodes) 37.516 * * [simplify]: Extracting #0: cost 1 inf + 0 37.516 * * [simplify]: Extracting #1: cost 7 inf + 0 37.516 * * [simplify]: Extracting #2: cost 17 inf + 0 37.516 * * [simplify]: Extracting #3: cost 20 inf + 2 37.516 * * [simplify]: Extracting #4: cost 18 inf + 169 37.517 * * [simplify]: Extracting #5: cost 15 inf + 213 37.517 * * [simplify]: Extracting #6: cost 9 inf + 1014 37.517 * * [simplify]: Extracting #7: cost 3 inf + 2116 37.518 * * [simplify]: Extracting #8: cost 0 inf + 2707 37.518 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.518 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 37.518 * [simplify]: Simplifying (+ 1 1) 37.519 * * [simplify]: iters left: 2 (2 enodes) 37.520 * * [simplify]: iters left: 1 (9 enodes) 37.523 * * [simplify]: Extracting #0: cost 1 inf + 0 37.523 * * [simplify]: Extracting #1: cost 0 inf + 1 37.523 * [simplify]: Simplified to 2 37.523 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 37.523 * * * * [progress]: [ 99 / 151 ] simplifiying candidate # 37.523 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.524 * * [simplify]: iters left: 6 (10 enodes) 37.528 * * [simplify]: iters left: 5 (34 enodes) 37.539 * * [simplify]: iters left: 4 (43 enodes) 37.555 * * [simplify]: iters left: 3 (57 enodes) 37.571 * * [simplify]: iters left: 2 (66 enodes) 37.590 * * [simplify]: iters left: 1 (68 enodes) 37.607 * * [simplify]: Extracting #0: cost 1 inf + 0 37.607 * * [simplify]: Extracting #1: cost 7 inf + 0 37.607 * * [simplify]: Extracting #2: cost 17 inf + 0 37.607 * * [simplify]: Extracting #3: cost 20 inf + 2 37.607 * * [simplify]: Extracting #4: cost 18 inf + 169 37.608 * * [simplify]: Extracting #5: cost 15 inf + 213 37.608 * * [simplify]: Extracting #6: cost 9 inf + 1014 37.609 * * [simplify]: Extracting #7: cost 3 inf + 2116 37.610 * * [simplify]: Extracting #8: cost 0 inf + 2707 37.611 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.612 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 37.612 * [simplify]: Simplifying (+ 1 1) 37.612 * * [simplify]: iters left: 2 (2 enodes) 37.615 * * [simplify]: iters left: 1 (9 enodes) 37.618 * * [simplify]: Extracting #0: cost 1 inf + 0 37.618 * * [simplify]: Extracting #1: cost 0 inf + 1 37.618 * [simplify]: Simplified to 2 37.618 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 37.618 * * * * [progress]: [ 100 / 151 ] simplifiying candidate # 37.618 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.619 * * [simplify]: iters left: 6 (10 enodes) 37.624 * * [simplify]: iters left: 5 (34 enodes) 37.633 * * [simplify]: iters left: 4 (43 enodes) 37.641 * * [simplify]: iters left: 3 (57 enodes) 37.649 * * [simplify]: iters left: 2 (66 enodes) 37.658 * * [simplify]: iters left: 1 (68 enodes) 37.672 * * [simplify]: Extracting #0: cost 1 inf + 0 37.673 * * [simplify]: Extracting #1: cost 7 inf + 0 37.673 * * [simplify]: Extracting #2: cost 17 inf + 0 37.673 * * [simplify]: Extracting #3: cost 20 inf + 2 37.673 * * [simplify]: Extracting #4: cost 18 inf + 169 37.673 * * [simplify]: Extracting #5: cost 15 inf + 213 37.674 * * [simplify]: Extracting #6: cost 9 inf + 1014 37.674 * * [simplify]: Extracting #7: cost 3 inf + 2116 37.676 * * [simplify]: Extracting #8: cost 0 inf + 2707 37.677 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 37.677 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 37.677 * [simplify]: Simplifying (+ 1 1) 37.677 * * [simplify]: iters left: 2 (2 enodes) 37.679 * * [simplify]: iters left: 1 (9 enodes) 37.684 * * [simplify]: Extracting #0: cost 1 inf + 0 37.684 * * [simplify]: Extracting #1: cost 0 inf + 1 37.684 * [simplify]: Simplified to 2 37.684 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 37.684 * * * * [progress]: [ 101 / 151 ] simplifiying candidate # 37.685 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 37.685 * * [simplify]: iters left: 6 (11 enodes) 37.690 * * [simplify]: iters left: 5 (44 enodes) 37.706 * * [simplify]: iters left: 4 (84 enodes) 37.746 * * [simplify]: iters left: 3 (250 enodes) 37.879 * * [simplify]: Extracting #0: cost 1 inf + 0 37.880 * * [simplify]: Extracting #1: cost 27 inf + 0 37.880 * * [simplify]: Extracting #2: cost 118 inf + 0 37.880 * * [simplify]: Extracting #3: cost 159 inf + 250 37.881 * * [simplify]: Extracting #4: cost 135 inf + 3217 37.883 * * [simplify]: Extracting #5: cost 124 inf + 4659 37.889 * * [simplify]: Extracting #6: cost 47 inf + 25183 37.898 * * [simplify]: Extracting #7: cost 0 inf + 39064 37.912 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 37.912 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 37.912 * * * * [progress]: [ 102 / 151 ] simplifiying candidate # 37.913 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 37.913 * * [simplify]: iters left: 6 (11 enodes) 37.919 * * [simplify]: iters left: 5 (44 enodes) 37.934 * * [simplify]: iters left: 4 (84 enodes) 37.969 * * [simplify]: iters left: 3 (250 enodes) 38.092 * * [simplify]: Extracting #0: cost 1 inf + 0 38.092 * * [simplify]: Extracting #1: cost 27 inf + 0 38.092 * * [simplify]: Extracting #2: cost 118 inf + 0 38.093 * * [simplify]: Extracting #3: cost 159 inf + 250 38.095 * * [simplify]: Extracting #4: cost 135 inf + 3217 38.098 * * [simplify]: Extracting #5: cost 124 inf + 4659 38.106 * * [simplify]: Extracting #6: cost 47 inf + 25183 38.115 * * [simplify]: Extracting #7: cost 0 inf + 39064 38.124 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.124 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 38.124 * * * * [progress]: [ 103 / 151 ] simplifiying candidate # 38.125 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.125 * * [simplify]: iters left: 6 (11 enodes) 38.127 * * [simplify]: iters left: 5 (44 enodes) 38.135 * * [simplify]: iters left: 4 (84 enodes) 38.174 * * [simplify]: iters left: 3 (250 enodes) 38.285 * * [simplify]: Extracting #0: cost 1 inf + 0 38.285 * * [simplify]: Extracting #1: cost 27 inf + 0 38.285 * * [simplify]: Extracting #2: cost 118 inf + 0 38.286 * * [simplify]: Extracting #3: cost 159 inf + 250 38.288 * * [simplify]: Extracting #4: cost 135 inf + 3217 38.291 * * [simplify]: Extracting #5: cost 124 inf + 4659 38.299 * * [simplify]: Extracting #6: cost 47 inf + 25183 38.308 * * [simplify]: Extracting #7: cost 0 inf + 39064 38.317 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.317 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 38.317 * * * * [progress]: [ 104 / 151 ] simplifiying candidate # 38.317 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.317 * * [simplify]: iters left: 6 (11 enodes) 38.320 * * [simplify]: iters left: 5 (44 enodes) 38.329 * * [simplify]: iters left: 4 (84 enodes) 38.372 * * [simplify]: iters left: 3 (250 enodes) 38.478 * * [simplify]: Extracting #0: cost 1 inf + 0 38.478 * * [simplify]: Extracting #1: cost 27 inf + 0 38.479 * * [simplify]: Extracting #2: cost 118 inf + 0 38.479 * * [simplify]: Extracting #3: cost 159 inf + 250 38.480 * * [simplify]: Extracting #4: cost 135 inf + 3217 38.482 * * [simplify]: Extracting #5: cost 124 inf + 4659 38.486 * * [simplify]: Extracting #6: cost 47 inf + 25183 38.494 * * [simplify]: Extracting #7: cost 0 inf + 39064 38.503 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 38.503 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 38.503 * * * * [progress]: [ 105 / 151 ] simplifiying candidate # 38.503 * * * * [progress]: [ 106 / 151 ] simplifiying candidate # 38.503 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 38.503 * * [simplify]: iters left: 6 (10 enodes) 38.508 * * [simplify]: iters left: 5 (34 enodes) 38.518 * * [simplify]: iters left: 4 (43 enodes) 38.535 * * [simplify]: iters left: 3 (57 enodes) 38.543 * * [simplify]: iters left: 2 (66 enodes) 38.553 * * [simplify]: iters left: 1 (68 enodes) 38.562 * * [simplify]: Extracting #0: cost 1 inf + 0 38.562 * * [simplify]: Extracting #1: cost 7 inf + 0 38.562 * * [simplify]: Extracting #2: cost 17 inf + 0 38.563 * * [simplify]: Extracting #3: cost 20 inf + 2 38.563 * * [simplify]: Extracting #4: cost 18 inf + 169 38.563 * * [simplify]: Extracting #5: cost 15 inf + 213 38.563 * * [simplify]: Extracting #6: cost 9 inf + 1014 38.563 * * [simplify]: Extracting #7: cost 3 inf + 2116 38.564 * * [simplify]: Extracting #8: cost 0 inf + 2707 38.565 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 38.565 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 38.565 * * * * [progress]: [ 107 / 151 ] simplifiying candidate # 38.565 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 38.565 * * [simplify]: iters left: 6 (10 enodes) 38.570 * * [simplify]: iters left: 5 (34 enodes) 38.579 * * [simplify]: iters left: 4 (43 enodes) 38.592 * * [simplify]: iters left: 3 (57 enodes) 38.608 * * [simplify]: iters left: 2 (66 enodes) 38.625 * * [simplify]: iters left: 1 (68 enodes) 38.643 * * [simplify]: Extracting #0: cost 1 inf + 0 38.643 * * [simplify]: Extracting #1: cost 7 inf + 0 38.644 * * [simplify]: Extracting #2: cost 17 inf + 0 38.644 * * [simplify]: Extracting #3: cost 20 inf + 2 38.644 * * [simplify]: Extracting #4: cost 18 inf + 169 38.644 * * [simplify]: Extracting #5: cost 15 inf + 213 38.645 * * [simplify]: Extracting #6: cost 9 inf + 1014 38.645 * * [simplify]: Extracting #7: cost 3 inf + 2116 38.647 * * [simplify]: Extracting #8: cost 0 inf + 2707 38.648 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 38.648 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 38.648 * * * * [progress]: [ 108 / 151 ] simplifiying candidate # 38.648 * * * * [progress]: [ 109 / 151 ] simplifiying candidate # 38.648 * [simplify]: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2))))) 38.649 * * [simplify]: iters left: 6 (13 enodes) 38.655 * * [simplify]: iters left: 5 (47 enodes) 38.671 * * [simplify]: iters left: 4 (62 enodes) 38.689 * * [simplify]: iters left: 3 (70 enodes) 38.709 * * [simplify]: iters left: 2 (71 enodes) 38.719 * * [simplify]: Extracting #0: cost 1 inf + 0 38.719 * * [simplify]: Extracting #1: cost 9 inf + 0 38.719 * * [simplify]: Extracting #2: cost 18 inf + 0 38.720 * * [simplify]: Extracting #3: cost 24 inf + 0 38.720 * * [simplify]: Extracting #4: cost 26 inf + 2 38.720 * * [simplify]: Extracting #5: cost 24 inf + 240 38.720 * * [simplify]: Extracting #6: cost 18 inf + 699 38.720 * * [simplify]: Extracting #7: cost 13 inf + 1092 38.721 * * [simplify]: Extracting #8: cost 3 inf + 4304 38.722 * * [simplify]: Extracting #9: cost 0 inf + 5327 38.723 * [simplify]: Simplified to (+ (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2)))) 38.723 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 38.723 * * * * [progress]: [ 110 / 151 ] simplifiying candidate # 38.723 * [simplify]: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 38.723 * * [simplify]: iters left: 6 (15 enodes) 38.727 * * [simplify]: iters left: 5 (51 enodes) 38.737 * * [simplify]: iters left: 4 (70 enodes) 38.759 * * [simplify]: iters left: 3 (93 enodes) 38.779 * * [simplify]: iters left: 2 (106 enodes) 38.794 * * [simplify]: iters left: 1 (108 enodes) 38.813 * * [simplify]: Extracting #0: cost 1 inf + 0 38.813 * * [simplify]: Extracting #1: cost 9 inf + 0 38.813 * * [simplify]: Extracting #2: cost 19 inf + 0 38.813 * * [simplify]: Extracting #3: cost 29 inf + 0 38.813 * * [simplify]: Extracting #4: cost 35 inf + 2 38.814 * * [simplify]: Extracting #5: cost 32 inf + 504 38.814 * * [simplify]: Extracting #6: cost 28 inf + 699 38.814 * * [simplify]: Extracting #7: cost 23 inf + 1092 38.816 * * [simplify]: Extracting #8: cost 5 inf + 5975 38.819 * * [simplify]: Extracting #9: cost 0 inf + 7047 38.821 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) 38.822 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 38.822 * * * * [progress]: [ 111 / 151 ] simplifiying candidate # 38.822 * [simplify]: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2))))) 38.822 * * [simplify]: iters left: 6 (15 enodes) 38.829 * * [simplify]: iters left: 5 (51 enodes) 38.846 * * [simplify]: iters left: 4 (70 enodes) 38.873 * * [simplify]: iters left: 3 (94 enodes) 38.898 * * [simplify]: iters left: 2 (106 enodes) 38.921 * * [simplify]: iters left: 1 (108 enodes) 38.936 * * [simplify]: Extracting #0: cost 1 inf + 0 38.936 * * [simplify]: Extracting #1: cost 9 inf + 0 38.936 * * [simplify]: Extracting #2: cost 19 inf + 0 38.936 * * [simplify]: Extracting #3: cost 29 inf + 0 38.936 * * [simplify]: Extracting #4: cost 35 inf + 2 38.936 * * [simplify]: Extracting #5: cost 32 inf + 504 38.937 * * [simplify]: Extracting #6: cost 27 inf + 741 38.937 * * [simplify]: Extracting #7: cost 16 inf + 2506 38.938 * * [simplify]: Extracting #8: cost 4 inf + 6159 38.939 * * [simplify]: Extracting #9: cost 0 inf + 7047 38.941 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 38.941 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 38.941 * * * * [progress]: [ 112 / 151 ] simplifiying candidate # 38.941 * [simplify]: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 38.941 * * [simplify]: iters left: 6 (12 enodes) 38.944 * * [simplify]: iters left: 5 (43 enodes) 38.951 * * [simplify]: iters left: 4 (61 enodes) 38.963 * * [simplify]: iters left: 3 (87 enodes) 38.987 * * [simplify]: iters left: 2 (104 enodes) 39.013 * * [simplify]: iters left: 1 (107 enodes) 39.040 * * [simplify]: Extracting #0: cost 1 inf + 0 39.040 * * [simplify]: Extracting #1: cost 9 inf + 0 39.040 * * [simplify]: Extracting #2: cost 19 inf + 0 39.040 * * [simplify]: Extracting #3: cost 29 inf + 0 39.040 * * [simplify]: Extracting #4: cost 35 inf + 2 39.040 * * [simplify]: Extracting #5: cost 34 inf + 239 39.041 * * [simplify]: Extracting #6: cost 28 inf + 589 39.041 * * [simplify]: Extracting #7: cost 19 inf + 1898 39.043 * * [simplify]: Extracting #8: cost 2 inf + 6307 39.046 * * [simplify]: Extracting #9: cost 0 inf + 7047 39.049 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 39.049 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 39.049 * * * * [progress]: [ 113 / 151 ] simplifiying candidate # 39.049 * * * * [progress]: [ 114 / 151 ] simplifiying candidate # 39.049 * * * * [progress]: [ 115 / 151 ] simplifiying candidate # 39.049 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) 39.050 * * [simplify]: iters left: 6 (15 enodes) 39.059 * * [simplify]: iters left: 5 (62 enodes) 39.077 * * [simplify]: iters left: 4 (179 enodes) 39.200 * * [simplify]: Extracting #0: cost 1 inf + 0 39.201 * * [simplify]: Extracting #1: cost 48 inf + 0 39.201 * * [simplify]: Extracting #2: cost 228 inf + 0 39.202 * * [simplify]: Extracting #3: cost 234 inf + 2399 39.205 * * [simplify]: Extracting #4: cost 200 inf + 7307 39.211 * * [simplify]: Extracting #5: cost 134 inf + 26490 39.247 * * [simplify]: Extracting #6: cost 12 inf + 74024 39.292 * * [simplify]: Extracting #7: cost 0 inf + 77284 39.323 * * [simplify]: Extracting #8: cost 0 inf + 75804 39.352 * * [simplify]: Extracting #9: cost 0 inf + 75444 39.395 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 39.395 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 39.395 * * * * [progress]: [ 116 / 151 ] simplifiying candidate # 39.396 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 39.396 * * [simplify]: iters left: 6 (18 enodes) 39.401 * * [simplify]: iters left: 5 (78 enodes) 39.420 * * [simplify]: iters left: 4 (221 enodes) 39.600 * * [simplify]: Extracting #0: cost 1 inf + 0 39.601 * * [simplify]: Extracting #1: cost 62 inf + 0 39.601 * * [simplify]: Extracting #2: cost 295 inf + 1 39.603 * * [simplify]: Extracting #3: cost 320 inf + 1026 39.605 * * [simplify]: Extracting #4: cost 308 inf + 4075 39.612 * * [simplify]: Extracting #5: cost 233 inf + 29260 39.642 * * [simplify]: Extracting #6: cost 22 inf + 107681 39.674 * * [simplify]: Extracting #7: cost 0 inf + 111191 39.728 * * [simplify]: Extracting #8: cost 0 inf + 110991 39.760 * [simplify]: Simplified to (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 39.760 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 39.761 * * * * [progress]: [ 117 / 151 ] simplifiying candidate # 39.761 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) 39.761 * * [simplify]: iters left: 6 (18 enodes) 39.772 * * [simplify]: iters left: 5 (78 enodes) 39.793 * * [simplify]: iters left: 4 (227 enodes) 39.979 * * [simplify]: Extracting #0: cost 1 inf + 0 39.979 * * [simplify]: Extracting #1: cost 62 inf + 0 39.981 * * [simplify]: Extracting #2: cost 305 inf + 1 39.984 * * [simplify]: Extracting #3: cost 339 inf + 1146 39.988 * * [simplify]: Extracting #4: cost 314 inf + 4357 39.992 * * [simplify]: Extracting #5: cost 309 inf + 4776 40.002 * * [simplify]: Extracting #6: cost 307 inf + 4901 40.014 * * [simplify]: Extracting #7: cost 243 inf + 26198 40.052 * * [simplify]: Extracting #8: cost 33 inf + 101383 40.102 * * [simplify]: Extracting #9: cost 0 inf + 113366 40.141 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 40.141 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 40.141 * * * * [progress]: [ 118 / 151 ] simplifiying candidate # 40.141 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 40.143 * * [simplify]: iters left: 6 (13 enodes) 40.151 * * [simplify]: iters left: 5 (59 enodes) 40.174 * * [simplify]: iters left: 4 (182 enodes) 40.318 * * [simplify]: Extracting #0: cost 1 inf + 0 40.318 * * [simplify]: Extracting #1: cost 44 inf + 0 40.319 * * [simplify]: Extracting #2: cost 209 inf + 2 40.321 * * [simplify]: Extracting #3: cost 245 inf + 910 40.322 * * [simplify]: Extracting #4: cost 224 inf + 3232 40.328 * * [simplify]: Extracting #5: cost 156 inf + 23601 40.349 * * [simplify]: Extracting #6: cost 7 inf + 74141 40.390 * * [simplify]: Extracting #7: cost 0 inf + 76796 40.415 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 40.415 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 40.415 * * * * [progress]: [ 119 / 151 ] simplifiying candidate # 40.415 * * * * [progress]: [ 120 / 151 ] simplifiying candidate # 40.415 * * * * [progress]: [ 121 / 151 ] simplifiying candidate # 40.415 * * * * [progress]: [ 122 / 151 ] simplifiying candidate # 40.416 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) 40.416 * * [simplify]: iters left: 6 (14 enodes) 40.424 * * [simplify]: iters left: 5 (65 enodes) 40.452 * * [simplify]: iters left: 4 (142 enodes) 40.512 * * [simplify]: Extracting #0: cost 1 inf + 0 40.512 * * [simplify]: Extracting #1: cost 27 inf + 0 40.513 * * [simplify]: Extracting #2: cost 67 inf + 0 40.513 * * [simplify]: Extracting #3: cost 174 inf + 0 40.515 * * [simplify]: Extracting #4: cost 172 inf + 2655 40.519 * * [simplify]: Extracting #5: cost 95 inf + 36352 40.533 * * [simplify]: Extracting #6: cost 11 inf + 68762 40.544 * * [simplify]: Extracting #7: cost 0 inf + 64036 40.557 * * [simplify]: Extracting #8: cost 0 inf + 63093 40.568 * [simplify]: Simplified to (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) 40.568 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 40.569 * [simplify]: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 40.569 * * [simplify]: iters left: 6 (8 enodes) 40.573 * * [simplify]: iters left: 5 (37 enodes) 40.588 * * [simplify]: iters left: 4 (104 enodes) 40.621 * * [simplify]: iters left: 3 (447 enodes) 40.926 * * [simplify]: Extracting #0: cost 1 inf + 0 40.926 * * [simplify]: Extracting #1: cost 54 inf + 0 40.928 * * [simplify]: Extracting #2: cost 256 inf + 0 40.933 * * [simplify]: Extracting #3: cost 218 inf + 12248 40.964 * * [simplify]: Extracting #4: cost 46 inf + 55225 41.003 * * [simplify]: Extracting #5: cost 1 inf + 68115 41.040 * * [simplify]: Extracting #6: cost 0 inf + 67997 41.072 * [simplify]: Simplified to (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) 41.072 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.072 * * * * [progress]: [ 123 / 151 ] simplifiying candidate # 41.073 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 41.073 * * [simplify]: iters left: 6 (18 enodes) 41.078 * * [simplify]: iters left: 5 (79 enodes) 41.095 * * [simplify]: iters left: 4 (170 enodes) 41.156 * * [simplify]: Extracting #0: cost 1 inf + 0 41.156 * * [simplify]: Extracting #1: cost 42 inf + 0 41.157 * * [simplify]: Extracting #2: cost 137 inf + 0 41.158 * * [simplify]: Extracting #3: cost 190 inf + 208 41.160 * * [simplify]: Extracting #4: cost 168 inf + 4633 41.165 * * [simplify]: Extracting #5: cost 107 inf + 22463 41.174 * * [simplify]: Extracting #6: cost 11 inf + 58811 41.185 * * [simplify]: Extracting #7: cost 0 inf + 63449 41.203 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) 41.203 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.204 * [simplify]: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) 41.204 * * [simplify]: iters left: 6 (9 enodes) 41.209 * * [simplify]: iters left: 5 (41 enodes) 41.222 * * [simplify]: iters left: 4 (101 enodes) 41.248 * * [simplify]: iters left: 3 (279 enodes) 41.346 * * [simplify]: Extracting #0: cost 1 inf + 0 41.346 * * [simplify]: Extracting #1: cost 29 inf + 0 41.346 * * [simplify]: Extracting #2: cost 116 inf + 0 41.347 * * [simplify]: Extracting #3: cost 114 inf + 414 41.349 * * [simplify]: Extracting #4: cost 73 inf + 5850 41.354 * * [simplify]: Extracting #5: cost 6 inf + 21554 41.360 * * [simplify]: Extracting #6: cost 0 inf + 23006 41.367 * [simplify]: Simplified to (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) 41.367 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.367 * * * * [progress]: [ 124 / 151 ] simplifiying candidate # 41.367 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) 41.367 * * [simplify]: iters left: 6 (18 enodes) 41.376 * * [simplify]: iters left: 5 (79 enodes) 41.401 * * [simplify]: iters left: 4 (170 enodes) 41.467 * * [simplify]: Extracting #0: cost 1 inf + 0 41.467 * * [simplify]: Extracting #1: cost 41 inf + 0 41.468 * * [simplify]: Extracting #2: cost 130 inf + 0 41.469 * * [simplify]: Extracting #3: cost 201 inf + 738 41.470 * * [simplify]: Extracting #4: cost 180 inf + 4064 41.474 * * [simplify]: Extracting #5: cost 110 inf + 27300 41.484 * * [simplify]: Extracting #6: cost 3 inf + 67769 41.506 * * [simplify]: Extracting #7: cost 0 inf + 68629 41.528 * [simplify]: Simplified to (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) 41.528 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.529 * [simplify]: Simplifying (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 41.529 * * [simplify]: iters left: 6 (9 enodes) 41.534 * * [simplify]: iters left: 5 (41 enodes) 41.549 * * [simplify]: iters left: 4 (99 enodes) 41.582 * * [simplify]: iters left: 3 (265 enodes) 41.679 * * [simplify]: Extracting #0: cost 1 inf + 0 41.679 * * [simplify]: Extracting #1: cost 32 inf + 0 41.679 * * [simplify]: Extracting #2: cost 82 inf + 0 41.679 * * [simplify]: Extracting #3: cost 87 inf + 3 41.681 * * [simplify]: Extracting #4: cost 44 inf + 5974 41.684 * * [simplify]: Extracting #5: cost 3 inf + 14292 41.691 * * [simplify]: Extracting #6: cost 0 inf + 15178 41.699 * [simplify]: Simplified to (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) 41.699 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 41.699 * * * * [progress]: [ 125 / 151 ] simplifiying candidate # 41.699 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 41.700 * * [simplify]: iters left: 6 (13 enodes) 41.703 * * [simplify]: iters left: 5 (53 enodes) 41.715 * * [simplify]: iters left: 4 (118 enodes) 41.762 * * [simplify]: iters left: 3 (498 enodes) 42.431 * * [simplify]: Extracting #0: cost 1 inf + 0 42.431 * * [simplify]: Extracting #1: cost 82 inf + 0 42.432 * * [simplify]: Extracting #2: cost 437 inf + 0 42.436 * * [simplify]: Extracting #3: cost 660 inf + 4629 42.461 * * [simplify]: Extracting #4: cost 507 inf + 29884 42.503 * * [simplify]: Extracting #5: cost 274 inf + 104553 42.595 * * [simplify]: Extracting #6: cost 8 inf + 199205 42.692 * * [simplify]: Extracting #7: cost 0 inf + 202325 42.765 * [simplify]: Simplified to (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 42.765 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 42.765 * [simplify]: Simplifying (* (+ lambda1 lambda2) (+ lambda1 lambda2)) 42.765 * * [simplify]: iters left: 4 (4 enodes) 42.767 * * [simplify]: iters left: 3 (19 enodes) 42.773 * * [simplify]: iters left: 2 (41 enodes) 42.780 * * [simplify]: iters left: 1 (77 enodes) 42.791 * * [simplify]: Extracting #0: cost 1 inf + 0 42.791 * * [simplify]: Extracting #1: cost 11 inf + 0 42.791 * * [simplify]: Extracting #2: cost 29 inf + 0 42.791 * * [simplify]: Extracting #3: cost 24 inf + 127 42.792 * * [simplify]: Extracting #4: cost 4 inf + 1844 42.792 * * [simplify]: Extracting #5: cost 0 inf + 2332 42.793 * * [simplify]: Extracting #6: cost 0 inf + 2292 42.794 * [simplify]: Simplified to (* (+ lambda2 lambda1) (+ lambda2 lambda1)) 42.794 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 42.794 * * * * [progress]: [ 126 / 151 ] simplifiying candidate # 42.794 * * * * [progress]: [ 127 / 151 ] simplifiying candidate # 42.794 * [simplify]: Simplifying (* (- lambda1 lambda2) (- lambda1 lambda2)) 42.794 * * [simplify]: iters left: 4 (4 enodes) 42.795 * * [simplify]: iters left: 3 (14 enodes) 42.797 * * [simplify]: iters left: 2 (23 enodes) 42.801 * * [simplify]: iters left: 1 (49 enodes) 42.810 * * [simplify]: Extracting #0: cost 1 inf + 0 42.810 * * [simplify]: Extracting #1: cost 17 inf + 0 42.811 * * [simplify]: Extracting #2: cost 32 inf + 0 42.811 * * [simplify]: Extracting #3: cost 30 inf + 43 42.811 * * [simplify]: Extracting #4: cost 7 inf + 2364 42.812 * * [simplify]: Extracting #5: cost 0 inf + 3176 42.812 * [simplify]: Simplified to (* (- lambda1 lambda2) (- lambda1 lambda2)) 42.813 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 42.813 * [simplify]: Simplifying (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) 42.813 * * [simplify]: iters left: 6 (7 enodes) 42.815 * * [simplify]: iters left: 5 (22 enodes) 42.818 * * [simplify]: Extracting #0: cost 1 inf + 0 42.819 * * [simplify]: Extracting #1: cost 3 inf + 0 42.819 * * [simplify]: Extracting #2: cost 5 inf + 0 42.819 * * [simplify]: Extracting #3: cost 8 inf + 0 42.819 * * [simplify]: Extracting #4: cost 10 inf + 1 42.819 * * [simplify]: Extracting #5: cost 8 inf + 3 42.819 * * [simplify]: Extracting #6: cost 1 inf + 722 42.819 * * [simplify]: Extracting #7: cost 0 inf + 905 42.819 * [simplify]: Simplified to (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) 42.819 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 42.819 * * * * [progress]: [ 128 / 151 ] simplifiying candidate # 42.819 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 42.820 * * [simplify]: iters left: 6 (10 enodes) 42.824 * * [simplify]: iters left: 5 (34 enodes) 42.836 * * [simplify]: iters left: 4 (43 enodes) 42.850 * * [simplify]: iters left: 3 (57 enodes) 42.866 * * [simplify]: iters left: 2 (66 enodes) 42.884 * * [simplify]: iters left: 1 (68 enodes) 42.900 * * [simplify]: Extracting #0: cost 1 inf + 0 42.900 * * [simplify]: Extracting #1: cost 7 inf + 0 42.900 * * [simplify]: Extracting #2: cost 17 inf + 0 42.900 * * [simplify]: Extracting #3: cost 20 inf + 2 42.900 * * [simplify]: Extracting #4: cost 18 inf + 169 42.901 * * [simplify]: Extracting #5: cost 15 inf + 213 42.901 * * [simplify]: Extracting #6: cost 9 inf + 1014 42.902 * * [simplify]: Extracting #7: cost 3 inf + 2116 42.903 * * [simplify]: Extracting #8: cost 0 inf + 2707 42.904 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 42.904 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 42.904 * [simplify]: Simplifying (* 2 1) 42.905 * * [simplify]: iters left: 2 (3 enodes) 42.907 * * [simplify]: iters left: 1 (9 enodes) 42.910 * * [simplify]: Extracting #0: cost 1 inf + 0 42.910 * * [simplify]: Extracting #1: cost 0 inf + 1 42.910 * [simplify]: Simplified to 2 42.910 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 42.911 * * * * [progress]: [ 129 / 151 ] simplifiying candidate # 42.911 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 42.911 * * [simplify]: iters left: 6 (10 enodes) 42.916 * * [simplify]: iters left: 5 (34 enodes) 42.926 * * [simplify]: iters left: 4 (43 enodes) 42.940 * * [simplify]: iters left: 3 (57 enodes) 42.956 * * [simplify]: iters left: 2 (66 enodes) 42.972 * * [simplify]: iters left: 1 (68 enodes) 42.988 * * [simplify]: Extracting #0: cost 1 inf + 0 42.988 * * [simplify]: Extracting #1: cost 7 inf + 0 42.988 * * [simplify]: Extracting #2: cost 17 inf + 0 42.988 * * [simplify]: Extracting #3: cost 20 inf + 2 42.989 * * [simplify]: Extracting #4: cost 18 inf + 169 42.989 * * [simplify]: Extracting #5: cost 15 inf + 213 42.989 * * [simplify]: Extracting #6: cost 9 inf + 1014 42.990 * * [simplify]: Extracting #7: cost 3 inf + 2116 42.991 * * [simplify]: Extracting #8: cost 0 inf + 2707 42.992 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 42.992 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 42.992 * [simplify]: Simplifying (* 2 1) 42.992 * * [simplify]: iters left: 2 (3 enodes) 42.996 * * [simplify]: iters left: 1 (9 enodes) 42.999 * * [simplify]: Extracting #0: cost 1 inf + 0 42.999 * * [simplify]: Extracting #1: cost 0 inf + 1 42.999 * [simplify]: Simplified to 2 42.999 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 42.999 * * * * [progress]: [ 130 / 151 ] simplifiying candidate # 43.000 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.000 * * [simplify]: iters left: 6 (10 enodes) 43.005 * * [simplify]: iters left: 5 (34 enodes) 43.014 * * [simplify]: iters left: 4 (43 enodes) 43.022 * * [simplify]: iters left: 3 (57 enodes) 43.031 * * [simplify]: iters left: 2 (66 enodes) 43.040 * * [simplify]: iters left: 1 (68 enodes) 43.049 * * [simplify]: Extracting #0: cost 1 inf + 0 43.049 * * [simplify]: Extracting #1: cost 7 inf + 0 43.049 * * [simplify]: Extracting #2: cost 17 inf + 0 43.049 * * [simplify]: Extracting #3: cost 20 inf + 2 43.049 * * [simplify]: Extracting #4: cost 18 inf + 169 43.049 * * [simplify]: Extracting #5: cost 15 inf + 213 43.050 * * [simplify]: Extracting #6: cost 9 inf + 1014 43.050 * * [simplify]: Extracting #7: cost 3 inf + 2116 43.051 * * [simplify]: Extracting #8: cost 0 inf + 2707 43.051 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.051 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 43.051 * [simplify]: Simplifying (* 2 1) 43.051 * * [simplify]: iters left: 2 (3 enodes) 43.053 * * [simplify]: iters left: 1 (9 enodes) 43.055 * * [simplify]: Extracting #0: cost 1 inf + 0 43.055 * * [simplify]: Extracting #1: cost 0 inf + 1 43.055 * [simplify]: Simplified to 2 43.055 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 43.055 * * * * [progress]: [ 131 / 151 ] simplifiying candidate # 43.055 * [simplify]: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.055 * * [simplify]: iters left: 6 (10 enodes) 43.057 * * [simplify]: iters left: 5 (34 enodes) 43.065 * * [simplify]: iters left: 4 (43 enodes) 43.079 * * [simplify]: iters left: 3 (57 enodes) 43.095 * * [simplify]: iters left: 2 (66 enodes) 43.112 * * [simplify]: iters left: 1 (68 enodes) 43.129 * * [simplify]: Extracting #0: cost 1 inf + 0 43.129 * * [simplify]: Extracting #1: cost 7 inf + 0 43.129 * * [simplify]: Extracting #2: cost 17 inf + 0 43.129 * * [simplify]: Extracting #3: cost 20 inf + 2 43.130 * * [simplify]: Extracting #4: cost 18 inf + 169 43.130 * * [simplify]: Extracting #5: cost 15 inf + 213 43.130 * * [simplify]: Extracting #6: cost 9 inf + 1014 43.130 * * [simplify]: Extracting #7: cost 3 inf + 2116 43.131 * * [simplify]: Extracting #8: cost 0 inf + 2707 43.131 * [simplify]: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 43.131 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 43.132 * [simplify]: Simplifying (* 2 1) 43.132 * * [simplify]: iters left: 2 (3 enodes) 43.133 * * [simplify]: iters left: 1 (9 enodes) 43.135 * * [simplify]: Extracting #0: cost 1 inf + 0 43.135 * * [simplify]: Extracting #1: cost 0 inf + 1 43.135 * [simplify]: Simplified to 2 43.135 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 43.135 * * * * [progress]: [ 132 / 151 ] simplifiying candidate # 43.135 * [simplify]: Simplifying (cos (/ (+ phi1 phi2) 2)) 43.135 * * [simplify]: iters left: 5 (6 enodes) 43.137 * * [simplify]: iters left: 4 (19 enodes) 43.140 * * [simplify]: Extracting #0: cost 1 inf + 0 43.140 * * [simplify]: Extracting #1: cost 3 inf + 0 43.140 * * [simplify]: Extracting #2: cost 6 inf + 0 43.140 * * [simplify]: Extracting #3: cost 8 inf + 1 43.140 * * [simplify]: Extracting #4: cost 6 inf + 3 43.140 * * [simplify]: Extracting #5: cost 0 inf + 539 43.140 * [simplify]: Simplified to (cos (/ (+ phi2 phi1) 2)) 43.140 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.140 * * * * [progress]: [ 133 / 151 ] simplifiying candidate # 43.140 * [simplify]: Simplifying (- lambda1 lambda2) 43.140 * * [simplify]: iters left: 2 (3 enodes) 43.141 * * [simplify]: iters left: 1 (11 enodes) 43.143 * * [simplify]: Extracting #0: cost 1 inf + 0 43.143 * * [simplify]: Extracting #1: cost 5 inf + 0 43.143 * * [simplify]: Extracting #2: cost 3 inf + 43 43.143 * * [simplify]: Extracting #3: cost 0 inf + 168 43.143 * [simplify]: Simplified to (- lambda1 lambda2) 43.143 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.143 * * * * [progress]: [ 134 / 151 ] simplifiying candidate # 43.143 * [simplify]: Simplifying (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) 43.143 * * [simplify]: iters left: 6 (7 enodes) 43.145 * * [simplify]: iters left: 5 (28 enodes) 43.150 * * [simplify]: iters left: 4 (41 enodes) 43.156 * * [simplify]: iters left: 3 (44 enodes) 43.164 * * [simplify]: iters left: 2 (45 enodes) 43.174 * * [simplify]: Extracting #0: cost 1 inf + 0 43.174 * * [simplify]: Extracting #1: cost 8 inf + 0 43.174 * * [simplify]: Extracting #2: cost 17 inf + 0 43.174 * * [simplify]: Extracting #3: cost 14 inf + 84 43.174 * * [simplify]: Extracting #4: cost 7 inf + 576 43.175 * * [simplify]: Extracting #5: cost 1 inf + 1108 43.175 * * [simplify]: Extracting #6: cost 0 inf + 1230 43.175 * [simplify]: Simplified to (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) 43.175 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.175 * * * * [progress]: [ 135 / 151 ] simplifiying candidate # 43.176 * [simplify]: Simplifying (+ lambda1 lambda2) 43.176 * * [simplify]: iters left: 2 (3 enodes) 43.176 * * [simplify]: iters left: 1 (10 enodes) 43.178 * * [simplify]: Extracting #0: cost 1 inf + 0 43.178 * * [simplify]: Extracting #1: cost 4 inf + 0 43.178 * * [simplify]: Extracting #2: cost 2 inf + 2 43.178 * * [simplify]: Extracting #3: cost 0 inf + 86 43.178 * [simplify]: Simplified to (+ lambda2 lambda1) 43.178 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ lambda2 lambda1)) (* (- phi1 phi2) (- phi1 phi2)))))) 43.178 * * * * [progress]: [ 136 / 151 ] simplifiying candidate # 43.178 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 43.178 * * [simplify]: iters left: 6 (16 enodes) 43.183 * * [simplify]: iters left: 5 (72 enodes) 43.198 * * [simplify]: iters left: 4 (152 enodes) 43.267 * * [simplify]: iters left: 3 (473 enodes) 43.563 * * [simplify]: Extracting #0: cost 1 inf + 0 43.564 * * [simplify]: Extracting #1: cost 48 inf + 0 43.564 * * [simplify]: Extracting #2: cost 307 inf + 0 43.566 * * [simplify]: Extracting #3: cost 552 inf + 126 43.569 * * [simplify]: Extracting #4: cost 511 inf + 7460 43.586 * * [simplify]: Extracting #5: cost 332 inf + 73310 43.625 * * [simplify]: Extracting #6: cost 21 inf + 205020 43.679 * * [simplify]: Extracting #7: cost 0 inf + 214578 43.727 * [simplify]: Simplified to (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) 43.727 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 43.727 * * * * [progress]: [ 137 / 151 ] simplifiying candidate # 43.728 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 43.728 * * [simplify]: iters left: 6 (15 enodes) 43.732 * * [simplify]: iters left: 5 (59 enodes) 43.751 * * [simplify]: iters left: 4 (120 enodes) 43.798 * * [simplify]: iters left: 3 (468 enodes) 44.320 * * [simplify]: Extracting #0: cost 1 inf + 0 44.320 * * [simplify]: Extracting #1: cost 48 inf + 0 44.321 * * [simplify]: Extracting #2: cost 335 inf + 0 44.326 * * [simplify]: Extracting #3: cost 480 inf + 1020 44.333 * * [simplify]: Extracting #4: cost 410 inf + 10678 44.357 * * [simplify]: Extracting #5: cost 258 inf + 53279 44.420 * * [simplify]: Extracting #6: cost 18 inf + 135116 44.484 * * [simplify]: Extracting #7: cost 0 inf + 141523 44.540 * [simplify]: Simplified to (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 44.540 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- phi1 phi2)))))) 44.540 * * * * [progress]: [ 138 / 151 ] simplifiying candidate #real (real->posit16 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 44.541 * * * * [progress]: [ 139 / 151 ] simplifiying candidate # 44.541 * * * * [progress]: [ 140 / 151 ] simplifiying candidate # 44.541 * [simplify]: Simplifying (- phi2 phi1) 44.541 * * [simplify]: iters left: 2 (3 enodes) 44.542 * * [simplify]: iters left: 1 (11 enodes) 44.546 * * [simplify]: Extracting #0: cost 1 inf + 0 44.546 * * [simplify]: Extracting #1: cost 5 inf + 0 44.546 * * [simplify]: Extracting #2: cost 3 inf + 43 44.546 * * [simplify]: Extracting #3: cost 0 inf + 168 44.546 * [simplify]: Simplified to (- phi2 phi1) 44.546 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- phi2 phi1))) 44.546 * * * * [progress]: [ 141 / 151 ] simplifiying candidate # 44.547 * [simplify]: Simplifying (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 44.547 * * [simplify]: iters left: 6 (20 enodes) 44.558 * * [simplify]: iters left: 5 (101 enodes) 44.599 * * [simplify]: iters left: 4 (236 enodes) 44.706 * * [simplify]: Extracting #0: cost 1 inf + 0 44.706 * * [simplify]: Extracting #1: cost 17 inf + 0 44.707 * * [simplify]: Extracting #2: cost 108 inf + 0 44.708 * * [simplify]: Extracting #3: cost 193 inf + 1478 44.711 * * [simplify]: Extracting #4: cost 170 inf + 5958 44.720 * * [simplify]: Extracting #5: cost 99 inf + 20187 44.739 * * [simplify]: Extracting #6: cost 5 inf + 47270 44.750 * * [simplify]: Extracting #7: cost 0 inf + 49274 44.761 * [simplify]: Simplified to (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) 44.761 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))) 44.761 * * * * [progress]: [ 142 / 151 ] simplifiying candidate # 44.761 * [simplify]: Simplifying (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 44.761 * * [simplify]: iters left: 6 (19 enodes) 44.767 * * [simplify]: iters left: 5 (95 enodes) 44.787 * * [simplify]: iters left: 4 (213 enodes) 44.858 * * [simplify]: Extracting #0: cost 1 inf + 0 44.858 * * [simplify]: Extracting #1: cost 8 inf + 0 44.858 * * [simplify]: Extracting #2: cost 96 inf + 0 44.858 * * [simplify]: Extracting #3: cost 156 inf + 460 44.859 * * [simplify]: Extracting #4: cost 113 inf + 5242 44.861 * * [simplify]: Extracting #5: cost 93 inf + 7303 44.865 * * [simplify]: Extracting #6: cost 32 inf + 21983 44.871 * * [simplify]: Extracting #7: cost 1 inf + 30137 44.884 * * [simplify]: Extracting #8: cost 0 inf + 30482 44.897 * [simplify]: Simplified to (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))) 44.897 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))))) 44.897 * * * * [progress]: [ 143 / 151 ] simplifiying candidate # 44.897 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 44.897 * * [simplify]: iters left: 6 (12 enodes) 44.903 * * [simplify]: iters left: 5 (52 enodes) 44.913 * * [simplify]: iters left: 4 (79 enodes) 44.932 * * [simplify]: iters left: 3 (149 enodes) 44.969 * * [simplify]: iters left: 2 (242 enodes) 45.039 * * [simplify]: iters left: 1 (300 enodes) 45.102 * * [simplify]: Extracting #0: cost 1 inf + 0 45.102 * * [simplify]: Extracting #1: cost 19 inf + 0 45.103 * * [simplify]: Extracting #2: cost 52 inf + 2 45.103 * * [simplify]: Extracting #3: cost 51 inf + 1156 45.104 * * [simplify]: Extracting #4: cost 13 inf + 4737 45.106 * * [simplify]: Extracting #5: cost 0 inf + 6466 45.108 * * [simplify]: Extracting #6: cost 0 inf + 6426 45.112 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 45.112 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.112 * * * * [progress]: [ 144 / 151 ] simplifiying candidate # 45.112 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 45.112 * * [simplify]: iters left: 5 (6 enodes) 45.115 * * [simplify]: iters left: 4 (26 enodes) 45.120 * * [simplify]: iters left: 3 (36 enodes) 45.125 * * [simplify]: Extracting #0: cost 1 inf + 0 45.125 * * [simplify]: Extracting #1: cost 3 inf + 0 45.125 * * [simplify]: Extracting #2: cost 8 inf + 0 45.125 * * [simplify]: Extracting #3: cost 12 inf + 1 45.125 * * [simplify]: Extracting #4: cost 7 inf + 129 45.126 * * [simplify]: Extracting #5: cost 1 inf + 564 45.126 * * [simplify]: Extracting #6: cost 0 inf + 707 45.126 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 45.126 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.127 * * * * [progress]: [ 145 / 151 ] simplifiying candidate # 45.127 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 45.127 * * [simplify]: iters left: 5 (6 enodes) 45.130 * * [simplify]: iters left: 4 (26 enodes) 45.139 * * [simplify]: iters left: 3 (36 enodes) 45.147 * * [simplify]: Extracting #0: cost 1 inf + 0 45.147 * * [simplify]: Extracting #1: cost 3 inf + 0 45.148 * * [simplify]: Extracting #2: cost 8 inf + 0 45.148 * * [simplify]: Extracting #3: cost 12 inf + 1 45.148 * * [simplify]: Extracting #4: cost 7 inf + 129 45.148 * * [simplify]: Extracting #5: cost 1 inf + 564 45.148 * * [simplify]: Extracting #6: cost 0 inf + 707 45.149 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 45.149 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.149 * * * * [progress]: [ 146 / 151 ] simplifiying candidate # 45.149 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 45.149 * * [simplify]: iters left: 6 (12 enodes) 45.157 * * [simplify]: iters left: 5 (52 enodes) 45.175 * * [simplify]: iters left: 4 (79 enodes) 45.201 * * [simplify]: iters left: 3 (149 enodes) 45.232 * * [simplify]: iters left: 2 (242 enodes) 45.287 * * [simplify]: iters left: 1 (300 enodes) 45.378 * * [simplify]: Extracting #0: cost 1 inf + 0 45.378 * * [simplify]: Extracting #1: cost 19 inf + 0 45.378 * * [simplify]: Extracting #2: cost 52 inf + 2 45.378 * * [simplify]: Extracting #3: cost 51 inf + 1156 45.380 * * [simplify]: Extracting #4: cost 13 inf + 4737 45.381 * * [simplify]: Extracting #5: cost 0 inf + 6466 45.383 * * [simplify]: Extracting #6: cost 0 inf + 6426 45.385 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 45.385 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.385 * * * * [progress]: [ 147 / 151 ] simplifiying candidate # 45.386 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 45.386 * * [simplify]: iters left: 5 (6 enodes) 45.387 * * [simplify]: iters left: 4 (26 enodes) 45.392 * * [simplify]: iters left: 3 (36 enodes) 45.397 * * [simplify]: Extracting #0: cost 1 inf + 0 45.397 * * [simplify]: Extracting #1: cost 3 inf + 0 45.397 * * [simplify]: Extracting #2: cost 8 inf + 0 45.397 * * [simplify]: Extracting #3: cost 12 inf + 1 45.397 * * [simplify]: Extracting #4: cost 7 inf + 129 45.397 * * [simplify]: Extracting #5: cost 1 inf + 564 45.398 * * [simplify]: Extracting #6: cost 0 inf + 707 45.398 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 45.398 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.398 * * * * [progress]: [ 148 / 151 ] simplifiying candidate # 45.398 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 45.398 * * [simplify]: iters left: 5 (6 enodes) 45.400 * * [simplify]: iters left: 4 (26 enodes) 45.405 * * [simplify]: iters left: 3 (36 enodes) 45.410 * * [simplify]: Extracting #0: cost 1 inf + 0 45.410 * * [simplify]: Extracting #1: cost 3 inf + 0 45.410 * * [simplify]: Extracting #2: cost 8 inf + 0 45.410 * * [simplify]: Extracting #3: cost 12 inf + 1 45.410 * * [simplify]: Extracting #4: cost 7 inf + 129 45.410 * * [simplify]: Extracting #5: cost 1 inf + 564 45.410 * * [simplify]: Extracting #6: cost 0 inf + 707 45.410 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 45.410 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.410 * * * * [progress]: [ 149 / 151 ] simplifiying candidate # 45.411 * [simplify]: Simplifying (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) 45.411 * * [simplify]: iters left: 6 (9 enodes) 45.413 * * [simplify]: iters left: 5 (44 enodes) 45.422 * * [simplify]: iters left: 4 (79 enodes) 45.446 * * [simplify]: iters left: 3 (132 enodes) 45.488 * * [simplify]: iters left: 2 (163 enodes) 45.514 * * [simplify]: iters left: 1 (181 enodes) 45.548 * * [simplify]: Extracting #0: cost 1 inf + 0 45.549 * * [simplify]: Extracting #1: cost 16 inf + 0 45.549 * * [simplify]: Extracting #2: cost 40 inf + 0 45.549 * * [simplify]: Extracting #3: cost 39 inf + 459 45.551 * * [simplify]: Extracting #4: cost 9 inf + 2922 45.553 * * [simplify]: Extracting #5: cost 0 inf + 4108 45.555 * [simplify]: Simplified to (+ (* lambda2 lambda2) (* (- lambda1 (* lambda2 2)) lambda1)) 45.555 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (+ (* lambda2 lambda2) (* (- lambda1 (* lambda2 2)) lambda1)) (* (- phi1 phi2) (- phi1 phi2)))))) 45.555 * * * * [progress]: [ 150 / 151 ] simplifiying candidate # 45.556 * [simplify]: Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 45.556 * * [simplify]: iters left: 6 (19 enodes) 45.566 * * [simplify]: iters left: 5 (90 enodes) 45.602 * * [simplify]: iters left: 4 (186 enodes) 45.652 * * [simplify]: iters left: 3 (424 enodes) 45.847 * * [simplify]: Extracting #0: cost 1 inf + 0 45.848 * * [simplify]: Extracting #1: cost 18 inf + 0 45.848 * * [simplify]: Extracting #2: cost 130 inf + 0 45.850 * * [simplify]: Extracting #3: cost 220 inf + 212 45.852 * * [simplify]: Extracting #4: cost 201 inf + 1865 45.854 * * [simplify]: Extracting #5: cost 192 inf + 3783 45.862 * * [simplify]: Extracting #6: cost 122 inf + 19671 45.886 * * [simplify]: Extracting #7: cost 7 inf + 51028 45.913 * * [simplify]: Extracting #8: cost 0 inf + 53209 45.934 * [simplify]: Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 lambda2) (* lambda1 (- lambda1 (* lambda2 2))))) 45.934 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 lambda2) (* lambda1 (- lambda1 (* lambda2 2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 45.934 * * * * [progress]: [ 151 / 151 ] simplifiying candidate # 45.934 * [simplify]: Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 45.934 * * [simplify]: iters left: 6 (19 enodes) 45.941 * * [simplify]: iters left: 5 (90 enodes) 45.966 * * [simplify]: iters left: 4 (186 enodes) 46.044 * * [simplify]: iters left: 3 (424 enodes) 46.255 * * [simplify]: Extracting #0: cost 1 inf + 0 46.255 * * [simplify]: Extracting #1: cost 18 inf + 0 46.256 * * [simplify]: Extracting #2: cost 130 inf + 0 46.257 * * [simplify]: Extracting #3: cost 220 inf + 212 46.260 * * [simplify]: Extracting #4: cost 201 inf + 1865 46.263 * * [simplify]: Extracting #5: cost 192 inf + 3783 46.272 * * [simplify]: Extracting #6: cost 122 inf + 19671 46.295 * * [simplify]: Extracting #7: cost 7 inf + 51028 46.308 * * [simplify]: Extracting #8: cost 0 inf + 53209 46.330 * [simplify]: Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 lambda2) (* lambda1 (- lambda1 (* lambda2 2))))) 46.331 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 lambda2) (* lambda1 (- lambda1 (* lambda2 2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 46.331 * * * [progress]: adding candidates to table 49.323 * * [progress]: iteration 2 / 4 49.323 * * * [progress]: picking best candidate 49.372 * * * * [pick]: Picked # 49.372 * * * [progress]: localizing error 49.453 * * * [progress]: generating rewritten candidates 49.453 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 49.594 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2 1 2) 49.602 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2 1 1 2) 49.609 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2 1 1 1) 49.625 * * * [progress]: generating series expansions 49.626 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 49.626 * [backup-simplify]: Simplify (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) 49.627 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 49.627 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 49.627 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 49.627 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 49.627 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 49.627 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 49.627 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 49.627 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 49.627 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.627 * [backup-simplify]: Simplify 1/2 into 1/2 49.627 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 49.627 * [taylor]: Taking taylor expansion of phi1 in phi2 49.627 * [backup-simplify]: Simplify phi1 into phi1 49.627 * [taylor]: Taking taylor expansion of phi2 in phi2 49.627 * [backup-simplify]: Simplify 0 into 0 49.627 * [backup-simplify]: Simplify 1 into 1 49.627 * [backup-simplify]: Simplify (+ phi1 0) into phi1 49.627 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 49.627 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 49.627 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 49.627 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 49.627 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 49.628 * [backup-simplify]: Simplify (- 0) into 0 49.628 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 49.628 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 49.628 * [taylor]: Taking taylor expansion of lambda1 in phi2 49.628 * [backup-simplify]: Simplify lambda1 into lambda1 49.628 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 49.628 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 49.628 * [taylor]: Taking taylor expansion of phi2 in phi2 49.628 * [backup-simplify]: Simplify 0 into 0 49.628 * [backup-simplify]: Simplify 1 into 1 49.628 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 49.628 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 49.628 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 49.628 * [taylor]: Taking taylor expansion of lambda2 in phi2 49.628 * [backup-simplify]: Simplify lambda2 into lambda2 49.628 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 49.629 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 49.629 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 49.629 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.629 * [backup-simplify]: Simplify 1/2 into 1/2 49.629 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 49.629 * [taylor]: Taking taylor expansion of phi1 in phi2 49.629 * [backup-simplify]: Simplify phi1 into phi1 49.629 * [taylor]: Taking taylor expansion of phi2 in phi2 49.629 * [backup-simplify]: Simplify 0 into 0 49.629 * [backup-simplify]: Simplify 1 into 1 49.629 * [backup-simplify]: Simplify (+ phi1 0) into phi1 49.629 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 49.629 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 49.629 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 49.629 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 49.629 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 49.630 * [backup-simplify]: Simplify (- 0) into 0 49.630 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 49.630 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 49.630 * [taylor]: Taking taylor expansion of phi1 in phi2 49.630 * [backup-simplify]: Simplify phi1 into phi1 49.630 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 49.630 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 49.630 * [taylor]: Taking taylor expansion of 2 in phi2 49.630 * [backup-simplify]: Simplify 2 into 2 49.630 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 49.630 * [taylor]: Taking taylor expansion of phi1 in phi2 49.630 * [backup-simplify]: Simplify phi1 into phi1 49.630 * [taylor]: Taking taylor expansion of phi2 in phi2 49.630 * [backup-simplify]: Simplify 0 into 0 49.630 * [backup-simplify]: Simplify 1 into 1 49.630 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 49.630 * [taylor]: Taking taylor expansion of 2 in phi2 49.630 * [backup-simplify]: Simplify 2 into 2 49.630 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 49.630 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 49.630 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 49.630 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 49.630 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.630 * [backup-simplify]: Simplify 1/2 into 1/2 49.630 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 49.630 * [taylor]: Taking taylor expansion of phi1 in phi2 49.630 * [backup-simplify]: Simplify phi1 into phi1 49.630 * [taylor]: Taking taylor expansion of phi2 in phi2 49.630 * [backup-simplify]: Simplify 0 into 0 49.630 * [backup-simplify]: Simplify 1 into 1 49.630 * [backup-simplify]: Simplify (+ phi1 0) into phi1 49.630 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 49.630 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 49.630 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 49.631 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 49.631 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 49.631 * [backup-simplify]: Simplify (- 0) into 0 49.631 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 49.631 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 49.631 * [taylor]: Taking taylor expansion of lambda2 in phi2 49.631 * [backup-simplify]: Simplify lambda2 into lambda2 49.631 * [taylor]: Taking taylor expansion of lambda1 in phi2 49.631 * [backup-simplify]: Simplify lambda1 into lambda1 49.631 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 49.631 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.632 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 49.632 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.632 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 49.632 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 49.632 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.632 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 49.632 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 49.633 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 49.633 * [backup-simplify]: Simplify (* phi1 0) into 0 49.633 * [backup-simplify]: Simplify (* 2 0) into 0 49.633 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 49.634 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 49.634 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 49.634 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 49.634 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 49.634 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 49.635 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 49.636 * [backup-simplify]: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 49.636 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 49.637 * [backup-simplify]: Simplify (+ 0) into 0 49.638 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 49.638 * [backup-simplify]: Simplify (+ 0 1) into 1 49.639 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 49.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.640 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 49.640 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.640 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.641 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 49.641 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) 49.642 * [backup-simplify]: Simplify (+ 0) into 0 49.642 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 49.643 * [backup-simplify]: Simplify (+ 0 1) into 1 49.643 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 49.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.645 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 49.645 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.645 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.645 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 49.645 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 49.646 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 49.646 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.646 * [backup-simplify]: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 49.646 * [backup-simplify]: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 49.647 * [backup-simplify]: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) 49.648 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 49.648 * [backup-simplify]: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1) 49.648 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 49.648 * [backup-simplify]: Simplify (+ 0) into 0 49.649 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 49.649 * [backup-simplify]: Simplify (+ 0 1) into 1 49.649 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 49.650 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.650 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 49.650 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.650 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 49.651 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 49.651 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) 49.651 * [backup-simplify]: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 49.651 * [backup-simplify]: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 49.651 * [backup-simplify]: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1)) 49.652 * [backup-simplify]: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 49.653 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))))) 49.653 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 49.653 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 49.653 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 49.653 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 49.653 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.653 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.653 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.653 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.653 * [backup-simplify]: Simplify 1/2 into 1/2 49.653 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.653 * [taylor]: Taking taylor expansion of phi1 in phi1 49.653 * [backup-simplify]: Simplify 0 into 0 49.653 * [backup-simplify]: Simplify 1 into 1 49.653 * [taylor]: Taking taylor expansion of phi2 in phi1 49.653 * [backup-simplify]: Simplify phi2 into phi2 49.653 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.653 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.653 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.653 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.653 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.653 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.654 * [backup-simplify]: Simplify (- 0) into 0 49.654 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.654 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 49.654 * [taylor]: Taking taylor expansion of lambda1 in phi1 49.654 * [backup-simplify]: Simplify lambda1 into lambda1 49.654 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 49.654 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.654 * [taylor]: Taking taylor expansion of phi2 in phi1 49.654 * [backup-simplify]: Simplify phi2 into phi2 49.654 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 49.654 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 49.654 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 49.654 * [taylor]: Taking taylor expansion of lambda2 in phi1 49.654 * [backup-simplify]: Simplify lambda2 into lambda2 49.654 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.654 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.654 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.654 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.654 * [backup-simplify]: Simplify 1/2 into 1/2 49.654 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.654 * [taylor]: Taking taylor expansion of phi1 in phi1 49.654 * [backup-simplify]: Simplify 0 into 0 49.654 * [backup-simplify]: Simplify 1 into 1 49.654 * [taylor]: Taking taylor expansion of phi2 in phi1 49.654 * [backup-simplify]: Simplify phi2 into phi2 49.654 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.654 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.654 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.654 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.654 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.654 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.655 * [backup-simplify]: Simplify (- 0) into 0 49.655 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.655 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.655 * [taylor]: Taking taylor expansion of phi1 in phi1 49.655 * [backup-simplify]: Simplify 0 into 0 49.655 * [backup-simplify]: Simplify 1 into 1 49.655 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 49.655 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 49.655 * [taylor]: Taking taylor expansion of 2 in phi1 49.655 * [backup-simplify]: Simplify 2 into 2 49.655 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.655 * [taylor]: Taking taylor expansion of phi1 in phi1 49.655 * [backup-simplify]: Simplify 0 into 0 49.655 * [backup-simplify]: Simplify 1 into 1 49.655 * [taylor]: Taking taylor expansion of phi2 in phi1 49.655 * [backup-simplify]: Simplify phi2 into phi2 49.655 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 49.655 * [taylor]: Taking taylor expansion of 2 in phi1 49.655 * [backup-simplify]: Simplify 2 into 2 49.655 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 49.655 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.655 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.655 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.655 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.655 * [backup-simplify]: Simplify 1/2 into 1/2 49.655 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.655 * [taylor]: Taking taylor expansion of phi1 in phi1 49.655 * [backup-simplify]: Simplify 0 into 0 49.655 * [backup-simplify]: Simplify 1 into 1 49.655 * [taylor]: Taking taylor expansion of phi2 in phi1 49.655 * [backup-simplify]: Simplify phi2 into phi2 49.655 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.655 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.655 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.655 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.655 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.655 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.656 * [backup-simplify]: Simplify (- 0) into 0 49.656 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.656 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 49.656 * [taylor]: Taking taylor expansion of lambda2 in phi1 49.656 * [backup-simplify]: Simplify lambda2 into lambda2 49.656 * [taylor]: Taking taylor expansion of lambda1 in phi1 49.656 * [backup-simplify]: Simplify lambda1 into lambda1 49.656 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.656 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.656 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 49.656 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.656 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.656 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.656 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 49.656 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 49.657 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 49.657 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 49.657 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.657 * [backup-simplify]: Simplify (* 2 0) into 0 49.657 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.657 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 49.657 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 49.658 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 49.658 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 49.658 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 49.658 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 49.659 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 49.659 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 49.659 * [backup-simplify]: Simplify (+ 0) into 0 49.660 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 49.660 * [backup-simplify]: Simplify (+ 1 0) into 1 49.661 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 49.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.662 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 49.662 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.662 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.662 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 49.663 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) 49.663 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.663 * [backup-simplify]: Simplify (+ 0) into 0 49.663 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 49.664 * [backup-simplify]: Simplify (+ 1 0) into 1 49.664 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 49.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.665 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 49.665 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.665 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.665 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 49.665 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 49.666 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 49.666 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 49.667 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 49.668 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) 49.668 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.668 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 49.668 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 49.669 * [backup-simplify]: Simplify (+ 0) into 0 49.669 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 49.669 * [backup-simplify]: Simplify (+ 1 0) into 1 49.670 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 49.670 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 49.671 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 49.671 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.671 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 49.671 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 49.671 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) 49.672 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 49.672 * [backup-simplify]: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 49.672 * [backup-simplify]: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2)) 49.674 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) 49.676 * [backup-simplify]: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) 49.676 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 49.676 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 49.676 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 49.676 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 49.676 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.676 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.676 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.676 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.676 * [backup-simplify]: Simplify 1/2 into 1/2 49.676 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.676 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.676 * [backup-simplify]: Simplify phi1 into phi1 49.676 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.676 * [backup-simplify]: Simplify phi2 into phi2 49.676 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.676 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.676 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.677 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.677 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.677 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.677 * [backup-simplify]: Simplify (- 0) into 0 49.677 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.677 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 49.677 * [taylor]: Taking taylor expansion of lambda1 in lambda2 49.678 * [backup-simplify]: Simplify lambda1 into lambda1 49.678 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 49.678 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.678 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.678 * [backup-simplify]: Simplify phi2 into phi2 49.678 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 49.678 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.678 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.678 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.678 * [backup-simplify]: Simplify 0 into 0 49.678 * [backup-simplify]: Simplify 1 into 1 49.678 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.678 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.678 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.678 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.678 * [backup-simplify]: Simplify 1/2 into 1/2 49.678 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.678 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.678 * [backup-simplify]: Simplify phi1 into phi1 49.678 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.678 * [backup-simplify]: Simplify phi2 into phi2 49.678 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.678 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.678 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.678 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.678 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.678 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.679 * [backup-simplify]: Simplify (- 0) into 0 49.685 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.685 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.685 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.685 * [backup-simplify]: Simplify phi1 into phi1 49.685 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 49.685 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 49.685 * [taylor]: Taking taylor expansion of 2 in lambda2 49.685 * [backup-simplify]: Simplify 2 into 2 49.685 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.685 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.685 * [backup-simplify]: Simplify phi1 into phi1 49.685 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.685 * [backup-simplify]: Simplify phi2 into phi2 49.685 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 49.685 * [taylor]: Taking taylor expansion of 2 in lambda2 49.685 * [backup-simplify]: Simplify 2 into 2 49.685 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 49.685 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.685 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.685 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.685 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.685 * [backup-simplify]: Simplify 1/2 into 1/2 49.685 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.685 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.685 * [backup-simplify]: Simplify phi1 into phi1 49.685 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.685 * [backup-simplify]: Simplify phi2 into phi2 49.685 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.685 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.685 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.686 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.686 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.686 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.686 * [backup-simplify]: Simplify (- 0) into 0 49.687 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.687 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 49.687 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.687 * [backup-simplify]: Simplify 0 into 0 49.687 * [backup-simplify]: Simplify 1 into 1 49.687 * [taylor]: Taking taylor expansion of lambda1 in lambda2 49.687 * [backup-simplify]: Simplify lambda1 into lambda1 49.687 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.687 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.687 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 49.687 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.687 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.687 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 49.687 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 49.688 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 49.688 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.688 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.688 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.688 * [backup-simplify]: Simplify (* 0 lambda1) into 0 49.688 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 49.689 * [backup-simplify]: Simplify (* 2 0) into 0 49.689 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 49.689 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.690 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 49.690 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 49.691 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 49.691 * [backup-simplify]: Simplify (+ 0) into 0 49.692 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.692 * [backup-simplify]: Simplify (+ 0 0) into 0 49.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.694 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.694 * [backup-simplify]: Simplify (- 0) into 0 49.695 * [backup-simplify]: Simplify (+ 0 0) into 0 49.695 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.695 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0 49.695 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.695 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.696 * [backup-simplify]: Simplify (+ 0 0) into 0 49.696 * [backup-simplify]: Simplify (+ 0 0) into 0 49.696 * [backup-simplify]: Simplify (+ 0 0) into 0 49.697 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.697 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.697 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 49.698 * [backup-simplify]: Simplify (+ 0) into 0 49.698 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.699 * [backup-simplify]: Simplify (+ 0 0) into 0 49.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.700 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.701 * [backup-simplify]: Simplify (- 0) into 0 49.701 * [backup-simplify]: Simplify (+ 0 0) into 0 49.701 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.702 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 49.703 * [backup-simplify]: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 49.703 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 49.703 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 49.703 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 49.704 * [backup-simplify]: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))))) 49.704 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 49.704 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 49.704 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 49.704 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 49.704 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.704 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.704 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.705 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.705 * [backup-simplify]: Simplify 1/2 into 1/2 49.705 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.705 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.705 * [backup-simplify]: Simplify phi1 into phi1 49.705 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.705 * [backup-simplify]: Simplify phi2 into phi2 49.705 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.705 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.705 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.705 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.705 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.705 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.706 * [backup-simplify]: Simplify (- 0) into 0 49.706 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.706 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 49.706 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.706 * [backup-simplify]: Simplify 0 into 0 49.706 * [backup-simplify]: Simplify 1 into 1 49.706 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 49.706 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 49.706 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.706 * [backup-simplify]: Simplify phi2 into phi2 49.706 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 49.706 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 49.706 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 49.706 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.706 * [backup-simplify]: Simplify lambda2 into lambda2 49.706 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.706 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.706 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.706 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.707 * [backup-simplify]: Simplify 1/2 into 1/2 49.707 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.707 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.707 * [backup-simplify]: Simplify phi1 into phi1 49.707 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.707 * [backup-simplify]: Simplify phi2 into phi2 49.707 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.707 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.707 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.707 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.707 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.707 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.708 * [backup-simplify]: Simplify (- 0) into 0 49.708 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.708 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 49.708 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.708 * [backup-simplify]: Simplify phi1 into phi1 49.708 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 49.708 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 49.708 * [taylor]: Taking taylor expansion of 2 in lambda1 49.708 * [backup-simplify]: Simplify 2 into 2 49.708 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 49.708 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.708 * [backup-simplify]: Simplify phi1 into phi1 49.708 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.708 * [backup-simplify]: Simplify phi2 into phi2 49.708 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 49.708 * [taylor]: Taking taylor expansion of 2 in lambda1 49.708 * [backup-simplify]: Simplify 2 into 2 49.708 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 49.708 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.708 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.708 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.708 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.708 * [backup-simplify]: Simplify 1/2 into 1/2 49.708 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.708 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.708 * [backup-simplify]: Simplify phi1 into phi1 49.708 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.708 * [backup-simplify]: Simplify phi2 into phi2 49.709 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.709 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.709 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.709 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.709 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.709 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.709 * [backup-simplify]: Simplify (- 0) into 0 49.709 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.709 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 49.709 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.710 * [backup-simplify]: Simplify lambda2 into lambda2 49.710 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.710 * [backup-simplify]: Simplify 0 into 0 49.710 * [backup-simplify]: Simplify 1 into 1 49.710 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.710 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.710 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.710 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 49.710 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.710 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 49.711 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 49.711 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 49.712 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.712 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.712 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.712 * [backup-simplify]: Simplify (* lambda2 0) into 0 49.712 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 49.713 * [backup-simplify]: Simplify (* 2 0) into 0 49.713 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 49.713 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.713 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 49.714 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 49.714 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.715 * [backup-simplify]: Simplify (+ 0) into 0 49.715 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.716 * [backup-simplify]: Simplify (+ 0 0) into 0 49.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.717 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.718 * [backup-simplify]: Simplify (- 0) into 0 49.718 * [backup-simplify]: Simplify (+ 0 0) into 0 49.719 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.719 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 49.719 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 49.719 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.719 * [backup-simplify]: Simplify (+ 0 0) into 0 49.720 * [backup-simplify]: Simplify (+ 0 0) into 0 49.720 * [backup-simplify]: Simplify (+ 0 0) into 0 49.720 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.721 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.721 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 49.721 * [backup-simplify]: Simplify (+ 0) into 0 49.722 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.722 * [backup-simplify]: Simplify (+ 0 0) into 0 49.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.724 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.724 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.724 * [backup-simplify]: Simplify (- 0) into 0 49.725 * [backup-simplify]: Simplify (+ 0 0) into 0 49.725 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.725 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 49.726 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 49.726 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 49.727 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 49.727 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 49.728 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 49.728 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 49.728 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 49.728 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 49.728 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 49.728 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.728 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.728 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.728 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.728 * [backup-simplify]: Simplify 1/2 into 1/2 49.728 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.728 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.728 * [backup-simplify]: Simplify phi1 into phi1 49.728 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.729 * [backup-simplify]: Simplify phi2 into phi2 49.729 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.729 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.729 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.729 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.729 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.729 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.729 * [backup-simplify]: Simplify (- 0) into 0 49.730 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.730 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 49.730 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.730 * [backup-simplify]: Simplify 0 into 0 49.730 * [backup-simplify]: Simplify 1 into 1 49.730 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 49.730 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 49.730 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.730 * [backup-simplify]: Simplify phi2 into phi2 49.730 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 49.730 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 49.730 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 49.730 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.730 * [backup-simplify]: Simplify lambda2 into lambda2 49.730 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.730 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.730 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.730 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.730 * [backup-simplify]: Simplify 1/2 into 1/2 49.730 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.730 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.730 * [backup-simplify]: Simplify phi1 into phi1 49.730 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.730 * [backup-simplify]: Simplify phi2 into phi2 49.730 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.730 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.730 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.730 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.731 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.731 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.731 * [backup-simplify]: Simplify (- 0) into 0 49.731 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.731 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 49.731 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.731 * [backup-simplify]: Simplify phi1 into phi1 49.731 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 49.731 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 49.731 * [taylor]: Taking taylor expansion of 2 in lambda1 49.731 * [backup-simplify]: Simplify 2 into 2 49.731 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 49.731 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.731 * [backup-simplify]: Simplify phi1 into phi1 49.731 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.732 * [backup-simplify]: Simplify phi2 into phi2 49.732 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 49.732 * [taylor]: Taking taylor expansion of 2 in lambda1 49.732 * [backup-simplify]: Simplify 2 into 2 49.732 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 49.732 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 49.732 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 49.732 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 49.732 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.732 * [backup-simplify]: Simplify 1/2 into 1/2 49.732 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 49.732 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.732 * [backup-simplify]: Simplify phi1 into phi1 49.732 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.732 * [backup-simplify]: Simplify phi2 into phi2 49.732 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.732 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.732 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.732 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.732 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.732 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.733 * [backup-simplify]: Simplify (- 0) into 0 49.733 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.733 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 49.733 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.733 * [backup-simplify]: Simplify lambda2 into lambda2 49.733 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.733 * [backup-simplify]: Simplify 0 into 0 49.733 * [backup-simplify]: Simplify 1 into 1 49.733 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.733 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.733 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.733 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 49.733 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.734 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 49.734 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 49.735 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 49.735 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.735 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.735 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.735 * [backup-simplify]: Simplify (* lambda2 0) into 0 49.735 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 49.736 * [backup-simplify]: Simplify (* 2 0) into 0 49.736 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 49.736 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.736 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 49.737 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 49.737 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.738 * [backup-simplify]: Simplify (+ 0) into 0 49.738 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.739 * [backup-simplify]: Simplify (+ 0 0) into 0 49.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.740 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.741 * [backup-simplify]: Simplify (- 0) into 0 49.741 * [backup-simplify]: Simplify (+ 0 0) into 0 49.741 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.742 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 49.742 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 49.742 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.742 * [backup-simplify]: Simplify (+ 0 0) into 0 49.743 * [backup-simplify]: Simplify (+ 0 0) into 0 49.743 * [backup-simplify]: Simplify (+ 0 0) into 0 49.743 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.744 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.744 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 49.744 * [backup-simplify]: Simplify (+ 0) into 0 49.745 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.745 * [backup-simplify]: Simplify (+ 0 0) into 0 49.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.747 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.747 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.747 * [backup-simplify]: Simplify (- 0) into 0 49.748 * [backup-simplify]: Simplify (+ 0 0) into 0 49.748 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.749 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 49.749 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 49.749 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 49.750 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 49.750 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 49.751 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 49.751 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 49.751 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 49.751 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 49.751 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.751 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.751 * [backup-simplify]: Simplify phi2 into phi2 49.751 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 49.751 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.751 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.751 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.751 * [backup-simplify]: Simplify 0 into 0 49.751 * [backup-simplify]: Simplify 1 into 1 49.751 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.751 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.751 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.751 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.751 * [backup-simplify]: Simplify 1/2 into 1/2 49.751 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.751 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.751 * [backup-simplify]: Simplify phi1 into phi1 49.751 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.752 * [backup-simplify]: Simplify phi2 into phi2 49.752 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.752 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.752 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.752 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.752 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.752 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.752 * [backup-simplify]: Simplify (- 0) into 0 49.753 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.753 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.753 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.753 * [backup-simplify]: Simplify phi1 into phi1 49.753 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 49.753 * [taylor]: Taking taylor expansion of 2 in lambda2 49.753 * [backup-simplify]: Simplify 2 into 2 49.753 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.753 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.753 * [backup-simplify]: Simplify phi1 into phi1 49.753 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.753 * [backup-simplify]: Simplify phi2 into phi2 49.753 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.753 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.753 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 49.753 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 49.753 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.753 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.753 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.754 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 49.754 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 49.754 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.754 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.755 * [backup-simplify]: Simplify (+ 0 0) into 0 49.755 * [backup-simplify]: Simplify (+ 0 0) into 0 49.755 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.756 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.756 * [backup-simplify]: Simplify (- 0) into 0 49.757 * [backup-simplify]: Simplify (+ 0 0) into 0 49.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 49.757 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 49.757 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 49.757 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 49.757 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.757 * [taylor]: Taking taylor expansion of phi2 in phi1 49.757 * [backup-simplify]: Simplify phi2 into phi2 49.757 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.757 * [taylor]: Taking taylor expansion of phi1 in phi1 49.757 * [backup-simplify]: Simplify 0 into 0 49.757 * [backup-simplify]: Simplify 1 into 1 49.757 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 49.757 * [taylor]: Taking taylor expansion of 2 in phi1 49.757 * [backup-simplify]: Simplify 2 into 2 49.757 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.757 * [taylor]: Taking taylor expansion of phi1 in phi1 49.757 * [backup-simplify]: Simplify 0 into 0 49.757 * [backup-simplify]: Simplify 1 into 1 49.757 * [taylor]: Taking taylor expansion of phi2 in phi1 49.757 * [backup-simplify]: Simplify phi2 into phi2 49.757 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.757 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.758 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.758 * [backup-simplify]: Simplify (* 2 0) into 0 49.758 * [backup-simplify]: Simplify (- 0) into 0 49.758 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.758 * [backup-simplify]: Simplify (sqrt (pow phi2 2)) into phi2 49.759 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.759 * [backup-simplify]: Simplify (+ 0 0) into 0 49.759 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.760 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 49.760 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 49.760 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 49.760 * [backup-simplify]: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 49.760 * [taylor]: Taking taylor expansion of phi2 in phi2 49.760 * [backup-simplify]: Simplify 0 into 0 49.760 * [backup-simplify]: Simplify 1 into 1 49.760 * [backup-simplify]: Simplify 0 into 0 49.760 * [taylor]: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 49.760 * [taylor]: Taking taylor expansion of -1 in lambda2 49.760 * [backup-simplify]: Simplify -1 into -1 49.760 * [taylor]: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 49.760 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.760 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.760 * [backup-simplify]: Simplify 0 into 0 49.760 * [backup-simplify]: Simplify 1 into 1 49.761 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.761 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.761 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.761 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.761 * [backup-simplify]: Simplify 1/2 into 1/2 49.761 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.761 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.761 * [backup-simplify]: Simplify phi1 into phi1 49.761 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.761 * [backup-simplify]: Simplify phi2 into phi2 49.761 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.761 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.761 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.761 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.761 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.761 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.762 * [backup-simplify]: Simplify (- 0) into 0 49.762 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 49.762 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 49.762 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 49.762 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 49.762 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.762 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.762 * [backup-simplify]: Simplify phi2 into phi2 49.762 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 49.762 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.762 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.762 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.762 * [backup-simplify]: Simplify 0 into 0 49.762 * [backup-simplify]: Simplify 1 into 1 49.762 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.762 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.762 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.762 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.762 * [backup-simplify]: Simplify 1/2 into 1/2 49.762 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.762 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.762 * [backup-simplify]: Simplify phi1 into phi1 49.762 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.762 * [backup-simplify]: Simplify phi2 into phi2 49.763 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.763 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.763 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.763 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.763 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.763 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.763 * [backup-simplify]: Simplify (- 0) into 0 49.763 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.763 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.764 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.764 * [backup-simplify]: Simplify phi1 into phi1 49.764 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 49.764 * [taylor]: Taking taylor expansion of 2 in lambda2 49.764 * [backup-simplify]: Simplify 2 into 2 49.764 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.764 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.764 * [backup-simplify]: Simplify phi1 into phi1 49.764 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.764 * [backup-simplify]: Simplify phi2 into phi2 49.764 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.764 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.764 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 49.764 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 49.764 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.764 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.764 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.765 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 49.765 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 49.765 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 49.765 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.765 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.766 * [backup-simplify]: Simplify (+ 0 0) into 0 49.766 * [backup-simplify]: Simplify (+ 0 0) into 0 49.766 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.767 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.767 * [backup-simplify]: Simplify (- 0) into 0 49.767 * [backup-simplify]: Simplify (+ 0 0) into 0 49.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 49.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 49.769 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.769 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 49.769 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 49.770 * [backup-simplify]: Simplify (* -1 0) into 0 49.770 * [taylor]: Taking taylor expansion of 0 in phi1 49.770 * [backup-simplify]: Simplify 0 into 0 49.770 * [taylor]: Taking taylor expansion of 0 in phi2 49.770 * [backup-simplify]: Simplify 0 into 0 49.770 * [backup-simplify]: Simplify 0 into 0 49.770 * [taylor]: Taking taylor expansion of 0 in phi1 49.770 * [backup-simplify]: Simplify 0 into 0 49.770 * [taylor]: Taking taylor expansion of 0 in phi2 49.770 * [backup-simplify]: Simplify 0 into 0 49.770 * [backup-simplify]: Simplify 0 into 0 49.770 * [taylor]: Taking taylor expansion of -1 in phi2 49.770 * [backup-simplify]: Simplify -1 into -1 49.770 * [backup-simplify]: Simplify -1 into -1 49.770 * [backup-simplify]: Simplify 1 into 1 49.770 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.771 * [backup-simplify]: Simplify (* 1 1) into 1 49.771 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.771 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 49.772 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.773 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 49.773 * [backup-simplify]: Simplify (+ 0 0) into 0 49.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 49.775 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.776 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 49.776 * [backup-simplify]: Simplify (- 0) into 0 49.777 * [backup-simplify]: Simplify (+ 0 0) into 0 49.777 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 49.778 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 49.778 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 49.779 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 49.779 * [backup-simplify]: Simplify (+ 0 0) into 0 49.780 * [backup-simplify]: Simplify (+ 0 0) into 0 49.780 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.780 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 49.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 49.782 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 49.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.783 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 49.784 * [backup-simplify]: Simplify (+ 0 0) into 0 49.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 49.785 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.785 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 49.786 * [backup-simplify]: Simplify (- 0) into 0 49.786 * [backup-simplify]: Simplify (+ 0 0) into 0 49.786 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 49.786 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 49.787 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 49.787 * [backup-simplify]: Simplify (+ 0 0) into 0 49.788 * [backup-simplify]: Simplify (- 0) into 0 49.788 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.789 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 49.789 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 49.789 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.789 * [backup-simplify]: Simplify 1/2 into 1/2 49.789 * [taylor]: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 49.789 * [taylor]: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 49.789 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.789 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.789 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.789 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.789 * [backup-simplify]: Simplify 1/2 into 1/2 49.789 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.789 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.789 * [backup-simplify]: Simplify phi1 into phi1 49.789 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.789 * [backup-simplify]: Simplify phi2 into phi2 49.789 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.789 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.789 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.789 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.790 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.790 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.790 * [backup-simplify]: Simplify (- 0) into 0 49.790 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.790 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 49.790 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 49.790 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.790 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.790 * [backup-simplify]: Simplify 0 into 0 49.790 * [backup-simplify]: Simplify 1 into 1 49.790 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 49.790 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.790 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.790 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.790 * [backup-simplify]: Simplify 1/2 into 1/2 49.790 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.790 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.790 * [backup-simplify]: Simplify phi1 into phi1 49.790 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.790 * [backup-simplify]: Simplify phi2 into phi2 49.790 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.790 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.790 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.790 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.790 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.790 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.791 * [backup-simplify]: Simplify (- 0) into 0 49.791 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.791 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 49.791 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 49.791 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.791 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.791 * [backup-simplify]: Simplify phi2 into phi2 49.791 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 49.791 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.791 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.791 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.791 * [backup-simplify]: Simplify 0 into 0 49.791 * [backup-simplify]: Simplify 1 into 1 49.791 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.791 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.791 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.791 * [backup-simplify]: Simplify 1/2 into 1/2 49.791 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.791 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.791 * [backup-simplify]: Simplify phi1 into phi1 49.791 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.791 * [backup-simplify]: Simplify phi2 into phi2 49.791 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.791 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.791 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.791 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.791 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.791 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.792 * [backup-simplify]: Simplify (- 0) into 0 49.792 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.792 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.792 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.792 * [backup-simplify]: Simplify phi1 into phi1 49.792 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 49.792 * [taylor]: Taking taylor expansion of 2 in lambda2 49.792 * [backup-simplify]: Simplify 2 into 2 49.792 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.792 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.792 * [backup-simplify]: Simplify phi1 into phi1 49.792 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.792 * [backup-simplify]: Simplify phi2 into phi2 49.792 * [backup-simplify]: Simplify (* 1 1) into 1 49.792 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.792 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 49.793 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 49.793 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.793 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.793 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 49.793 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 49.793 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.793 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.793 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.793 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 49.793 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 49.793 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 49.793 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 49.793 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 49.793 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 49.793 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.793 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.793 * [backup-simplify]: Simplify phi2 into phi2 49.793 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 49.793 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 49.793 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.793 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.793 * [backup-simplify]: Simplify 0 into 0 49.793 * [backup-simplify]: Simplify 1 into 1 49.793 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 49.793 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 49.793 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 49.793 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.794 * [backup-simplify]: Simplify 1/2 into 1/2 49.794 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 49.794 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.794 * [backup-simplify]: Simplify phi1 into phi1 49.794 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.794 * [backup-simplify]: Simplify phi2 into phi2 49.794 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 49.794 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 49.794 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 49.794 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 49.794 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 49.794 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 49.794 * [backup-simplify]: Simplify (- 0) into 0 49.794 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 49.794 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.794 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.794 * [backup-simplify]: Simplify phi1 into phi1 49.794 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 49.794 * [taylor]: Taking taylor expansion of 2 in lambda2 49.794 * [backup-simplify]: Simplify 2 into 2 49.794 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.794 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.794 * [backup-simplify]: Simplify phi1 into phi1 49.794 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.794 * [backup-simplify]: Simplify phi2 into phi2 49.794 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.794 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.794 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 49.795 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 49.795 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.795 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 49.795 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 49.795 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 49.795 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 49.795 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 49.795 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.795 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.795 * [backup-simplify]: Simplify (+ 0 0) into 0 49.796 * [backup-simplify]: Simplify (+ 0 0) into 0 49.796 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.796 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 49.796 * [backup-simplify]: Simplify (- 0) into 0 49.797 * [backup-simplify]: Simplify (+ 0 0) into 0 49.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 49.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 49.797 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.797 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.798 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 49.798 * [backup-simplify]: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 49.798 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 49.798 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.798 * [backup-simplify]: Simplify 1/2 into 1/2 49.798 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 49.798 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.798 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.798 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.798 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.798 * [backup-simplify]: Simplify 1/2 into 1/2 49.798 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.798 * [taylor]: Taking taylor expansion of phi1 in phi1 49.798 * [backup-simplify]: Simplify 0 into 0 49.798 * [backup-simplify]: Simplify 1 into 1 49.798 * [taylor]: Taking taylor expansion of phi2 in phi1 49.798 * [backup-simplify]: Simplify phi2 into phi2 49.798 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.798 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.798 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.798 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.798 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.798 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.799 * [backup-simplify]: Simplify (- 0) into 0 49.799 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 49.799 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 49.799 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 49.799 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 49.799 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.799 * [taylor]: Taking taylor expansion of phi2 in phi1 49.799 * [backup-simplify]: Simplify phi2 into phi2 49.799 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.799 * [taylor]: Taking taylor expansion of phi1 in phi1 49.799 * [backup-simplify]: Simplify 0 into 0 49.799 * [backup-simplify]: Simplify 1 into 1 49.799 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 49.799 * [taylor]: Taking taylor expansion of 2 in phi1 49.799 * [backup-simplify]: Simplify 2 into 2 49.799 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.799 * [taylor]: Taking taylor expansion of phi1 in phi1 49.799 * [backup-simplify]: Simplify 0 into 0 49.799 * [backup-simplify]: Simplify 1 into 1 49.799 * [taylor]: Taking taylor expansion of phi2 in phi1 49.799 * [backup-simplify]: Simplify phi2 into phi2 49.799 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.799 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.799 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.799 * [backup-simplify]: Simplify (* 2 0) into 0 49.800 * [backup-simplify]: Simplify (- 0) into 0 49.800 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.800 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.800 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 49.800 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.800 * [backup-simplify]: Simplify (+ 0 0) into 0 49.800 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.801 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 49.801 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 49.801 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 49.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 49.801 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 49.801 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.801 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 49.801 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 49.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 49.801 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.801 * [backup-simplify]: Simplify 1/2 into 1/2 49.801 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 49.801 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 49.801 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.801 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.801 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.802 * [backup-simplify]: Simplify 1/2 into 1/2 49.802 * [taylor]: Taking taylor expansion of phi2 in phi2 49.802 * [backup-simplify]: Simplify 0 into 0 49.802 * [backup-simplify]: Simplify 1 into 1 49.802 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.802 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.802 * [taylor]: Taking taylor expansion of phi2 in phi2 49.802 * [backup-simplify]: Simplify 0 into 0 49.802 * [backup-simplify]: Simplify 1 into 1 49.803 * [backup-simplify]: Simplify (* 1 1) into 1 49.803 * [backup-simplify]: Simplify (/ 1 1) into 1 49.803 * [backup-simplify]: Simplify (+ 0) into 0 49.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 49.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 49.805 * [backup-simplify]: Simplify 0 into 0 49.805 * [backup-simplify]: Simplify (+ 0) into 0 49.805 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 49.806 * [backup-simplify]: Simplify (+ 0 0) into 0 49.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 49.806 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.807 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 49.807 * [backup-simplify]: Simplify (- 0) into 0 49.807 * [backup-simplify]: Simplify (+ 0 0) into 0 49.807 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 49.808 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.808 * [backup-simplify]: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 49.809 * [backup-simplify]: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 49.809 * [taylor]: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 49.809 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 49.809 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.809 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.809 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.809 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.809 * [backup-simplify]: Simplify 1/2 into 1/2 49.809 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.809 * [taylor]: Taking taylor expansion of phi1 in phi1 49.809 * [backup-simplify]: Simplify 0 into 0 49.809 * [backup-simplify]: Simplify 1 into 1 49.809 * [taylor]: Taking taylor expansion of phi2 in phi1 49.809 * [backup-simplify]: Simplify phi2 into phi2 49.809 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.809 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.809 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.809 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.809 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.809 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.809 * [backup-simplify]: Simplify (- 0) into 0 49.810 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.810 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 49.810 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 49.810 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 49.810 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 49.810 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.810 * [taylor]: Taking taylor expansion of phi2 in phi1 49.810 * [backup-simplify]: Simplify phi2 into phi2 49.810 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.810 * [taylor]: Taking taylor expansion of phi1 in phi1 49.810 * [backup-simplify]: Simplify 0 into 0 49.810 * [backup-simplify]: Simplify 1 into 1 49.810 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 49.810 * [taylor]: Taking taylor expansion of 2 in phi1 49.810 * [backup-simplify]: Simplify 2 into 2 49.810 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.810 * [taylor]: Taking taylor expansion of phi1 in phi1 49.810 * [backup-simplify]: Simplify 0 into 0 49.810 * [backup-simplify]: Simplify 1 into 1 49.810 * [taylor]: Taking taylor expansion of phi2 in phi1 49.810 * [backup-simplify]: Simplify phi2 into phi2 49.810 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.810 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.810 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.810 * [backup-simplify]: Simplify (* 2 0) into 0 49.810 * [backup-simplify]: Simplify (- 0) into 0 49.811 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.811 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.811 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 49.811 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.811 * [backup-simplify]: Simplify (+ 0 0) into 0 49.811 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.812 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 49.812 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 49.812 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 49.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 49.812 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 49.812 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.812 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 49.812 * [backup-simplify]: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 49.812 * [taylor]: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 49.812 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 49.812 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 49.812 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.812 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.812 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.812 * [backup-simplify]: Simplify 1/2 into 1/2 49.812 * [taylor]: Taking taylor expansion of phi2 in phi2 49.812 * [backup-simplify]: Simplify 0 into 0 49.812 * [backup-simplify]: Simplify 1 into 1 49.813 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.813 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.813 * [taylor]: Taking taylor expansion of phi2 in phi2 49.813 * [backup-simplify]: Simplify 0 into 0 49.813 * [backup-simplify]: Simplify 1 into 1 49.813 * [backup-simplify]: Simplify (* 1 1) into 1 49.814 * [backup-simplify]: Simplify (/ 1 1) into 1 49.814 * [backup-simplify]: Simplify (+ 0) into 0 49.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 49.815 * [backup-simplify]: Simplify (- 0) into 0 49.815 * [backup-simplify]: Simplify 0 into 0 49.819 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 49.819 * [backup-simplify]: Simplify (* 1 1) into 1 49.820 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.820 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.820 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 49.820 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.820 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.820 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 49.821 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 49.821 * [backup-simplify]: Simplify (- 0) into 0 49.821 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 49.822 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 49.822 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 49.822 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.822 * [backup-simplify]: Simplify 1/2 into 1/2 49.822 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 49.822 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 49.822 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 49.822 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 49.822 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.822 * [backup-simplify]: Simplify 1/2 into 1/2 49.822 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 49.822 * [taylor]: Taking taylor expansion of phi1 in phi1 49.822 * [backup-simplify]: Simplify 0 into 0 49.822 * [backup-simplify]: Simplify 1 into 1 49.822 * [taylor]: Taking taylor expansion of phi2 in phi1 49.822 * [backup-simplify]: Simplify phi2 into phi2 49.822 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 49.823 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 49.823 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 49.823 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 49.823 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 49.823 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 49.823 * [backup-simplify]: Simplify (- 0) into 0 49.823 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 49.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 49.823 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 49.823 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 49.823 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 49.823 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.823 * [taylor]: Taking taylor expansion of phi2 in phi1 49.823 * [backup-simplify]: Simplify phi2 into phi2 49.823 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.823 * [taylor]: Taking taylor expansion of phi1 in phi1 49.823 * [backup-simplify]: Simplify 0 into 0 49.823 * [backup-simplify]: Simplify 1 into 1 49.823 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 49.823 * [taylor]: Taking taylor expansion of 2 in phi1 49.823 * [backup-simplify]: Simplify 2 into 2 49.823 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.823 * [taylor]: Taking taylor expansion of phi1 in phi1 49.823 * [backup-simplify]: Simplify 0 into 0 49.823 * [backup-simplify]: Simplify 1 into 1 49.823 * [taylor]: Taking taylor expansion of phi2 in phi1 49.823 * [backup-simplify]: Simplify phi2 into phi2 49.823 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.823 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.823 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.824 * [backup-simplify]: Simplify (* 2 0) into 0 49.824 * [backup-simplify]: Simplify (- 0) into 0 49.824 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 49.824 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.824 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 49.824 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.824 * [backup-simplify]: Simplify (+ 0 0) into 0 49.825 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.825 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 49.825 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 49.825 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 49.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 49.825 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 49.826 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 49.826 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 49.826 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 49.826 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 49.826 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.826 * [backup-simplify]: Simplify 1/2 into 1/2 49.826 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 49.826 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 49.826 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 49.826 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 49.826 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.826 * [backup-simplify]: Simplify 1/2 into 1/2 49.826 * [taylor]: Taking taylor expansion of phi2 in phi2 49.826 * [backup-simplify]: Simplify 0 into 0 49.826 * [backup-simplify]: Simplify 1 into 1 49.826 * [backup-simplify]: Simplify (* 1/2 0) into 0 49.827 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 49.827 * [taylor]: Taking taylor expansion of phi2 in phi2 49.827 * [backup-simplify]: Simplify 0 into 0 49.827 * [backup-simplify]: Simplify 1 into 1 49.827 * [backup-simplify]: Simplify (* 1 1) into 1 49.827 * [backup-simplify]: Simplify (/ 1 1) into 1 49.828 * [backup-simplify]: Simplify (+ 0) into 0 49.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 49.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 49.830 * [backup-simplify]: Simplify 0 into 0 49.830 * [taylor]: Taking taylor expansion of 0 in phi2 49.830 * [backup-simplify]: Simplify 0 into 0 49.830 * [backup-simplify]: Simplify 0 into 0 49.830 * [taylor]: Taking taylor expansion of 0 in phi2 49.830 * [backup-simplify]: Simplify 0 into 0 49.830 * [backup-simplify]: Simplify 0 into 0 49.831 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 49.831 * [backup-simplify]: Simplify (* 1 1) into 1 49.831 * [backup-simplify]: Simplify (+ 0 1) into 1 49.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 49.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 49.833 * [backup-simplify]: Simplify (- 0) into 0 49.833 * [backup-simplify]: Simplify (+ 1 0) into 1 49.834 * [backup-simplify]: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 49.834 * [taylor]: Taking taylor expansion of 0 in phi2 49.834 * [backup-simplify]: Simplify 0 into 0 49.834 * [backup-simplify]: Simplify 0 into 0 49.834 * [backup-simplify]: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) 49.835 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cbrt (* (* (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) 49.835 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 49.835 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 49.835 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 49.835 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 49.835 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 49.835 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 49.835 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.835 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.835 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.835 * [backup-simplify]: Simplify 1/2 into 1/2 49.835 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.835 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.835 * [taylor]: Taking taylor expansion of phi1 in phi2 49.835 * [backup-simplify]: Simplify phi1 into phi1 49.835 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.835 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.835 * [taylor]: Taking taylor expansion of phi2 in phi2 49.835 * [backup-simplify]: Simplify 0 into 0 49.836 * [backup-simplify]: Simplify 1 into 1 49.836 * [backup-simplify]: Simplify (/ 1 1) into 1 49.836 * [backup-simplify]: Simplify (+ 0 1) into 1 49.836 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.836 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.836 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 49.836 * [taylor]: Taking taylor expansion of lambda2 in phi2 49.837 * [backup-simplify]: Simplify lambda2 into lambda2 49.837 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.837 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.837 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 49.837 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 49.837 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 49.837 * [taylor]: Taking taylor expansion of phi1 in phi2 49.837 * [backup-simplify]: Simplify phi1 into phi1 49.837 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.837 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.837 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 49.837 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 49.837 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 49.837 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.837 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.837 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.837 * [backup-simplify]: Simplify 1/2 into 1/2 49.837 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.837 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.837 * [taylor]: Taking taylor expansion of phi1 in phi2 49.837 * [backup-simplify]: Simplify phi1 into phi1 49.837 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.837 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.837 * [taylor]: Taking taylor expansion of phi2 in phi2 49.837 * [backup-simplify]: Simplify 0 into 0 49.837 * [backup-simplify]: Simplify 1 into 1 49.838 * [backup-simplify]: Simplify (/ 1 1) into 1 49.838 * [backup-simplify]: Simplify (+ 0 1) into 1 49.838 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.838 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.838 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 49.838 * [taylor]: Taking taylor expansion of lambda1 in phi2 49.838 * [backup-simplify]: Simplify lambda1 into lambda1 49.838 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.838 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.839 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 49.839 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 49.839 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 49.839 * [taylor]: Taking taylor expansion of phi2 in phi2 49.839 * [backup-simplify]: Simplify 0 into 0 49.839 * [backup-simplify]: Simplify 1 into 1 49.839 * [backup-simplify]: Simplify (* 1 1) into 1 49.839 * [backup-simplify]: Simplify (/ 1 1) into 1 49.839 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 49.839 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 49.839 * [taylor]: Taking taylor expansion of 2 in phi2 49.839 * [backup-simplify]: Simplify 2 into 2 49.839 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 49.839 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 49.839 * [taylor]: Taking taylor expansion of phi1 in phi2 49.839 * [backup-simplify]: Simplify phi1 into phi1 49.839 * [taylor]: Taking taylor expansion of phi2 in phi2 49.839 * [backup-simplify]: Simplify 0 into 0 49.839 * [backup-simplify]: Simplify 1 into 1 49.839 * [backup-simplify]: Simplify (* phi1 0) into 0 49.840 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 49.840 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.840 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 49.840 * [taylor]: Taking taylor expansion of 2 in phi2 49.840 * [backup-simplify]: Simplify 2 into 2 49.840 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 49.840 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 49.840 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.840 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.840 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.840 * [backup-simplify]: Simplify 1/2 into 1/2 49.840 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.840 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.840 * [taylor]: Taking taylor expansion of phi1 in phi2 49.840 * [backup-simplify]: Simplify phi1 into phi1 49.840 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.840 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.840 * [taylor]: Taking taylor expansion of phi2 in phi2 49.840 * [backup-simplify]: Simplify 0 into 0 49.840 * [backup-simplify]: Simplify 1 into 1 49.840 * [backup-simplify]: Simplify (/ 1 1) into 1 49.841 * [backup-simplify]: Simplify (+ 0 1) into 1 49.841 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.841 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.841 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 49.841 * [taylor]: Taking taylor expansion of lambda2 in phi2 49.841 * [backup-simplify]: Simplify lambda2 into lambda2 49.841 * [taylor]: Taking taylor expansion of lambda1 in phi2 49.841 * [backup-simplify]: Simplify lambda1 into lambda1 49.842 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.842 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 49.842 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 49.842 * [backup-simplify]: Simplify (+ 0 1) into 1 49.843 * [backup-simplify]: Simplify (+ 0 1) into 1 49.843 * [backup-simplify]: Simplify (+ 0 1) into 1 49.844 * [backup-simplify]: Simplify (+ 1 0) into 1 49.844 * [backup-simplify]: Simplify (sqrt 1) into 1 49.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.846 * [backup-simplify]: Simplify (+ 0 0) into 0 49.846 * [backup-simplify]: Simplify (+ 0 0) into 0 49.847 * [backup-simplify]: Simplify (+ 0 0) into 0 49.847 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 49.847 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 49.847 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 49.847 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 49.848 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 49.848 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 49.848 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 49.848 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 49.848 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 49.848 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 49.848 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.848 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.848 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.848 * [backup-simplify]: Simplify 1/2 into 1/2 49.848 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.848 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.848 * [taylor]: Taking taylor expansion of phi1 in phi1 49.848 * [backup-simplify]: Simplify 0 into 0 49.848 * [backup-simplify]: Simplify 1 into 1 49.849 * [backup-simplify]: Simplify (/ 1 1) into 1 49.849 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.849 * [taylor]: Taking taylor expansion of phi2 in phi1 49.849 * [backup-simplify]: Simplify phi2 into phi2 49.849 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.849 * [backup-simplify]: Simplify (+ 1 0) into 1 49.850 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.850 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.850 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 49.850 * [taylor]: Taking taylor expansion of lambda2 in phi1 49.850 * [backup-simplify]: Simplify lambda2 into lambda2 49.850 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.850 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.850 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 49.850 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 49.850 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 49.850 * [taylor]: Taking taylor expansion of phi1 in phi1 49.850 * [backup-simplify]: Simplify 0 into 0 49.850 * [backup-simplify]: Simplify 1 into 1 49.851 * [backup-simplify]: Simplify (* 1 1) into 1 49.851 * [backup-simplify]: Simplify (/ 1 1) into 1 49.851 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 49.851 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 49.851 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 49.851 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.851 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.851 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.851 * [backup-simplify]: Simplify 1/2 into 1/2 49.851 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.851 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.851 * [taylor]: Taking taylor expansion of phi1 in phi1 49.851 * [backup-simplify]: Simplify 0 into 0 49.851 * [backup-simplify]: Simplify 1 into 1 49.852 * [backup-simplify]: Simplify (/ 1 1) into 1 49.852 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.852 * [taylor]: Taking taylor expansion of phi2 in phi1 49.852 * [backup-simplify]: Simplify phi2 into phi2 49.852 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.852 * [backup-simplify]: Simplify (+ 1 0) into 1 49.853 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.853 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.853 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 49.853 * [taylor]: Taking taylor expansion of lambda1 in phi1 49.853 * [backup-simplify]: Simplify lambda1 into lambda1 49.853 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.853 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.854 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 49.854 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 49.854 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 49.854 * [taylor]: Taking taylor expansion of phi2 in phi1 49.854 * [backup-simplify]: Simplify phi2 into phi2 49.854 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.854 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.854 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 49.854 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 49.854 * [taylor]: Taking taylor expansion of 2 in phi1 49.854 * [backup-simplify]: Simplify 2 into 2 49.854 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 49.854 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 49.854 * [taylor]: Taking taylor expansion of phi1 in phi1 49.854 * [backup-simplify]: Simplify 0 into 0 49.854 * [backup-simplify]: Simplify 1 into 1 49.854 * [taylor]: Taking taylor expansion of phi2 in phi1 49.854 * [backup-simplify]: Simplify phi2 into phi2 49.854 * [backup-simplify]: Simplify (* 0 phi2) into 0 49.854 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 49.855 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.855 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 49.855 * [taylor]: Taking taylor expansion of 2 in phi1 49.855 * [backup-simplify]: Simplify 2 into 2 49.855 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 49.855 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 49.855 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.855 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.855 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.855 * [backup-simplify]: Simplify 1/2 into 1/2 49.855 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.855 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.855 * [taylor]: Taking taylor expansion of phi1 in phi1 49.855 * [backup-simplify]: Simplify 0 into 0 49.855 * [backup-simplify]: Simplify 1 into 1 49.855 * [backup-simplify]: Simplify (/ 1 1) into 1 49.855 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.855 * [taylor]: Taking taylor expansion of phi2 in phi1 49.855 * [backup-simplify]: Simplify phi2 into phi2 49.855 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.856 * [backup-simplify]: Simplify (+ 1 0) into 1 49.856 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.856 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.856 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 49.856 * [taylor]: Taking taylor expansion of lambda2 in phi1 49.856 * [backup-simplify]: Simplify lambda2 into lambda2 49.856 * [taylor]: Taking taylor expansion of lambda1 in phi1 49.856 * [backup-simplify]: Simplify lambda1 into lambda1 49.857 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.857 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 49.857 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 49.857 * [backup-simplify]: Simplify (+ 1 0) into 1 49.858 * [backup-simplify]: Simplify (+ 0 1) into 1 49.858 * [backup-simplify]: Simplify (+ 1 0) into 1 49.858 * [backup-simplify]: Simplify (sqrt 1) into 1 49.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 49.860 * [backup-simplify]: Simplify (+ 0 0) into 0 49.861 * [backup-simplify]: Simplify (+ 0 0) into 0 49.861 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 49.861 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 49.861 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 49.861 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 49.862 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 49.862 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 49.862 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 49.862 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 49.862 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 49.862 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 49.862 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.862 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.862 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.862 * [backup-simplify]: Simplify 1/2 into 1/2 49.862 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.862 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.862 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.862 * [backup-simplify]: Simplify phi1 into phi1 49.862 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.862 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.862 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.862 * [backup-simplify]: Simplify phi2 into phi2 49.862 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.862 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.862 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.862 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.863 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.863 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.863 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.863 * [backup-simplify]: Simplify (- 0) into 0 49.863 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.863 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 49.863 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.863 * [backup-simplify]: Simplify 0 into 0 49.863 * [backup-simplify]: Simplify 1 into 1 49.864 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.864 * [backup-simplify]: Simplify (* 1 1) into 1 49.864 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 49.864 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 49.864 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.864 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.864 * [backup-simplify]: Simplify phi1 into phi1 49.864 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.865 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.865 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 49.865 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 49.865 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 49.865 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.865 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.865 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.865 * [backup-simplify]: Simplify 1/2 into 1/2 49.865 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.865 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.865 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.865 * [backup-simplify]: Simplify phi1 into phi1 49.865 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.865 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.865 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.865 * [backup-simplify]: Simplify phi2 into phi2 49.865 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.865 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.865 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.865 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.865 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.866 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.866 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.866 * [backup-simplify]: Simplify (- 0) into 0 49.866 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.866 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 49.866 * [taylor]: Taking taylor expansion of lambda1 in lambda2 49.866 * [backup-simplify]: Simplify lambda1 into lambda1 49.867 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.867 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 49.867 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 49.867 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 49.867 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.867 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.867 * [backup-simplify]: Simplify phi2 into phi2 49.867 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.867 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.867 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 49.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 49.867 * [taylor]: Taking taylor expansion of 2 in lambda2 49.867 * [backup-simplify]: Simplify 2 into 2 49.867 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 49.867 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.867 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.867 * [backup-simplify]: Simplify phi1 into phi1 49.867 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.867 * [backup-simplify]: Simplify phi2 into phi2 49.867 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.867 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.867 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 49.868 * [taylor]: Taking taylor expansion of 2 in lambda2 49.868 * [backup-simplify]: Simplify 2 into 2 49.868 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 49.868 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 49.868 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.868 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.868 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.868 * [backup-simplify]: Simplify 1/2 into 1/2 49.868 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.868 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.868 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.868 * [backup-simplify]: Simplify phi1 into phi1 49.868 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.868 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.868 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.868 * [backup-simplify]: Simplify phi2 into phi2 49.868 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.868 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.868 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.868 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.868 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.869 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.869 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.869 * [backup-simplify]: Simplify (- 0) into 0 49.869 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.869 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 49.869 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.869 * [backup-simplify]: Simplify 0 into 0 49.869 * [backup-simplify]: Simplify 1 into 1 49.869 * [taylor]: Taking taylor expansion of lambda1 in lambda2 49.869 * [backup-simplify]: Simplify lambda1 into lambda1 49.870 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.870 * [backup-simplify]: Simplify (* 0 lambda1) into 0 49.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 49.870 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 49.871 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.871 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.871 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.871 * [backup-simplify]: Simplify (+ 0) into 0 49.872 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.873 * [backup-simplify]: Simplify (+ 0 0) into 0 49.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.875 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.875 * [backup-simplify]: Simplify (- 0) into 0 49.875 * [backup-simplify]: Simplify (+ 0 0) into 0 49.876 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 49.878 * [backup-simplify]: Simplify (+ 0 0) into 0 49.878 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 49.879 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 49.879 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 49.879 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 49.880 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 49.880 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 49.880 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 49.880 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 49.880 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 49.880 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.880 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.880 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.880 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.880 * [backup-simplify]: Simplify 1/2 into 1/2 49.880 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.880 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.880 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.880 * [backup-simplify]: Simplify phi1 into phi1 49.880 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.880 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.880 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.880 * [backup-simplify]: Simplify phi2 into phi2 49.880 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.881 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.881 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.881 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.881 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.881 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.881 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.882 * [backup-simplify]: Simplify (- 0) into 0 49.882 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.882 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 49.882 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.882 * [backup-simplify]: Simplify lambda2 into lambda2 49.882 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.882 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.883 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 49.883 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 49.883 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 49.883 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.883 * [backup-simplify]: Simplify phi1 into phi1 49.883 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.883 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.883 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 49.883 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 49.883 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.883 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.883 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.883 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.883 * [backup-simplify]: Simplify 1/2 into 1/2 49.883 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.883 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.883 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.883 * [backup-simplify]: Simplify phi1 into phi1 49.883 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.883 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.883 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.883 * [backup-simplify]: Simplify phi2 into phi2 49.883 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.883 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.884 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.884 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.884 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.884 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.884 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.885 * [backup-simplify]: Simplify (- 0) into 0 49.885 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.885 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 49.885 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.885 * [backup-simplify]: Simplify 0 into 0 49.885 * [backup-simplify]: Simplify 1 into 1 49.885 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.886 * [backup-simplify]: Simplify (* 1 1) into 1 49.886 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.886 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 49.886 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 49.886 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.886 * [backup-simplify]: Simplify phi2 into phi2 49.886 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.886 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.886 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 49.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 49.886 * [taylor]: Taking taylor expansion of 2 in lambda1 49.886 * [backup-simplify]: Simplify 2 into 2 49.886 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 49.886 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 49.886 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.886 * [backup-simplify]: Simplify phi1 into phi1 49.886 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.886 * [backup-simplify]: Simplify phi2 into phi2 49.886 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.886 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.886 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 49.887 * [taylor]: Taking taylor expansion of 2 in lambda1 49.887 * [backup-simplify]: Simplify 2 into 2 49.887 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 49.887 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.887 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.887 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.887 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.887 * [backup-simplify]: Simplify 1/2 into 1/2 49.887 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.887 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.887 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.887 * [backup-simplify]: Simplify phi1 into phi1 49.887 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.887 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.887 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.887 * [backup-simplify]: Simplify phi2 into phi2 49.887 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.887 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.887 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.887 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.888 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.888 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.888 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.888 * [backup-simplify]: Simplify (- 0) into 0 49.888 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.888 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 49.889 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.889 * [backup-simplify]: Simplify lambda2 into lambda2 49.889 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.889 * [backup-simplify]: Simplify 0 into 0 49.889 * [backup-simplify]: Simplify 1 into 1 49.889 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.889 * [backup-simplify]: Simplify (* lambda2 0) into 0 49.889 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 49.890 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 49.890 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.890 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.891 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.891 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.891 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.891 * [backup-simplify]: Simplify (+ 0) into 0 49.892 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.893 * [backup-simplify]: Simplify (+ 0 0) into 0 49.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.894 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.895 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.895 * [backup-simplify]: Simplify (- 0) into 0 49.896 * [backup-simplify]: Simplify (+ 0 0) into 0 49.896 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 49.898 * [backup-simplify]: Simplify (+ 0 0) into 0 49.898 * [backup-simplify]: Simplify (+ 0 0) into 0 49.899 * [backup-simplify]: Simplify (+ 0 0) into 0 49.899 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.899 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.900 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.900 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.901 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 49.901 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 49.901 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 49.901 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 49.901 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 49.901 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.901 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.901 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.901 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.901 * [backup-simplify]: Simplify 1/2 into 1/2 49.901 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.901 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.901 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.901 * [backup-simplify]: Simplify phi1 into phi1 49.901 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.901 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.901 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.901 * [backup-simplify]: Simplify phi2 into phi2 49.901 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.901 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.901 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.902 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.902 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.902 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.902 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.902 * [backup-simplify]: Simplify (- 0) into 0 49.903 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.903 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 49.903 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.903 * [backup-simplify]: Simplify lambda2 into lambda2 49.903 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.903 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 49.903 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 49.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 49.903 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 49.903 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 49.903 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.903 * [backup-simplify]: Simplify phi1 into phi1 49.903 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.903 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.904 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 49.904 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 49.904 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.904 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.904 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.904 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.904 * [backup-simplify]: Simplify 1/2 into 1/2 49.904 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.904 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.904 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.904 * [backup-simplify]: Simplify phi1 into phi1 49.904 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.904 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.904 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.904 * [backup-simplify]: Simplify phi2 into phi2 49.904 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.904 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.904 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.904 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.904 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.905 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.905 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.905 * [backup-simplify]: Simplify (- 0) into 0 49.905 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.905 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 49.906 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.906 * [backup-simplify]: Simplify 0 into 0 49.906 * [backup-simplify]: Simplify 1 into 1 49.906 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.906 * [backup-simplify]: Simplify (* 1 1) into 1 49.906 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.906 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 49.907 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 49.907 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.907 * [backup-simplify]: Simplify phi2 into phi2 49.907 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.907 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.907 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 49.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 49.907 * [taylor]: Taking taylor expansion of 2 in lambda1 49.907 * [backup-simplify]: Simplify 2 into 2 49.907 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 49.907 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 49.907 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.907 * [backup-simplify]: Simplify phi1 into phi1 49.907 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.907 * [backup-simplify]: Simplify phi2 into phi2 49.907 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.907 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.907 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 49.907 * [taylor]: Taking taylor expansion of 2 in lambda1 49.907 * [backup-simplify]: Simplify 2 into 2 49.907 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 49.907 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 49.907 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 49.907 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 49.907 * [taylor]: Taking taylor expansion of 1/2 in lambda1 49.907 * [backup-simplify]: Simplify 1/2 into 1/2 49.907 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 49.907 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 49.907 * [taylor]: Taking taylor expansion of phi1 in lambda1 49.907 * [backup-simplify]: Simplify phi1 into phi1 49.908 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.908 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 49.908 * [taylor]: Taking taylor expansion of phi2 in lambda1 49.908 * [backup-simplify]: Simplify phi2 into phi2 49.908 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.908 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.908 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.908 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.908 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.908 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.908 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.909 * [backup-simplify]: Simplify (- 0) into 0 49.909 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.909 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 49.909 * [taylor]: Taking taylor expansion of lambda2 in lambda1 49.909 * [backup-simplify]: Simplify lambda2 into lambda2 49.909 * [taylor]: Taking taylor expansion of lambda1 in lambda1 49.909 * [backup-simplify]: Simplify 0 into 0 49.909 * [backup-simplify]: Simplify 1 into 1 49.909 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.910 * [backup-simplify]: Simplify (* lambda2 0) into 0 49.910 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 49.910 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 49.910 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.911 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.911 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.911 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 49.911 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.912 * [backup-simplify]: Simplify (+ 0) into 0 49.912 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.913 * [backup-simplify]: Simplify (+ 0 0) into 0 49.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.914 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.915 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.915 * [backup-simplify]: Simplify (- 0) into 0 49.916 * [backup-simplify]: Simplify (+ 0 0) into 0 49.916 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 49.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 49.918 * [backup-simplify]: Simplify (+ 0 0) into 0 49.918 * [backup-simplify]: Simplify (+ 0 0) into 0 49.919 * [backup-simplify]: Simplify (+ 0 0) into 0 49.919 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.919 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 49.920 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.920 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 49.921 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 49.921 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.921 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.921 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.921 * [backup-simplify]: Simplify 1/2 into 1/2 49.921 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.921 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.921 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.921 * [backup-simplify]: Simplify phi1 into phi1 49.921 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.921 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.921 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.921 * [backup-simplify]: Simplify phi2 into phi2 49.921 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.921 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.921 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.921 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.922 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.922 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 49.922 * [taylor]: Taking taylor expansion of -1 in lambda2 49.922 * [backup-simplify]: Simplify -1 into -1 49.922 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 49.922 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.922 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.922 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.922 * [backup-simplify]: Simplify 1/2 into 1/2 49.922 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.922 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.922 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.922 * [backup-simplify]: Simplify phi1 into phi1 49.922 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.922 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.922 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.922 * [backup-simplify]: Simplify phi2 into phi2 49.922 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.922 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.922 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.922 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.923 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.923 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.923 * [backup-simplify]: Simplify 0 into 0 49.923 * [backup-simplify]: Simplify 1 into 1 49.923 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.923 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.923 * [backup-simplify]: Simplify (- 0) into 0 49.924 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.924 * [backup-simplify]: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.924 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.924 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 49.924 * [taylor]: Taking taylor expansion of -1 in phi1 49.924 * [backup-simplify]: Simplify -1 into -1 49.924 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.924 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.924 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.924 * [backup-simplify]: Simplify 1/2 into 1/2 49.924 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.924 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.924 * [taylor]: Taking taylor expansion of phi1 in phi1 49.924 * [backup-simplify]: Simplify 0 into 0 49.924 * [backup-simplify]: Simplify 1 into 1 49.925 * [backup-simplify]: Simplify (/ 1 1) into 1 49.925 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.925 * [taylor]: Taking taylor expansion of phi2 in phi1 49.925 * [backup-simplify]: Simplify phi2 into phi2 49.925 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.925 * [backup-simplify]: Simplify (+ 1 0) into 1 49.926 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.926 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.926 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.926 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.927 * [backup-simplify]: Simplify (- 0) into 0 49.927 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.927 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 49.927 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 49.927 * [taylor]: Taking taylor expansion of 1/2 in phi1 49.927 * [backup-simplify]: Simplify 1/2 into 1/2 49.927 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 49.927 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 49.927 * [taylor]: Taking taylor expansion of phi1 in phi1 49.927 * [backup-simplify]: Simplify 0 into 0 49.927 * [backup-simplify]: Simplify 1 into 1 49.927 * [backup-simplify]: Simplify (/ 1 1) into 1 49.927 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 49.927 * [taylor]: Taking taylor expansion of phi2 in phi1 49.927 * [backup-simplify]: Simplify phi2 into phi2 49.927 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.928 * [backup-simplify]: Simplify (+ 1 0) into 1 49.928 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.928 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.930 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 49.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.931 * [backup-simplify]: Simplify (+ 0 0) into 0 49.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 49.933 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.934 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 49.934 * [backup-simplify]: Simplify (- 0) into 0 49.934 * [backup-simplify]: Simplify (+ 0 0) into 0 49.935 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 49.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 49.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.938 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 49.938 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 49.938 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 49.938 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 49.939 * [backup-simplify]: Simplify (+ 0) into 0 49.939 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.940 * [backup-simplify]: Simplify (+ 0 0) into 0 49.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.942 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.942 * [backup-simplify]: Simplify (- 0) into 0 49.943 * [backup-simplify]: Simplify (+ 0 0) into 0 49.943 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.943 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 49.944 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 49.944 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 49.945 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 49.945 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 49.945 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 49.947 * [backup-simplify]: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 49.947 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.947 * [backup-simplify]: Simplify 1/2 into 1/2 49.947 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 49.947 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 49.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 49.947 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 49.947 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.947 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.947 * [backup-simplify]: Simplify phi2 into phi2 49.947 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.947 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 49.947 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 49.947 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 49.947 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.947 * [backup-simplify]: Simplify phi1 into phi1 49.948 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 49.948 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 49.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 49.948 * [taylor]: Taking taylor expansion of 2 in lambda2 49.948 * [backup-simplify]: Simplify 2 into 2 49.948 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 49.948 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 49.948 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.948 * [backup-simplify]: Simplify phi1 into phi1 49.948 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.948 * [backup-simplify]: Simplify phi2 into phi2 49.948 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 49.948 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 49.948 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 49.948 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 49.948 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.948 * [backup-simplify]: Simplify 1/2 into 1/2 49.948 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 49.948 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 49.948 * [taylor]: Taking taylor expansion of phi1 in lambda2 49.948 * [backup-simplify]: Simplify phi1 into phi1 49.948 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.948 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 49.948 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.948 * [backup-simplify]: Simplify phi2 into phi2 49.948 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 49.949 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 49.949 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 49.949 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.949 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.949 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 49.949 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 49.949 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 49.950 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 49.950 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.950 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 49.950 * [backup-simplify]: Simplify (- 0) into 0 49.950 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.951 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.951 * [backup-simplify]: Simplify (+ 0) into 0 49.952 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.953 * [backup-simplify]: Simplify (+ 0 0) into 0 49.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.954 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.955 * [backup-simplify]: Simplify (- 0) into 0 49.955 * [backup-simplify]: Simplify (+ 0 0) into 0 49.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 49.961 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.961 * [taylor]: Taking taylor expansion of 0 in phi1 49.961 * [backup-simplify]: Simplify 0 into 0 49.961 * [backup-simplify]: Simplify (+ 0) into 0 49.962 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.963 * [backup-simplify]: Simplify (+ 0 0) into 0 49.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.964 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.965 * [backup-simplify]: Simplify (- 0) into 0 49.965 * [backup-simplify]: Simplify (+ 0 0) into 0 49.965 * [taylor]: Taking taylor expansion of 0 in phi1 49.965 * [backup-simplify]: Simplify 0 into 0 49.965 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 49.965 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 49.965 * [taylor]: Taking taylor expansion of -1 in phi2 49.965 * [backup-simplify]: Simplify -1 into -1 49.965 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.966 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.966 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.966 * [backup-simplify]: Simplify 1/2 into 1/2 49.966 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.966 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.966 * [taylor]: Taking taylor expansion of phi1 in phi2 49.966 * [backup-simplify]: Simplify phi1 into phi1 49.966 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.966 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.966 * [taylor]: Taking taylor expansion of phi2 in phi2 49.966 * [backup-simplify]: Simplify 0 into 0 49.966 * [backup-simplify]: Simplify 1 into 1 49.966 * [backup-simplify]: Simplify (/ 1 1) into 1 49.967 * [backup-simplify]: Simplify (+ 0 1) into 1 49.967 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.967 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.967 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 49.967 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 49.967 * [taylor]: Taking taylor expansion of 1/2 in phi2 49.967 * [backup-simplify]: Simplify 1/2 into 1/2 49.967 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 49.967 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 49.967 * [taylor]: Taking taylor expansion of phi1 in phi2 49.967 * [backup-simplify]: Simplify phi1 into phi1 49.968 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 49.968 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 49.968 * [taylor]: Taking taylor expansion of phi2 in phi2 49.968 * [backup-simplify]: Simplify 0 into 0 49.968 * [backup-simplify]: Simplify 1 into 1 49.968 * [backup-simplify]: Simplify (/ 1 1) into 1 49.968 * [backup-simplify]: Simplify (+ 0 1) into 1 49.969 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 49.969 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 49.969 * [backup-simplify]: Simplify (+ 0) into 0 49.970 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 49.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 49.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 49.971 * [backup-simplify]: Simplify (+ 0 0) into 0 49.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 49.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 49.972 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 49.973 * [backup-simplify]: Simplify (- 0) into 0 49.973 * [backup-simplify]: Simplify (+ 0 0) into 0 49.974 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.974 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 49.974 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 49.974 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 49.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 49.975 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 49.976 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.977 * [backup-simplify]: Simplify (+ 0 0) into 0 49.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 49.980 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 49.981 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 49.981 * [backup-simplify]: Simplify (- 0) into 0 49.982 * [backup-simplify]: Simplify (+ 0 0) into 0 49.983 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 49.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 49.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 49.986 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 49.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 49.986 * [backup-simplify]: Simplify (+ 0 0) into 0 49.987 * [backup-simplify]: Simplify (+ 0 0) into 0 49.987 * [backup-simplify]: Simplify (+ 0 0) into 0 49.987 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 49.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 49.988 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 49.989 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 49.990 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 49.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 49.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 49.990 * [backup-simplify]: Simplify (+ 0 0) into 0 49.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 49.992 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 49.993 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 49.993 * [backup-simplify]: Simplify (- 0) into 0 49.993 * [backup-simplify]: Simplify (+ 0 0) into 0 49.994 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 49.995 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 49.995 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 49.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 49.997 * [backup-simplify]: Simplify (+ 0 0) into 0 49.997 * [backup-simplify]: Simplify (- 0) into 0 49.997 * [backup-simplify]: Simplify (+ 0 0) into 0 49.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 49.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 49.999 * [taylor]: Taking taylor expansion of 1/2 in lambda2 49.999 * [backup-simplify]: Simplify 1/2 into 1/2 49.999 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 49.999 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 49.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 49.999 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 49.999 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 49.999 * [taylor]: Taking taylor expansion of lambda2 in lambda2 49.999 * [backup-simplify]: Simplify 0 into 0 49.999 * [backup-simplify]: Simplify 1 into 1 49.999 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 49.999 * [taylor]: Taking taylor expansion of phi2 in lambda2 49.999 * [backup-simplify]: Simplify phi2 into phi2 49.999 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 49.999 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 49.999 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 50.000 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 50.000 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 50.000 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 50.000 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 50.000 * [taylor]: Taking taylor expansion of lambda2 in lambda2 50.000 * [backup-simplify]: Simplify 0 into 0 50.000 * [backup-simplify]: Simplify 1 into 1 50.000 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 50.000 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.000 * [backup-simplify]: Simplify phi1 into phi1 50.000 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 50.000 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 50.000 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 50.001 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 50.001 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 50.001 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 50.001 * [taylor]: Taking taylor expansion of 2 in lambda2 50.001 * [backup-simplify]: Simplify 2 into 2 50.001 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 50.001 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 50.001 * [taylor]: Taking taylor expansion of lambda2 in lambda2 50.001 * [backup-simplify]: Simplify 0 into 0 50.001 * [backup-simplify]: Simplify 1 into 1 50.001 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 50.001 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.001 * [backup-simplify]: Simplify phi1 into phi1 50.001 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.001 * [backup-simplify]: Simplify phi2 into phi2 50.001 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 50.001 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 50.001 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 50.002 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 50.002 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 50.002 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 50.002 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 50.002 * [taylor]: Taking taylor expansion of 1/2 in lambda2 50.002 * [backup-simplify]: Simplify 1/2 into 1/2 50.002 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 50.002 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 50.002 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.002 * [backup-simplify]: Simplify phi1 into phi1 50.002 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.002 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 50.002 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.002 * [backup-simplify]: Simplify phi2 into phi2 50.002 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.002 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.003 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.003 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.003 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.003 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 50.003 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 50.003 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 50.003 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 50.004 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.004 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.004 * [backup-simplify]: Simplify (- 0) into 0 50.004 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.005 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.005 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.005 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 50.005 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.005 * [backup-simplify]: Simplify 1/2 into 1/2 50.005 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 50.005 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 50.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 50.005 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 50.006 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 50.006 * [taylor]: Taking taylor expansion of phi2 in phi1 50.006 * [backup-simplify]: Simplify phi2 into phi2 50.006 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 50.006 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 50.006 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 50.006 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 50.006 * [taylor]: Taking taylor expansion of phi1 in phi1 50.006 * [backup-simplify]: Simplify 0 into 0 50.006 * [backup-simplify]: Simplify 1 into 1 50.006 * [backup-simplify]: Simplify (* 1 1) into 1 50.007 * [backup-simplify]: Simplify (/ 1 1) into 1 50.007 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 50.007 * [taylor]: Taking taylor expansion of 2 in phi1 50.007 * [backup-simplify]: Simplify 2 into 2 50.007 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 50.007 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 50.007 * [taylor]: Taking taylor expansion of phi1 in phi1 50.007 * [backup-simplify]: Simplify 0 into 0 50.007 * [backup-simplify]: Simplify 1 into 1 50.007 * [taylor]: Taking taylor expansion of phi2 in phi1 50.007 * [backup-simplify]: Simplify phi2 into phi2 50.007 * [backup-simplify]: Simplify (* 0 phi2) into 0 50.007 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 50.007 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.007 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.008 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.008 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.008 * [backup-simplify]: Simplify 1/2 into 1/2 50.008 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.008 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.008 * [taylor]: Taking taylor expansion of phi1 in phi1 50.008 * [backup-simplify]: Simplify 0 into 0 50.008 * [backup-simplify]: Simplify 1 into 1 50.008 * [backup-simplify]: Simplify (/ 1 1) into 1 50.008 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.008 * [taylor]: Taking taylor expansion of phi2 in phi1 50.008 * [backup-simplify]: Simplify phi2 into phi2 50.008 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.009 * [backup-simplify]: Simplify (+ 1 0) into 1 50.009 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.009 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.010 * [backup-simplify]: Simplify (+ 0 1) into 1 50.010 * [backup-simplify]: Simplify (+ 1 0) into 1 50.010 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 50.012 * [backup-simplify]: Simplify (+ 0 0) into 0 50.012 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 50.012 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 50.012 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 50.013 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 50.013 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 50.013 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 50.013 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 50.013 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 50.013 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.013 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.013 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.013 * [backup-simplify]: Simplify 1/2 into 1/2 50.014 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.014 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.014 * [taylor]: Taking taylor expansion of phi1 in phi2 50.014 * [backup-simplify]: Simplify phi1 into phi1 50.014 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.014 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.014 * [taylor]: Taking taylor expansion of phi2 in phi2 50.014 * [backup-simplify]: Simplify 0 into 0 50.014 * [backup-simplify]: Simplify 1 into 1 50.014 * [backup-simplify]: Simplify (/ 1 1) into 1 50.015 * [backup-simplify]: Simplify (+ 0 1) into 1 50.015 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.015 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.015 * [taylor]: Taking taylor expansion of phi2 in phi2 50.015 * [backup-simplify]: Simplify 0 into 0 50.015 * [backup-simplify]: Simplify 1 into 1 50.015 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.016 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.016 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.016 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.016 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.017 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 50.017 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.017 * [backup-simplify]: Simplify 1/2 into 1/2 50.017 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 50.017 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 50.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 50.017 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 50.017 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 50.017 * [taylor]: Taking taylor expansion of phi2 in phi1 50.017 * [backup-simplify]: Simplify phi2 into phi2 50.017 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 50.017 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 50.017 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 50.018 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 50.018 * [taylor]: Taking taylor expansion of phi1 in phi1 50.018 * [backup-simplify]: Simplify 0 into 0 50.018 * [backup-simplify]: Simplify 1 into 1 50.018 * [backup-simplify]: Simplify (* 1 1) into 1 50.018 * [backup-simplify]: Simplify (/ 1 1) into 1 50.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 50.018 * [taylor]: Taking taylor expansion of 2 in phi1 50.018 * [backup-simplify]: Simplify 2 into 2 50.018 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 50.019 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 50.019 * [taylor]: Taking taylor expansion of phi1 in phi1 50.019 * [backup-simplify]: Simplify 0 into 0 50.019 * [backup-simplify]: Simplify 1 into 1 50.019 * [taylor]: Taking taylor expansion of phi2 in phi1 50.019 * [backup-simplify]: Simplify phi2 into phi2 50.019 * [backup-simplify]: Simplify (* 0 phi2) into 0 50.019 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 50.019 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.019 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.019 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.019 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.019 * [backup-simplify]: Simplify 1/2 into 1/2 50.019 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.019 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.019 * [taylor]: Taking taylor expansion of phi1 in phi1 50.019 * [backup-simplify]: Simplify 0 into 0 50.019 * [backup-simplify]: Simplify 1 into 1 50.020 * [backup-simplify]: Simplify (/ 1 1) into 1 50.020 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.020 * [taylor]: Taking taylor expansion of phi2 in phi1 50.020 * [backup-simplify]: Simplify phi2 into phi2 50.020 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.020 * [backup-simplify]: Simplify (+ 1 0) into 1 50.021 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.021 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.021 * [backup-simplify]: Simplify (+ 0 1) into 1 50.022 * [backup-simplify]: Simplify (+ 1 0) into 1 50.022 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 50.024 * [backup-simplify]: Simplify (+ 0 0) into 0 50.024 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 50.024 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 50.024 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 50.025 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 50.025 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 50.025 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 50.025 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 50.025 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 50.025 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.025 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.025 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.025 * [backup-simplify]: Simplify 1/2 into 1/2 50.025 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.025 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.025 * [taylor]: Taking taylor expansion of phi1 in phi2 50.025 * [backup-simplify]: Simplify phi1 into phi1 50.025 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.025 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.025 * [taylor]: Taking taylor expansion of phi2 in phi2 50.026 * [backup-simplify]: Simplify 0 into 0 50.026 * [backup-simplify]: Simplify 1 into 1 50.026 * [backup-simplify]: Simplify (/ 1 1) into 1 50.026 * [backup-simplify]: Simplify (+ 0 1) into 1 50.027 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.027 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.027 * [taylor]: Taking taylor expansion of phi2 in phi2 50.027 * [backup-simplify]: Simplify 0 into 0 50.027 * [backup-simplify]: Simplify 1 into 1 50.027 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.028 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.028 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.028 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.028 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.029 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.030 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 50.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 50.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 50.031 * [backup-simplify]: Simplify (+ 0 0) into 0 50.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 50.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.033 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 50.033 * [backup-simplify]: Simplify (- 0) into 0 50.034 * [backup-simplify]: Simplify (+ 0 0) into 0 50.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.036 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 50.036 * [taylor]: Taking taylor expansion of 0 in phi1 50.036 * [backup-simplify]: Simplify 0 into 0 50.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.038 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 50.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 50.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 50.039 * [backup-simplify]: Simplify (+ 0 0) into 0 50.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 50.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.041 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 50.042 * [backup-simplify]: Simplify (- 0) into 0 50.042 * [backup-simplify]: Simplify (+ 0 0) into 0 50.042 * [taylor]: Taking taylor expansion of 0 in phi1 50.042 * [backup-simplify]: Simplify 0 into 0 50.042 * [taylor]: Taking taylor expansion of 0 in phi2 50.042 * [backup-simplify]: Simplify 0 into 0 50.042 * [taylor]: Taking taylor expansion of 0 in phi2 50.042 * [backup-simplify]: Simplify 0 into 0 50.043 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 50.043 * [taylor]: Taking taylor expansion of 0 in phi2 50.043 * [backup-simplify]: Simplify 0 into 0 50.043 * [taylor]: Taking taylor expansion of 0 in phi2 50.043 * [backup-simplify]: Simplify 0 into 0 50.043 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.044 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.045 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 50.047 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cbrt (* (* (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) 50.047 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0 50.047 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 50.047 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 50.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 50.047 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 50.047 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 50.047 * [taylor]: Taking taylor expansion of phi2 in phi2 50.047 * [backup-simplify]: Simplify 0 into 0 50.047 * [backup-simplify]: Simplify 1 into 1 50.048 * [backup-simplify]: Simplify (* 1 1) into 1 50.048 * [backup-simplify]: Simplify (/ 1 1) into 1 50.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 50.048 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 50.048 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 50.048 * [taylor]: Taking taylor expansion of phi1 in phi2 50.048 * [backup-simplify]: Simplify phi1 into phi1 50.049 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 50.049 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 50.049 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 50.049 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 50.049 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 50.049 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.049 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.049 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.049 * [backup-simplify]: Simplify -1/2 into -1/2 50.049 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.049 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.049 * [taylor]: Taking taylor expansion of phi1 in phi2 50.049 * [backup-simplify]: Simplify phi1 into phi1 50.049 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.049 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.049 * [taylor]: Taking taylor expansion of phi2 in phi2 50.049 * [backup-simplify]: Simplify 0 into 0 50.049 * [backup-simplify]: Simplify 1 into 1 50.050 * [backup-simplify]: Simplify (/ 1 1) into 1 50.050 * [backup-simplify]: Simplify (+ 0 1) into 1 50.050 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.051 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.051 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 50.051 * [taylor]: Taking taylor expansion of lambda1 in phi2 50.051 * [backup-simplify]: Simplify lambda1 into lambda1 50.051 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.051 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 50.051 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 50.051 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 50.051 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 50.051 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.051 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.051 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.052 * [backup-simplify]: Simplify -1/2 into -1/2 50.052 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.052 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.052 * [taylor]: Taking taylor expansion of phi1 in phi2 50.052 * [backup-simplify]: Simplify phi1 into phi1 50.052 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.052 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.052 * [taylor]: Taking taylor expansion of phi2 in phi2 50.052 * [backup-simplify]: Simplify 0 into 0 50.052 * [backup-simplify]: Simplify 1 into 1 50.052 * [backup-simplify]: Simplify (/ 1 1) into 1 50.053 * [backup-simplify]: Simplify (+ 0 1) into 1 50.053 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.053 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.053 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 50.053 * [taylor]: Taking taylor expansion of lambda2 in phi2 50.053 * [backup-simplify]: Simplify lambda2 into lambda2 50.054 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.054 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 50.054 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 50.054 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 50.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 50.054 * [taylor]: Taking taylor expansion of 2 in phi2 50.054 * [backup-simplify]: Simplify 2 into 2 50.054 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 50.054 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 50.054 * [taylor]: Taking taylor expansion of phi1 in phi2 50.054 * [backup-simplify]: Simplify phi1 into phi1 50.054 * [taylor]: Taking taylor expansion of phi2 in phi2 50.054 * [backup-simplify]: Simplify 0 into 0 50.054 * [backup-simplify]: Simplify 1 into 1 50.054 * [backup-simplify]: Simplify (* phi1 0) into 0 50.055 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 50.055 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.055 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 50.055 * [taylor]: Taking taylor expansion of 2 in phi2 50.055 * [backup-simplify]: Simplify 2 into 2 50.055 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 50.055 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 50.055 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.055 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.055 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.055 * [backup-simplify]: Simplify -1/2 into -1/2 50.055 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.055 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.055 * [taylor]: Taking taylor expansion of phi1 in phi2 50.055 * [backup-simplify]: Simplify phi1 into phi1 50.055 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.055 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.055 * [taylor]: Taking taylor expansion of phi2 in phi2 50.055 * [backup-simplify]: Simplify 0 into 0 50.055 * [backup-simplify]: Simplify 1 into 1 50.056 * [backup-simplify]: Simplify (/ 1 1) into 1 50.056 * [backup-simplify]: Simplify (+ 0 1) into 1 50.057 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.057 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.057 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 50.057 * [taylor]: Taking taylor expansion of lambda1 in phi2 50.057 * [backup-simplify]: Simplify lambda1 into lambda1 50.057 * [taylor]: Taking taylor expansion of lambda2 in phi2 50.057 * [backup-simplify]: Simplify lambda2 into lambda2 50.057 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.057 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 50.058 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 50.058 * [backup-simplify]: Simplify (+ 1 0) into 1 50.059 * [backup-simplify]: Simplify (+ 1 0) into 1 50.059 * [backup-simplify]: Simplify (sqrt 1) into 1 50.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 50.062 * [backup-simplify]: Simplify (+ 0 0) into 0 50.062 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 50.062 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 50.062 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 50.062 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 50.063 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 50.063 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 50.063 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 50.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 50.063 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 50.063 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 50.063 * [taylor]: Taking taylor expansion of phi2 in phi1 50.063 * [backup-simplify]: Simplify phi2 into phi2 50.063 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 50.063 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 50.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 50.063 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 50.063 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 50.063 * [taylor]: Taking taylor expansion of phi1 in phi1 50.063 * [backup-simplify]: Simplify 0 into 0 50.063 * [backup-simplify]: Simplify 1 into 1 50.064 * [backup-simplify]: Simplify (* 1 1) into 1 50.064 * [backup-simplify]: Simplify (/ 1 1) into 1 50.064 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 50.064 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 50.064 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 50.064 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.064 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.064 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.064 * [backup-simplify]: Simplify -1/2 into -1/2 50.064 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.064 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.064 * [taylor]: Taking taylor expansion of phi1 in phi1 50.064 * [backup-simplify]: Simplify 0 into 0 50.064 * [backup-simplify]: Simplify 1 into 1 50.065 * [backup-simplify]: Simplify (/ 1 1) into 1 50.065 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.065 * [taylor]: Taking taylor expansion of phi2 in phi1 50.065 * [backup-simplify]: Simplify phi2 into phi2 50.065 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.065 * [backup-simplify]: Simplify (+ 1 0) into 1 50.066 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.066 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.066 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 50.066 * [taylor]: Taking taylor expansion of lambda1 in phi1 50.066 * [backup-simplify]: Simplify lambda1 into lambda1 50.066 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.066 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 50.067 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 50.067 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 50.067 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 50.067 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.067 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.067 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.067 * [backup-simplify]: Simplify -1/2 into -1/2 50.067 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.067 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.067 * [taylor]: Taking taylor expansion of phi1 in phi1 50.067 * [backup-simplify]: Simplify 0 into 0 50.067 * [backup-simplify]: Simplify 1 into 1 50.067 * [backup-simplify]: Simplify (/ 1 1) into 1 50.067 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.067 * [taylor]: Taking taylor expansion of phi2 in phi1 50.067 * [backup-simplify]: Simplify phi2 into phi2 50.067 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.068 * [backup-simplify]: Simplify (+ 1 0) into 1 50.068 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.068 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.068 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 50.068 * [taylor]: Taking taylor expansion of lambda2 in phi1 50.068 * [backup-simplify]: Simplify lambda2 into lambda2 50.069 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.069 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 50.069 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 50.069 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 50.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 50.069 * [taylor]: Taking taylor expansion of 2 in phi1 50.069 * [backup-simplify]: Simplify 2 into 2 50.069 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 50.069 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 50.069 * [taylor]: Taking taylor expansion of phi1 in phi1 50.069 * [backup-simplify]: Simplify 0 into 0 50.069 * [backup-simplify]: Simplify 1 into 1 50.069 * [taylor]: Taking taylor expansion of phi2 in phi1 50.069 * [backup-simplify]: Simplify phi2 into phi2 50.069 * [backup-simplify]: Simplify (* 0 phi2) into 0 50.070 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 50.070 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.070 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 50.070 * [taylor]: Taking taylor expansion of 2 in phi1 50.070 * [backup-simplify]: Simplify 2 into 2 50.070 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 50.070 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 50.070 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.070 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.070 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.070 * [backup-simplify]: Simplify -1/2 into -1/2 50.070 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.070 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.070 * [taylor]: Taking taylor expansion of phi1 in phi1 50.070 * [backup-simplify]: Simplify 0 into 0 50.070 * [backup-simplify]: Simplify 1 into 1 50.071 * [backup-simplify]: Simplify (/ 1 1) into 1 50.071 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.071 * [taylor]: Taking taylor expansion of phi2 in phi1 50.071 * [backup-simplify]: Simplify phi2 into phi2 50.071 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.071 * [backup-simplify]: Simplify (+ 1 0) into 1 50.072 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.072 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.072 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 50.072 * [taylor]: Taking taylor expansion of lambda1 in phi1 50.072 * [backup-simplify]: Simplify lambda1 into lambda1 50.072 * [taylor]: Taking taylor expansion of lambda2 in phi1 50.072 * [backup-simplify]: Simplify lambda2 into lambda2 50.072 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.072 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 50.073 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 50.073 * [backup-simplify]: Simplify (+ 1 0) into 1 50.073 * [backup-simplify]: Simplify (+ 0 1) into 1 50.074 * [backup-simplify]: Simplify (+ 1 0) into 1 50.074 * [backup-simplify]: Simplify (sqrt 1) into 1 50.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 50.076 * [backup-simplify]: Simplify (+ 0 0) into 0 50.076 * [backup-simplify]: Simplify (+ 0 0) into 0 50.076 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 50.077 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 50.077 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 50.077 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 50.077 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 50.077 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 50.077 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 50.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 50.078 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 50.078 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 50.078 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.078 * [backup-simplify]: Simplify phi2 into phi2 50.078 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 50.078 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 50.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 50.078 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 50.078 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 50.078 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.078 * [backup-simplify]: Simplify phi1 into phi1 50.078 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 50.078 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 50.078 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 50.078 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 50.078 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 50.078 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 50.078 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 50.078 * [taylor]: Taking taylor expansion of -1/2 in lambda2 50.078 * [backup-simplify]: Simplify -1/2 into -1/2 50.078 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 50.078 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 50.078 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.078 * [backup-simplify]: Simplify phi1 into phi1 50.078 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.079 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 50.079 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.079 * [backup-simplify]: Simplify phi2 into phi2 50.079 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.079 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.079 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.079 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.079 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.079 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.079 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.080 * [backup-simplify]: Simplify (- 0) into 0 50.080 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.080 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 50.080 * [taylor]: Taking taylor expansion of lambda1 in lambda2 50.080 * [backup-simplify]: Simplify lambda1 into lambda1 50.080 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.080 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 50.081 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 50.081 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 50.081 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 50.081 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 50.081 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 50.081 * [taylor]: Taking taylor expansion of -1/2 in lambda2 50.081 * [backup-simplify]: Simplify -1/2 into -1/2 50.081 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 50.081 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 50.081 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.081 * [backup-simplify]: Simplify phi1 into phi1 50.081 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.081 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 50.081 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.081 * [backup-simplify]: Simplify phi2 into phi2 50.081 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.081 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.081 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.081 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.082 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.082 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.082 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.082 * [backup-simplify]: Simplify (- 0) into 0 50.083 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.083 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 50.083 * [taylor]: Taking taylor expansion of lambda2 in lambda2 50.083 * [backup-simplify]: Simplify 0 into 0 50.083 * [backup-simplify]: Simplify 1 into 1 50.083 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.083 * [backup-simplify]: Simplify (* 1 1) into 1 50.084 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.084 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 50.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 50.084 * [taylor]: Taking taylor expansion of 2 in lambda2 50.084 * [backup-simplify]: Simplify 2 into 2 50.084 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 50.084 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 50.084 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.084 * [backup-simplify]: Simplify phi1 into phi1 50.084 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.084 * [backup-simplify]: Simplify phi2 into phi2 50.084 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 50.084 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 50.084 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 50.084 * [taylor]: Taking taylor expansion of 2 in lambda2 50.084 * [backup-simplify]: Simplify 2 into 2 50.084 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 50.084 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 50.084 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 50.084 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 50.084 * [taylor]: Taking taylor expansion of -1/2 in lambda2 50.084 * [backup-simplify]: Simplify -1/2 into -1/2 50.084 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 50.084 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 50.084 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.084 * [backup-simplify]: Simplify phi1 into phi1 50.084 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.084 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 50.084 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.084 * [backup-simplify]: Simplify phi2 into phi2 50.085 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.085 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.085 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.085 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.085 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.085 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.085 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.086 * [backup-simplify]: Simplify (- 0) into 0 50.086 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.086 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 50.086 * [taylor]: Taking taylor expansion of lambda1 in lambda2 50.086 * [backup-simplify]: Simplify lambda1 into lambda1 50.086 * [taylor]: Taking taylor expansion of lambda2 in lambda2 50.086 * [backup-simplify]: Simplify 0 into 0 50.086 * [backup-simplify]: Simplify 1 into 1 50.086 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.086 * [backup-simplify]: Simplify (* lambda1 0) into 0 50.087 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 50.087 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 50.087 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.087 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.088 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.088 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.088 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.088 * [backup-simplify]: Simplify (+ 0) into 0 50.089 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 50.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 50.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 50.090 * [backup-simplify]: Simplify (+ 0 0) into 0 50.091 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 50.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.092 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 50.092 * [backup-simplify]: Simplify (- 0) into 0 50.093 * [backup-simplify]: Simplify (+ 0 0) into 0 50.093 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 50.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 50.095 * [backup-simplify]: Simplify (+ 0 0) into 0 50.095 * [backup-simplify]: Simplify (+ 0 0) into 0 50.096 * [backup-simplify]: Simplify (+ 0 0) into 0 50.096 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 50.096 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 50.097 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 50.097 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 50.098 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 50.098 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 50.098 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 50.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 50.098 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 50.098 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 50.098 * [taylor]: Taking taylor expansion of phi2 in lambda1 50.098 * [backup-simplify]: Simplify phi2 into phi2 50.098 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 50.098 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 50.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 50.098 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 50.098 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 50.098 * [taylor]: Taking taylor expansion of phi1 in lambda1 50.098 * [backup-simplify]: Simplify phi1 into phi1 50.098 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 50.098 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 50.098 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 50.098 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 50.098 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 50.098 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 50.098 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 50.099 * [taylor]: Taking taylor expansion of -1/2 in lambda1 50.099 * [backup-simplify]: Simplify -1/2 into -1/2 50.099 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 50.099 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 50.099 * [taylor]: Taking taylor expansion of phi1 in lambda1 50.099 * [backup-simplify]: Simplify phi1 into phi1 50.099 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.099 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 50.099 * [taylor]: Taking taylor expansion of phi2 in lambda1 50.099 * [backup-simplify]: Simplify phi2 into phi2 50.099 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.099 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.099 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.099 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.099 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.099 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.100 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.100 * [backup-simplify]: Simplify (- 0) into 0 50.100 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.100 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 50.100 * [taylor]: Taking taylor expansion of lambda1 in lambda1 50.100 * [backup-simplify]: Simplify 0 into 0 50.100 * [backup-simplify]: Simplify 1 into 1 50.101 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.101 * [backup-simplify]: Simplify (* 1 1) into 1 50.101 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.101 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 50.101 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 50.101 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 50.101 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 50.101 * [taylor]: Taking taylor expansion of -1/2 in lambda1 50.101 * [backup-simplify]: Simplify -1/2 into -1/2 50.101 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 50.101 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 50.101 * [taylor]: Taking taylor expansion of phi1 in lambda1 50.102 * [backup-simplify]: Simplify phi1 into phi1 50.102 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.102 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 50.102 * [taylor]: Taking taylor expansion of phi2 in lambda1 50.102 * [backup-simplify]: Simplify phi2 into phi2 50.102 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.102 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.102 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.102 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.102 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.102 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.103 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.103 * [backup-simplify]: Simplify (- 0) into 0 50.103 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.103 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 50.103 * [taylor]: Taking taylor expansion of lambda2 in lambda1 50.103 * [backup-simplify]: Simplify lambda2 into lambda2 50.103 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.104 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 50.104 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 50.104 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 50.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 50.104 * [taylor]: Taking taylor expansion of 2 in lambda1 50.104 * [backup-simplify]: Simplify 2 into 2 50.104 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 50.104 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 50.104 * [taylor]: Taking taylor expansion of phi1 in lambda1 50.104 * [backup-simplify]: Simplify phi1 into phi1 50.104 * [taylor]: Taking taylor expansion of phi2 in lambda1 50.104 * [backup-simplify]: Simplify phi2 into phi2 50.104 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 50.104 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 50.104 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 50.104 * [taylor]: Taking taylor expansion of 2 in lambda1 50.104 * [backup-simplify]: Simplify 2 into 2 50.104 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 50.104 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 50.104 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 50.104 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 50.104 * [taylor]: Taking taylor expansion of -1/2 in lambda1 50.104 * [backup-simplify]: Simplify -1/2 into -1/2 50.104 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 50.105 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 50.105 * [taylor]: Taking taylor expansion of phi1 in lambda1 50.105 * [backup-simplify]: Simplify phi1 into phi1 50.105 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.105 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 50.105 * [taylor]: Taking taylor expansion of phi2 in lambda1 50.105 * [backup-simplify]: Simplify phi2 into phi2 50.105 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.105 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.105 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.105 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.105 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.105 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.106 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.106 * [backup-simplify]: Simplify (- 0) into 0 50.106 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.106 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 50.106 * [taylor]: Taking taylor expansion of lambda1 in lambda1 50.106 * [backup-simplify]: Simplify 0 into 0 50.106 * [backup-simplify]: Simplify 1 into 1 50.106 * [taylor]: Taking taylor expansion of lambda2 in lambda1 50.106 * [backup-simplify]: Simplify lambda2 into lambda2 50.107 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.107 * [backup-simplify]: Simplify (* 0 lambda2) into 0 50.107 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 50.107 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 50.107 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.108 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.108 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.108 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.108 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.113 * [backup-simplify]: Simplify (+ 0) into 0 50.114 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 50.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 50.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 50.115 * [backup-simplify]: Simplify (+ 0 0) into 0 50.115 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 50.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.117 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 50.117 * [backup-simplify]: Simplify (- 0) into 0 50.118 * [backup-simplify]: Simplify (+ 0 0) into 0 50.118 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 50.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 50.120 * [backup-simplify]: Simplify (+ 0 0) into 0 50.120 * [backup-simplify]: Simplify (+ 0 0) into 0 50.121 * [backup-simplify]: Simplify (+ 0 0) into 0 50.121 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 50.121 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 50.122 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 50.122 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 50.123 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 50.123 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 50.123 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 50.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 50.123 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 50.123 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 50.123 * [taylor]: Taking taylor expansion of phi2 in lambda1 50.123 * [backup-simplify]: Simplify phi2 into phi2 50.123 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 50.123 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 50.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 50.123 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 50.123 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 50.123 * [taylor]: Taking taylor expansion of phi1 in lambda1 50.123 * [backup-simplify]: Simplify phi1 into phi1 50.123 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 50.123 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 50.123 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 50.123 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 50.123 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 50.123 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 50.123 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 50.123 * [taylor]: Taking taylor expansion of -1/2 in lambda1 50.123 * [backup-simplify]: Simplify -1/2 into -1/2 50.123 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 50.123 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 50.123 * [taylor]: Taking taylor expansion of phi1 in lambda1 50.123 * [backup-simplify]: Simplify phi1 into phi1 50.124 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.124 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 50.124 * [taylor]: Taking taylor expansion of phi2 in lambda1 50.124 * [backup-simplify]: Simplify phi2 into phi2 50.124 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.124 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.124 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.124 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.124 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.124 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.124 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.125 * [backup-simplify]: Simplify (- 0) into 0 50.125 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.125 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 50.125 * [taylor]: Taking taylor expansion of lambda1 in lambda1 50.125 * [backup-simplify]: Simplify 0 into 0 50.125 * [backup-simplify]: Simplify 1 into 1 50.125 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.126 * [backup-simplify]: Simplify (* 1 1) into 1 50.126 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.126 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 50.126 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 50.126 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 50.126 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 50.126 * [taylor]: Taking taylor expansion of -1/2 in lambda1 50.126 * [backup-simplify]: Simplify -1/2 into -1/2 50.126 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 50.126 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 50.126 * [taylor]: Taking taylor expansion of phi1 in lambda1 50.126 * [backup-simplify]: Simplify phi1 into phi1 50.126 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.126 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 50.126 * [taylor]: Taking taylor expansion of phi2 in lambda1 50.127 * [backup-simplify]: Simplify phi2 into phi2 50.127 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.127 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.127 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.127 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.127 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.127 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.127 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.128 * [backup-simplify]: Simplify (- 0) into 0 50.128 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.128 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 50.128 * [taylor]: Taking taylor expansion of lambda2 in lambda1 50.128 * [backup-simplify]: Simplify lambda2 into lambda2 50.128 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.129 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 50.129 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 50.129 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 50.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 50.129 * [taylor]: Taking taylor expansion of 2 in lambda1 50.129 * [backup-simplify]: Simplify 2 into 2 50.129 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 50.129 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 50.129 * [taylor]: Taking taylor expansion of phi1 in lambda1 50.129 * [backup-simplify]: Simplify phi1 into phi1 50.129 * [taylor]: Taking taylor expansion of phi2 in lambda1 50.129 * [backup-simplify]: Simplify phi2 into phi2 50.129 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 50.129 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 50.129 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 50.129 * [taylor]: Taking taylor expansion of 2 in lambda1 50.129 * [backup-simplify]: Simplify 2 into 2 50.129 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 50.129 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 50.129 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 50.129 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 50.129 * [taylor]: Taking taylor expansion of -1/2 in lambda1 50.129 * [backup-simplify]: Simplify -1/2 into -1/2 50.129 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 50.129 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 50.129 * [taylor]: Taking taylor expansion of phi1 in lambda1 50.130 * [backup-simplify]: Simplify phi1 into phi1 50.130 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.130 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 50.130 * [taylor]: Taking taylor expansion of phi2 in lambda1 50.130 * [backup-simplify]: Simplify phi2 into phi2 50.130 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.130 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.130 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.130 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.130 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.130 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.130 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.131 * [backup-simplify]: Simplify (- 0) into 0 50.131 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.131 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 50.131 * [taylor]: Taking taylor expansion of lambda1 in lambda1 50.131 * [backup-simplify]: Simplify 0 into 0 50.131 * [backup-simplify]: Simplify 1 into 1 50.131 * [taylor]: Taking taylor expansion of lambda2 in lambda1 50.131 * [backup-simplify]: Simplify lambda2 into lambda2 50.131 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.131 * [backup-simplify]: Simplify (* 0 lambda2) into 0 50.132 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 50.132 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 50.132 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.132 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.133 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.133 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 50.133 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.133 * [backup-simplify]: Simplify (+ 0) into 0 50.134 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 50.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 50.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 50.135 * [backup-simplify]: Simplify (+ 0 0) into 0 50.135 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 50.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.137 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 50.137 * [backup-simplify]: Simplify (- 0) into 0 50.137 * [backup-simplify]: Simplify (+ 0 0) into 0 50.138 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 50.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 50.140 * [backup-simplify]: Simplify (+ 0 0) into 0 50.140 * [backup-simplify]: Simplify (+ 0 0) into 0 50.140 * [backup-simplify]: Simplify (+ 0 0) into 0 50.141 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 50.142 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 50.142 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 50.142 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 50.143 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 50.143 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 50.143 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 50.143 * [taylor]: Taking taylor expansion of -1/2 in lambda2 50.143 * [backup-simplify]: Simplify -1/2 into -1/2 50.143 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 50.143 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 50.143 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.143 * [backup-simplify]: Simplify phi1 into phi1 50.143 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.143 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 50.143 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.143 * [backup-simplify]: Simplify phi2 into phi2 50.144 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.144 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.144 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.144 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.144 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.144 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 50.144 * [taylor]: Taking taylor expansion of -1 in lambda2 50.144 * [backup-simplify]: Simplify -1 into -1 50.144 * [taylor]: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 50.144 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 50.144 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 50.144 * [taylor]: Taking taylor expansion of -1/2 in lambda2 50.144 * [backup-simplify]: Simplify -1/2 into -1/2 50.144 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 50.144 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 50.144 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.144 * [backup-simplify]: Simplify phi1 into phi1 50.145 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.145 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 50.145 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.145 * [backup-simplify]: Simplify phi2 into phi2 50.145 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.145 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.145 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.145 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.145 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.145 * [taylor]: Taking taylor expansion of lambda2 in lambda2 50.145 * [backup-simplify]: Simplify 0 into 0 50.145 * [backup-simplify]: Simplify 1 into 1 50.145 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.146 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.146 * [backup-simplify]: Simplify (- 0) into 0 50.146 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.146 * [backup-simplify]: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.147 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.147 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 50.147 * [taylor]: Taking taylor expansion of -1 in phi1 50.147 * [backup-simplify]: Simplify -1 into -1 50.147 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.147 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.147 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.147 * [backup-simplify]: Simplify -1/2 into -1/2 50.147 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.147 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.147 * [taylor]: Taking taylor expansion of phi1 in phi1 50.147 * [backup-simplify]: Simplify 0 into 0 50.147 * [backup-simplify]: Simplify 1 into 1 50.147 * [backup-simplify]: Simplify (/ 1 1) into 1 50.147 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.147 * [taylor]: Taking taylor expansion of phi2 in phi1 50.147 * [backup-simplify]: Simplify phi2 into phi2 50.147 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.148 * [backup-simplify]: Simplify (+ 1 0) into 1 50.148 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.148 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.149 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.149 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.149 * [backup-simplify]: Simplify (- 0) into 0 50.149 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.149 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.149 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.149 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.149 * [backup-simplify]: Simplify -1/2 into -1/2 50.149 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.149 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.150 * [taylor]: Taking taylor expansion of phi1 in phi1 50.150 * [backup-simplify]: Simplify 0 into 0 50.150 * [backup-simplify]: Simplify 1 into 1 50.150 * [backup-simplify]: Simplify (/ 1 1) into 1 50.150 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.150 * [taylor]: Taking taylor expansion of phi2 in phi1 50.150 * [backup-simplify]: Simplify phi2 into phi2 50.151 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.151 * [backup-simplify]: Simplify (+ 1 0) into 1 50.151 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.152 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.152 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.153 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 50.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 50.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 50.153 * [backup-simplify]: Simplify (+ 0 0) into 0 50.154 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 50.155 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.155 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 50.155 * [backup-simplify]: Simplify (- 0) into 0 50.156 * [backup-simplify]: Simplify (+ 0 0) into 0 50.156 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 50.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 50.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.158 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 50.158 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 50.159 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 50.159 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 50.159 * [backup-simplify]: Simplify (+ 0) into 0 50.159 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 50.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 50.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 50.160 * [backup-simplify]: Simplify (+ 0 0) into 0 50.160 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 50.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.161 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 50.161 * [backup-simplify]: Simplify (- 0) into 0 50.161 * [backup-simplify]: Simplify (+ 0 0) into 0 50.161 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 50.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 50.162 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 50.163 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 50.163 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 50.163 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 50.163 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 50.164 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 50.164 * [taylor]: Taking taylor expansion of 1/2 in lambda2 50.164 * [backup-simplify]: Simplify 1/2 into 1/2 50.164 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 50.164 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 50.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 50.164 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 50.164 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 50.164 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.164 * [backup-simplify]: Simplify phi2 into phi2 50.164 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 50.164 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 50.164 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 50.164 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 50.164 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.164 * [backup-simplify]: Simplify phi1 into phi1 50.164 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 50.164 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 50.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 50.164 * [taylor]: Taking taylor expansion of 2 in lambda2 50.164 * [backup-simplify]: Simplify 2 into 2 50.164 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 50.165 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 50.165 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.165 * [backup-simplify]: Simplify phi1 into phi1 50.165 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.165 * [backup-simplify]: Simplify phi2 into phi2 50.165 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 50.165 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 50.165 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 50.165 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 50.165 * [taylor]: Taking taylor expansion of -1/2 in lambda2 50.165 * [backup-simplify]: Simplify -1/2 into -1/2 50.165 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 50.165 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 50.165 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.165 * [backup-simplify]: Simplify phi1 into phi1 50.165 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.165 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 50.165 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.165 * [backup-simplify]: Simplify phi2 into phi2 50.165 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.165 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.165 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.165 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.165 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.165 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 50.165 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 50.165 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 50.166 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 50.166 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.166 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.166 * [backup-simplify]: Simplify (- 0) into 0 50.166 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.166 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.167 * [backup-simplify]: Simplify (+ 0) into 0 50.167 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 50.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 50.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 50.167 * [backup-simplify]: Simplify (+ 0 0) into 0 50.168 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 50.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.168 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 50.169 * [backup-simplify]: Simplify (- 0) into 0 50.169 * [backup-simplify]: Simplify (+ 0 0) into 0 50.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 50.170 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 50.170 * [taylor]: Taking taylor expansion of 0 in phi1 50.170 * [backup-simplify]: Simplify 0 into 0 50.170 * [backup-simplify]: Simplify (+ 0) into 0 50.171 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 50.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 50.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 50.171 * [backup-simplify]: Simplify (+ 0 0) into 0 50.171 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 50.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.172 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 50.172 * [backup-simplify]: Simplify (- 0) into 0 50.173 * [backup-simplify]: Simplify (+ 0 0) into 0 50.173 * [taylor]: Taking taylor expansion of 0 in phi1 50.173 * [backup-simplify]: Simplify 0 into 0 50.173 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.173 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 50.173 * [taylor]: Taking taylor expansion of -1 in phi2 50.173 * [backup-simplify]: Simplify -1 into -1 50.173 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.173 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.173 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.173 * [backup-simplify]: Simplify -1/2 into -1/2 50.173 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.173 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.173 * [taylor]: Taking taylor expansion of phi1 in phi2 50.173 * [backup-simplify]: Simplify phi1 into phi1 50.173 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.173 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.173 * [taylor]: Taking taylor expansion of phi2 in phi2 50.173 * [backup-simplify]: Simplify 0 into 0 50.173 * [backup-simplify]: Simplify 1 into 1 50.173 * [backup-simplify]: Simplify (/ 1 1) into 1 50.174 * [backup-simplify]: Simplify (+ 0 1) into 1 50.174 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.174 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.174 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.174 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.174 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.174 * [backup-simplify]: Simplify -1/2 into -1/2 50.174 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.174 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.174 * [taylor]: Taking taylor expansion of phi1 in phi2 50.174 * [backup-simplify]: Simplify phi1 into phi1 50.174 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.174 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.174 * [taylor]: Taking taylor expansion of phi2 in phi2 50.174 * [backup-simplify]: Simplify 0 into 0 50.174 * [backup-simplify]: Simplify 1 into 1 50.174 * [backup-simplify]: Simplify (/ 1 1) into 1 50.175 * [backup-simplify]: Simplify (+ 0 1) into 1 50.175 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.175 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.175 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 50.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 50.175 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 50.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 50.176 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 50.177 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 50.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 50.177 * [backup-simplify]: Simplify (+ 0 0) into 0 50.178 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 50.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 50.179 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 50.179 * [backup-simplify]: Simplify (- 0) into 0 50.180 * [backup-simplify]: Simplify (+ 0 0) into 0 50.180 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 50.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 50.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.184 * [backup-simplify]: Simplify (+ 0) into 0 50.184 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 50.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 50.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 50.185 * [backup-simplify]: Simplify (+ 0 0) into 0 50.186 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 50.186 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 50.187 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 50.187 * [backup-simplify]: Simplify (- 0) into 0 50.188 * [backup-simplify]: Simplify (+ 0 0) into 0 50.188 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 50.188 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 50.188 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 50.189 * [backup-simplify]: Simplify (+ 0 0) into 0 50.189 * [backup-simplify]: Simplify (+ 0 0) into 0 50.189 * [backup-simplify]: Simplify (+ 0 0) into 0 50.190 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 50.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 50.190 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 50.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.192 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 50.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 50.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 50.193 * [backup-simplify]: Simplify (+ 0 0) into 0 50.194 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 50.194 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.195 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 50.195 * [backup-simplify]: Simplify (- 0) into 0 50.196 * [backup-simplify]: Simplify (+ 0 0) into 0 50.196 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 50.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0 50.198 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 50.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 50.199 * [backup-simplify]: Simplify (+ 0 0) into 0 50.200 * [backup-simplify]: Simplify (- 0) into 0 50.200 * [backup-simplify]: Simplify (+ 0 0) into 0 50.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 50.201 * [taylor]: Taking taylor expansion of 1/2 in lambda2 50.201 * [backup-simplify]: Simplify 1/2 into 1/2 50.201 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 50.201 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 50.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 50.201 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 50.201 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 50.202 * [taylor]: Taking taylor expansion of lambda2 in lambda2 50.202 * [backup-simplify]: Simplify 0 into 0 50.202 * [backup-simplify]: Simplify 1 into 1 50.202 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 50.202 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.202 * [backup-simplify]: Simplify phi2 into phi2 50.202 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 50.202 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 50.202 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 50.202 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 50.202 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 50.202 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 50.202 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 50.203 * [taylor]: Taking taylor expansion of lambda2 in lambda2 50.203 * [backup-simplify]: Simplify 0 into 0 50.203 * [backup-simplify]: Simplify 1 into 1 50.203 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 50.203 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.203 * [backup-simplify]: Simplify phi1 into phi1 50.203 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 50.203 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 50.203 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 50.203 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 50.203 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 50.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 50.203 * [taylor]: Taking taylor expansion of 2 in lambda2 50.203 * [backup-simplify]: Simplify 2 into 2 50.204 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 50.204 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 50.204 * [taylor]: Taking taylor expansion of lambda2 in lambda2 50.204 * [backup-simplify]: Simplify 0 into 0 50.204 * [backup-simplify]: Simplify 1 into 1 50.204 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 50.204 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.204 * [backup-simplify]: Simplify phi1 into phi1 50.204 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.204 * [backup-simplify]: Simplify phi2 into phi2 50.204 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 50.204 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 50.204 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 50.204 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 50.204 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 50.204 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 50.204 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 50.204 * [taylor]: Taking taylor expansion of -1/2 in lambda2 50.205 * [backup-simplify]: Simplify -1/2 into -1/2 50.205 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 50.205 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 50.205 * [taylor]: Taking taylor expansion of phi1 in lambda2 50.205 * [backup-simplify]: Simplify phi1 into phi1 50.205 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.205 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 50.205 * [taylor]: Taking taylor expansion of phi2 in lambda2 50.205 * [backup-simplify]: Simplify phi2 into phi2 50.205 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.205 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 50.205 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 50.205 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.205 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.206 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 50.206 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 50.206 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 50.206 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 50.206 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.206 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.207 * [backup-simplify]: Simplify (- 0) into 0 50.207 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.207 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.208 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 50.208 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.208 * [backup-simplify]: Simplify 1/2 into 1/2 50.208 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 50.208 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 50.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 50.208 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 50.208 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 50.208 * [taylor]: Taking taylor expansion of phi2 in phi1 50.208 * [backup-simplify]: Simplify phi2 into phi2 50.208 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 50.208 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 50.208 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 50.208 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 50.208 * [taylor]: Taking taylor expansion of phi1 in phi1 50.208 * [backup-simplify]: Simplify 0 into 0 50.208 * [backup-simplify]: Simplify 1 into 1 50.209 * [backup-simplify]: Simplify (* 1 1) into 1 50.209 * [backup-simplify]: Simplify (/ 1 1) into 1 50.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 50.209 * [taylor]: Taking taylor expansion of 2 in phi1 50.209 * [backup-simplify]: Simplify 2 into 2 50.209 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 50.209 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 50.209 * [taylor]: Taking taylor expansion of phi1 in phi1 50.209 * [backup-simplify]: Simplify 0 into 0 50.209 * [backup-simplify]: Simplify 1 into 1 50.209 * [taylor]: Taking taylor expansion of phi2 in phi1 50.209 * [backup-simplify]: Simplify phi2 into phi2 50.210 * [backup-simplify]: Simplify (* 0 phi2) into 0 50.210 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 50.210 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.210 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.210 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.210 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.210 * [backup-simplify]: Simplify -1/2 into -1/2 50.210 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.210 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.211 * [taylor]: Taking taylor expansion of phi1 in phi1 50.211 * [backup-simplify]: Simplify 0 into 0 50.211 * [backup-simplify]: Simplify 1 into 1 50.211 * [backup-simplify]: Simplify (/ 1 1) into 1 50.211 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.211 * [taylor]: Taking taylor expansion of phi2 in phi1 50.211 * [backup-simplify]: Simplify phi2 into phi2 50.211 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.212 * [backup-simplify]: Simplify (+ 1 0) into 1 50.212 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.212 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.213 * [backup-simplify]: Simplify (+ 0 1) into 1 50.213 * [backup-simplify]: Simplify (+ 1 0) into 1 50.213 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 50.215 * [backup-simplify]: Simplify (+ 0 0) into 0 50.215 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 50.215 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 50.215 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 50.216 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 50.216 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 50.216 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 50.216 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 50.216 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 50.216 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.216 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.216 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.216 * [backup-simplify]: Simplify -1/2 into -1/2 50.216 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.216 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.216 * [taylor]: Taking taylor expansion of phi1 in phi2 50.217 * [backup-simplify]: Simplify phi1 into phi1 50.217 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.217 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.217 * [taylor]: Taking taylor expansion of phi2 in phi2 50.217 * [backup-simplify]: Simplify 0 into 0 50.217 * [backup-simplify]: Simplify 1 into 1 50.217 * [backup-simplify]: Simplify (/ 1 1) into 1 50.217 * [backup-simplify]: Simplify (+ 0 1) into 1 50.218 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.218 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.218 * [taylor]: Taking taylor expansion of phi2 in phi2 50.218 * [backup-simplify]: Simplify 0 into 0 50.218 * [backup-simplify]: Simplify 1 into 1 50.218 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.219 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.219 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.219 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.219 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.220 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 50.220 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.220 * [backup-simplify]: Simplify 1/2 into 1/2 50.220 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 50.220 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 50.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 50.220 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 50.220 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 50.220 * [taylor]: Taking taylor expansion of phi2 in phi1 50.220 * [backup-simplify]: Simplify phi2 into phi2 50.220 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 50.220 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 50.220 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 50.220 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 50.220 * [taylor]: Taking taylor expansion of phi1 in phi1 50.220 * [backup-simplify]: Simplify 0 into 0 50.220 * [backup-simplify]: Simplify 1 into 1 50.221 * [backup-simplify]: Simplify (* 1 1) into 1 50.221 * [backup-simplify]: Simplify (/ 1 1) into 1 50.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 50.221 * [taylor]: Taking taylor expansion of 2 in phi1 50.221 * [backup-simplify]: Simplify 2 into 2 50.221 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 50.221 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 50.221 * [taylor]: Taking taylor expansion of phi1 in phi1 50.221 * [backup-simplify]: Simplify 0 into 0 50.221 * [backup-simplify]: Simplify 1 into 1 50.221 * [taylor]: Taking taylor expansion of phi2 in phi1 50.221 * [backup-simplify]: Simplify phi2 into phi2 50.221 * [backup-simplify]: Simplify (* 0 phi2) into 0 50.222 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 50.222 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.222 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.222 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.222 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.222 * [backup-simplify]: Simplify -1/2 into -1/2 50.222 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.222 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.222 * [taylor]: Taking taylor expansion of phi1 in phi1 50.222 * [backup-simplify]: Simplify 0 into 0 50.222 * [backup-simplify]: Simplify 1 into 1 50.223 * [backup-simplify]: Simplify (/ 1 1) into 1 50.223 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.223 * [taylor]: Taking taylor expansion of phi2 in phi1 50.223 * [backup-simplify]: Simplify phi2 into phi2 50.223 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.223 * [backup-simplify]: Simplify (+ 1 0) into 1 50.224 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.224 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.224 * [backup-simplify]: Simplify (+ 0 1) into 1 50.224 * [backup-simplify]: Simplify (+ 1 0) into 1 50.224 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 50.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 50.226 * [backup-simplify]: Simplify (+ 0 0) into 0 50.226 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 50.226 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 50.226 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 50.226 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 50.226 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 50.226 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 50.226 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 50.226 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 50.226 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.226 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.226 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.226 * [backup-simplify]: Simplify -1/2 into -1/2 50.226 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.226 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.226 * [taylor]: Taking taylor expansion of phi1 in phi2 50.226 * [backup-simplify]: Simplify phi1 into phi1 50.226 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.226 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.227 * [taylor]: Taking taylor expansion of phi2 in phi2 50.227 * [backup-simplify]: Simplify 0 into 0 50.227 * [backup-simplify]: Simplify 1 into 1 50.227 * [backup-simplify]: Simplify (/ 1 1) into 1 50.227 * [backup-simplify]: Simplify (+ 0 1) into 1 50.227 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.227 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.227 * [taylor]: Taking taylor expansion of phi2 in phi2 50.227 * [backup-simplify]: Simplify 0 into 0 50.227 * [backup-simplify]: Simplify 1 into 1 50.228 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 50.228 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.228 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.228 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.228 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 50.229 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.229 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 50.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 50.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 50.230 * [backup-simplify]: Simplify (+ 0 0) into 0 50.230 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 50.231 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.231 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 50.231 * [backup-simplify]: Simplify (- 0) into 0 50.231 * [backup-simplify]: Simplify (+ 0 0) into 0 50.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 50.233 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 50.233 * [taylor]: Taking taylor expansion of 0 in phi1 50.233 * [backup-simplify]: Simplify 0 into 0 50.234 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 50.238 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 50.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 50.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 50.239 * [backup-simplify]: Simplify (+ 0 0) into 0 50.240 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 50.240 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.241 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 50.241 * [backup-simplify]: Simplify (- 0) into 0 50.241 * [backup-simplify]: Simplify (+ 0 0) into 0 50.241 * [taylor]: Taking taylor expansion of 0 in phi1 50.241 * [backup-simplify]: Simplify 0 into 0 50.241 * [taylor]: Taking taylor expansion of 0 in phi2 50.241 * [backup-simplify]: Simplify 0 into 0 50.241 * [taylor]: Taking taylor expansion of 0 in phi2 50.241 * [backup-simplify]: Simplify 0 into 0 50.242 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 50.242 * [taylor]: Taking taylor expansion of 0 in phi2 50.242 * [backup-simplify]: Simplify 0 into 0 50.242 * [taylor]: Taking taylor expansion of 0 in phi2 50.242 * [backup-simplify]: Simplify 0 into 0 50.242 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.242 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 50.243 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 50.243 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2 1 2) 50.243 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 50.243 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 50.243 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 50.243 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 50.243 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.243 * [backup-simplify]: Simplify 1/2 into 1/2 50.243 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 50.243 * [taylor]: Taking taylor expansion of phi1 in phi2 50.243 * [backup-simplify]: Simplify phi1 into phi1 50.243 * [taylor]: Taking taylor expansion of phi2 in phi2 50.243 * [backup-simplify]: Simplify 0 into 0 50.243 * [backup-simplify]: Simplify 1 into 1 50.243 * [backup-simplify]: Simplify (+ phi1 0) into phi1 50.243 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 50.243 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 50.243 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 50.243 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 50.243 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 50.243 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.243 * [backup-simplify]: Simplify 1/2 into 1/2 50.243 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 50.243 * [taylor]: Taking taylor expansion of phi1 in phi1 50.243 * [backup-simplify]: Simplify 0 into 0 50.243 * [backup-simplify]: Simplify 1 into 1 50.243 * [taylor]: Taking taylor expansion of phi2 in phi1 50.243 * [backup-simplify]: Simplify phi2 into phi2 50.243 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 50.244 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 50.244 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 50.244 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 50.244 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 50.244 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 50.244 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.244 * [backup-simplify]: Simplify 1/2 into 1/2 50.244 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 50.244 * [taylor]: Taking taylor expansion of phi1 in phi1 50.244 * [backup-simplify]: Simplify 0 into 0 50.244 * [backup-simplify]: Simplify 1 into 1 50.244 * [taylor]: Taking taylor expansion of phi2 in phi1 50.244 * [backup-simplify]: Simplify phi2 into phi2 50.244 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 50.244 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 50.244 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 50.244 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 50.244 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 50.244 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 50.244 * [backup-simplify]: Simplify (- 0) into 0 50.244 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 50.244 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 50.244 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 50.244 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.244 * [backup-simplify]: Simplify 1/2 into 1/2 50.244 * [taylor]: Taking taylor expansion of phi2 in phi2 50.244 * [backup-simplify]: Simplify 0 into 0 50.244 * [backup-simplify]: Simplify 1 into 1 50.245 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.245 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.245 * [backup-simplify]: Simplify 1 into 1 50.245 * [backup-simplify]: Simplify (+ 0) into 0 50.246 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 50.246 * [backup-simplify]: Simplify (+ 1 0) into 1 50.246 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 50.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 50.247 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 50.247 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 50.247 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 50.247 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 50.247 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 50.247 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.247 * [backup-simplify]: Simplify 1/2 into 1/2 50.247 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 50.247 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 50.247 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.247 * [backup-simplify]: Simplify 1/2 into 1/2 50.247 * [taylor]: Taking taylor expansion of phi2 in phi2 50.247 * [backup-simplify]: Simplify 0 into 0 50.247 * [backup-simplify]: Simplify 1 into 1 50.248 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.248 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.249 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.249 * [backup-simplify]: Simplify (- 0) into 0 50.249 * [backup-simplify]: Simplify 0 into 0 50.249 * [backup-simplify]: Simplify (+ 0) into 0 50.250 * [backup-simplify]: Simplify 0 into 0 50.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.251 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 50.252 * [backup-simplify]: Simplify (+ 0 0) into 0 50.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 50.253 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.254 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 50.255 * [backup-simplify]: Simplify (- 0) into 0 50.255 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 50.255 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 50.255 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 50.255 * [taylor]: Taking taylor expansion of 1/8 in phi2 50.255 * [backup-simplify]: Simplify 1/8 into 1/8 50.255 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 50.255 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 50.255 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.255 * [backup-simplify]: Simplify 1/2 into 1/2 50.255 * [taylor]: Taking taylor expansion of phi2 in phi2 50.255 * [backup-simplify]: Simplify 0 into 0 50.255 * [backup-simplify]: Simplify 1 into 1 50.255 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.256 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.257 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 50.257 * [backup-simplify]: Simplify (- 1/8) into -1/8 50.257 * [backup-simplify]: Simplify -1/8 into -1/8 50.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 50.259 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 50.259 * [backup-simplify]: Simplify (- 1/4) into -1/4 50.259 * [backup-simplify]: Simplify -1/4 into -1/4 50.259 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 50.260 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.260 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 50.260 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.260 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.260 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.260 * [backup-simplify]: Simplify 1/2 into 1/2 50.260 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.260 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.260 * [taylor]: Taking taylor expansion of phi1 in phi2 50.260 * [backup-simplify]: Simplify phi1 into phi1 50.260 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.260 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.260 * [taylor]: Taking taylor expansion of phi2 in phi2 50.260 * [backup-simplify]: Simplify 0 into 0 50.260 * [backup-simplify]: Simplify 1 into 1 50.261 * [backup-simplify]: Simplify (/ 1 1) into 1 50.261 * [backup-simplify]: Simplify (+ 0 1) into 1 50.261 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.262 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.262 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.262 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.262 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.262 * [backup-simplify]: Simplify 1/2 into 1/2 50.262 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.262 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.262 * [taylor]: Taking taylor expansion of phi1 in phi1 50.262 * [backup-simplify]: Simplify 0 into 0 50.262 * [backup-simplify]: Simplify 1 into 1 50.262 * [backup-simplify]: Simplify (/ 1 1) into 1 50.262 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.262 * [taylor]: Taking taylor expansion of phi2 in phi1 50.262 * [backup-simplify]: Simplify phi2 into phi2 50.262 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.263 * [backup-simplify]: Simplify (+ 1 0) into 1 50.263 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.263 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.263 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.263 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.264 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.264 * [backup-simplify]: Simplify 1/2 into 1/2 50.264 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.264 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.264 * [taylor]: Taking taylor expansion of phi1 in phi1 50.264 * [backup-simplify]: Simplify 0 into 0 50.264 * [backup-simplify]: Simplify 1 into 1 50.264 * [backup-simplify]: Simplify (/ 1 1) into 1 50.264 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.264 * [taylor]: Taking taylor expansion of phi2 in phi1 50.264 * [backup-simplify]: Simplify phi2 into phi2 50.264 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.265 * [backup-simplify]: Simplify (+ 1 0) into 1 50.265 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.265 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.265 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.265 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.265 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.266 * [backup-simplify]: Simplify 1/2 into 1/2 50.266 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.266 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.266 * [taylor]: Taking taylor expansion of phi1 in phi2 50.266 * [backup-simplify]: Simplify phi1 into phi1 50.266 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.266 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.266 * [taylor]: Taking taylor expansion of phi2 in phi2 50.266 * [backup-simplify]: Simplify 0 into 0 50.266 * [backup-simplify]: Simplify 1 into 1 50.266 * [backup-simplify]: Simplify (/ 1 1) into 1 50.267 * [backup-simplify]: Simplify (+ 0 1) into 1 50.267 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.267 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.267 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.267 * [taylor]: Taking taylor expansion of 0 in phi2 50.267 * [backup-simplify]: Simplify 0 into 0 50.267 * [backup-simplify]: Simplify 0 into 0 50.268 * [backup-simplify]: Simplify 0 into 0 50.268 * [taylor]: Taking taylor expansion of 0 in phi2 50.268 * [backup-simplify]: Simplify 0 into 0 50.268 * [backup-simplify]: Simplify 0 into 0 50.268 * [backup-simplify]: Simplify 0 into 0 50.268 * [backup-simplify]: Simplify 0 into 0 50.268 * [taylor]: Taking taylor expansion of 0 in phi2 50.268 * [backup-simplify]: Simplify 0 into 0 50.268 * [backup-simplify]: Simplify 0 into 0 50.268 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 50.268 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.268 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 50.268 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.268 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.268 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.268 * [backup-simplify]: Simplify -1/2 into -1/2 50.268 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.268 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.268 * [taylor]: Taking taylor expansion of phi1 in phi2 50.268 * [backup-simplify]: Simplify phi1 into phi1 50.269 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.269 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.269 * [taylor]: Taking taylor expansion of phi2 in phi2 50.269 * [backup-simplify]: Simplify 0 into 0 50.269 * [backup-simplify]: Simplify 1 into 1 50.269 * [backup-simplify]: Simplify (/ 1 1) into 1 50.269 * [backup-simplify]: Simplify (+ 0 1) into 1 50.270 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.270 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.270 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.270 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.270 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.270 * [backup-simplify]: Simplify -1/2 into -1/2 50.270 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.270 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.270 * [taylor]: Taking taylor expansion of phi1 in phi1 50.270 * [backup-simplify]: Simplify 0 into 0 50.270 * [backup-simplify]: Simplify 1 into 1 50.271 * [backup-simplify]: Simplify (/ 1 1) into 1 50.271 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.271 * [taylor]: Taking taylor expansion of phi2 in phi1 50.271 * [backup-simplify]: Simplify phi2 into phi2 50.271 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.272 * [backup-simplify]: Simplify (+ 1 0) into 1 50.273 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.273 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.273 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.273 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.273 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.273 * [backup-simplify]: Simplify -1/2 into -1/2 50.273 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.273 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.273 * [taylor]: Taking taylor expansion of phi1 in phi1 50.273 * [backup-simplify]: Simplify 0 into 0 50.273 * [backup-simplify]: Simplify 1 into 1 50.274 * [backup-simplify]: Simplify (/ 1 1) into 1 50.274 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.274 * [taylor]: Taking taylor expansion of phi2 in phi1 50.274 * [backup-simplify]: Simplify phi2 into phi2 50.274 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.274 * [backup-simplify]: Simplify (+ 1 0) into 1 50.275 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.275 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.275 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.275 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.275 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.275 * [backup-simplify]: Simplify -1/2 into -1/2 50.275 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.275 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.275 * [taylor]: Taking taylor expansion of phi1 in phi2 50.275 * [backup-simplify]: Simplify phi1 into phi1 50.275 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.275 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.276 * [taylor]: Taking taylor expansion of phi2 in phi2 50.276 * [backup-simplify]: Simplify 0 into 0 50.276 * [backup-simplify]: Simplify 1 into 1 50.276 * [backup-simplify]: Simplify (/ 1 1) into 1 50.276 * [backup-simplify]: Simplify (+ 0 1) into 1 50.277 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.277 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.277 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.277 * [taylor]: Taking taylor expansion of 0 in phi2 50.277 * [backup-simplify]: Simplify 0 into 0 50.277 * [backup-simplify]: Simplify 0 into 0 50.277 * [backup-simplify]: Simplify 0 into 0 50.277 * [taylor]: Taking taylor expansion of 0 in phi2 50.277 * [backup-simplify]: Simplify 0 into 0 50.277 * [backup-simplify]: Simplify 0 into 0 50.277 * [backup-simplify]: Simplify 0 into 0 50.277 * [backup-simplify]: Simplify 0 into 0 50.278 * [taylor]: Taking taylor expansion of 0 in phi2 50.278 * [backup-simplify]: Simplify 0 into 0 50.278 * [backup-simplify]: Simplify 0 into 0 50.278 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 50.278 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2 1 1 2) 50.278 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 50.278 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 50.278 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 50.278 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 50.278 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.278 * [backup-simplify]: Simplify 1/2 into 1/2 50.278 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 50.278 * [taylor]: Taking taylor expansion of phi1 in phi2 50.278 * [backup-simplify]: Simplify phi1 into phi1 50.278 * [taylor]: Taking taylor expansion of phi2 in phi2 50.278 * [backup-simplify]: Simplify 0 into 0 50.278 * [backup-simplify]: Simplify 1 into 1 50.278 * [backup-simplify]: Simplify (+ phi1 0) into phi1 50.278 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 50.278 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 50.279 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 50.279 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 50.279 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 50.279 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.279 * [backup-simplify]: Simplify 1/2 into 1/2 50.279 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 50.279 * [taylor]: Taking taylor expansion of phi1 in phi1 50.279 * [backup-simplify]: Simplify 0 into 0 50.279 * [backup-simplify]: Simplify 1 into 1 50.279 * [taylor]: Taking taylor expansion of phi2 in phi1 50.279 * [backup-simplify]: Simplify phi2 into phi2 50.279 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 50.279 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 50.279 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 50.279 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 50.279 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 50.279 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 50.279 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.279 * [backup-simplify]: Simplify 1/2 into 1/2 50.279 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 50.279 * [taylor]: Taking taylor expansion of phi1 in phi1 50.279 * [backup-simplify]: Simplify 0 into 0 50.279 * [backup-simplify]: Simplify 1 into 1 50.279 * [taylor]: Taking taylor expansion of phi2 in phi1 50.279 * [backup-simplify]: Simplify phi2 into phi2 50.279 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 50.279 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 50.279 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 50.279 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 50.280 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 50.280 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 50.280 * [backup-simplify]: Simplify (- 0) into 0 50.280 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 50.280 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 50.280 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 50.280 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.280 * [backup-simplify]: Simplify 1/2 into 1/2 50.280 * [taylor]: Taking taylor expansion of phi2 in phi2 50.280 * [backup-simplify]: Simplify 0 into 0 50.280 * [backup-simplify]: Simplify 1 into 1 50.281 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.281 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.282 * [backup-simplify]: Simplify 1 into 1 50.282 * [backup-simplify]: Simplify (+ 0) into 0 50.282 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 50.283 * [backup-simplify]: Simplify (+ 1 0) into 1 50.283 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 50.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 50.285 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 50.285 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 50.285 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 50.285 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 50.285 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 50.285 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.285 * [backup-simplify]: Simplify 1/2 into 1/2 50.285 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 50.285 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 50.285 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.285 * [backup-simplify]: Simplify 1/2 into 1/2 50.285 * [taylor]: Taking taylor expansion of phi2 in phi2 50.285 * [backup-simplify]: Simplify 0 into 0 50.285 * [backup-simplify]: Simplify 1 into 1 50.286 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.286 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.287 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.287 * [backup-simplify]: Simplify (- 0) into 0 50.287 * [backup-simplify]: Simplify 0 into 0 50.288 * [backup-simplify]: Simplify (+ 0) into 0 50.288 * [backup-simplify]: Simplify 0 into 0 50.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.289 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 50.290 * [backup-simplify]: Simplify (+ 0 0) into 0 50.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 50.291 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.292 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 50.292 * [backup-simplify]: Simplify (- 0) into 0 50.293 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 50.293 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 50.293 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 50.293 * [taylor]: Taking taylor expansion of 1/8 in phi2 50.293 * [backup-simplify]: Simplify 1/8 into 1/8 50.293 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 50.293 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 50.293 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.293 * [backup-simplify]: Simplify 1/2 into 1/2 50.293 * [taylor]: Taking taylor expansion of phi2 in phi2 50.293 * [backup-simplify]: Simplify 0 into 0 50.293 * [backup-simplify]: Simplify 1 into 1 50.293 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.294 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.295 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 50.295 * [backup-simplify]: Simplify (- 1/8) into -1/8 50.295 * [backup-simplify]: Simplify -1/8 into -1/8 50.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 50.296 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 50.297 * [backup-simplify]: Simplify (- 1/4) into -1/4 50.297 * [backup-simplify]: Simplify -1/4 into -1/4 50.297 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 50.297 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.297 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 50.297 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.297 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.298 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.298 * [backup-simplify]: Simplify 1/2 into 1/2 50.298 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.298 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.298 * [taylor]: Taking taylor expansion of phi1 in phi2 50.298 * [backup-simplify]: Simplify phi1 into phi1 50.298 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.298 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.298 * [taylor]: Taking taylor expansion of phi2 in phi2 50.298 * [backup-simplify]: Simplify 0 into 0 50.298 * [backup-simplify]: Simplify 1 into 1 50.298 * [backup-simplify]: Simplify (/ 1 1) into 1 50.299 * [backup-simplify]: Simplify (+ 0 1) into 1 50.299 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.299 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.299 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.299 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.299 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.299 * [backup-simplify]: Simplify 1/2 into 1/2 50.299 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.299 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.299 * [taylor]: Taking taylor expansion of phi1 in phi1 50.299 * [backup-simplify]: Simplify 0 into 0 50.300 * [backup-simplify]: Simplify 1 into 1 50.300 * [backup-simplify]: Simplify (/ 1 1) into 1 50.300 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.300 * [taylor]: Taking taylor expansion of phi2 in phi1 50.300 * [backup-simplify]: Simplify phi2 into phi2 50.300 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.301 * [backup-simplify]: Simplify (+ 1 0) into 1 50.301 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.301 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.301 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.301 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.301 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.301 * [backup-simplify]: Simplify 1/2 into 1/2 50.301 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.301 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.301 * [taylor]: Taking taylor expansion of phi1 in phi1 50.301 * [backup-simplify]: Simplify 0 into 0 50.301 * [backup-simplify]: Simplify 1 into 1 50.302 * [backup-simplify]: Simplify (/ 1 1) into 1 50.302 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.302 * [taylor]: Taking taylor expansion of phi2 in phi1 50.302 * [backup-simplify]: Simplify phi2 into phi2 50.302 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.302 * [backup-simplify]: Simplify (+ 1 0) into 1 50.303 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.303 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.303 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.303 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.303 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.303 * [backup-simplify]: Simplify 1/2 into 1/2 50.303 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.303 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.303 * [taylor]: Taking taylor expansion of phi1 in phi2 50.303 * [backup-simplify]: Simplify phi1 into phi1 50.303 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.303 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.303 * [taylor]: Taking taylor expansion of phi2 in phi2 50.303 * [backup-simplify]: Simplify 0 into 0 50.303 * [backup-simplify]: Simplify 1 into 1 50.304 * [backup-simplify]: Simplify (/ 1 1) into 1 50.304 * [backup-simplify]: Simplify (+ 0 1) into 1 50.304 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.305 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.305 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.305 * [taylor]: Taking taylor expansion of 0 in phi2 50.305 * [backup-simplify]: Simplify 0 into 0 50.305 * [backup-simplify]: Simplify 0 into 0 50.305 * [backup-simplify]: Simplify 0 into 0 50.305 * [taylor]: Taking taylor expansion of 0 in phi2 50.305 * [backup-simplify]: Simplify 0 into 0 50.305 * [backup-simplify]: Simplify 0 into 0 50.305 * [backup-simplify]: Simplify 0 into 0 50.305 * [backup-simplify]: Simplify 0 into 0 50.305 * [taylor]: Taking taylor expansion of 0 in phi2 50.305 * [backup-simplify]: Simplify 0 into 0 50.305 * [backup-simplify]: Simplify 0 into 0 50.305 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 50.306 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.306 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 50.306 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.306 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.306 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.306 * [backup-simplify]: Simplify -1/2 into -1/2 50.306 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.306 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.306 * [taylor]: Taking taylor expansion of phi1 in phi2 50.306 * [backup-simplify]: Simplify phi1 into phi1 50.306 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.306 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.306 * [taylor]: Taking taylor expansion of phi2 in phi2 50.306 * [backup-simplify]: Simplify 0 into 0 50.306 * [backup-simplify]: Simplify 1 into 1 50.306 * [backup-simplify]: Simplify (/ 1 1) into 1 50.307 * [backup-simplify]: Simplify (+ 0 1) into 1 50.307 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.307 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.308 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.308 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.308 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.308 * [backup-simplify]: Simplify -1/2 into -1/2 50.308 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.308 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.308 * [taylor]: Taking taylor expansion of phi1 in phi1 50.308 * [backup-simplify]: Simplify 0 into 0 50.308 * [backup-simplify]: Simplify 1 into 1 50.308 * [backup-simplify]: Simplify (/ 1 1) into 1 50.308 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.308 * [taylor]: Taking taylor expansion of phi2 in phi1 50.308 * [backup-simplify]: Simplify phi2 into phi2 50.308 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.309 * [backup-simplify]: Simplify (+ 1 0) into 1 50.309 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.309 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.309 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.309 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.309 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.309 * [backup-simplify]: Simplify -1/2 into -1/2 50.309 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.309 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.309 * [taylor]: Taking taylor expansion of phi1 in phi1 50.309 * [backup-simplify]: Simplify 0 into 0 50.310 * [backup-simplify]: Simplify 1 into 1 50.310 * [backup-simplify]: Simplify (/ 1 1) into 1 50.310 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.310 * [taylor]: Taking taylor expansion of phi2 in phi1 50.310 * [backup-simplify]: Simplify phi2 into phi2 50.310 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.310 * [backup-simplify]: Simplify (+ 1 0) into 1 50.311 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.311 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.311 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.311 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.311 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.311 * [backup-simplify]: Simplify -1/2 into -1/2 50.311 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.311 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.311 * [taylor]: Taking taylor expansion of phi1 in phi2 50.311 * [backup-simplify]: Simplify phi1 into phi1 50.311 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.311 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.311 * [taylor]: Taking taylor expansion of phi2 in phi2 50.311 * [backup-simplify]: Simplify 0 into 0 50.311 * [backup-simplify]: Simplify 1 into 1 50.312 * [backup-simplify]: Simplify (/ 1 1) into 1 50.312 * [backup-simplify]: Simplify (+ 0 1) into 1 50.313 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.313 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.313 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.313 * [taylor]: Taking taylor expansion of 0 in phi2 50.313 * [backup-simplify]: Simplify 0 into 0 50.313 * [backup-simplify]: Simplify 0 into 0 50.313 * [backup-simplify]: Simplify 0 into 0 50.313 * [taylor]: Taking taylor expansion of 0 in phi2 50.313 * [backup-simplify]: Simplify 0 into 0 50.313 * [backup-simplify]: Simplify 0 into 0 50.313 * [backup-simplify]: Simplify 0 into 0 50.313 * [backup-simplify]: Simplify 0 into 0 50.313 * [taylor]: Taking taylor expansion of 0 in phi2 50.313 * [backup-simplify]: Simplify 0 into 0 50.313 * [backup-simplify]: Simplify 0 into 0 50.313 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 50.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2 1 1 1) 50.314 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 50.314 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 50.314 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 50.314 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 50.314 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.314 * [backup-simplify]: Simplify 1/2 into 1/2 50.314 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 50.314 * [taylor]: Taking taylor expansion of phi1 in phi2 50.314 * [backup-simplify]: Simplify phi1 into phi1 50.314 * [taylor]: Taking taylor expansion of phi2 in phi2 50.314 * [backup-simplify]: Simplify 0 into 0 50.314 * [backup-simplify]: Simplify 1 into 1 50.314 * [backup-simplify]: Simplify (+ phi1 0) into phi1 50.314 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 50.314 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 50.314 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 50.314 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 50.314 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 50.314 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.314 * [backup-simplify]: Simplify 1/2 into 1/2 50.314 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 50.314 * [taylor]: Taking taylor expansion of phi1 in phi1 50.314 * [backup-simplify]: Simplify 0 into 0 50.314 * [backup-simplify]: Simplify 1 into 1 50.314 * [taylor]: Taking taylor expansion of phi2 in phi1 50.315 * [backup-simplify]: Simplify phi2 into phi2 50.315 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 50.315 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 50.315 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 50.315 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 50.315 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 50.315 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 50.315 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.315 * [backup-simplify]: Simplify 1/2 into 1/2 50.315 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 50.315 * [taylor]: Taking taylor expansion of phi1 in phi1 50.315 * [backup-simplify]: Simplify 0 into 0 50.315 * [backup-simplify]: Simplify 1 into 1 50.315 * [taylor]: Taking taylor expansion of phi2 in phi1 50.315 * [backup-simplify]: Simplify phi2 into phi2 50.315 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 50.315 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 50.315 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 50.315 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 50.315 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 50.315 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 50.316 * [backup-simplify]: Simplify (- 0) into 0 50.316 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 50.316 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 50.316 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 50.316 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.316 * [backup-simplify]: Simplify 1/2 into 1/2 50.316 * [taylor]: Taking taylor expansion of phi2 in phi2 50.316 * [backup-simplify]: Simplify 0 into 0 50.316 * [backup-simplify]: Simplify 1 into 1 50.317 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.317 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.317 * [backup-simplify]: Simplify 1 into 1 50.318 * [backup-simplify]: Simplify (+ 0) into 0 50.318 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 50.319 * [backup-simplify]: Simplify (+ 1 0) into 1 50.319 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 50.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 50.320 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 50.321 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 50.321 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 50.321 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 50.321 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 50.321 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.321 * [backup-simplify]: Simplify 1/2 into 1/2 50.321 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 50.321 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 50.321 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.321 * [backup-simplify]: Simplify 1/2 into 1/2 50.321 * [taylor]: Taking taylor expansion of phi2 in phi2 50.321 * [backup-simplify]: Simplify 0 into 0 50.321 * [backup-simplify]: Simplify 1 into 1 50.321 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.322 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.322 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.323 * [backup-simplify]: Simplify (- 0) into 0 50.323 * [backup-simplify]: Simplify 0 into 0 50.323 * [backup-simplify]: Simplify (+ 0) into 0 50.323 * [backup-simplify]: Simplify 0 into 0 50.324 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 50.325 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 50.326 * [backup-simplify]: Simplify (+ 0 0) into 0 50.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 50.327 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 50.328 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 50.328 * [backup-simplify]: Simplify (- 0) into 0 50.329 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 50.329 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 50.329 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 50.329 * [taylor]: Taking taylor expansion of 1/8 in phi2 50.329 * [backup-simplify]: Simplify 1/8 into 1/8 50.329 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 50.329 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 50.329 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.329 * [backup-simplify]: Simplify 1/2 into 1/2 50.329 * [taylor]: Taking taylor expansion of phi2 in phi2 50.329 * [backup-simplify]: Simplify 0 into 0 50.329 * [backup-simplify]: Simplify 1 into 1 50.329 * [backup-simplify]: Simplify (* 1/2 0) into 0 50.330 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 50.330 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 50.331 * [backup-simplify]: Simplify (- 1/8) into -1/8 50.331 * [backup-simplify]: Simplify -1/8 into -1/8 50.332 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 50.333 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 50.333 * [backup-simplify]: Simplify (- 1/4) into -1/4 50.333 * [backup-simplify]: Simplify -1/4 into -1/4 50.333 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 50.333 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.333 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 50.333 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.334 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.334 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.334 * [backup-simplify]: Simplify 1/2 into 1/2 50.334 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.334 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.334 * [taylor]: Taking taylor expansion of phi1 in phi2 50.334 * [backup-simplify]: Simplify phi1 into phi1 50.334 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.334 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.334 * [taylor]: Taking taylor expansion of phi2 in phi2 50.334 * [backup-simplify]: Simplify 0 into 0 50.334 * [backup-simplify]: Simplify 1 into 1 50.334 * [backup-simplify]: Simplify (/ 1 1) into 1 50.335 * [backup-simplify]: Simplify (+ 0 1) into 1 50.335 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.335 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.335 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.335 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.335 * [backup-simplify]: Simplify 1/2 into 1/2 50.335 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.335 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.335 * [taylor]: Taking taylor expansion of phi1 in phi1 50.335 * [backup-simplify]: Simplify 0 into 0 50.335 * [backup-simplify]: Simplify 1 into 1 50.336 * [backup-simplify]: Simplify (/ 1 1) into 1 50.336 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.336 * [taylor]: Taking taylor expansion of phi2 in phi1 50.336 * [backup-simplify]: Simplify phi2 into phi2 50.336 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.336 * [backup-simplify]: Simplify (+ 1 0) into 1 50.337 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.337 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.337 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.337 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.337 * [taylor]: Taking taylor expansion of 1/2 in phi1 50.337 * [backup-simplify]: Simplify 1/2 into 1/2 50.337 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.337 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.337 * [taylor]: Taking taylor expansion of phi1 in phi1 50.337 * [backup-simplify]: Simplify 0 into 0 50.337 * [backup-simplify]: Simplify 1 into 1 50.338 * [backup-simplify]: Simplify (/ 1 1) into 1 50.338 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.338 * [taylor]: Taking taylor expansion of phi2 in phi1 50.338 * [backup-simplify]: Simplify phi2 into phi2 50.338 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.338 * [backup-simplify]: Simplify (+ 1 0) into 1 50.339 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.339 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.339 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.339 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.339 * [taylor]: Taking taylor expansion of 1/2 in phi2 50.339 * [backup-simplify]: Simplify 1/2 into 1/2 50.339 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.339 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.339 * [taylor]: Taking taylor expansion of phi1 in phi2 50.339 * [backup-simplify]: Simplify phi1 into phi1 50.339 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.339 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.339 * [taylor]: Taking taylor expansion of phi2 in phi2 50.339 * [backup-simplify]: Simplify 0 into 0 50.339 * [backup-simplify]: Simplify 1 into 1 50.340 * [backup-simplify]: Simplify (/ 1 1) into 1 50.340 * [backup-simplify]: Simplify (+ 0 1) into 1 50.341 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 50.341 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.341 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.341 * [taylor]: Taking taylor expansion of 0 in phi2 50.341 * [backup-simplify]: Simplify 0 into 0 50.341 * [backup-simplify]: Simplify 0 into 0 50.341 * [backup-simplify]: Simplify 0 into 0 50.341 * [taylor]: Taking taylor expansion of 0 in phi2 50.341 * [backup-simplify]: Simplify 0 into 0 50.341 * [backup-simplify]: Simplify 0 into 0 50.341 * [backup-simplify]: Simplify 0 into 0 50.341 * [backup-simplify]: Simplify 0 into 0 50.341 * [taylor]: Taking taylor expansion of 0 in phi2 50.341 * [backup-simplify]: Simplify 0 into 0 50.341 * [backup-simplify]: Simplify 0 into 0 50.342 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 50.342 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.342 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 50.342 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.342 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.342 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.342 * [backup-simplify]: Simplify -1/2 into -1/2 50.342 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.342 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.342 * [taylor]: Taking taylor expansion of phi1 in phi2 50.342 * [backup-simplify]: Simplify phi1 into phi1 50.342 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.342 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.342 * [taylor]: Taking taylor expansion of phi2 in phi2 50.342 * [backup-simplify]: Simplify 0 into 0 50.342 * [backup-simplify]: Simplify 1 into 1 50.342 * [backup-simplify]: Simplify (/ 1 1) into 1 50.343 * [backup-simplify]: Simplify (+ 0 1) into 1 50.343 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.343 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.343 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.344 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.344 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.344 * [backup-simplify]: Simplify -1/2 into -1/2 50.344 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.344 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.344 * [taylor]: Taking taylor expansion of phi1 in phi1 50.344 * [backup-simplify]: Simplify 0 into 0 50.344 * [backup-simplify]: Simplify 1 into 1 50.344 * [backup-simplify]: Simplify (/ 1 1) into 1 50.344 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.344 * [taylor]: Taking taylor expansion of phi2 in phi1 50.344 * [backup-simplify]: Simplify phi2 into phi2 50.344 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.344 * [backup-simplify]: Simplify (+ 1 0) into 1 50.345 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.345 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.345 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 50.345 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 50.345 * [taylor]: Taking taylor expansion of -1/2 in phi1 50.345 * [backup-simplify]: Simplify -1/2 into -1/2 50.345 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 50.345 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 50.345 * [taylor]: Taking taylor expansion of phi1 in phi1 50.345 * [backup-simplify]: Simplify 0 into 0 50.345 * [backup-simplify]: Simplify 1 into 1 50.345 * [backup-simplify]: Simplify (/ 1 1) into 1 50.345 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 50.345 * [taylor]: Taking taylor expansion of phi2 in phi1 50.345 * [backup-simplify]: Simplify phi2 into phi2 50.345 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 50.346 * [backup-simplify]: Simplify (+ 1 0) into 1 50.346 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.346 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.346 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 50.346 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 50.346 * [taylor]: Taking taylor expansion of -1/2 in phi2 50.346 * [backup-simplify]: Simplify -1/2 into -1/2 50.346 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 50.346 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 50.346 * [taylor]: Taking taylor expansion of phi1 in phi2 50.346 * [backup-simplify]: Simplify phi1 into phi1 50.346 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 50.346 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 50.346 * [taylor]: Taking taylor expansion of phi2 in phi2 50.346 * [backup-simplify]: Simplify 0 into 0 50.346 * [backup-simplify]: Simplify 1 into 1 50.346 * [backup-simplify]: Simplify (/ 1 1) into 1 50.347 * [backup-simplify]: Simplify (+ 0 1) into 1 50.347 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 50.347 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.347 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 50.347 * [taylor]: Taking taylor expansion of 0 in phi2 50.347 * [backup-simplify]: Simplify 0 into 0 50.347 * [backup-simplify]: Simplify 0 into 0 50.347 * [backup-simplify]: Simplify 0 into 0 50.347 * [taylor]: Taking taylor expansion of 0 in phi2 50.347 * [backup-simplify]: Simplify 0 into 0 50.347 * [backup-simplify]: Simplify 0 into 0 50.347 * [backup-simplify]: Simplify 0 into 0 50.347 * [backup-simplify]: Simplify 0 into 0 50.347 * [taylor]: Taking taylor expansion of 0 in phi2 50.347 * [backup-simplify]: Simplify 0 into 0 50.347 * [backup-simplify]: Simplify 0 into 0 50.348 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 50.348 * * * [progress]: simplifying candidates 50.348 * * * * [progress]: [ 1 / 188 ] simplifiying candidate # 50.348 * * * * [progress]: [ 2 / 188 ] simplifiying candidate # 50.348 * * * * [progress]: [ 3 / 188 ] simplifiying candidate # 50.348 * * * * [progress]: [ 4 / 188 ] simplifiying candidate # 50.348 * * * * [progress]: [ 5 / 188 ] simplifiying candidate # 50.348 * * * * [progress]: [ 6 / 188 ] simplifiying candidate # 50.348 * * * * [progress]: [ 7 / 188 ] simplifiying candidate # 50.348 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 50.349 * * [simplify]: iters left: 6 (21 enodes) 50.354 * * [simplify]: iters left: 5 (78 enodes) 50.369 * * [simplify]: iters left: 4 (130 enodes) 50.422 * * [simplify]: iters left: 3 (264 enodes) 50.510 * * [simplify]: Extracting #0: cost 1 inf + 0 50.510 * * [simplify]: Extracting #1: cost 4 inf + 0 50.510 * * [simplify]: Extracting #2: cost 7 inf + 0 50.510 * * [simplify]: Extracting #3: cost 24 inf + 0 50.510 * * [simplify]: Extracting #4: cost 106 inf + 0 50.511 * * [simplify]: Extracting #5: cost 167 inf + 45 50.513 * * [simplify]: Extracting #6: cost 153 inf + 2130 50.516 * * [simplify]: Extracting #7: cost 135 inf + 4450 50.522 * * [simplify]: Extracting #8: cost 101 inf + 13500 50.537 * * [simplify]: Extracting #9: cost 11 inf + 40163 50.548 * * [simplify]: Extracting #10: cost 0 inf + 44284 50.559 * [simplify]: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 50.559 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 50.559 * * * * [progress]: [ 8 / 188 ] simplifiying candidate # 50.559 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) 50.560 * * [simplify]: iters left: 6 (20 enodes) 50.565 * * [simplify]: iters left: 5 (74 enodes) 50.581 * * [simplify]: iters left: 4 (126 enodes) 50.614 * * [simplify]: iters left: 3 (258 enodes) 50.725 * * [simplify]: Extracting #0: cost 1 inf + 0 50.725 * * [simplify]: Extracting #1: cost 3 inf + 0 50.725 * * [simplify]: Extracting #2: cost 5 inf + 0 50.725 * * [simplify]: Extracting #3: cost 23 inf + 0 50.726 * * [simplify]: Extracting #4: cost 106 inf + 0 50.726 * * [simplify]: Extracting #5: cost 168 inf + 3 50.727 * * [simplify]: Extracting #6: cost 159 inf + 1236 50.729 * * [simplify]: Extracting #7: cost 117 inf + 9250 50.735 * * [simplify]: Extracting #8: cost 40 inf + 31895 50.751 * * [simplify]: Extracting #9: cost 2 inf + 43577 50.770 * * [simplify]: Extracting #10: cost 0 inf + 44285 50.788 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 50.788 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 50.788 * * * * [progress]: [ 9 / 188 ] simplifiying candidate # 50.788 * [simplify]: Simplifying (sqrt 1) 50.789 * * [simplify]: iters left: 1 (2 enodes) 50.792 * * [simplify]: Extracting #0: cost 1 inf + 0 50.792 * * [simplify]: Extracting #1: cost 0 inf + 1 50.792 * [simplify]: Simplified to 1 50.792 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))) 50.792 * * * * [progress]: [ 10 / 188 ] simplifiying candidate # 50.792 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 50.793 * * [simplify]: iters left: 6 (44 enodes) 50.814 * * [simplify]: iters left: 5 (198 enodes) 50.876 * * [simplify]: Extracting #0: cost 1 inf + 0 50.876 * * [simplify]: Extracting #1: cost 3 inf + 0 50.876 * * [simplify]: Extracting #2: cost 6 inf + 0 50.876 * * [simplify]: Extracting #3: cost 57 inf + 0 50.877 * * [simplify]: Extracting #4: cost 180 inf + 0 50.878 * * [simplify]: Extracting #5: cost 239 inf + 1 50.880 * * [simplify]: Extracting #6: cost 225 inf + 6124 50.888 * * [simplify]: Extracting #7: cost 121 inf + 30713 50.901 * * [simplify]: Extracting #8: cost 67 inf + 44756 50.918 * * [simplify]: Extracting #9: cost 48 inf + 53505 50.940 * * [simplify]: Extracting #10: cost 1 inf + 92975 50.962 * * [simplify]: Extracting #11: cost 0 inf + 94501 50.995 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt 2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 50.995 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt 2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 50.996 * * * * [progress]: [ 11 / 188 ] simplifiying candidate # 50.997 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 50.997 * * [simplify]: iters left: 6 (45 enodes) 51.022 * * [simplify]: iters left: 5 (207 enodes) 51.117 * * [simplify]: Extracting #0: cost 1 inf + 0 51.117 * * [simplify]: Extracting #1: cost 3 inf + 0 51.117 * * [simplify]: Extracting #2: cost 6 inf + 0 51.117 * * [simplify]: Extracting #3: cost 61 inf + 0 51.118 * * [simplify]: Extracting #4: cost 203 inf + 0 51.120 * * [simplify]: Extracting #5: cost 242 inf + 805 51.123 * * [simplify]: Extracting #6: cost 195 inf + 11639 51.132 * * [simplify]: Extracting #7: cost 119 inf + 31293 51.147 * * [simplify]: Extracting #8: cost 67 inf + 47950 51.165 * * [simplify]: Extracting #9: cost 46 inf + 58317 51.195 * * [simplify]: Extracting #10: cost 4 inf + 93557 51.228 * * [simplify]: Extracting #11: cost 0 inf + 97221 51.266 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt 2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 51.266 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt 2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 51.267 * * * * [progress]: [ 12 / 188 ] simplifiying candidate # 51.268 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 51.268 * * [simplify]: iters left: 6 (45 enodes) 51.293 * * [simplify]: iters left: 5 (207 enodes) 51.368 * * [simplify]: Extracting #0: cost 1 inf + 0 51.368 * * [simplify]: Extracting #1: cost 3 inf + 0 51.368 * * [simplify]: Extracting #2: cost 6 inf + 0 51.368 * * [simplify]: Extracting #3: cost 63 inf + 0 51.368 * * [simplify]: Extracting #4: cost 201 inf + 0 51.369 * * [simplify]: Extracting #5: cost 243 inf + 478 51.374 * * [simplify]: Extracting #6: cost 183 inf + 14765 51.382 * * [simplify]: Extracting #7: cost 117 inf + 33779 51.394 * * [simplify]: Extracting #8: cost 62 inf + 48722 51.403 * * [simplify]: Extracting #9: cost 45 inf + 56752 51.418 * * [simplify]: Extracting #10: cost 6 inf + 89537 51.443 * * [simplify]: Extracting #11: cost 0 inf + 94693 51.477 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (cbrt 2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 51.477 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (cbrt 2) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 51.478 * * * * [progress]: [ 13 / 188 ] simplifiying candidate # 51.479 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 51.479 * * [simplify]: iters left: 6 (39 enodes) 51.504 * * [simplify]: iters left: 5 (171 enodes) 51.554 * * [simplify]: iters left: 4 (473 enodes) 51.935 * * [simplify]: Extracting #0: cost 1 inf + 0 51.935 * * [simplify]: Extracting #1: cost 3 inf + 0 51.935 * * [simplify]: Extracting #2: cost 16 inf + 0 51.936 * * [simplify]: Extracting #3: cost 226 inf + 0 51.940 * * [simplify]: Extracting #4: cost 627 inf + 291 51.948 * * [simplify]: Extracting #5: cost 799 inf + 5534 51.959 * * [simplify]: Extracting #6: cost 738 inf + 18037 51.984 * * [simplify]: Extracting #7: cost 509 inf + 85208 52.033 * * [simplify]: Extracting #8: cost 250 inf + 193340 52.113 * * [simplify]: Extracting #9: cost 224 inf + 203148 52.195 * * [simplify]: Extracting #10: cost 198 inf + 218565 52.327 * * [simplify]: Extracting #11: cost 31 inf + 337927 52.435 * * [simplify]: Extracting #12: cost 0 inf + 361457 52.545 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt 2) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (+ (cos (/ (+ phi2 phi1) 2)) (* (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 52.545 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt 2) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (+ (cos (/ (+ phi2 phi1) 2)) (* (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 52.546 * * * * [progress]: [ 14 / 188 ] simplifiying candidate # 52.546 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 52.547 * * [simplify]: iters left: 6 (44 enodes) 52.573 * * [simplify]: iters left: 5 (199 enodes) 52.642 * * [simplify]: Extracting #0: cost 1 inf + 0 52.642 * * [simplify]: Extracting #1: cost 3 inf + 0 52.643 * * [simplify]: Extracting #2: cost 10 inf + 0 52.643 * * [simplify]: Extracting #3: cost 79 inf + 0 52.644 * * [simplify]: Extracting #4: cost 189 inf + 42 52.645 * * [simplify]: Extracting #5: cost 217 inf + 599 52.648 * * [simplify]: Extracting #6: cost 175 inf + 13173 52.655 * * [simplify]: Extracting #7: cost 118 inf + 28928 52.666 * * [simplify]: Extracting #8: cost 66 inf + 42097 52.683 * * [simplify]: Extracting #9: cost 46 inf + 50765 52.698 * * [simplify]: Extracting #10: cost 3 inf + 84372 52.721 * * [simplify]: Extracting #11: cost 1 inf + 87384 52.742 * * [simplify]: Extracting #12: cost 0 inf + 88910 52.759 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt 2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))))))) 52.759 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt 2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 52.760 * * * * [progress]: [ 15 / 188 ] simplifiying candidate # 52.760 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 52.760 * * [simplify]: iters left: 6 (39 enodes) 52.782 * * [simplify]: iters left: 5 (171 enodes) 52.849 * * [simplify]: iters left: 4 (466 enodes) 53.211 * * [simplify]: Extracting #0: cost 1 inf + 0 53.212 * * [simplify]: Extracting #1: cost 3 inf + 0 53.212 * * [simplify]: Extracting #2: cost 13 inf + 0 53.212 * * [simplify]: Extracting #3: cost 203 inf + 0 53.215 * * [simplify]: Extracting #4: cost 563 inf + 44 53.222 * * [simplify]: Extracting #5: cost 791 inf + 4722 53.232 * * [simplify]: Extracting #6: cost 738 inf + 13949 53.257 * * [simplify]: Extracting #7: cost 617 inf + 43288 53.295 * * [simplify]: Extracting #8: cost 266 inf + 179974 53.337 * * [simplify]: Extracting #9: cost 190 inf + 209532 53.424 * * [simplify]: Extracting #10: cost 171 inf + 217662 53.510 * * [simplify]: Extracting #11: cost 36 inf + 315640 53.604 * * [simplify]: Extracting #12: cost 1 inf + 344312 53.717 * * [simplify]: Extracting #13: cost 0 inf + 345597 53.855 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cbrt (+ (cos (/ (+ phi2 phi1) 2)) (* (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (cbrt 2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) 53.856 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cbrt (+ (cos (/ (+ phi2 phi1) 2)) (* (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (cbrt 2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (+ phi1 phi2)))))) 53.856 * * * * [progress]: [ 16 / 188 ] simplifiying candidate # 53.857 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 53.857 * * [simplify]: iters left: 6 (44 enodes) 53.874 * * [simplify]: iters left: 5 (199 enodes) 53.946 * * [simplify]: Extracting #0: cost 1 inf + 0 53.946 * * [simplify]: Extracting #1: cost 3 inf + 0 53.946 * * [simplify]: Extracting #2: cost 10 inf + 0 53.946 * * [simplify]: Extracting #3: cost 79 inf + 0 53.947 * * [simplify]: Extracting #4: cost 189 inf + 42 53.947 * * [simplify]: Extracting #5: cost 216 inf + 640 53.949 * * [simplify]: Extracting #6: cost 175 inf + 13614 53.953 * * [simplify]: Extracting #7: cost 112 inf + 31043 53.960 * * [simplify]: Extracting #8: cost 53 inf + 49782 53.985 * * [simplify]: Extracting #9: cost 3 inf + 85332 54.018 * * [simplify]: Extracting #10: cost 1 inf + 88344 54.050 * * [simplify]: Extracting #11: cost 0 inf + 89870 54.087 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt 2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))))))) 54.087 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt 2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 54.088 * * * * [progress]: [ 17 / 188 ] simplifiying candidate # 54.088 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 54.089 * * [simplify]: iters left: 6 (39 enodes) 54.111 * * [simplify]: iters left: 5 (171 enodes) 54.153 * * [simplify]: iters left: 4 (466 enodes) 54.479 * * [simplify]: Extracting #0: cost 1 inf + 0 54.479 * * [simplify]: Extracting #1: cost 3 inf + 0 54.479 * * [simplify]: Extracting #2: cost 13 inf + 0 54.480 * * [simplify]: Extracting #3: cost 200 inf + 0 54.482 * * [simplify]: Extracting #4: cost 572 inf + 85 54.489 * * [simplify]: Extracting #5: cost 799 inf + 4861 54.496 * * [simplify]: Extracting #6: cost 733 inf + 17041 54.506 * * [simplify]: Extracting #7: cost 588 inf + 54264 54.540 * * [simplify]: Extracting #8: cost 259 inf + 189995 54.599 * * [simplify]: Extracting #9: cost 187 inf + 214033 54.649 * * [simplify]: Extracting #10: cost 168 inf + 221762 54.777 * * [simplify]: Extracting #11: cost 25 inf + 325738 54.911 * * [simplify]: Extracting #12: cost 1 inf + 346495 55.057 * * [simplify]: Extracting #13: cost 0 inf + 347780 55.200 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cbrt (+ (cos (/ (+ phi2 phi1) 2)) (* (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (cbrt 2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) 55.200 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cbrt (+ (cos (/ (+ phi2 phi1) 2)) (* (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (cbrt 2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (+ phi1 phi2)))))) 55.200 * * * * [progress]: [ 18 / 188 ] simplifiying candidate # 55.201 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 55.201 * * [simplify]: iters left: 6 (46 enodes) 55.214 * * [simplify]: iters left: 5 (208 enodes) 55.302 * * [simplify]: Extracting #0: cost 1 inf + 0 55.302 * * [simplify]: Extracting #1: cost 3 inf + 0 55.302 * * [simplify]: Extracting #2: cost 6 inf + 0 55.302 * * [simplify]: Extracting #3: cost 57 inf + 0 55.303 * * [simplify]: Extracting #4: cost 183 inf + 0 55.304 * * [simplify]: Extracting #5: cost 243 inf + 82 55.307 * * [simplify]: Extracting #6: cost 219 inf + 8023 55.312 * * [simplify]: Extracting #7: cost 152 inf + 18956 55.322 * * [simplify]: Extracting #8: cost 88 inf + 35101 55.340 * * [simplify]: Extracting #9: cost 60 inf + 45881 55.366 * * [simplify]: Extracting #10: cost 18 inf + 78898 55.398 * * [simplify]: Extracting #11: cost 0 inf + 95166 55.432 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ lambda2 lambda1) (cbrt 2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 55.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ lambda2 lambda1) (cbrt 2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 55.433 * * * * [progress]: [ 19 / 188 ] simplifiying candidate # 55.434 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 55.434 * * [simplify]: iters left: 6 (47 enodes) 55.462 * * [simplify]: iters left: 5 (217 enodes) 55.537 * * [simplify]: Extracting #0: cost 1 inf + 0 55.537 * * [simplify]: Extracting #1: cost 3 inf + 0 55.538 * * [simplify]: Extracting #2: cost 6 inf + 0 55.538 * * [simplify]: Extracting #3: cost 61 inf + 0 55.538 * * [simplify]: Extracting #4: cost 206 inf + 0 55.539 * * [simplify]: Extracting #5: cost 253 inf + 395 55.541 * * [simplify]: Extracting #6: cost 182 inf + 16062 55.547 * * [simplify]: Extracting #7: cost 99 inf + 41479 55.555 * * [simplify]: Extracting #8: cost 70 inf + 47832 55.567 * * [simplify]: Extracting #9: cost 63 inf + 48351 55.575 * * [simplify]: Extracting #10: cost 57 inf + 51118 55.592 * * [simplify]: Extracting #11: cost 16 inf + 82070 55.613 * * [simplify]: Extracting #12: cost 1 inf + 95760 55.638 * * [simplify]: Extracting #13: cost 0 inf + 97406 55.655 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (* (+ lambda2 lambda1) (cbrt 2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) 55.655 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (* (+ lambda2 lambda1) (cbrt 2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 55.656 * * * * [progress]: [ 20 / 188 ] simplifiying candidate # 55.656 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 55.657 * * [simplify]: iters left: 6 (47 enodes) 55.675 * * [simplify]: iters left: 5 (217 enodes) 55.777 * * [simplify]: Extracting #0: cost 1 inf + 0 55.777 * * [simplify]: Extracting #1: cost 3 inf + 0 55.777 * * [simplify]: Extracting #2: cost 6 inf + 0 55.777 * * [simplify]: Extracting #3: cost 63 inf + 0 55.778 * * [simplify]: Extracting #4: cost 204 inf + 0 55.779 * * [simplify]: Extracting #5: cost 251 inf + 312 55.783 * * [simplify]: Extracting #6: cost 200 inf + 11550 55.791 * * [simplify]: Extracting #7: cost 119 inf + 30384 55.804 * * [simplify]: Extracting #8: cost 79 inf + 42299 55.817 * * [simplify]: Extracting #9: cost 57 inf + 50455 55.830 * * [simplify]: Extracting #10: cost 18 inf + 78930 55.851 * * [simplify]: Extracting #11: cost 1 inf + 93392 55.869 * * [simplify]: Extracting #12: cost 0 inf + 95038 55.886 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))))))) (* (* (* (+ lambda2 lambda1) (cbrt 2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 55.886 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))))))) (* (* (* (+ lambda2 lambda1) (cbrt 2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 55.887 * * * * [progress]: [ 21 / 188 ] simplifiying candidate # 55.887 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 55.887 * * [simplify]: iters left: 6 (41 enodes) 55.906 * * [simplify]: iters left: 5 (181 enodes) 55.986 * * [simplify]: iters left: 4 (489 enodes) 56.279 * * [simplify]: Extracting #0: cost 1 inf + 0 56.279 * * [simplify]: Extracting #1: cost 3 inf + 0 56.279 * * [simplify]: Extracting #2: cost 16 inf + 0 56.279 * * [simplify]: Extracting #3: cost 246 inf + 0 56.281 * * [simplify]: Extracting #4: cost 763 inf + 250 56.285 * * [simplify]: Extracting #5: cost 841 inf + 8133 56.297 * * [simplify]: Extracting #6: cost 632 inf + 58277 56.365 * * [simplify]: Extracting #7: cost 343 inf + 164445 56.401 * * [simplify]: Extracting #8: cost 279 inf + 182664 56.438 * * [simplify]: Extracting #9: cost 262 inf + 188306 56.499 * * [simplify]: Extracting #10: cost 164 inf + 252786 56.649 * * [simplify]: Extracting #11: cost 16 inf + 360362 56.789 * * [simplify]: Extracting #12: cost 0 inf + 371199 56.958 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (cbrt 2)) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 56.958 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (cbrt 2)) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 56.959 * * * * [progress]: [ 22 / 188 ] simplifiying candidate # 56.959 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 56.960 * * [simplify]: iters left: 6 (46 enodes) 56.986 * * [simplify]: iters left: 5 (209 enodes) 57.075 * * [simplify]: Extracting #0: cost 1 inf + 0 57.075 * * [simplify]: Extracting #1: cost 3 inf + 0 57.075 * * [simplify]: Extracting #2: cost 10 inf + 0 57.076 * * [simplify]: Extracting #3: cost 79 inf + 0 57.077 * * [simplify]: Extracting #4: cost 192 inf + 42 57.082 * * [simplify]: Extracting #5: cost 226 inf + 249 57.085 * * [simplify]: Extracting #6: cost 182 inf + 11606 57.093 * * [simplify]: Extracting #7: cost 100 inf + 35119 57.105 * * [simplify]: Extracting #8: cost 69 inf + 41742 57.111 * * [simplify]: Extracting #9: cost 63 inf + 42908 57.118 * * [simplify]: Extracting #10: cost 55 inf + 45941 57.131 * * [simplify]: Extracting #11: cost 6 inf + 82659 57.158 * * [simplify]: Extracting #12: cost 0 inf + 88775 57.174 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt 2) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 57.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt 2) (+ lambda2 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 57.175 * * * * [progress]: [ 23 / 188 ] simplifiying candidate # 57.175 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 57.175 * * [simplify]: iters left: 6 (41 enodes) 57.190 * * [simplify]: iters left: 5 (181 enodes) 57.245 * * [simplify]: iters left: 4 (482 enodes) 57.648 * * [simplify]: Extracting #0: cost 1 inf + 0 57.648 * * [simplify]: Extracting #1: cost 3 inf + 0 57.648 * * [simplify]: Extracting #2: cost 12 inf + 0 57.649 * * [simplify]: Extracting #3: cost 234 inf + 0 57.653 * * [simplify]: Extracting #4: cost 700 inf + 166 57.662 * * [simplify]: Extracting #5: cost 811 inf + 11342 57.682 * * [simplify]: Extracting #6: cost 477 inf + 102134 57.726 * * [simplify]: Extracting #7: cost 267 inf + 179047 57.796 * * [simplify]: Extracting #8: cost 229 inf + 192553 57.843 * * [simplify]: Extracting #9: cost 219 inf + 194872 57.938 * * [simplify]: Extracting #10: cost 144 inf + 244682 58.078 * * [simplify]: Extracting #11: cost 1 inf + 348070 58.189 * * [simplify]: Extracting #12: cost 0 inf + 349355 58.321 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (cbrt 2)) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2)))) (- phi1 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)) (cbrt (+ (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))))))))) 58.321 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (cbrt 2)) (* (+ lambda2 lambda1) (* (+ phi2 phi1) (- phi1 phi2)))) (- phi1 phi2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)) (cbrt (+ (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (+ phi1 phi2)))))) 58.322 * * * * [progress]: [ 24 / 188 ] simplifiying candidate # 58.322 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 58.323 * * [simplify]: iters left: 6 (46 enodes) 58.347 * * [simplify]: iters left: 5 (209 enodes) 58.418 * * [simplify]: Extracting #0: cost 1 inf + 0 58.419 * * [simplify]: Extracting #1: cost 3 inf + 0 58.419 * * [simplify]: Extracting #2: cost 10 inf + 0 58.419 * * [simplify]: Extracting #3: cost 79 inf + 0 58.419 * * [simplify]: Extracting #4: cost 192 inf + 42 58.420 * * [simplify]: Extracting #5: cost 224 inf + 333 58.421 * * [simplify]: Extracting #6: cost 180 inf + 12573 58.426 * * [simplify]: Extracting #7: cost 108 inf + 32249 58.432 * * [simplify]: Extracting #8: cost 77 inf + 38486 58.439 * * [simplify]: Extracting #9: cost 63 inf + 43868 58.451 * * [simplify]: Extracting #10: cost 55 inf + 46901 58.470 * * [simplify]: Extracting #11: cost 6 inf + 83619 58.490 * * [simplify]: Extracting #12: cost 0 inf + 89735 58.522 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt 2) (+ lambda2 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 58.522 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt 2) (+ lambda2 lambda1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 58.522 * * * * [progress]: [ 25 / 188 ] simplifiying candidate # 58.523 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 58.523 * * [simplify]: iters left: 6 (41 enodes) 58.546 * * [simplify]: iters left: 5 (181 enodes) 58.607 * * [simplify]: iters left: 4 (482 enodes) 58.938 * * [simplify]: Extracting #0: cost 1 inf + 0 58.938 * * [simplify]: Extracting #1: cost 3 inf + 0 58.938 * * [simplify]: Extracting #2: cost 12 inf + 0 58.939 * * [simplify]: Extracting #3: cost 230 inf + 0 58.940 * * [simplify]: Extracting #4: cost 711 inf + 43 58.944 * * [simplify]: Extracting #5: cost 845 inf + 5287 58.964 * * [simplify]: Extracting #6: cost 637 inf + 48500 59.007 * * [simplify]: Extracting #7: cost 334 inf + 152642 59.053 * * [simplify]: Extracting #8: cost 229 inf + 195077 59.114 * * [simplify]: Extracting #9: cost 218 inf + 197899 59.178 * * [simplify]: Extracting #10: cost 144 inf + 243757 59.313 * * [simplify]: Extracting #11: cost 2 inf + 348346 59.421 * * [simplify]: Extracting #12: cost 0 inf + 350777 59.558 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt 2) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 59.558 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt 2) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ lambda1 lambda2) (cbrt 2))) (+ phi1 phi2)))))) 59.558 * * * * [progress]: [ 26 / 188 ] simplifiying candidate # 59.559 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 59.559 * * [simplify]: iters left: 6 (44 enodes) 59.583 * * [simplify]: iters left: 5 (197 enodes) 59.669 * * [simplify]: Extracting #0: cost 1 inf + 0 59.669 * * [simplify]: Extracting #1: cost 3 inf + 0 59.669 * * [simplify]: Extracting #2: cost 6 inf + 0 59.670 * * [simplify]: Extracting #3: cost 53 inf + 0 59.670 * * [simplify]: Extracting #4: cost 160 inf + 0 59.671 * * [simplify]: Extracting #5: cost 219 inf + 82 59.673 * * [simplify]: Extracting #6: cost 209 inf + 6000 59.678 * * [simplify]: Extracting #7: cost 140 inf + 14779 59.690 * * [simplify]: Extracting #8: cost 76 inf + 33165 59.696 * * [simplify]: Extracting #9: cost 52 inf + 42447 59.708 * * [simplify]: Extracting #10: cost 16 inf + 72055 59.728 * * [simplify]: Extracting #11: cost 0 inf + 86151 59.744 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt 2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))))))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) 59.744 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt 2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))))))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 59.744 * * * * [progress]: [ 27 / 188 ] simplifiying candidate # 59.745 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 59.746 * * [simplify]: iters left: 6 (45 enodes) 59.766 * * [simplify]: iters left: 5 (206 enodes) 59.840 * * [simplify]: Extracting #0: cost 1 inf + 0 59.840 * * [simplify]: Extracting #1: cost 3 inf + 0 59.840 * * [simplify]: Extracting #2: cost 6 inf + 0 59.840 * * [simplify]: Extracting #3: cost 57 inf + 0 59.840 * * [simplify]: Extracting #4: cost 183 inf + 0 59.841 * * [simplify]: Extracting #5: cost 232 inf + 128 59.842 * * [simplify]: Extracting #6: cost 204 inf + 6002 59.846 * * [simplify]: Extracting #7: cost 123 inf + 25261 59.852 * * [simplify]: Extracting #8: cost 71 inf + 39391 59.866 * * [simplify]: Extracting #9: cost 13 inf + 79671 59.893 * * [simplify]: Extracting #10: cost 0 inf + 88509 60.290 * * [simplify]: Extracting #11: cost 0 inf + 87989 60.309 * [simplify]: Simplified to (sqrt (+ (* (cbrt 2) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 60.309 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt 2) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 60.310 * * * * [progress]: [ 28 / 188 ] simplifiying candidate # 60.310 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 60.310 * * [simplify]: iters left: 6 (45 enodes) 60.324 * * [simplify]: iters left: 5 (206 enodes) 60.380 * * [simplify]: Extracting #0: cost 1 inf + 0 60.380 * * [simplify]: Extracting #1: cost 3 inf + 0 60.380 * * [simplify]: Extracting #2: cost 6 inf + 0 60.380 * * [simplify]: Extracting #3: cost 59 inf + 0 60.386 * * [simplify]: Extracting #4: cost 181 inf + 0 60.388 * * [simplify]: Extracting #5: cost 226 inf + 371 60.390 * * [simplify]: Extracting #6: cost 194 inf + 7924 60.397 * * [simplify]: Extracting #7: cost 110 inf + 27690 60.409 * * [simplify]: Extracting #8: cost 72 inf + 38032 60.422 * * [simplify]: Extracting #9: cost 54 inf + 43831 60.444 * * [simplify]: Extracting #10: cost 21 inf + 68575 60.473 * * [simplify]: Extracting #11: cost 0 inf + 85701 60.492 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt 2) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) 60.492 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt 2) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2))) 1))) (* (- lambda1 lambda2) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 60.492 * * * * [progress]: [ 29 / 188 ] simplifiying candidate # 60.493 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 60.493 * * [simplify]: iters left: 6 (39 enodes) 60.504 * * [simplify]: iters left: 5 (170 enodes) 60.543 * * [simplify]: iters left: 4 (438 enodes) 60.788 * * [simplify]: Extracting #0: cost 1 inf + 0 60.788 * * [simplify]: Extracting #1: cost 3 inf + 0 60.788 * * [simplify]: Extracting #2: cost 16 inf + 0 60.788 * * [simplify]: Extracting #3: cost 240 inf + 0 60.794 * * [simplify]: Extracting #4: cost 614 inf + 291 60.798 * * [simplify]: Extracting #5: cost 611 inf + 11917 60.810 * * [simplify]: Extracting #6: cost 419 inf + 65887 60.833 * * [simplify]: Extracting #7: cost 298 inf + 114635 60.879 * * [simplify]: Extracting #8: cost 275 inf + 120292 60.929 * * [simplify]: Extracting #9: cost 258 inf + 125744 60.983 * * [simplify]: Extracting #10: cost 196 inf + 163780 61.064 * * [simplify]: Extracting #11: cost 22 inf + 284767 61.142 * * [simplify]: Extracting #12: cost 0 inf + 298654 61.240 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt 2) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) 61.240 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt 2) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 61.241 * * * * [progress]: [ 30 / 188 ] simplifiying candidate # 61.241 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 61.242 * * [simplify]: iters left: 6 (44 enodes) 61.266 * * [simplify]: iters left: 5 (198 enodes) 61.351 * * [simplify]: Extracting #0: cost 1 inf + 0 61.351 * * [simplify]: Extracting #1: cost 3 inf + 0 61.351 * * [simplify]: Extracting #2: cost 10 inf + 0 61.351 * * [simplify]: Extracting #3: cost 75 inf + 0 61.352 * * [simplify]: Extracting #4: cost 169 inf + 42 61.353 * * [simplify]: Extracting #5: cost 200 inf + 332 61.356 * * [simplify]: Extracting #6: cost 164 inf + 11319 61.361 * * [simplify]: Extracting #7: cost 112 inf + 23033 61.370 * * [simplify]: Extracting #8: cost 62 inf + 37819 61.382 * * [simplify]: Extracting #9: cost 17 inf + 68256 61.399 * * [simplify]: Extracting #10: cost 0 inf + 79398 61.422 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (cbrt 2) (- phi1 phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))))))))) 61.422 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (cbrt 2) (- phi1 phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 61.422 * * * * [progress]: [ 31 / 188 ] simplifiying candidate # 61.422 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 61.423 * * [simplify]: iters left: 6 (39 enodes) 61.434 * * [simplify]: iters left: 5 (170 enodes) 61.491 * * [simplify]: iters left: 4 (431 enodes) 61.725 * * [simplify]: Extracting #0: cost 1 inf + 0 61.725 * * [simplify]: Extracting #1: cost 3 inf + 0 61.725 * * [simplify]: Extracting #2: cost 13 inf + 0 61.726 * * [simplify]: Extracting #3: cost 202 inf + 0 61.729 * * [simplify]: Extracting #4: cost 509 inf + 44 61.735 * * [simplify]: Extracting #5: cost 580 inf + 10514 61.768 * * [simplify]: Extracting #6: cost 296 inf + 89783 61.796 * * [simplify]: Extracting #7: cost 210 inf + 120001 61.831 * * [simplify]: Extracting #8: cost 189 inf + 127995 61.860 * * [simplify]: Extracting #9: cost 152 inf + 148366 61.955 * * [simplify]: Extracting #10: cost 16 inf + 245095 62.041 * * [simplify]: Extracting #11: cost 1 inf + 256772 62.122 * * [simplify]: Extracting #12: cost 0 inf + 258057 62.232 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (cbrt 2) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) 62.232 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (cbrt 2) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (+ phi1 phi2)))))) 62.233 * * * * [progress]: [ 32 / 188 ] simplifiying candidate # 62.233 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 62.233 * * [simplify]: iters left: 6 (44 enodes) 62.250 * * [simplify]: iters left: 5 (198 enodes) 62.302 * * [simplify]: Extracting #0: cost 1 inf + 0 62.303 * * [simplify]: Extracting #1: cost 3 inf + 0 62.303 * * [simplify]: Extracting #2: cost 10 inf + 0 62.303 * * [simplify]: Extracting #3: cost 75 inf + 0 62.303 * * [simplify]: Extracting #4: cost 169 inf + 42 62.304 * * [simplify]: Extracting #5: cost 201 inf + 291 62.305 * * [simplify]: Extracting #6: cost 172 inf + 8541 62.307 * * [simplify]: Extracting #7: cost 117 inf + 21582 62.313 * * [simplify]: Extracting #8: cost 62 inf + 38387 62.330 * * [simplify]: Extracting #9: cost 17 inf + 69056 62.357 * * [simplify]: Extracting #10: cost 0 inf + 80198 62.385 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (cbrt 2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))))))))) 62.385 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (cbrt 2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ 1 (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 62.386 * * * * [progress]: [ 33 / 188 ] simplifiying candidate # 62.387 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 62.387 * * [simplify]: iters left: 6 (39 enodes) 62.412 * * [simplify]: iters left: 5 (170 enodes) 62.448 * * [simplify]: iters left: 4 (431 enodes) 62.662 * * [simplify]: Extracting #0: cost 1 inf + 0 62.662 * * [simplify]: Extracting #1: cost 3 inf + 0 62.662 * * [simplify]: Extracting #2: cost 13 inf + 0 62.663 * * [simplify]: Extracting #3: cost 199 inf + 0 62.666 * * [simplify]: Extracting #4: cost 514 inf + 85 62.671 * * [simplify]: Extracting #5: cost 572 inf + 14483 62.686 * * [simplify]: Extracting #6: cost 337 inf + 77805 62.710 * * [simplify]: Extracting #7: cost 212 inf + 120825 62.765 * * [simplify]: Extracting #8: cost 154 inf + 150456 62.835 * * [simplify]: Extracting #9: cost 15 inf + 246722 62.904 * * [simplify]: Extracting #10: cost 1 inf + 258076 62.979 * * [simplify]: Extracting #11: cost 0 inf + 259348 63.092 * * [simplify]: Extracting #12: cost 0 inf + 259347 63.206 * [simplify]: Simplified to (sqrt (+ (* (cbrt 2) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) 63.206 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt 2) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (+ (* (cos (/ (+ phi2 phi1) 2)) (cos (+ (/ (+ phi2 phi1) 2) (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (+ phi1 phi2)))))) 63.207 * * * * [progress]: [ 34 / 188 ] simplifiying candidate # 63.207 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 63.208 * * [simplify]: iters left: 6 (38 enodes) 63.229 * * [simplify]: iters left: 5 (183 enodes) 63.315 * * [simplify]: Extracting #0: cost 1 inf + 0 63.316 * * [simplify]: Extracting #1: cost 3 inf + 0 63.316 * * [simplify]: Extracting #2: cost 6 inf + 0 63.316 * * [simplify]: Extracting #3: cost 57 inf + 0 63.317 * * [simplify]: Extracting #4: cost 160 inf + 0 63.318 * * [simplify]: Extracting #5: cost 235 inf + 0 63.320 * * [simplify]: Extracting #6: cost 209 inf + 6484 63.324 * * [simplify]: Extracting #7: cost 122 inf + 27324 63.340 * * [simplify]: Extracting #8: cost 22 inf + 71492 63.362 * * [simplify]: Extracting #9: cost 2 inf + 80993 63.395 * * [simplify]: Extracting #10: cost 0 inf + 83523 63.411 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) 63.411 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 63.412 * * * * [progress]: [ 35 / 188 ] simplifiying candidate # 63.412 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 63.412 * * [simplify]: iters left: 6 (39 enodes) 63.425 * * [simplify]: iters left: 5 (190 enodes) 63.515 * * [simplify]: Extracting #0: cost 1 inf + 0 63.515 * * [simplify]: Extracting #1: cost 3 inf + 0 63.515 * * [simplify]: Extracting #2: cost 6 inf + 0 63.515 * * [simplify]: Extracting #3: cost 58 inf + 0 63.516 * * [simplify]: Extracting #4: cost 176 inf + 0 63.517 * * [simplify]: Extracting #5: cost 240 inf + 166 63.520 * * [simplify]: Extracting #6: cost 210 inf + 9694 63.535 * * [simplify]: Extracting #7: cost 96 inf + 50843 63.561 * * [simplify]: Extracting #8: cost 21 inf + 74145 63.592 * * [simplify]: Extracting #9: cost 1 inf + 81211 63.608 * * [simplify]: Extracting #10: cost 0 inf + 82556 63.628 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 63.628 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 63.628 * * * * [progress]: [ 36 / 188 ] simplifiying candidate # 63.629 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 63.629 * * [simplify]: iters left: 6 (39 enodes) 63.650 * * [simplify]: iters left: 5 (190 enodes) 63.710 * * [simplify]: Extracting #0: cost 1 inf + 0 63.710 * * [simplify]: Extracting #1: cost 3 inf + 0 63.710 * * [simplify]: Extracting #2: cost 6 inf + 0 63.711 * * [simplify]: Extracting #3: cost 60 inf + 0 63.711 * * [simplify]: Extracting #4: cost 174 inf + 0 63.713 * * [simplify]: Extracting #5: cost 238 inf + 44 63.715 * * [simplify]: Extracting #6: cost 216 inf + 4503 63.723 * * [simplify]: Extracting #7: cost 123 inf + 27462 63.752 * * [simplify]: Extracting #8: cost 10 inf + 74305 63.778 * * [simplify]: Extracting #9: cost 1 inf + 78523 63.807 * * [simplify]: Extracting #10: cost 0 inf + 79868 63.829 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 63.829 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 63.829 * * * * [progress]: [ 37 / 188 ] simplifiying candidate # 63.830 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 63.830 * * [simplify]: iters left: 6 (33 enodes) 63.840 * * [simplify]: iters left: 5 (156 enodes) 63.894 * * [simplify]: iters left: 4 (470 enodes) 64.181 * * [simplify]: Extracting #0: cost 1 inf + 0 64.182 * * [simplify]: Extracting #1: cost 3 inf + 0 64.182 * * [simplify]: Extracting #2: cost 20 inf + 0 64.183 * * [simplify]: Extracting #3: cost 243 inf + 0 64.186 * * [simplify]: Extracting #4: cost 620 inf + 578 64.193 * * [simplify]: Extracting #5: cost 653 inf + 25674 64.212 * * [simplify]: Extracting #6: cost 389 inf + 96664 64.260 * * [simplify]: Extracting #7: cost 263 inf + 135028 64.310 * * [simplify]: Extracting #8: cost 121 inf + 189363 64.407 * * [simplify]: Extracting #9: cost 7 inf + 248542 64.485 * * [simplify]: Extracting #10: cost 0 inf + 252978 64.555 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))) 64.555 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 64.555 * * * * [progress]: [ 38 / 188 ] simplifiying candidate # 64.555 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 64.555 * * [simplify]: iters left: 6 (38 enodes) 64.572 * * [simplify]: iters left: 5 (182 enodes) 64.625 * * [simplify]: Extracting #0: cost 1 inf + 0 64.626 * * [simplify]: Extracting #1: cost 3 inf + 0 64.626 * * [simplify]: Extracting #2: cost 10 inf + 0 64.626 * * [simplify]: Extracting #3: cost 76 inf + 0 64.626 * * [simplify]: Extracting #4: cost 163 inf + 1 64.627 * * [simplify]: Extracting #5: cost 212 inf + 126 64.628 * * [simplify]: Extracting #6: cost 166 inf + 17085 64.636 * * [simplify]: Extracting #7: cost 55 inf + 56896 64.655 * * [simplify]: Extracting #8: cost 7 inf + 73035 64.683 * * [simplify]: Extracting #9: cost 0 inf + 75608 64.709 * [simplify]: Simplified to (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) 64.709 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 64.710 * * * * [progress]: [ 39 / 188 ] simplifiying candidate # 64.710 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 64.710 * * [simplify]: iters left: 6 (33 enodes) 64.719 * * [simplify]: iters left: 5 (154 enodes) 64.769 * * [simplify]: iters left: 4 (446 enodes) 65.001 * * [simplify]: Extracting #0: cost 1 inf + 0 65.002 * * [simplify]: Extracting #1: cost 3 inf + 0 65.002 * * [simplify]: Extracting #2: cost 15 inf + 0 65.002 * * [simplify]: Extracting #3: cost 177 inf + 0 65.003 * * [simplify]: Extracting #4: cost 510 inf + 87 65.006 * * [simplify]: Extracting #5: cost 673 inf + 3184 65.019 * * [simplify]: Extracting #6: cost 387 inf + 75871 65.064 * * [simplify]: Extracting #7: cost 49 inf + 207845 65.153 * * [simplify]: Extracting #8: cost 4 inf + 230827 65.225 * * [simplify]: Extracting #9: cost 0 inf + 232619 65.302 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) 65.302 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 65.302 * * * * [progress]: [ 40 / 188 ] simplifiying candidate # 65.302 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 65.303 * * [simplify]: iters left: 6 (38 enodes) 65.316 * * [simplify]: iters left: 5 (182 enodes) 65.393 * * [simplify]: Extracting #0: cost 1 inf + 0 65.393 * * [simplify]: Extracting #1: cost 3 inf + 0 65.393 * * [simplify]: Extracting #2: cost 10 inf + 0 65.394 * * [simplify]: Extracting #3: cost 76 inf + 0 65.394 * * [simplify]: Extracting #4: cost 163 inf + 1 65.395 * * [simplify]: Extracting #5: cost 212 inf + 126 65.397 * * [simplify]: Extracting #6: cost 182 inf + 10891 65.403 * * [simplify]: Extracting #7: cost 72 inf + 42878 65.416 * * [simplify]: Extracting #8: cost 8 inf + 72109 65.442 * * [simplify]: Extracting #9: cost 0 inf + 76328 65.467 * [simplify]: Simplified to (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 65.467 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 65.468 * * * * [progress]: [ 41 / 188 ] simplifiying candidate # 65.468 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 65.468 * * [simplify]: iters left: 6 (33 enodes) 65.477 * * [simplify]: iters left: 5 (154 enodes) 65.531 * * [simplify]: iters left: 4 (446 enodes) 65.818 * * [simplify]: Extracting #0: cost 1 inf + 0 65.818 * * [simplify]: Extracting #1: cost 3 inf + 0 65.818 * * [simplify]: Extracting #2: cost 15 inf + 0 65.818 * * [simplify]: Extracting #3: cost 170 inf + 0 65.819 * * [simplify]: Extracting #4: cost 507 inf + 86 65.823 * * [simplify]: Extracting #5: cost 653 inf + 6813 65.842 * * [simplify]: Extracting #6: cost 316 inf + 102873 65.912 * * [simplify]: Extracting #7: cost 57 inf + 204138 65.981 * * [simplify]: Extracting #8: cost 0 inf + 229400 66.043 * * [simplify]: Extracting #9: cost 0 inf + 229080 66.097 * [simplify]: Simplified to (sqrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (+ (* lambda2 lambda1) (* lambda1 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda2 lambda1) (* lambda1 lambda1)) (* lambda2 lambda2)))))) 66.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi2 phi1) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (+ (* lambda2 lambda1) (* lambda1 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda2 lambda1) (* lambda1 lambda1)) (* lambda2 lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 66.097 * * * * [progress]: [ 42 / 188 ] simplifiying candidate # 66.098 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 66.098 * * [simplify]: iters left: 6 (40 enodes) 66.112 * * [simplify]: iters left: 5 (192 enodes) 66.173 * * [simplify]: Extracting #0: cost 1 inf + 0 66.173 * * [simplify]: Extracting #1: cost 3 inf + 0 66.173 * * [simplify]: Extracting #2: cost 6 inf + 0 66.173 * * [simplify]: Extracting #3: cost 57 inf + 0 66.173 * * [simplify]: Extracting #4: cost 171 inf + 0 66.174 * * [simplify]: Extracting #5: cost 239 inf + 2 66.175 * * [simplify]: Extracting #6: cost 199 inf + 10832 66.183 * * [simplify]: Extracting #7: cost 84 inf + 52893 66.206 * * [simplify]: Extracting #8: cost 23 inf + 75557 66.237 * * [simplify]: Extracting #9: cost 4 inf + 78066 66.265 * * [simplify]: Extracting #10: cost 3 inf + 79371 66.281 * * [simplify]: Extracting #11: cost 0 inf + 83366 66.299 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 66.299 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 66.300 * * * * [progress]: [ 43 / 188 ] simplifiying candidate # 66.301 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 66.301 * * [simplify]: iters left: 6 (41 enodes) 66.324 * * [simplify]: iters left: 5 (201 enodes) 66.387 * * [simplify]: Extracting #0: cost 1 inf + 0 66.387 * * [simplify]: Extracting #1: cost 3 inf + 0 66.387 * * [simplify]: Extracting #2: cost 6 inf + 0 66.387 * * [simplify]: Extracting #3: cost 61 inf + 0 66.388 * * [simplify]: Extracting #4: cost 194 inf + 0 66.388 * * [simplify]: Extracting #5: cost 245 inf + 499 66.391 * * [simplify]: Extracting #6: cost 162 inf + 15670 66.398 * * [simplify]: Extracting #7: cost 69 inf + 45634 66.414 * * [simplify]: Extracting #8: cost 4 inf + 84543 66.435 * * [simplify]: Extracting #9: cost 0 inf + 84383 66.454 * [simplify]: Simplified to (sqrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) 66.454 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ lambda2 lambda1) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 66.454 * * * * [progress]: [ 44 / 188 ] simplifiying candidate # 66.455 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 66.455 * * [simplify]: iters left: 6 (41 enodes) 66.477 * * [simplify]: iters left: 5 (201 enodes) 66.547 * * [simplify]: Extracting #0: cost 1 inf + 0 66.548 * * [simplify]: Extracting #1: cost 3 inf + 0 66.548 * * [simplify]: Extracting #2: cost 6 inf + 0 66.548 * * [simplify]: Extracting #3: cost 63 inf + 0 66.549 * * [simplify]: Extracting #4: cost 192 inf + 0 66.550 * * [simplify]: Extracting #5: cost 239 inf + 582 66.555 * * [simplify]: Extracting #6: cost 158 inf + 15540 66.568 * * [simplify]: Extracting #7: cost 62 inf + 48188 66.597 * * [simplify]: Extracting #8: cost 1 inf + 82618 66.613 * * [simplify]: Extracting #9: cost 0 inf + 82175 66.631 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 66.631 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 66.632 * * * * [progress]: [ 45 / 188 ] simplifiying candidate # 66.632 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 66.632 * * [simplify]: iters left: 6 (35 enodes) 66.648 * * [simplify]: iters left: 5 (165 enodes) 66.697 * * [simplify]: iters left: 4 (478 enodes) 66.943 * * [simplify]: Extracting #0: cost 1 inf + 0 66.944 * * [simplify]: Extracting #1: cost 3 inf + 0 66.944 * * [simplify]: Extracting #2: cost 20 inf + 0 66.945 * * [simplify]: Extracting #3: cost 280 inf + 0 66.947 * * [simplify]: Extracting #4: cost 745 inf + 293 66.952 * * [simplify]: Extracting #5: cost 770 inf + 12660 66.965 * * [simplify]: Extracting #6: cost 586 inf + 57020 66.997 * * [simplify]: Extracting #7: cost 331 inf + 136162 67.087 * * [simplify]: Extracting #8: cost 48 inf + 257756 67.162 * * [simplify]: Extracting #9: cost 1 inf + 285380 67.237 * * [simplify]: Extracting #10: cost 0 inf + 285843 67.320 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) 67.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 67.321 * * * * [progress]: [ 46 / 188 ] simplifiying candidate # 67.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 67.322 * * [simplify]: iters left: 6 (40 enodes) 67.343 * * [simplify]: iters left: 5 (193 enodes) 67.405 * * [simplify]: Extracting #0: cost 1 inf + 0 67.405 * * [simplify]: Extracting #1: cost 3 inf + 0 67.405 * * [simplify]: Extracting #2: cost 10 inf + 0 67.405 * * [simplify]: Extracting #3: cost 79 inf + 0 67.406 * * [simplify]: Extracting #4: cost 181 inf + 1 67.407 * * [simplify]: Extracting #5: cost 222 inf + 250 67.410 * * [simplify]: Extracting #6: cost 174 inf + 14956 67.424 * * [simplify]: Extracting #7: cost 55 inf + 63455 67.450 * * [simplify]: Extracting #8: cost 2 inf + 77952 67.477 * * [simplify]: Extracting #9: cost 0 inf + 76995 67.505 * * [simplify]: Extracting #10: cost 0 inf + 76955 67.536 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 67.536 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 67.537 * * * * [progress]: [ 47 / 188 ] simplifiying candidate # 67.537 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 67.538 * * [simplify]: iters left: 6 (35 enodes) 67.556 * * [simplify]: iters left: 5 (165 enodes) 67.626 * * [simplify]: iters left: 4 (471 enodes) 67.940 * * [simplify]: Extracting #0: cost 1 inf + 0 67.940 * * [simplify]: Extracting #1: cost 3 inf + 0 67.940 * * [simplify]: Extracting #2: cost 14 inf + 0 67.941 * * [simplify]: Extracting #3: cost 260 inf + 0 67.944 * * [simplify]: Extracting #4: cost 707 inf + 86 67.960 * * [simplify]: Extracting #5: cost 796 inf + 9617 67.986 * * [simplify]: Extracting #6: cost 567 inf + 62615 68.027 * * [simplify]: Extracting #7: cost 267 inf + 163133 68.085 * * [simplify]: Extracting #8: cost 18 inf + 270082 68.157 * * [simplify]: Extracting #9: cost 0 inf + 279308 68.248 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) 68.248 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 68.249 * * * * [progress]: [ 48 / 188 ] simplifiying candidate # 68.249 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 68.250 * * [simplify]: iters left: 6 (40 enodes) 68.265 * * [simplify]: iters left: 5 (193 enodes) 68.331 * * [simplify]: Extracting #0: cost 1 inf + 0 68.331 * * [simplify]: Extracting #1: cost 3 inf + 0 68.331 * * [simplify]: Extracting #2: cost 10 inf + 0 68.331 * * [simplify]: Extracting #3: cost 79 inf + 0 68.332 * * [simplify]: Extracting #4: cost 181 inf + 1 68.333 * * [simplify]: Extracting #5: cost 222 inf + 210 68.336 * * [simplify]: Extracting #6: cost 167 inf + 17297 68.347 * * [simplify]: Extracting #7: cost 54 inf + 64878 68.361 * * [simplify]: Extracting #8: cost 2 inf + 79152 68.376 * * [simplify]: Extracting #9: cost 0 inf + 77835 68.390 * * [simplify]: Extracting #10: cost 0 inf + 77755 68.414 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 68.414 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 68.415 * * * * [progress]: [ 49 / 188 ] simplifiying candidate # 68.415 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 68.415 * * [simplify]: iters left: 6 (35 enodes) 68.432 * * [simplify]: iters left: 5 (165 enodes) 68.478 * * [simplify]: iters left: 4 (471 enodes) 68.770 * * [simplify]: Extracting #0: cost 1 inf + 0 68.770 * * [simplify]: Extracting #1: cost 3 inf + 0 68.771 * * [simplify]: Extracting #2: cost 14 inf + 0 68.771 * * [simplify]: Extracting #3: cost 256 inf + 0 68.782 * * [simplify]: Extracting #4: cost 727 inf + 86 68.790 * * [simplify]: Extracting #5: cost 832 inf + 7292 68.816 * * [simplify]: Extracting #6: cost 582 inf + 65428 68.880 * * [simplify]: Extracting #7: cost 256 inf + 173419 68.951 * * [simplify]: Extracting #8: cost 22 inf + 277439 69.029 * * [simplify]: Extracting #9: cost 0 inf + 290170 69.123 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi2 phi1)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) 69.123 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi2 phi1)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 69.124 * * * * [progress]: [ 50 / 188 ] simplifiying candidate # 69.124 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 69.124 * * [simplify]: iters left: 6 (46 enodes) 69.138 * * [simplify]: iters left: 5 (208 enodes) 69.200 * * [simplify]: Extracting #0: cost 1 inf + 0 69.200 * * [simplify]: Extracting #1: cost 3 inf + 0 69.200 * * [simplify]: Extracting #2: cost 6 inf + 0 69.201 * * [simplify]: Extracting #3: cost 57 inf + 0 69.201 * * [simplify]: Extracting #4: cost 180 inf + 0 69.202 * * [simplify]: Extracting #5: cost 233 inf + 330 69.203 * * [simplify]: Extracting #6: cost 220 inf + 3102 69.205 * * [simplify]: Extracting #7: cost 146 inf + 18216 69.211 * * [simplify]: Extracting #8: cost 80 inf + 38113 69.219 * * [simplify]: Extracting #9: cost 59 inf + 45575 69.244 * * [simplify]: Extracting #10: cost 15 inf + 81745 69.280 * * [simplify]: Extracting #11: cost 0 inf + 95875 69.314 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (cbrt 2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) 69.314 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (cbrt 2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 69.315 * * * * [progress]: [ 51 / 188 ] simplifiying candidate # 69.315 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 69.316 * * [simplify]: iters left: 6 (47 enodes) 69.341 * * [simplify]: iters left: 5 (217 enodes) 69.414 * * [simplify]: Extracting #0: cost 1 inf + 0 69.414 * * [simplify]: Extracting #1: cost 3 inf + 0 69.414 * * [simplify]: Extracting #2: cost 6 inf + 0 69.414 * * [simplify]: Extracting #3: cost 61 inf + 0 69.415 * * [simplify]: Extracting #4: cost 203 inf + 0 69.417 * * [simplify]: Extracting #5: cost 234 inf + 2069 69.422 * * [simplify]: Extracting #6: cost 156 inf + 19707 69.435 * * [simplify]: Extracting #7: cost 86 inf + 42360 69.450 * * [simplify]: Extracting #8: cost 65 inf + 47637 69.466 * * [simplify]: Extracting #9: cost 56 inf + 51353 69.481 * * [simplify]: Extracting #10: cost 15 inf + 84465 69.499 * * [simplify]: Extracting #11: cost 0 inf + 98555 69.533 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (cbrt 2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (- phi1 phi2) (+ phi1 phi2))))) 69.533 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (cbrt 2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (- phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 69.533 * * * * [progress]: [ 52 / 188 ] simplifiying candidate # 69.534 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 69.534 * * [simplify]: iters left: 6 (47 enodes) 69.547 * * [simplify]: iters left: 5 (217 enodes) 69.620 * * [simplify]: Extracting #0: cost 1 inf + 0 69.620 * * [simplify]: Extracting #1: cost 3 inf + 0 69.620 * * [simplify]: Extracting #2: cost 6 inf + 0 69.620 * * [simplify]: Extracting #3: cost 63 inf + 0 69.621 * * [simplify]: Extracting #4: cost 201 inf + 0 69.621 * * [simplify]: Extracting #5: cost 237 inf + 746 69.624 * * [simplify]: Extracting #6: cost 159 inf + 15354 69.632 * * [simplify]: Extracting #7: cost 102 inf + 33996 69.639 * * [simplify]: Extracting #8: cost 78 inf + 42704 69.652 * * [simplify]: Extracting #9: cost 63 inf + 46975 69.668 * * [simplify]: Extracting #10: cost 55 inf + 50429 69.694 * * [simplify]: Extracting #11: cost 20 inf + 78027 69.714 * * [simplify]: Extracting #12: cost 0 inf + 96107 69.736 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt 2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 69.736 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt 2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 69.737 * * * * [progress]: [ 53 / 188 ] simplifiying candidate # 69.737 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 69.738 * * [simplify]: iters left: 6 (41 enodes) 69.762 * * [simplify]: iters left: 5 (181 enodes) 69.816 * * [simplify]: iters left: 4 (495 enodes) 70.173 * * [simplify]: Extracting #0: cost 1 inf + 0 70.173 * * [simplify]: Extracting #1: cost 3 inf + 0 70.173 * * [simplify]: Extracting #2: cost 16 inf + 0 70.182 * * [simplify]: Extracting #3: cost 251 inf + 0 70.186 * * [simplify]: Extracting #4: cost 760 inf + 291 70.194 * * [simplify]: Extracting #5: cost 829 inf + 10626 70.221 * * [simplify]: Extracting #6: cost 530 inf + 85572 70.267 * * [simplify]: Extracting #7: cost 332 inf + 164400 70.324 * * [simplify]: Extracting #8: cost 298 inf + 180005 70.395 * * [simplify]: Extracting #9: cost 281 inf + 185566 70.495 * * [simplify]: Extracting #10: cost 154 inf + 273103 70.610 * * [simplify]: Extracting #11: cost 8 inf + 384078 70.760 * * [simplify]: Extracting #12: cost 0 inf + 390956 70.909 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))))))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt 2) (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) 70.909 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))))))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt 2) (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 70.910 * * * * [progress]: [ 54 / 188 ] simplifiying candidate # 70.911 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 70.911 * * [simplify]: iters left: 6 (46 enodes) 70.930 * * [simplify]: iters left: 5 (209 enodes) 70.999 * * [simplify]: Extracting #0: cost 1 inf + 0 70.999 * * [simplify]: Extracting #1: cost 3 inf + 0 70.999 * * [simplify]: Extracting #2: cost 10 inf + 0 70.999 * * [simplify]: Extracting #3: cost 79 inf + 0 71.000 * * [simplify]: Extracting #4: cost 189 inf + 42 71.001 * * [simplify]: Extracting #5: cost 208 inf + 1964 71.005 * * [simplify]: Extracting #6: cost 152 inf + 13057 71.014 * * [simplify]: Extracting #7: cost 100 inf + 29335 71.026 * * [simplify]: Extracting #8: cost 66 inf + 41590 71.041 * * [simplify]: Extracting #9: cost 62 inf + 42583 71.055 * * [simplify]: Extracting #10: cost 54 inf + 45374 71.079 * * [simplify]: Extracting #11: cost 14 inf + 79000 71.096 * * [simplify]: Extracting #12: cost 0 inf + 89684 71.117 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (cbrt 2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) 71.117 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (cbrt 2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 71.118 * * * * [progress]: [ 55 / 188 ] simplifiying candidate # 71.118 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 71.119 * * [simplify]: iters left: 6 (41 enodes) 71.142 * * [simplify]: iters left: 5 (181 enodes) 71.191 * * [simplify]: iters left: 4 (488 enodes) 71.481 * * [simplify]: Extracting #0: cost 1 inf + 0 71.481 * * [simplify]: Extracting #1: cost 3 inf + 0 71.481 * * [simplify]: Extracting #2: cost 12 inf + 0 71.481 * * [simplify]: Extracting #3: cost 230 inf + 0 71.484 * * [simplify]: Extracting #4: cost 679 inf + 85 71.491 * * [simplify]: Extracting #5: cost 769 inf + 16802 71.512 * * [simplify]: Extracting #6: cost 507 inf + 83689 71.544 * * [simplify]: Extracting #7: cost 294 inf + 161550 71.611 * * [simplify]: Extracting #8: cost 251 inf + 178469 71.663 * * [simplify]: Extracting #9: cost 227 inf + 187991 71.728 * * [simplify]: Extracting #10: cost 136 inf + 246956 71.839 * * [simplify]: Extracting #11: cost 2 inf + 348337 71.931 * * [simplify]: Extracting #12: cost 0 inf + 349747 72.060 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2)) (* (cbrt 2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))))) 72.060 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2)) (* (cbrt 2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (+ phi1 phi2)))))) 72.061 * * * * [progress]: [ 56 / 188 ] simplifiying candidate # 72.061 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 72.062 * * [simplify]: iters left: 6 (46 enodes) 72.087 * * [simplify]: iters left: 5 (209 enodes) 72.155 * * [simplify]: Extracting #0: cost 1 inf + 0 72.155 * * [simplify]: Extracting #1: cost 3 inf + 0 72.155 * * [simplify]: Extracting #2: cost 10 inf + 0 72.156 * * [simplify]: Extracting #3: cost 79 inf + 0 72.157 * * [simplify]: Extracting #4: cost 189 inf + 42 72.158 * * [simplify]: Extracting #5: cost 205 inf + 2312 72.163 * * [simplify]: Extracting #6: cost 146 inf + 16040 72.171 * * [simplify]: Extracting #7: cost 89 inf + 35701 72.178 * * [simplify]: Extracting #8: cost 68 inf + 41624 72.184 * * [simplify]: Extracting #9: cost 62 inf + 43543 72.191 * * [simplify]: Extracting #10: cost 54 inf + 46535 72.208 * * [simplify]: Extracting #11: cost 14 inf + 80080 72.241 * * [simplify]: Extracting #12: cost 0 inf + 90644 72.277 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (cbrt 2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) 72.277 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (cbrt 2)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 72.277 * * * * [progress]: [ 57 / 188 ] simplifiying candidate # 72.278 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 72.279 * * [simplify]: iters left: 6 (41 enodes) 72.301 * * [simplify]: iters left: 5 (181 enodes) 72.356 * * [simplify]: iters left: 4 (488 enodes) 72.712 * * [simplify]: Extracting #0: cost 1 inf + 0 72.712 * * [simplify]: Extracting #1: cost 3 inf + 0 72.712 * * [simplify]: Extracting #2: cost 13 inf + 0 72.713 * * [simplify]: Extracting #3: cost 229 inf + 0 72.716 * * [simplify]: Extracting #4: cost 689 inf + 209 72.725 * * [simplify]: Extracting #5: cost 794 inf + 11523 72.742 * * [simplify]: Extracting #6: cost 513 inf + 82293 72.792 * * [simplify]: Extracting #7: cost 282 inf + 170512 72.848 * * [simplify]: Extracting #8: cost 242 inf + 185836 72.908 * * [simplify]: Extracting #9: cost 229 inf + 190695 72.986 * * [simplify]: Extracting #10: cost 141 inf + 248786 73.090 * * [simplify]: Extracting #11: cost 3 inf + 352287 73.205 * * [simplify]: Extracting #12: cost 0 inf + 354941 73.354 * [simplify]: Simplified to (sqrt (+ (* (cbrt 2) (* (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))))))))) 73.354 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt 2) (* (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2))) (+ phi1 phi2)))))) 73.355 * * * * [progress]: [ 58 / 188 ] simplifiying candidate # 73.355 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 73.356 * * [simplify]: iters left: 6 (40 enodes) 73.378 * * [simplify]: iters left: 5 (174 enodes) 73.452 * * [simplify]: iters left: 4 (497 enodes) 73.909 * * [simplify]: Extracting #0: cost 1 inf + 0 73.909 * * [simplify]: Extracting #1: cost 3 inf + 0 73.909 * * [simplify]: Extracting #2: cost 20 inf + 0 73.910 * * [simplify]: Extracting #3: cost 317 inf + 0 73.923 * * [simplify]: Extracting #4: cost 883 inf + 209 73.933 * * [simplify]: Extracting #5: cost 918 inf + 10766 73.963 * * [simplify]: Extracting #6: cost 654 inf + 83861 73.995 * * [simplify]: Extracting #7: cost 437 inf + 170428 74.048 * * [simplify]: Extracting #8: cost 403 inf + 184954 74.095 * * [simplify]: Extracting #9: cost 398 inf + 186090 74.175 * * [simplify]: Extracting #10: cost 241 inf + 295943 74.368 * * [simplify]: Extracting #11: cost 4 inf + 476087 74.570 * * [simplify]: Extracting #12: cost 0 inf + 479747 74.744 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (cbrt 2)))) 74.744 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))) (cbrt 2)))) (sqrt (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 74.745 * * * * [progress]: [ 59 / 188 ] simplifiying candidate # 74.745 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 74.746 * * [simplify]: iters left: 6 (41 enodes) 74.770 * * [simplify]: iters left: 5 (183 enodes) 74.839 * * [simplify]: Extracting #0: cost 1 inf + 0 74.839 * * [simplify]: Extracting #1: cost 3 inf + 0 74.839 * * [simplify]: Extracting #2: cost 6 inf + 0 74.839 * * [simplify]: Extracting #3: cost 61 inf + 0 74.840 * * [simplify]: Extracting #4: cost 191 inf + 0 74.841 * * [simplify]: Extracting #5: cost 205 inf + 3327 74.843 * * [simplify]: Extracting #6: cost 130 inf + 15780 74.847 * * [simplify]: Extracting #7: cost 87 inf + 29433 74.854 * * [simplify]: Extracting #8: cost 65 inf + 35819 74.867 * * [simplify]: Extracting #9: cost 55 inf + 39851 74.889 * * [simplify]: Extracting #10: cost 15 inf + 68919 74.911 * * [simplify]: Extracting #11: cost 0 inf + 81169 74.929 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (cbrt 2) (+ lambda1 lambda2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) 74.929 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (* (cbrt 2) (+ lambda1 lambda2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 74.929 * * * * [progress]: [ 60 / 188 ] simplifiying candidate # 74.930 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 74.930 * * [simplify]: iters left: 6 (41 enodes) 74.953 * * [simplify]: iters left: 5 (183 enodes) 75.011 * * [simplify]: Extracting #0: cost 1 inf + 0 75.011 * * [simplify]: Extracting #1: cost 3 inf + 0 75.011 * * [simplify]: Extracting #2: cost 6 inf + 0 75.011 * * [simplify]: Extracting #3: cost 63 inf + 0 75.012 * * [simplify]: Extracting #4: cost 189 inf + 0 75.013 * * [simplify]: Extracting #5: cost 211 inf + 869 75.018 * * [simplify]: Extracting #6: cost 128 inf + 15982 75.028 * * [simplify]: Extracting #7: cost 78 inf + 31630 75.040 * * [simplify]: Extracting #8: cost 63 inf + 35887 75.047 * * [simplify]: Extracting #9: cost 52 inf + 41221 75.058 * * [simplify]: Extracting #10: cost 13 inf + 69723 75.080 * * [simplify]: Extracting #11: cost 0 inf + 79761 75.108 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (cbrt 2) (* (- phi1 phi2) (+ phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) 75.108 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (cbrt 2) (* (- phi1 phi2) (+ phi1 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 75.109 * * * * [progress]: [ 61 / 188 ] simplifiying candidate # 75.109 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 75.110 * * [simplify]: iters left: 6 (34 enodes) 75.127 * * [simplify]: iters left: 5 (142 enodes) 75.168 * * [simplify]: iters left: 4 (399 enodes) 75.403 * * [simplify]: Extracting #0: cost 1 inf + 0 75.403 * * [simplify]: Extracting #1: cost 3 inf + 0 75.403 * * [simplify]: Extracting #2: cost 16 inf + 0 75.404 * * [simplify]: Extracting #3: cost 232 inf + 0 75.407 * * [simplify]: Extracting #4: cost 638 inf + 535 75.419 * * [simplify]: Extracting #5: cost 576 inf + 28918 75.453 * * [simplify]: Extracting #6: cost 326 inf + 92997 75.494 * * [simplify]: Extracting #7: cost 264 inf + 116089 75.524 * * [simplify]: Extracting #8: cost 261 inf + 116861 75.560 * * [simplify]: Extracting #9: cost 256 inf + 118038 75.616 * * [simplify]: Extracting #10: cost 139 inf + 191846 75.679 * * [simplify]: Extracting #11: cost 6 inf + 277885 75.790 * * [simplify]: Extracting #12: cost 0 inf + 281874 75.900 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (cbrt 2) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)))))) 75.900 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (cbrt 2) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 75.901 * * * * [progress]: [ 62 / 188 ] simplifiying candidate # 75.901 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 75.901 * * [simplify]: iters left: 6 (40 enodes) 75.917 * * [simplify]: iters left: 5 (175 enodes) 75.965 * * [simplify]: iters left: 4 (473 enodes) 76.279 * * [simplify]: Extracting #0: cost 1 inf + 0 76.279 * * [simplify]: Extracting #1: cost 3 inf + 0 76.279 * * [simplify]: Extracting #2: cost 18 inf + 0 76.280 * * [simplify]: Extracting #3: cost 282 inf + 0 76.284 * * [simplify]: Extracting #4: cost 735 inf + 372 76.291 * * [simplify]: Extracting #5: cost 814 inf + 4332 76.314 * * [simplify]: Extracting #6: cost 564 inf + 65350 76.351 * * [simplify]: Extracting #7: cost 344 inf + 150020 76.396 * * [simplify]: Extracting #8: cost 317 inf + 160450 76.441 * * [simplify]: Extracting #9: cost 311 inf + 161909 76.494 * * [simplify]: Extracting #10: cost 193 inf + 241156 76.608 * * [simplify]: Extracting #11: cost 7 inf + 369283 76.712 * * [simplify]: Extracting #12: cost 0 inf + 375797 76.834 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (* (+ lambda1 lambda2) (cbrt 2)) (+ lambda1 lambda2)) (- phi1 phi2))) (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) 76.834 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (* (+ lambda1 lambda2) (cbrt 2)) (+ lambda1 lambda2)) (- phi1 phi2))) (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 76.834 * * * * [progress]: [ 63 / 188 ] simplifiying candidate # 76.835 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 76.835 * * [simplify]: iters left: 6 (34 enodes) 76.846 * * [simplify]: iters left: 5 (142 enodes) 76.891 * * [simplify]: iters left: 4 (392 enodes) 77.222 * * [simplify]: Extracting #0: cost 1 inf + 0 77.222 * * [simplify]: Extracting #1: cost 3 inf + 0 77.222 * * [simplify]: Extracting #2: cost 13 inf + 0 77.223 * * [simplify]: Extracting #3: cost 219 inf + 0 77.226 * * [simplify]: Extracting #4: cost 591 inf + 44 77.238 * * [simplify]: Extracting #5: cost 556 inf + 28464 77.279 * * [simplify]: Extracting #6: cost 258 inf + 104574 77.322 * * [simplify]: Extracting #7: cost 228 inf + 116402 77.348 * * [simplify]: Extracting #8: cost 224 inf + 117439 77.404 * * [simplify]: Extracting #9: cost 181 inf + 141325 77.500 * * [simplify]: Extracting #10: cost 29 inf + 239488 77.577 * * [simplify]: Extracting #11: cost 0 inf + 259633 77.665 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (cbrt 2) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 77.666 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (cbrt 2) (+ lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (+ phi1 phi2)))))) 77.666 * * * * [progress]: [ 64 / 188 ] simplifiying candidate # 77.666 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 77.667 * * [simplify]: iters left: 6 (40 enodes) 77.678 * * [simplify]: iters left: 5 (175 enodes) 77.738 * * [simplify]: iters left: 4 (473 enodes) 78.089 * * [simplify]: Extracting #0: cost 1 inf + 0 78.090 * * [simplify]: Extracting #1: cost 3 inf + 0 78.090 * * [simplify]: Extracting #2: cost 18 inf + 0 78.091 * * [simplify]: Extracting #3: cost 266 inf + 0 78.095 * * [simplify]: Extracting #4: cost 699 inf + 291 78.101 * * [simplify]: Extracting #5: cost 752 inf + 20884 78.117 * * [simplify]: Extracting #6: cost 511 inf + 86542 78.150 * * [simplify]: Extracting #7: cost 359 inf + 144033 78.181 * * [simplify]: Extracting #8: cost 318 inf + 160013 78.214 * * [simplify]: Extracting #9: cost 310 inf + 161908 78.278 * * [simplify]: Extracting #10: cost 156 inf + 265836 78.381 * * [simplify]: Extracting #11: cost 6 inf + 370905 78.512 * * [simplify]: Extracting #12: cost 0 inf + 376732 78.662 * [simplify]: Simplified to (sqrt (+ (* (cbrt 2) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) 78.662 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt 2) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 78.662 * * * * [progress]: [ 65 / 188 ] simplifiying candidate # 78.663 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 78.663 * * [simplify]: iters left: 6 (34 enodes) 78.673 * * [simplify]: iters left: 5 (142 enodes) 78.709 * * [simplify]: iters left: 4 (392 enodes) 79.002 * * [simplify]: Extracting #0: cost 1 inf + 0 79.002 * * [simplify]: Extracting #1: cost 3 inf + 0 79.002 * * [simplify]: Extracting #2: cost 13 inf + 0 79.003 * * [simplify]: Extracting #3: cost 216 inf + 0 79.006 * * [simplify]: Extracting #4: cost 600 inf + 85 79.019 * * [simplify]: Extracting #5: cost 557 inf + 29910 79.065 * * [simplify]: Extracting #6: cost 245 inf + 111678 79.091 * * [simplify]: Extracting #7: cost 228 inf + 118545 79.117 * * [simplify]: Extracting #8: cost 224 inf + 119502 79.155 * * [simplify]: Extracting #9: cost 160 inf + 157654 79.260 * * [simplify]: Extracting #10: cost 11 inf + 254964 79.373 * * [simplify]: Extracting #11: cost 0 inf + 262096 79.450 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (cbrt 2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))))) 79.450 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (cbrt 2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ lambda1 lambda2) (cbrt 2))) (+ phi1 phi2)))))) 79.451 * * * * [progress]: [ 66 / 188 ] simplifiying candidate # 79.451 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 79.451 * * [simplify]: iters left: 6 (40 enodes) 79.464 * * [simplify]: iters left: 5 (172 enodes) 79.536 * * [simplify]: iters left: 4 (470 enodes) 79.905 * * [simplify]: Extracting #0: cost 1 inf + 0 79.905 * * [simplify]: Extracting #1: cost 3 inf + 0 79.905 * * [simplify]: Extracting #2: cost 20 inf + 0 79.906 * * [simplify]: Extracting #3: cost 310 inf + 0 79.908 * * [simplify]: Extracting #4: cost 873 inf + 331 79.914 * * [simplify]: Extracting #5: cost 847 inf + 16957 79.946 * * [simplify]: Extracting #6: cost 571 inf + 98198 79.987 * * [simplify]: Extracting #7: cost 422 inf + 156283 80.031 * * [simplify]: Extracting #8: cost 415 inf + 154867 80.087 * * [simplify]: Extracting #9: cost 410 inf + 155863 80.154 * * [simplify]: Extracting #10: cost 374 inf + 178152 80.295 * * [simplify]: Extracting #11: cost 41 inf + 416050 80.455 * * [simplify]: Extracting #12: cost 0 inf + 445290 80.592 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt 2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- lambda1 lambda2)) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))))) 80.592 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt 2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (- lambda1 lambda2)) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 80.592 * * * * [progress]: [ 67 / 188 ] simplifiying candidate # 80.593 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 80.593 * * [simplify]: iters left: 6 (41 enodes) 80.606 * * [simplify]: iters left: 5 (181 enodes) 80.658 * * [simplify]: Extracting #0: cost 1 inf + 0 80.658 * * [simplify]: Extracting #1: cost 3 inf + 0 80.658 * * [simplify]: Extracting #2: cost 6 inf + 0 80.658 * * [simplify]: Extracting #3: cost 57 inf + 0 80.659 * * [simplify]: Extracting #4: cost 179 inf + 0 80.660 * * [simplify]: Extracting #5: cost 204 inf + 988 80.663 * * [simplify]: Extracting #6: cost 151 inf + 8481 80.670 * * [simplify]: Extracting #7: cost 92 inf + 25856 80.685 * * [simplify]: Extracting #8: cost 66 inf + 32862 80.696 * * [simplify]: Extracting #9: cost 52 inf + 38724 80.712 * * [simplify]: Extracting #10: cost 5 inf + 73294 80.726 * * [simplify]: Extracting #11: cost 0 inf + 77444 80.748 * * [simplify]: Extracting #12: cost 0 inf + 76364 80.763 * * [simplify]: Extracting #13: cost 0 inf + 76284 80.778 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt 2) (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))))))) (cos (/ (+ phi1 phi2) 2)))))))) 80.778 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt 2) (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))))))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 80.779 * * * * [progress]: [ 68 / 188 ] simplifiying candidate # 80.779 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 80.780 * * [simplify]: iters left: 6 (41 enodes) 80.803 * * [simplify]: iters left: 5 (181 enodes) 80.881 * * [simplify]: Extracting #0: cost 1 inf + 0 80.881 * * [simplify]: Extracting #1: cost 3 inf + 0 80.881 * * [simplify]: Extracting #2: cost 6 inf + 0 80.881 * * [simplify]: Extracting #3: cost 59 inf + 0 80.882 * * [simplify]: Extracting #4: cost 177 inf + 0 80.883 * * [simplify]: Extracting #5: cost 202 inf + 743 80.887 * * [simplify]: Extracting #6: cost 121 inf + 15663 80.896 * * [simplify]: Extracting #7: cost 76 inf + 27652 80.906 * * [simplify]: Extracting #8: cost 62 inf + 31609 80.919 * * [simplify]: Extracting #9: cost 48 inf + 38596 80.933 * * [simplify]: Extracting #10: cost 4 inf + 70412 80.949 * * [simplify]: Extracting #11: cost 0 inf + 72916 80.963 * * [simplify]: Extracting #12: cost 0 inf + 72796 80.977 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt 2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))))))) (cos (/ (+ phi1 phi2) 2))))))))) 80.977 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt 2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))))))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 80.977 * * * * [progress]: [ 69 / 188 ] simplifiying candidate # 80.977 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 80.978 * * [simplify]: iters left: 6 (34 enodes) 80.988 * * [simplify]: iters left: 5 (140 enodes) 81.032 * * [simplify]: iters left: 4 (372 enodes) 81.211 * * [simplify]: Extracting #0: cost 1 inf + 0 81.211 * * [simplify]: Extracting #1: cost 3 inf + 0 81.211 * * [simplify]: Extracting #2: cost 16 inf + 0 81.211 * * [simplify]: Extracting #3: cost 231 inf + 0 81.213 * * [simplify]: Extracting #4: cost 610 inf + 493 81.217 * * [simplify]: Extracting #5: cost 545 inf + 19361 81.242 * * [simplify]: Extracting #6: cost 329 inf + 71416 81.263 * * [simplify]: Extracting #7: cost 268 inf + 89689 81.290 * * [simplify]: Extracting #8: cost 261 inf + 91396 81.337 * * [simplify]: Extracting #9: cost 182 inf + 139119 81.413 * * [simplify]: Extracting #10: cost 15 inf + 243596 81.500 * * [simplify]: Extracting #11: cost 0 inf + 252953 81.613 * * [simplify]: Extracting #12: cost 0 inf + 252938 81.697 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (cbrt 2)))))) 81.697 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (cbrt 2)))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 81.697 * * * * [progress]: [ 70 / 188 ] simplifiying candidate # 81.697 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 81.698 * * [simplify]: iters left: 6 (40 enodes) 81.709 * * [simplify]: iters left: 5 (173 enodes) 81.768 * * [simplify]: iters left: 4 (446 enodes) 82.108 * * [simplify]: Extracting #0: cost 1 inf + 0 82.109 * * [simplify]: Extracting #1: cost 3 inf + 0 82.109 * * [simplify]: Extracting #2: cost 17 inf + 0 82.109 * * [simplify]: Extracting #3: cost 273 inf + 0 82.111 * * [simplify]: Extracting #4: cost 693 inf + 208 82.118 * * [simplify]: Extracting #5: cost 660 inf + 24376 82.140 * * [simplify]: Extracting #6: cost 372 inf + 109496 82.195 * * [simplify]: Extracting #7: cost 316 inf + 128673 82.222 * * [simplify]: Extracting #8: cost 313 inf + 129032 82.268 * * [simplify]: Extracting #9: cost 308 inf + 130028 82.326 * * [simplify]: Extracting #10: cost 272 inf + 152124 82.409 * * [simplify]: Extracting #11: cost 43 inf + 304731 82.508 * * [simplify]: Extracting #12: cost 0 inf + 333817 82.637 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt 2) (* (- phi1 phi2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 82.637 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt 2) (* (- phi1 phi2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 82.637 * * * * [progress]: [ 71 / 188 ] simplifiying candidate # 82.637 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 82.638 * * [simplify]: iters left: 6 (34 enodes) 82.647 * * [simplify]: iters left: 5 (140 enodes) 82.677 * * [simplify]: iters left: 4 (365 enodes) 82.894 * * [simplify]: Extracting #0: cost 1 inf + 0 82.894 * * [simplify]: Extracting #1: cost 3 inf + 0 82.894 * * [simplify]: Extracting #2: cost 13 inf + 0 82.895 * * [simplify]: Extracting #3: cost 207 inf + 0 82.897 * * [simplify]: Extracting #4: cost 531 inf + 166 82.906 * * [simplify]: Extracting #5: cost 496 inf + 21676 82.936 * * [simplify]: Extracting #6: cost 234 inf + 82830 82.977 * * [simplify]: Extracting #7: cost 216 inf + 88433 82.999 * * [simplify]: Extracting #8: cost 213 inf + 89205 83.019 * * [simplify]: Extracting #9: cost 207 inf + 90705 83.059 * * [simplify]: Extracting #10: cost 144 inf + 129160 83.122 * * [simplify]: Extracting #11: cost 2 inf + 219120 83.226 * * [simplify]: Extracting #12: cost 0 inf + 220410 83.308 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt 2))))) 83.308 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt 2))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (+ phi1 phi2)))))) 83.308 * * * * [progress]: [ 72 / 188 ] simplifiying candidate # 83.309 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 83.309 * * [simplify]: iters left: 6 (40 enodes) 83.323 * * [simplify]: iters left: 5 (173 enodes) 83.369 * * [simplify]: iters left: 4 (446 enodes) 83.679 * * [simplify]: Extracting #0: cost 1 inf + 0 83.679 * * [simplify]: Extracting #1: cost 3 inf + 0 83.679 * * [simplify]: Extracting #2: cost 17 inf + 0 83.680 * * [simplify]: Extracting #3: cost 257 inf + 0 83.684 * * [simplify]: Extracting #4: cost 654 inf + 291 83.692 * * [simplify]: Extracting #5: cost 702 inf + 10609 83.717 * * [simplify]: Extracting #6: cost 483 inf + 66542 83.755 * * [simplify]: Extracting #7: cost 335 inf + 119674 83.783 * * [simplify]: Extracting #8: cost 317 inf + 127135 83.808 * * [simplify]: Extracting #9: cost 308 inf + 129019 83.838 * * [simplify]: Extracting #10: cost 272 inf + 151036 83.947 * * [simplify]: Extracting #11: cost 49 inf + 300213 84.055 * * [simplify]: Extracting #12: cost 0 inf + 333008 84.176 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (cbrt 2))))) 84.176 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (cbrt 2))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 84.177 * * * * [progress]: [ 73 / 188 ] simplifiying candidate # 84.177 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 84.177 * * [simplify]: iters left: 6 (34 enodes) 84.193 * * [simplify]: iters left: 5 (140 enodes) 84.227 * * [simplify]: iters left: 4 (365 enodes) 84.410 * * [simplify]: Extracting #0: cost 1 inf + 0 84.410 * * [simplify]: Extracting #1: cost 3 inf + 0 84.410 * * [simplify]: Extracting #2: cost 13 inf + 0 84.411 * * [simplify]: Extracting #3: cost 204 inf + 0 84.412 * * [simplify]: Extracting #4: cost 539 inf + 44 84.419 * * [simplify]: Extracting #5: cost 540 inf + 11387 84.433 * * [simplify]: Extracting #6: cost 263 inf + 75642 84.453 * * [simplify]: Extracting #7: cost 216 inf + 89283 84.479 * * [simplify]: Extracting #8: cost 212 inf + 90338 84.517 * * [simplify]: Extracting #9: cost 208 inf + 91232 84.572 * * [simplify]: Extracting #10: cost 131 inf + 137594 84.652 * * [simplify]: Extracting #11: cost 6 inf + 216911 84.730 * * [simplify]: Extracting #12: cost 0 inf + 221180 84.801 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt 2))))) 84.801 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt 2))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (+ phi1 phi2)))))) 84.802 * * * * [progress]: [ 74 / 188 ] simplifiying candidate # 84.802 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 84.803 * * [simplify]: iters left: 6 (40 enodes) 84.826 * * [simplify]: iters left: 5 (192 enodes) 84.892 * * [simplify]: Extracting #0: cost 1 inf + 0 84.892 * * [simplify]: Extracting #1: cost 3 inf + 0 84.892 * * [simplify]: Extracting #2: cost 6 inf + 0 84.892 * * [simplify]: Extracting #3: cost 57 inf + 0 84.893 * * [simplify]: Extracting #4: cost 167 inf + 0 84.894 * * [simplify]: Extracting #5: cost 225 inf + 370 84.897 * * [simplify]: Extracting #6: cost 188 inf + 5814 84.903 * * [simplify]: Extracting #7: cost 128 inf + 19686 84.919 * * [simplify]: Extracting #8: cost 37 inf + 61344 84.946 * * [simplify]: Extracting #9: cost 2 inf + 82582 84.977 * * [simplify]: Extracting #10: cost 0 inf + 82838 84.999 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 84.999 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 84.999 * * * * [progress]: [ 75 / 188 ] simplifiying candidate # 85.000 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 85.000 * * [simplify]: iters left: 6 (41 enodes) 85.012 * * [simplify]: iters left: 5 (201 enodes) 85.066 * * [simplify]: Extracting #0: cost 1 inf + 0 85.067 * * [simplify]: Extracting #1: cost 3 inf + 0 85.067 * * [simplify]: Extracting #2: cost 6 inf + 0 85.067 * * [simplify]: Extracting #3: cost 61 inf + 0 85.067 * * [simplify]: Extracting #4: cost 190 inf + 0 85.068 * * [simplify]: Extracting #5: cost 231 inf + 867 85.070 * * [simplify]: Extracting #6: cost 139 inf + 17804 85.087 * * [simplify]: Extracting #7: cost 55 inf + 55735 85.117 * * [simplify]: Extracting #8: cost 1 inf + 83723 85.135 * * [simplify]: Extracting #9: cost 0 inf + 83895 85.152 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))))) 85.152 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 85.153 * * * * [progress]: [ 76 / 188 ] simplifiying candidate # 85.153 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 85.153 * * [simplify]: iters left: 6 (41 enodes) 85.169 * * [simplify]: iters left: 5 (201 enodes) 85.243 * * [simplify]: Extracting #0: cost 1 inf + 0 85.243 * * [simplify]: Extracting #1: cost 3 inf + 0 85.243 * * [simplify]: Extracting #2: cost 6 inf + 0 85.243 * * [simplify]: Extracting #3: cost 63 inf + 0 85.243 * * [simplify]: Extracting #4: cost 188 inf + 0 85.244 * * [simplify]: Extracting #5: cost 229 inf + 744 85.248 * * [simplify]: Extracting #6: cost 130 inf + 20527 85.256 * * [simplify]: Extracting #7: cost 56 inf + 46978 85.275 * * [simplify]: Extracting #8: cost 4 inf + 80679 85.291 * * [simplify]: Extracting #9: cost 0 inf + 81527 85.314 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) 85.314 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 85.315 * * * * [progress]: [ 77 / 188 ] simplifiying candidate # 85.315 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 85.315 * * [simplify]: iters left: 6 (35 enodes) 85.331 * * [simplify]: iters left: 5 (165 enodes) 85.369 * * [simplify]: iters left: 4 (476 enodes) 85.656 * * [simplify]: Extracting #0: cost 1 inf + 0 85.656 * * [simplify]: Extracting #1: cost 3 inf + 0 85.656 * * [simplify]: Extracting #2: cost 20 inf + 0 85.657 * * [simplify]: Extracting #3: cost 287 inf + 0 85.659 * * [simplify]: Extracting #4: cost 735 inf + 291 85.663 * * [simplify]: Extracting #5: cost 797 inf + 10926 85.677 * * [simplify]: Extracting #6: cost 562 inf + 66576 85.732 * * [simplify]: Extracting #7: cost 310 inf + 148229 85.817 * * [simplify]: Extracting #8: cost 42 inf + 267477 85.905 * * [simplify]: Extracting #9: cost 1 inf + 291512 86.020 * * [simplify]: Extracting #10: cost 0 inf + 292057 86.104 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) 86.104 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 86.105 * * * * [progress]: [ 78 / 188 ] simplifiying candidate # 86.105 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 86.105 * * [simplify]: iters left: 6 (40 enodes) 86.116 * * [simplify]: iters left: 5 (193 enodes) 86.164 * * [simplify]: Extracting #0: cost 1 inf + 0 86.165 * * [simplify]: Extracting #1: cost 3 inf + 0 86.165 * * [simplify]: Extracting #2: cost 10 inf + 0 86.165 * * [simplify]: Extracting #3: cost 79 inf + 0 86.165 * * [simplify]: Extracting #4: cost 176 inf + 42 86.166 * * [simplify]: Extracting #5: cost 202 inf + 1229 86.168 * * [simplify]: Extracting #6: cost 132 inf + 16120 86.176 * * [simplify]: Extracting #7: cost 43 inf + 59058 86.196 * * [simplify]: Extracting #8: cost 7 inf + 74709 86.213 * * [simplify]: Extracting #9: cost 0 inf + 76507 86.227 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 86.227 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 86.228 * * * * [progress]: [ 79 / 188 ] simplifiying candidate # 86.228 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 86.228 * * [simplify]: iters left: 6 (35 enodes) 86.241 * * [simplify]: iters left: 5 (165 enodes) 86.280 * * [simplify]: iters left: 4 (469 enodes) 86.523 * * [simplify]: Extracting #0: cost 1 inf + 0 86.523 * * [simplify]: Extracting #1: cost 3 inf + 0 86.523 * * [simplify]: Extracting #2: cost 15 inf + 0 86.524 * * [simplify]: Extracting #3: cost 255 inf + 0 86.527 * * [simplify]: Extracting #4: cost 691 inf + 85 86.536 * * [simplify]: Extracting #5: cost 797 inf + 9823 86.559 * * [simplify]: Extracting #6: cost 581 inf + 58785 86.588 * * [simplify]: Extracting #7: cost 290 inf + 153522 86.656 * * [simplify]: Extracting #8: cost 40 inf + 261408 86.757 * * [simplify]: Extracting #9: cost 0 inf + 280007 86.840 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))))) 86.840 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 86.840 * * * * [progress]: [ 80 / 188 ] simplifiying candidate # 86.841 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 86.841 * * [simplify]: iters left: 6 (40 enodes) 86.853 * * [simplify]: iters left: 5 (193 enodes) 86.917 * * [simplify]: Extracting #0: cost 1 inf + 0 86.917 * * [simplify]: Extracting #1: cost 3 inf + 0 86.917 * * [simplify]: Extracting #2: cost 10 inf + 0 86.917 * * [simplify]: Extracting #3: cost 79 inf + 0 86.918 * * [simplify]: Extracting #4: cost 176 inf + 42 86.918 * * [simplify]: Extracting #5: cost 203 inf + 1148 86.921 * * [simplify]: Extracting #6: cost 138 inf + 13972 86.929 * * [simplify]: Extracting #7: cost 42 inf + 60398 86.943 * * [simplify]: Extracting #8: cost 4 inf + 76836 86.958 * * [simplify]: Extracting #9: cost 0 inf + 77347 86.985 * * [simplify]: Extracting #10: cost 0 inf + 77307 87.015 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 87.015 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 87.016 * * * * [progress]: [ 81 / 188 ] simplifiying candidate # 87.016 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 87.017 * * [simplify]: iters left: 6 (35 enodes) 87.039 * * [simplify]: iters left: 5 (165 enodes) 87.113 * * [simplify]: iters left: 4 (469 enodes) 87.872 * * [simplify]: Extracting #0: cost 1 inf + 0 87.872 * * [simplify]: Extracting #1: cost 3 inf + 0 87.872 * * [simplify]: Extracting #2: cost 15 inf + 0 87.872 * * [simplify]: Extracting #3: cost 251 inf + 0 87.874 * * [simplify]: Extracting #4: cost 700 inf + 85 87.879 * * [simplify]: Extracting #5: cost 812 inf + 9773 87.895 * * [simplify]: Extracting #6: cost 602 inf + 56861 87.947 * * [simplify]: Extracting #7: cost 286 inf + 156574 88.014 * * [simplify]: Extracting #8: cost 19 inf + 271357 88.085 * * [simplify]: Extracting #9: cost 0 inf + 280968 88.183 * * [simplify]: Extracting #10: cost 0 inf + 280928 88.246 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 88.246 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (+ phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 88.247 * * * * [progress]: [ 82 / 188 ] simplifiying candidate # 88.247 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 88.247 * * [simplify]: iters left: 6 (34 enodes) 88.257 * * [simplify]: iters left: 5 (159 enodes) 88.302 * * [simplify]: iters left: 4 (476 enodes) 88.625 * * [simplify]: Extracting #0: cost 1 inf + 0 88.625 * * [simplify]: Extracting #1: cost 3 inf + 0 88.625 * * [simplify]: Extracting #2: cost 24 inf + 0 88.626 * * [simplify]: Extracting #3: cost 270 inf + 0 88.633 * * [simplify]: Extracting #4: cost 718 inf + 293 88.645 * * [simplify]: Extracting #5: cost 750 inf + 27514 88.667 * * [simplify]: Extracting #6: cost 504 inf + 98302 88.710 * * [simplify]: Extracting #7: cost 327 inf + 153638 88.795 * * [simplify]: Extracting #8: cost 52 inf + 282239 88.904 * * [simplify]: Extracting #9: cost 3 inf + 307493 89.005 * * [simplify]: Extracting #10: cost 0 inf + 309208 89.111 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) 89.111 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 89.111 * * * * [progress]: [ 83 / 188 ] simplifiying candidate # 89.111 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 89.111 * * [simplify]: iters left: 6 (35 enodes) 89.121 * * [simplify]: iters left: 5 (166 enodes) 89.162 * * [simplify]: iters left: 4 (496 enodes) 89.476 * * [simplify]: Extracting #0: cost 1 inf + 0 89.476 * * [simplify]: Extracting #1: cost 3 inf + 0 89.476 * * [simplify]: Extracting #2: cost 20 inf + 0 89.477 * * [simplify]: Extracting #3: cost 283 inf + 0 89.479 * * [simplify]: Extracting #4: cost 673 inf + 170 89.484 * * [simplify]: Extracting #5: cost 842 inf + 14950 89.503 * * [simplify]: Extracting #6: cost 595 inf + 76565 89.540 * * [simplify]: Extracting #7: cost 313 inf + 177405 89.666 * * [simplify]: Extracting #8: cost 13 inf + 310542 89.786 * * [simplify]: Extracting #9: cost 0 inf + 314721 89.898 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) 89.898 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 89.899 * * * * [progress]: [ 84 / 188 ] simplifiying candidate # 89.899 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 89.900 * * [simplify]: iters left: 6 (35 enodes) 89.919 * * [simplify]: iters left: 5 (166 enodes) 89.966 * * [simplify]: iters left: 4 (494 enodes) 90.302 * * [simplify]: Extracting #0: cost 1 inf + 0 90.302 * * [simplify]: Extracting #1: cost 3 inf + 0 90.302 * * [simplify]: Extracting #2: cost 24 inf + 0 90.303 * * [simplify]: Extracting #3: cost 319 inf + 0 90.308 * * [simplify]: Extracting #4: cost 713 inf + 497 90.319 * * [simplify]: Extracting #5: cost 772 inf + 20716 90.353 * * [simplify]: Extracting #6: cost 518 inf + 83908 90.381 * * [simplify]: Extracting #7: cost 296 inf + 159146 90.433 * * [simplify]: Extracting #8: cost 64 inf + 260167 90.527 * * [simplify]: Extracting #9: cost 0 inf + 290287 90.621 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))) 90.621 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 90.621 * * * * [progress]: [ 85 / 188 ] simplifiying candidate # 90.622 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 90.622 * * [simplify]: iters left: 6 (28 enodes) 90.637 * * [simplify]: iters left: 5 (127 enodes) 90.691 * * [simplify]: iters left: 4 (381 enodes) 90.883 * * [simplify]: Extracting #0: cost 1 inf + 0 90.883 * * [simplify]: Extracting #1: cost 3 inf + 0 90.883 * * [simplify]: Extracting #2: cost 20 inf + 0 90.884 * * [simplify]: Extracting #3: cost 220 inf + 0 90.887 * * [simplify]: Extracting #4: cost 510 inf + 1065 90.895 * * [simplify]: Extracting #5: cost 465 inf + 26091 90.914 * * [simplify]: Extracting #6: cost 172 inf + 101785 90.964 * * [simplify]: Extracting #7: cost 9 inf + 161213 91.036 * * [simplify]: Extracting #8: cost 0 inf + 165376 91.093 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))))) 91.093 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 91.094 * * * * [progress]: [ 86 / 188 ] simplifiying candidate # 91.094 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 91.094 * * [simplify]: iters left: 6 (34 enodes) 91.103 * * [simplify]: iters left: 5 (158 enodes) 91.165 * * [simplify]: iters left: 4 (437 enodes) 91.375 * * [simplify]: Extracting #0: cost 1 inf + 0 91.375 * * [simplify]: Extracting #1: cost 3 inf + 0 91.375 * * [simplify]: Extracting #2: cost 20 inf + 0 91.375 * * [simplify]: Extracting #3: cost 208 inf + 0 91.377 * * [simplify]: Extracting #4: cost 582 inf + 496 91.382 * * [simplify]: Extracting #5: cost 600 inf + 16559 91.420 * * [simplify]: Extracting #6: cost 276 inf + 110435 91.478 * * [simplify]: Extracting #7: cost 31 inf + 210483 91.551 * * [simplify]: Extracting #8: cost 0 inf + 225261 91.605 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) 91.605 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 91.606 * * * * [progress]: [ 87 / 188 ] simplifiying candidate # 91.606 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 91.607 * * [simplify]: iters left: 6 (28 enodes) 91.621 * * [simplify]: iters left: 5 (125 enodes) 91.664 * * [simplify]: iters left: 4 (357 enodes) 91.853 * * [simplify]: Extracting #0: cost 1 inf + 0 91.853 * * [simplify]: Extracting #1: cost 3 inf + 0 91.853 * * [simplify]: Extracting #2: cost 15 inf + 0 91.853 * * [simplify]: Extracting #3: cost 159 inf + 0 91.854 * * [simplify]: Extracting #4: cost 467 inf + 291 91.862 * * [simplify]: Extracting #5: cost 497 inf + 9223 91.872 * * [simplify]: Extracting #6: cost 252 inf + 59929 91.913 * * [simplify]: Extracting #7: cost 20 inf + 139674 91.970 * * [simplify]: Extracting #8: cost 1 inf + 147435 92.013 * * [simplify]: Extracting #9: cost 0 inf + 148009 92.058 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 92.058 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 92.058 * * * * [progress]: [ 88 / 188 ] simplifiying candidate # 92.058 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 92.059 * * [simplify]: iters left: 6 (34 enodes) 92.077 * * [simplify]: iters left: 5 (158 enodes) 92.127 * * [simplify]: iters left: 4 (437 enodes) 92.343 * * [simplify]: Extracting #0: cost 1 inf + 0 92.343 * * [simplify]: Extracting #1: cost 3 inf + 0 92.343 * * [simplify]: Extracting #2: cost 20 inf + 0 92.344 * * [simplify]: Extracting #3: cost 190 inf + 0 92.347 * * [simplify]: Extracting #4: cost 543 inf + 292 92.355 * * [simplify]: Extracting #5: cost 613 inf + 12725 92.390 * * [simplify]: Extracting #6: cost 283 inf + 106356 92.441 * * [simplify]: Extracting #7: cost 49 inf + 201987 92.530 * * [simplify]: Extracting #8: cost 0 inf + 222597 92.602 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) 92.602 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 92.603 * * * * [progress]: [ 89 / 188 ] simplifiying candidate # 92.603 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 92.603 * * [simplify]: iters left: 6 (28 enodes) 92.616 * * [simplify]: iters left: 5 (125 enodes) 92.654 * * [simplify]: iters left: 4 (357 enodes) 92.828 * * [simplify]: Extracting #0: cost 1 inf + 0 92.828 * * [simplify]: Extracting #1: cost 3 inf + 0 92.828 * * [simplify]: Extracting #2: cost 15 inf + 0 92.829 * * [simplify]: Extracting #3: cost 156 inf + 0 92.831 * * [simplify]: Extracting #4: cost 470 inf + 331 92.836 * * [simplify]: Extracting #5: cost 489 inf + 10970 92.863 * * [simplify]: Extracting #6: cost 234 inf + 65382 92.891 * * [simplify]: Extracting #7: cost 12 inf + 143631 92.929 * * [simplify]: Extracting #8: cost 1 inf + 146982 92.970 * * [simplify]: Extracting #9: cost 0 inf + 147687 93.014 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi1 phi2))))) 93.014 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (+ phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 93.014 * * * * [progress]: [ 90 / 188 ] simplifiying candidate # 93.015 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 93.015 * * [simplify]: iters left: 6 (44 enodes) 93.028 * * [simplify]: iters left: 5 (197 enodes) 93.089 * * [simplify]: Extracting #0: cost 1 inf + 0 93.090 * * [simplify]: Extracting #1: cost 3 inf + 0 93.090 * * [simplify]: Extracting #2: cost 6 inf + 0 93.090 * * [simplify]: Extracting #3: cost 53 inf + 0 93.090 * * [simplify]: Extracting #4: cost 158 inf + 0 93.092 * * [simplify]: Extracting #5: cost 210 inf + 87 93.094 * * [simplify]: Extracting #6: cost 189 inf + 4187 93.098 * * [simplify]: Extracting #7: cost 140 inf + 13329 93.107 * * [simplify]: Extracting #8: cost 78 inf + 31169 93.114 * * [simplify]: Extracting #9: cost 52 inf + 41969 93.126 * * [simplify]: Extracting #10: cost 17 inf + 71089 93.147 * * [simplify]: Extracting #11: cost 0 inf + 87111 93.173 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt 2) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (cbrt (* (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (- lambda1 lambda2))))) 93.173 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt 2) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (cbrt (* (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (- lambda1 lambda2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 93.174 * * * * [progress]: [ 91 / 188 ] simplifiying candidate # 93.174 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 93.174 * * [simplify]: iters left: 6 (45 enodes) 93.187 * * [simplify]: iters left: 5 (206 enodes) 93.259 * * [simplify]: Extracting #0: cost 1 inf + 0 93.259 * * [simplify]: Extracting #1: cost 3 inf + 0 93.259 * * [simplify]: Extracting #2: cost 6 inf + 0 93.259 * * [simplify]: Extracting #3: cost 57 inf + 0 93.259 * * [simplify]: Extracting #4: cost 181 inf + 0 93.260 * * [simplify]: Extracting #5: cost 210 inf + 1400 93.262 * * [simplify]: Extracting #6: cost 149 inf + 12945 93.267 * * [simplify]: Extracting #7: cost 97 inf + 29191 93.275 * * [simplify]: Extracting #8: cost 70 inf + 38434 93.281 * * [simplify]: Extracting #9: cost 55 inf + 42471 93.293 * * [simplify]: Extracting #10: cost 14 inf + 77305 93.317 * * [simplify]: Extracting #11: cost 0 inf + 89109 93.338 * [simplify]: Simplified to (sqrt (+ (* (cbrt 2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) 93.338 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt 2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 93.339 * * * * [progress]: [ 92 / 188 ] simplifiying candidate # 93.339 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 93.339 * * [simplify]: iters left: 6 (45 enodes) 93.352 * * [simplify]: iters left: 5 (206 enodes) 93.438 * * [simplify]: Extracting #0: cost 1 inf + 0 93.438 * * [simplify]: Extracting #1: cost 3 inf + 0 93.438 * * [simplify]: Extracting #2: cost 6 inf + 0 93.438 * * [simplify]: Extracting #3: cost 59 inf + 0 93.439 * * [simplify]: Extracting #4: cost 179 inf + 0 93.440 * * [simplify]: Extracting #5: cost 212 inf + 624 93.442 * * [simplify]: Extracting #6: cost 139 inf + 14355 93.447 * * [simplify]: Extracting #7: cost 96 inf + 28859 93.453 * * [simplify]: Extracting #8: cost 71 inf + 36472 93.460 * * [simplify]: Extracting #9: cost 50 inf + 44813 93.474 * * [simplify]: Extracting #10: cost 3 inf + 83603 93.489 * * [simplify]: Extracting #11: cost 0 inf + 86741 93.516 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt 2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) 93.517 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt 2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) 1) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 93.517 * * * * [progress]: [ 93 / 188 ] simplifiying candidate # 93.518 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 93.518 * * [simplify]: iters left: 6 (39 enodes) 93.540 * * [simplify]: iters left: 5 (170 enodes) 93.608 * * [simplify]: iters left: 4 (438 enodes) 93.819 * * [simplify]: Extracting #0: cost 1 inf + 0 93.819 * * [simplify]: Extracting #1: cost 3 inf + 0 93.819 * * [simplify]: Extracting #2: cost 16 inf + 0 93.819 * * [simplify]: Extracting #3: cost 233 inf + 0 93.821 * * [simplify]: Extracting #4: cost 594 inf + 697 93.825 * * [simplify]: Extracting #5: cost 594 inf + 17323 93.838 * * [simplify]: Extracting #6: cost 414 inf + 67724 93.874 * * [simplify]: Extracting #7: cost 294 inf + 115186 93.902 * * [simplify]: Extracting #8: cost 272 inf + 121569 93.948 * * [simplify]: Extracting #9: cost 256 inf + 127732 94.009 * * [simplify]: Extracting #10: cost 135 inf + 208918 94.108 * * [simplify]: Extracting #11: cost 1 inf + 305958 94.215 * * [simplify]: Extracting #12: cost 0 inf + 306683 94.310 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt 2) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) 94.310 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt 2) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 94.310 * * * * [progress]: [ 94 / 188 ] simplifiying candidate # 94.311 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 94.311 * * [simplify]: iters left: 6 (44 enodes) 94.334 * * [simplify]: iters left: 5 (198 enodes) 94.417 * * [simplify]: Extracting #0: cost 1 inf + 0 94.417 * * [simplify]: Extracting #1: cost 3 inf + 0 94.418 * * [simplify]: Extracting #2: cost 10 inf + 0 94.418 * * [simplify]: Extracting #3: cost 75 inf + 0 94.419 * * [simplify]: Extracting #4: cost 167 inf + 42 94.420 * * [simplify]: Extracting #5: cost 186 inf + 1093 94.424 * * [simplify]: Extracting #6: cost 136 inf + 10961 94.431 * * [simplify]: Extracting #7: cost 88 inf + 26963 94.445 * * [simplify]: Extracting #8: cost 60 inf + 36485 94.468 * * [simplify]: Extracting #9: cost 13 inf + 71400 94.494 * * [simplify]: Extracting #10: cost 0 inf + 80718 94.509 * * [simplify]: Extracting #11: cost 0 inf + 80198 94.525 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (cbrt 2) (- phi1 phi2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) 94.525 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (cbrt 2) (- phi1 phi2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 94.526 * * * * [progress]: [ 95 / 188 ] simplifiying candidate # 94.527 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 94.527 * * [simplify]: iters left: 6 (39 enodes) 94.547 * * [simplify]: iters left: 5 (170 enodes) 94.620 * * [simplify]: iters left: 4 (431 enodes) 94.880 * * [simplify]: Extracting #0: cost 1 inf + 0 94.880 * * [simplify]: Extracting #1: cost 3 inf + 0 94.880 * * [simplify]: Extracting #2: cost 13 inf + 0 94.880 * * [simplify]: Extracting #3: cost 196 inf + 0 94.881 * * [simplify]: Extracting #4: cost 497 inf + 166 94.886 * * [simplify]: Extracting #5: cost 555 inf + 18622 94.913 * * [simplify]: Extracting #6: cost 291 inf + 94381 94.959 * * [simplify]: Extracting #7: cost 230 inf + 113930 95.005 * * [simplify]: Extracting #8: cost 209 inf + 121168 95.038 * * [simplify]: Extracting #9: cost 197 inf + 125979 95.074 * * [simplify]: Extracting #10: cost 134 inf + 164153 95.161 * * [simplify]: Extracting #11: cost 16 inf + 246758 95.241 * * [simplify]: Extracting #12: cost 0 inf + 260478 95.299 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (- phi1 phi2) (* (* (cbrt 2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) 95.299 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (- phi1 phi2) (* (* (cbrt 2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (+ phi1 phi2)))))) 95.299 * * * * [progress]: [ 96 / 188 ] simplifiying candidate # 95.300 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 95.300 * * [simplify]: iters left: 6 (44 enodes) 95.322 * * [simplify]: iters left: 5 (198 enodes) 95.408 * * [simplify]: Extracting #0: cost 1 inf + 0 95.408 * * [simplify]: Extracting #1: cost 3 inf + 0 95.409 * * [simplify]: Extracting #2: cost 10 inf + 0 95.409 * * [simplify]: Extracting #3: cost 75 inf + 0 95.410 * * [simplify]: Extracting #4: cost 167 inf + 42 95.410 * * [simplify]: Extracting #5: cost 184 inf + 1297 95.414 * * [simplify]: Extracting #6: cost 145 inf + 8143 95.418 * * [simplify]: Extracting #7: cost 99 inf + 25110 95.424 * * [simplify]: Extracting #8: cost 63 inf + 36438 95.435 * * [simplify]: Extracting #9: cost 13 inf + 72160 95.452 * * [simplify]: Extracting #10: cost 0 inf + 81518 95.467 * * [simplify]: Extracting #11: cost 0 inf + 80998 95.482 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (cbrt 2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) 95.482 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (cbrt 2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 95.483 * * * * [progress]: [ 97 / 188 ] simplifiying candidate # 95.483 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 95.483 * * [simplify]: iters left: 6 (39 enodes) 95.503 * * [simplify]: iters left: 5 (170 enodes) 95.555 * * [simplify]: iters left: 4 (431 enodes) 95.765 * * [simplify]: Extracting #0: cost 1 inf + 0 95.765 * * [simplify]: Extracting #1: cost 3 inf + 0 95.765 * * [simplify]: Extracting #2: cost 13 inf + 0 95.765 * * [simplify]: Extracting #3: cost 193 inf + 0 95.767 * * [simplify]: Extracting #4: cost 505 inf + 44 95.774 * * [simplify]: Extracting #5: cost 586 inf + 8703 95.786 * * [simplify]: Extracting #6: cost 373 inf + 63996 95.818 * * [simplify]: Extracting #7: cost 241 inf + 111381 95.847 * * [simplify]: Extracting #8: cost 169 inf + 150473 95.901 * * [simplify]: Extracting #9: cost 19 inf + 246458 95.972 * * [simplify]: Extracting #10: cost 0 inf + 262401 96.029 * * [simplify]: Extracting #11: cost 0 inf + 262390 96.098 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (cbrt 2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) 96.099 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (cbrt 2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (cbrt 2)) (+ phi1 phi2)))))) 96.099 * * * * [progress]: [ 98 / 188 ] simplifiying candidate # 96.099 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 96.100 * * [simplify]: iters left: 6 (40 enodes) 96.114 * * [simplify]: iters left: 5 (172 enodes) 96.155 * * [simplify]: iters left: 4 (470 enodes) 96.486 * * [simplify]: Extracting #0: cost 1 inf + 0 96.486 * * [simplify]: Extracting #1: cost 3 inf + 0 96.486 * * [simplify]: Extracting #2: cost 20 inf + 0 96.487 * * [simplify]: Extracting #3: cost 297 inf + 0 96.489 * * [simplify]: Extracting #4: cost 861 inf + 413 96.495 * * [simplify]: Extracting #5: cost 862 inf + 15590 96.515 * * [simplify]: Extracting #6: cost 617 inf + 81002 96.542 * * [simplify]: Extracting #7: cost 436 inf + 150245 96.579 * * [simplify]: Extracting #8: cost 424 inf + 153891 96.608 * * [simplify]: Extracting #9: cost 419 inf + 154527 96.663 * * [simplify]: Extracting #10: cost 370 inf + 184509 96.791 * * [simplify]: Extracting #11: cost 46 inf + 419568 96.923 * * [simplify]: Extracting #12: cost 0 inf + 454313 97.068 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt 2) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 97.068 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt 2) (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 97.068 * * * * [progress]: [ 99 / 188 ] simplifiying candidate # 97.069 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 97.069 * * [simplify]: iters left: 6 (41 enodes) 97.081 * * [simplify]: iters left: 5 (181 enodes) 97.146 * * [simplify]: Extracting #0: cost 1 inf + 0 97.146 * * [simplify]: Extracting #1: cost 3 inf + 0 97.146 * * [simplify]: Extracting #2: cost 6 inf + 0 97.146 * * [simplify]: Extracting #3: cost 57 inf + 0 97.146 * * [simplify]: Extracting #4: cost 173 inf + 0 97.147 * * [simplify]: Extracting #5: cost 205 inf + 622 97.148 * * [simplify]: Extracting #6: cost 146 inf + 9011 97.152 * * [simplify]: Extracting #7: cost 89 inf + 24377 97.157 * * [simplify]: Extracting #8: cost 67 inf + 30837 97.163 * * [simplify]: Extracting #9: cost 49 inf + 39523 97.183 * * [simplify]: Extracting #10: cost 4 inf + 72161 97.199 * * [simplify]: Extracting #11: cost 0 inf + 75865 97.213 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (* (cbrt 2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))))))))) 97.213 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (* (cbrt 2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 97.214 * * * * [progress]: [ 100 / 188 ] simplifiying candidate # 97.214 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 97.214 * * [simplify]: iters left: 6 (41 enodes) 97.239 * * [simplify]: iters left: 5 (181 enodes) 97.289 * * [simplify]: Extracting #0: cost 1 inf + 0 97.289 * * [simplify]: Extracting #1: cost 3 inf + 0 97.289 * * [simplify]: Extracting #2: cost 6 inf + 0 97.290 * * [simplify]: Extracting #3: cost 59 inf + 0 97.290 * * [simplify]: Extracting #4: cost 171 inf + 0 97.291 * * [simplify]: Extracting #5: cost 199 inf + 1092 97.293 * * [simplify]: Extracting #6: cost 126 inf + 13901 97.301 * * [simplify]: Extracting #7: cost 82 inf + 25129 97.310 * * [simplify]: Extracting #8: cost 63 inf + 30664 97.322 * * [simplify]: Extracting #9: cost 49 inf + 37088 97.342 * * [simplify]: Extracting #10: cost 6 inf + 68261 97.369 * * [simplify]: Extracting #11: cost 0 inf + 73337 97.383 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (cbrt 2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))))))))) 97.383 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1)) (cbrt 2)) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (+ 1 (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 97.383 * * * * [progress]: [ 101 / 188 ] simplifiying candidate # 97.384 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 97.384 * * [simplify]: iters left: 6 (34 enodes) 97.393 * * [simplify]: iters left: 5 (140 enodes) 97.447 * * [simplify]: iters left: 4 (372 enodes) 97.655 * * [simplify]: Extracting #0: cost 1 inf + 0 97.655 * * [simplify]: Extracting #1: cost 3 inf + 0 97.655 * * [simplify]: Extracting #2: cost 16 inf + 0 97.655 * * [simplify]: Extracting #3: cost 219 inf + 0 97.657 * * [simplify]: Extracting #4: cost 599 inf + 291 97.663 * * [simplify]: Extracting #5: cost 495 inf + 33084 97.688 * * [simplify]: Extracting #6: cost 293 inf + 83914 97.724 * * [simplify]: Extracting #7: cost 275 inf + 90078 97.745 * * [simplify]: Extracting #8: cost 269 inf + 91763 97.788 * * [simplify]: Extracting #9: cost 203 inf + 132830 97.871 * * [simplify]: Extracting #10: cost 25 inf + 245063 97.936 * * [simplify]: Extracting #11: cost 0 inf + 258623 98.034 * * [simplify]: Extracting #12: cost 0 inf + 258598 98.133 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ lambda2 lambda1) (cbrt 2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) 98.133 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ lambda2 lambda1) (cbrt 2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 98.133 * * * * [progress]: [ 102 / 188 ] simplifiying candidate # 98.134 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 98.134 * * [simplify]: iters left: 6 (40 enodes) 98.156 * * [simplify]: iters left: 5 (173 enodes) 98.224 * * [simplify]: iters left: 4 (446 enodes) 98.512 * * [simplify]: Extracting #0: cost 1 inf + 0 98.512 * * [simplify]: Extracting #1: cost 3 inf + 0 98.512 * * [simplify]: Extracting #2: cost 17 inf + 0 98.512 * * [simplify]: Extracting #3: cost 262 inf + 0 98.514 * * [simplify]: Extracting #4: cost 678 inf + 290 98.520 * * [simplify]: Extracting #5: cost 668 inf + 23191 98.550 * * [simplify]: Extracting #6: cost 415 inf + 98303 98.599 * * [simplify]: Extracting #7: cost 324 inf + 128233 98.645 * * [simplify]: Extracting #8: cost 322 inf + 128060 98.670 * * [simplify]: Extracting #9: cost 316 inf + 129339 98.714 * * [simplify]: Extracting #10: cost 283 inf + 148027 98.815 * * [simplify]: Extracting #11: cost 50 inf + 306410 98.943 * * [simplify]: Extracting #12: cost 0 inf + 339884 99.064 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt 2) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) 99.064 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt 2) (+ lambda2 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 99.065 * * * * [progress]: [ 103 / 188 ] simplifiying candidate # 99.065 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 99.065 * * [simplify]: iters left: 6 (34 enodes) 99.074 * * [simplify]: iters left: 5 (140 enodes) 99.111 * * [simplify]: iters left: 4 (365 enodes) 99.416 * * [simplify]: Extracting #0: cost 1 inf + 0 99.416 * * [simplify]: Extracting #1: cost 3 inf + 0 99.416 * * [simplify]: Extracting #2: cost 13 inf + 0 99.417 * * [simplify]: Extracting #3: cost 199 inf + 0 99.420 * * [simplify]: Extracting #4: cost 520 inf + 85 99.428 * * [simplify]: Extracting #5: cost 519 inf + 16684 99.451 * * [simplify]: Extracting #6: cost 242 inf + 82516 99.469 * * [simplify]: Extracting #7: cost 224 inf + 88216 99.508 * * [simplify]: Extracting #8: cost 217 inf + 90043 99.543 * * [simplify]: Extracting #9: cost 134 inf + 139746 99.622 * * [simplify]: Extracting #10: cost 6 inf + 219645 99.706 * * [simplify]: Extracting #11: cost 0 inf + 223753 99.766 * * [simplify]: Extracting #12: cost 0 inf + 223747 99.849 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2)) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda2 lambda1) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt 2))))) 99.849 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2)) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ lambda2 lambda1) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt 2))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (+ phi1 phi2)))))) 99.849 * * * * [progress]: [ 104 / 188 ] simplifiying candidate # 99.851 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 99.851 * * [simplify]: iters left: 6 (40 enodes) 99.872 * * [simplify]: iters left: 5 (173 enodes) 99.936 * * [simplify]: iters left: 4 (446 enodes) 100.238 * * [simplify]: Extracting #0: cost 1 inf + 0 100.238 * * [simplify]: Extracting #1: cost 3 inf + 0 100.238 * * [simplify]: Extracting #2: cost 17 inf + 0 100.239 * * [simplify]: Extracting #3: cost 246 inf + 0 100.240 * * [simplify]: Extracting #4: cost 642 inf + 209 100.247 * * [simplify]: Extracting #5: cost 650 inf + 28375 100.264 * * [simplify]: Extracting #6: cost 400 inf + 98109 100.291 * * [simplify]: Extracting #7: cost 342 inf + 119765 100.313 * * [simplify]: Extracting #8: cost 326 inf + 125712 100.353 * * [simplify]: Extracting #9: cost 316 inf + 128170 100.403 * * [simplify]: Extracting #10: cost 287 inf + 144317 100.473 * * [simplify]: Extracting #11: cost 43 inf + 309716 100.558 * * [simplify]: Extracting #12: cost 0 inf + 339155 100.676 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt 2) (+ lambda2 lambda1))))) 100.677 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt 2) (+ lambda2 lambda1))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 100.677 * * * * [progress]: [ 105 / 188 ] simplifiying candidate # 100.678 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (cbrt 2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 100.678 * * [simplify]: iters left: 6 (34 enodes) 100.696 * * [simplify]: iters left: 5 (140 enodes) 100.737 * * [simplify]: iters left: 4 (365 enodes) 100.986 * * [simplify]: Extracting #0: cost 1 inf + 0 100.986 * * [simplify]: Extracting #1: cost 3 inf + 0 100.986 * * [simplify]: Extracting #2: cost 13 inf + 0 100.986 * * [simplify]: Extracting #3: cost 199 inf + 0 100.987 * * [simplify]: Extracting #4: cost 542 inf + 44 100.991 * * [simplify]: Extracting #5: cost 524 inf + 16319 101.005 * * [simplify]: Extracting #6: cost 269 inf + 75614 101.028 * * [simplify]: Extracting #7: cost 226 inf + 88666 101.067 * * [simplify]: Extracting #8: cost 223 inf + 89538 101.096 * * [simplify]: Extracting #9: cost 217 inf + 90938 101.124 * * [simplify]: Extracting #10: cost 142 inf + 136046 101.179 * * [simplify]: Extracting #11: cost 11 inf + 217792 101.238 * * [simplify]: Extracting #12: cost 0 inf + 225487 101.302 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ lambda2 lambda1) (* (cbrt 2) (+ phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) 101.302 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ lambda2 lambda1) (* (cbrt 2) (+ phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (cbrt 2)) (+ phi1 phi2)))))) 101.302 * * * * [progress]: [ 106 / 188 ] simplifiying candidate # 101.302 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (cbrt 2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 101.303 * * [simplify]: iters left: 6 (35 enodes) 101.313 * * [simplify]: iters left: 5 (150 enodes) 101.355 * * [simplify]: iters left: 4 (406 enodes) 101.666 * * [simplify]: Extracting #0: cost 1 inf + 0 101.666 * * [simplify]: Extracting #1: cost 3 inf + 0 101.666 * * [simplify]: Extracting #2: cost 20 inf + 0 101.667 * * [simplify]: Extracting #3: cost 274 inf + 0 101.670 * * [simplify]: Extracting #4: cost 688 inf + 250 101.688 * * [simplify]: Extracting #5: cost 645 inf + 18794 101.706 * * [simplify]: Extracting #6: cost 395 inf + 92382 101.727 * * [simplify]: Extracting #7: cost 363 inf + 106097 101.764 * * [simplify]: Extracting #8: cost 355 inf + 108298 101.805 * * [simplify]: Extracting #9: cost 348 inf + 109941 101.853 * * [simplify]: Extracting #10: cost 218 inf + 193583 101.941 * * [simplify]: Extracting #11: cost 9 inf + 339072 102.048 * * [simplify]: Extracting #12: cost 0 inf + 345317 102.172 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt 2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) 102.172 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt 2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (sqrt (* (cbrt 2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 102.173 * * * * [progress]: [ 107 / 188 ] simplifiying candidate # 102.173 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (cbrt 2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 102.174 * * [simplify]: iters left: 6 (36 enodes) 102.186 * * [simplify]: iters left: 5 (159 enodes) 102.232 * * [simplify]: iters left: 4 (439 enodes) 102.492 * * [simplify]: Extracting #0: cost 1 inf + 0 102.493 * * [simplify]: Extracting #1: cost 3 inf + 0 102.493 * * [simplify]: Extracting #2: cost 16 inf + 0 102.494 * * [simplify]: Extracting #3: cost 230 inf + 0 102.497 * * [simplify]: Extracting #4: cost 622 inf + 127 102.510 * * [simplify]: Extracting #5: cost 633 inf + 25505 102.539 * * [simplify]: Extracting #6: cost 421 inf + 85318 102.577 * * [simplify]: Extracting #7: cost 362 inf + 105760 102.598 * * [simplify]: Extracting #8: cost 349 inf + 109112 102.637 * * [simplify]: Extracting #9: cost 343 inf + 110572 102.725 * * [simplify]: Extracting #10: cost 202 inf + 199888 102.862 * * [simplify]: Extracting #11: cost 5 inf + 327295 102.964 * * [simplify]: Extracting #12: cost 0 inf + 331799 103.069 * [simplify]: Simplified to (sqrt (+ (* (cbrt 2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (- lambda1 lambda2) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)))))) 103.069 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt 2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (- lambda1 lambda2) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)))))) (sqrt (* (cbrt 2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 103.070 * * * * [progress]: [ 108 / 188 ] simplifiying candidate # 103.070 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (cbrt 2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 103.071 * * [simplify]: iters left: 6 (36 enodes) 103.091 * * [simplify]: iters left: 5 (159 enodes) 103.130 * * [simplify]: iters left: 4 (437 enodes) 103.401 * * [simplify]: Extracting #0: cost 1 inf + 0 103.401 * * [simplify]: Extracting #1: cost 3 inf + 0 103.401 * * [simplify]: Extracting #2: cost 20 inf + 0 103.402 * * [simplify]: Extracting #3: cost 277 inf + 0 103.404 * * [simplify]: Extracting #4: cost 641 inf + 414 103.414 * * [simplify]: Extracting #5: cost 590 inf + 24497 103.440 * * [simplify]: Extracting #6: cost 351 inf + 92135 103.459 * * [simplify]: Extracting #7: cost 320 inf + 103216 103.485 * * [simplify]: Extracting #8: cost 315 inf + 104332 103.506 * * [simplify]: Extracting #9: cost 309 inf + 105832 103.552 * * [simplify]: Extracting #10: cost 158 inf + 200927 103.661 * * [simplify]: Extracting #11: cost 2 inf + 302351 103.776 * * [simplify]: Extracting #12: cost 0 inf + 304241 103.899 * [simplify]: Simplified to (sqrt (+ (* (cbrt 2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (- lambda1 lambda2) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) 103.900 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt 2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (- lambda1 lambda2) (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)))))) (sqrt (* (cbrt 2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 103.900 * * * * [progress]: [ 109 / 188 ] simplifiying candidate # 103.900 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt 2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 103.901 * * [simplify]: iters left: 6 (29 enodes) 103.917 * * [simplify]: iters left: 5 (118 enodes) 103.965 * * [simplify]: iters left: 4 (308 enodes) 104.133 * * [simplify]: Extracting #0: cost 1 inf + 0 104.133 * * [simplify]: Extracting #1: cost 3 inf + 0 104.133 * * [simplify]: Extracting #2: cost 16 inf + 0 104.134 * * [simplify]: Extracting #3: cost 180 inf + 0 104.135 * * [simplify]: Extracting #4: cost 434 inf + 85 104.142 * * [simplify]: Extracting #5: cost 377 inf + 14900 104.159 * * [simplify]: Extracting #6: cost 227 inf + 46459 104.178 * * [simplify]: Extracting #7: cost 219 inf + 49221 104.214 * * [simplify]: Extracting #8: cost 131 inf + 97560 104.275 * * [simplify]: Extracting #9: cost 12 inf + 166876 104.330 * * [simplify]: Extracting #10: cost 0 inf + 173180 104.385 * * [simplify]: Extracting #11: cost 0 inf + 173169 104.464 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt 2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (- lambda1 lambda2) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 104.464 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt 2) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (- lambda1 lambda2) (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (cbrt 2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 104.464 * * * * [progress]: [ 110 / 188 ] simplifiying candidate # 104.465 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt 2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 104.465 * * [simplify]: iters left: 6 (35 enodes) 104.485 * * [simplify]: iters left: 5 (151 enodes) 104.548 * * [simplify]: iters left: 4 (380 enodes) 104.774 * * [simplify]: Extracting #0: cost 1 inf + 0 104.774 * * [simplify]: Extracting #1: cost 3 inf + 0 104.774 * * [simplify]: Extracting #2: cost 19 inf + 0 104.775 * * [simplify]: Extracting #3: cost 211 inf + 0 104.783 * * [simplify]: Extracting #4: cost 473 inf + 493 104.787 * * [simplify]: Extracting #5: cost 459 inf + 15994 104.797 * * [simplify]: Extracting #6: cost 309 inf + 53119 104.810 * * [simplify]: Extracting #7: cost 262 inf + 71098 104.844 * * [simplify]: Extracting #8: cost 178 inf + 116904 104.907 * * [simplify]: Extracting #9: cost 17 inf + 220464 104.988 * * [simplify]: Extracting #10: cost 0 inf + 231684 105.063 * * [simplify]: Extracting #11: cost 0 inf + 231347 105.137 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt 2) (- phi1 phi2))) (* (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 105.137 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt 2) (- phi1 phi2))) (* (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (cbrt 2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 105.138 * * * * [progress]: [ 111 / 188 ] simplifiying candidate # 105.138 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt 2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 105.138 * * [simplify]: iters left: 6 (29 enodes) 105.150 * * [simplify]: iters left: 5 (118 enodes) 105.179 * * [simplify]: iters left: 4 (299 enodes) 105.362 * * [simplify]: Extracting #0: cost 1 inf + 0 105.362 * * [simplify]: Extracting #1: cost 3 inf + 0 105.362 * * [simplify]: Extracting #2: cost 13 inf + 0 105.362 * * [simplify]: Extracting #3: cost 151 inf + 0 105.364 * * [simplify]: Extracting #4: cost 322 inf + 208 105.369 * * [simplify]: Extracting #5: cost 327 inf + 7317 105.385 * * [simplify]: Extracting #6: cost 205 inf + 30889 105.402 * * [simplify]: Extracting #7: cost 166 inf + 40922 105.427 * * [simplify]: Extracting #8: cost 124 inf + 63027 105.462 * * [simplify]: Extracting #9: cost 9 inf + 127655 105.500 * * [simplify]: Extracting #10: cost 0 inf + 133518 105.545 * * [simplify]: Extracting #11: cost 0 inf + 133509 105.581 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt 2)))) 105.582 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt 2)))) (sqrt (* (cbrt 2) (+ phi1 phi2)))))) 105.582 * * * * [progress]: [ 112 / 188 ] simplifiying candidate # 105.582 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (cbrt 2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 105.582 * * [simplify]: iters left: 6 (35 enodes) 105.600 * * [simplify]: iters left: 5 (151 enodes) 105.639 * * [simplify]: iters left: 4 (380 enodes) 105.853 * * [simplify]: Extracting #0: cost 1 inf + 0 105.853 * * [simplify]: Extracting #1: cost 3 inf + 0 105.853 * * [simplify]: Extracting #2: cost 19 inf + 0 105.854 * * [simplify]: Extracting #3: cost 195 inf + 0 105.857 * * [simplify]: Extracting #4: cost 437 inf + 291 105.864 * * [simplify]: Extracting #5: cost 459 inf + 15168 105.883 * * [simplify]: Extracting #6: cost 311 inf + 52065 105.909 * * [simplify]: Extracting #7: cost 268 inf + 67270 105.937 * * [simplify]: Extracting #8: cost 253 inf + 72721 105.958 * * [simplify]: Extracting #9: cost 185 inf + 111009 106.037 * * [simplify]: Extracting #10: cost 13 inf + 221041 106.099 * * [simplify]: Extracting #11: cost 0 inf + 229865 106.191 * * [simplify]: Extracting #12: cost 0 inf + 229533 106.293 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt 2) (- phi1 phi2))) (* (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- lambda1 lambda2))))) 106.293 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt 2) (- phi1 phi2))) (* (cbrt (+ (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- lambda1 lambda2))))) (sqrt (* (cbrt 2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 106.294 * * * * [progress]: [ 113 / 188 ] simplifiying candidate # 106.294 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (+ (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (- (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt 2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 106.295 * * [simplify]: iters left: 6 (29 enodes) 106.310 * * [simplify]: iters left: 5 (118 enodes) 106.360 * * [simplify]: iters left: 4 (299 enodes) 106.542 * * [simplify]: Extracting #0: cost 1 inf + 0 106.542 * * [simplify]: Extracting #1: cost 3 inf + 0 106.542 * * [simplify]: Extracting #2: cost 13 inf + 0 106.542 * * [simplify]: Extracting #3: cost 148 inf + 0 106.543 * * [simplify]: Extracting #4: cost 325 inf + 168 106.545 * * [simplify]: Extracting #5: cost 336 inf + 5082 106.550 * * [simplify]: Extracting #6: cost 219 inf + 27260 106.559 * * [simplify]: Extracting #7: cost 163 inf + 41835 106.573 * * [simplify]: Extracting #8: cost 125 inf + 61129 106.607 * * [simplify]: Extracting #9: cost 11 inf + 126364 106.665 * * [simplify]: Extracting #10: cost 0 inf + 133158 106.728 * * [simplify]: Extracting #11: cost 0 inf + 133147 106.779 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt 2)))) 106.779 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cbrt (+ (cos (/ (+ phi1 phi2) 2)) (* (cos (+ (/ (+ phi1 phi2) 2) (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt 2)))) (sqrt (* (cbrt 2) (+ phi1 phi2)))))) 106.779 * * * * [progress]: [ 114 / 188 ] simplifiying candidate # 106.779 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 106.780 * * [simplify]: iters left: 6 (38 enodes) 106.791 * * [simplify]: iters left: 5 (175 enodes) 106.859 * * [simplify]: iters left: 4 (483 enodes) 107.188 * * [simplify]: Extracting #0: cost 1 inf + 0 107.188 * * [simplify]: Extracting #1: cost 3 inf + 0 107.189 * * [simplify]: Extracting #2: cost 30 inf + 0 107.189 * * [simplify]: Extracting #3: cost 326 inf + 0 107.192 * * [simplify]: Extracting #4: cost 821 inf + 620 107.197 * * [simplify]: Extracting #5: cost 848 inf + 17106 107.226 * * [simplify]: Extracting #6: cost 613 inf + 93783 107.288 * * [simplify]: Extracting #7: cost 366 inf + 190353 107.359 * * [simplify]: Extracting #8: cost 27 inf + 370164 107.456 * * [simplify]: Extracting #9: cost 0 inf + 388777 107.582 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 107.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 107.583 * * * * [progress]: [ 115 / 188 ] simplifiying candidate # 107.583 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 107.584 * * [simplify]: iters left: 6 (39 enodes) 107.595 * * [simplify]: iters left: 5 (184 enodes) 107.666 * * [simplify]: Extracting #0: cost 1 inf + 0 107.666 * * [simplify]: Extracting #1: cost 3 inf + 0 107.666 * * [simplify]: Extracting #2: cost 6 inf + 0 107.667 * * [simplify]: Extracting #3: cost 60 inf + 0 107.667 * * [simplify]: Extracting #4: cost 169 inf + 0 107.668 * * [simplify]: Extracting #5: cost 204 inf + 416 107.671 * * [simplify]: Extracting #6: cost 162 inf + 6223 107.679 * * [simplify]: Extracting #7: cost 87 inf + 28540 107.700 * * [simplify]: Extracting #8: cost 16 inf + 65369 107.725 * * [simplify]: Extracting #9: cost 1 inf + 76089 107.758 * * [simplify]: Extracting #10: cost 0 inf + 77474 107.780 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))))) 107.780 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 107.780 * * * * [progress]: [ 116 / 188 ] simplifiying candidate # 107.780 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 107.781 * * [simplify]: iters left: 6 (39 enodes) 107.792 * * [simplify]: iters left: 5 (184 enodes) 107.867 * * [simplify]: Extracting #0: cost 1 inf + 0 107.867 * * [simplify]: Extracting #1: cost 3 inf + 0 107.867 * * [simplify]: Extracting #2: cost 6 inf + 0 107.867 * * [simplify]: Extracting #3: cost 62 inf + 0 107.868 * * [simplify]: Extracting #4: cost 167 inf + 0 107.869 * * [simplify]: Extracting #5: cost 200 inf + 375 107.873 * * [simplify]: Extracting #6: cost 146 inf + 11590 107.890 * * [simplify]: Extracting #7: cost 63 inf + 45747 107.912 * * [simplify]: Extracting #8: cost 11 inf + 66579 107.938 * * [simplify]: Extracting #9: cost 2 inf + 72336 107.954 * * [simplify]: Extracting #10: cost 1 inf + 73721 107.968 * * [simplify]: Extracting #11: cost 0 inf + 75106 107.987 * [simplify]: Simplified to (sqrt (+ (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 107.988 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 107.988 * * * * [progress]: [ 117 / 188 ] simplifiying candidate # 107.989 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 107.989 * * [simplify]: iters left: 6 (33 enodes) 108.006 * * [simplify]: iters left: 5 (148 enodes) 108.041 * * [simplify]: iters left: 4 (393 enodes) 108.259 * * [simplify]: Extracting #0: cost 1 inf + 0 108.259 * * [simplify]: Extracting #1: cost 3 inf + 0 108.260 * * [simplify]: Extracting #2: cost 26 inf + 0 108.260 * * [simplify]: Extracting #3: cost 261 inf + 0 108.262 * * [simplify]: Extracting #4: cost 573 inf + 1112 108.270 * * [simplify]: Extracting #5: cost 559 inf + 18561 108.284 * * [simplify]: Extracting #6: cost 338 inf + 79033 108.322 * * [simplify]: Extracting #7: cost 82 inf + 181490 108.366 * * [simplify]: Extracting #8: cost 29 inf + 204261 108.453 * * [simplify]: Extracting #9: cost 4 inf + 216496 108.528 * * [simplify]: Extracting #10: cost 0 inf + 218876 108.599 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) 108.599 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 108.599 * * * * [progress]: [ 118 / 188 ] simplifiying candidate # 108.599 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 108.600 * * [simplify]: iters left: 6 (38 enodes) 108.610 * * [simplify]: iters left: 5 (176 enodes) 108.660 * * [simplify]: iters left: 4 (457 enodes) 108.989 * * [simplify]: Extracting #0: cost 1 inf + 0 108.989 * * [simplify]: Extracting #1: cost 3 inf + 0 108.989 * * [simplify]: Extracting #2: cost 23 inf + 0 108.990 * * [simplify]: Extracting #3: cost 297 inf + 0 108.994 * * [simplify]: Extracting #4: cost 651 inf + 416 109.007 * * [simplify]: Extracting #5: cost 739 inf + 11772 109.016 * * [simplify]: Extracting #6: cost 594 inf + 48884 109.039 * * [simplify]: Extracting #7: cost 319 inf + 144210 109.111 * * [simplify]: Extracting #8: cost 23 inf + 286586 109.222 * * [simplify]: Extracting #9: cost 1 inf + 303885 109.312 * * [simplify]: Extracting #10: cost 0 inf + 304950 109.387 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)))) 109.387 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 109.387 * * * * [progress]: [ 119 / 188 ] simplifiying candidate # 109.388 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 109.388 * * [simplify]: iters left: 6 (33 enodes) 109.397 * * [simplify]: iters left: 5 (148 enodes) 109.451 * * [simplify]: iters left: 4 (384 enodes) 109.676 * * [simplify]: Extracting #0: cost 1 inf + 0 109.676 * * [simplify]: Extracting #1: cost 3 inf + 0 109.676 * * [simplify]: Extracting #2: cost 19 inf + 0 109.677 * * [simplify]: Extracting #3: cost 251 inf + 0 109.683 * * [simplify]: Extracting #4: cost 515 inf + 706 109.687 * * [simplify]: Extracting #5: cost 571 inf + 17262 109.701 * * [simplify]: Extracting #6: cost 335 inf + 73143 109.759 * * [simplify]: Extracting #7: cost 81 inf + 174118 109.838 * * [simplify]: Extracting #8: cost 23 inf + 200631 109.893 * * [simplify]: Extracting #9: cost 6 inf + 208156 109.953 * * [simplify]: Extracting #10: cost 0 inf + 212089 110.027 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) 110.027 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 110.028 * * * * [progress]: [ 120 / 188 ] simplifiying candidate # 110.028 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 110.029 * * [simplify]: iters left: 6 (38 enodes) 110.050 * * [simplify]: iters left: 5 (176 enodes) 110.128 * * [simplify]: iters left: 4 (457 enodes) 110.452 * * [simplify]: Extracting #0: cost 1 inf + 0 110.453 * * [simplify]: Extracting #1: cost 3 inf + 0 110.453 * * [simplify]: Extracting #2: cost 23 inf + 0 110.454 * * [simplify]: Extracting #3: cost 281 inf + 0 110.457 * * [simplify]: Extracting #4: cost 610 inf + 661 110.465 * * [simplify]: Extracting #5: cost 736 inf + 9776 110.482 * * [simplify]: Extracting #6: cost 607 inf + 42708 110.513 * * [simplify]: Extracting #7: cost 311 inf + 153446 110.587 * * [simplify]: Extracting #8: cost 14 inf + 296348 110.671 * * [simplify]: Extracting #9: cost 0 inf + 303902 110.760 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) 110.760 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 110.760 * * * * [progress]: [ 121 / 188 ] simplifiying candidate # 110.761 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 110.761 * * [simplify]: iters left: 6 (33 enodes) 110.779 * * [simplify]: iters left: 5 (148 enodes) 110.824 * * [simplify]: iters left: 4 (384 enodes) 111.025 * * [simplify]: Extracting #0: cost 1 inf + 0 111.025 * * [simplify]: Extracting #1: cost 3 inf + 0 111.025 * * [simplify]: Extracting #2: cost 19 inf + 0 111.025 * * [simplify]: Extracting #3: cost 249 inf + 0 111.027 * * [simplify]: Extracting #4: cost 520 inf + 622 111.032 * * [simplify]: Extracting #5: cost 574 inf + 18897 111.054 * * [simplify]: Extracting #6: cost 334 inf + 75838 111.099 * * [simplify]: Extracting #7: cost 79 inf + 177408 111.155 * * [simplify]: Extracting #8: cost 8 inf + 209778 111.213 * * [simplify]: Extracting #9: cost 0 inf + 213872 111.262 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2)))))) 111.262 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 111.263 * * * * [progress]: [ 122 / 188 ] simplifiying candidate # 111.263 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 111.263 * * [simplify]: iters left: 6 (34 enodes) 111.276 * * [simplify]: iters left: 5 (150 enodes) 111.318 * * [simplify]: iters left: 4 (425 enodes) 111.622 * * [simplify]: Extracting #0: cost 1 inf + 0 111.622 * * [simplify]: Extracting #1: cost 3 inf + 0 111.622 * * [simplify]: Extracting #2: cost 26 inf + 0 111.623 * * [simplify]: Extracting #3: cost 283 inf + 0 111.625 * * [simplify]: Extracting #4: cost 791 inf + 661 111.638 * * [simplify]: Extracting #5: cost 752 inf + 22811 111.668 * * [simplify]: Extracting #6: cost 552 inf + 72995 111.723 * * [simplify]: Extracting #7: cost 167 inf + 232838 111.811 * * [simplify]: Extracting #8: cost 0 inf + 313065 111.926 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 111.927 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 111.927 * * * * [progress]: [ 123 / 188 ] simplifiying candidate # 111.928 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 111.928 * * [simplify]: iters left: 6 (35 enodes) 111.942 * * [simplify]: iters left: 5 (159 enodes) 112.001 * * [simplify]: iters left: 4 (458 enodes) 112.727 * * [simplify]: Extracting #0: cost 1 inf + 0 112.727 * * [simplify]: Extracting #1: cost 3 inf + 0 112.727 * * [simplify]: Extracting #2: cost 22 inf + 0 112.728 * * [simplify]: Extracting #3: cost 282 inf + 0 112.730 * * [simplify]: Extracting #4: cost 751 inf + 627 112.735 * * [simplify]: Extracting #5: cost 861 inf + 10209 112.759 * * [simplify]: Extracting #6: cost 582 inf + 80121 112.839 * * [simplify]: Extracting #7: cost 228 inf + 210710 112.913 * * [simplify]: Extracting #8: cost 12 inf + 307540 113.009 * * [simplify]: Extracting #9: cost 0 inf + 313240 113.109 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1))))))) 113.109 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 113.109 * * * * [progress]: [ 124 / 188 ] simplifiying candidate # 113.109 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 113.109 * * [simplify]: iters left: 6 (35 enodes) 113.119 * * [simplify]: iters left: 5 (159 enodes) 113.172 * * [simplify]: iters left: 4 (456 enodes) 113.570 * * [simplify]: Extracting #0: cost 1 inf + 0 113.570 * * [simplify]: Extracting #1: cost 3 inf + 0 113.571 * * [simplify]: Extracting #2: cost 26 inf + 0 113.572 * * [simplify]: Extracting #3: cost 318 inf + 0 113.577 * * [simplify]: Extracting #4: cost 762 inf + 1275 113.589 * * [simplify]: Extracting #5: cost 757 inf + 18888 113.623 * * [simplify]: Extracting #6: cost 535 inf + 70556 113.664 * * [simplify]: Extracting #7: cost 181 inf + 204364 113.744 * * [simplify]: Extracting #8: cost 1 inf + 284148 113.824 * * [simplify]: Extracting #9: cost 0 inf + 284042 113.902 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2)))))) 113.902 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 113.903 * * * * [progress]: [ 125 / 188 ] simplifiying candidate # 113.903 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 113.903 * * [simplify]: iters left: 6 (28 enodes) 113.917 * * [simplify]: iters left: 5 (118 enodes) 113.963 * * [simplify]: iters left: 4 (328 enodes) 114.151 * * [simplify]: Extracting #0: cost 1 inf + 0 114.152 * * [simplify]: Extracting #1: cost 3 inf + 0 114.152 * * [simplify]: Extracting #2: cost 22 inf + 0 114.153 * * [simplify]: Extracting #3: cost 209 inf + 0 114.155 * * [simplify]: Extracting #4: cost 543 inf + 1111 114.166 * * [simplify]: Extracting #5: cost 470 inf + 23965 114.193 * * [simplify]: Extracting #6: cost 265 inf + 76606 114.229 * * [simplify]: Extracting #7: cost 38 inf + 153438 114.300 * * [simplify]: Extracting #8: cost 0 inf + 166795 114.341 * * [simplify]: Extracting #9: cost 0 inf + 166675 114.399 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))))) 114.399 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 114.399 * * * * [progress]: [ 126 / 188 ] simplifiying candidate # 114.400 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 114.400 * * [simplify]: iters left: 6 (34 enodes) 114.410 * * [simplify]: iters left: 5 (151 enodes) 114.453 * * [simplify]: iters left: 4 (399 enodes) 114.699 * * [simplify]: Extracting #0: cost 1 inf + 0 114.699 * * [simplify]: Extracting #1: cost 3 inf + 0 114.700 * * [simplify]: Extracting #2: cost 21 inf + 0 114.700 * * [simplify]: Extracting #3: cost 263 inf + 0 114.703 * * [simplify]: Extracting #4: cost 623 inf + 662 114.712 * * [simplify]: Extracting #5: cost 619 inf + 19876 114.731 * * [simplify]: Extracting #6: cost 449 inf + 62374 114.785 * * [simplify]: Extracting #7: cost 117 inf + 185692 114.867 * * [simplify]: Extracting #8: cost 1 inf + 234315 114.955 * * [simplify]: Extracting #9: cost 0 inf + 235220 115.011 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda2 lambda1) (- phi1 phi2))))) 115.011 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda2 lambda1) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 115.012 * * * * [progress]: [ 127 / 188 ] simplifiying candidate # 115.012 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 115.013 * * [simplify]: iters left: 6 (28 enodes) 115.027 * * [simplify]: iters left: 5 (118 enodes) 115.052 * * [simplify]: iters left: 4 (319 enodes) 115.248 * * [simplify]: Extracting #0: cost 1 inf + 0 115.248 * * [simplify]: Extracting #1: cost 3 inf + 0 115.248 * * [simplify]: Extracting #2: cost 17 inf + 0 115.248 * * [simplify]: Extracting #3: cost 216 inf + 0 115.250 * * [simplify]: Extracting #4: cost 480 inf + 1074 115.254 * * [simplify]: Extracting #5: cost 482 inf + 14622 115.264 * * [simplify]: Extracting #6: cost 281 inf + 54298 115.300 * * [simplify]: Extracting #7: cost 47 inf + 132456 115.339 * * [simplify]: Extracting #8: cost 3 inf + 152521 115.384 * * [simplify]: Extracting #9: cost 0 inf + 154436 115.436 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (- lambda1 lambda2)) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) 115.436 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (- lambda1 lambda2)) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 115.437 * * * * [progress]: [ 128 / 188 ] simplifiying candidate # 115.437 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 115.437 * * [simplify]: iters left: 6 (34 enodes) 115.457 * * [simplify]: iters left: 5 (151 enodes) 115.502 * * [simplify]: iters left: 4 (399 enodes) 115.785 * * [simplify]: Extracting #0: cost 1 inf + 0 115.785 * * [simplify]: Extracting #1: cost 3 inf + 0 115.785 * * [simplify]: Extracting #2: cost 21 inf + 0 115.786 * * [simplify]: Extracting #3: cost 247 inf + 0 115.789 * * [simplify]: Extracting #4: cost 586 inf + 539 115.797 * * [simplify]: Extracting #5: cost 642 inf + 13457 115.816 * * [simplify]: Extracting #6: cost 477 inf + 50639 115.877 * * [simplify]: Extracting #7: cost 147 inf + 172249 115.944 * * [simplify]: Extracting #8: cost 6 inf + 229681 116.001 * * [simplify]: Extracting #9: cost 0 inf + 233578 116.067 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda2 lambda1))))) 116.068 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda2 lambda1))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 116.068 * * * * [progress]: [ 129 / 188 ] simplifiying candidate # 116.068 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 116.069 * * [simplify]: iters left: 6 (28 enodes) 116.081 * * [simplify]: iters left: 5 (118 enodes) 116.106 * * [simplify]: iters left: 4 (319 enodes) 116.281 * * [simplify]: Extracting #0: cost 1 inf + 0 116.282 * * [simplify]: Extracting #1: cost 3 inf + 0 116.282 * * [simplify]: Extracting #2: cost 17 inf + 0 116.283 * * [simplify]: Extracting #3: cost 213 inf + 0 116.286 * * [simplify]: Extracting #4: cost 482 inf + 1238 116.302 * * [simplify]: Extracting #5: cost 466 inf + 17801 116.319 * * [simplify]: Extracting #6: cost 284 inf + 54106 116.342 * * [simplify]: Extracting #7: cost 59 inf + 128147 116.401 * * [simplify]: Extracting #8: cost 2 inf + 153268 116.462 * * [simplify]: Extracting #9: cost 0 inf + 154558 116.523 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (- lambda1 lambda2)) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda2 lambda1)))) 116.523 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (- lambda1 lambda2)) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda2 lambda1)))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 116.523 * * * * [progress]: [ 130 / 188 ] simplifiying candidate # 116.524 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 116.524 * * [simplify]: iters left: 6 (38 enodes) 116.546 * * [simplify]: iters left: 5 (175 enodes) 116.603 * * [simplify]: iters left: 4 (483 enodes) 116.986 * * [simplify]: Extracting #0: cost 1 inf + 0 116.986 * * [simplify]: Extracting #1: cost 3 inf + 0 116.987 * * [simplify]: Extracting #2: cost 30 inf + 0 116.988 * * [simplify]: Extracting #3: cost 323 inf + 0 116.993 * * [simplify]: Extracting #4: cost 813 inf + 537 117.009 * * [simplify]: Extracting #5: cost 836 inf + 14993 117.032 * * [simplify]: Extracting #6: cost 595 inf + 81257 117.069 * * [simplify]: Extracting #7: cost 352 inf + 173515 117.156 * * [simplify]: Extracting #8: cost 39 inf + 340983 117.266 * * [simplify]: Extracting #9: cost 0 inf + 363824 117.387 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 117.387 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 117.387 * * * * [progress]: [ 131 / 188 ] simplifiying candidate # 117.388 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 117.388 * * [simplify]: iters left: 6 (39 enodes) 117.401 * * [simplify]: iters left: 5 (184 enodes) 117.444 * * [simplify]: Extracting #0: cost 1 inf + 0 117.444 * * [simplify]: Extracting #1: cost 3 inf + 0 117.444 * * [simplify]: Extracting #2: cost 6 inf + 0 117.444 * * [simplify]: Extracting #3: cost 60 inf + 0 117.445 * * [simplify]: Extracting #4: cost 171 inf + 0 117.445 * * [simplify]: Extracting #5: cost 218 inf + 44 117.447 * * [simplify]: Extracting #6: cost 180 inf + 15554 117.454 * * [simplify]: Extracting #7: cost 61 inf + 56968 117.472 * * [simplify]: Extracting #8: cost 2 inf + 75088 117.486 * * [simplify]: Extracting #9: cost 0 inf + 76655 117.511 * * [simplify]: Extracting #10: cost 0 inf + 76354 117.527 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 117.527 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 117.528 * * * * [progress]: [ 132 / 188 ] simplifiying candidate # 117.528 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 117.528 * * [simplify]: iters left: 6 (39 enodes) 117.539 * * [simplify]: iters left: 5 (184 enodes) 117.616 * * [simplify]: Extracting #0: cost 1 inf + 0 117.616 * * [simplify]: Extracting #1: cost 3 inf + 0 117.616 * * [simplify]: Extracting #2: cost 6 inf + 0 117.616 * * [simplify]: Extracting #3: cost 62 inf + 0 117.616 * * [simplify]: Extracting #4: cost 169 inf + 0 117.617 * * [simplify]: Extracting #5: cost 214 inf + 44 117.618 * * [simplify]: Extracting #6: cost 171 inf + 14538 117.625 * * [simplify]: Extracting #7: cost 71 inf + 45854 117.644 * * [simplify]: Extracting #8: cost 3 inf + 71877 117.659 * * [simplify]: Extracting #9: cost 1 inf + 72521 117.673 * * [simplify]: Extracting #10: cost 0 inf + 73906 117.695 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (- lambda1 lambda2)) (+ phi2 phi1)))))) 117.695 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (- lambda1 lambda2)) (+ phi2 phi1)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 117.695 * * * * [progress]: [ 133 / 188 ] simplifiying candidate # 117.695 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 117.696 * * [simplify]: iters left: 6 (33 enodes) 117.708 * * [simplify]: iters left: 5 (148 enodes) 117.748 * * [simplify]: iters left: 4 (393 enodes) 117.972 * * [simplify]: Extracting #0: cost 1 inf + 0 117.972 * * [simplify]: Extracting #1: cost 3 inf + 0 117.972 * * [simplify]: Extracting #2: cost 26 inf + 0 117.973 * * [simplify]: Extracting #3: cost 266 inf + 0 117.977 * * [simplify]: Extracting #4: cost 584 inf + 1437 117.986 * * [simplify]: Extracting #5: cost 555 inf + 19823 118.018 * * [simplify]: Extracting #6: cost 341 inf + 73980 118.068 * * [simplify]: Extracting #7: cost 78 inf + 175998 118.133 * * [simplify]: Extracting #8: cost 13 inf + 206071 118.221 * * [simplify]: Extracting #9: cost 3 inf + 211076 118.306 * * [simplify]: Extracting #10: cost 0 inf + 212526 118.365 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 118.365 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 118.365 * * * * [progress]: [ 134 / 188 ] simplifiying candidate # 118.366 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 118.366 * * [simplify]: iters left: 6 (38 enodes) 118.378 * * [simplify]: iters left: 5 (176 enodes) 118.432 * * [simplify]: iters left: 4 (457 enodes) 118.717 * * [simplify]: Extracting #0: cost 1 inf + 0 118.717 * * [simplify]: Extracting #1: cost 3 inf + 0 118.717 * * [simplify]: Extracting #2: cost 23 inf + 0 118.719 * * [simplify]: Extracting #3: cost 300 inf + 0 118.728 * * [simplify]: Extracting #4: cost 658 inf + 663 118.735 * * [simplify]: Extracting #5: cost 730 inf + 12384 118.744 * * [simplify]: Extracting #6: cost 585 inf + 52678 118.776 * * [simplify]: Extracting #7: cost 311 inf + 149061 118.877 * * [simplify]: Extracting #8: cost 17 inf + 291749 118.966 * * [simplify]: Extracting #9: cost 0 inf + 301963 119.078 * [simplify]: Simplified to (sqrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) 119.078 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 119.079 * * * * [progress]: [ 135 / 188 ] simplifiying candidate # 119.079 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 119.079 * * [simplify]: iters left: 6 (33 enodes) 119.093 * * [simplify]: iters left: 5 (148 enodes) 119.140 * * [simplify]: iters left: 4 (384 enodes) 119.386 * * [simplify]: Extracting #0: cost 1 inf + 0 119.386 * * [simplify]: Extracting #1: cost 3 inf + 0 119.387 * * [simplify]: Extracting #2: cost 19 inf + 0 119.387 * * [simplify]: Extracting #3: cost 255 inf + 0 119.389 * * [simplify]: Extracting #4: cost 521 inf + 829 119.393 * * [simplify]: Extracting #5: cost 573 inf + 15914 119.427 * * [simplify]: Extracting #6: cost 279 inf + 95707 119.506 * * [simplify]: Extracting #7: cost 44 inf + 191005 119.586 * * [simplify]: Extracting #8: cost 11 inf + 204078 119.658 * * [simplify]: Extracting #9: cost 0 inf + 210449 119.706 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))) 119.706 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 119.707 * * * * [progress]: [ 136 / 188 ] simplifiying candidate # 119.707 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 119.707 * * [simplify]: iters left: 6 (38 enodes) 119.718 * * [simplify]: iters left: 5 (176 enodes) 119.775 * * [simplify]: iters left: 4 (457 enodes) 120.063 * * [simplify]: Extracting #0: cost 1 inf + 0 120.063 * * [simplify]: Extracting #1: cost 3 inf + 0 120.063 * * [simplify]: Extracting #2: cost 23 inf + 0 120.064 * * [simplify]: Extracting #3: cost 286 inf + 0 120.067 * * [simplify]: Extracting #4: cost 621 inf + 622 120.076 * * [simplify]: Extracting #5: cost 732 inf + 10314 120.097 * * [simplify]: Extracting #6: cost 599 inf + 45377 120.130 * * [simplify]: Extracting #7: cost 324 inf + 143028 120.222 * * [simplify]: Extracting #8: cost 48 inf + 274373 120.304 * * [simplify]: Extracting #9: cost 0 inf + 303091 120.395 * [simplify]: Simplified to (sqrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (- lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) 120.396 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (- lambda1 lambda2)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 120.396 * * * * [progress]: [ 137 / 188 ] simplifiying candidate # 120.397 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 120.397 * * [simplify]: iters left: 6 (33 enodes) 120.415 * * [simplify]: iters left: 5 (148 enodes) 120.481 * * [simplify]: iters left: 4 (384 enodes) 120.736 * * [simplify]: Extracting #0: cost 1 inf + 0 120.736 * * [simplify]: Extracting #1: cost 3 inf + 0 120.736 * * [simplify]: Extracting #2: cost 19 inf + 0 120.737 * * [simplify]: Extracting #3: cost 252 inf + 0 120.740 * * [simplify]: Extracting #4: cost 527 inf + 580 120.749 * * [simplify]: Extracting #5: cost 593 inf + 13109 120.760 * * [simplify]: Extracting #6: cost 423 inf + 49137 120.778 * * [simplify]: Extracting #7: cost 283 inf + 91282 120.827 * * [simplify]: Extracting #8: cost 26 inf + 197481 120.898 * * [simplify]: Extracting #9: cost 0 inf + 211207 120.972 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))))) 120.972 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 120.973 * * * * [progress]: [ 138 / 188 ] simplifiying candidate # 120.974 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 120.974 * * [simplify]: iters left: 6 (34 enodes) 120.993 * * [simplify]: iters left: 5 (150 enodes) 121.048 * * [simplify]: iters left: 4 (425 enodes) 121.370 * * [simplify]: Extracting #0: cost 1 inf + 0 121.370 * * [simplify]: Extracting #1: cost 3 inf + 0 121.370 * * [simplify]: Extracting #2: cost 26 inf + 0 121.370 * * [simplify]: Extracting #3: cost 300 inf + 0 121.373 * * [simplify]: Extracting #4: cost 821 inf + 620 121.383 * * [simplify]: Extracting #5: cost 795 inf + 22142 121.413 * * [simplify]: Extracting #6: cost 573 inf + 74767 121.463 * * [simplify]: Extracting #7: cost 156 inf + 245324 121.556 * * [simplify]: Extracting #8: cost 2 inf + 314935 121.626 * * [simplify]: Extracting #9: cost 0 inf + 315145 121.726 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 121.726 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 121.726 * * * * [progress]: [ 139 / 188 ] simplifiying candidate # 121.727 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 121.727 * * [simplify]: iters left: 6 (35 enodes) 121.745 * * [simplify]: iters left: 5 (159 enodes) 121.815 * * [simplify]: iters left: 4 (458 enodes) 122.207 * * [simplify]: Extracting #0: cost 1 inf + 0 122.207 * * [simplify]: Extracting #1: cost 3 inf + 0 122.208 * * [simplify]: Extracting #2: cost 22 inf + 0 122.208 * * [simplify]: Extracting #3: cost 288 inf + 0 122.212 * * [simplify]: Extracting #4: cost 772 inf + 503 122.220 * * [simplify]: Extracting #5: cost 886 inf + 11645 122.246 * * [simplify]: Extracting #6: cost 604 inf + 80855 122.324 * * [simplify]: Extracting #7: cost 191 inf + 231594 122.448 * * [simplify]: Extracting #8: cost 1 inf + 314255 122.548 * * [simplify]: Extracting #9: cost 0 inf + 314480 122.648 * * [simplify]: Extracting #10: cost 0 inf + 314440 122.778 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ phi1 phi2))) (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 122.779 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ phi1 phi2))) (* (+ phi1 phi2) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 122.779 * * * * [progress]: [ 140 / 188 ] simplifiying candidate # 122.779 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 122.780 * * [simplify]: iters left: 6 (35 enodes) 122.800 * * [simplify]: iters left: 5 (159 enodes) 122.861 * * [simplify]: iters left: 4 (456 enodes) 123.260 * * [simplify]: Extracting #0: cost 1 inf + 0 123.260 * * [simplify]: Extracting #1: cost 3 inf + 0 123.260 * * [simplify]: Extracting #2: cost 26 inf + 0 123.261 * * [simplify]: Extracting #3: cost 334 inf + 0 123.266 * * [simplify]: Extracting #4: cost 785 inf + 1150 123.279 * * [simplify]: Extracting #5: cost 759 inf + 26329 123.309 * * [simplify]: Extracting #6: cost 528 inf + 83348 123.379 * * [simplify]: Extracting #7: cost 183 inf + 202219 123.468 * * [simplify]: Extracting #8: cost 11 inf + 277953 123.542 * * [simplify]: Extracting #9: cost 1 inf + 283963 123.628 * * [simplify]: Extracting #10: cost 0 inf + 284868 123.713 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) 123.713 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 123.714 * * * * [progress]: [ 141 / 188 ] simplifiying candidate # 123.714 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 123.714 * * [simplify]: iters left: 6 (28 enodes) 123.728 * * [simplify]: iters left: 5 (118 enodes) 123.775 * * [simplify]: iters left: 4 (328 enodes) 123.939 * * [simplify]: Extracting #0: cost 1 inf + 0 123.939 * * [simplify]: Extracting #1: cost 3 inf + 0 123.939 * * [simplify]: Extracting #2: cost 22 inf + 0 123.939 * * [simplify]: Extracting #3: cost 222 inf + 0 123.941 * * [simplify]: Extracting #4: cost 564 inf + 459 123.945 * * [simplify]: Extracting #5: cost 541 inf + 13559 123.962 * * [simplify]: Extracting #6: cost 287 inf + 69134 124.004 * * [simplify]: Extracting #7: cost 41 inf + 151615 124.041 * * [simplify]: Extracting #8: cost 1 inf + 166692 124.084 * * [simplify]: Extracting #9: cost 0 inf + 167357 124.119 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) 124.119 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 124.119 * * * * [progress]: [ 142 / 188 ] simplifiying candidate # 124.119 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 124.119 * * [simplify]: iters left: 6 (34 enodes) 124.129 * * [simplify]: iters left: 5 (151 enodes) 124.191 * * [simplify]: iters left: 4 (399 enodes) 124.366 * * [simplify]: Extracting #0: cost 1 inf + 0 124.366 * * [simplify]: Extracting #1: cost 3 inf + 0 124.366 * * [simplify]: Extracting #2: cost 21 inf + 0 124.366 * * [simplify]: Extracting #3: cost 284 inf + 0 124.368 * * [simplify]: Extracting #4: cost 666 inf + 786 124.373 * * [simplify]: Extracting #5: cost 695 inf + 12560 124.387 * * [simplify]: Extracting #6: cost 512 inf + 54324 124.416 * * [simplify]: Extracting #7: cost 178 inf + 164655 124.461 * * [simplify]: Extracting #8: cost 9 inf + 237067 124.526 * * [simplify]: Extracting #9: cost 0 inf + 243612 124.608 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- phi1 phi2))))) 124.608 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 124.608 * * * * [progress]: [ 143 / 188 ] simplifiying candidate # 124.608 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 124.608 * * [simplify]: iters left: 6 (28 enodes) 124.616 * * [simplify]: iters left: 5 (118 enodes) 124.648 * * [simplify]: iters left: 4 (319 enodes) 124.806 * * [simplify]: Extracting #0: cost 1 inf + 0 124.806 * * [simplify]: Extracting #1: cost 3 inf + 0 124.806 * * [simplify]: Extracting #2: cost 17 inf + 0 124.807 * * [simplify]: Extracting #3: cost 235 inf + 0 124.809 * * [simplify]: Extracting #4: cost 530 inf + 337 124.816 * * [simplify]: Extracting #5: cost 538 inf + 11617 124.833 * * [simplify]: Extracting #6: cost 304 inf + 59342 124.863 * * [simplify]: Extracting #7: cost 48 inf + 146686 124.895 * * [simplify]: Extracting #8: cost 1 inf + 162935 124.948 * * [simplify]: Extracting #9: cost 0 inf + 163480 125.008 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)))) 125.008 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 125.009 * * * * [progress]: [ 144 / 188 ] simplifiying candidate # 125.009 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 125.009 * * [simplify]: iters left: 6 (34 enodes) 125.018 * * [simplify]: iters left: 5 (151 enodes) 125.055 * * [simplify]: iters left: 4 (399 enodes) 125.259 * * [simplify]: Extracting #0: cost 1 inf + 0 125.259 * * [simplify]: Extracting #1: cost 3 inf + 0 125.259 * * [simplify]: Extracting #2: cost 21 inf + 0 125.260 * * [simplify]: Extracting #3: cost 268 inf + 0 125.261 * * [simplify]: Extracting #4: cost 627 inf + 785 125.267 * * [simplify]: Extracting #5: cost 670 inf + 17582 125.277 * * [simplify]: Extracting #6: cost 504 inf + 54813 125.323 * * [simplify]: Extracting #7: cost 141 inf + 182491 125.384 * * [simplify]: Extracting #8: cost 6 inf + 239895 125.460 * * [simplify]: Extracting #9: cost 0 inf + 242284 125.508 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) 125.508 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 125.508 * * * * [progress]: [ 145 / 188 ] simplifiying candidate # 125.508 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 125.508 * * [simplify]: iters left: 6 (28 enodes) 125.516 * * [simplify]: iters left: 5 (118 enodes) 125.549 * * [simplify]: iters left: 4 (319 enodes) 125.741 * * [simplify]: Extracting #0: cost 1 inf + 0 125.741 * * [simplify]: Extracting #1: cost 3 inf + 0 125.741 * * [simplify]: Extracting #2: cost 17 inf + 0 125.742 * * [simplify]: Extracting #3: cost 231 inf + 0 125.745 * * [simplify]: Extracting #4: cost 522 inf + 869 125.753 * * [simplify]: Extracting #5: cost 507 inf + 17998 125.773 * * [simplify]: Extracting #6: cost 290 inf + 62661 125.822 * * [simplify]: Extracting #7: cost 42 inf + 146714 125.880 * * [simplify]: Extracting #8: cost 1 inf + 162973 125.943 * * [simplify]: Extracting #9: cost 0 inf + 163558 126.006 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))) 126.006 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 126.006 * * * * [progress]: [ 146 / 188 ] simplifiying candidate # 126.007 * [simplify]: Simplifying (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) 126.007 * * [simplify]: iters left: 6 (22 enodes) 126.019 * * [simplify]: iters left: 5 (97 enodes) 126.048 * * [simplify]: iters left: 4 (252 enodes) 126.179 * * [simplify]: Extracting #0: cost 1 inf + 0 126.179 * * [simplify]: Extracting #1: cost 3 inf + 0 126.179 * * [simplify]: Extracting #2: cost 6 inf + 0 126.179 * * [simplify]: Extracting #3: cost 59 inf + 0 126.179 * * [simplify]: Extracting #4: cost 219 inf + 2 126.180 * * [simplify]: Extracting #5: cost 243 inf + 1708 126.191 * * [simplify]: Extracting #6: cost 152 inf + 21373 126.210 * * [simplify]: Extracting #7: cost 34 inf + 61026 126.226 * * [simplify]: Extracting #8: cost 0 inf + 72895 126.249 * * [simplify]: Extracting #9: cost 0 inf + 72684 126.279 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) 126.279 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (- phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))) 126.279 * * * * [progress]: [ 147 / 188 ] simplifiying candidate # 126.279 * [simplify]: Simplifying (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 126.280 * * [simplify]: iters left: 6 (21 enodes) 126.285 * * [simplify]: iters left: 5 (92 enodes) 126.309 * * [simplify]: iters left: 4 (247 enodes) 126.411 * * [simplify]: Extracting #0: cost 1 inf + 0 126.411 * * [simplify]: Extracting #1: cost 3 inf + 0 126.412 * * [simplify]: Extracting #2: cost 23 inf + 0 126.412 * * [simplify]: Extracting #3: cost 91 inf + 0 126.412 * * [simplify]: Extracting #4: cost 263 inf + 1 126.413 * * [simplify]: Extracting #5: cost 271 inf + 794 126.416 * * [simplify]: Extracting #6: cost 180 inf + 16916 126.429 * * [simplify]: Extracting #7: cost 28 inf + 62406 126.458 * * [simplify]: Extracting #8: cost 0 inf + 72189 126.481 * [simplify]: Simplified to (sqrt (* (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 126.481 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (* (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))) 126.482 * * * * [progress]: [ 148 / 188 ] simplifiying candidate # 126.482 * [simplify]: Simplifying (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))) 126.482 * * [simplify]: iters left: 6 (18 enodes) 126.487 * * [simplify]: iters left: 5 (68 enodes) 126.499 * * [simplify]: iters left: 4 (120 enodes) 126.539 * * [simplify]: iters left: 3 (267 enodes) 126.646 * * [simplify]: Extracting #0: cost 1 inf + 0 126.646 * * [simplify]: Extracting #1: cost 18 inf + 0 126.646 * * [simplify]: Extracting #2: cost 103 inf + 0 126.647 * * [simplify]: Extracting #3: cost 155 inf + 168 126.648 * * [simplify]: Extracting #4: cost 152 inf + 1400 126.649 * * [simplify]: Extracting #5: cost 135 inf + 3680 126.652 * * [simplify]: Extracting #6: cost 93 inf + 14472 126.661 * * [simplify]: Extracting #7: cost 1 inf + 41053 126.670 * * [simplify]: Extracting #8: cost 0 inf + 41236 126.685 * [simplify]: Simplified to (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 126.685 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (/ 1 2)))) 126.686 * * * * [progress]: [ 149 / 188 ] simplifiying candidate # 126.686 * * * * [progress]: [ 150 / 188 ] simplifiying candidate # 126.686 * [simplify]: Simplifying (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) 126.687 * * [simplify]: iters left: 6 (19 enodes) 126.695 * * [simplify]: iters left: 5 (71 enodes) 126.722 * * [simplify]: iters left: 4 (123 enodes) 126.770 * * [simplify]: iters left: 3 (264 enodes) 126.922 * * [simplify]: Extracting #0: cost 1 inf + 0 126.922 * * [simplify]: Extracting #1: cost 3 inf + 0 126.922 * * [simplify]: Extracting #2: cost 20 inf + 0 126.923 * * [simplify]: Extracting #3: cost 106 inf + 0 126.924 * * [simplify]: Extracting #4: cost 163 inf + 87 126.926 * * [simplify]: Extracting #5: cost 150 inf + 3175 126.932 * * [simplify]: Extracting #6: cost 113 inf + 11035 126.953 * * [simplify]: Extracting #7: cost 20 inf + 37230 126.977 * * [simplify]: Extracting #8: cost 0 inf + 43123 126.996 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 126.996 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (fabs (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 126.997 * * * * [progress]: [ 151 / 188 ] simplifiying candidate # 126.997 * * * * [progress]: [ 152 / 188 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))> 126.997 * * * * [progress]: [ 153 / 188 ] simplifiying candidate # 126.997 * * * * [progress]: [ 154 / 188 ] simplifiying candidate # 126.997 * * * * [progress]: [ 155 / 188 ] simplifiying candidate # 126.997 * * * * [progress]: [ 156 / 188 ] simplifiying candidate # 126.997 * * * * [progress]: [ 157 / 188 ] simplifiying candidate # 126.997 * * * * [progress]: [ 158 / 188 ] simplifiying candidate # 126.997 * * * * [progress]: [ 159 / 188 ] simplifiying candidate # 126.997 * * * * [progress]: [ 160 / 188 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))))) (* (- phi1 phi2) (- phi1 phi2))))))> 126.997 * * * * [progress]: [ 161 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 162 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 163 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 164 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 165 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 166 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 167 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 168 / 188 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 126.998 * * * * [progress]: [ 169 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 170 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 171 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 172 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 173 / 188 ] simplifiying candidate # 126.998 * * * * [progress]: [ 174 / 188 ] simplifiying candidate # 126.999 * * * * [progress]: [ 175 / 188 ] simplifiying candidate # 126.999 * * * * [progress]: [ 176 / 188 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 126.999 * * * * [progress]: [ 177 / 188 ] simplifiying candidate # 126.999 * [simplify]: Simplifying (- phi2 phi1) 126.999 * * [simplify]: iters left: 2 (3 enodes) 127.000 * * [simplify]: iters left: 1 (11 enodes) 127.003 * * [simplify]: Extracting #0: cost 1 inf + 0 127.003 * * [simplify]: Extracting #1: cost 5 inf + 0 127.004 * * [simplify]: Extracting #2: cost 3 inf + 43 127.004 * * [simplify]: Extracting #3: cost 0 inf + 168 127.004 * [simplify]: Simplified to (- phi2 phi1) 127.004 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- phi2 phi1))) 127.004 * * * * [progress]: [ 178 / 188 ] simplifiying candidate # 127.004 * [simplify]: Simplifying (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 127.004 * * [simplify]: iters left: 6 (20 enodes) 127.015 * * [simplify]: iters left: 5 (101 enodes) 127.045 * * [simplify]: iters left: 4 (236 enodes) 127.112 * * [simplify]: Extracting #0: cost 1 inf + 0 127.112 * * [simplify]: Extracting #1: cost 17 inf + 0 127.113 * * [simplify]: Extracting #2: cost 108 inf + 0 127.114 * * [simplify]: Extracting #3: cost 193 inf + 1478 127.117 * * [simplify]: Extracting #4: cost 170 inf + 5958 127.124 * * [simplify]: Extracting #5: cost 99 inf + 20187 127.142 * * [simplify]: Extracting #6: cost 5 inf + 47270 127.161 * * [simplify]: Extracting #7: cost 0 inf + 49274 127.172 * [simplify]: Simplified to (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) 127.173 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))) 127.173 * * * * [progress]: [ 179 / 188 ] simplifiying candidate # 127.173 * [simplify]: Simplifying (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 127.173 * * [simplify]: iters left: 6 (19 enodes) 127.179 * * [simplify]: iters left: 5 (95 enodes) 127.206 * * [simplify]: iters left: 4 (213 enodes) 127.276 * * [simplify]: Extracting #0: cost 1 inf + 0 127.276 * * [simplify]: Extracting #1: cost 8 inf + 0 127.276 * * [simplify]: Extracting #2: cost 96 inf + 0 127.277 * * [simplify]: Extracting #3: cost 156 inf + 460 127.280 * * [simplify]: Extracting #4: cost 113 inf + 5242 127.284 * * [simplify]: Extracting #5: cost 93 inf + 7303 127.291 * * [simplify]: Extracting #6: cost 32 inf + 21983 127.307 * * [simplify]: Extracting #7: cost 1 inf + 30137 127.316 * * [simplify]: Extracting #8: cost 0 inf + 30482 127.323 * [simplify]: Simplified to (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))) 127.323 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))))) 127.323 * * * * [progress]: [ 180 / 188 ] simplifiying candidate # 127.324 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 127.324 * * [simplify]: iters left: 6 (12 enodes) 127.329 * * [simplify]: iters left: 5 (52 enodes) 127.339 * * [simplify]: iters left: 4 (79 enodes) 127.366 * * [simplify]: iters left: 3 (149 enodes) 127.400 * * [simplify]: iters left: 2 (242 enodes) 127.477 * * [simplify]: iters left: 1 (300 enodes) 127.551 * * [simplify]: Extracting #0: cost 1 inf + 0 127.551 * * [simplify]: Extracting #1: cost 19 inf + 0 127.551 * * [simplify]: Extracting #2: cost 52 inf + 2 127.552 * * [simplify]: Extracting #3: cost 51 inf + 1156 127.553 * * [simplify]: Extracting #4: cost 13 inf + 4737 127.555 * * [simplify]: Extracting #5: cost 0 inf + 6466 127.557 * * [simplify]: Extracting #6: cost 0 inf + 6426 127.561 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 127.561 * [simplify]: Simplified (2 2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 127.562 * * * * [progress]: [ 181 / 188 ] simplifiying candidate # 127.562 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 127.562 * * [simplify]: iters left: 5 (6 enodes) 127.565 * * [simplify]: iters left: 4 (26 enodes) 127.575 * * [simplify]: iters left: 3 (36 enodes) 127.583 * * [simplify]: Extracting #0: cost 1 inf + 0 127.583 * * [simplify]: Extracting #1: cost 3 inf + 0 127.583 * * [simplify]: Extracting #2: cost 8 inf + 0 127.584 * * [simplify]: Extracting #3: cost 12 inf + 1 127.584 * * [simplify]: Extracting #4: cost 7 inf + 129 127.584 * * [simplify]: Extracting #5: cost 1 inf + 564 127.584 * * [simplify]: Extracting #6: cost 0 inf + 707 127.585 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 127.585 * [simplify]: Simplified (2 2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (* (+ phi1 phi2) 1/2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 127.585 * * * * [progress]: [ 182 / 188 ] simplifiying candidate # 127.585 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 127.585 * * [simplify]: iters left: 5 (6 enodes) 127.589 * * [simplify]: iters left: 4 (26 enodes) 127.597 * * [simplify]: iters left: 3 (36 enodes) 127.602 * * [simplify]: Extracting #0: cost 1 inf + 0 127.602 * * [simplify]: Extracting #1: cost 3 inf + 0 127.602 * * [simplify]: Extracting #2: cost 8 inf + 0 127.602 * * [simplify]: Extracting #3: cost 12 inf + 1 127.602 * * [simplify]: Extracting #4: cost 7 inf + 129 127.602 * * [simplify]: Extracting #5: cost 1 inf + 564 127.602 * * [simplify]: Extracting #6: cost 0 inf + 707 127.602 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 127.602 * [simplify]: Simplified (2 2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (* (+ phi1 phi2) 1/2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 127.602 * * * * [progress]: [ 183 / 188 ] simplifiying candidate # 127.603 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 127.603 * * [simplify]: iters left: 6 (12 enodes) 127.607 * * [simplify]: iters left: 5 (52 enodes) 127.616 * * [simplify]: iters left: 4 (79 enodes) 127.640 * * [simplify]: iters left: 3 (149 enodes) 127.674 * * [simplify]: iters left: 2 (242 enodes) 127.733 * * [simplify]: iters left: 1 (300 enodes) 127.788 * * [simplify]: Extracting #0: cost 1 inf + 0 127.788 * * [simplify]: Extracting #1: cost 19 inf + 0 127.788 * * [simplify]: Extracting #2: cost 52 inf + 2 127.789 * * [simplify]: Extracting #3: cost 51 inf + 1156 127.790 * * [simplify]: Extracting #4: cost 13 inf + 4737 127.792 * * [simplify]: Extracting #5: cost 0 inf + 6466 127.796 * * [simplify]: Extracting #6: cost 0 inf + 6426 127.799 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 127.799 * [simplify]: Simplified (2 2 1 1 2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 127.800 * * * * [progress]: [ 184 / 188 ] simplifiying candidate # 127.800 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 127.800 * * [simplify]: iters left: 5 (6 enodes) 127.804 * * [simplify]: iters left: 4 (26 enodes) 127.812 * * [simplify]: iters left: 3 (36 enodes) 127.822 * * [simplify]: Extracting #0: cost 1 inf + 0 127.823 * * [simplify]: Extracting #1: cost 3 inf + 0 127.823 * * [simplify]: Extracting #2: cost 8 inf + 0 127.823 * * [simplify]: Extracting #3: cost 12 inf + 1 127.823 * * [simplify]: Extracting #4: cost 7 inf + 129 127.823 * * [simplify]: Extracting #5: cost 1 inf + 564 127.823 * * [simplify]: Extracting #6: cost 0 inf + 707 127.824 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 127.824 * [simplify]: Simplified (2 2 1 1 2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (* (+ phi1 phi2) 1/2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 127.824 * * * * [progress]: [ 185 / 188 ] simplifiying candidate # 127.824 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 127.824 * * [simplify]: iters left: 5 (6 enodes) 127.828 * * [simplify]: iters left: 4 (26 enodes) 127.835 * * [simplify]: iters left: 3 (36 enodes) 127.840 * * [simplify]: Extracting #0: cost 1 inf + 0 127.840 * * [simplify]: Extracting #1: cost 3 inf + 0 127.840 * * [simplify]: Extracting #2: cost 8 inf + 0 127.840 * * [simplify]: Extracting #3: cost 12 inf + 1 127.840 * * [simplify]: Extracting #4: cost 7 inf + 129 127.840 * * [simplify]: Extracting #5: cost 1 inf + 564 127.841 * * [simplify]: Extracting #6: cost 0 inf + 707 127.841 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 127.841 * [simplify]: Simplified (2 2 1 1 2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (* (+ phi1 phi2) 1/2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 127.841 * * * * [progress]: [ 186 / 188 ] simplifiying candidate # 127.841 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 127.841 * * [simplify]: iters left: 6 (12 enodes) 127.845 * * [simplify]: iters left: 5 (52 enodes) 127.856 * * [simplify]: iters left: 4 (79 enodes) 127.874 * * [simplify]: iters left: 3 (149 enodes) 127.913 * * [simplify]: iters left: 2 (242 enodes) 127.967 * * [simplify]: iters left: 1 (300 enodes) 128.046 * * [simplify]: Extracting #0: cost 1 inf + 0 128.046 * * [simplify]: Extracting #1: cost 19 inf + 0 128.046 * * [simplify]: Extracting #2: cost 52 inf + 2 128.046 * * [simplify]: Extracting #3: cost 51 inf + 1156 128.048 * * [simplify]: Extracting #4: cost 13 inf + 4737 128.049 * * [simplify]: Extracting #5: cost 0 inf + 6466 128.051 * * [simplify]: Extracting #6: cost 0 inf + 6426 128.053 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 128.053 * [simplify]: Simplified (2 2 1 1 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 128.053 * * * * [progress]: [ 187 / 188 ] simplifiying candidate # 128.054 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 128.054 * * [simplify]: iters left: 5 (6 enodes) 128.056 * * [simplify]: iters left: 4 (26 enodes) 128.065 * * [simplify]: iters left: 3 (36 enodes) 128.073 * * [simplify]: Extracting #0: cost 1 inf + 0 128.073 * * [simplify]: Extracting #1: cost 3 inf + 0 128.073 * * [simplify]: Extracting #2: cost 8 inf + 0 128.073 * * [simplify]: Extracting #3: cost 12 inf + 1 128.073 * * [simplify]: Extracting #4: cost 7 inf + 129 128.074 * * [simplify]: Extracting #5: cost 1 inf + 564 128.074 * * [simplify]: Extracting #6: cost 0 inf + 707 128.074 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 128.074 * [simplify]: Simplified (2 2 1 1 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 128.074 * * * * [progress]: [ 188 / 188 ] simplifiying candidate # 128.075 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 128.075 * * [simplify]: iters left: 5 (6 enodes) 128.078 * * [simplify]: iters left: 4 (26 enodes) 128.087 * * [simplify]: iters left: 3 (36 enodes) 128.095 * * [simplify]: Extracting #0: cost 1 inf + 0 128.095 * * [simplify]: Extracting #1: cost 3 inf + 0 128.095 * * [simplify]: Extracting #2: cost 8 inf + 0 128.095 * * [simplify]: Extracting #3: cost 12 inf + 1 128.095 * * [simplify]: Extracting #4: cost 7 inf + 129 128.095 * * [simplify]: Extracting #5: cost 1 inf + 564 128.096 * * [simplify]: Extracting #6: cost 0 inf + 707 128.096 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 128.096 * [simplify]: Simplified (2 2 1 1 2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 128.096 * * * [progress]: adding candidates to table 132.901 * * [progress]: iteration 3 / 4 132.901 * * * [progress]: picking best candidate 132.970 * * * * [pick]: Picked # 132.970 * * * [progress]: localizing error 133.070 * * * [progress]: generating rewritten candidates 133.070 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 133.549 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2 1 2) 133.563 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2 1 1 2 2 1) 133.571 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2 1 1 2 1 2 1) 133.583 * * * [progress]: generating series expansions 133.583 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 133.583 * [backup-simplify]: Simplify (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) 133.584 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 133.584 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 133.584 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 133.584 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 133.584 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 133.584 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 133.584 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 133.584 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 133.584 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.584 * [backup-simplify]: Simplify 1/2 into 1/2 133.584 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 133.584 * [taylor]: Taking taylor expansion of phi1 in phi2 133.584 * [backup-simplify]: Simplify phi1 into phi1 133.584 * [taylor]: Taking taylor expansion of phi2 in phi2 133.584 * [backup-simplify]: Simplify 0 into 0 133.584 * [backup-simplify]: Simplify 1 into 1 133.584 * [backup-simplify]: Simplify (+ phi1 0) into phi1 133.584 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 133.584 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 133.584 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 133.584 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 133.584 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 133.585 * [backup-simplify]: Simplify (- 0) into 0 133.585 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 133.585 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 133.585 * [taylor]: Taking taylor expansion of lambda1 in phi2 133.585 * [backup-simplify]: Simplify lambda1 into lambda1 133.585 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 133.585 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 133.585 * [taylor]: Taking taylor expansion of phi2 in phi2 133.585 * [backup-simplify]: Simplify 0 into 0 133.585 * [backup-simplify]: Simplify 1 into 1 133.585 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 133.585 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 133.585 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 133.585 * [taylor]: Taking taylor expansion of lambda2 in phi2 133.585 * [backup-simplify]: Simplify lambda2 into lambda2 133.585 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 133.585 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 133.585 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 133.585 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.585 * [backup-simplify]: Simplify 1/2 into 1/2 133.585 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 133.585 * [taylor]: Taking taylor expansion of phi1 in phi2 133.585 * [backup-simplify]: Simplify phi1 into phi1 133.585 * [taylor]: Taking taylor expansion of phi2 in phi2 133.585 * [backup-simplify]: Simplify 0 into 0 133.585 * [backup-simplify]: Simplify 1 into 1 133.585 * [backup-simplify]: Simplify (+ phi1 0) into phi1 133.585 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 133.585 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 133.585 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 133.585 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 133.586 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 133.586 * [backup-simplify]: Simplify (- 0) into 0 133.586 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 133.586 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 133.586 * [taylor]: Taking taylor expansion of phi1 in phi2 133.586 * [backup-simplify]: Simplify phi1 into phi1 133.586 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 133.586 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 133.586 * [taylor]: Taking taylor expansion of 2 in phi2 133.586 * [backup-simplify]: Simplify 2 into 2 133.586 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 133.586 * [taylor]: Taking taylor expansion of phi1 in phi2 133.586 * [backup-simplify]: Simplify phi1 into phi1 133.586 * [taylor]: Taking taylor expansion of phi2 in phi2 133.586 * [backup-simplify]: Simplify 0 into 0 133.586 * [backup-simplify]: Simplify 1 into 1 133.586 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 133.586 * [taylor]: Taking taylor expansion of 2 in phi2 133.586 * [backup-simplify]: Simplify 2 into 2 133.586 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 133.586 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 133.586 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 133.586 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 133.586 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.586 * [backup-simplify]: Simplify 1/2 into 1/2 133.586 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 133.586 * [taylor]: Taking taylor expansion of phi1 in phi2 133.586 * [backup-simplify]: Simplify phi1 into phi1 133.586 * [taylor]: Taking taylor expansion of phi2 in phi2 133.586 * [backup-simplify]: Simplify 0 into 0 133.586 * [backup-simplify]: Simplify 1 into 1 133.586 * [backup-simplify]: Simplify (+ phi1 0) into phi1 133.587 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 133.587 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 133.587 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 133.587 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 133.587 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 133.587 * [backup-simplify]: Simplify (- 0) into 0 133.587 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 133.587 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 133.587 * [taylor]: Taking taylor expansion of lambda2 in phi2 133.587 * [backup-simplify]: Simplify lambda2 into lambda2 133.587 * [taylor]: Taking taylor expansion of lambda1 in phi2 133.587 * [backup-simplify]: Simplify lambda1 into lambda1 133.587 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 133.587 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 133.587 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 133.587 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 133.588 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 133.588 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 133.588 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.588 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 133.588 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 133.588 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 133.588 * [backup-simplify]: Simplify (* phi1 0) into 0 133.589 * [backup-simplify]: Simplify (* 2 0) into 0 133.589 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 133.589 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 133.589 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 133.589 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 133.589 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 133.589 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 133.590 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 133.590 * [backup-simplify]: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 133.590 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 133.591 * [backup-simplify]: Simplify (+ 0) into 0 133.591 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 133.591 * [backup-simplify]: Simplify (+ 0 1) into 1 133.592 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 133.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 133.593 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 133.593 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 133.593 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 133.593 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 133.594 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) 133.594 * [backup-simplify]: Simplify (+ 0) into 0 133.595 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 133.595 * [backup-simplify]: Simplify (+ 0 1) into 1 133.596 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 133.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 133.597 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 133.597 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 133.597 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 133.598 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 133.598 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 133.598 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 133.598 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 133.599 * [backup-simplify]: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 133.599 * [backup-simplify]: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 133.600 * [backup-simplify]: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) 133.600 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 133.601 * [backup-simplify]: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1) 133.601 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 133.601 * [backup-simplify]: Simplify (+ 0) into 0 133.602 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 133.602 * [backup-simplify]: Simplify (+ 0 1) into 1 133.603 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 133.604 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 133.604 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 133.604 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 133.604 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 133.605 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 133.605 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) 133.606 * [backup-simplify]: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 133.606 * [backup-simplify]: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 133.607 * [backup-simplify]: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1)) 133.608 * [backup-simplify]: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 133.610 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))))) 133.610 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 133.610 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 133.610 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 133.610 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 133.610 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 133.610 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 133.610 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 133.610 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.610 * [backup-simplify]: Simplify 1/2 into 1/2 133.610 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 133.610 * [taylor]: Taking taylor expansion of phi1 in phi1 133.610 * [backup-simplify]: Simplify 0 into 0 133.610 * [backup-simplify]: Simplify 1 into 1 133.610 * [taylor]: Taking taylor expansion of phi2 in phi1 133.610 * [backup-simplify]: Simplify phi2 into phi2 133.610 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 133.610 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 133.611 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 133.611 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 133.611 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 133.611 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 133.611 * [backup-simplify]: Simplify (- 0) into 0 133.612 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 133.612 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 133.612 * [taylor]: Taking taylor expansion of lambda1 in phi1 133.612 * [backup-simplify]: Simplify lambda1 into lambda1 133.612 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 133.612 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 133.612 * [taylor]: Taking taylor expansion of phi2 in phi1 133.612 * [backup-simplify]: Simplify phi2 into phi2 133.612 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 133.612 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 133.612 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 133.612 * [taylor]: Taking taylor expansion of lambda2 in phi1 133.612 * [backup-simplify]: Simplify lambda2 into lambda2 133.612 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 133.612 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 133.612 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 133.612 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.612 * [backup-simplify]: Simplify 1/2 into 1/2 133.612 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 133.612 * [taylor]: Taking taylor expansion of phi1 in phi1 133.612 * [backup-simplify]: Simplify 0 into 0 133.612 * [backup-simplify]: Simplify 1 into 1 133.612 * [taylor]: Taking taylor expansion of phi2 in phi1 133.612 * [backup-simplify]: Simplify phi2 into phi2 133.612 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 133.612 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 133.612 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 133.612 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 133.612 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 133.613 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 133.613 * [backup-simplify]: Simplify (- 0) into 0 133.613 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 133.613 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 133.613 * [taylor]: Taking taylor expansion of phi1 in phi1 133.613 * [backup-simplify]: Simplify 0 into 0 133.613 * [backup-simplify]: Simplify 1 into 1 133.613 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 133.613 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 133.613 * [taylor]: Taking taylor expansion of 2 in phi1 133.613 * [backup-simplify]: Simplify 2 into 2 133.613 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 133.613 * [taylor]: Taking taylor expansion of phi1 in phi1 133.613 * [backup-simplify]: Simplify 0 into 0 133.613 * [backup-simplify]: Simplify 1 into 1 133.613 * [taylor]: Taking taylor expansion of phi2 in phi1 133.613 * [backup-simplify]: Simplify phi2 into phi2 133.613 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 133.614 * [taylor]: Taking taylor expansion of 2 in phi1 133.614 * [backup-simplify]: Simplify 2 into 2 133.614 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 133.614 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 133.614 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 133.614 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 133.614 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.614 * [backup-simplify]: Simplify 1/2 into 1/2 133.614 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 133.614 * [taylor]: Taking taylor expansion of phi1 in phi1 133.614 * [backup-simplify]: Simplify 0 into 0 133.614 * [backup-simplify]: Simplify 1 into 1 133.614 * [taylor]: Taking taylor expansion of phi2 in phi1 133.614 * [backup-simplify]: Simplify phi2 into phi2 133.614 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 133.614 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 133.614 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 133.614 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 133.614 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 133.614 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 133.615 * [backup-simplify]: Simplify (- 0) into 0 133.615 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 133.615 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 133.615 * [taylor]: Taking taylor expansion of lambda2 in phi1 133.615 * [backup-simplify]: Simplify lambda2 into lambda2 133.615 * [taylor]: Taking taylor expansion of lambda1 in phi1 133.615 * [backup-simplify]: Simplify lambda1 into lambda1 133.615 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 133.615 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 133.615 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 133.615 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.616 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 133.616 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 133.616 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 133.616 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 133.616 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 133.617 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 133.617 * [backup-simplify]: Simplify (* 0 phi2) into 0 133.617 * [backup-simplify]: Simplify (* 2 0) into 0 133.618 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 133.618 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 133.618 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 133.618 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 133.618 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 133.618 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 133.619 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 133.621 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 133.621 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 133.621 * [backup-simplify]: Simplify (+ 0) into 0 133.622 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 133.622 * [backup-simplify]: Simplify (+ 1 0) into 1 133.623 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 133.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 133.624 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 133.624 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 133.624 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 133.625 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 133.625 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) 133.625 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.626 * [backup-simplify]: Simplify (+ 0) into 0 133.626 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 133.627 * [backup-simplify]: Simplify (+ 1 0) into 1 133.627 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 133.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 133.629 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 133.629 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 133.629 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 133.629 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 133.629 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 133.630 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 133.631 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 133.632 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 133.633 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) 133.634 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 133.635 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 133.635 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 133.635 * [backup-simplify]: Simplify (+ 0) into 0 133.636 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 133.636 * [backup-simplify]: Simplify (+ 1 0) into 1 133.637 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 133.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 133.638 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 133.638 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 133.638 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 133.638 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 133.639 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) 133.640 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 133.641 * [backup-simplify]: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 133.641 * [backup-simplify]: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2)) 133.644 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) 133.647 * [backup-simplify]: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) 133.647 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 133.647 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 133.647 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 133.647 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 133.647 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 133.648 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 133.648 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 133.648 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.648 * [backup-simplify]: Simplify 1/2 into 1/2 133.648 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 133.648 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.648 * [backup-simplify]: Simplify phi1 into phi1 133.648 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.648 * [backup-simplify]: Simplify phi2 into phi2 133.648 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.648 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.648 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.648 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.648 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.648 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.649 * [backup-simplify]: Simplify (- 0) into 0 133.649 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.649 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 133.649 * [taylor]: Taking taylor expansion of lambda1 in lambda2 133.649 * [backup-simplify]: Simplify lambda1 into lambda1 133.649 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 133.649 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 133.649 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.649 * [backup-simplify]: Simplify phi2 into phi2 133.649 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 133.649 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 133.649 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 133.649 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.649 * [backup-simplify]: Simplify 0 into 0 133.649 * [backup-simplify]: Simplify 1 into 1 133.649 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 133.649 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 133.649 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 133.649 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.649 * [backup-simplify]: Simplify 1/2 into 1/2 133.649 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 133.650 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.650 * [backup-simplify]: Simplify phi1 into phi1 133.650 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.650 * [backup-simplify]: Simplify phi2 into phi2 133.650 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.650 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.650 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.650 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.650 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.650 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.651 * [backup-simplify]: Simplify (- 0) into 0 133.651 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.651 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 133.651 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.651 * [backup-simplify]: Simplify phi1 into phi1 133.651 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 133.651 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 133.651 * [taylor]: Taking taylor expansion of 2 in lambda2 133.651 * [backup-simplify]: Simplify 2 into 2 133.651 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 133.651 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.651 * [backup-simplify]: Simplify phi1 into phi1 133.651 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.651 * [backup-simplify]: Simplify phi2 into phi2 133.651 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 133.651 * [taylor]: Taking taylor expansion of 2 in lambda2 133.651 * [backup-simplify]: Simplify 2 into 2 133.651 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 133.651 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 133.651 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 133.651 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 133.651 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.651 * [backup-simplify]: Simplify 1/2 into 1/2 133.651 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 133.651 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.651 * [backup-simplify]: Simplify phi1 into phi1 133.651 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.651 * [backup-simplify]: Simplify phi2 into phi2 133.652 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.652 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.652 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.652 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.652 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.652 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.652 * [backup-simplify]: Simplify (- 0) into 0 133.653 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.653 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 133.653 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.653 * [backup-simplify]: Simplify 0 into 0 133.653 * [backup-simplify]: Simplify 1 into 1 133.653 * [taylor]: Taking taylor expansion of lambda1 in lambda2 133.653 * [backup-simplify]: Simplify lambda1 into lambda1 133.653 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.653 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 133.653 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 133.653 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.653 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.653 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 133.653 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 133.654 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 133.654 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.654 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 133.654 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.654 * [backup-simplify]: Simplify (* 0 lambda1) into 0 133.654 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 133.655 * [backup-simplify]: Simplify (* 2 0) into 0 133.655 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 133.655 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 133.656 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 133.656 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 133.656 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 133.657 * [backup-simplify]: Simplify (+ 0) into 0 133.657 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 133.658 * [backup-simplify]: Simplify (+ 0 0) into 0 133.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 133.659 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.660 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 133.660 * [backup-simplify]: Simplify (- 0) into 0 133.660 * [backup-simplify]: Simplify (+ 0 0) into 0 133.661 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 133.661 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0 133.661 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.661 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 133.662 * [backup-simplify]: Simplify (+ 0 0) into 0 133.662 * [backup-simplify]: Simplify (+ 0 0) into 0 133.662 * [backup-simplify]: Simplify (+ 0 0) into 0 133.662 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 133.663 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 133.663 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 133.664 * [backup-simplify]: Simplify (+ 0) into 0 133.664 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 133.665 * [backup-simplify]: Simplify (+ 0 0) into 0 133.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 133.666 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.667 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 133.667 * [backup-simplify]: Simplify (- 0) into 0 133.668 * [backup-simplify]: Simplify (+ 0 0) into 0 133.668 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 133.668 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 133.669 * [backup-simplify]: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 133.669 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 133.670 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 133.670 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 133.671 * [backup-simplify]: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))))) 133.671 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 133.671 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 133.671 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 133.671 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 133.671 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 133.671 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 133.671 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 133.671 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.671 * [backup-simplify]: Simplify 1/2 into 1/2 133.671 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 133.671 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.671 * [backup-simplify]: Simplify phi1 into phi1 133.671 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.671 * [backup-simplify]: Simplify phi2 into phi2 133.672 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.672 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.672 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.672 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.672 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.672 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.673 * [backup-simplify]: Simplify (- 0) into 0 133.673 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.673 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 133.673 * [taylor]: Taking taylor expansion of lambda1 in lambda1 133.673 * [backup-simplify]: Simplify 0 into 0 133.673 * [backup-simplify]: Simplify 1 into 1 133.673 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 133.673 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 133.673 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.673 * [backup-simplify]: Simplify phi2 into phi2 133.673 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 133.673 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 133.673 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 133.673 * [taylor]: Taking taylor expansion of lambda2 in lambda1 133.673 * [backup-simplify]: Simplify lambda2 into lambda2 133.673 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 133.673 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 133.673 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 133.673 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.673 * [backup-simplify]: Simplify 1/2 into 1/2 133.673 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 133.673 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.673 * [backup-simplify]: Simplify phi1 into phi1 133.673 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.673 * [backup-simplify]: Simplify phi2 into phi2 133.673 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.674 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.674 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.674 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.674 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.674 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.674 * [backup-simplify]: Simplify (- 0) into 0 133.675 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.675 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 133.675 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.675 * [backup-simplify]: Simplify phi1 into phi1 133.675 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 133.675 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 133.675 * [taylor]: Taking taylor expansion of 2 in lambda1 133.675 * [backup-simplify]: Simplify 2 into 2 133.675 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 133.675 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.675 * [backup-simplify]: Simplify phi1 into phi1 133.675 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.675 * [backup-simplify]: Simplify phi2 into phi2 133.675 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 133.675 * [taylor]: Taking taylor expansion of 2 in lambda1 133.675 * [backup-simplify]: Simplify 2 into 2 133.675 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 133.675 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 133.675 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 133.675 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 133.675 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.675 * [backup-simplify]: Simplify 1/2 into 1/2 133.675 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 133.675 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.675 * [backup-simplify]: Simplify phi1 into phi1 133.675 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.675 * [backup-simplify]: Simplify phi2 into phi2 133.675 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.675 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.675 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.676 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.676 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.676 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.676 * [backup-simplify]: Simplify (- 0) into 0 133.676 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.676 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 133.676 * [taylor]: Taking taylor expansion of lambda2 in lambda1 133.677 * [backup-simplify]: Simplify lambda2 into lambda2 133.677 * [taylor]: Taking taylor expansion of lambda1 in lambda1 133.677 * [backup-simplify]: Simplify 0 into 0 133.677 * [backup-simplify]: Simplify 1 into 1 133.677 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.677 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 133.677 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.677 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 133.677 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.677 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 133.678 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 133.678 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 133.678 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.679 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 133.679 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.679 * [backup-simplify]: Simplify (* lambda2 0) into 0 133.679 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 133.680 * [backup-simplify]: Simplify (* 2 0) into 0 133.680 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 133.680 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 133.681 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 133.682 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 133.682 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.683 * [backup-simplify]: Simplify (+ 0) into 0 133.684 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 133.684 * [backup-simplify]: Simplify (+ 0 0) into 0 133.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 133.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.686 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 133.687 * [backup-simplify]: Simplify (- 0) into 0 133.687 * [backup-simplify]: Simplify (+ 0 0) into 0 133.687 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 133.687 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 133.688 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 133.688 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 133.688 * [backup-simplify]: Simplify (+ 0 0) into 0 133.689 * [backup-simplify]: Simplify (+ 0 0) into 0 133.689 * [backup-simplify]: Simplify (+ 0 0) into 0 133.689 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 133.690 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 133.690 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 133.691 * [backup-simplify]: Simplify (+ 0) into 0 133.691 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 133.691 * [backup-simplify]: Simplify (+ 0 0) into 0 133.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 133.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.693 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 133.694 * [backup-simplify]: Simplify (- 0) into 0 133.694 * [backup-simplify]: Simplify (+ 0 0) into 0 133.694 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 133.695 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 133.696 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 133.696 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 133.696 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 133.696 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 133.697 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 133.697 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 133.697 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 133.697 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 133.698 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 133.698 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 133.698 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 133.698 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 133.698 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.698 * [backup-simplify]: Simplify 1/2 into 1/2 133.698 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 133.698 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.698 * [backup-simplify]: Simplify phi1 into phi1 133.698 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.698 * [backup-simplify]: Simplify phi2 into phi2 133.698 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.698 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.698 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.698 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.698 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.698 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.699 * [backup-simplify]: Simplify (- 0) into 0 133.699 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.699 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 133.699 * [taylor]: Taking taylor expansion of lambda1 in lambda1 133.699 * [backup-simplify]: Simplify 0 into 0 133.699 * [backup-simplify]: Simplify 1 into 1 133.699 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 133.699 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 133.699 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.699 * [backup-simplify]: Simplify phi2 into phi2 133.699 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 133.699 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 133.699 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 133.699 * [taylor]: Taking taylor expansion of lambda2 in lambda1 133.699 * [backup-simplify]: Simplify lambda2 into lambda2 133.699 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 133.699 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 133.699 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 133.699 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.699 * [backup-simplify]: Simplify 1/2 into 1/2 133.699 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 133.699 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.700 * [backup-simplify]: Simplify phi1 into phi1 133.700 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.700 * [backup-simplify]: Simplify phi2 into phi2 133.700 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.700 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.700 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.700 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.700 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.700 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.701 * [backup-simplify]: Simplify (- 0) into 0 133.701 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.701 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 133.701 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.701 * [backup-simplify]: Simplify phi1 into phi1 133.701 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 133.701 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 133.701 * [taylor]: Taking taylor expansion of 2 in lambda1 133.701 * [backup-simplify]: Simplify 2 into 2 133.701 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 133.701 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.701 * [backup-simplify]: Simplify phi1 into phi1 133.701 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.701 * [backup-simplify]: Simplify phi2 into phi2 133.701 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 133.701 * [taylor]: Taking taylor expansion of 2 in lambda1 133.701 * [backup-simplify]: Simplify 2 into 2 133.701 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 133.701 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 133.701 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 133.701 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 133.701 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.701 * [backup-simplify]: Simplify 1/2 into 1/2 133.701 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 133.701 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.701 * [backup-simplify]: Simplify phi1 into phi1 133.701 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.701 * [backup-simplify]: Simplify phi2 into phi2 133.701 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.702 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.702 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.702 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.702 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.702 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.702 * [backup-simplify]: Simplify (- 0) into 0 133.702 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.703 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 133.703 * [taylor]: Taking taylor expansion of lambda2 in lambda1 133.703 * [backup-simplify]: Simplify lambda2 into lambda2 133.703 * [taylor]: Taking taylor expansion of lambda1 in lambda1 133.703 * [backup-simplify]: Simplify 0 into 0 133.703 * [backup-simplify]: Simplify 1 into 1 133.703 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.703 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 133.703 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.703 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 133.703 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.703 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 133.704 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 133.704 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 133.705 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.705 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 133.705 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.705 * [backup-simplify]: Simplify (* lambda2 0) into 0 133.705 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 133.706 * [backup-simplify]: Simplify (* 2 0) into 0 133.706 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 133.706 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 133.706 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 133.707 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 133.707 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.708 * [backup-simplify]: Simplify (+ 0) into 0 133.708 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 133.709 * [backup-simplify]: Simplify (+ 0 0) into 0 133.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 133.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.711 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 133.711 * [backup-simplify]: Simplify (- 0) into 0 133.712 * [backup-simplify]: Simplify (+ 0 0) into 0 133.712 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 133.712 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 133.712 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 133.712 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 133.713 * [backup-simplify]: Simplify (+ 0 0) into 0 133.713 * [backup-simplify]: Simplify (+ 0 0) into 0 133.713 * [backup-simplify]: Simplify (+ 0 0) into 0 133.713 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 133.714 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 133.714 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 133.715 * [backup-simplify]: Simplify (+ 0) into 0 133.715 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 133.716 * [backup-simplify]: Simplify (+ 0 0) into 0 133.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 133.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.717 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 133.721 * [backup-simplify]: Simplify (- 0) into 0 133.721 * [backup-simplify]: Simplify (+ 0 0) into 0 133.722 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 133.722 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 133.722 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 133.723 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 133.723 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 133.723 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 133.723 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 133.723 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 133.724 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 133.724 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 133.724 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 133.724 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.724 * [backup-simplify]: Simplify phi2 into phi2 133.724 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 133.724 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 133.724 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 133.724 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.724 * [backup-simplify]: Simplify 0 into 0 133.724 * [backup-simplify]: Simplify 1 into 1 133.724 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 133.724 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 133.724 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 133.724 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.724 * [backup-simplify]: Simplify 1/2 into 1/2 133.724 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 133.724 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.724 * [backup-simplify]: Simplify phi1 into phi1 133.724 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.724 * [backup-simplify]: Simplify phi2 into phi2 133.724 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.724 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.724 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.724 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.724 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.724 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.724 * [backup-simplify]: Simplify (- 0) into 0 133.725 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.725 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 133.725 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.725 * [backup-simplify]: Simplify phi1 into phi1 133.725 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 133.725 * [taylor]: Taking taylor expansion of 2 in lambda2 133.725 * [backup-simplify]: Simplify 2 into 2 133.725 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 133.725 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.725 * [backup-simplify]: Simplify phi1 into phi1 133.725 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.725 * [backup-simplify]: Simplify phi2 into phi2 133.725 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.725 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.725 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 133.725 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 133.725 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.725 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 133.725 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 133.725 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 133.725 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 133.725 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.725 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 133.726 * [backup-simplify]: Simplify (+ 0 0) into 0 133.726 * [backup-simplify]: Simplify (+ 0 0) into 0 133.726 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 133.726 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 133.727 * [backup-simplify]: Simplify (- 0) into 0 133.727 * [backup-simplify]: Simplify (+ 0 0) into 0 133.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 133.727 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 133.727 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 133.727 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 133.727 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 133.727 * [taylor]: Taking taylor expansion of phi2 in phi1 133.727 * [backup-simplify]: Simplify phi2 into phi2 133.727 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 133.727 * [taylor]: Taking taylor expansion of phi1 in phi1 133.727 * [backup-simplify]: Simplify 0 into 0 133.727 * [backup-simplify]: Simplify 1 into 1 133.727 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 133.727 * [taylor]: Taking taylor expansion of 2 in phi1 133.727 * [backup-simplify]: Simplify 2 into 2 133.727 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 133.727 * [taylor]: Taking taylor expansion of phi1 in phi1 133.727 * [backup-simplify]: Simplify 0 into 0 133.727 * [backup-simplify]: Simplify 1 into 1 133.727 * [taylor]: Taking taylor expansion of phi2 in phi1 133.727 * [backup-simplify]: Simplify phi2 into phi2 133.727 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.728 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 133.728 * [backup-simplify]: Simplify (* 0 phi2) into 0 133.728 * [backup-simplify]: Simplify (* 2 0) into 0 133.728 * [backup-simplify]: Simplify (- 0) into 0 133.728 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 133.728 * [backup-simplify]: Simplify (sqrt (pow phi2 2)) into phi2 133.728 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.729 * [backup-simplify]: Simplify (+ 0 0) into 0 133.729 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 133.729 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 133.729 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 133.729 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 133.729 * [backup-simplify]: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 133.729 * [taylor]: Taking taylor expansion of phi2 in phi2 133.729 * [backup-simplify]: Simplify 0 into 0 133.729 * [backup-simplify]: Simplify 1 into 1 133.729 * [backup-simplify]: Simplify 0 into 0 133.729 * [taylor]: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 133.729 * [taylor]: Taking taylor expansion of -1 in lambda2 133.729 * [backup-simplify]: Simplify -1 into -1 133.729 * [taylor]: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 133.729 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 133.729 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.729 * [backup-simplify]: Simplify 0 into 0 133.729 * [backup-simplify]: Simplify 1 into 1 133.729 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 133.730 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 133.730 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 133.730 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.730 * [backup-simplify]: Simplify 1/2 into 1/2 133.730 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 133.730 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.730 * [backup-simplify]: Simplify phi1 into phi1 133.730 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.730 * [backup-simplify]: Simplify phi2 into phi2 133.730 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.730 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.730 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.730 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.730 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.730 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.730 * [backup-simplify]: Simplify (- 0) into 0 133.730 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 133.730 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 133.730 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 133.730 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 133.730 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 133.730 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.730 * [backup-simplify]: Simplify phi2 into phi2 133.730 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 133.730 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 133.730 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 133.730 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.730 * [backup-simplify]: Simplify 0 into 0 133.730 * [backup-simplify]: Simplify 1 into 1 133.730 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 133.731 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 133.731 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 133.731 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.731 * [backup-simplify]: Simplify 1/2 into 1/2 133.731 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 133.731 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.731 * [backup-simplify]: Simplify phi1 into phi1 133.731 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.731 * [backup-simplify]: Simplify phi2 into phi2 133.731 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.731 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.731 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.731 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.731 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.731 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.731 * [backup-simplify]: Simplify (- 0) into 0 133.731 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.731 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 133.731 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.731 * [backup-simplify]: Simplify phi1 into phi1 133.731 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 133.731 * [taylor]: Taking taylor expansion of 2 in lambda2 133.731 * [backup-simplify]: Simplify 2 into 2 133.731 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 133.731 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.731 * [backup-simplify]: Simplify phi1 into phi1 133.731 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.731 * [backup-simplify]: Simplify phi2 into phi2 133.731 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.731 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.732 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 133.732 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 133.732 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.732 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 133.732 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 133.732 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 133.732 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 133.732 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 133.732 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.732 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 133.733 * [backup-simplify]: Simplify (+ 0 0) into 0 133.733 * [backup-simplify]: Simplify (+ 0 0) into 0 133.733 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 133.733 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 133.733 * [backup-simplify]: Simplify (- 0) into 0 133.734 * [backup-simplify]: Simplify (+ 0 0) into 0 133.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 133.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 133.734 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.734 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 133.735 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 133.735 * [backup-simplify]: Simplify (* -1 0) into 0 133.735 * [taylor]: Taking taylor expansion of 0 in phi1 133.735 * [backup-simplify]: Simplify 0 into 0 133.735 * [taylor]: Taking taylor expansion of 0 in phi2 133.735 * [backup-simplify]: Simplify 0 into 0 133.735 * [backup-simplify]: Simplify 0 into 0 133.735 * [taylor]: Taking taylor expansion of 0 in phi1 133.735 * [backup-simplify]: Simplify 0 into 0 133.735 * [taylor]: Taking taylor expansion of 0 in phi2 133.735 * [backup-simplify]: Simplify 0 into 0 133.735 * [backup-simplify]: Simplify 0 into 0 133.735 * [taylor]: Taking taylor expansion of -1 in phi2 133.735 * [backup-simplify]: Simplify -1 into -1 133.735 * [backup-simplify]: Simplify -1 into -1 133.735 * [backup-simplify]: Simplify 1 into 1 133.735 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.736 * [backup-simplify]: Simplify (* 1 1) into 1 133.736 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.736 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 133.737 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 133.737 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 133.737 * [backup-simplify]: Simplify (+ 0 0) into 0 133.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 133.738 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 133.739 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 133.739 * [backup-simplify]: Simplify (- 0) into 0 133.739 * [backup-simplify]: Simplify (+ 0 0) into 0 133.740 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 133.740 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 133.740 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 133.741 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 133.741 * [backup-simplify]: Simplify (+ 0 0) into 0 133.741 * [backup-simplify]: Simplify (+ 0 0) into 0 133.741 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.742 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 133.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 133.743 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 133.743 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 133.744 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 133.744 * [backup-simplify]: Simplify (+ 0 0) into 0 133.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 133.745 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 133.745 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 133.746 * [backup-simplify]: Simplify (- 0) into 0 133.746 * [backup-simplify]: Simplify (+ 0 0) into 0 133.746 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 133.746 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 133.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 133.747 * [backup-simplify]: Simplify (+ 0 0) into 0 133.748 * [backup-simplify]: Simplify (- 0) into 0 133.748 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.749 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 133.749 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 133.749 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.749 * [backup-simplify]: Simplify 1/2 into 1/2 133.749 * [taylor]: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 133.749 * [taylor]: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 133.749 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 133.749 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 133.749 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 133.749 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.749 * [backup-simplify]: Simplify 1/2 into 1/2 133.749 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 133.749 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.749 * [backup-simplify]: Simplify phi1 into phi1 133.749 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.749 * [backup-simplify]: Simplify phi2 into phi2 133.749 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.749 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.749 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.749 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.749 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.750 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.750 * [backup-simplify]: Simplify (- 0) into 0 133.750 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.750 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 133.750 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 133.750 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 133.750 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.750 * [backup-simplify]: Simplify 0 into 0 133.750 * [backup-simplify]: Simplify 1 into 1 133.750 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 133.750 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 133.750 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 133.750 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.750 * [backup-simplify]: Simplify 1/2 into 1/2 133.750 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 133.750 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.750 * [backup-simplify]: Simplify phi1 into phi1 133.750 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.750 * [backup-simplify]: Simplify phi2 into phi2 133.750 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.750 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.750 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.750 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.750 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.750 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.751 * [backup-simplify]: Simplify (- 0) into 0 133.751 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.751 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 133.751 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 133.751 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 133.751 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.751 * [backup-simplify]: Simplify phi2 into phi2 133.751 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 133.751 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 133.751 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 133.751 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.751 * [backup-simplify]: Simplify 0 into 0 133.751 * [backup-simplify]: Simplify 1 into 1 133.751 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 133.751 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 133.751 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 133.751 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.751 * [backup-simplify]: Simplify 1/2 into 1/2 133.751 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 133.751 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.751 * [backup-simplify]: Simplify phi1 into phi1 133.751 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.751 * [backup-simplify]: Simplify phi2 into phi2 133.751 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.751 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.751 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.751 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.751 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.751 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.752 * [backup-simplify]: Simplify (- 0) into 0 133.752 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.752 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 133.752 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.752 * [backup-simplify]: Simplify phi1 into phi1 133.752 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 133.752 * [taylor]: Taking taylor expansion of 2 in lambda2 133.752 * [backup-simplify]: Simplify 2 into 2 133.752 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 133.752 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.752 * [backup-simplify]: Simplify phi1 into phi1 133.752 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.752 * [backup-simplify]: Simplify phi2 into phi2 133.752 * [backup-simplify]: Simplify (* 1 1) into 1 133.752 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.752 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 133.752 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 133.752 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.752 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.753 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 133.753 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 133.753 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.753 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 133.753 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 133.753 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 133.753 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 133.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 133.753 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 133.753 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 133.753 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 133.753 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 133.753 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.753 * [backup-simplify]: Simplify phi2 into phi2 133.753 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 133.753 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 133.753 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 133.753 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.753 * [backup-simplify]: Simplify 0 into 0 133.753 * [backup-simplify]: Simplify 1 into 1 133.753 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 133.753 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 133.753 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 133.753 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.753 * [backup-simplify]: Simplify 1/2 into 1/2 133.753 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 133.753 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.753 * [backup-simplify]: Simplify phi1 into phi1 133.753 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.754 * [backup-simplify]: Simplify phi2 into phi2 133.754 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 133.754 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 133.754 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 133.754 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 133.754 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 133.754 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 133.754 * [backup-simplify]: Simplify (- 0) into 0 133.754 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 133.754 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 133.754 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.754 * [backup-simplify]: Simplify phi1 into phi1 133.754 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 133.754 * [taylor]: Taking taylor expansion of 2 in lambda2 133.754 * [backup-simplify]: Simplify 2 into 2 133.754 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 133.754 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.754 * [backup-simplify]: Simplify phi1 into phi1 133.754 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.754 * [backup-simplify]: Simplify phi2 into phi2 133.754 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.754 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.755 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 133.755 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 133.755 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.755 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 133.755 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 133.755 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 133.755 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 133.755 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 133.755 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.755 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 133.756 * [backup-simplify]: Simplify (+ 0 0) into 0 133.756 * [backup-simplify]: Simplify (+ 0 0) into 0 133.756 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 133.756 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 133.757 * [backup-simplify]: Simplify (- 0) into 0 133.757 * [backup-simplify]: Simplify (+ 0 0) into 0 133.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 133.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 133.757 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.757 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.758 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 133.758 * [backup-simplify]: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 133.758 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 133.758 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.758 * [backup-simplify]: Simplify 1/2 into 1/2 133.758 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 133.758 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 133.758 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 133.758 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 133.758 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.758 * [backup-simplify]: Simplify 1/2 into 1/2 133.758 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 133.758 * [taylor]: Taking taylor expansion of phi1 in phi1 133.758 * [backup-simplify]: Simplify 0 into 0 133.758 * [backup-simplify]: Simplify 1 into 1 133.758 * [taylor]: Taking taylor expansion of phi2 in phi1 133.758 * [backup-simplify]: Simplify phi2 into phi2 133.758 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 133.758 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 133.758 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 133.758 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 133.758 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 133.758 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 133.759 * [backup-simplify]: Simplify (- 0) into 0 133.759 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 133.759 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 133.759 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 133.759 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 133.759 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 133.759 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 133.759 * [taylor]: Taking taylor expansion of phi2 in phi1 133.759 * [backup-simplify]: Simplify phi2 into phi2 133.759 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 133.759 * [taylor]: Taking taylor expansion of phi1 in phi1 133.759 * [backup-simplify]: Simplify 0 into 0 133.759 * [backup-simplify]: Simplify 1 into 1 133.759 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 133.759 * [taylor]: Taking taylor expansion of 2 in phi1 133.759 * [backup-simplify]: Simplify 2 into 2 133.759 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 133.759 * [taylor]: Taking taylor expansion of phi1 in phi1 133.759 * [backup-simplify]: Simplify 0 into 0 133.759 * [backup-simplify]: Simplify 1 into 1 133.759 * [taylor]: Taking taylor expansion of phi2 in phi1 133.759 * [backup-simplify]: Simplify phi2 into phi2 133.759 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.759 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 133.759 * [backup-simplify]: Simplify (* 0 phi2) into 0 133.759 * [backup-simplify]: Simplify (* 2 0) into 0 133.760 * [backup-simplify]: Simplify (- 0) into 0 133.760 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 133.760 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.760 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 133.760 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.760 * [backup-simplify]: Simplify (+ 0 0) into 0 133.760 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 133.761 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 133.761 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 133.761 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 133.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 133.761 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 133.761 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 133.761 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 133.761 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 133.761 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 133.761 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.761 * [backup-simplify]: Simplify 1/2 into 1/2 133.761 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 133.761 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 133.761 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 133.761 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 133.762 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.762 * [backup-simplify]: Simplify 1/2 into 1/2 133.762 * [taylor]: Taking taylor expansion of phi2 in phi2 133.762 * [backup-simplify]: Simplify 0 into 0 133.762 * [backup-simplify]: Simplify 1 into 1 133.762 * [backup-simplify]: Simplify (* 1/2 0) into 0 133.762 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 133.762 * [taylor]: Taking taylor expansion of phi2 in phi2 133.762 * [backup-simplify]: Simplify 0 into 0 133.762 * [backup-simplify]: Simplify 1 into 1 133.763 * [backup-simplify]: Simplify (* 1 1) into 1 133.763 * [backup-simplify]: Simplify (/ 1 1) into 1 133.763 * [backup-simplify]: Simplify (+ 0) into 0 133.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 133.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 133.764 * [backup-simplify]: Simplify 0 into 0 133.765 * [backup-simplify]: Simplify (+ 0) into 0 133.765 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 133.765 * [backup-simplify]: Simplify (+ 0 0) into 0 133.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 133.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.766 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 133.767 * [backup-simplify]: Simplify (- 0) into 0 133.767 * [backup-simplify]: Simplify (+ 0 0) into 0 133.767 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 133.767 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.768 * [backup-simplify]: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 133.768 * [backup-simplify]: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 133.768 * [taylor]: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 133.768 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 133.768 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 133.768 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 133.768 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 133.768 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.768 * [backup-simplify]: Simplify 1/2 into 1/2 133.768 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 133.768 * [taylor]: Taking taylor expansion of phi1 in phi1 133.769 * [backup-simplify]: Simplify 0 into 0 133.769 * [backup-simplify]: Simplify 1 into 1 133.769 * [taylor]: Taking taylor expansion of phi2 in phi1 133.769 * [backup-simplify]: Simplify phi2 into phi2 133.769 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 133.769 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 133.769 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 133.769 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 133.769 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 133.769 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 133.769 * [backup-simplify]: Simplify (- 0) into 0 133.769 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 133.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 133.769 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 133.769 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 133.769 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 133.769 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 133.769 * [taylor]: Taking taylor expansion of phi2 in phi1 133.769 * [backup-simplify]: Simplify phi2 into phi2 133.769 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 133.769 * [taylor]: Taking taylor expansion of phi1 in phi1 133.769 * [backup-simplify]: Simplify 0 into 0 133.769 * [backup-simplify]: Simplify 1 into 1 133.769 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 133.769 * [taylor]: Taking taylor expansion of 2 in phi1 133.769 * [backup-simplify]: Simplify 2 into 2 133.769 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 133.769 * [taylor]: Taking taylor expansion of phi1 in phi1 133.769 * [backup-simplify]: Simplify 0 into 0 133.769 * [backup-simplify]: Simplify 1 into 1 133.769 * [taylor]: Taking taylor expansion of phi2 in phi1 133.769 * [backup-simplify]: Simplify phi2 into phi2 133.769 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.770 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 133.770 * [backup-simplify]: Simplify (* 0 phi2) into 0 133.770 * [backup-simplify]: Simplify (* 2 0) into 0 133.770 * [backup-simplify]: Simplify (- 0) into 0 133.770 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 133.770 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.770 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 133.770 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.771 * [backup-simplify]: Simplify (+ 0 0) into 0 133.771 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 133.771 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 133.771 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 133.771 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 133.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 133.771 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 133.772 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 133.772 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 133.772 * [backup-simplify]: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 133.772 * [taylor]: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 133.772 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 133.772 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 133.772 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 133.772 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 133.772 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.772 * [backup-simplify]: Simplify 1/2 into 1/2 133.772 * [taylor]: Taking taylor expansion of phi2 in phi2 133.772 * [backup-simplify]: Simplify 0 into 0 133.772 * [backup-simplify]: Simplify 1 into 1 133.772 * [backup-simplify]: Simplify (* 1/2 0) into 0 133.773 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 133.773 * [taylor]: Taking taylor expansion of phi2 in phi2 133.773 * [backup-simplify]: Simplify 0 into 0 133.773 * [backup-simplify]: Simplify 1 into 1 133.773 * [backup-simplify]: Simplify (* 1 1) into 1 133.773 * [backup-simplify]: Simplify (/ 1 1) into 1 133.773 * [backup-simplify]: Simplify (+ 0) into 0 133.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 133.774 * [backup-simplify]: Simplify (- 0) into 0 133.774 * [backup-simplify]: Simplify 0 into 0 133.775 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 133.775 * [backup-simplify]: Simplify (* 1 1) into 1 133.775 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.775 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.776 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 133.776 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.776 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.776 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 133.777 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 133.777 * [backup-simplify]: Simplify (- 0) into 0 133.777 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 133.778 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 133.778 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 133.778 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.778 * [backup-simplify]: Simplify 1/2 into 1/2 133.778 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 133.778 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 133.778 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 133.778 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 133.778 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.778 * [backup-simplify]: Simplify 1/2 into 1/2 133.778 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 133.778 * [taylor]: Taking taylor expansion of phi1 in phi1 133.778 * [backup-simplify]: Simplify 0 into 0 133.778 * [backup-simplify]: Simplify 1 into 1 133.778 * [taylor]: Taking taylor expansion of phi2 in phi1 133.778 * [backup-simplify]: Simplify phi2 into phi2 133.778 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 133.778 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 133.778 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 133.778 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 133.778 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 133.778 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 133.778 * [backup-simplify]: Simplify (- 0) into 0 133.778 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 133.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 133.778 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 133.778 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 133.779 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 133.779 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 133.779 * [taylor]: Taking taylor expansion of phi2 in phi1 133.779 * [backup-simplify]: Simplify phi2 into phi2 133.779 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 133.779 * [taylor]: Taking taylor expansion of phi1 in phi1 133.779 * [backup-simplify]: Simplify 0 into 0 133.779 * [backup-simplify]: Simplify 1 into 1 133.779 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 133.779 * [taylor]: Taking taylor expansion of 2 in phi1 133.779 * [backup-simplify]: Simplify 2 into 2 133.779 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 133.779 * [taylor]: Taking taylor expansion of phi1 in phi1 133.779 * [backup-simplify]: Simplify 0 into 0 133.779 * [backup-simplify]: Simplify 1 into 1 133.779 * [taylor]: Taking taylor expansion of phi2 in phi1 133.779 * [backup-simplify]: Simplify phi2 into phi2 133.779 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.779 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 133.779 * [backup-simplify]: Simplify (* 0 phi2) into 0 133.779 * [backup-simplify]: Simplify (* 2 0) into 0 133.779 * [backup-simplify]: Simplify (- 0) into 0 133.779 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 133.780 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.780 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 133.780 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.780 * [backup-simplify]: Simplify (+ 0 0) into 0 133.780 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 133.780 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 133.780 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 133.781 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 133.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 133.781 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 133.781 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 133.781 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 133.781 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 133.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 133.781 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.781 * [backup-simplify]: Simplify 1/2 into 1/2 133.781 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 133.781 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 133.781 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 133.781 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 133.781 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.781 * [backup-simplify]: Simplify 1/2 into 1/2 133.781 * [taylor]: Taking taylor expansion of phi2 in phi2 133.781 * [backup-simplify]: Simplify 0 into 0 133.781 * [backup-simplify]: Simplify 1 into 1 133.782 * [backup-simplify]: Simplify (* 1/2 0) into 0 133.782 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 133.782 * [taylor]: Taking taylor expansion of phi2 in phi2 133.782 * [backup-simplify]: Simplify 0 into 0 133.782 * [backup-simplify]: Simplify 1 into 1 133.782 * [backup-simplify]: Simplify (* 1 1) into 1 133.782 * [backup-simplify]: Simplify (/ 1 1) into 1 133.783 * [backup-simplify]: Simplify (+ 0) into 0 133.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 133.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 133.784 * [backup-simplify]: Simplify 0 into 0 133.784 * [taylor]: Taking taylor expansion of 0 in phi2 133.784 * [backup-simplify]: Simplify 0 into 0 133.784 * [backup-simplify]: Simplify 0 into 0 133.784 * [taylor]: Taking taylor expansion of 0 in phi2 133.784 * [backup-simplify]: Simplify 0 into 0 133.784 * [backup-simplify]: Simplify 0 into 0 133.785 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 133.785 * [backup-simplify]: Simplify (* 1 1) into 1 133.785 * [backup-simplify]: Simplify (+ 0 1) into 1 133.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 133.786 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 133.786 * [backup-simplify]: Simplify (- 0) into 0 133.787 * [backup-simplify]: Simplify (+ 1 0) into 1 133.787 * [backup-simplify]: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 133.787 * [taylor]: Taking taylor expansion of 0 in phi2 133.787 * [backup-simplify]: Simplify 0 into 0 133.787 * [backup-simplify]: Simplify 0 into 0 133.788 * [backup-simplify]: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) 133.789 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cbrt (* (* (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) (* (* (cbrt (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (cbrt (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (cbrt (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) 133.789 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 133.789 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 133.789 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 133.789 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 133.789 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 133.790 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 133.790 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 133.790 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 133.790 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.790 * [backup-simplify]: Simplify 1/2 into 1/2 133.790 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 133.790 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 133.790 * [taylor]: Taking taylor expansion of phi1 in phi2 133.790 * [backup-simplify]: Simplify phi1 into phi1 133.790 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.790 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 133.790 * [taylor]: Taking taylor expansion of phi2 in phi2 133.790 * [backup-simplify]: Simplify 0 into 0 133.790 * [backup-simplify]: Simplify 1 into 1 133.790 * [backup-simplify]: Simplify (/ 1 1) into 1 133.791 * [backup-simplify]: Simplify (+ 0 1) into 1 133.791 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.792 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.792 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 133.792 * [taylor]: Taking taylor expansion of lambda2 in phi2 133.792 * [backup-simplify]: Simplify lambda2 into lambda2 133.792 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.792 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 133.792 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 133.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 133.792 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 133.792 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 133.792 * [taylor]: Taking taylor expansion of phi1 in phi2 133.792 * [backup-simplify]: Simplify phi1 into phi1 133.792 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.792 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 133.793 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 133.793 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 133.793 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 133.793 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 133.793 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 133.793 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.793 * [backup-simplify]: Simplify 1/2 into 1/2 133.793 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 133.793 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 133.793 * [taylor]: Taking taylor expansion of phi1 in phi2 133.793 * [backup-simplify]: Simplify phi1 into phi1 133.793 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.793 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 133.793 * [taylor]: Taking taylor expansion of phi2 in phi2 133.793 * [backup-simplify]: Simplify 0 into 0 133.793 * [backup-simplify]: Simplify 1 into 1 133.793 * [backup-simplify]: Simplify (/ 1 1) into 1 133.794 * [backup-simplify]: Simplify (+ 0 1) into 1 133.794 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.794 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.794 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 133.794 * [taylor]: Taking taylor expansion of lambda1 in phi2 133.794 * [backup-simplify]: Simplify lambda1 into lambda1 133.795 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.795 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 133.795 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 133.795 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 133.795 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 133.795 * [taylor]: Taking taylor expansion of phi2 in phi2 133.795 * [backup-simplify]: Simplify 0 into 0 133.795 * [backup-simplify]: Simplify 1 into 1 133.795 * [backup-simplify]: Simplify (* 1 1) into 1 133.796 * [backup-simplify]: Simplify (/ 1 1) into 1 133.796 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 133.796 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 133.796 * [taylor]: Taking taylor expansion of 2 in phi2 133.796 * [backup-simplify]: Simplify 2 into 2 133.796 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 133.796 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 133.796 * [taylor]: Taking taylor expansion of phi1 in phi2 133.796 * [backup-simplify]: Simplify phi1 into phi1 133.796 * [taylor]: Taking taylor expansion of phi2 in phi2 133.796 * [backup-simplify]: Simplify 0 into 0 133.796 * [backup-simplify]: Simplify 1 into 1 133.796 * [backup-simplify]: Simplify (* phi1 0) into 0 133.797 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 133.797 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.797 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 133.797 * [taylor]: Taking taylor expansion of 2 in phi2 133.797 * [backup-simplify]: Simplify 2 into 2 133.797 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 133.797 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 133.797 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 133.797 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 133.797 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.797 * [backup-simplify]: Simplify 1/2 into 1/2 133.797 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 133.797 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 133.797 * [taylor]: Taking taylor expansion of phi1 in phi2 133.797 * [backup-simplify]: Simplify phi1 into phi1 133.797 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.797 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 133.797 * [taylor]: Taking taylor expansion of phi2 in phi2 133.797 * [backup-simplify]: Simplify 0 into 0 133.797 * [backup-simplify]: Simplify 1 into 1 133.797 * [backup-simplify]: Simplify (/ 1 1) into 1 133.798 * [backup-simplify]: Simplify (+ 0 1) into 1 133.798 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.799 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.799 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 133.799 * [taylor]: Taking taylor expansion of lambda2 in phi2 133.799 * [backup-simplify]: Simplify lambda2 into lambda2 133.799 * [taylor]: Taking taylor expansion of lambda1 in phi2 133.799 * [backup-simplify]: Simplify lambda1 into lambda1 133.799 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.799 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 133.799 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 133.800 * [backup-simplify]: Simplify (+ 0 1) into 1 133.800 * [backup-simplify]: Simplify (+ 0 1) into 1 133.801 * [backup-simplify]: Simplify (+ 0 1) into 1 133.801 * [backup-simplify]: Simplify (+ 1 0) into 1 133.802 * [backup-simplify]: Simplify (sqrt 1) into 1 133.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 133.804 * [backup-simplify]: Simplify (+ 0 0) into 0 133.804 * [backup-simplify]: Simplify (+ 0 0) into 0 133.804 * [backup-simplify]: Simplify (+ 0 0) into 0 133.804 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 133.805 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 133.805 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 133.805 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 133.805 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 133.805 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 133.805 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 133.805 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 133.806 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 133.806 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 133.806 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 133.806 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 133.806 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.806 * [backup-simplify]: Simplify 1/2 into 1/2 133.806 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 133.806 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 133.806 * [taylor]: Taking taylor expansion of phi1 in phi1 133.806 * [backup-simplify]: Simplify 0 into 0 133.806 * [backup-simplify]: Simplify 1 into 1 133.806 * [backup-simplify]: Simplify (/ 1 1) into 1 133.806 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 133.806 * [taylor]: Taking taylor expansion of phi2 in phi1 133.806 * [backup-simplify]: Simplify phi2 into phi2 133.806 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.807 * [backup-simplify]: Simplify (+ 1 0) into 1 133.807 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.807 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.807 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 133.807 * [taylor]: Taking taylor expansion of lambda2 in phi1 133.807 * [backup-simplify]: Simplify lambda2 into lambda2 133.808 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.808 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 133.808 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 133.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 133.808 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 133.808 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 133.808 * [taylor]: Taking taylor expansion of phi1 in phi1 133.808 * [backup-simplify]: Simplify 0 into 0 133.808 * [backup-simplify]: Simplify 1 into 1 133.809 * [backup-simplify]: Simplify (* 1 1) into 1 133.809 * [backup-simplify]: Simplify (/ 1 1) into 1 133.809 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 133.809 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 133.809 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 133.809 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 133.809 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 133.809 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.809 * [backup-simplify]: Simplify 1/2 into 1/2 133.809 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 133.809 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 133.809 * [taylor]: Taking taylor expansion of phi1 in phi1 133.809 * [backup-simplify]: Simplify 0 into 0 133.809 * [backup-simplify]: Simplify 1 into 1 133.810 * [backup-simplify]: Simplify (/ 1 1) into 1 133.810 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 133.810 * [taylor]: Taking taylor expansion of phi2 in phi1 133.810 * [backup-simplify]: Simplify phi2 into phi2 133.810 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.810 * [backup-simplify]: Simplify (+ 1 0) into 1 133.811 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.811 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.811 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 133.811 * [taylor]: Taking taylor expansion of lambda1 in phi1 133.811 * [backup-simplify]: Simplify lambda1 into lambda1 133.811 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.811 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 133.812 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 133.812 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 133.812 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 133.812 * [taylor]: Taking taylor expansion of phi2 in phi1 133.812 * [backup-simplify]: Simplify phi2 into phi2 133.812 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.812 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.812 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 133.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 133.812 * [taylor]: Taking taylor expansion of 2 in phi1 133.812 * [backup-simplify]: Simplify 2 into 2 133.812 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 133.812 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 133.812 * [taylor]: Taking taylor expansion of phi1 in phi1 133.812 * [backup-simplify]: Simplify 0 into 0 133.812 * [backup-simplify]: Simplify 1 into 1 133.812 * [taylor]: Taking taylor expansion of phi2 in phi1 133.812 * [backup-simplify]: Simplify phi2 into phi2 133.812 * [backup-simplify]: Simplify (* 0 phi2) into 0 133.813 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 133.813 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.813 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 133.813 * [taylor]: Taking taylor expansion of 2 in phi1 133.813 * [backup-simplify]: Simplify 2 into 2 133.813 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 133.813 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 133.813 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 133.813 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 133.813 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.813 * [backup-simplify]: Simplify 1/2 into 1/2 133.813 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 133.813 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 133.813 * [taylor]: Taking taylor expansion of phi1 in phi1 133.813 * [backup-simplify]: Simplify 0 into 0 133.813 * [backup-simplify]: Simplify 1 into 1 133.813 * [backup-simplify]: Simplify (/ 1 1) into 1 133.813 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 133.814 * [taylor]: Taking taylor expansion of phi2 in phi1 133.814 * [backup-simplify]: Simplify phi2 into phi2 133.814 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.814 * [backup-simplify]: Simplify (+ 1 0) into 1 133.814 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.815 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.815 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 133.815 * [taylor]: Taking taylor expansion of lambda2 in phi1 133.815 * [backup-simplify]: Simplify lambda2 into lambda2 133.815 * [taylor]: Taking taylor expansion of lambda1 in phi1 133.815 * [backup-simplify]: Simplify lambda1 into lambda1 133.815 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.815 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 133.815 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 133.816 * [backup-simplify]: Simplify (+ 1 0) into 1 133.816 * [backup-simplify]: Simplify (+ 0 1) into 1 133.817 * [backup-simplify]: Simplify (+ 1 0) into 1 133.817 * [backup-simplify]: Simplify (sqrt 1) into 1 133.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 133.819 * [backup-simplify]: Simplify (+ 0 0) into 0 133.819 * [backup-simplify]: Simplify (+ 0 0) into 0 133.819 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 133.819 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 133.819 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 133.819 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 133.820 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 133.820 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 133.820 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 133.820 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 133.820 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 133.820 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 133.820 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 133.820 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 133.820 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.820 * [backup-simplify]: Simplify 1/2 into 1/2 133.820 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 133.821 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 133.821 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.821 * [backup-simplify]: Simplify phi1 into phi1 133.821 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.821 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 133.821 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.821 * [backup-simplify]: Simplify phi2 into phi2 133.821 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.821 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.821 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.821 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.821 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.821 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.822 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.822 * [backup-simplify]: Simplify (- 0) into 0 133.822 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.822 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 133.822 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.822 * [backup-simplify]: Simplify 0 into 0 133.822 * [backup-simplify]: Simplify 1 into 1 133.822 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.823 * [backup-simplify]: Simplify (* 1 1) into 1 133.823 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 133.823 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 133.823 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 133.823 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.823 * [backup-simplify]: Simplify phi1 into phi1 133.823 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.823 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 133.823 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 133.823 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 133.823 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 133.824 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 133.824 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 133.824 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.824 * [backup-simplify]: Simplify 1/2 into 1/2 133.824 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 133.824 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 133.824 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.824 * [backup-simplify]: Simplify phi1 into phi1 133.824 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.824 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 133.824 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.824 * [backup-simplify]: Simplify phi2 into phi2 133.824 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.824 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.824 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.824 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.824 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.825 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.825 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.830 * [backup-simplify]: Simplify (- 0) into 0 133.830 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.830 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 133.830 * [taylor]: Taking taylor expansion of lambda1 in lambda2 133.830 * [backup-simplify]: Simplify lambda1 into lambda1 133.830 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.830 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 133.831 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 133.831 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 133.831 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 133.831 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.831 * [backup-simplify]: Simplify phi2 into phi2 133.831 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.831 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.831 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 133.831 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 133.831 * [taylor]: Taking taylor expansion of 2 in lambda2 133.831 * [backup-simplify]: Simplify 2 into 2 133.831 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 133.831 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 133.831 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.831 * [backup-simplify]: Simplify phi1 into phi1 133.831 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.831 * [backup-simplify]: Simplify phi2 into phi2 133.831 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.831 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 133.831 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 133.831 * [taylor]: Taking taylor expansion of 2 in lambda2 133.831 * [backup-simplify]: Simplify 2 into 2 133.831 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 133.831 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 133.831 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 133.831 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 133.832 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.832 * [backup-simplify]: Simplify 1/2 into 1/2 133.832 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 133.832 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 133.832 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.832 * [backup-simplify]: Simplify phi1 into phi1 133.832 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.832 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 133.832 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.832 * [backup-simplify]: Simplify phi2 into phi2 133.832 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.832 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.832 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.832 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.832 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.832 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.833 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.833 * [backup-simplify]: Simplify (- 0) into 0 133.833 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.833 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 133.833 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.834 * [backup-simplify]: Simplify 0 into 0 133.834 * [backup-simplify]: Simplify 1 into 1 133.834 * [taylor]: Taking taylor expansion of lambda1 in lambda2 133.834 * [backup-simplify]: Simplify lambda1 into lambda1 133.834 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.834 * [backup-simplify]: Simplify (* 0 lambda1) into 0 133.834 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 133.835 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 133.835 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.835 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.835 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.836 * [backup-simplify]: Simplify (+ 0) into 0 133.836 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 133.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 133.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 133.837 * [backup-simplify]: Simplify (+ 0 0) into 0 133.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 133.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.839 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 133.839 * [backup-simplify]: Simplify (- 0) into 0 133.840 * [backup-simplify]: Simplify (+ 0 0) into 0 133.840 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 133.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 133.842 * [backup-simplify]: Simplify (+ 0 0) into 0 133.843 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 133.843 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 133.843 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 133.844 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 133.844 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 133.844 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 133.844 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 133.844 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 133.844 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 133.845 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 133.845 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 133.845 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 133.845 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.845 * [backup-simplify]: Simplify 1/2 into 1/2 133.845 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 133.845 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 133.845 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.845 * [backup-simplify]: Simplify phi1 into phi1 133.845 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.845 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 133.845 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.845 * [backup-simplify]: Simplify phi2 into phi2 133.845 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.845 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.845 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.845 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.845 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.846 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.846 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.846 * [backup-simplify]: Simplify (- 0) into 0 133.846 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.846 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 133.846 * [taylor]: Taking taylor expansion of lambda2 in lambda1 133.846 * [backup-simplify]: Simplify lambda2 into lambda2 133.847 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.847 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 133.847 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 133.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 133.847 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 133.847 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 133.847 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.847 * [backup-simplify]: Simplify phi1 into phi1 133.847 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.847 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 133.847 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 133.847 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 133.847 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 133.847 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 133.848 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 133.848 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.848 * [backup-simplify]: Simplify 1/2 into 1/2 133.848 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 133.848 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 133.848 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.848 * [backup-simplify]: Simplify phi1 into phi1 133.848 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.848 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 133.848 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.848 * [backup-simplify]: Simplify phi2 into phi2 133.848 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.848 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.848 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.848 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.848 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.849 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.849 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.849 * [backup-simplify]: Simplify (- 0) into 0 133.849 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.849 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 133.849 * [taylor]: Taking taylor expansion of lambda1 in lambda1 133.849 * [backup-simplify]: Simplify 0 into 0 133.850 * [backup-simplify]: Simplify 1 into 1 133.850 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.850 * [backup-simplify]: Simplify (* 1 1) into 1 133.850 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.850 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 133.851 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 133.851 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.851 * [backup-simplify]: Simplify phi2 into phi2 133.851 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.851 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.851 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 133.851 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 133.851 * [taylor]: Taking taylor expansion of 2 in lambda1 133.851 * [backup-simplify]: Simplify 2 into 2 133.851 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 133.851 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 133.851 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.851 * [backup-simplify]: Simplify phi1 into phi1 133.851 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.851 * [backup-simplify]: Simplify phi2 into phi2 133.851 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.851 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 133.851 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 133.851 * [taylor]: Taking taylor expansion of 2 in lambda1 133.851 * [backup-simplify]: Simplify 2 into 2 133.851 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 133.851 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 133.851 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 133.851 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 133.851 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.851 * [backup-simplify]: Simplify 1/2 into 1/2 133.851 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 133.852 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 133.852 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.852 * [backup-simplify]: Simplify phi1 into phi1 133.852 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.852 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 133.852 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.852 * [backup-simplify]: Simplify phi2 into phi2 133.852 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.852 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.852 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.852 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.852 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.852 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.853 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.853 * [backup-simplify]: Simplify (- 0) into 0 133.853 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.853 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 133.853 * [taylor]: Taking taylor expansion of lambda2 in lambda1 133.853 * [backup-simplify]: Simplify lambda2 into lambda2 133.853 * [taylor]: Taking taylor expansion of lambda1 in lambda1 133.853 * [backup-simplify]: Simplify 0 into 0 133.853 * [backup-simplify]: Simplify 1 into 1 133.854 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.854 * [backup-simplify]: Simplify (* lambda2 0) into 0 133.854 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 133.854 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 133.855 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.855 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.855 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.855 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.855 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.856 * [backup-simplify]: Simplify (+ 0) into 0 133.857 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 133.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 133.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 133.857 * [backup-simplify]: Simplify (+ 0 0) into 0 133.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 133.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.859 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 133.860 * [backup-simplify]: Simplify (- 0) into 0 133.860 * [backup-simplify]: Simplify (+ 0 0) into 0 133.860 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 133.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 133.862 * [backup-simplify]: Simplify (+ 0 0) into 0 133.863 * [backup-simplify]: Simplify (+ 0 0) into 0 133.863 * [backup-simplify]: Simplify (+ 0 0) into 0 133.863 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 133.864 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 133.864 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 133.864 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 133.865 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 133.865 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 133.865 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 133.865 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 133.865 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 133.865 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 133.865 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 133.865 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 133.865 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.865 * [backup-simplify]: Simplify 1/2 into 1/2 133.865 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 133.865 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 133.865 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.865 * [backup-simplify]: Simplify phi1 into phi1 133.865 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.865 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 133.865 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.865 * [backup-simplify]: Simplify phi2 into phi2 133.865 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.865 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.865 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.865 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.865 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.865 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.865 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.866 * [backup-simplify]: Simplify (- 0) into 0 133.866 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.866 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 133.866 * [taylor]: Taking taylor expansion of lambda2 in lambda1 133.866 * [backup-simplify]: Simplify lambda2 into lambda2 133.866 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.866 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 133.866 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 133.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 133.866 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 133.866 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 133.866 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.866 * [backup-simplify]: Simplify phi1 into phi1 133.866 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.866 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 133.866 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 133.866 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 133.866 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 133.866 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 133.866 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 133.866 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.866 * [backup-simplify]: Simplify 1/2 into 1/2 133.866 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 133.867 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 133.867 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.867 * [backup-simplify]: Simplify phi1 into phi1 133.867 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.867 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 133.867 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.867 * [backup-simplify]: Simplify phi2 into phi2 133.867 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.867 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.867 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.867 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.867 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.867 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.867 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.867 * [backup-simplify]: Simplify (- 0) into 0 133.867 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.867 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 133.867 * [taylor]: Taking taylor expansion of lambda1 in lambda1 133.868 * [backup-simplify]: Simplify 0 into 0 133.868 * [backup-simplify]: Simplify 1 into 1 133.868 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.868 * [backup-simplify]: Simplify (* 1 1) into 1 133.868 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.868 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 133.868 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 133.868 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.868 * [backup-simplify]: Simplify phi2 into phi2 133.868 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.868 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.868 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 133.868 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 133.868 * [taylor]: Taking taylor expansion of 2 in lambda1 133.868 * [backup-simplify]: Simplify 2 into 2 133.868 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 133.868 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 133.868 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.868 * [backup-simplify]: Simplify phi1 into phi1 133.868 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.868 * [backup-simplify]: Simplify phi2 into phi2 133.868 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.868 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 133.868 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 133.868 * [taylor]: Taking taylor expansion of 2 in lambda1 133.869 * [backup-simplify]: Simplify 2 into 2 133.869 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 133.869 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 133.869 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 133.869 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 133.869 * [taylor]: Taking taylor expansion of 1/2 in lambda1 133.869 * [backup-simplify]: Simplify 1/2 into 1/2 133.869 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 133.869 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 133.869 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.869 * [backup-simplify]: Simplify phi1 into phi1 133.869 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.869 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 133.869 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.869 * [backup-simplify]: Simplify phi2 into phi2 133.869 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.869 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.869 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.869 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.869 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.869 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.869 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.869 * [backup-simplify]: Simplify (- 0) into 0 133.870 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.870 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 133.870 * [taylor]: Taking taylor expansion of lambda2 in lambda1 133.870 * [backup-simplify]: Simplify lambda2 into lambda2 133.870 * [taylor]: Taking taylor expansion of lambda1 in lambda1 133.870 * [backup-simplify]: Simplify 0 into 0 133.870 * [backup-simplify]: Simplify 1 into 1 133.870 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.870 * [backup-simplify]: Simplify (* lambda2 0) into 0 133.870 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 133.870 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 133.870 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.870 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.871 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.871 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.871 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.871 * [backup-simplify]: Simplify (+ 0) into 0 133.871 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 133.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 133.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 133.872 * [backup-simplify]: Simplify (+ 0 0) into 0 133.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 133.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.873 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 133.873 * [backup-simplify]: Simplify (- 0) into 0 133.873 * [backup-simplify]: Simplify (+ 0 0) into 0 133.874 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 133.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 133.875 * [backup-simplify]: Simplify (+ 0 0) into 0 133.875 * [backup-simplify]: Simplify (+ 0 0) into 0 133.875 * [backup-simplify]: Simplify (+ 0 0) into 0 133.876 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 133.876 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 133.876 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 133.876 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 133.876 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 133.877 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 133.877 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 133.877 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.877 * [backup-simplify]: Simplify 1/2 into 1/2 133.877 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 133.877 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 133.877 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.877 * [backup-simplify]: Simplify phi1 into phi1 133.877 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.877 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 133.877 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.877 * [backup-simplify]: Simplify phi2 into phi2 133.877 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.877 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.877 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.877 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.877 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.877 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 133.877 * [taylor]: Taking taylor expansion of -1 in lambda2 133.877 * [backup-simplify]: Simplify -1 into -1 133.877 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 133.877 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 133.877 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 133.877 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.877 * [backup-simplify]: Simplify 1/2 into 1/2 133.877 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 133.877 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 133.877 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.877 * [backup-simplify]: Simplify phi1 into phi1 133.877 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.877 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 133.877 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.877 * [backup-simplify]: Simplify phi2 into phi2 133.877 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.877 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.877 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.878 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.878 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.878 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.878 * [backup-simplify]: Simplify 0 into 0 133.878 * [backup-simplify]: Simplify 1 into 1 133.878 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.878 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.878 * [backup-simplify]: Simplify (- 0) into 0 133.878 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.878 * [backup-simplify]: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.878 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 133.878 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 133.878 * [taylor]: Taking taylor expansion of -1 in phi1 133.878 * [backup-simplify]: Simplify -1 into -1 133.878 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 133.878 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 133.879 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.879 * [backup-simplify]: Simplify 1/2 into 1/2 133.879 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 133.879 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 133.879 * [taylor]: Taking taylor expansion of phi1 in phi1 133.879 * [backup-simplify]: Simplify 0 into 0 133.879 * [backup-simplify]: Simplify 1 into 1 133.879 * [backup-simplify]: Simplify (/ 1 1) into 1 133.879 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 133.879 * [taylor]: Taking taylor expansion of phi2 in phi1 133.879 * [backup-simplify]: Simplify phi2 into phi2 133.879 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.879 * [backup-simplify]: Simplify (+ 1 0) into 1 133.879 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.880 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.880 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.880 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.880 * [backup-simplify]: Simplify (- 0) into 0 133.880 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.880 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 133.880 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 133.880 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.880 * [backup-simplify]: Simplify 1/2 into 1/2 133.880 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 133.880 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 133.880 * [taylor]: Taking taylor expansion of phi1 in phi1 133.880 * [backup-simplify]: Simplify 0 into 0 133.880 * [backup-simplify]: Simplify 1 into 1 133.881 * [backup-simplify]: Simplify (/ 1 1) into 1 133.881 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 133.881 * [taylor]: Taking taylor expansion of phi2 in phi1 133.881 * [backup-simplify]: Simplify phi2 into phi2 133.881 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.881 * [backup-simplify]: Simplify (+ 1 0) into 1 133.881 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.881 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 133.882 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 133.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 133.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 133.883 * [backup-simplify]: Simplify (+ 0 0) into 0 133.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 133.884 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 133.884 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 133.885 * [backup-simplify]: Simplify (- 0) into 0 133.885 * [backup-simplify]: Simplify (+ 0 0) into 0 133.885 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 133.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 133.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 133.887 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 133.887 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 133.887 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 133.887 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 133.887 * [backup-simplify]: Simplify (+ 0) into 0 133.888 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 133.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 133.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 133.888 * [backup-simplify]: Simplify (+ 0 0) into 0 133.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 133.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.889 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 133.890 * [backup-simplify]: Simplify (- 0) into 0 133.890 * [backup-simplify]: Simplify (+ 0 0) into 0 133.890 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 133.890 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 133.891 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 133.891 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 133.891 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 133.891 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 133.892 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 133.892 * [backup-simplify]: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 133.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 133.892 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.892 * [backup-simplify]: Simplify 1/2 into 1/2 133.892 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 133.893 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 133.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 133.893 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 133.893 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 133.893 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.893 * [backup-simplify]: Simplify phi2 into phi2 133.893 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.893 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.893 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 133.893 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 133.893 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.893 * [backup-simplify]: Simplify phi1 into phi1 133.893 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.893 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 133.893 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 133.893 * [taylor]: Taking taylor expansion of 2 in lambda2 133.893 * [backup-simplify]: Simplify 2 into 2 133.893 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 133.893 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 133.893 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.893 * [backup-simplify]: Simplify phi1 into phi1 133.893 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.893 * [backup-simplify]: Simplify phi2 into phi2 133.893 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.893 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 133.893 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 133.893 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 133.893 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.893 * [backup-simplify]: Simplify 1/2 into 1/2 133.893 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 133.893 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 133.893 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.893 * [backup-simplify]: Simplify phi1 into phi1 133.893 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.893 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 133.893 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.893 * [backup-simplify]: Simplify phi2 into phi2 133.893 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.893 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.893 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.893 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.894 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.894 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 133.894 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 133.894 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 133.894 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 133.894 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.894 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.894 * [backup-simplify]: Simplify (- 0) into 0 133.894 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.895 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 133.895 * [backup-simplify]: Simplify (+ 0) into 0 133.895 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 133.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 133.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 133.896 * [backup-simplify]: Simplify (+ 0 0) into 0 133.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 133.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.897 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 133.897 * [backup-simplify]: Simplify (- 0) into 0 133.897 * [backup-simplify]: Simplify (+ 0 0) into 0 133.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 133.898 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 133.898 * [taylor]: Taking taylor expansion of 0 in phi1 133.898 * [backup-simplify]: Simplify 0 into 0 133.899 * [backup-simplify]: Simplify (+ 0) into 0 133.899 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 133.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 133.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 133.899 * [backup-simplify]: Simplify (+ 0 0) into 0 133.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 133.900 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.900 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 133.901 * [backup-simplify]: Simplify (- 0) into 0 133.901 * [backup-simplify]: Simplify (+ 0 0) into 0 133.901 * [taylor]: Taking taylor expansion of 0 in phi1 133.901 * [backup-simplify]: Simplify 0 into 0 133.901 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 133.901 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 133.901 * [taylor]: Taking taylor expansion of -1 in phi2 133.901 * [backup-simplify]: Simplify -1 into -1 133.901 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 133.901 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 133.901 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.901 * [backup-simplify]: Simplify 1/2 into 1/2 133.901 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 133.901 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 133.901 * [taylor]: Taking taylor expansion of phi1 in phi2 133.901 * [backup-simplify]: Simplify phi1 into phi1 133.901 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.901 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 133.901 * [taylor]: Taking taylor expansion of phi2 in phi2 133.901 * [backup-simplify]: Simplify 0 into 0 133.901 * [backup-simplify]: Simplify 1 into 1 133.902 * [backup-simplify]: Simplify (/ 1 1) into 1 133.902 * [backup-simplify]: Simplify (+ 0 1) into 1 133.902 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.902 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.902 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 133.902 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 133.902 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.902 * [backup-simplify]: Simplify 1/2 into 1/2 133.903 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 133.903 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 133.903 * [taylor]: Taking taylor expansion of phi1 in phi2 133.903 * [backup-simplify]: Simplify phi1 into phi1 133.903 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.903 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 133.903 * [taylor]: Taking taylor expansion of phi2 in phi2 133.903 * [backup-simplify]: Simplify 0 into 0 133.903 * [backup-simplify]: Simplify 1 into 1 133.903 * [backup-simplify]: Simplify (/ 1 1) into 1 133.903 * [backup-simplify]: Simplify (+ 0 1) into 1 133.903 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.904 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.904 * [backup-simplify]: Simplify (+ 0) into 0 133.904 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 133.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 133.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 133.905 * [backup-simplify]: Simplify (+ 0 0) into 0 133.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 133.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.906 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 133.906 * [backup-simplify]: Simplify (- 0) into 0 133.906 * [backup-simplify]: Simplify (+ 0 0) into 0 133.906 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 133.906 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 133.907 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 133.907 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 133.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 133.907 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 133.908 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 133.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 133.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 133.908 * [backup-simplify]: Simplify (+ 0 0) into 0 133.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 133.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 133.911 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 133.911 * [backup-simplify]: Simplify (- 0) into 0 133.911 * [backup-simplify]: Simplify (+ 0 0) into 0 133.912 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 133.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 133.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 133.915 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 133.915 * [backup-simplify]: Simplify (+ 0 0) into 0 133.916 * [backup-simplify]: Simplify (+ 0 0) into 0 133.916 * [backup-simplify]: Simplify (+ 0 0) into 0 133.916 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 133.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 133.917 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 133.918 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 133.918 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 133.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 133.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 133.919 * [backup-simplify]: Simplify (+ 0 0) into 0 133.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 133.921 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 133.921 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 133.922 * [backup-simplify]: Simplify (- 0) into 0 133.922 * [backup-simplify]: Simplify (+ 0 0) into 0 133.923 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 133.924 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 133.924 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 133.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 133.925 * [backup-simplify]: Simplify (+ 0 0) into 0 133.925 * [backup-simplify]: Simplify (- 0) into 0 133.925 * [backup-simplify]: Simplify (+ 0 0) into 0 133.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 133.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 133.926 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.926 * [backup-simplify]: Simplify 1/2 into 1/2 133.926 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 133.926 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 133.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 133.926 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 133.926 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 133.926 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.926 * [backup-simplify]: Simplify 0 into 0 133.926 * [backup-simplify]: Simplify 1 into 1 133.926 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 133.926 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.926 * [backup-simplify]: Simplify phi2 into phi2 133.926 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.926 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 133.926 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 133.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 133.927 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.927 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 133.927 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 133.927 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.927 * [backup-simplify]: Simplify 0 into 0 133.927 * [backup-simplify]: Simplify 1 into 1 133.927 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 133.927 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.927 * [backup-simplify]: Simplify phi1 into phi1 133.927 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.927 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 133.927 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 133.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 133.927 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 133.927 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 133.927 * [taylor]: Taking taylor expansion of 2 in lambda2 133.927 * [backup-simplify]: Simplify 2 into 2 133.927 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 133.927 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 133.927 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.927 * [backup-simplify]: Simplify 0 into 0 133.927 * [backup-simplify]: Simplify 1 into 1 133.927 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 133.927 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.927 * [backup-simplify]: Simplify phi1 into phi1 133.927 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.927 * [backup-simplify]: Simplify phi2 into phi2 133.928 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.928 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 133.928 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 133.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 133.928 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 133.928 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 133.928 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 133.928 * [taylor]: Taking taylor expansion of 1/2 in lambda2 133.928 * [backup-simplify]: Simplify 1/2 into 1/2 133.928 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 133.928 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 133.928 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.928 * [backup-simplify]: Simplify phi1 into phi1 133.928 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.928 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 133.928 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.928 * [backup-simplify]: Simplify phi2 into phi2 133.928 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.928 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.928 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.928 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.928 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.929 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 133.929 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 133.929 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 133.929 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 133.929 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.929 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.929 * [backup-simplify]: Simplify (- 0) into 0 133.929 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.930 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 133.930 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 133.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 133.930 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.930 * [backup-simplify]: Simplify 1/2 into 1/2 133.930 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 133.930 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 133.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 133.930 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 133.930 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 133.930 * [taylor]: Taking taylor expansion of phi2 in phi1 133.930 * [backup-simplify]: Simplify phi2 into phi2 133.930 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.930 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.930 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 133.930 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 133.930 * [taylor]: Taking taylor expansion of phi1 in phi1 133.930 * [backup-simplify]: Simplify 0 into 0 133.930 * [backup-simplify]: Simplify 1 into 1 133.930 * [backup-simplify]: Simplify (* 1 1) into 1 133.931 * [backup-simplify]: Simplify (/ 1 1) into 1 133.931 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 133.931 * [taylor]: Taking taylor expansion of 2 in phi1 133.931 * [backup-simplify]: Simplify 2 into 2 133.931 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 133.931 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 133.931 * [taylor]: Taking taylor expansion of phi1 in phi1 133.931 * [backup-simplify]: Simplify 0 into 0 133.931 * [backup-simplify]: Simplify 1 into 1 133.931 * [taylor]: Taking taylor expansion of phi2 in phi1 133.931 * [backup-simplify]: Simplify phi2 into phi2 133.931 * [backup-simplify]: Simplify (* 0 phi2) into 0 133.931 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 133.931 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.931 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 133.931 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 133.931 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.931 * [backup-simplify]: Simplify 1/2 into 1/2 133.931 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 133.931 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 133.931 * [taylor]: Taking taylor expansion of phi1 in phi1 133.931 * [backup-simplify]: Simplify 0 into 0 133.932 * [backup-simplify]: Simplify 1 into 1 133.932 * [backup-simplify]: Simplify (/ 1 1) into 1 133.932 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 133.932 * [taylor]: Taking taylor expansion of phi2 in phi1 133.932 * [backup-simplify]: Simplify phi2 into phi2 133.932 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.932 * [backup-simplify]: Simplify (+ 1 0) into 1 133.932 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.933 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.933 * [backup-simplify]: Simplify (+ 0 1) into 1 133.933 * [backup-simplify]: Simplify (+ 1 0) into 1 133.933 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 133.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 133.934 * [backup-simplify]: Simplify (+ 0 0) into 0 133.934 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 133.934 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 133.934 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 133.935 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 133.935 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 133.935 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 133.935 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 133.935 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 133.935 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 133.935 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 133.935 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.935 * [backup-simplify]: Simplify 1/2 into 1/2 133.935 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 133.935 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 133.935 * [taylor]: Taking taylor expansion of phi1 in phi2 133.935 * [backup-simplify]: Simplify phi1 into phi1 133.935 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.935 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 133.935 * [taylor]: Taking taylor expansion of phi2 in phi2 133.935 * [backup-simplify]: Simplify 0 into 0 133.935 * [backup-simplify]: Simplify 1 into 1 133.935 * [backup-simplify]: Simplify (/ 1 1) into 1 133.936 * [backup-simplify]: Simplify (+ 0 1) into 1 133.939 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.939 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.939 * [taylor]: Taking taylor expansion of phi2 in phi2 133.939 * [backup-simplify]: Simplify 0 into 0 133.939 * [backup-simplify]: Simplify 1 into 1 133.940 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.940 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.940 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 133.940 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 133.940 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 133.941 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 133.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 133.941 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.941 * [backup-simplify]: Simplify 1/2 into 1/2 133.941 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 133.941 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 133.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 133.941 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 133.941 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 133.941 * [taylor]: Taking taylor expansion of phi2 in phi1 133.941 * [backup-simplify]: Simplify phi2 into phi2 133.941 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.941 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.941 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 133.941 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 133.941 * [taylor]: Taking taylor expansion of phi1 in phi1 133.941 * [backup-simplify]: Simplify 0 into 0 133.941 * [backup-simplify]: Simplify 1 into 1 133.941 * [backup-simplify]: Simplify (* 1 1) into 1 133.942 * [backup-simplify]: Simplify (/ 1 1) into 1 133.942 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 133.942 * [taylor]: Taking taylor expansion of 2 in phi1 133.942 * [backup-simplify]: Simplify 2 into 2 133.942 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 133.942 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 133.942 * [taylor]: Taking taylor expansion of phi1 in phi1 133.942 * [backup-simplify]: Simplify 0 into 0 133.942 * [backup-simplify]: Simplify 1 into 1 133.942 * [taylor]: Taking taylor expansion of phi2 in phi1 133.942 * [backup-simplify]: Simplify phi2 into phi2 133.942 * [backup-simplify]: Simplify (* 0 phi2) into 0 133.942 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 133.942 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.942 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 133.942 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 133.942 * [taylor]: Taking taylor expansion of 1/2 in phi1 133.942 * [backup-simplify]: Simplify 1/2 into 1/2 133.942 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 133.942 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 133.942 * [taylor]: Taking taylor expansion of phi1 in phi1 133.942 * [backup-simplify]: Simplify 0 into 0 133.942 * [backup-simplify]: Simplify 1 into 1 133.942 * [backup-simplify]: Simplify (/ 1 1) into 1 133.942 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 133.942 * [taylor]: Taking taylor expansion of phi2 in phi1 133.942 * [backup-simplify]: Simplify phi2 into phi2 133.943 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.943 * [backup-simplify]: Simplify (+ 1 0) into 1 133.943 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.943 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.943 * [backup-simplify]: Simplify (+ 0 1) into 1 133.944 * [backup-simplify]: Simplify (+ 1 0) into 1 133.944 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 133.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 133.945 * [backup-simplify]: Simplify (+ 0 0) into 0 133.945 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 133.945 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 133.945 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 133.945 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 133.946 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 133.946 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 133.946 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 133.946 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 133.946 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 133.946 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 133.946 * [taylor]: Taking taylor expansion of 1/2 in phi2 133.946 * [backup-simplify]: Simplify 1/2 into 1/2 133.946 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 133.946 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 133.946 * [taylor]: Taking taylor expansion of phi1 in phi2 133.946 * [backup-simplify]: Simplify phi1 into phi1 133.946 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.946 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 133.946 * [taylor]: Taking taylor expansion of phi2 in phi2 133.946 * [backup-simplify]: Simplify 0 into 0 133.946 * [backup-simplify]: Simplify 1 into 1 133.946 * [backup-simplify]: Simplify (/ 1 1) into 1 133.946 * [backup-simplify]: Simplify (+ 0 1) into 1 133.947 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 133.947 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.947 * [taylor]: Taking taylor expansion of phi2 in phi2 133.947 * [backup-simplify]: Simplify 0 into 0 133.947 * [backup-simplify]: Simplify 1 into 1 133.947 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.947 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.947 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 133.947 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 133.948 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 133.948 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 133.949 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 133.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 133.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 133.949 * [backup-simplify]: Simplify (+ 0 0) into 0 133.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 133.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 133.950 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 133.951 * [backup-simplify]: Simplify (- 0) into 0 133.951 * [backup-simplify]: Simplify (+ 0 0) into 0 133.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 133.953 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 133.953 * [taylor]: Taking taylor expansion of 0 in phi1 133.953 * [backup-simplify]: Simplify 0 into 0 133.953 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 133.954 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 133.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 133.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 133.954 * [backup-simplify]: Simplify (+ 0 0) into 0 133.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 133.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 133.956 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 133.956 * [backup-simplify]: Simplify (- 0) into 0 133.956 * [backup-simplify]: Simplify (+ 0 0) into 0 133.956 * [taylor]: Taking taylor expansion of 0 in phi1 133.956 * [backup-simplify]: Simplify 0 into 0 133.956 * [taylor]: Taking taylor expansion of 0 in phi2 133.956 * [backup-simplify]: Simplify 0 into 0 133.956 * [taylor]: Taking taylor expansion of 0 in phi2 133.956 * [backup-simplify]: Simplify 0 into 0 133.957 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 133.957 * [taylor]: Taking taylor expansion of 0 in phi2 133.957 * [backup-simplify]: Simplify 0 into 0 133.957 * [taylor]: Taking taylor expansion of 0 in phi2 133.957 * [backup-simplify]: Simplify 0 into 0 133.957 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 133.957 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 133.959 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 133.961 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cbrt (* (* (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) (* (* (cbrt (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (cbrt (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (cbrt (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) 133.961 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0 133.961 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 133.961 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 133.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 133.961 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 133.961 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 133.961 * [taylor]: Taking taylor expansion of phi2 in phi2 133.961 * [backup-simplify]: Simplify 0 into 0 133.961 * [backup-simplify]: Simplify 1 into 1 133.962 * [backup-simplify]: Simplify (* 1 1) into 1 133.962 * [backup-simplify]: Simplify (/ 1 1) into 1 133.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 133.962 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 133.962 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 133.962 * [taylor]: Taking taylor expansion of phi1 in phi2 133.962 * [backup-simplify]: Simplify phi1 into phi1 133.962 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.962 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 133.962 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 133.962 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 133.962 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 133.963 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 133.963 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 133.963 * [taylor]: Taking taylor expansion of -1/2 in phi2 133.963 * [backup-simplify]: Simplify -1/2 into -1/2 133.963 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 133.963 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 133.963 * [taylor]: Taking taylor expansion of phi1 in phi2 133.963 * [backup-simplify]: Simplify phi1 into phi1 133.963 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.963 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 133.963 * [taylor]: Taking taylor expansion of phi2 in phi2 133.963 * [backup-simplify]: Simplify 0 into 0 133.963 * [backup-simplify]: Simplify 1 into 1 133.963 * [backup-simplify]: Simplify (/ 1 1) into 1 133.964 * [backup-simplify]: Simplify (+ 0 1) into 1 133.964 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 133.964 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.964 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 133.964 * [taylor]: Taking taylor expansion of lambda1 in phi2 133.964 * [backup-simplify]: Simplify lambda1 into lambda1 133.965 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.965 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 133.965 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 133.965 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 133.965 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 133.965 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 133.965 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 133.965 * [taylor]: Taking taylor expansion of -1/2 in phi2 133.965 * [backup-simplify]: Simplify -1/2 into -1/2 133.965 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 133.965 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 133.965 * [taylor]: Taking taylor expansion of phi1 in phi2 133.965 * [backup-simplify]: Simplify phi1 into phi1 133.965 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.965 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 133.965 * [taylor]: Taking taylor expansion of phi2 in phi2 133.965 * [backup-simplify]: Simplify 0 into 0 133.965 * [backup-simplify]: Simplify 1 into 1 133.966 * [backup-simplify]: Simplify (/ 1 1) into 1 133.966 * [backup-simplify]: Simplify (+ 0 1) into 1 133.967 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 133.967 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.967 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 133.967 * [taylor]: Taking taylor expansion of lambda2 in phi2 133.967 * [backup-simplify]: Simplify lambda2 into lambda2 133.967 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.967 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 133.968 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 133.968 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 133.968 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 133.968 * [taylor]: Taking taylor expansion of 2 in phi2 133.968 * [backup-simplify]: Simplify 2 into 2 133.968 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 133.968 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 133.968 * [taylor]: Taking taylor expansion of phi1 in phi2 133.968 * [backup-simplify]: Simplify phi1 into phi1 133.968 * [taylor]: Taking taylor expansion of phi2 in phi2 133.968 * [backup-simplify]: Simplify 0 into 0 133.968 * [backup-simplify]: Simplify 1 into 1 133.968 * [backup-simplify]: Simplify (* phi1 0) into 0 133.968 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 133.968 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.968 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 133.969 * [taylor]: Taking taylor expansion of 2 in phi2 133.969 * [backup-simplify]: Simplify 2 into 2 133.969 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 133.969 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 133.969 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 133.969 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 133.969 * [taylor]: Taking taylor expansion of -1/2 in phi2 133.969 * [backup-simplify]: Simplify -1/2 into -1/2 133.969 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 133.969 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 133.969 * [taylor]: Taking taylor expansion of phi1 in phi2 133.969 * [backup-simplify]: Simplify phi1 into phi1 133.969 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.969 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 133.969 * [taylor]: Taking taylor expansion of phi2 in phi2 133.969 * [backup-simplify]: Simplify 0 into 0 133.969 * [backup-simplify]: Simplify 1 into 1 133.969 * [backup-simplify]: Simplify (/ 1 1) into 1 133.970 * [backup-simplify]: Simplify (+ 0 1) into 1 133.970 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 133.970 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.970 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 133.970 * [taylor]: Taking taylor expansion of lambda1 in phi2 133.970 * [backup-simplify]: Simplify lambda1 into lambda1 133.971 * [taylor]: Taking taylor expansion of lambda2 in phi2 133.971 * [backup-simplify]: Simplify lambda2 into lambda2 133.971 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.971 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 133.971 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 133.972 * [backup-simplify]: Simplify (+ 1 0) into 1 133.972 * [backup-simplify]: Simplify (+ 1 0) into 1 133.972 * [backup-simplify]: Simplify (sqrt 1) into 1 133.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 133.973 * [backup-simplify]: Simplify (+ 0 0) into 0 133.973 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 133.973 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 133.973 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 133.974 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 133.974 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 133.974 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 133.974 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 133.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 133.974 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 133.974 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 133.974 * [taylor]: Taking taylor expansion of phi2 in phi1 133.974 * [backup-simplify]: Simplify phi2 into phi2 133.974 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.974 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 133.974 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 133.974 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 133.974 * [taylor]: Taking taylor expansion of phi1 in phi1 133.974 * [backup-simplify]: Simplify 0 into 0 133.974 * [backup-simplify]: Simplify 1 into 1 133.975 * [backup-simplify]: Simplify (* 1 1) into 1 133.975 * [backup-simplify]: Simplify (/ 1 1) into 1 133.975 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 133.975 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 133.975 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 133.975 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 133.975 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 133.975 * [taylor]: Taking taylor expansion of -1/2 in phi1 133.975 * [backup-simplify]: Simplify -1/2 into -1/2 133.975 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 133.975 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 133.975 * [taylor]: Taking taylor expansion of phi1 in phi1 133.975 * [backup-simplify]: Simplify 0 into 0 133.975 * [backup-simplify]: Simplify 1 into 1 133.975 * [backup-simplify]: Simplify (/ 1 1) into 1 133.975 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 133.975 * [taylor]: Taking taylor expansion of phi2 in phi1 133.975 * [backup-simplify]: Simplify phi2 into phi2 133.975 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.976 * [backup-simplify]: Simplify (+ 1 0) into 1 133.976 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 133.976 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.976 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 133.976 * [taylor]: Taking taylor expansion of lambda1 in phi1 133.976 * [backup-simplify]: Simplify lambda1 into lambda1 133.976 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.976 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 133.976 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 133.976 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 133.976 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 133.976 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 133.976 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 133.976 * [taylor]: Taking taylor expansion of -1/2 in phi1 133.976 * [backup-simplify]: Simplify -1/2 into -1/2 133.976 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 133.977 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 133.977 * [taylor]: Taking taylor expansion of phi1 in phi1 133.977 * [backup-simplify]: Simplify 0 into 0 133.977 * [backup-simplify]: Simplify 1 into 1 133.977 * [backup-simplify]: Simplify (/ 1 1) into 1 133.977 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 133.977 * [taylor]: Taking taylor expansion of phi2 in phi1 133.977 * [backup-simplify]: Simplify phi2 into phi2 133.977 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.977 * [backup-simplify]: Simplify (+ 1 0) into 1 133.977 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 133.978 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.978 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 133.978 * [taylor]: Taking taylor expansion of lambda2 in phi1 133.978 * [backup-simplify]: Simplify lambda2 into lambda2 133.978 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.978 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 133.978 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 133.978 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 133.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 133.978 * [taylor]: Taking taylor expansion of 2 in phi1 133.978 * [backup-simplify]: Simplify 2 into 2 133.978 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 133.978 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 133.978 * [taylor]: Taking taylor expansion of phi1 in phi1 133.978 * [backup-simplify]: Simplify 0 into 0 133.978 * [backup-simplify]: Simplify 1 into 1 133.978 * [taylor]: Taking taylor expansion of phi2 in phi1 133.978 * [backup-simplify]: Simplify phi2 into phi2 133.978 * [backup-simplify]: Simplify (* 0 phi2) into 0 133.978 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 133.978 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.978 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 133.978 * [taylor]: Taking taylor expansion of 2 in phi1 133.979 * [backup-simplify]: Simplify 2 into 2 133.979 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 133.979 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 133.979 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 133.979 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 133.979 * [taylor]: Taking taylor expansion of -1/2 in phi1 133.979 * [backup-simplify]: Simplify -1/2 into -1/2 133.979 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 133.979 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 133.979 * [taylor]: Taking taylor expansion of phi1 in phi1 133.979 * [backup-simplify]: Simplify 0 into 0 133.979 * [backup-simplify]: Simplify 1 into 1 133.979 * [backup-simplify]: Simplify (/ 1 1) into 1 133.979 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 133.979 * [taylor]: Taking taylor expansion of phi2 in phi1 133.979 * [backup-simplify]: Simplify phi2 into phi2 133.979 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.979 * [backup-simplify]: Simplify (+ 1 0) into 1 133.980 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 133.980 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.980 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 133.980 * [taylor]: Taking taylor expansion of lambda1 in phi1 133.980 * [backup-simplify]: Simplify lambda1 into lambda1 133.980 * [taylor]: Taking taylor expansion of lambda2 in phi1 133.980 * [backup-simplify]: Simplify lambda2 into lambda2 133.980 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.980 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 133.980 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 133.980 * [backup-simplify]: Simplify (+ 1 0) into 1 133.981 * [backup-simplify]: Simplify (+ 0 1) into 1 133.981 * [backup-simplify]: Simplify (+ 1 0) into 1 133.981 * [backup-simplify]: Simplify (sqrt 1) into 1 133.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 133.982 * [backup-simplify]: Simplify (+ 0 0) into 0 133.983 * [backup-simplify]: Simplify (+ 0 0) into 0 133.983 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 133.983 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 133.983 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 133.983 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 133.983 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 133.983 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 133.983 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 133.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 133.983 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 133.983 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 133.983 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.983 * [backup-simplify]: Simplify phi2 into phi2 133.983 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.984 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 133.984 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 133.984 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 133.984 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.984 * [backup-simplify]: Simplify phi1 into phi1 133.984 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.984 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 133.984 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 133.984 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 133.984 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 133.984 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 133.984 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 133.984 * [taylor]: Taking taylor expansion of -1/2 in lambda2 133.984 * [backup-simplify]: Simplify -1/2 into -1/2 133.984 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 133.984 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 133.984 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.984 * [backup-simplify]: Simplify phi1 into phi1 133.984 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.984 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 133.984 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.984 * [backup-simplify]: Simplify phi2 into phi2 133.984 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.984 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.984 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.984 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.984 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.984 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.984 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.985 * [backup-simplify]: Simplify (- 0) into 0 133.985 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.985 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 133.985 * [taylor]: Taking taylor expansion of lambda1 in lambda2 133.985 * [backup-simplify]: Simplify lambda1 into lambda1 133.985 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.985 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 133.985 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 133.985 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 133.985 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 133.985 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 133.985 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 133.985 * [taylor]: Taking taylor expansion of -1/2 in lambda2 133.985 * [backup-simplify]: Simplify -1/2 into -1/2 133.985 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 133.985 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 133.985 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.985 * [backup-simplify]: Simplify phi1 into phi1 133.985 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.985 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 133.985 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.985 * [backup-simplify]: Simplify phi2 into phi2 133.985 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.986 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.986 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.986 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.986 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.986 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.986 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.986 * [backup-simplify]: Simplify (- 0) into 0 133.986 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.986 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 133.986 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.986 * [backup-simplify]: Simplify 0 into 0 133.986 * [backup-simplify]: Simplify 1 into 1 133.987 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.987 * [backup-simplify]: Simplify (* 1 1) into 1 133.987 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.987 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 133.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 133.987 * [taylor]: Taking taylor expansion of 2 in lambda2 133.987 * [backup-simplify]: Simplify 2 into 2 133.987 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 133.987 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 133.987 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.987 * [backup-simplify]: Simplify phi1 into phi1 133.987 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.987 * [backup-simplify]: Simplify phi2 into phi2 133.987 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.987 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 133.987 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 133.987 * [taylor]: Taking taylor expansion of 2 in lambda2 133.987 * [backup-simplify]: Simplify 2 into 2 133.987 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 133.987 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 133.987 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 133.987 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 133.987 * [taylor]: Taking taylor expansion of -1/2 in lambda2 133.987 * [backup-simplify]: Simplify -1/2 into -1/2 133.987 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 133.987 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 133.987 * [taylor]: Taking taylor expansion of phi1 in lambda2 133.987 * [backup-simplify]: Simplify phi1 into phi1 133.987 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.987 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 133.987 * [taylor]: Taking taylor expansion of phi2 in lambda2 133.987 * [backup-simplify]: Simplify phi2 into phi2 133.988 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.988 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.988 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.988 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.988 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.988 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.988 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.988 * [backup-simplify]: Simplify (- 0) into 0 133.988 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.988 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 133.988 * [taylor]: Taking taylor expansion of lambda1 in lambda2 133.988 * [backup-simplify]: Simplify lambda1 into lambda1 133.988 * [taylor]: Taking taylor expansion of lambda2 in lambda2 133.988 * [backup-simplify]: Simplify 0 into 0 133.988 * [backup-simplify]: Simplify 1 into 1 133.989 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.989 * [backup-simplify]: Simplify (* lambda1 0) into 0 133.989 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 133.989 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 133.989 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.989 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.989 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.989 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.990 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.990 * [backup-simplify]: Simplify (+ 0) into 0 133.990 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 133.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 133.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 133.991 * [backup-simplify]: Simplify (+ 0 0) into 0 133.991 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 133.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 133.992 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 133.992 * [backup-simplify]: Simplify (- 0) into 0 133.992 * [backup-simplify]: Simplify (+ 0 0) into 0 133.992 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 133.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 133.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 133.994 * [backup-simplify]: Simplify (+ 0 0) into 0 133.994 * [backup-simplify]: Simplify (+ 0 0) into 0 133.994 * [backup-simplify]: Simplify (+ 0 0) into 0 133.994 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 133.995 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 133.995 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 133.995 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 133.995 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 133.995 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 133.995 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 133.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 133.995 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 133.995 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 133.995 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.995 * [backup-simplify]: Simplify phi2 into phi2 133.995 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 133.995 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 133.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 133.995 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 133.995 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 133.996 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.996 * [backup-simplify]: Simplify phi1 into phi1 133.996 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 133.996 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 133.996 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 133.996 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 133.996 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 133.996 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 133.996 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 133.996 * [taylor]: Taking taylor expansion of -1/2 in lambda1 133.996 * [backup-simplify]: Simplify -1/2 into -1/2 133.996 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 133.996 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 133.996 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.996 * [backup-simplify]: Simplify phi1 into phi1 133.996 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.996 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 133.996 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.996 * [backup-simplify]: Simplify phi2 into phi2 133.996 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.996 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.996 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.996 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.996 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.996 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.996 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.997 * [backup-simplify]: Simplify (- 0) into 0 133.997 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.997 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 133.997 * [taylor]: Taking taylor expansion of lambda1 in lambda1 133.997 * [backup-simplify]: Simplify 0 into 0 133.997 * [backup-simplify]: Simplify 1 into 1 133.997 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.997 * [backup-simplify]: Simplify (* 1 1) into 1 133.997 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.997 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 133.997 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 133.997 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 133.997 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 133.997 * [taylor]: Taking taylor expansion of -1/2 in lambda1 133.997 * [backup-simplify]: Simplify -1/2 into -1/2 133.997 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 133.997 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 133.997 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.998 * [backup-simplify]: Simplify phi1 into phi1 133.998 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.998 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 133.998 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.998 * [backup-simplify]: Simplify phi2 into phi2 133.998 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.998 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.998 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 133.998 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.998 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.998 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.998 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 133.998 * [backup-simplify]: Simplify (- 0) into 0 133.998 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 133.998 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 133.998 * [taylor]: Taking taylor expansion of lambda2 in lambda1 133.998 * [backup-simplify]: Simplify lambda2 into lambda2 133.999 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 133.999 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 133.999 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 133.999 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 133.999 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 133.999 * [taylor]: Taking taylor expansion of 2 in lambda1 133.999 * [backup-simplify]: Simplify 2 into 2 133.999 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 133.999 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 133.999 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.999 * [backup-simplify]: Simplify phi1 into phi1 133.999 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.999 * [backup-simplify]: Simplify phi2 into phi2 133.999 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 133.999 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 133.999 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 133.999 * [taylor]: Taking taylor expansion of 2 in lambda1 133.999 * [backup-simplify]: Simplify 2 into 2 133.999 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 133.999 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 133.999 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 133.999 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 133.999 * [taylor]: Taking taylor expansion of -1/2 in lambda1 133.999 * [backup-simplify]: Simplify -1/2 into -1/2 133.999 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 133.999 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 133.999 * [taylor]: Taking taylor expansion of phi1 in lambda1 133.999 * [backup-simplify]: Simplify phi1 into phi1 133.999 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 133.999 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 133.999 * [taylor]: Taking taylor expansion of phi2 in lambda1 133.999 * [backup-simplify]: Simplify phi2 into phi2 133.999 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 133.999 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 133.999 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 134.000 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.000 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.000 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.000 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 134.000 * [backup-simplify]: Simplify (- 0) into 0 134.000 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.000 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 134.000 * [taylor]: Taking taylor expansion of lambda1 in lambda1 134.000 * [backup-simplify]: Simplify 0 into 0 134.000 * [backup-simplify]: Simplify 1 into 1 134.000 * [taylor]: Taking taylor expansion of lambda2 in lambda1 134.000 * [backup-simplify]: Simplify lambda2 into lambda2 134.001 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.001 * [backup-simplify]: Simplify (* 0 lambda2) into 0 134.001 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 134.001 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 134.002 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.002 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.002 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.002 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.003 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.003 * [backup-simplify]: Simplify (+ 0) into 0 134.004 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 134.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 134.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 134.005 * [backup-simplify]: Simplify (+ 0 0) into 0 134.005 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 134.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 134.007 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 134.008 * [backup-simplify]: Simplify (- 0) into 0 134.008 * [backup-simplify]: Simplify (+ 0 0) into 0 134.008 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 134.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 134.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 134.011 * [backup-simplify]: Simplify (+ 0 0) into 0 134.011 * [backup-simplify]: Simplify (+ 0 0) into 0 134.011 * [backup-simplify]: Simplify (+ 0 0) into 0 134.012 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 134.012 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 134.012 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 134.013 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 134.013 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 134.013 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 134.013 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 134.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 134.013 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 134.014 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 134.014 * [taylor]: Taking taylor expansion of phi2 in lambda1 134.014 * [backup-simplify]: Simplify phi2 into phi2 134.014 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 134.014 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 134.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 134.014 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 134.014 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 134.014 * [taylor]: Taking taylor expansion of phi1 in lambda1 134.014 * [backup-simplify]: Simplify phi1 into phi1 134.014 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 134.014 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 134.014 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 134.014 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 134.014 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 134.014 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 134.014 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 134.014 * [taylor]: Taking taylor expansion of -1/2 in lambda1 134.014 * [backup-simplify]: Simplify -1/2 into -1/2 134.014 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 134.014 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 134.014 * [taylor]: Taking taylor expansion of phi1 in lambda1 134.014 * [backup-simplify]: Simplify phi1 into phi1 134.014 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.014 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 134.014 * [taylor]: Taking taylor expansion of phi2 in lambda1 134.014 * [backup-simplify]: Simplify phi2 into phi2 134.014 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.015 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 134.015 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 134.015 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.015 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.015 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.015 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 134.016 * [backup-simplify]: Simplify (- 0) into 0 134.016 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.016 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 134.016 * [taylor]: Taking taylor expansion of lambda1 in lambda1 134.016 * [backup-simplify]: Simplify 0 into 0 134.016 * [backup-simplify]: Simplify 1 into 1 134.016 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.017 * [backup-simplify]: Simplify (* 1 1) into 1 134.017 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.017 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 134.017 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 134.017 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 134.017 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 134.017 * [taylor]: Taking taylor expansion of -1/2 in lambda1 134.017 * [backup-simplify]: Simplify -1/2 into -1/2 134.017 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 134.017 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 134.017 * [taylor]: Taking taylor expansion of phi1 in lambda1 134.017 * [backup-simplify]: Simplify phi1 into phi1 134.017 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.017 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 134.017 * [taylor]: Taking taylor expansion of phi2 in lambda1 134.017 * [backup-simplify]: Simplify phi2 into phi2 134.017 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.018 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 134.018 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 134.018 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.018 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.018 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.018 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 134.019 * [backup-simplify]: Simplify (- 0) into 0 134.019 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.019 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 134.019 * [taylor]: Taking taylor expansion of lambda2 in lambda1 134.019 * [backup-simplify]: Simplify lambda2 into lambda2 134.019 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.019 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 134.020 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 134.020 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 134.020 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 134.020 * [taylor]: Taking taylor expansion of 2 in lambda1 134.020 * [backup-simplify]: Simplify 2 into 2 134.020 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 134.020 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 134.020 * [taylor]: Taking taylor expansion of phi1 in lambda1 134.020 * [backup-simplify]: Simplify phi1 into phi1 134.020 * [taylor]: Taking taylor expansion of phi2 in lambda1 134.020 * [backup-simplify]: Simplify phi2 into phi2 134.020 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 134.020 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 134.020 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 134.020 * [taylor]: Taking taylor expansion of 2 in lambda1 134.020 * [backup-simplify]: Simplify 2 into 2 134.020 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 134.020 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 134.020 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 134.020 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 134.020 * [taylor]: Taking taylor expansion of -1/2 in lambda1 134.020 * [backup-simplify]: Simplify -1/2 into -1/2 134.020 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 134.020 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 134.020 * [taylor]: Taking taylor expansion of phi1 in lambda1 134.020 * [backup-simplify]: Simplify phi1 into phi1 134.020 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.020 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 134.021 * [taylor]: Taking taylor expansion of phi2 in lambda1 134.021 * [backup-simplify]: Simplify phi2 into phi2 134.021 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.021 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 134.021 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 134.021 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.021 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.021 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.021 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 134.022 * [backup-simplify]: Simplify (- 0) into 0 134.022 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.022 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 134.022 * [taylor]: Taking taylor expansion of lambda1 in lambda1 134.022 * [backup-simplify]: Simplify 0 into 0 134.022 * [backup-simplify]: Simplify 1 into 1 134.022 * [taylor]: Taking taylor expansion of lambda2 in lambda1 134.022 * [backup-simplify]: Simplify lambda2 into lambda2 134.023 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.023 * [backup-simplify]: Simplify (* 0 lambda2) into 0 134.023 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 134.023 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 134.024 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.024 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.024 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.024 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 134.025 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.025 * [backup-simplify]: Simplify (+ 0) into 0 134.026 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 134.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 134.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 134.026 * [backup-simplify]: Simplify (+ 0 0) into 0 134.027 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 134.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 134.028 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 134.029 * [backup-simplify]: Simplify (- 0) into 0 134.029 * [backup-simplify]: Simplify (+ 0 0) into 0 134.029 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 134.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 134.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 134.031 * [backup-simplify]: Simplify (+ 0 0) into 0 134.032 * [backup-simplify]: Simplify (+ 0 0) into 0 134.032 * [backup-simplify]: Simplify (+ 0 0) into 0 134.033 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 134.033 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 134.033 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 134.034 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 134.034 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 134.034 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 134.034 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 134.034 * [taylor]: Taking taylor expansion of -1/2 in lambda2 134.034 * [backup-simplify]: Simplify -1/2 into -1/2 134.034 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 134.034 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 134.034 * [taylor]: Taking taylor expansion of phi1 in lambda2 134.035 * [backup-simplify]: Simplify phi1 into phi1 134.035 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.035 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 134.035 * [taylor]: Taking taylor expansion of phi2 in lambda2 134.035 * [backup-simplify]: Simplify phi2 into phi2 134.035 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.035 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 134.035 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 134.035 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.035 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.035 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 134.035 * [taylor]: Taking taylor expansion of -1 in lambda2 134.035 * [backup-simplify]: Simplify -1 into -1 134.035 * [taylor]: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 134.035 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 134.035 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 134.035 * [taylor]: Taking taylor expansion of -1/2 in lambda2 134.036 * [backup-simplify]: Simplify -1/2 into -1/2 134.036 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 134.036 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 134.036 * [taylor]: Taking taylor expansion of phi1 in lambda2 134.036 * [backup-simplify]: Simplify phi1 into phi1 134.036 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.036 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 134.036 * [taylor]: Taking taylor expansion of phi2 in lambda2 134.036 * [backup-simplify]: Simplify phi2 into phi2 134.036 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.036 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 134.036 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 134.036 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.036 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.036 * [taylor]: Taking taylor expansion of lambda2 in lambda2 134.036 * [backup-simplify]: Simplify 0 into 0 134.036 * [backup-simplify]: Simplify 1 into 1 134.037 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.037 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 134.037 * [backup-simplify]: Simplify (- 0) into 0 134.037 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.038 * [backup-simplify]: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.038 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 134.038 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 134.038 * [taylor]: Taking taylor expansion of -1 in phi1 134.038 * [backup-simplify]: Simplify -1 into -1 134.038 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.038 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.038 * [taylor]: Taking taylor expansion of -1/2 in phi1 134.038 * [backup-simplify]: Simplify -1/2 into -1/2 134.038 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.038 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.038 * [taylor]: Taking taylor expansion of phi1 in phi1 134.038 * [backup-simplify]: Simplify 0 into 0 134.038 * [backup-simplify]: Simplify 1 into 1 134.039 * [backup-simplify]: Simplify (/ 1 1) into 1 134.039 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.039 * [taylor]: Taking taylor expansion of phi2 in phi1 134.039 * [backup-simplify]: Simplify phi2 into phi2 134.039 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.039 * [backup-simplify]: Simplify (+ 1 0) into 1 134.040 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.040 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.040 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.040 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 134.041 * [backup-simplify]: Simplify (- 0) into 0 134.041 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.041 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.041 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.041 * [taylor]: Taking taylor expansion of -1/2 in phi1 134.041 * [backup-simplify]: Simplify -1/2 into -1/2 134.041 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.041 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.041 * [taylor]: Taking taylor expansion of phi1 in phi1 134.041 * [backup-simplify]: Simplify 0 into 0 134.041 * [backup-simplify]: Simplify 1 into 1 134.042 * [backup-simplify]: Simplify (/ 1 1) into 1 134.042 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.042 * [taylor]: Taking taylor expansion of phi2 in phi1 134.042 * [backup-simplify]: Simplify phi2 into phi2 134.042 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.042 * [backup-simplify]: Simplify (+ 1 0) into 1 134.043 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.043 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.044 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 134.045 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 134.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 134.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 134.046 * [backup-simplify]: Simplify (+ 0 0) into 0 134.046 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 134.047 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 134.048 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 134.048 * [backup-simplify]: Simplify (- 0) into 0 134.049 * [backup-simplify]: Simplify (+ 0 0) into 0 134.049 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 134.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 134.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 134.052 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 134.053 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 134.053 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 134.053 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 134.054 * [backup-simplify]: Simplify (+ 0) into 0 134.054 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 134.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 134.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 134.055 * [backup-simplify]: Simplify (+ 0 0) into 0 134.056 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 134.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 134.057 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 134.057 * [backup-simplify]: Simplify (- 0) into 0 134.058 * [backup-simplify]: Simplify (+ 0 0) into 0 134.058 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 134.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 134.059 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 134.060 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 134.060 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 134.060 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 134.061 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 134.067 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 134.067 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 134.067 * [taylor]: Taking taylor expansion of 1/2 in lambda2 134.067 * [backup-simplify]: Simplify 1/2 into 1/2 134.067 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 134.067 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 134.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 134.067 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 134.067 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 134.068 * [taylor]: Taking taylor expansion of phi2 in lambda2 134.068 * [backup-simplify]: Simplify phi2 into phi2 134.068 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 134.068 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 134.068 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 134.068 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 134.068 * [taylor]: Taking taylor expansion of phi1 in lambda2 134.068 * [backup-simplify]: Simplify phi1 into phi1 134.068 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 134.068 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 134.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 134.068 * [taylor]: Taking taylor expansion of 2 in lambda2 134.068 * [backup-simplify]: Simplify 2 into 2 134.068 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 134.068 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 134.068 * [taylor]: Taking taylor expansion of phi1 in lambda2 134.068 * [backup-simplify]: Simplify phi1 into phi1 134.068 * [taylor]: Taking taylor expansion of phi2 in lambda2 134.068 * [backup-simplify]: Simplify phi2 into phi2 134.068 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 134.068 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 134.068 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 134.068 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 134.068 * [taylor]: Taking taylor expansion of -1/2 in lambda2 134.068 * [backup-simplify]: Simplify -1/2 into -1/2 134.069 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 134.069 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 134.069 * [taylor]: Taking taylor expansion of phi1 in lambda2 134.069 * [backup-simplify]: Simplify phi1 into phi1 134.069 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.069 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 134.069 * [taylor]: Taking taylor expansion of phi2 in lambda2 134.069 * [backup-simplify]: Simplify phi2 into phi2 134.069 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.069 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 134.069 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 134.069 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.069 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.070 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 134.070 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 134.070 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 134.070 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 134.070 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.070 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 134.071 * [backup-simplify]: Simplify (- 0) into 0 134.071 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.072 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 134.072 * [backup-simplify]: Simplify (+ 0) into 0 134.073 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 134.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 134.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 134.073 * [backup-simplify]: Simplify (+ 0 0) into 0 134.073 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 134.074 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 134.074 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 134.074 * [backup-simplify]: Simplify (- 0) into 0 134.075 * [backup-simplify]: Simplify (+ 0 0) into 0 134.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 134.076 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 134.076 * [taylor]: Taking taylor expansion of 0 in phi1 134.076 * [backup-simplify]: Simplify 0 into 0 134.076 * [backup-simplify]: Simplify (+ 0) into 0 134.076 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 134.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 134.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 134.077 * [backup-simplify]: Simplify (+ 0 0) into 0 134.077 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 134.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 134.078 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 134.078 * [backup-simplify]: Simplify (- 0) into 0 134.078 * [backup-simplify]: Simplify (+ 0 0) into 0 134.078 * [taylor]: Taking taylor expansion of 0 in phi1 134.078 * [backup-simplify]: Simplify 0 into 0 134.078 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 134.078 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 134.078 * [taylor]: Taking taylor expansion of -1 in phi2 134.078 * [backup-simplify]: Simplify -1 into -1 134.078 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.079 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.079 * [taylor]: Taking taylor expansion of -1/2 in phi2 134.079 * [backup-simplify]: Simplify -1/2 into -1/2 134.079 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.079 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.079 * [taylor]: Taking taylor expansion of phi1 in phi2 134.079 * [backup-simplify]: Simplify phi1 into phi1 134.079 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.079 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.079 * [taylor]: Taking taylor expansion of phi2 in phi2 134.079 * [backup-simplify]: Simplify 0 into 0 134.079 * [backup-simplify]: Simplify 1 into 1 134.079 * [backup-simplify]: Simplify (/ 1 1) into 1 134.079 * [backup-simplify]: Simplify (+ 0 1) into 1 134.079 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.080 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.080 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.080 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.080 * [taylor]: Taking taylor expansion of -1/2 in phi2 134.080 * [backup-simplify]: Simplify -1/2 into -1/2 134.080 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.080 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.080 * [taylor]: Taking taylor expansion of phi1 in phi2 134.080 * [backup-simplify]: Simplify phi1 into phi1 134.080 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.080 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.080 * [taylor]: Taking taylor expansion of phi2 in phi2 134.080 * [backup-simplify]: Simplify 0 into 0 134.080 * [backup-simplify]: Simplify 1 into 1 134.080 * [backup-simplify]: Simplify (/ 1 1) into 1 134.080 * [backup-simplify]: Simplify (+ 0 1) into 1 134.081 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.081 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.081 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 134.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 134.081 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 134.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 134.082 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 134.082 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 134.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 134.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 134.083 * [backup-simplify]: Simplify (+ 0 0) into 0 134.083 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 134.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 134.085 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 134.085 * [backup-simplify]: Simplify (- 0) into 0 134.085 * [backup-simplify]: Simplify (+ 0 0) into 0 134.086 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 134.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 134.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 134.089 * [backup-simplify]: Simplify (+ 0) into 0 134.089 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 134.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 134.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 134.090 * [backup-simplify]: Simplify (+ 0 0) into 0 134.090 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 134.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 134.091 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 134.091 * [backup-simplify]: Simplify (- 0) into 0 134.091 * [backup-simplify]: Simplify (+ 0 0) into 0 134.091 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 134.091 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 134.092 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 134.092 * [backup-simplify]: Simplify (+ 0 0) into 0 134.092 * [backup-simplify]: Simplify (+ 0 0) into 0 134.092 * [backup-simplify]: Simplify (+ 0 0) into 0 134.092 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 134.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 134.093 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 134.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 134.094 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 134.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 134.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 134.094 * [backup-simplify]: Simplify (+ 0 0) into 0 134.095 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 134.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 134.096 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 134.096 * [backup-simplify]: Simplify (- 0) into 0 134.096 * [backup-simplify]: Simplify (+ 0 0) into 0 134.097 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 134.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0 134.097 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 134.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 134.098 * [backup-simplify]: Simplify (+ 0 0) into 0 134.099 * [backup-simplify]: Simplify (- 0) into 0 134.099 * [backup-simplify]: Simplify (+ 0 0) into 0 134.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 134.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 134.100 * [taylor]: Taking taylor expansion of 1/2 in lambda2 134.100 * [backup-simplify]: Simplify 1/2 into 1/2 134.100 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 134.100 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 134.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 134.100 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 134.100 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 134.100 * [taylor]: Taking taylor expansion of lambda2 in lambda2 134.100 * [backup-simplify]: Simplify 0 into 0 134.100 * [backup-simplify]: Simplify 1 into 1 134.100 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 134.100 * [taylor]: Taking taylor expansion of phi2 in lambda2 134.100 * [backup-simplify]: Simplify phi2 into phi2 134.100 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 134.100 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 134.100 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 134.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 134.100 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 134.100 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 134.100 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 134.100 * [taylor]: Taking taylor expansion of lambda2 in lambda2 134.100 * [backup-simplify]: Simplify 0 into 0 134.100 * [backup-simplify]: Simplify 1 into 1 134.100 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 134.100 * [taylor]: Taking taylor expansion of phi1 in lambda2 134.100 * [backup-simplify]: Simplify phi1 into phi1 134.100 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 134.101 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 134.101 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 134.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 134.101 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 134.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 134.101 * [taylor]: Taking taylor expansion of 2 in lambda2 134.101 * [backup-simplify]: Simplify 2 into 2 134.101 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 134.101 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 134.101 * [taylor]: Taking taylor expansion of lambda2 in lambda2 134.101 * [backup-simplify]: Simplify 0 into 0 134.101 * [backup-simplify]: Simplify 1 into 1 134.101 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 134.101 * [taylor]: Taking taylor expansion of phi1 in lambda2 134.101 * [backup-simplify]: Simplify phi1 into phi1 134.101 * [taylor]: Taking taylor expansion of phi2 in lambda2 134.101 * [backup-simplify]: Simplify phi2 into phi2 134.101 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 134.101 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 134.101 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 134.102 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 134.102 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 134.102 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 134.102 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 134.102 * [taylor]: Taking taylor expansion of -1/2 in lambda2 134.102 * [backup-simplify]: Simplify -1/2 into -1/2 134.102 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 134.102 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 134.102 * [taylor]: Taking taylor expansion of phi1 in lambda2 134.102 * [backup-simplify]: Simplify phi1 into phi1 134.102 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.102 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 134.102 * [taylor]: Taking taylor expansion of phi2 in lambda2 134.102 * [backup-simplify]: Simplify phi2 into phi2 134.102 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.102 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 134.102 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 134.102 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.102 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.102 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 134.102 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 134.102 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 134.102 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 134.103 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.103 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 134.103 * [backup-simplify]: Simplify (- 0) into 0 134.103 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.103 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 134.103 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 134.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 134.104 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.104 * [backup-simplify]: Simplify 1/2 into 1/2 134.104 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 134.104 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 134.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 134.104 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 134.104 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 134.104 * [taylor]: Taking taylor expansion of phi2 in phi1 134.104 * [backup-simplify]: Simplify phi2 into phi2 134.104 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 134.104 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 134.104 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 134.104 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 134.104 * [taylor]: Taking taylor expansion of phi1 in phi1 134.104 * [backup-simplify]: Simplify 0 into 0 134.104 * [backup-simplify]: Simplify 1 into 1 134.104 * [backup-simplify]: Simplify (* 1 1) into 1 134.104 * [backup-simplify]: Simplify (/ 1 1) into 1 134.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 134.104 * [taylor]: Taking taylor expansion of 2 in phi1 134.104 * [backup-simplify]: Simplify 2 into 2 134.104 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 134.104 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 134.104 * [taylor]: Taking taylor expansion of phi1 in phi1 134.104 * [backup-simplify]: Simplify 0 into 0 134.104 * [backup-simplify]: Simplify 1 into 1 134.105 * [taylor]: Taking taylor expansion of phi2 in phi1 134.105 * [backup-simplify]: Simplify phi2 into phi2 134.105 * [backup-simplify]: Simplify (* 0 phi2) into 0 134.105 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 134.105 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.105 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.105 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.105 * [taylor]: Taking taylor expansion of -1/2 in phi1 134.105 * [backup-simplify]: Simplify -1/2 into -1/2 134.105 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.105 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.105 * [taylor]: Taking taylor expansion of phi1 in phi1 134.105 * [backup-simplify]: Simplify 0 into 0 134.105 * [backup-simplify]: Simplify 1 into 1 134.105 * [backup-simplify]: Simplify (/ 1 1) into 1 134.105 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.105 * [taylor]: Taking taylor expansion of phi2 in phi1 134.105 * [backup-simplify]: Simplify phi2 into phi2 134.105 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.106 * [backup-simplify]: Simplify (+ 1 0) into 1 134.106 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.106 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.106 * [backup-simplify]: Simplify (+ 0 1) into 1 134.107 * [backup-simplify]: Simplify (+ 1 0) into 1 134.107 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 134.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 134.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 134.108 * [backup-simplify]: Simplify (+ 0 0) into 0 134.108 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 134.108 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 134.108 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 134.108 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 134.108 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 134.108 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 134.108 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 134.108 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 134.109 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.109 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.109 * [taylor]: Taking taylor expansion of -1/2 in phi2 134.109 * [backup-simplify]: Simplify -1/2 into -1/2 134.109 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.109 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.109 * [taylor]: Taking taylor expansion of phi1 in phi2 134.109 * [backup-simplify]: Simplify phi1 into phi1 134.109 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.109 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.109 * [taylor]: Taking taylor expansion of phi2 in phi2 134.109 * [backup-simplify]: Simplify 0 into 0 134.109 * [backup-simplify]: Simplify 1 into 1 134.109 * [backup-simplify]: Simplify (/ 1 1) into 1 134.109 * [backup-simplify]: Simplify (+ 0 1) into 1 134.110 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.110 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.110 * [taylor]: Taking taylor expansion of phi2 in phi2 134.110 * [backup-simplify]: Simplify 0 into 0 134.110 * [backup-simplify]: Simplify 1 into 1 134.110 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 134.110 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.110 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 134.110 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 134.110 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 134.111 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 134.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 134.111 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.111 * [backup-simplify]: Simplify 1/2 into 1/2 134.111 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 134.111 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 134.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 134.111 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 134.111 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 134.111 * [taylor]: Taking taylor expansion of phi2 in phi1 134.111 * [backup-simplify]: Simplify phi2 into phi2 134.111 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 134.111 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 134.111 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 134.111 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 134.111 * [taylor]: Taking taylor expansion of phi1 in phi1 134.111 * [backup-simplify]: Simplify 0 into 0 134.111 * [backup-simplify]: Simplify 1 into 1 134.111 * [backup-simplify]: Simplify (* 1 1) into 1 134.112 * [backup-simplify]: Simplify (/ 1 1) into 1 134.112 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 134.112 * [taylor]: Taking taylor expansion of 2 in phi1 134.112 * [backup-simplify]: Simplify 2 into 2 134.112 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 134.112 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 134.112 * [taylor]: Taking taylor expansion of phi1 in phi1 134.112 * [backup-simplify]: Simplify 0 into 0 134.112 * [backup-simplify]: Simplify 1 into 1 134.112 * [taylor]: Taking taylor expansion of phi2 in phi1 134.112 * [backup-simplify]: Simplify phi2 into phi2 134.112 * [backup-simplify]: Simplify (* 0 phi2) into 0 134.112 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 134.112 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.112 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.112 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.112 * [taylor]: Taking taylor expansion of -1/2 in phi1 134.112 * [backup-simplify]: Simplify -1/2 into -1/2 134.112 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.112 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.112 * [taylor]: Taking taylor expansion of phi1 in phi1 134.112 * [backup-simplify]: Simplify 0 into 0 134.112 * [backup-simplify]: Simplify 1 into 1 134.112 * [backup-simplify]: Simplify (/ 1 1) into 1 134.112 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.112 * [taylor]: Taking taylor expansion of phi2 in phi1 134.112 * [backup-simplify]: Simplify phi2 into phi2 134.112 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.113 * [backup-simplify]: Simplify (+ 1 0) into 1 134.113 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.113 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.113 * [backup-simplify]: Simplify (+ 0 1) into 1 134.114 * [backup-simplify]: Simplify (+ 1 0) into 1 134.114 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 134.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 134.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 134.115 * [backup-simplify]: Simplify (+ 0 0) into 0 134.115 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 134.115 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 134.115 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 134.115 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 134.116 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 134.116 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 134.116 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 134.116 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 134.116 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.116 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.116 * [taylor]: Taking taylor expansion of -1/2 in phi2 134.116 * [backup-simplify]: Simplify -1/2 into -1/2 134.116 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.116 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.116 * [taylor]: Taking taylor expansion of phi1 in phi2 134.116 * [backup-simplify]: Simplify phi1 into phi1 134.116 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.116 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.116 * [taylor]: Taking taylor expansion of phi2 in phi2 134.116 * [backup-simplify]: Simplify 0 into 0 134.116 * [backup-simplify]: Simplify 1 into 1 134.116 * [backup-simplify]: Simplify (/ 1 1) into 1 134.116 * [backup-simplify]: Simplify (+ 0 1) into 1 134.117 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.117 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.117 * [taylor]: Taking taylor expansion of phi2 in phi2 134.117 * [backup-simplify]: Simplify 0 into 0 134.117 * [backup-simplify]: Simplify 1 into 1 134.117 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 134.117 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.117 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 134.117 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 134.117 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 134.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 134.119 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 134.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 134.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 134.119 * [backup-simplify]: Simplify (+ 0 0) into 0 134.120 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 134.120 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 134.121 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 134.121 * [backup-simplify]: Simplify (- 0) into 0 134.121 * [backup-simplify]: Simplify (+ 0 0) into 0 134.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 134.124 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 134.124 * [taylor]: Taking taylor expansion of 0 in phi1 134.124 * [backup-simplify]: Simplify 0 into 0 134.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 134.126 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 134.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 134.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 134.126 * [backup-simplify]: Simplify (+ 0 0) into 0 134.127 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 134.128 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 134.128 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 134.129 * [backup-simplify]: Simplify (- 0) into 0 134.129 * [backup-simplify]: Simplify (+ 0 0) into 0 134.129 * [taylor]: Taking taylor expansion of 0 in phi1 134.129 * [backup-simplify]: Simplify 0 into 0 134.129 * [taylor]: Taking taylor expansion of 0 in phi2 134.129 * [backup-simplify]: Simplify 0 into 0 134.129 * [taylor]: Taking taylor expansion of 0 in phi2 134.129 * [backup-simplify]: Simplify 0 into 0 134.130 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 134.130 * [taylor]: Taking taylor expansion of 0 in phi2 134.130 * [backup-simplify]: Simplify 0 into 0 134.130 * [taylor]: Taking taylor expansion of 0 in phi2 134.130 * [backup-simplify]: Simplify 0 into 0 134.130 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 134.131 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 134.132 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 134.132 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2 1 2) 134.132 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 134.132 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 134.132 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 134.132 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 134.132 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.132 * [backup-simplify]: Simplify 1/2 into 1/2 134.132 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 134.132 * [taylor]: Taking taylor expansion of phi1 in phi2 134.132 * [backup-simplify]: Simplify phi1 into phi1 134.132 * [taylor]: Taking taylor expansion of phi2 in phi2 134.132 * [backup-simplify]: Simplify 0 into 0 134.132 * [backup-simplify]: Simplify 1 into 1 134.132 * [backup-simplify]: Simplify (+ phi1 0) into phi1 134.133 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 134.133 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 134.133 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 134.133 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 134.133 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 134.133 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.133 * [backup-simplify]: Simplify 1/2 into 1/2 134.133 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 134.133 * [taylor]: Taking taylor expansion of phi1 in phi1 134.133 * [backup-simplify]: Simplify 0 into 0 134.133 * [backup-simplify]: Simplify 1 into 1 134.133 * [taylor]: Taking taylor expansion of phi2 in phi1 134.133 * [backup-simplify]: Simplify phi2 into phi2 134.133 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 134.133 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 134.133 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 134.133 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 134.133 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 134.133 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 134.133 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.133 * [backup-simplify]: Simplify 1/2 into 1/2 134.133 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 134.133 * [taylor]: Taking taylor expansion of phi1 in phi1 134.133 * [backup-simplify]: Simplify 0 into 0 134.133 * [backup-simplify]: Simplify 1 into 1 134.133 * [taylor]: Taking taylor expansion of phi2 in phi1 134.133 * [backup-simplify]: Simplify phi2 into phi2 134.133 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 134.133 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 134.133 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 134.133 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 134.133 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 134.133 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 134.134 * [backup-simplify]: Simplify (- 0) into 0 134.134 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 134.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 134.134 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 134.134 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.134 * [backup-simplify]: Simplify 1/2 into 1/2 134.134 * [taylor]: Taking taylor expansion of phi2 in phi2 134.134 * [backup-simplify]: Simplify 0 into 0 134.134 * [backup-simplify]: Simplify 1 into 1 134.134 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.134 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 134.135 * [backup-simplify]: Simplify 1 into 1 134.135 * [backup-simplify]: Simplify (+ 0) into 0 134.135 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 134.135 * [backup-simplify]: Simplify (+ 1 0) into 1 134.136 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 134.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 134.136 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 134.137 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 134.137 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 134.137 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 134.137 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 134.137 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.137 * [backup-simplify]: Simplify 1/2 into 1/2 134.137 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 134.137 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 134.137 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.137 * [backup-simplify]: Simplify 1/2 into 1/2 134.137 * [taylor]: Taking taylor expansion of phi2 in phi2 134.137 * [backup-simplify]: Simplify 0 into 0 134.137 * [backup-simplify]: Simplify 1 into 1 134.137 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.138 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 134.138 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.138 * [backup-simplify]: Simplify (- 0) into 0 134.138 * [backup-simplify]: Simplify 0 into 0 134.138 * [backup-simplify]: Simplify (+ 0) into 0 134.138 * [backup-simplify]: Simplify 0 into 0 134.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 134.139 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 134.140 * [backup-simplify]: Simplify (+ 0 0) into 0 134.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 134.141 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 134.141 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 134.141 * [backup-simplify]: Simplify (- 0) into 0 134.141 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 134.142 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 134.142 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 134.142 * [taylor]: Taking taylor expansion of 1/8 in phi2 134.142 * [backup-simplify]: Simplify 1/8 into 1/8 134.142 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 134.142 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 134.142 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.142 * [backup-simplify]: Simplify 1/2 into 1/2 134.142 * [taylor]: Taking taylor expansion of phi2 in phi2 134.142 * [backup-simplify]: Simplify 0 into 0 134.142 * [backup-simplify]: Simplify 1 into 1 134.142 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.142 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 134.143 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 134.143 * [backup-simplify]: Simplify (- 1/8) into -1/8 134.143 * [backup-simplify]: Simplify -1/8 into -1/8 134.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 134.144 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 134.144 * [backup-simplify]: Simplify (- 1/4) into -1/4 134.144 * [backup-simplify]: Simplify -1/4 into -1/4 134.144 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 134.144 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.144 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 134.144 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.144 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.144 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.144 * [backup-simplify]: Simplify 1/2 into 1/2 134.144 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.144 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.145 * [taylor]: Taking taylor expansion of phi1 in phi2 134.145 * [backup-simplify]: Simplify phi1 into phi1 134.145 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.145 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.145 * [taylor]: Taking taylor expansion of phi2 in phi2 134.145 * [backup-simplify]: Simplify 0 into 0 134.145 * [backup-simplify]: Simplify 1 into 1 134.145 * [backup-simplify]: Simplify (/ 1 1) into 1 134.145 * [backup-simplify]: Simplify (+ 0 1) into 1 134.145 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.146 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.146 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.146 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.146 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.146 * [backup-simplify]: Simplify 1/2 into 1/2 134.146 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.146 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.146 * [taylor]: Taking taylor expansion of phi1 in phi1 134.146 * [backup-simplify]: Simplify 0 into 0 134.146 * [backup-simplify]: Simplify 1 into 1 134.146 * [backup-simplify]: Simplify (/ 1 1) into 1 134.146 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.146 * [taylor]: Taking taylor expansion of phi2 in phi1 134.146 * [backup-simplify]: Simplify phi2 into phi2 134.146 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.146 * [backup-simplify]: Simplify (+ 1 0) into 1 134.147 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.147 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.147 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.147 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.147 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.147 * [backup-simplify]: Simplify 1/2 into 1/2 134.147 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.147 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.147 * [taylor]: Taking taylor expansion of phi1 in phi1 134.147 * [backup-simplify]: Simplify 0 into 0 134.147 * [backup-simplify]: Simplify 1 into 1 134.147 * [backup-simplify]: Simplify (/ 1 1) into 1 134.147 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.147 * [taylor]: Taking taylor expansion of phi2 in phi1 134.147 * [backup-simplify]: Simplify phi2 into phi2 134.147 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.147 * [backup-simplify]: Simplify (+ 1 0) into 1 134.148 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.148 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.148 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.148 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.148 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.148 * [backup-simplify]: Simplify 1/2 into 1/2 134.148 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.148 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.148 * [taylor]: Taking taylor expansion of phi1 in phi2 134.148 * [backup-simplify]: Simplify phi1 into phi1 134.148 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.148 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.148 * [taylor]: Taking taylor expansion of phi2 in phi2 134.148 * [backup-simplify]: Simplify 0 into 0 134.148 * [backup-simplify]: Simplify 1 into 1 134.148 * [backup-simplify]: Simplify (/ 1 1) into 1 134.149 * [backup-simplify]: Simplify (+ 0 1) into 1 134.149 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.149 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.149 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.149 * [taylor]: Taking taylor expansion of 0 in phi2 134.149 * [backup-simplify]: Simplify 0 into 0 134.149 * [backup-simplify]: Simplify 0 into 0 134.149 * [backup-simplify]: Simplify 0 into 0 134.149 * [taylor]: Taking taylor expansion of 0 in phi2 134.149 * [backup-simplify]: Simplify 0 into 0 134.149 * [backup-simplify]: Simplify 0 into 0 134.149 * [backup-simplify]: Simplify 0 into 0 134.149 * [backup-simplify]: Simplify 0 into 0 134.149 * [taylor]: Taking taylor expansion of 0 in phi2 134.149 * [backup-simplify]: Simplify 0 into 0 134.149 * [backup-simplify]: Simplify 0 into 0 134.149 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 134.150 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.150 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 134.150 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.150 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.150 * [taylor]: Taking taylor expansion of -1/2 in phi2 134.150 * [backup-simplify]: Simplify -1/2 into -1/2 134.150 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.150 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.150 * [taylor]: Taking taylor expansion of phi1 in phi2 134.150 * [backup-simplify]: Simplify phi1 into phi1 134.150 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.150 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.150 * [taylor]: Taking taylor expansion of phi2 in phi2 134.150 * [backup-simplify]: Simplify 0 into 0 134.150 * [backup-simplify]: Simplify 1 into 1 134.150 * [backup-simplify]: Simplify (/ 1 1) into 1 134.150 * [backup-simplify]: Simplify (+ 0 1) into 1 134.151 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.151 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.151 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.151 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.151 * [taylor]: Taking taylor expansion of -1/2 in phi1 134.151 * [backup-simplify]: Simplify -1/2 into -1/2 134.151 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.151 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.151 * [taylor]: Taking taylor expansion of phi1 in phi1 134.151 * [backup-simplify]: Simplify 0 into 0 134.151 * [backup-simplify]: Simplify 1 into 1 134.151 * [backup-simplify]: Simplify (/ 1 1) into 1 134.151 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.151 * [taylor]: Taking taylor expansion of phi2 in phi1 134.151 * [backup-simplify]: Simplify phi2 into phi2 134.151 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.151 * [backup-simplify]: Simplify (+ 1 0) into 1 134.152 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.152 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.152 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.152 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.152 * [taylor]: Taking taylor expansion of -1/2 in phi1 134.152 * [backup-simplify]: Simplify -1/2 into -1/2 134.152 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.152 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.152 * [taylor]: Taking taylor expansion of phi1 in phi1 134.152 * [backup-simplify]: Simplify 0 into 0 134.152 * [backup-simplify]: Simplify 1 into 1 134.152 * [backup-simplify]: Simplify (/ 1 1) into 1 134.152 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.152 * [taylor]: Taking taylor expansion of phi2 in phi1 134.152 * [backup-simplify]: Simplify phi2 into phi2 134.152 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.153 * [backup-simplify]: Simplify (+ 1 0) into 1 134.153 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.153 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.153 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.153 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.153 * [taylor]: Taking taylor expansion of -1/2 in phi2 134.153 * [backup-simplify]: Simplify -1/2 into -1/2 134.153 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.153 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.153 * [taylor]: Taking taylor expansion of phi1 in phi2 134.153 * [backup-simplify]: Simplify phi1 into phi1 134.153 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.153 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.153 * [taylor]: Taking taylor expansion of phi2 in phi2 134.153 * [backup-simplify]: Simplify 0 into 0 134.153 * [backup-simplify]: Simplify 1 into 1 134.153 * [backup-simplify]: Simplify (/ 1 1) into 1 134.154 * [backup-simplify]: Simplify (+ 0 1) into 1 134.154 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.154 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.154 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.154 * [taylor]: Taking taylor expansion of 0 in phi2 134.154 * [backup-simplify]: Simplify 0 into 0 134.154 * [backup-simplify]: Simplify 0 into 0 134.154 * [backup-simplify]: Simplify 0 into 0 134.154 * [taylor]: Taking taylor expansion of 0 in phi2 134.154 * [backup-simplify]: Simplify 0 into 0 134.154 * [backup-simplify]: Simplify 0 into 0 134.154 * [backup-simplify]: Simplify 0 into 0 134.154 * [backup-simplify]: Simplify 0 into 0 134.154 * [taylor]: Taking taylor expansion of 0 in phi2 134.154 * [backup-simplify]: Simplify 0 into 0 134.154 * [backup-simplify]: Simplify 0 into 0 134.155 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 134.155 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2 1 1 2 2 1) 134.155 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 134.155 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 134.155 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 134.155 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 134.155 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.155 * [backup-simplify]: Simplify 1/2 into 1/2 134.155 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 134.155 * [taylor]: Taking taylor expansion of phi1 in phi2 134.155 * [backup-simplify]: Simplify phi1 into phi1 134.155 * [taylor]: Taking taylor expansion of phi2 in phi2 134.155 * [backup-simplify]: Simplify 0 into 0 134.155 * [backup-simplify]: Simplify 1 into 1 134.155 * [backup-simplify]: Simplify (+ phi1 0) into phi1 134.155 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 134.155 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 134.155 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 134.155 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 134.155 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 134.155 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.155 * [backup-simplify]: Simplify 1/2 into 1/2 134.155 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 134.155 * [taylor]: Taking taylor expansion of phi1 in phi1 134.155 * [backup-simplify]: Simplify 0 into 0 134.155 * [backup-simplify]: Simplify 1 into 1 134.155 * [taylor]: Taking taylor expansion of phi2 in phi1 134.155 * [backup-simplify]: Simplify phi2 into phi2 134.155 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 134.155 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 134.155 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 134.155 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 134.155 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 134.155 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 134.155 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.155 * [backup-simplify]: Simplify 1/2 into 1/2 134.155 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 134.155 * [taylor]: Taking taylor expansion of phi1 in phi1 134.155 * [backup-simplify]: Simplify 0 into 0 134.155 * [backup-simplify]: Simplify 1 into 1 134.155 * [taylor]: Taking taylor expansion of phi2 in phi1 134.155 * [backup-simplify]: Simplify phi2 into phi2 134.155 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 134.156 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 134.156 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 134.156 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 134.156 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 134.156 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 134.156 * [backup-simplify]: Simplify (- 0) into 0 134.156 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 134.156 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 134.156 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 134.156 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.156 * [backup-simplify]: Simplify 1/2 into 1/2 134.156 * [taylor]: Taking taylor expansion of phi2 in phi2 134.156 * [backup-simplify]: Simplify 0 into 0 134.156 * [backup-simplify]: Simplify 1 into 1 134.157 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.157 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 134.157 * [backup-simplify]: Simplify 1 into 1 134.157 * [backup-simplify]: Simplify (+ 0) into 0 134.158 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 134.158 * [backup-simplify]: Simplify (+ 1 0) into 1 134.158 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 134.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 134.159 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 134.159 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 134.159 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 134.159 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 134.159 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 134.159 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.159 * [backup-simplify]: Simplify 1/2 into 1/2 134.159 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 134.159 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 134.159 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.159 * [backup-simplify]: Simplify 1/2 into 1/2 134.159 * [taylor]: Taking taylor expansion of phi2 in phi2 134.159 * [backup-simplify]: Simplify 0 into 0 134.159 * [backup-simplify]: Simplify 1 into 1 134.160 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.160 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 134.160 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.161 * [backup-simplify]: Simplify (- 0) into 0 134.161 * [backup-simplify]: Simplify 0 into 0 134.161 * [backup-simplify]: Simplify (+ 0) into 0 134.161 * [backup-simplify]: Simplify 0 into 0 134.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 134.166 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 134.167 * [backup-simplify]: Simplify (+ 0 0) into 0 134.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 134.168 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 134.168 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 134.169 * [backup-simplify]: Simplify (- 0) into 0 134.169 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 134.169 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 134.169 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 134.169 * [taylor]: Taking taylor expansion of 1/8 in phi2 134.169 * [backup-simplify]: Simplify 1/8 into 1/8 134.169 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 134.169 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 134.169 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.169 * [backup-simplify]: Simplify 1/2 into 1/2 134.169 * [taylor]: Taking taylor expansion of phi2 in phi2 134.169 * [backup-simplify]: Simplify 0 into 0 134.169 * [backup-simplify]: Simplify 1 into 1 134.169 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.170 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 134.170 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 134.170 * [backup-simplify]: Simplify (- 1/8) into -1/8 134.170 * [backup-simplify]: Simplify -1/8 into -1/8 134.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 134.171 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 134.172 * [backup-simplify]: Simplify (- 1/4) into -1/4 134.172 * [backup-simplify]: Simplify -1/4 into -1/4 134.172 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 134.172 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.172 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 134.172 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.172 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.172 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.172 * [backup-simplify]: Simplify 1/2 into 1/2 134.172 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.172 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.172 * [taylor]: Taking taylor expansion of phi1 in phi2 134.172 * [backup-simplify]: Simplify phi1 into phi1 134.172 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.172 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.172 * [taylor]: Taking taylor expansion of phi2 in phi2 134.172 * [backup-simplify]: Simplify 0 into 0 134.172 * [backup-simplify]: Simplify 1 into 1 134.172 * [backup-simplify]: Simplify (/ 1 1) into 1 134.173 * [backup-simplify]: Simplify (+ 0 1) into 1 134.173 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.173 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.173 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.173 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.173 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.173 * [backup-simplify]: Simplify 1/2 into 1/2 134.173 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.173 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.173 * [taylor]: Taking taylor expansion of phi1 in phi1 134.173 * [backup-simplify]: Simplify 0 into 0 134.173 * [backup-simplify]: Simplify 1 into 1 134.174 * [backup-simplify]: Simplify (/ 1 1) into 1 134.174 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.174 * [taylor]: Taking taylor expansion of phi2 in phi1 134.174 * [backup-simplify]: Simplify phi2 into phi2 134.174 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.174 * [backup-simplify]: Simplify (+ 1 0) into 1 134.174 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.174 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.174 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.174 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.174 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.174 * [backup-simplify]: Simplify 1/2 into 1/2 134.174 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.174 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.175 * [taylor]: Taking taylor expansion of phi1 in phi1 134.175 * [backup-simplify]: Simplify 0 into 0 134.175 * [backup-simplify]: Simplify 1 into 1 134.175 * [backup-simplify]: Simplify (/ 1 1) into 1 134.175 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.175 * [taylor]: Taking taylor expansion of phi2 in phi1 134.175 * [backup-simplify]: Simplify phi2 into phi2 134.175 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.175 * [backup-simplify]: Simplify (+ 1 0) into 1 134.175 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.176 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.176 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.176 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.176 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.176 * [backup-simplify]: Simplify 1/2 into 1/2 134.176 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.176 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.176 * [taylor]: Taking taylor expansion of phi1 in phi2 134.176 * [backup-simplify]: Simplify phi1 into phi1 134.176 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.176 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.176 * [taylor]: Taking taylor expansion of phi2 in phi2 134.176 * [backup-simplify]: Simplify 0 into 0 134.176 * [backup-simplify]: Simplify 1 into 1 134.176 * [backup-simplify]: Simplify (/ 1 1) into 1 134.177 * [backup-simplify]: Simplify (+ 0 1) into 1 134.177 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.177 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.177 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.177 * [taylor]: Taking taylor expansion of 0 in phi2 134.177 * [backup-simplify]: Simplify 0 into 0 134.177 * [backup-simplify]: Simplify 0 into 0 134.177 * [backup-simplify]: Simplify 0 into 0 134.177 * [taylor]: Taking taylor expansion of 0 in phi2 134.177 * [backup-simplify]: Simplify 0 into 0 134.178 * [backup-simplify]: Simplify 0 into 0 134.178 * [backup-simplify]: Simplify 0 into 0 134.178 * [backup-simplify]: Simplify 0 into 0 134.178 * [taylor]: Taking taylor expansion of 0 in phi2 134.178 * [backup-simplify]: Simplify 0 into 0 134.178 * [backup-simplify]: Simplify 0 into 0 134.178 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 134.178 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.178 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 134.178 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.178 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.178 * [taylor]: Taking taylor expansion of -1/2 in phi2 134.178 * [backup-simplify]: Simplify -1/2 into -1/2 134.178 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.178 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.178 * [taylor]: Taking taylor expansion of phi1 in phi2 134.178 * [backup-simplify]: Simplify phi1 into phi1 134.178 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.178 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.178 * [taylor]: Taking taylor expansion of phi2 in phi2 134.178 * [backup-simplify]: Simplify 0 into 0 134.178 * [backup-simplify]: Simplify 1 into 1 134.179 * [backup-simplify]: Simplify (/ 1 1) into 1 134.179 * [backup-simplify]: Simplify (+ 0 1) into 1 134.180 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.180 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.180 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.180 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.180 * [taylor]: Taking taylor expansion of -1/2 in phi1 134.180 * [backup-simplify]: Simplify -1/2 into -1/2 134.180 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.180 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.180 * [taylor]: Taking taylor expansion of phi1 in phi1 134.180 * [backup-simplify]: Simplify 0 into 0 134.180 * [backup-simplify]: Simplify 1 into 1 134.181 * [backup-simplify]: Simplify (/ 1 1) into 1 134.181 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.181 * [taylor]: Taking taylor expansion of phi2 in phi1 134.181 * [backup-simplify]: Simplify phi2 into phi2 134.181 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.183 * [backup-simplify]: Simplify (+ 1 0) into 1 134.183 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.183 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.183 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.183 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.183 * [taylor]: Taking taylor expansion of -1/2 in phi1 134.183 * [backup-simplify]: Simplify -1/2 into -1/2 134.183 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.183 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.183 * [taylor]: Taking taylor expansion of phi1 in phi1 134.183 * [backup-simplify]: Simplify 0 into 0 134.184 * [backup-simplify]: Simplify 1 into 1 134.184 * [backup-simplify]: Simplify (/ 1 1) into 1 134.184 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.184 * [taylor]: Taking taylor expansion of phi2 in phi1 134.184 * [backup-simplify]: Simplify phi2 into phi2 134.184 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.185 * [backup-simplify]: Simplify (+ 1 0) into 1 134.185 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.185 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.185 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.185 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.186 * [taylor]: Taking taylor expansion of -1/2 in phi2 134.186 * [backup-simplify]: Simplify -1/2 into -1/2 134.186 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.186 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.186 * [taylor]: Taking taylor expansion of phi1 in phi2 134.186 * [backup-simplify]: Simplify phi1 into phi1 134.186 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.186 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.186 * [taylor]: Taking taylor expansion of phi2 in phi2 134.186 * [backup-simplify]: Simplify 0 into 0 134.186 * [backup-simplify]: Simplify 1 into 1 134.186 * [backup-simplify]: Simplify (/ 1 1) into 1 134.187 * [backup-simplify]: Simplify (+ 0 1) into 1 134.187 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.187 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.187 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.187 * [taylor]: Taking taylor expansion of 0 in phi2 134.187 * [backup-simplify]: Simplify 0 into 0 134.187 * [backup-simplify]: Simplify 0 into 0 134.188 * [backup-simplify]: Simplify 0 into 0 134.188 * [taylor]: Taking taylor expansion of 0 in phi2 134.188 * [backup-simplify]: Simplify 0 into 0 134.188 * [backup-simplify]: Simplify 0 into 0 134.188 * [backup-simplify]: Simplify 0 into 0 134.188 * [backup-simplify]: Simplify 0 into 0 134.188 * [taylor]: Taking taylor expansion of 0 in phi2 134.188 * [backup-simplify]: Simplify 0 into 0 134.188 * [backup-simplify]: Simplify 0 into 0 134.188 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 134.188 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2 1 1 2 1 2 1) 134.188 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 134.188 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 134.188 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 134.188 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 134.188 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.188 * [backup-simplify]: Simplify 1/2 into 1/2 134.188 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 134.188 * [taylor]: Taking taylor expansion of phi1 in phi2 134.188 * [backup-simplify]: Simplify phi1 into phi1 134.188 * [taylor]: Taking taylor expansion of phi2 in phi2 134.188 * [backup-simplify]: Simplify 0 into 0 134.188 * [backup-simplify]: Simplify 1 into 1 134.189 * [backup-simplify]: Simplify (+ phi1 0) into phi1 134.189 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 134.189 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 134.189 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 134.189 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 134.189 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 134.189 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.189 * [backup-simplify]: Simplify 1/2 into 1/2 134.189 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 134.189 * [taylor]: Taking taylor expansion of phi1 in phi1 134.189 * [backup-simplify]: Simplify 0 into 0 134.189 * [backup-simplify]: Simplify 1 into 1 134.189 * [taylor]: Taking taylor expansion of phi2 in phi1 134.189 * [backup-simplify]: Simplify phi2 into phi2 134.189 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 134.189 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 134.189 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 134.189 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 134.189 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 134.189 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 134.189 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.190 * [backup-simplify]: Simplify 1/2 into 1/2 134.190 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 134.190 * [taylor]: Taking taylor expansion of phi1 in phi1 134.190 * [backup-simplify]: Simplify 0 into 0 134.190 * [backup-simplify]: Simplify 1 into 1 134.190 * [taylor]: Taking taylor expansion of phi2 in phi1 134.190 * [backup-simplify]: Simplify phi2 into phi2 134.190 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 134.190 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 134.190 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 134.190 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 134.190 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 134.190 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 134.191 * [backup-simplify]: Simplify (- 0) into 0 134.191 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 134.191 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 134.191 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 134.191 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.191 * [backup-simplify]: Simplify 1/2 into 1/2 134.191 * [taylor]: Taking taylor expansion of phi2 in phi2 134.191 * [backup-simplify]: Simplify 0 into 0 134.191 * [backup-simplify]: Simplify 1 into 1 134.191 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.192 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 134.192 * [backup-simplify]: Simplify 1 into 1 134.192 * [backup-simplify]: Simplify (+ 0) into 0 134.193 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 134.193 * [backup-simplify]: Simplify (+ 1 0) into 1 134.194 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 134.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 134.195 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 134.195 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 134.195 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 134.195 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 134.195 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 134.196 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.196 * [backup-simplify]: Simplify 1/2 into 1/2 134.196 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 134.196 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 134.196 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.196 * [backup-simplify]: Simplify 1/2 into 1/2 134.196 * [taylor]: Taking taylor expansion of phi2 in phi2 134.196 * [backup-simplify]: Simplify 0 into 0 134.196 * [backup-simplify]: Simplify 1 into 1 134.196 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.197 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 134.197 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.198 * [backup-simplify]: Simplify (- 0) into 0 134.198 * [backup-simplify]: Simplify 0 into 0 134.198 * [backup-simplify]: Simplify (+ 0) into 0 134.198 * [backup-simplify]: Simplify 0 into 0 134.199 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 134.200 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 134.200 * [backup-simplify]: Simplify (+ 0 0) into 0 134.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 134.202 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 134.203 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 134.203 * [backup-simplify]: Simplify (- 0) into 0 134.203 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 134.203 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 134.203 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 134.203 * [taylor]: Taking taylor expansion of 1/8 in phi2 134.203 * [backup-simplify]: Simplify 1/8 into 1/8 134.203 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 134.203 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 134.203 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.203 * [backup-simplify]: Simplify 1/2 into 1/2 134.203 * [taylor]: Taking taylor expansion of phi2 in phi2 134.204 * [backup-simplify]: Simplify 0 into 0 134.204 * [backup-simplify]: Simplify 1 into 1 134.204 * [backup-simplify]: Simplify (* 1/2 0) into 0 134.205 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 134.205 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 134.206 * [backup-simplify]: Simplify (- 1/8) into -1/8 134.206 * [backup-simplify]: Simplify -1/8 into -1/8 134.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 134.207 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 134.207 * [backup-simplify]: Simplify (- 1/4) into -1/4 134.207 * [backup-simplify]: Simplify -1/4 into -1/4 134.208 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 134.208 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.208 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 134.208 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.208 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.208 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.208 * [backup-simplify]: Simplify 1/2 into 1/2 134.208 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.208 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.208 * [taylor]: Taking taylor expansion of phi1 in phi2 134.208 * [backup-simplify]: Simplify phi1 into phi1 134.208 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.208 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.208 * [taylor]: Taking taylor expansion of phi2 in phi2 134.208 * [backup-simplify]: Simplify 0 into 0 134.208 * [backup-simplify]: Simplify 1 into 1 134.209 * [backup-simplify]: Simplify (/ 1 1) into 1 134.209 * [backup-simplify]: Simplify (+ 0 1) into 1 134.210 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.210 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.210 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.210 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.210 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.210 * [backup-simplify]: Simplify 1/2 into 1/2 134.210 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.210 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.210 * [taylor]: Taking taylor expansion of phi1 in phi1 134.210 * [backup-simplify]: Simplify 0 into 0 134.210 * [backup-simplify]: Simplify 1 into 1 134.210 * [backup-simplify]: Simplify (/ 1 1) into 1 134.210 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.210 * [taylor]: Taking taylor expansion of phi2 in phi1 134.210 * [backup-simplify]: Simplify phi2 into phi2 134.211 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.211 * [backup-simplify]: Simplify (+ 1 0) into 1 134.211 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.212 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.212 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.212 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.212 * [taylor]: Taking taylor expansion of 1/2 in phi1 134.212 * [backup-simplify]: Simplify 1/2 into 1/2 134.212 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.212 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.212 * [taylor]: Taking taylor expansion of phi1 in phi1 134.212 * [backup-simplify]: Simplify 0 into 0 134.212 * [backup-simplify]: Simplify 1 into 1 134.212 * [backup-simplify]: Simplify (/ 1 1) into 1 134.212 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.212 * [taylor]: Taking taylor expansion of phi2 in phi1 134.212 * [backup-simplify]: Simplify phi2 into phi2 134.212 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.213 * [backup-simplify]: Simplify (+ 1 0) into 1 134.213 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.213 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.213 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.214 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.214 * [taylor]: Taking taylor expansion of 1/2 in phi2 134.214 * [backup-simplify]: Simplify 1/2 into 1/2 134.214 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.214 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.214 * [taylor]: Taking taylor expansion of phi1 in phi2 134.214 * [backup-simplify]: Simplify phi1 into phi1 134.214 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.214 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.214 * [taylor]: Taking taylor expansion of phi2 in phi2 134.214 * [backup-simplify]: Simplify 0 into 0 134.214 * [backup-simplify]: Simplify 1 into 1 134.214 * [backup-simplify]: Simplify (/ 1 1) into 1 134.215 * [backup-simplify]: Simplify (+ 0 1) into 1 134.215 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 134.215 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.215 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.215 * [taylor]: Taking taylor expansion of 0 in phi2 134.215 * [backup-simplify]: Simplify 0 into 0 134.215 * [backup-simplify]: Simplify 0 into 0 134.216 * [backup-simplify]: Simplify 0 into 0 134.216 * [taylor]: Taking taylor expansion of 0 in phi2 134.216 * [backup-simplify]: Simplify 0 into 0 134.216 * [backup-simplify]: Simplify 0 into 0 134.216 * [backup-simplify]: Simplify 0 into 0 134.216 * [backup-simplify]: Simplify 0 into 0 134.216 * [taylor]: Taking taylor expansion of 0 in phi2 134.216 * [backup-simplify]: Simplify 0 into 0 134.216 * [backup-simplify]: Simplify 0 into 0 134.216 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 134.216 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.216 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 134.216 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.216 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.216 * [taylor]: Taking taylor expansion of -1/2 in phi2 134.216 * [backup-simplify]: Simplify -1/2 into -1/2 134.216 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.216 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.216 * [taylor]: Taking taylor expansion of phi1 in phi2 134.216 * [backup-simplify]: Simplify phi1 into phi1 134.216 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.216 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.217 * [taylor]: Taking taylor expansion of phi2 in phi2 134.217 * [backup-simplify]: Simplify 0 into 0 134.217 * [backup-simplify]: Simplify 1 into 1 134.217 * [backup-simplify]: Simplify (/ 1 1) into 1 134.217 * [backup-simplify]: Simplify (+ 0 1) into 1 134.218 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.218 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.218 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.218 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.218 * [taylor]: Taking taylor expansion of -1/2 in phi1 134.218 * [backup-simplify]: Simplify -1/2 into -1/2 134.218 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.218 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.218 * [taylor]: Taking taylor expansion of phi1 in phi1 134.218 * [backup-simplify]: Simplify 0 into 0 134.218 * [backup-simplify]: Simplify 1 into 1 134.219 * [backup-simplify]: Simplify (/ 1 1) into 1 134.219 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.219 * [taylor]: Taking taylor expansion of phi2 in phi1 134.219 * [backup-simplify]: Simplify phi2 into phi2 134.219 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.219 * [backup-simplify]: Simplify (+ 1 0) into 1 134.220 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.220 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.220 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 134.220 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 134.220 * [taylor]: Taking taylor expansion of -1/2 in phi1 134.220 * [backup-simplify]: Simplify -1/2 into -1/2 134.220 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 134.220 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 134.220 * [taylor]: Taking taylor expansion of phi1 in phi1 134.220 * [backup-simplify]: Simplify 0 into 0 134.220 * [backup-simplify]: Simplify 1 into 1 134.220 * [backup-simplify]: Simplify (/ 1 1) into 1 134.220 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 134.220 * [taylor]: Taking taylor expansion of phi2 in phi1 134.220 * [backup-simplify]: Simplify phi2 into phi2 134.221 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 134.221 * [backup-simplify]: Simplify (+ 1 0) into 1 134.221 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.222 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.222 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 134.222 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 134.222 * [taylor]: Taking taylor expansion of -1/2 in phi2 134.222 * [backup-simplify]: Simplify -1/2 into -1/2 134.222 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 134.222 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 134.222 * [taylor]: Taking taylor expansion of phi1 in phi2 134.222 * [backup-simplify]: Simplify phi1 into phi1 134.222 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 134.222 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 134.222 * [taylor]: Taking taylor expansion of phi2 in phi2 134.222 * [backup-simplify]: Simplify 0 into 0 134.222 * [backup-simplify]: Simplify 1 into 1 134.222 * [backup-simplify]: Simplify (/ 1 1) into 1 134.223 * [backup-simplify]: Simplify (+ 0 1) into 1 134.223 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 134.223 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.224 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 134.224 * [taylor]: Taking taylor expansion of 0 in phi2 134.224 * [backup-simplify]: Simplify 0 into 0 134.224 * [backup-simplify]: Simplify 0 into 0 134.224 * [backup-simplify]: Simplify 0 into 0 134.224 * [taylor]: Taking taylor expansion of 0 in phi2 134.224 * [backup-simplify]: Simplify 0 into 0 134.224 * [backup-simplify]: Simplify 0 into 0 134.224 * [backup-simplify]: Simplify 0 into 0 134.224 * [backup-simplify]: Simplify 0 into 0 134.224 * [taylor]: Taking taylor expansion of 0 in phi2 134.224 * [backup-simplify]: Simplify 0 into 0 134.224 * [backup-simplify]: Simplify 0 into 0 134.224 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 134.224 * * * [progress]: simplifying candidates 134.224 * * * * [progress]: [ 1 / 116 ] simplifiying candidate # 134.224 * * * * [progress]: [ 2 / 116 ] simplifiying candidate # 134.225 * * * * [progress]: [ 3 / 116 ] simplifiying candidate # 134.225 * * * * [progress]: [ 4 / 116 ] simplifiying candidate # 134.225 * * * * [progress]: [ 5 / 116 ] simplifiying candidate # 134.225 * * * * [progress]: [ 6 / 116 ] simplifiying candidate # 134.225 * * * * [progress]: [ 7 / 116 ] simplifiying candidate # 134.225 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 134.225 * * [simplify]: iters left: 6 (24 enodes) 134.231 * * [simplify]: iters left: 5 (92 enodes) 134.247 * * [simplify]: iters left: 4 (159 enodes) 134.312 * * [simplify]: Extracting #0: cost 1 inf + 0 134.312 * * [simplify]: Extracting #1: cost 4 inf + 0 134.312 * * [simplify]: Extracting #2: cost 7 inf + 0 134.312 * * [simplify]: Extracting #3: cost 14 inf + 0 134.312 * * [simplify]: Extracting #4: cost 59 inf + 0 134.312 * * [simplify]: Extracting #5: cost 132 inf + 1 134.313 * * [simplify]: Extracting #6: cost 180 inf + 416 134.315 * * [simplify]: Extracting #7: cost 146 inf + 10619 134.322 * * [simplify]: Extracting #8: cost 38 inf + 45755 134.333 * * [simplify]: Extracting #9: cost 0 inf + 60918 134.344 * [simplify]: Simplified to (fabs (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2))))) 134.344 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 134.345 * * * * [progress]: [ 8 / 116 ] simplifiying candidate # 134.345 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) 134.345 * * [simplify]: iters left: 6 (23 enodes) 134.351 * * [simplify]: iters left: 5 (88 enodes) 134.375 * * [simplify]: iters left: 4 (155 enodes) 134.434 * * [simplify]: iters left: 3 (498 enodes) 134.773 * * [simplify]: Extracting #0: cost 1 inf + 0 134.773 * * [simplify]: Extracting #1: cost 3 inf + 0 134.773 * * [simplify]: Extracting #2: cost 5 inf + 0 134.773 * * [simplify]: Extracting #3: cost 22 inf + 0 134.773 * * [simplify]: Extracting #4: cost 173 inf + 0 134.774 * * [simplify]: Extracting #5: cost 332 inf + 85 134.776 * * [simplify]: Extracting #6: cost 343 inf + 1688 134.778 * * [simplify]: Extracting #7: cost 326 inf + 7846 134.789 * * [simplify]: Extracting #8: cost 167 inf + 66830 134.834 * * [simplify]: Extracting #9: cost 7 inf + 143942 134.884 * * [simplify]: Extracting #10: cost 0 inf + 147313 134.919 * [simplify]: Simplified to (sqrt (sqrt (+ (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2))))) 134.919 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 134.919 * * * * [progress]: [ 9 / 116 ] simplifiying candidate # 134.920 * [simplify]: Simplifying (sqrt 1) 134.920 * * [simplify]: iters left: 1 (2 enodes) 134.923 * * [simplify]: Extracting #0: cost 1 inf + 0 134.923 * * [simplify]: Extracting #1: cost 0 inf + 1 134.923 * [simplify]: Simplified to 1 134.923 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))) 134.924 * * * * [progress]: [ 10 / 116 ] simplifiying candidate # 134.924 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 134.925 * * [simplify]: iters left: 6 (41 enodes) 134.947 * * [simplify]: iters left: 5 (197 enodes) 135.037 * * [simplify]: Extracting #0: cost 1 inf + 0 135.037 * * [simplify]: Extracting #1: cost 3 inf + 0 135.037 * * [simplify]: Extracting #2: cost 6 inf + 0 135.037 * * [simplify]: Extracting #3: cost 57 inf + 0 135.038 * * [simplify]: Extracting #4: cost 160 inf + 0 135.040 * * [simplify]: Extracting #5: cost 241 inf + 0 135.042 * * [simplify]: Extracting #6: cost 226 inf + 6470 135.050 * * [simplify]: Extracting #7: cost 119 inf + 30897 135.066 * * [simplify]: Extracting #8: cost 29 inf + 68539 135.084 * * [simplify]: Extracting #9: cost 3 inf + 92724 135.105 * * [simplify]: Extracting #10: cost 0 inf + 96439 135.147 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))))))) 135.147 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 135.148 * * * * [progress]: [ 11 / 116 ] simplifiying candidate # 135.149 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 135.150 * * [simplify]: iters left: 6 (42 enodes) 135.172 * * [simplify]: iters left: 5 (204 enodes) 135.264 * * [simplify]: Extracting #0: cost 1 inf + 0 135.264 * * [simplify]: Extracting #1: cost 3 inf + 0 135.264 * * [simplify]: Extracting #2: cost 6 inf + 0 135.264 * * [simplify]: Extracting #3: cost 58 inf + 0 135.265 * * [simplify]: Extracting #4: cost 176 inf + 0 135.266 * * [simplify]: Extracting #5: cost 245 inf + 209 135.268 * * [simplify]: Extracting #6: cost 222 inf + 6064 135.276 * * [simplify]: Extracting #7: cost 118 inf + 29137 135.295 * * [simplify]: Extracting #8: cost 52 inf + 50600 135.311 * * [simplify]: Extracting #9: cost 12 inf + 84292 135.337 * * [simplify]: Extracting #10: cost 0 inf + 95392 135.364 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 135.364 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 135.365 * * * * [progress]: [ 12 / 116 ] simplifiying candidate # 135.365 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 135.365 * * [simplify]: iters left: 6 (42 enodes) 135.377 * * [simplify]: iters left: 5 (204 enodes) 135.457 * * [simplify]: Extracting #0: cost 1 inf + 0 135.457 * * [simplify]: Extracting #1: cost 3 inf + 0 135.457 * * [simplify]: Extracting #2: cost 6 inf + 0 135.457 * * [simplify]: Extracting #3: cost 60 inf + 0 135.457 * * [simplify]: Extracting #4: cost 174 inf + 0 135.458 * * [simplify]: Extracting #5: cost 243 inf + 126 135.460 * * [simplify]: Extracting #6: cost 207 inf + 10515 135.465 * * [simplify]: Extracting #7: cost 100 inf + 38362 135.483 * * [simplify]: Extracting #8: cost 21 inf + 76748 135.512 * * [simplify]: Extracting #9: cost 0 inf + 92944 135.533 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 135.533 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 135.534 * * * * [progress]: [ 13 / 116 ] simplifiying candidate # 135.534 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 135.535 * * [simplify]: iters left: 6 (36 enodes) 135.561 * * [simplify]: iters left: 5 (170 enodes) 135.634 * * [simplify]: iters left: 4 (499 enodes) 135.922 * * [simplify]: Extracting #0: cost 1 inf + 0 135.923 * * [simplify]: Extracting #1: cost 3 inf + 0 135.923 * * [simplify]: Extracting #2: cost 20 inf + 0 135.923 * * [simplify]: Extracting #3: cost 307 inf + 0 135.926 * * [simplify]: Extracting #4: cost 807 inf + 415 135.932 * * [simplify]: Extracting #5: cost 872 inf + 19032 135.956 * * [simplify]: Extracting #6: cost 562 inf + 110848 135.988 * * [simplify]: Extracting #7: cost 446 inf + 151313 136.069 * * [simplify]: Extracting #8: cost 273 inf + 216397 136.152 * * [simplify]: Extracting #9: cost 136 inf + 291237 136.276 * * [simplify]: Extracting #10: cost 5 inf + 374674 136.397 * * [simplify]: Extracting #11: cost 0 inf + 377918 136.505 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (+ phi2 phi1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 136.505 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (+ phi2 phi1)))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (+ phi2 phi1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 136.505 * * * * [progress]: [ 14 / 116 ] simplifiying candidate # 136.506 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 136.506 * * [simplify]: iters left: 6 (41 enodes) 136.527 * * [simplify]: iters left: 5 (196 enodes) 136.621 * * [simplify]: Extracting #0: cost 1 inf + 0 136.621 * * [simplify]: Extracting #1: cost 3 inf + 0 136.621 * * [simplify]: Extracting #2: cost 10 inf + 0 136.622 * * [simplify]: Extracting #3: cost 76 inf + 0 136.622 * * [simplify]: Extracting #4: cost 163 inf + 1 136.624 * * [simplify]: Extracting #5: cost 219 inf + 85 136.627 * * [simplify]: Extracting #6: cost 178 inf + 15892 136.635 * * [simplify]: Extracting #7: cost 92 inf + 35903 136.657 * * [simplify]: Extracting #8: cost 17 inf + 83716 136.688 * * [simplify]: Extracting #9: cost 0 inf + 90258 136.721 * * [simplify]: Extracting #10: cost 0 inf + 88124 137.091 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cbrt (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) 137.091 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cbrt (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 137.092 * * * * [progress]: [ 15 / 116 ] simplifiying candidate # 137.093 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 137.093 * * [simplify]: iters left: 6 (36 enodes) 137.107 * * [simplify]: iters left: 5 (168 enodes) 137.150 * * [simplify]: iters left: 4 (475 enodes) 137.425 * * [simplify]: Extracting #0: cost 1 inf + 0 137.425 * * [simplify]: Extracting #1: cost 3 inf + 0 137.425 * * [simplify]: Extracting #2: cost 15 inf + 0 137.425 * * [simplify]: Extracting #3: cost 240 inf + 0 137.427 * * [simplify]: Extracting #4: cost 650 inf + 86 137.431 * * [simplify]: Extracting #5: cost 817 inf + 17248 137.466 * * [simplify]: Extracting #6: cost 566 inf + 89291 137.502 * * [simplify]: Extracting #7: cost 416 inf + 133809 137.546 * * [simplify]: Extracting #8: cost 269 inf + 182610 137.615 * * [simplify]: Extracting #9: cost 123 inf + 255910 137.692 * * [simplify]: Extracting #10: cost 8 inf + 333487 137.799 * * [simplify]: Extracting #11: cost 0 inf + 339748 137.889 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi2 phi1)))) 137.889 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 137.890 * * * * [progress]: [ 16 / 116 ] simplifiying candidate # 137.890 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 137.890 * * [simplify]: iters left: 6 (41 enodes) 137.911 * * [simplify]: iters left: 5 (196 enodes) 137.987 * * [simplify]: Extracting #0: cost 1 inf + 0 137.987 * * [simplify]: Extracting #1: cost 3 inf + 0 137.988 * * [simplify]: Extracting #2: cost 10 inf + 0 137.988 * * [simplify]: Extracting #3: cost 76 inf + 0 137.989 * * [simplify]: Extracting #4: cost 163 inf + 1 137.990 * * [simplify]: Extracting #5: cost 218 inf + 126 137.993 * * [simplify]: Extracting #6: cost 189 inf + 13449 138.001 * * [simplify]: Extracting #7: cost 89 inf + 36798 138.023 * * [simplify]: Extracting #8: cost 17 inf + 84697 138.056 * * [simplify]: Extracting #9: cost 0 inf + 90767 138.094 * * [simplify]: Extracting #10: cost 0 inf + 88764 138.113 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cbrt (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 138.113 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cbrt (* (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 138.113 * * * * [progress]: [ 17 / 116 ] simplifiying candidate # 138.114 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 138.114 * * [simplify]: iters left: 6 (36 enodes) 138.125 * * [simplify]: iters left: 5 (168 enodes) 138.197 * * [simplify]: iters left: 4 (475 enodes) 138.511 * * [simplify]: Extracting #0: cost 1 inf + 0 138.511 * * [simplify]: Extracting #1: cost 3 inf + 0 138.511 * * [simplify]: Extracting #2: cost 15 inf + 0 138.512 * * [simplify]: Extracting #3: cost 237 inf + 0 138.515 * * [simplify]: Extracting #4: cost 653 inf + 86 138.530 * * [simplify]: Extracting #5: cost 833 inf + 12471 138.563 * * [simplify]: Extracting #6: cost 571 inf + 87454 138.615 * * [simplify]: Extracting #7: cost 417 inf + 131586 138.673 * * [simplify]: Extracting #8: cost 263 inf + 184626 138.745 * * [simplify]: Extracting #9: cost 136 inf + 246977 138.823 * * [simplify]: Extracting #10: cost 11 inf + 331954 138.935 * * [simplify]: Extracting #11: cost 0 inf + 339626 139.019 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi2 phi1)))) 139.019 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 139.019 * * * * [progress]: [ 18 / 116 ] simplifiying candidate # 139.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 139.020 * * [simplify]: iters left: 6 (43 enodes) 139.035 * * [simplify]: iters left: 5 (205 enodes) 139.095 * * [simplify]: Extracting #0: cost 1 inf + 0 139.095 * * [simplify]: Extracting #1: cost 3 inf + 0 139.095 * * [simplify]: Extracting #2: cost 6 inf + 0 139.095 * * [simplify]: Extracting #3: cost 57 inf + 0 139.096 * * [simplify]: Extracting #4: cost 171 inf + 0 139.097 * * [simplify]: Extracting #5: cost 245 inf + 2 139.099 * * [simplify]: Extracting #6: cost 214 inf + 9094 139.106 * * [simplify]: Extracting #7: cost 141 inf + 20184 139.120 * * [simplify]: Extracting #8: cost 63 inf + 45883 139.152 * * [simplify]: Extracting #9: cost 5 inf + 96765 139.189 * * [simplify]: Extracting #10: cost 1 inf + 95861 139.210 * * [simplify]: Extracting #11: cost 0 inf + 96973 139.240 * * [simplify]: Extracting #12: cost 0 inf + 96842 139.268 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))))) 139.268 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 139.268 * * * * [progress]: [ 19 / 116 ] simplifiying candidate # 139.269 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 139.269 * * [simplify]: iters left: 6 (44 enodes) 139.282 * * [simplify]: iters left: 5 (214 enodes) 139.349 * * [simplify]: Extracting #0: cost 1 inf + 0 139.349 * * [simplify]: Extracting #1: cost 3 inf + 0 139.349 * * [simplify]: Extracting #2: cost 6 inf + 0 139.349 * * [simplify]: Extracting #3: cost 61 inf + 0 139.349 * * [simplify]: Extracting #4: cost 194 inf + 0 139.350 * * [simplify]: Extracting #5: cost 249 inf + 621 139.352 * * [simplify]: Extracting #6: cost 181 inf + 10050 139.360 * * [simplify]: Extracting #7: cost 121 inf + 27220 139.374 * * [simplify]: Extracting #8: cost 59 inf + 50397 139.409 * * [simplify]: Extracting #9: cost 2 inf + 96409 139.449 * * [simplify]: Extracting #10: cost 0 inf + 98979 139.477 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) 139.477 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 139.477 * * * * [progress]: [ 20 / 116 ] simplifiying candidate # 139.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 139.478 * * [simplify]: iters left: 6 (44 enodes) 139.490 * * [simplify]: iters left: 5 (214 enodes) 139.576 * * [simplify]: Extracting #0: cost 1 inf + 0 139.576 * * [simplify]: Extracting #1: cost 3 inf + 0 139.576 * * [simplify]: Extracting #2: cost 6 inf + 0 139.577 * * [simplify]: Extracting #3: cost 63 inf + 0 139.577 * * [simplify]: Extracting #4: cost 192 inf + 0 139.579 * * [simplify]: Extracting #5: cost 250 inf + 413 139.582 * * [simplify]: Extracting #6: cost 188 inf + 9990 139.592 * * [simplify]: Extracting #7: cost 113 inf + 29419 139.608 * * [simplify]: Extracting #8: cost 56 inf + 53039 139.635 * * [simplify]: Extracting #9: cost 2 inf + 100249 139.654 * * [simplify]: Extracting #10: cost 0 inf + 96793 139.688 * * [simplify]: Extracting #11: cost 0 inf + 96531 139.709 * [simplify]: Simplified to (sqrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))) 139.709 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ lambda2 lambda1)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 139.709 * * * * [progress]: [ 21 / 116 ] simplifiying candidate # 139.709 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 139.710 * * [simplify]: iters left: 6 (38 enodes) 139.721 * * [simplify]: iters left: 5 (178 enodes) 139.777 * * [simplify]: Extracting #0: cost 1 inf + 0 139.777 * * [simplify]: Extracting #1: cost 3 inf + 0 139.777 * * [simplify]: Extracting #2: cost 6 inf + 0 139.777 * * [simplify]: Extracting #3: cost 55 inf + 0 139.778 * * [simplify]: Extracting #4: cost 160 inf + 0 139.778 * * [simplify]: Extracting #5: cost 202 inf + 170 139.780 * * [simplify]: Extracting #6: cost 159 inf + 9180 139.784 * * [simplify]: Extracting #7: cost 77 inf + 29413 139.795 * * [simplify]: Extracting #8: cost 43 inf + 40947 139.821 * * [simplify]: Extracting #9: cost 11 inf + 64395 139.838 * * [simplify]: Extracting #10: cost 0 inf + 74670 139.855 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 139.855 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 139.856 * * * * [progress]: [ 22 / 116 ] simplifiying candidate # 139.857 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 139.857 * * [simplify]: iters left: 6 (43 enodes) 139.875 * * [simplify]: iters left: 5 (206 enodes) 139.958 * * [simplify]: Extracting #0: cost 1 inf + 0 139.958 * * [simplify]: Extracting #1: cost 3 inf + 0 139.958 * * [simplify]: Extracting #2: cost 10 inf + 0 139.959 * * [simplify]: Extracting #3: cost 79 inf + 0 139.959 * * [simplify]: Extracting #4: cost 181 inf + 1 139.961 * * [simplify]: Extracting #5: cost 228 inf + 170 139.964 * * [simplify]: Extracting #6: cost 175 inf + 13972 139.973 * * [simplify]: Extracting #7: cost 100 inf + 34746 139.986 * * [simplify]: Extracting #8: cost 53 inf + 47380 140.011 * * [simplify]: Extracting #9: cost 8 inf + 85664 140.046 * * [simplify]: Extracting #10: cost 0 inf + 91079 140.067 * * [simplify]: Extracting #11: cost 0 inf + 90031 140.092 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) 140.092 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 140.093 * * * * [progress]: [ 23 / 116 ] simplifiying candidate # 140.093 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 140.093 * * [simplify]: iters left: 6 (38 enodes) 140.114 * * [simplify]: iters left: 5 (178 enodes) 140.183 * * [simplify]: iters left: 4 (499 enodes) 140.529 * * [simplify]: Extracting #0: cost 1 inf + 0 140.529 * * [simplify]: Extracting #1: cost 3 inf + 0 140.529 * * [simplify]: Extracting #2: cost 16 inf + 0 140.530 * * [simplify]: Extracting #3: cost 272 inf + 0 140.532 * * [simplify]: Extracting #4: cost 754 inf + 45 140.536 * * [simplify]: Extracting #5: cost 874 inf + 7268 140.548 * * [simplify]: Extracting #6: cost 678 inf + 53155 140.582 * * [simplify]: Extracting #7: cost 417 inf + 134246 140.627 * * [simplify]: Extracting #8: cost 264 inf + 192694 140.709 * * [simplify]: Extracting #9: cost 52 inf + 312637 140.818 * * [simplify]: Extracting #10: cost 0 inf + 348656 140.948 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2)))))) 140.948 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 140.949 * * * * [progress]: [ 24 / 116 ] simplifiying candidate # 140.949 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 140.949 * * [simplify]: iters left: 6 (43 enodes) 140.962 * * [simplify]: iters left: 5 (206 enodes) 141.026 * * [simplify]: Extracting #0: cost 1 inf + 0 141.026 * * [simplify]: Extracting #1: cost 3 inf + 0 141.027 * * [simplify]: Extracting #2: cost 10 inf + 0 141.027 * * [simplify]: Extracting #3: cost 79 inf + 0 141.028 * * [simplify]: Extracting #4: cost 181 inf + 1 141.029 * * [simplify]: Extracting #5: cost 228 inf + 170 141.032 * * [simplify]: Extracting #6: cost 170 inf + 15263 141.043 * * [simplify]: Extracting #7: cost 86 inf + 39776 141.057 * * [simplify]: Extracting #8: cost 54 inf + 47928 141.074 * * [simplify]: Extracting #9: cost 9 inf + 85428 141.092 * * [simplify]: Extracting #10: cost 1 inf + 90374 141.114 * * [simplify]: Extracting #11: cost 0 inf + 90962 141.134 * * [simplify]: Extracting #12: cost 0 inf + 90831 141.153 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) 141.153 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ lambda2 lambda1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 141.154 * * * * [progress]: [ 25 / 116 ] simplifiying candidate # 141.154 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 141.154 * * [simplify]: iters left: 6 (38 enodes) 141.173 * * [simplify]: iters left: 5 (178 enodes) 141.252 * * [simplify]: iters left: 4 (499 enodes) 141.572 * * [simplify]: Extracting #0: cost 1 inf + 0 141.572 * * [simplify]: Extracting #1: cost 3 inf + 0 141.572 * * [simplify]: Extracting #2: cost 14 inf + 0 141.573 * * [simplify]: Extracting #3: cost 267 inf + 0 141.577 * * [simplify]: Extracting #4: cost 758 inf + 86 141.587 * * [simplify]: Extracting #5: cost 875 inf + 9080 141.618 * * [simplify]: Extracting #6: cost 618 inf + 75177 141.683 * * [simplify]: Extracting #7: cost 393 inf + 143492 141.760 * * [simplify]: Extracting #8: cost 250 inf + 202447 141.879 * * [simplify]: Extracting #9: cost 46 inf + 322518 141.954 * * [simplify]: Extracting #10: cost 0 inf + 355001 142.060 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2)))))) 142.061 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 142.061 * * * * [progress]: [ 26 / 116 ] simplifiying candidate # 142.061 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 142.061 * * [simplify]: iters left: 6 (43 enodes) 142.075 * * [simplify]: iters left: 5 (205 enodes) 142.137 * * [simplify]: Extracting #0: cost 1 inf + 0 142.137 * * [simplify]: Extracting #1: cost 3 inf + 0 142.137 * * [simplify]: Extracting #2: cost 6 inf + 0 142.137 * * [simplify]: Extracting #3: cost 57 inf + 0 142.137 * * [simplify]: Extracting #4: cost 167 inf + 0 142.138 * * [simplify]: Extracting #5: cost 231 inf + 409 142.139 * * [simplify]: Extracting #6: cost 199 inf + 7018 142.143 * * [simplify]: Extracting #7: cost 123 inf + 22299 142.149 * * [simplify]: Extracting #8: cost 72 inf + 41366 142.171 * * [simplify]: Extracting #9: cost 10 inf + 93686 142.191 * * [simplify]: Extracting #10: cost 0 inf + 96729 142.225 * * [simplify]: Extracting #11: cost 0 inf + 96074 142.245 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) 142.245 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 142.246 * * * * [progress]: [ 27 / 116 ] simplifiying candidate # 142.246 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 142.246 * * [simplify]: iters left: 6 (44 enodes) 142.262 * * [simplify]: iters left: 5 (214 enodes) 142.330 * * [simplify]: Extracting #0: cost 1 inf + 0 142.330 * * [simplify]: Extracting #1: cost 3 inf + 0 142.330 * * [simplify]: Extracting #2: cost 6 inf + 0 142.330 * * [simplify]: Extracting #3: cost 61 inf + 0 142.331 * * [simplify]: Extracting #4: cost 190 inf + 0 142.333 * * [simplify]: Extracting #5: cost 234 inf + 1232 142.338 * * [simplify]: Extracting #6: cost 168 inf + 12789 142.348 * * [simplify]: Extracting #7: cost 107 inf + 33266 142.364 * * [simplify]: Extracting #8: cost 59 inf + 49045 142.397 * * [simplify]: Extracting #9: cost 3 inf + 94296 142.439 * * [simplify]: Extracting #10: cost 1 inf + 96906 142.478 * * [simplify]: Extracting #11: cost 0 inf + 98491 142.503 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) 142.503 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 142.503 * * * * [progress]: [ 28 / 116 ] simplifiying candidate # 142.504 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 142.504 * * [simplify]: iters left: 6 (44 enodes) 142.519 * * [simplify]: iters left: 5 (214 enodes) 142.610 * * [simplify]: Extracting #0: cost 1 inf + 0 142.610 * * [simplify]: Extracting #1: cost 3 inf + 0 142.610 * * [simplify]: Extracting #2: cost 6 inf + 0 142.610 * * [simplify]: Extracting #3: cost 63 inf + 0 142.611 * * [simplify]: Extracting #4: cost 188 inf + 0 142.612 * * [simplify]: Extracting #5: cost 235 inf + 784 142.614 * * [simplify]: Extracting #6: cost 158 inf + 14161 142.620 * * [simplify]: Extracting #7: cost 109 inf + 30643 142.627 * * [simplify]: Extracting #8: cost 68 inf + 42330 142.644 * * [simplify]: Extracting #9: cost 51 inf + 50820 142.670 * * [simplify]: Extracting #10: cost 4 inf + 90223 142.694 * * [simplify]: Extracting #11: cost 0 inf + 95963 142.721 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) 142.721 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 142.721 * * * * [progress]: [ 29 / 116 ] simplifiying candidate # 142.722 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 142.722 * * [simplify]: iters left: 6 (38 enodes) 142.734 * * [simplify]: iters left: 5 (178 enodes) 142.798 * * [simplify]: Extracting #0: cost 1 inf + 0 142.798 * * [simplify]: Extracting #1: cost 3 inf + 0 142.798 * * [simplify]: Extracting #2: cost 6 inf + 0 142.798 * * [simplify]: Extracting #3: cost 55 inf + 0 142.799 * * [simplify]: Extracting #4: cost 156 inf + 0 142.800 * * [simplify]: Extracting #5: cost 188 inf + 496 142.804 * * [simplify]: Extracting #6: cost 109 inf + 15876 142.813 * * [simplify]: Extracting #7: cost 72 inf + 26732 142.819 * * [simplify]: Extracting #8: cost 55 inf + 34005 142.832 * * [simplify]: Extracting #9: cost 10 inf + 66549 142.855 * * [simplify]: Extracting #10: cost 0 inf + 73902 142.871 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 142.871 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 142.871 * * * * [progress]: [ 30 / 116 ] simplifiying candidate # 142.872 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 142.872 * * [simplify]: iters left: 6 (43 enodes) 142.887 * * [simplify]: iters left: 5 (206 enodes) 142.978 * * [simplify]: Extracting #0: cost 1 inf + 0 142.978 * * [simplify]: Extracting #1: cost 3 inf + 0 142.979 * * [simplify]: Extracting #2: cost 10 inf + 0 142.979 * * [simplify]: Extracting #3: cost 79 inf + 0 142.979 * * [simplify]: Extracting #4: cost 176 inf + 42 142.980 * * [simplify]: Extracting #5: cost 213 inf + 576 142.982 * * [simplify]: Extracting #6: cost 149 inf + 13347 142.986 * * [simplify]: Extracting #7: cost 99 inf + 28767 142.993 * * [simplify]: Extracting #8: cost 62 inf + 39574 143.001 * * [simplify]: Extracting #9: cost 50 inf + 45224 143.023 * * [simplify]: Extracting #10: cost 5 inf + 83018 143.042 * * [simplify]: Extracting #11: cost 0 inf + 89303 143.064 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) 143.064 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 143.064 * * * * [progress]: [ 31 / 116 ] simplifiying candidate # 143.064 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 143.065 * * [simplify]: iters left: 6 (38 enodes) 143.075 * * [simplify]: iters left: 5 (178 enodes) 143.118 * * [simplify]: iters left: 4 (497 enodes) 143.413 * * [simplify]: Extracting #0: cost 1 inf + 0 143.413 * * [simplify]: Extracting #1: cost 3 inf + 0 143.413 * * [simplify]: Extracting #2: cost 14 inf + 0 143.414 * * [simplify]: Extracting #3: cost 273 inf + 0 143.418 * * [simplify]: Extracting #4: cost 758 inf + 85 143.426 * * [simplify]: Extracting #5: cost 916 inf + 7651 143.453 * * [simplify]: Extracting #6: cost 655 inf + 69906 143.488 * * [simplify]: Extracting #7: cost 412 inf + 143144 143.556 * * [simplify]: Extracting #8: cost 265 inf + 199577 143.679 * * [simplify]: Extracting #9: cost 50 inf + 325162 143.791 * * [simplify]: Extracting #10: cost 0 inf + 360688 143.934 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) 143.934 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 143.934 * * * * [progress]: [ 32 / 116 ] simplifiying candidate # 143.935 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 143.935 * * [simplify]: iters left: 6 (43 enodes) 143.958 * * [simplify]: iters left: 5 (206 enodes) 144.033 * * [simplify]: Extracting #0: cost 1 inf + 0 144.033 * * [simplify]: Extracting #1: cost 3 inf + 0 144.033 * * [simplify]: Extracting #2: cost 10 inf + 0 144.033 * * [simplify]: Extracting #3: cost 79 inf + 0 144.033 * * [simplify]: Extracting #4: cost 176 inf + 42 144.034 * * [simplify]: Extracting #5: cost 213 inf + 576 144.036 * * [simplify]: Extracting #6: cost 160 inf + 9673 144.041 * * [simplify]: Extracting #7: cost 97 inf + 30024 144.055 * * [simplify]: Extracting #8: cost 54 inf + 45871 144.082 * * [simplify]: Extracting #9: cost 5 inf + 89713 144.118 * * [simplify]: Extracting #10: cost 0 inf + 90758 144.157 * * [simplify]: Extracting #11: cost 0 inf + 90103 144.194 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) 144.194 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 144.195 * * * * [progress]: [ 33 / 116 ] simplifiying candidate # 144.195 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 144.195 * * [simplify]: iters left: 6 (38 enodes) 144.216 * * [simplify]: iters left: 5 (178 enodes) 144.291 * * [simplify]: iters left: 4 (497 enodes) 144.644 * * [simplify]: Extracting #0: cost 1 inf + 0 144.644 * * [simplify]: Extracting #1: cost 3 inf + 0 144.644 * * [simplify]: Extracting #2: cost 14 inf + 0 144.645 * * [simplify]: Extracting #3: cost 270 inf + 0 144.649 * * [simplify]: Extracting #4: cost 764 inf + 85 144.657 * * [simplify]: Extracting #5: cost 914 inf + 8047 144.682 * * [simplify]: Extracting #6: cost 679 inf + 62052 144.742 * * [simplify]: Extracting #7: cost 417 inf + 142097 144.818 * * [simplify]: Extracting #8: cost 260 inf + 204610 144.941 * * [simplify]: Extracting #9: cost 46 inf + 334436 145.028 * * [simplify]: Extracting #10: cost 0 inf + 367338 145.140 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))))) 145.140 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- phi1 phi2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 145.140 * * * * [progress]: [ 34 / 116 ] simplifiying candidate # 145.140 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 145.141 * * [simplify]: iters left: 6 (37 enodes) 145.153 * * [simplify]: iters left: 5 (172 enodes) 145.222 * * [simplify]: Extracting #0: cost 1 inf + 0 145.222 * * [simplify]: Extracting #1: cost 3 inf + 0 145.222 * * [simplify]: Extracting #2: cost 6 inf + 0 145.222 * * [simplify]: Extracting #3: cost 57 inf + 0 145.223 * * [simplify]: Extracting #4: cost 156 inf + 0 145.224 * * [simplify]: Extracting #5: cost 202 inf + 451 145.226 * * [simplify]: Extracting #6: cost 173 inf + 5973 145.234 * * [simplify]: Extracting #7: cost 90 inf + 25007 145.248 * * [simplify]: Extracting #8: cost 50 inf + 41544 145.264 * * [simplify]: Extracting #9: cost 9 inf + 73134 145.283 * * [simplify]: Extracting #10: cost 0 inf + 81359 145.301 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))))))) 145.301 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 145.301 * * * * [progress]: [ 35 / 116 ] simplifiying candidate # 145.302 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 145.302 * * [simplify]: iters left: 6 (38 enodes) 145.320 * * [simplify]: iters left: 5 (179 enodes) 145.373 * * [simplify]: Extracting #0: cost 1 inf + 0 145.373 * * [simplify]: Extracting #1: cost 3 inf + 0 145.373 * * [simplify]: Extracting #2: cost 6 inf + 0 145.373 * * [simplify]: Extracting #3: cost 58 inf + 0 145.373 * * [simplify]: Extracting #4: cost 172 inf + 0 145.374 * * [simplify]: Extracting #5: cost 207 inf + 498 145.375 * * [simplify]: Extracting #6: cost 180 inf + 3568 145.378 * * [simplify]: Extracting #7: cost 109 inf + 19024 145.386 * * [simplify]: Extracting #8: cost 63 inf + 33315 145.394 * * [simplify]: Extracting #9: cost 42 inf + 47592 145.409 * * [simplify]: Extracting #10: cost 3 inf + 79197 145.432 * * [simplify]: Extracting #11: cost 0 inf + 81792 145.458 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)))) 145.459 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 145.459 * * * * [progress]: [ 36 / 116 ] simplifiying candidate # 145.459 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 145.459 * * [simplify]: iters left: 6 (38 enodes) 145.470 * * [simplify]: iters left: 5 (179 enodes) 145.537 * * [simplify]: Extracting #0: cost 1 inf + 0 145.537 * * [simplify]: Extracting #1: cost 3 inf + 0 145.537 * * [simplify]: Extracting #2: cost 6 inf + 0 145.537 * * [simplify]: Extracting #3: cost 60 inf + 0 145.537 * * [simplify]: Extracting #4: cost 170 inf + 0 145.538 * * [simplify]: Extracting #5: cost 206 inf + 373 145.539 * * [simplify]: Extracting #6: cost 168 inf + 6921 145.543 * * [simplify]: Extracting #7: cost 96 inf + 21629 145.550 * * [simplify]: Extracting #8: cost 49 inf + 43106 145.564 * * [simplify]: Extracting #9: cost 5 inf + 75099 145.581 * * [simplify]: Extracting #10: cost 0 inf + 79424 145.601 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))))) 145.601 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 145.602 * * * * [progress]: [ 37 / 116 ] simplifiying candidate # 145.603 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 145.603 * * [simplify]: iters left: 6 (31 enodes) 145.623 * * [simplify]: iters left: 5 (140 enodes) 145.656 * * [simplify]: iters left: 4 (409 enodes) 145.969 * * [simplify]: Extracting #0: cost 1 inf + 0 145.969 * * [simplify]: Extracting #1: cost 3 inf + 0 145.969 * * [simplify]: Extracting #2: cost 20 inf + 0 145.970 * * [simplify]: Extracting #3: cost 257 inf + 0 145.974 * * [simplify]: Extracting #4: cost 675 inf + 1269 145.985 * * [simplify]: Extracting #5: cost 657 inf + 22581 146.007 * * [simplify]: Extracting #6: cost 513 inf + 52530 146.043 * * [simplify]: Extracting #7: cost 384 inf + 86970 146.084 * * [simplify]: Extracting #8: cost 252 inf + 136455 146.153 * * [simplify]: Extracting #9: cost 50 inf + 241290 146.252 * * [simplify]: Extracting #10: cost 0 inf + 268568 146.359 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))))) 146.359 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 146.359 * * * * [progress]: [ 38 / 116 ] simplifiying candidate # 146.360 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 146.360 * * [simplify]: iters left: 6 (37 enodes) 146.372 * * [simplify]: iters left: 5 (171 enodes) 146.412 * * [simplify]: iters left: 4 (465 enodes) 146.681 * * [simplify]: Extracting #0: cost 1 inf + 0 146.682 * * [simplify]: Extracting #1: cost 3 inf + 0 146.682 * * [simplify]: Extracting #2: cost 20 inf + 0 146.682 * * [simplify]: Extracting #3: cost 304 inf + 0 146.685 * * [simplify]: Extracting #4: cost 799 inf + 535 146.689 * * [simplify]: Extracting #5: cost 867 inf + 9880 146.701 * * [simplify]: Extracting #6: cost 666 inf + 62463 146.732 * * [simplify]: Extracting #7: cost 488 inf + 116392 146.765 * * [simplify]: Extracting #8: cost 324 inf + 178827 146.873 * * [simplify]: Extracting #9: cost 55 inf + 337001 146.981 * * [simplify]: Extracting #10: cost 0 inf + 371324 147.098 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 147.098 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 147.099 * * * * [progress]: [ 39 / 116 ] simplifiying candidate # 147.099 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 147.099 * * [simplify]: iters left: 6 (31 enodes) 147.111 * * [simplify]: iters left: 5 (138 enodes) 147.144 * * [simplify]: iters left: 4 (385 enodes) 147.396 * * [simplify]: Extracting #0: cost 1 inf + 0 147.396 * * [simplify]: Extracting #1: cost 3 inf + 0 147.396 * * [simplify]: Extracting #2: cost 15 inf + 0 147.397 * * [simplify]: Extracting #3: cost 252 inf + 0 147.407 * * [simplify]: Extracting #4: cost 667 inf + 87 147.416 * * [simplify]: Extracting #5: cost 706 inf + 10856 147.435 * * [simplify]: Extracting #6: cost 525 inf + 46731 147.469 * * [simplify]: Extracting #7: cost 387 inf + 84121 147.495 * * [simplify]: Extracting #8: cost 247 inf + 133180 147.561 * * [simplify]: Extracting #9: cost 44 inf + 240262 147.653 * * [simplify]: Extracting #10: cost 1 inf + 266409 147.758 * * [simplify]: Extracting #11: cost 0 inf + 267314 147.830 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (+ lambda1 lambda2)))) 147.830 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 147.830 * * * * [progress]: [ 40 / 116 ] simplifiying candidate # 147.831 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 147.831 * * [simplify]: iters left: 6 (37 enodes) 147.852 * * [simplify]: iters left: 5 (171 enodes) 147.926 * * [simplify]: iters left: 4 (465 enodes) 148.248 * * [simplify]: Extracting #0: cost 1 inf + 0 148.248 * * [simplify]: Extracting #1: cost 3 inf + 0 148.248 * * [simplify]: Extracting #2: cost 20 inf + 0 148.249 * * [simplify]: Extracting #3: cost 289 inf + 0 148.251 * * [simplify]: Extracting #4: cost 761 inf + 454 148.256 * * [simplify]: Extracting #5: cost 863 inf + 9779 148.267 * * [simplify]: Extracting #6: cost 677 inf + 54304 148.288 * * [simplify]: Extracting #7: cost 532 inf + 98994 148.336 * * [simplify]: Extracting #8: cost 339 inf + 173162 148.428 * * [simplify]: Extracting #9: cost 53 inf + 339050 148.537 * * [simplify]: Extracting #10: cost 0 inf + 371002 148.684 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 148.684 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 148.685 * * * * [progress]: [ 41 / 116 ] simplifiying candidate # 148.685 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 148.685 * * [simplify]: iters left: 6 (31 enodes) 148.693 * * [simplify]: iters left: 5 (138 enodes) 148.735 * * [simplify]: iters left: 4 (385 enodes) 148.933 * * [simplify]: Extracting #0: cost 1 inf + 0 148.933 * * [simplify]: Extracting #1: cost 3 inf + 0 148.933 * * [simplify]: Extracting #2: cost 15 inf + 0 148.933 * * [simplify]: Extracting #3: cost 246 inf + 0 148.935 * * [simplify]: Extracting #4: cost 668 inf + 45 148.938 * * [simplify]: Extracting #5: cost 722 inf + 7113 148.948 * * [simplify]: Extracting #6: cost 542 inf + 41969 148.965 * * [simplify]: Extracting #7: cost 387 inf + 82999 148.999 * * [simplify]: Extracting #8: cost 249 inf + 130802 149.050 * * [simplify]: Extracting #9: cost 50 inf + 235999 149.112 * * [simplify]: Extracting #10: cost 1 inf + 263852 149.170 * * [simplify]: Extracting #11: cost 0 inf + 264717 149.253 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (+ phi1 phi2))))) 149.253 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (+ phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 149.253 * * * * [progress]: [ 42 / 116 ] simplifiying candidate # 149.254 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 149.254 * * [simplify]: iters left: 6 (41 enodes) 149.276 * * [simplify]: iters left: 5 (189 enodes) 149.362 * * [simplify]: Extracting #0: cost 1 inf + 0 149.362 * * [simplify]: Extracting #1: cost 3 inf + 0 149.362 * * [simplify]: Extracting #2: cost 6 inf + 0 149.362 * * [simplify]: Extracting #3: cost 56 inf + 0 149.363 * * [simplify]: Extracting #4: cost 147 inf + 0 149.364 * * [simplify]: Extracting #5: cost 200 inf + 127 149.366 * * [simplify]: Extracting #6: cost 180 inf + 5370 149.372 * * [simplify]: Extracting #7: cost 106 inf + 20981 149.385 * * [simplify]: Extracting #8: cost 49 inf + 44918 149.401 * * [simplify]: Extracting #9: cost 5 inf + 83172 149.421 * * [simplify]: Extracting #10: cost 0 inf + 88497 149.451 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))))) 149.451 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 149.452 * * * * [progress]: [ 43 / 116 ] simplifiying candidate # 149.452 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 149.452 * * [simplify]: iters left: 6 (42 enodes) 149.467 * * [simplify]: iters left: 5 (198 enodes) 149.527 * * [simplify]: Extracting #0: cost 1 inf + 0 149.528 * * [simplify]: Extracting #1: cost 3 inf + 0 149.528 * * [simplify]: Extracting #2: cost 6 inf + 0 149.528 * * [simplify]: Extracting #3: cost 60 inf + 0 149.528 * * [simplify]: Extracting #4: cost 169 inf + 0 149.530 * * [simplify]: Extracting #5: cost 207 inf + 579 149.534 * * [simplify]: Extracting #6: cost 135 inf + 15506 149.545 * * [simplify]: Extracting #7: cost 75 inf + 38378 149.569 * * [simplify]: Extracting #8: cost 12 inf + 83283 149.595 * * [simplify]: Extracting #9: cost 0 inf + 90340 149.614 * * [simplify]: Extracting #10: cost 0 inf + 89030 149.632 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) 149.632 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 149.632 * * * * [progress]: [ 44 / 116 ] simplifiying candidate # 149.633 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 149.633 * * [simplify]: iters left: 6 (42 enodes) 149.645 * * [simplify]: iters left: 5 (198 enodes) 149.711 * * [simplify]: Extracting #0: cost 1 inf + 0 149.711 * * [simplify]: Extracting #1: cost 3 inf + 0 149.711 * * [simplify]: Extracting #2: cost 6 inf + 0 149.711 * * [simplify]: Extracting #3: cost 62 inf + 0 149.712 * * [simplify]: Extracting #4: cost 167 inf + 0 149.713 * * [simplify]: Extracting #5: cost 205 inf + 378 149.717 * * [simplify]: Extracting #6: cost 125 inf + 16563 149.727 * * [simplify]: Extracting #7: cost 86 inf + 28664 149.739 * * [simplify]: Extracting #8: cost 51 inf + 41799 149.758 * * [simplify]: Extracting #9: cost 14 inf + 72992 149.775 * * [simplify]: Extracting #10: cost 0 inf + 86582 149.802 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))) 149.802 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 149.803 * * * * [progress]: [ 45 / 116 ] simplifiying candidate # 149.804 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 149.804 * * [simplify]: iters left: 6 (36 enodes) 149.822 * * [simplify]: iters left: 5 (162 enodes) 149.867 * * [simplify]: iters left: 4 (422 enodes) 150.111 * * [simplify]: Extracting #0: cost 1 inf + 0 150.111 * * [simplify]: Extracting #1: cost 3 inf + 0 150.111 * * [simplify]: Extracting #2: cost 26 inf + 0 150.112 * * [simplify]: Extracting #3: cost 283 inf + 0 150.115 * * [simplify]: Extracting #4: cost 619 inf + 1111 150.125 * * [simplify]: Extracting #5: cost 627 inf + 21570 150.137 * * [simplify]: Extracting #6: cost 507 inf + 53918 150.163 * * [simplify]: Extracting #7: cost 397 inf + 84593 150.194 * * [simplify]: Extracting #8: cost 274 inf + 127560 150.273 * * [simplify]: Extracting #9: cost 50 inf + 255774 150.349 * * [simplify]: Extracting #10: cost 0 inf + 288551 150.438 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) 150.438 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 150.439 * * * * [progress]: [ 46 / 116 ] simplifiying candidate # 150.439 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 150.440 * * [simplify]: iters left: 6 (41 enodes) 150.464 * * [simplify]: iters left: 5 (190 enodes) 150.536 * * [simplify]: iters left: 4 (486 enodes) 150.844 * * [simplify]: Extracting #0: cost 1 inf + 0 150.844 * * [simplify]: Extracting #1: cost 3 inf + 0 150.844 * * [simplify]: Extracting #2: cost 23 inf + 0 150.845 * * [simplify]: Extracting #3: cost 317 inf + 0 150.849 * * [simplify]: Extracting #4: cost 704 inf + 336 150.858 * * [simplify]: Extracting #5: cost 808 inf + 15964 150.876 * * [simplify]: Extracting #6: cost 672 inf + 55063 150.909 * * [simplify]: Extracting #7: cost 479 inf + 117422 150.965 * * [simplify]: Extracting #8: cost 314 inf + 185139 151.052 * * [simplify]: Extracting #9: cost 61 inf + 346125 151.172 * * [simplify]: Extracting #10: cost 0 inf + 388939 151.280 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) 151.280 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 151.281 * * * * [progress]: [ 47 / 116 ] simplifiying candidate # 151.281 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 151.281 * * [simplify]: iters left: 6 (36 enodes) 151.292 * * [simplify]: iters left: 5 (162 enodes) 151.345 * * [simplify]: iters left: 4 (413 enodes) 151.593 * * [simplify]: Extracting #0: cost 1 inf + 0 151.593 * * [simplify]: Extracting #1: cost 3 inf + 0 151.593 * * [simplify]: Extracting #2: cost 19 inf + 0 151.594 * * [simplify]: Extracting #3: cost 253 inf + 0 151.595 * * [simplify]: Extracting #4: cost 549 inf + 420 151.599 * * [simplify]: Extracting #5: cost 653 inf + 10690 151.615 * * [simplify]: Extracting #6: cost 501 inf + 46445 151.638 * * [simplify]: Extracting #7: cost 370 inf + 84192 151.661 * * [simplify]: Extracting #8: cost 247 inf + 126919 151.715 * * [simplify]: Extracting #9: cost 62 inf + 233429 151.782 * * [simplify]: Extracting #10: cost 0 inf + 271423 151.847 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) 151.847 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 151.848 * * * * [progress]: [ 48 / 116 ] simplifiying candidate # 151.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 151.848 * * [simplify]: iters left: 6 (41 enodes) 151.861 * * [simplify]: iters left: 5 (190 enodes) 151.927 * * [simplify]: iters left: 4 (486 enodes) 152.199 * * [simplify]: Extracting #0: cost 1 inf + 0 152.199 * * [simplify]: Extracting #1: cost 3 inf + 0 152.199 * * [simplify]: Extracting #2: cost 23 inf + 0 152.200 * * [simplify]: Extracting #3: cost 301 inf + 0 152.202 * * [simplify]: Extracting #4: cost 666 inf + 460 152.206 * * [simplify]: Extracting #5: cost 810 inf + 16263 152.231 * * [simplify]: Extracting #6: cost 709 inf + 43651 152.253 * * [simplify]: Extracting #7: cost 511 inf + 104857 152.305 * * [simplify]: Extracting #8: cost 314 inf + 184257 152.429 * * [simplify]: Extracting #9: cost 60 inf + 347326 152.555 * * [simplify]: Extracting #10: cost 0 inf + 388711 152.680 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (- lambda1 lambda2))))) 152.680 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (- lambda1 lambda2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 152.681 * * * * [progress]: [ 49 / 116 ] simplifiying candidate # 152.681 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 152.682 * * [simplify]: iters left: 6 (36 enodes) 152.698 * * [simplify]: iters left: 5 (162 enodes) 152.740 * * [simplify]: iters left: 4 (413 enodes) 152.961 * * [simplify]: Extracting #0: cost 1 inf + 0 152.961 * * [simplify]: Extracting #1: cost 3 inf + 0 152.961 * * [simplify]: Extracting #2: cost 19 inf + 0 152.961 * * [simplify]: Extracting #3: cost 250 inf + 0 152.963 * * [simplify]: Extracting #4: cost 550 inf + 708 152.972 * * [simplify]: Extracting #5: cost 647 inf + 12807 152.984 * * [simplify]: Extracting #6: cost 486 inf + 52547 153.018 * * [simplify]: Extracting #7: cost 360 inf + 88652 153.056 * * [simplify]: Extracting #8: cost 234 inf + 131908 153.118 * * [simplify]: Extracting #9: cost 72 inf + 227795 153.178 * * [simplify]: Extracting #10: cost 1 inf + 271116 153.259 * * [simplify]: Extracting #11: cost 0 inf + 272141 153.370 * [simplify]: Simplified to (sqrt (+ (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (- phi1 phi2) (* (- phi1 phi2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ phi1 phi2)))))) 153.370 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (- phi1 phi2) (* (- phi1 phi2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 153.371 * * * * [progress]: [ 50 / 116 ] simplifiying candidate # 153.371 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 153.371 * * [simplify]: iters left: 6 (37 enodes) 153.391 * * [simplify]: iters left: 5 (164 enodes) 153.436 * * [simplify]: iters left: 4 (454 enodes) 153.774 * * [simplify]: Extracting #0: cost 1 inf + 0 153.774 * * [simplify]: Extracting #1: cost 3 inf + 0 153.774 * * [simplify]: Extracting #2: cost 26 inf + 0 153.775 * * [simplify]: Extracting #3: cost 309 inf + 0 153.780 * * [simplify]: Extracting #4: cost 862 inf + 334 153.789 * * [simplify]: Extracting #5: cost 916 inf + 11649 153.806 * * [simplify]: Extracting #6: cost 656 inf + 85489 153.848 * * [simplify]: Extracting #7: cost 483 inf + 138875 153.925 * * [simplify]: Extracting #8: cost 240 inf + 271779 154.028 * * [simplify]: Extracting #9: cost 2 inf + 423692 154.172 * * [simplify]: Extracting #10: cost 0 inf + 425102 154.340 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) 154.340 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 154.340 * * * * [progress]: [ 51 / 116 ] simplifiying candidate # 154.341 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 154.341 * * [simplify]: iters left: 6 (38 enodes) 154.352 * * [simplify]: iters left: 5 (173 enodes) 154.401 * * [simplify]: iters left: 4 (487 enodes) 154.818 * * [simplify]: Extracting #0: cost 1 inf + 0 154.818 * * [simplify]: Extracting #1: cost 3 inf + 0 154.818 * * [simplify]: Extracting #2: cost 22 inf + 0 154.818 * * [simplify]: Extracting #3: cost 314 inf + 0 154.821 * * [simplify]: Extracting #4: cost 826 inf + 872 154.832 * * [simplify]: Extracting #5: cost 942 inf + 20029 154.857 * * [simplify]: Extracting #6: cost 721 inf + 74287 154.888 * * [simplify]: Extracting #7: cost 543 inf + 128942 154.950 * * [simplify]: Extracting #8: cost 246 inf + 278271 155.071 * * [simplify]: Extracting #9: cost 13 inf + 420936 155.228 * * [simplify]: Extracting #10: cost 0 inf + 430021 155.354 * [simplify]: Simplified to (sqrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))))) 155.354 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 155.354 * * * * [progress]: [ 52 / 116 ] simplifiying candidate # 155.355 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 155.355 * * [simplify]: iters left: 6 (38 enodes) 155.366 * * [simplify]: iters left: 5 (173 enodes) 155.413 * * [simplify]: iters left: 4 (485 enodes) 155.798 * * [simplify]: Extracting #0: cost 1 inf + 0 155.798 * * [simplify]: Extracting #1: cost 3 inf + 0 155.798 * * [simplify]: Extracting #2: cost 26 inf + 0 155.799 * * [simplify]: Extracting #3: cost 346 inf + 0 155.801 * * [simplify]: Extracting #4: cost 839 inf + 1197 155.812 * * [simplify]: Extracting #5: cost 847 inf + 26975 155.843 * * [simplify]: Extracting #6: cost 635 inf + 79504 155.889 * * [simplify]: Extracting #7: cost 495 inf + 124921 155.951 * * [simplify]: Extracting #8: cost 248 inf + 246558 156.105 * * [simplify]: Extracting #9: cost 7 inf + 387333 156.222 * * [simplify]: Extracting #10: cost 0 inf + 392627 156.322 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (+ phi1 phi2) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 156.322 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (+ lambda2 lambda1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (+ phi1 phi2) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 156.322 * * * * [progress]: [ 53 / 116 ] simplifiying candidate # 156.322 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 156.322 * * [simplify]: iters left: 6 (31 enodes) 156.331 * * [simplify]: iters left: 5 (132 enodes) 156.369 * * [simplify]: iters left: 4 (357 enodes) 156.580 * * [simplify]: Extracting #0: cost 1 inf + 0 156.580 * * [simplify]: Extracting #1: cost 3 inf + 0 156.580 * * [simplify]: Extracting #2: cost 22 inf + 0 156.581 * * [simplify]: Extracting #3: cost 231 inf + 0 156.584 * * [simplify]: Extracting #4: cost 598 inf + 748 156.594 * * [simplify]: Extracting #5: cost 597 inf + 15321 156.613 * * [simplify]: Extracting #6: cost 436 inf + 49743 156.641 * * [simplify]: Extracting #7: cost 342 inf + 76168 156.699 * * [simplify]: Extracting #8: cost 150 inf + 161182 156.796 * * [simplify]: Extracting #9: cost 3 inf + 239701 156.902 * * [simplify]: Extracting #10: cost 0 inf + 241736 156.990 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) 156.990 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda2 lambda1)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 156.990 * * * * [progress]: [ 54 / 116 ] simplifiying candidate # 156.991 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 156.991 * * [simplify]: iters left: 6 (37 enodes) 157.010 * * [simplify]: iters left: 5 (165 enodes) 157.071 * * [simplify]: iters left: 4 (428 enodes) 157.329 * * [simplify]: Extracting #0: cost 1 inf + 0 157.330 * * [simplify]: Extracting #1: cost 3 inf + 0 157.330 * * [simplify]: Extracting #2: cost 21 inf + 0 157.331 * * [simplify]: Extracting #3: cost 297 inf + 0 157.334 * * [simplify]: Extracting #4: cost 719 inf + 539 157.343 * * [simplify]: Extracting #5: cost 772 inf + 14617 157.355 * * [simplify]: Extracting #6: cost 609 inf + 50325 157.373 * * [simplify]: Extracting #7: cost 425 inf + 109462 157.419 * * [simplify]: Extracting #8: cost 181 inf + 224480 157.520 * * [simplify]: Extracting #9: cost 8 inf + 330257 157.620 * * [simplify]: Extracting #10: cost 0 inf + 337217 157.717 * [simplify]: Simplified to (sqrt (+ (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))))) 157.717 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 157.717 * * * * [progress]: [ 55 / 116 ] simplifiying candidate # 157.717 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 157.718 * * [simplify]: iters left: 6 (31 enodes) 157.726 * * [simplify]: iters left: 5 (132 enodes) 157.771 * * [simplify]: iters left: 4 (348 enodes) 157.964 * * [simplify]: Extracting #0: cost 1 inf + 0 157.964 * * [simplify]: Extracting #1: cost 3 inf + 0 157.964 * * [simplify]: Extracting #2: cost 16 inf + 0 157.964 * * [simplify]: Extracting #3: cost 240 inf + 0 157.966 * * [simplify]: Extracting #4: cost 555 inf + 545 157.969 * * [simplify]: Extracting #5: cost 584 inf + 14138 157.979 * * [simplify]: Extracting #6: cost 430 inf + 44304 158.005 * * [simplify]: Extracting #7: cost 211 inf + 123829 158.081 * * [simplify]: Extracting #8: cost 15 inf + 222318 158.160 * * [simplify]: Extracting #9: cost 0 inf + 230932 158.238 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (+ phi1 phi2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1))) (- phi1 phi2)))) 158.238 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (+ phi1 phi2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1))) (- phi1 phi2)))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 158.239 * * * * [progress]: [ 56 / 116 ] simplifiying candidate # 158.239 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 158.239 * * [simplify]: iters left: 6 (37 enodes) 158.249 * * [simplify]: iters left: 5 (165 enodes) 158.312 * * [simplify]: iters left: 4 (428 enodes) 158.599 * * [simplify]: Extracting #0: cost 1 inf + 0 158.599 * * [simplify]: Extracting #1: cost 3 inf + 0 158.599 * * [simplify]: Extracting #2: cost 21 inf + 0 158.599 * * [simplify]: Extracting #3: cost 281 inf + 0 158.601 * * [simplify]: Extracting #4: cost 681 inf + 458 158.608 * * [simplify]: Extracting #5: cost 785 inf + 10353 158.628 * * [simplify]: Extracting #6: cost 618 inf + 47273 158.664 * * [simplify]: Extracting #7: cost 442 inf + 102291 158.706 * * [simplify]: Extracting #8: cost 189 inf + 218853 158.806 * * [simplify]: Extracting #9: cost 7 inf + 329529 158.913 * * [simplify]: Extracting #10: cost 0 inf + 335744 159.009 * [simplify]: Simplified to (sqrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 159.009 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ lambda2 lambda1) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 159.009 * * * * [progress]: [ 57 / 116 ] simplifiying candidate # 159.010 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 159.010 * * [simplify]: iters left: 6 (31 enodes) 159.026 * * [simplify]: iters left: 5 (132 enodes) 159.057 * * [simplify]: iters left: 4 (348 enodes) 159.226 * * [simplify]: Extracting #0: cost 1 inf + 0 159.226 * * [simplify]: Extracting #1: cost 3 inf + 0 159.226 * * [simplify]: Extracting #2: cost 16 inf + 0 159.227 * * [simplify]: Extracting #3: cost 237 inf + 0 159.230 * * [simplify]: Extracting #4: cost 557 inf + 627 159.237 * * [simplify]: Extracting #5: cost 604 inf + 10805 159.254 * * [simplify]: Extracting #6: cost 435 inf + 42748 159.289 * * [simplify]: Extracting #7: cost 245 inf + 105910 159.333 * * [simplify]: Extracting #8: cost 46 inf + 204869 159.392 * * [simplify]: Extracting #9: cost 1 inf + 230509 159.445 * * [simplify]: Extracting #10: cost 0 inf + 231294 159.538 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) 159.538 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 159.538 * * * * [progress]: [ 58 / 116 ] simplifiying candidate # 159.539 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 159.539 * * [simplify]: iters left: 6 (41 enodes) 159.560 * * [simplify]: iters left: 5 (189 enodes) 159.612 * * [simplify]: Extracting #0: cost 1 inf + 0 159.612 * * [simplify]: Extracting #1: cost 3 inf + 0 159.612 * * [simplify]: Extracting #2: cost 6 inf + 0 159.612 * * [simplify]: Extracting #3: cost 56 inf + 0 159.612 * * [simplify]: Extracting #4: cost 149 inf + 0 159.613 * * [simplify]: Extracting #5: cost 211 inf + 0 159.614 * * [simplify]: Extracting #6: cost 192 inf + 8827 159.618 * * [simplify]: Extracting #7: cost 105 inf + 30741 159.632 * * [simplify]: Extracting #8: cost 11 inf + 82805 159.657 * * [simplify]: Extracting #9: cost 0 inf + 88716 159.689 * * [simplify]: Extracting #10: cost 0 inf + 87537 159.722 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))))) 159.722 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 159.723 * * * * [progress]: [ 59 / 116 ] simplifiying candidate # 159.723 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 159.724 * * [simplify]: iters left: 6 (42 enodes) 159.747 * * [simplify]: iters left: 5 (198 enodes) 159.837 * * [simplify]: Extracting #0: cost 1 inf + 0 159.837 * * [simplify]: Extracting #1: cost 3 inf + 0 159.837 * * [simplify]: Extracting #2: cost 6 inf + 0 159.837 * * [simplify]: Extracting #3: cost 60 inf + 0 159.838 * * [simplify]: Extracting #4: cost 171 inf + 0 159.839 * * [simplify]: Extracting #5: cost 221 inf + 209 159.843 * * [simplify]: Extracting #6: cost 172 inf + 12447 159.851 * * [simplify]: Extracting #7: cost 100 inf + 32219 159.864 * * [simplify]: Extracting #8: cost 52 inf + 44926 159.879 * * [simplify]: Extracting #9: cost 10 inf + 79420 159.908 * * [simplify]: Extracting #10: cost 0 inf + 89190 159.927 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2))))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) 159.927 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2))))))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 159.927 * * * * [progress]: [ 60 / 116 ] simplifiying candidate # 159.927 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 159.928 * * [simplify]: iters left: 6 (42 enodes) 159.952 * * [simplify]: iters left: 5 (198 enodes) 160.006 * * [simplify]: Extracting #0: cost 1 inf + 0 160.006 * * [simplify]: Extracting #1: cost 3 inf + 0 160.006 * * [simplify]: Extracting #2: cost 6 inf + 0 160.007 * * [simplify]: Extracting #3: cost 62 inf + 0 160.007 * * [simplify]: Extracting #4: cost 169 inf + 0 160.007 * * [simplify]: Extracting #5: cost 218 inf + 127 160.009 * * [simplify]: Extracting #6: cost 172 inf + 11666 160.013 * * [simplify]: Extracting #7: cost 91 inf + 32449 160.020 * * [simplify]: Extracting #8: cost 52 inf + 43377 160.048 * * [simplify]: Extracting #9: cost 14 inf + 73752 160.079 * * [simplify]: Extracting #10: cost 0 inf + 86902 160.108 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))))) 160.108 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 160.109 * * * * [progress]: [ 61 / 116 ] simplifiying candidate # 160.109 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 160.109 * * [simplify]: iters left: 6 (36 enodes) 160.119 * * [simplify]: iters left: 5 (162 enodes) 160.162 * * [simplify]: iters left: 4 (422 enodes) 160.391 * * [simplify]: Extracting #0: cost 1 inf + 0 160.391 * * [simplify]: Extracting #1: cost 3 inf + 0 160.391 * * [simplify]: Extracting #2: cost 26 inf + 0 160.393 * * [simplify]: Extracting #3: cost 282 inf + 0 160.397 * * [simplify]: Extracting #4: cost 621 inf + 1151 160.407 * * [simplify]: Extracting #5: cost 590 inf + 24302 160.431 * * [simplify]: Extracting #6: cost 473 inf + 58164 160.458 * * [simplify]: Extracting #7: cost 370 inf + 88357 160.496 * * [simplify]: Extracting #8: cost 248 inf + 135357 160.549 * * [simplify]: Extracting #9: cost 56 inf + 242415 160.626 * * [simplify]: Extracting #10: cost 0 inf + 275603 160.712 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 160.712 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 160.713 * * * * [progress]: [ 62 / 116 ] simplifiying candidate # 160.714 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 160.714 * * [simplify]: iters left: 6 (41 enodes) 160.737 * * [simplify]: iters left: 5 (190 enodes) 160.820 * * [simplify]: iters left: 4 (486 enodes) 161.118 * * [simplify]: Extracting #0: cost 1 inf + 0 161.118 * * [simplify]: Extracting #1: cost 3 inf + 0 161.118 * * [simplify]: Extracting #2: cost 23 inf + 0 161.119 * * [simplify]: Extracting #3: cost 320 inf + 0 161.123 * * [simplify]: Extracting #4: cost 709 inf + 294 161.132 * * [simplify]: Extracting #5: cost 803 inf + 13425 161.153 * * [simplify]: Extracting #6: cost 639 inf + 61649 161.202 * * [simplify]: Extracting #7: cost 446 inf + 125964 161.261 * * [simplify]: Extracting #8: cost 291 inf + 192595 161.352 * * [simplify]: Extracting #9: cost 47 inf + 348536 161.487 * * [simplify]: Extracting #10: cost 0 inf + 377782 161.612 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 161.612 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 161.613 * * * * [progress]: [ 63 / 116 ] simplifiying candidate # 161.613 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 161.613 * * [simplify]: iters left: 6 (36 enodes) 161.630 * * [simplify]: iters left: 5 (162 enodes) 161.688 * * [simplify]: iters left: 4 (413 enodes) 161.902 * * [simplify]: Extracting #0: cost 1 inf + 0 161.902 * * [simplify]: Extracting #1: cost 3 inf + 0 161.902 * * [simplify]: Extracting #2: cost 19 inf + 0 161.903 * * [simplify]: Extracting #3: cost 257 inf + 0 161.904 * * [simplify]: Extracting #4: cost 558 inf + 419 161.912 * * [simplify]: Extracting #5: cost 643 inf + 13965 161.942 * * [simplify]: Extracting #6: cost 392 inf + 79447 161.983 * * [simplify]: Extracting #7: cost 244 inf + 128091 162.419 * * [simplify]: Extracting #8: cost 53 inf + 233044 162.485 * * [simplify]: Extracting #9: cost 0 inf + 265940 162.557 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) 162.557 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 162.558 * * * * [progress]: [ 64 / 116 ] simplifiying candidate # 162.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 162.559 * * [simplify]: iters left: 6 (41 enodes) 162.582 * * [simplify]: iters left: 5 (190 enodes) 162.635 * * [simplify]: iters left: 4 (486 enodes) 162.935 * * [simplify]: Extracting #0: cost 1 inf + 0 162.935 * * [simplify]: Extracting #1: cost 3 inf + 0 162.936 * * [simplify]: Extracting #2: cost 23 inf + 0 162.937 * * [simplify]: Extracting #3: cost 303 inf + 0 162.940 * * [simplify]: Extracting #4: cost 673 inf + 335 162.952 * * [simplify]: Extracting #5: cost 800 inf + 13982 162.962 * * [simplify]: Extracting #6: cost 679 inf + 48215 162.994 * * [simplify]: Extracting #7: cost 488 inf + 109936 163.030 * * [simplify]: Extracting #8: cost 302 inf + 185691 163.146 * * [simplify]: Extracting #9: cost 60 inf + 336753 163.246 * * [simplify]: Extracting #10: cost 0 inf + 376209 163.373 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) 163.373 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 163.373 * * * * [progress]: [ 65 / 116 ] simplifiying candidate # 163.373 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 163.374 * * [simplify]: iters left: 6 (36 enodes) 163.384 * * [simplify]: iters left: 5 (162 enodes) 163.442 * * [simplify]: iters left: 4 (413 enodes) 163.714 * * [simplify]: Extracting #0: cost 1 inf + 0 163.714 * * [simplify]: Extracting #1: cost 3 inf + 0 163.714 * * [simplify]: Extracting #2: cost 19 inf + 0 163.715 * * [simplify]: Extracting #3: cost 254 inf + 0 163.718 * * [simplify]: Extracting #4: cost 563 inf + 295 163.725 * * [simplify]: Extracting #5: cost 654 inf + 10575 163.749 * * [simplify]: Extracting #6: cost 431 inf + 65609 163.778 * * [simplify]: Extracting #7: cost 243 inf + 129362 163.830 * * [simplify]: Extracting #8: cost 54 inf + 231972 163.910 * * [simplify]: Extracting #9: cost 0 inf + 266458 163.995 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) 163.995 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 163.996 * * * * [progress]: [ 66 / 116 ] simplifiying candidate # 163.996 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 163.996 * * [simplify]: iters left: 6 (37 enodes) 164.016 * * [simplify]: iters left: 5 (164 enodes) 164.063 * * [simplify]: iters left: 4 (454 enodes) 164.392 * * [simplify]: Extracting #0: cost 1 inf + 0 164.392 * * [simplify]: Extracting #1: cost 3 inf + 0 164.392 * * [simplify]: Extracting #2: cost 26 inf + 0 164.393 * * [simplify]: Extracting #3: cost 305 inf + 0 164.395 * * [simplify]: Extracting #4: cost 864 inf + 375 164.401 * * [simplify]: Extracting #5: cost 888 inf + 15456 164.417 * * [simplify]: Extracting #6: cost 639 inf + 88665 164.447 * * [simplify]: Extracting #7: cost 474 inf + 138818 164.495 * * [simplify]: Extracting #8: cost 273 inf + 246497 164.614 * * [simplify]: Extracting #9: cost 7 inf + 409044 164.722 * * [simplify]: Extracting #10: cost 0 inf + 413939 164.827 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))) (- lambda1 lambda2)))) 164.827 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))) (- lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 164.827 * * * * [progress]: [ 67 / 116 ] simplifiying candidate # 164.827 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 164.827 * * [simplify]: iters left: 6 (38 enodes) 164.838 * * [simplify]: iters left: 5 (173 enodes) 164.882 * * [simplify]: iters left: 4 (487 enodes) 165.177 * * [simplify]: Extracting #0: cost 1 inf + 0 165.177 * * [simplify]: Extracting #1: cost 3 inf + 0 165.177 * * [simplify]: Extracting #2: cost 22 inf + 0 165.177 * * [simplify]: Extracting #3: cost 322 inf + 0 165.180 * * [simplify]: Extracting #4: cost 834 inf + 461 165.192 * * [simplify]: Extracting #5: cost 957 inf + 17454 165.210 * * [simplify]: Extracting #6: cost 692 inf + 85505 165.235 * * [simplify]: Extracting #7: cost 523 inf + 138035 165.322 * * [simplify]: Extracting #8: cost 247 inf + 278533 165.422 * * [simplify]: Extracting #9: cost 12 inf + 417510 165.530 * * [simplify]: Extracting #10: cost 0 inf + 425448 165.663 * [simplify]: Simplified to (sqrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- lambda1 lambda2))))))) 165.663 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- lambda1 lambda2))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 165.664 * * * * [progress]: [ 68 / 116 ] simplifiying candidate # 165.664 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 165.665 * * [simplify]: iters left: 6 (38 enodes) 165.686 * * [simplify]: iters left: 5 (173 enodes) 165.759 * * [simplify]: iters left: 4 (485 enodes) 166.063 * * [simplify]: Extracting #0: cost 1 inf + 0 166.064 * * [simplify]: Extracting #1: cost 3 inf + 0 166.064 * * [simplify]: Extracting #2: cost 26 inf + 0 166.064 * * [simplify]: Extracting #3: cost 352 inf + 0 166.069 * * [simplify]: Extracting #4: cost 844 inf + 990 166.081 * * [simplify]: Extracting #5: cost 880 inf + 19474 166.112 * * [simplify]: Extracting #6: cost 619 inf + 84712 166.158 * * [simplify]: Extracting #7: cost 337 inf + 197328 166.242 * * [simplify]: Extracting #8: cost 28 inf + 365696 166.338 * * [simplify]: Extracting #9: cost 0 inf + 384188 166.476 * [simplify]: Simplified to (sqrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2))))) 166.477 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 166.477 * * * * [progress]: [ 69 / 116 ] simplifiying candidate # 166.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 166.477 * * [simplify]: iters left: 6 (31 enodes) 166.486 * * [simplify]: iters left: 5 (132 enodes) 166.533 * * [simplify]: iters left: 4 (357 enodes) 166.719 * * [simplify]: Extracting #0: cost 1 inf + 0 166.719 * * [simplify]: Extracting #1: cost 3 inf + 0 166.719 * * [simplify]: Extracting #2: cost 22 inf + 0 166.720 * * [simplify]: Extracting #3: cost 232 inf + 0 166.723 * * [simplify]: Extracting #4: cost 600 inf + 500 166.731 * * [simplify]: Extracting #5: cost 604 inf + 12392 166.750 * * [simplify]: Extracting #6: cost 409 inf + 54146 166.796 * * [simplify]: Extracting #7: cost 216 inf + 125963 166.856 * * [simplify]: Extracting #8: cost 30 inf + 218912 166.915 * * [simplify]: Extracting #9: cost 0 inf + 233577 166.970 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (- lambda1 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) 166.970 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (- lambda1 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 166.971 * * * * [progress]: [ 70 / 116 ] simplifiying candidate # 166.971 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 166.971 * * [simplify]: iters left: 6 (37 enodes) 166.991 * * [simplify]: iters left: 5 (165 enodes) 167.041 * * [simplify]: iters left: 4 (428 enodes) 167.246 * * [simplify]: Extracting #0: cost 1 inf + 0 167.246 * * [simplify]: Extracting #1: cost 3 inf + 0 167.246 * * [simplify]: Extracting #2: cost 21 inf + 0 167.247 * * [simplify]: Extracting #3: cost 308 inf + 0 167.254 * * [simplify]: Extracting #4: cost 739 inf + 335 167.258 * * [simplify]: Extracting #5: cost 810 inf + 8312 167.267 * * [simplify]: Extracting #6: cost 640 inf + 46085 167.296 * * [simplify]: Extracting #7: cost 418 inf + 113453 167.370 * * [simplify]: Extracting #8: cost 204 inf + 214581 167.503 * * [simplify]: Extracting #9: cost 11 inf + 327771 167.578 * * [simplify]: Extracting #10: cost 0 inf + 335724 167.669 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) 167.669 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 167.670 * * * * [progress]: [ 71 / 116 ] simplifiying candidate # 167.670 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 167.670 * * [simplify]: iters left: 6 (31 enodes) 167.679 * * [simplify]: iters left: 5 (132 enodes) 167.707 * * [simplify]: iters left: 4 (348 enodes) 167.938 * * [simplify]: Extracting #0: cost 1 inf + 0 167.938 * * [simplify]: Extracting #1: cost 3 inf + 0 167.938 * * [simplify]: Extracting #2: cost 16 inf + 0 167.939 * * [simplify]: Extracting #3: cost 248 inf + 0 167.942 * * [simplify]: Extracting #4: cost 572 inf + 917 167.951 * * [simplify]: Extracting #5: cost 576 inf + 17482 167.978 * * [simplify]: Extracting #6: cost 395 inf + 55882 168.018 * * [simplify]: Extracting #7: cost 226 inf + 116236 168.097 * * [simplify]: Extracting #8: cost 37 inf + 212071 168.149 * * [simplify]: Extracting #9: cost 0 inf + 230986 168.231 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (- lambda1 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (+ lambda1 lambda2)))) 168.231 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (- lambda1 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 168.231 * * * * [progress]: [ 72 / 116 ] simplifiying candidate # 168.231 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 168.232 * * [simplify]: iters left: 6 (37 enodes) 168.253 * * [simplify]: iters left: 5 (165 enodes) 168.318 * * [simplify]: iters left: 4 (428 enodes) 168.617 * * [simplify]: Extracting #0: cost 1 inf + 0 168.617 * * [simplify]: Extracting #1: cost 3 inf + 0 168.617 * * [simplify]: Extracting #2: cost 21 inf + 0 168.617 * * [simplify]: Extracting #3: cost 291 inf + 0 168.619 * * [simplify]: Extracting #4: cost 698 inf + 458 168.624 * * [simplify]: Extracting #5: cost 796 inf + 9067 168.633 * * [simplify]: Extracting #6: cost 642 inf + 44543 168.670 * * [simplify]: Extracting #7: cost 436 inf + 106204 168.718 * * [simplify]: Extracting #8: cost 213 inf + 208733 168.819 * * [simplify]: Extracting #9: cost 11 inf + 326191 168.927 * * [simplify]: Extracting #10: cost 0 inf + 333983 169.036 * [simplify]: Simplified to (sqrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))))) 169.036 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ lambda1 lambda2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 169.036 * * * * [progress]: [ 73 / 116 ] simplifiying candidate # 169.037 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 169.037 * * [simplify]: iters left: 6 (31 enodes) 169.053 * * [simplify]: iters left: 5 (132 enodes) 169.093 * * [simplify]: iters left: 4 (348 enodes) 169.328 * * [simplify]: Extracting #0: cost 1 inf + 0 169.328 * * [simplify]: Extracting #1: cost 3 inf + 0 169.328 * * [simplify]: Extracting #2: cost 16 inf + 0 169.329 * * [simplify]: Extracting #3: cost 243 inf + 0 169.332 * * [simplify]: Extracting #4: cost 574 inf + 420 169.339 * * [simplify]: Extracting #5: cost 621 inf + 10145 169.353 * * [simplify]: Extracting #6: cost 358 inf + 76466 169.408 * * [simplify]: Extracting #7: cost 52 inf + 203313 169.485 * * [simplify]: Extracting #8: cost 2 inf + 229431 169.551 * * [simplify]: Extracting #9: cost 0 inf + 230399 169.601 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))))) 169.601 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 169.602 * * * * [progress]: [ 74 / 116 ] simplifiying candidate # 169.602 * [simplify]: Simplifying (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) 169.602 * * [simplify]: iters left: 6 (25 enodes) 169.609 * * [simplify]: iters left: 5 (111 enodes) 169.634 * * [simplify]: iters left: 4 (282 enodes) 169.794 * * [simplify]: Extracting #0: cost 1 inf + 0 169.795 * * [simplify]: Extracting #1: cost 3 inf + 0 169.795 * * [simplify]: Extracting #2: cost 6 inf + 0 169.795 * * [simplify]: Extracting #3: cost 92 inf + 0 169.796 * * [simplify]: Extracting #4: cost 419 inf + 2 169.798 * * [simplify]: Extracting #5: cost 488 inf + 2151 169.802 * * [simplify]: Extracting #6: cost 399 inf + 18401 169.822 * * [simplify]: Extracting #7: cost 253 inf + 66585 169.879 * * [simplify]: Extracting #8: cost 53 inf + 166471 169.946 * * [simplify]: Extracting #9: cost 0 inf + 194055 170.009 * * [simplify]: Extracting #10: cost 0 inf + 193255 170.085 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 170.085 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))) 170.086 * * * * [progress]: [ 75 / 116 ] simplifiying candidate # 170.086 * [simplify]: Simplifying (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 170.086 * * [simplify]: iters left: 6 (24 enodes) 170.097 * * [simplify]: iters left: 5 (106 enodes) 170.132 * * [simplify]: iters left: 4 (276 enodes) 170.258 * * [simplify]: Extracting #0: cost 1 inf + 0 170.258 * * [simplify]: Extracting #1: cost 3 inf + 0 170.258 * * [simplify]: Extracting #2: cost 21 inf + 0 170.258 * * [simplify]: Extracting #3: cost 122 inf + 0 170.260 * * [simplify]: Extracting #4: cost 443 inf + 1 170.264 * * [simplify]: Extracting #5: cost 476 inf + 3302 170.274 * * [simplify]: Extracting #6: cost 331 inf + 44839 170.307 * * [simplify]: Extracting #7: cost 69 inf + 150250 170.350 * * [simplify]: Extracting #8: cost 1 inf + 182255 170.394 * * [simplify]: Extracting #9: cost 0 inf + 182598 170.453 * [simplify]: Simplified to (sqrt (- (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 170.453 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (- (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))) 170.453 * * * * [progress]: [ 76 / 116 ] simplifiying candidate # 170.454 * [simplify]: Simplifying (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))) 170.454 * * [simplify]: iters left: 6 (21 enodes) 170.459 * * [simplify]: iters left: 5 (82 enodes) 170.474 * * [simplify]: iters left: 4 (149 enodes) 170.538 * * [simplify]: iters left: 3 (492 enodes) 170.870 * * [simplify]: Extracting #0: cost 1 inf + 0 170.870 * * [simplify]: Extracting #1: cost 17 inf + 0 170.871 * * [simplify]: Extracting #2: cost 171 inf + 0 170.872 * * [simplify]: Extracting #3: cost 335 inf + 44 170.876 * * [simplify]: Extracting #4: cost 343 inf + 1647 170.881 * * [simplify]: Extracting #5: cost 263 inf + 36441 170.911 * * [simplify]: Extracting #6: cost 57 inf + 126215 170.970 * * [simplify]: Extracting #7: cost 0 inf + 144777 171.012 * * [simplify]: Extracting #8: cost 0 inf + 143729 171.057 * [simplify]: Simplified to (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2))) 171.057 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2))) (/ 1 2)))) 171.057 * * * * [progress]: [ 77 / 116 ] simplifiying candidate # 171.058 * * * * [progress]: [ 78 / 116 ] simplifiying candidate # 171.058 * [simplify]: Simplifying (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) 171.058 * * [simplify]: iters left: 6 (22 enodes) 171.069 * * [simplify]: iters left: 5 (85 enodes) 171.094 * * [simplify]: iters left: 4 (152 enodes) 171.137 * * [simplify]: iters left: 3 (495 enodes) 171.434 * * [simplify]: Extracting #0: cost 1 inf + 0 171.434 * * [simplify]: Extracting #1: cost 3 inf + 0 171.434 * * [simplify]: Extracting #2: cost 20 inf + 0 171.434 * * [simplify]: Extracting #3: cost 152 inf + 0 171.435 * * [simplify]: Extracting #4: cost 317 inf + 44 171.436 * * [simplify]: Extracting #5: cost 330 inf + 1519 171.443 * * [simplify]: Extracting #6: cost 300 inf + 12256 171.456 * * [simplify]: Extracting #7: cost 138 inf + 80653 171.486 * * [simplify]: Extracting #8: cost 4 inf + 134643 171.516 * * [simplify]: Extracting #9: cost 0 inf + 135804 171.551 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))) 171.551 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (fabs (sqrt (+ (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2))))))) 171.551 * * * * [progress]: [ 79 / 116 ] simplifiying candidate # 171.551 * * * * [progress]: [ 80 / 116 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))> 171.551 * * * * [progress]: [ 81 / 116 ] simplifiying candidate # 171.551 * * * * [progress]: [ 82 / 116 ] simplifiying candidate # 171.551 * * * * [progress]: [ 83 / 116 ] simplifiying candidate # 171.551 * * * * [progress]: [ 84 / 116 ] simplifiying candidate # 171.551 * * * * [progress]: [ 85 / 116 ] simplifiying candidate # 171.551 * * * * [progress]: [ 86 / 116 ] simplifiying candidate # 171.551 * * * * [progress]: [ 87 / 116 ] simplifiying candidate # 171.551 * * * * [progress]: [ 88 / 116 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))))) (* (- phi1 phi2) (- phi1 phi2))))))> 171.552 * * * * [progress]: [ 89 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 90 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 91 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 92 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 93 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 94 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 95 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 96 / 116 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2))))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 171.552 * * * * [progress]: [ 97 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 98 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 99 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 100 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 101 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 102 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 103 / 116 ] simplifiying candidate # 171.552 * * * * [progress]: [ 104 / 116 ] simplifiying candidate #real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))> 171.552 * * * * [progress]: [ 105 / 116 ] simplifiying candidate # 171.553 * [simplify]: Simplifying (- phi2 phi1) 171.553 * * [simplify]: iters left: 2 (3 enodes) 171.554 * * [simplify]: iters left: 1 (11 enodes) 171.557 * * [simplify]: Extracting #0: cost 1 inf + 0 171.557 * * [simplify]: Extracting #1: cost 5 inf + 0 171.557 * * [simplify]: Extracting #2: cost 3 inf + 43 171.557 * * [simplify]: Extracting #3: cost 0 inf + 168 171.557 * [simplify]: Simplified to (- phi2 phi1) 171.557 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- phi2 phi1))) 171.557 * * * * [progress]: [ 106 / 116 ] simplifiying candidate # 171.558 * [simplify]: Simplifying (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 171.558 * * [simplify]: iters left: 6 (20 enodes) 171.567 * * [simplify]: iters left: 5 (101 enodes) 171.592 * * [simplify]: iters left: 4 (236 enodes) 171.677 * * [simplify]: Extracting #0: cost 1 inf + 0 171.677 * * [simplify]: Extracting #1: cost 17 inf + 0 171.677 * * [simplify]: Extracting #2: cost 108 inf + 0 171.678 * * [simplify]: Extracting #3: cost 193 inf + 1478 171.681 * * [simplify]: Extracting #4: cost 170 inf + 5958 171.684 * * [simplify]: Extracting #5: cost 99 inf + 20187 171.694 * * [simplify]: Extracting #6: cost 5 inf + 47270 171.704 * * [simplify]: Extracting #7: cost 0 inf + 49274 171.720 * [simplify]: Simplified to (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))) 171.720 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))) 171.720 * * * * [progress]: [ 107 / 116 ] simplifiying candidate # 171.720 * [simplify]: Simplifying (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 171.721 * * [simplify]: iters left: 6 (19 enodes) 171.730 * * [simplify]: iters left: 5 (95 enodes) 171.752 * * [simplify]: iters left: 4 (213 enodes) 171.797 * * [simplify]: Extracting #0: cost 1 inf + 0 171.797 * * [simplify]: Extracting #1: cost 8 inf + 0 171.797 * * [simplify]: Extracting #2: cost 96 inf + 0 171.797 * * [simplify]: Extracting #3: cost 156 inf + 460 171.798 * * [simplify]: Extracting #4: cost 113 inf + 5242 171.800 * * [simplify]: Extracting #5: cost 93 inf + 7303 171.804 * * [simplify]: Extracting #6: cost 32 inf + 21983 171.813 * * [simplify]: Extracting #7: cost 1 inf + 30137 171.822 * * [simplify]: Extracting #8: cost 0 inf + 30482 171.829 * [simplify]: Simplified to (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))) 171.829 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1))))))) 171.829 * * * * [progress]: [ 108 / 116 ] simplifiying candidate # 171.829 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 171.829 * * [simplify]: iters left: 6 (12 enodes) 171.833 * * [simplify]: iters left: 5 (52 enodes) 171.845 * * [simplify]: iters left: 4 (79 enodes) 171.860 * * [simplify]: iters left: 3 (149 enodes) 171.887 * * [simplify]: iters left: 2 (242 enodes) 171.971 * * [simplify]: iters left: 1 (300 enodes) 172.027 * * [simplify]: Extracting #0: cost 1 inf + 0 172.027 * * [simplify]: Extracting #1: cost 19 inf + 0 172.028 * * [simplify]: Extracting #2: cost 52 inf + 2 172.028 * * [simplify]: Extracting #3: cost 51 inf + 1156 172.029 * * [simplify]: Extracting #4: cost 13 inf + 4737 172.031 * * [simplify]: Extracting #5: cost 0 inf + 6466 172.033 * * [simplify]: Extracting #6: cost 0 inf + 6426 172.035 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 172.035 * [simplify]: Simplified (2 2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))))))) (* (- phi1 phi2) (- phi1 phi2)))))) 172.035 * * * * [progress]: [ 109 / 116 ] simplifiying candidate # 172.035 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 172.035 * * [simplify]: iters left: 5 (6 enodes) 172.037 * * [simplify]: iters left: 4 (26 enodes) 172.042 * * [simplify]: iters left: 3 (36 enodes) 172.049 * * [simplify]: Extracting #0: cost 1 inf + 0 172.049 * * [simplify]: Extracting #1: cost 3 inf + 0 172.049 * * [simplify]: Extracting #2: cost 8 inf + 0 172.049 * * [simplify]: Extracting #3: cost 12 inf + 1 172.049 * * [simplify]: Extracting #4: cost 7 inf + 129 172.049 * * [simplify]: Extracting #5: cost 1 inf + 564 172.050 * * [simplify]: Extracting #6: cost 0 inf + 707 172.050 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 172.050 * [simplify]: Simplified (2 2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (* (+ phi1 phi2) 1/2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 172.050 * * * * [progress]: [ 110 / 116 ] simplifiying candidate # 172.051 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 172.051 * * [simplify]: iters left: 5 (6 enodes) 172.054 * * [simplify]: iters left: 4 (26 enodes) 172.063 * * [simplify]: iters left: 3 (36 enodes) 172.071 * * [simplify]: Extracting #0: cost 1 inf + 0 172.071 * * [simplify]: Extracting #1: cost 3 inf + 0 172.071 * * [simplify]: Extracting #2: cost 8 inf + 0 172.071 * * [simplify]: Extracting #3: cost 12 inf + 1 172.071 * * [simplify]: Extracting #4: cost 7 inf + 129 172.072 * * [simplify]: Extracting #5: cost 1 inf + 564 172.072 * * [simplify]: Extracting #6: cost 0 inf + 707 172.072 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 172.072 * [simplify]: Simplified (2 2 1 1 2 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (* (+ phi1 phi2) 1/2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 172.073 * * * * [progress]: [ 111 / 116 ] simplifiying candidate # 172.073 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 172.073 * * [simplify]: iters left: 6 (12 enodes) 172.080 * * [simplify]: iters left: 5 (52 enodes) 172.097 * * [simplify]: iters left: 4 (79 enodes) 172.128 * * [simplify]: iters left: 3 (149 enodes) 172.156 * * [simplify]: iters left: 2 (242 enodes) 172.209 * * [simplify]: iters left: 1 (300 enodes) 172.279 * * [simplify]: Extracting #0: cost 1 inf + 0 172.279 * * [simplify]: Extracting #1: cost 19 inf + 0 172.280 * * [simplify]: Extracting #2: cost 52 inf + 2 172.280 * * [simplify]: Extracting #3: cost 51 inf + 1156 172.281 * * [simplify]: Extracting #4: cost 13 inf + 4737 172.283 * * [simplify]: Extracting #5: cost 0 inf + 6466 172.285 * * [simplify]: Extracting #6: cost 0 inf + 6426 172.287 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 172.287 * [simplify]: Simplified (2 2 1 1 2 2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8))))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 172.287 * * * * [progress]: [ 112 / 116 ] simplifiying candidate # 172.287 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 172.287 * * [simplify]: iters left: 5 (6 enodes) 172.290 * * [simplify]: iters left: 4 (26 enodes) 172.299 * * [simplify]: iters left: 3 (36 enodes) 172.305 * * [simplify]: Extracting #0: cost 1 inf + 0 172.306 * * [simplify]: Extracting #1: cost 3 inf + 0 172.306 * * [simplify]: Extracting #2: cost 8 inf + 0 172.306 * * [simplify]: Extracting #3: cost 12 inf + 1 172.306 * * [simplify]: Extracting #4: cost 7 inf + 129 172.306 * * [simplify]: Extracting #5: cost 1 inf + 564 172.306 * * [simplify]: Extracting #6: cost 0 inf + 707 172.306 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 172.306 * [simplify]: Simplified (2 2 1 1 2 2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (* (+ phi1 phi2) 1/2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 172.306 * * * * [progress]: [ 113 / 116 ] simplifiying candidate # 172.307 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 172.307 * * [simplify]: iters left: 5 (6 enodes) 172.309 * * [simplify]: iters left: 4 (26 enodes) 172.313 * * [simplify]: iters left: 3 (36 enodes) 172.318 * * [simplify]: Extracting #0: cost 1 inf + 0 172.318 * * [simplify]: Extracting #1: cost 3 inf + 0 172.318 * * [simplify]: Extracting #2: cost 8 inf + 0 172.318 * * [simplify]: Extracting #3: cost 12 inf + 1 172.318 * * [simplify]: Extracting #4: cost 7 inf + 129 172.318 * * [simplify]: Extracting #5: cost 1 inf + 564 172.319 * * [simplify]: Extracting #6: cost 0 inf + 707 172.319 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 172.319 * [simplify]: Simplified (2 2 1 1 2 2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (* (+ phi1 phi2) 1/2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 172.319 * * * * [progress]: [ 114 / 116 ] simplifiying candidate # 172.319 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 172.319 * * [simplify]: iters left: 6 (12 enodes) 172.326 * * [simplify]: iters left: 5 (52 enodes) 172.345 * * [simplify]: iters left: 4 (79 enodes) 172.375 * * [simplify]: iters left: 3 (149 enodes) 172.421 * * [simplify]: iters left: 2 (242 enodes) 172.509 * * [simplify]: iters left: 1 (300 enodes) 172.604 * * [simplify]: Extracting #0: cost 1 inf + 0 172.604 * * [simplify]: Extracting #1: cost 19 inf + 0 172.605 * * [simplify]: Extracting #2: cost 52 inf + 2 172.605 * * [simplify]: Extracting #3: cost 51 inf + 1156 172.608 * * [simplify]: Extracting #4: cost 13 inf + 4737 172.612 * * [simplify]: Extracting #5: cost 0 inf + 6466 172.615 * * [simplify]: Extracting #6: cost 0 inf + 6426 172.619 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))) 172.619 * [simplify]: Simplified (2 2 1 1 2 2 1 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 172.619 * * * * [progress]: [ 115 / 116 ] simplifiying candidate # 172.620 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 172.620 * * [simplify]: iters left: 5 (6 enodes) 172.623 * * [simplify]: iters left: 4 (26 enodes) 172.632 * * [simplify]: iters left: 3 (36 enodes) 172.641 * * [simplify]: Extracting #0: cost 1 inf + 0 172.641 * * [simplify]: Extracting #1: cost 3 inf + 0 172.641 * * [simplify]: Extracting #2: cost 8 inf + 0 172.641 * * [simplify]: Extracting #3: cost 12 inf + 1 172.641 * * [simplify]: Extracting #4: cost 7 inf + 129 172.642 * * [simplify]: Extracting #5: cost 1 inf + 564 172.642 * * [simplify]: Extracting #6: cost 0 inf + 707 172.643 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 172.643 * [simplify]: Simplified (2 2 1 1 2 2 1 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (* (+ phi1 phi2) 1/2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 172.643 * * * * [progress]: [ 116 / 116 ] simplifiying candidate # 172.643 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2))) 172.643 * * [simplify]: iters left: 5 (6 enodes) 172.647 * * [simplify]: iters left: 4 (26 enodes) 172.656 * * [simplify]: iters left: 3 (36 enodes) 172.665 * * [simplify]: Extracting #0: cost 1 inf + 0 172.665 * * [simplify]: Extracting #1: cost 3 inf + 0 172.665 * * [simplify]: Extracting #2: cost 8 inf + 0 172.665 * * [simplify]: Extracting #3: cost 12 inf + 1 172.665 * * [simplify]: Extracting #4: cost 7 inf + 129 172.665 * * [simplify]: Extracting #5: cost 1 inf + 564 172.666 * * [simplify]: Extracting #6: cost 0 inf + 707 172.666 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2)) 172.666 * [simplify]: Simplified (2 2 1 1 2 2 1 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (* (+ phi1 phi2) 1/2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 172.667 * * * [progress]: adding candidates to table 175.556 * * [progress]: iteration 4 / 4 175.556 * * * [progress]: picking best candidate 175.653 * * * * [pick]: Picked # 175.653 * * * [progress]: localizing error 175.751 * * * [progress]: generating rewritten candidates 175.751 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 176.155 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 176.194 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 176.251 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 177.905 * * * [progress]: generating series expansions 177.905 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 177.907 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) 177.907 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 177.907 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 177.907 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 177.907 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 177.907 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 177.907 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 177.907 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 177.907 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 177.907 * [taylor]: Taking taylor expansion of 1/2 in phi2 177.907 * [backup-simplify]: Simplify 1/2 into 1/2 177.907 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 177.907 * [taylor]: Taking taylor expansion of phi1 in phi2 177.907 * [backup-simplify]: Simplify phi1 into phi1 177.907 * [taylor]: Taking taylor expansion of phi2 in phi2 177.907 * [backup-simplify]: Simplify 0 into 0 177.907 * [backup-simplify]: Simplify 1 into 1 177.907 * [backup-simplify]: Simplify (+ phi1 0) into phi1 177.907 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 177.907 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 177.907 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 177.908 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 177.908 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 177.909 * [backup-simplify]: Simplify (- 0) into 0 177.909 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 177.909 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 177.909 * [taylor]: Taking taylor expansion of lambda1 in phi2 177.909 * [backup-simplify]: Simplify lambda1 into lambda1 177.909 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 177.909 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 177.909 * [taylor]: Taking taylor expansion of phi2 in phi2 177.909 * [backup-simplify]: Simplify 0 into 0 177.909 * [backup-simplify]: Simplify 1 into 1 177.909 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 177.909 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 177.909 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 177.909 * [taylor]: Taking taylor expansion of lambda2 in phi2 177.909 * [backup-simplify]: Simplify lambda2 into lambda2 177.909 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 177.909 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 177.909 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 177.909 * [taylor]: Taking taylor expansion of 1/2 in phi2 177.910 * [backup-simplify]: Simplify 1/2 into 1/2 177.910 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 177.910 * [taylor]: Taking taylor expansion of phi1 in phi2 177.910 * [backup-simplify]: Simplify phi1 into phi1 177.910 * [taylor]: Taking taylor expansion of phi2 in phi2 177.910 * [backup-simplify]: Simplify 0 into 0 177.910 * [backup-simplify]: Simplify 1 into 1 177.910 * [backup-simplify]: Simplify (+ phi1 0) into phi1 177.910 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 177.910 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 177.910 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 177.910 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 177.910 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 177.911 * [backup-simplify]: Simplify (- 0) into 0 177.911 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 177.911 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 177.911 * [taylor]: Taking taylor expansion of phi1 in phi2 177.911 * [backup-simplify]: Simplify phi1 into phi1 177.911 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 177.911 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 177.911 * [taylor]: Taking taylor expansion of 2 in phi2 177.911 * [backup-simplify]: Simplify 2 into 2 177.911 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 177.911 * [taylor]: Taking taylor expansion of phi1 in phi2 177.911 * [backup-simplify]: Simplify phi1 into phi1 177.911 * [taylor]: Taking taylor expansion of phi2 in phi2 177.911 * [backup-simplify]: Simplify 0 into 0 177.911 * [backup-simplify]: Simplify 1 into 1 177.911 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 177.911 * [taylor]: Taking taylor expansion of 2 in phi2 177.911 * [backup-simplify]: Simplify 2 into 2 177.911 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 177.911 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 177.911 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 177.911 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 177.911 * [taylor]: Taking taylor expansion of 1/2 in phi2 177.911 * [backup-simplify]: Simplify 1/2 into 1/2 177.911 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 177.911 * [taylor]: Taking taylor expansion of phi1 in phi2 177.911 * [backup-simplify]: Simplify phi1 into phi1 177.911 * [taylor]: Taking taylor expansion of phi2 in phi2 177.911 * [backup-simplify]: Simplify 0 into 0 177.911 * [backup-simplify]: Simplify 1 into 1 177.911 * [backup-simplify]: Simplify (+ phi1 0) into phi1 177.911 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 177.912 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 177.912 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 177.912 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 177.912 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 177.912 * [backup-simplify]: Simplify (- 0) into 0 177.913 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 177.913 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 177.913 * [taylor]: Taking taylor expansion of lambda2 in phi2 177.913 * [backup-simplify]: Simplify lambda2 into lambda2 177.913 * [taylor]: Taking taylor expansion of lambda1 in phi2 177.913 * [backup-simplify]: Simplify lambda1 into lambda1 177.913 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 177.913 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 177.913 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 177.913 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 177.913 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 177.913 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 177.913 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 177.914 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 177.914 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 177.915 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 177.915 * [backup-simplify]: Simplify (* phi1 0) into 0 177.915 * [backup-simplify]: Simplify (* 2 0) into 0 177.915 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 177.915 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 177.916 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 177.916 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 177.916 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 177.916 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 177.917 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 177.918 * [backup-simplify]: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 177.918 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 177.919 * [backup-simplify]: Simplify (+ 0) into 0 177.919 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 177.920 * [backup-simplify]: Simplify (+ 0 1) into 1 177.920 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 177.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 177.922 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 177.922 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 177.922 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 177.922 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 177.923 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) 177.923 * [backup-simplify]: Simplify (+ 0) into 0 177.924 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 177.924 * [backup-simplify]: Simplify (+ 0 1) into 1 177.925 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 177.926 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 177.926 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 177.926 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 177.926 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 177.927 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 177.927 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 177.927 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 177.927 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 177.928 * [backup-simplify]: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 177.928 * [backup-simplify]: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 177.928 * [backup-simplify]: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) 177.929 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 177.929 * [backup-simplify]: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1) 177.930 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 177.930 * [backup-simplify]: Simplify (+ 0) into 0 177.930 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 177.931 * [backup-simplify]: Simplify (+ 0 1) into 1 177.931 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 177.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 177.933 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 177.933 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 177.933 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 177.933 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 177.934 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) 177.934 * [backup-simplify]: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 177.934 * [backup-simplify]: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 177.935 * [backup-simplify]: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1)) 177.936 * [backup-simplify]: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 177.938 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))))) 177.938 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 177.938 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 177.938 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 177.938 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 177.938 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 177.938 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 177.938 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 177.938 * [taylor]: Taking taylor expansion of 1/2 in phi1 177.938 * [backup-simplify]: Simplify 1/2 into 1/2 177.938 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 177.938 * [taylor]: Taking taylor expansion of phi1 in phi1 177.938 * [backup-simplify]: Simplify 0 into 0 177.938 * [backup-simplify]: Simplify 1 into 1 177.938 * [taylor]: Taking taylor expansion of phi2 in phi1 177.938 * [backup-simplify]: Simplify phi2 into phi2 177.938 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 177.938 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 177.938 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 177.938 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 177.939 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 177.939 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 177.939 * [backup-simplify]: Simplify (- 0) into 0 177.939 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 177.939 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 177.939 * [taylor]: Taking taylor expansion of lambda1 in phi1 177.939 * [backup-simplify]: Simplify lambda1 into lambda1 177.939 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 177.939 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 177.939 * [taylor]: Taking taylor expansion of phi2 in phi1 177.939 * [backup-simplify]: Simplify phi2 into phi2 177.940 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 177.940 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 177.940 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 177.940 * [taylor]: Taking taylor expansion of lambda2 in phi1 177.940 * [backup-simplify]: Simplify lambda2 into lambda2 177.940 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 177.940 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 177.940 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 177.940 * [taylor]: Taking taylor expansion of 1/2 in phi1 177.940 * [backup-simplify]: Simplify 1/2 into 1/2 177.940 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 177.940 * [taylor]: Taking taylor expansion of phi1 in phi1 177.940 * [backup-simplify]: Simplify 0 into 0 177.940 * [backup-simplify]: Simplify 1 into 1 177.940 * [taylor]: Taking taylor expansion of phi2 in phi1 177.940 * [backup-simplify]: Simplify phi2 into phi2 177.940 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 177.940 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 177.940 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 177.940 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 177.940 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 177.940 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 177.941 * [backup-simplify]: Simplify (- 0) into 0 177.941 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 177.941 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 177.941 * [taylor]: Taking taylor expansion of phi1 in phi1 177.941 * [backup-simplify]: Simplify 0 into 0 177.941 * [backup-simplify]: Simplify 1 into 1 177.941 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 177.941 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 177.941 * [taylor]: Taking taylor expansion of 2 in phi1 177.941 * [backup-simplify]: Simplify 2 into 2 177.941 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 177.941 * [taylor]: Taking taylor expansion of phi1 in phi1 177.941 * [backup-simplify]: Simplify 0 into 0 177.941 * [backup-simplify]: Simplify 1 into 1 177.941 * [taylor]: Taking taylor expansion of phi2 in phi1 177.941 * [backup-simplify]: Simplify phi2 into phi2 177.941 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 177.941 * [taylor]: Taking taylor expansion of 2 in phi1 177.941 * [backup-simplify]: Simplify 2 into 2 177.941 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 177.941 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 177.941 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 177.941 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 177.942 * [taylor]: Taking taylor expansion of 1/2 in phi1 177.942 * [backup-simplify]: Simplify 1/2 into 1/2 177.942 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 177.942 * [taylor]: Taking taylor expansion of phi1 in phi1 177.942 * [backup-simplify]: Simplify 0 into 0 177.942 * [backup-simplify]: Simplify 1 into 1 177.942 * [taylor]: Taking taylor expansion of phi2 in phi1 177.942 * [backup-simplify]: Simplify phi2 into phi2 177.942 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 177.942 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 177.942 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 177.942 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 177.942 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 177.942 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 177.943 * [backup-simplify]: Simplify (- 0) into 0 177.943 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 177.943 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 177.943 * [taylor]: Taking taylor expansion of lambda2 in phi1 177.943 * [backup-simplify]: Simplify lambda2 into lambda2 177.943 * [taylor]: Taking taylor expansion of lambda1 in phi1 177.943 * [backup-simplify]: Simplify lambda1 into lambda1 177.943 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 177.943 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 177.943 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 177.943 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 177.943 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 177.943 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 177.943 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 177.944 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 177.944 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 177.944 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 177.945 * [backup-simplify]: Simplify (* 0 phi2) into 0 177.945 * [backup-simplify]: Simplify (* 2 0) into 0 177.945 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 177.945 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 177.945 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 177.946 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 177.946 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 177.946 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 177.947 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 177.948 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 177.948 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 177.948 * [backup-simplify]: Simplify (+ 0) into 0 177.949 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 177.949 * [backup-simplify]: Simplify (+ 1 0) into 1 177.949 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 177.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 177.950 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 177.950 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 177.950 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 177.951 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 177.951 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) 177.951 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 177.951 * [backup-simplify]: Simplify (+ 0) into 0 177.952 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 177.952 * [backup-simplify]: Simplify (+ 1 0) into 1 177.986 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 177.987 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 177.987 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 177.987 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 177.987 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 177.987 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 177.987 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 177.988 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 177.988 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 177.989 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 177.990 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) 177.990 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 177.991 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 177.991 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 177.991 * [backup-simplify]: Simplify (+ 0) into 0 177.991 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 177.992 * [backup-simplify]: Simplify (+ 1 0) into 1 177.992 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 177.992 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 177.993 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 177.993 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 177.993 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 177.993 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 177.993 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) 177.994 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 177.994 * [backup-simplify]: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 177.994 * [backup-simplify]: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2)) 177.996 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) 177.998 * [backup-simplify]: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) 177.998 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 177.998 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 177.998 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 177.998 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 177.998 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 177.998 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 177.998 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 177.998 * [taylor]: Taking taylor expansion of 1/2 in lambda2 177.998 * [backup-simplify]: Simplify 1/2 into 1/2 177.998 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 177.998 * [taylor]: Taking taylor expansion of phi1 in lambda2 177.998 * [backup-simplify]: Simplify phi1 into phi1 177.998 * [taylor]: Taking taylor expansion of phi2 in lambda2 177.998 * [backup-simplify]: Simplify phi2 into phi2 177.998 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 177.998 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 177.998 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 177.998 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 177.998 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 177.998 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 177.999 * [backup-simplify]: Simplify (- 0) into 0 177.999 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 177.999 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 177.999 * [taylor]: Taking taylor expansion of lambda1 in lambda2 177.999 * [backup-simplify]: Simplify lambda1 into lambda1 177.999 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 177.999 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 177.999 * [taylor]: Taking taylor expansion of phi2 in lambda2 177.999 * [backup-simplify]: Simplify phi2 into phi2 177.999 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 177.999 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 177.999 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 177.999 * [taylor]: Taking taylor expansion of lambda2 in lambda2 177.999 * [backup-simplify]: Simplify 0 into 0 177.999 * [backup-simplify]: Simplify 1 into 1 177.999 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 177.999 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 177.999 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 177.999 * [taylor]: Taking taylor expansion of 1/2 in lambda2 177.999 * [backup-simplify]: Simplify 1/2 into 1/2 177.999 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 177.999 * [taylor]: Taking taylor expansion of phi1 in lambda2 177.999 * [backup-simplify]: Simplify phi1 into phi1 177.999 * [taylor]: Taking taylor expansion of phi2 in lambda2 177.999 * [backup-simplify]: Simplify phi2 into phi2 177.999 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 177.999 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 177.999 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 177.999 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 177.999 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 177.999 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.000 * [backup-simplify]: Simplify (- 0) into 0 178.000 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.000 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 178.000 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.000 * [backup-simplify]: Simplify phi1 into phi1 178.000 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 178.000 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 178.000 * [taylor]: Taking taylor expansion of 2 in lambda2 178.000 * [backup-simplify]: Simplify 2 into 2 178.000 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 178.000 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.000 * [backup-simplify]: Simplify phi1 into phi1 178.000 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.000 * [backup-simplify]: Simplify phi2 into phi2 178.000 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 178.000 * [taylor]: Taking taylor expansion of 2 in lambda2 178.000 * [backup-simplify]: Simplify 2 into 2 178.000 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 178.000 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.000 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.000 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.000 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.000 * [backup-simplify]: Simplify 1/2 into 1/2 178.000 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.000 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.000 * [backup-simplify]: Simplify phi1 into phi1 178.000 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.000 * [backup-simplify]: Simplify phi2 into phi2 178.000 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.000 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.000 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.000 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.000 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.000 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.001 * [backup-simplify]: Simplify (- 0) into 0 178.001 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.001 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 178.001 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.001 * [backup-simplify]: Simplify 0 into 0 178.001 * [backup-simplify]: Simplify 1 into 1 178.001 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.001 * [backup-simplify]: Simplify lambda1 into lambda1 178.001 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.001 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 178.001 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.001 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.001 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.001 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 178.001 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 178.002 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 178.002 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.002 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 178.002 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.002 * [backup-simplify]: Simplify (* 0 lambda1) into 0 178.002 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 178.002 * [backup-simplify]: Simplify (* 2 0) into 0 178.002 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 178.002 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 178.003 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 178.003 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 178.003 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 178.003 * [backup-simplify]: Simplify (+ 0) into 0 178.004 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 178.004 * [backup-simplify]: Simplify (+ 0 0) into 0 178.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 178.005 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.005 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 178.005 * [backup-simplify]: Simplify (- 0) into 0 178.005 * [backup-simplify]: Simplify (+ 0 0) into 0 178.006 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 178.006 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0 178.006 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.006 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 178.006 * [backup-simplify]: Simplify (+ 0 0) into 0 178.006 * [backup-simplify]: Simplify (+ 0 0) into 0 178.007 * [backup-simplify]: Simplify (+ 0 0) into 0 178.007 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 178.007 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 178.007 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 178.007 * [backup-simplify]: Simplify (+ 0) into 0 178.008 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 178.008 * [backup-simplify]: Simplify (+ 0 0) into 0 178.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 178.009 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.010 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 178.010 * [backup-simplify]: Simplify (- 0) into 0 178.010 * [backup-simplify]: Simplify (+ 0 0) into 0 178.011 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 178.011 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 178.012 * [backup-simplify]: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 178.012 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 178.012 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 178.013 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 178.014 * [backup-simplify]: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))))) 178.014 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 178.014 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 178.014 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 178.014 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 178.014 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 178.014 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 178.014 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 178.014 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.014 * [backup-simplify]: Simplify 1/2 into 1/2 178.014 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 178.014 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.014 * [backup-simplify]: Simplify phi1 into phi1 178.014 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.014 * [backup-simplify]: Simplify phi2 into phi2 178.014 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.014 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.014 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.014 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.014 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.015 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.015 * [backup-simplify]: Simplify (- 0) into 0 178.015 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.015 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 178.015 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.015 * [backup-simplify]: Simplify 0 into 0 178.015 * [backup-simplify]: Simplify 1 into 1 178.015 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 178.015 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 178.015 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.015 * [backup-simplify]: Simplify phi2 into phi2 178.015 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 178.015 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 178.015 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 178.015 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.015 * [backup-simplify]: Simplify lambda2 into lambda2 178.016 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 178.016 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 178.016 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 178.016 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.016 * [backup-simplify]: Simplify 1/2 into 1/2 178.016 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 178.016 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.016 * [backup-simplify]: Simplify phi1 into phi1 178.016 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.016 * [backup-simplify]: Simplify phi2 into phi2 178.016 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.016 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.016 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.016 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.016 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.016 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.017 * [backup-simplify]: Simplify (- 0) into 0 178.017 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.017 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 178.017 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.017 * [backup-simplify]: Simplify phi1 into phi1 178.017 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 178.017 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 178.017 * [taylor]: Taking taylor expansion of 2 in lambda1 178.017 * [backup-simplify]: Simplify 2 into 2 178.017 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 178.017 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.017 * [backup-simplify]: Simplify phi1 into phi1 178.017 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.017 * [backup-simplify]: Simplify phi2 into phi2 178.017 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 178.017 * [taylor]: Taking taylor expansion of 2 in lambda1 178.017 * [backup-simplify]: Simplify 2 into 2 178.017 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 178.017 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 178.017 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 178.017 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 178.017 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.017 * [backup-simplify]: Simplify 1/2 into 1/2 178.017 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 178.017 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.017 * [backup-simplify]: Simplify phi1 into phi1 178.017 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.017 * [backup-simplify]: Simplify phi2 into phi2 178.017 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.017 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.018 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.018 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.018 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.018 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.018 * [backup-simplify]: Simplify (- 0) into 0 178.018 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.018 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 178.018 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.018 * [backup-simplify]: Simplify lambda2 into lambda2 178.018 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.018 * [backup-simplify]: Simplify 0 into 0 178.018 * [backup-simplify]: Simplify 1 into 1 178.019 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.019 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 178.019 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.019 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.019 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.019 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 178.020 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 178.020 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 178.020 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.020 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 178.021 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.021 * [backup-simplify]: Simplify (* lambda2 0) into 0 178.021 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 178.021 * [backup-simplify]: Simplify (* 2 0) into 0 178.021 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 178.022 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 178.022 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 178.023 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 178.023 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.023 * [backup-simplify]: Simplify (+ 0) into 0 178.024 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 178.024 * [backup-simplify]: Simplify (+ 0 0) into 0 178.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 178.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.026 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 178.026 * [backup-simplify]: Simplify (- 0) into 0 178.027 * [backup-simplify]: Simplify (+ 0 0) into 0 178.027 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 178.027 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 178.027 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 178.027 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 178.027 * [backup-simplify]: Simplify (+ 0 0) into 0 178.028 * [backup-simplify]: Simplify (+ 0 0) into 0 178.028 * [backup-simplify]: Simplify (+ 0 0) into 0 178.028 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 178.029 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 178.029 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 178.030 * [backup-simplify]: Simplify (+ 0) into 0 178.030 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 178.031 * [backup-simplify]: Simplify (+ 0 0) into 0 178.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 178.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.032 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 178.033 * [backup-simplify]: Simplify (- 0) into 0 178.033 * [backup-simplify]: Simplify (+ 0 0) into 0 178.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 178.034 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.034 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 178.035 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 178.035 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 178.035 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 178.036 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 178.036 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 178.036 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 178.036 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 178.036 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 178.036 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 178.037 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 178.037 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 178.037 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.037 * [backup-simplify]: Simplify 1/2 into 1/2 178.037 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 178.037 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.037 * [backup-simplify]: Simplify phi1 into phi1 178.037 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.037 * [backup-simplify]: Simplify phi2 into phi2 178.037 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.037 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.037 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.037 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.037 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.037 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.038 * [backup-simplify]: Simplify (- 0) into 0 178.038 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.038 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 178.038 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.038 * [backup-simplify]: Simplify 0 into 0 178.038 * [backup-simplify]: Simplify 1 into 1 178.038 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 178.038 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 178.038 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.038 * [backup-simplify]: Simplify phi2 into phi2 178.038 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 178.038 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 178.038 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 178.038 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.038 * [backup-simplify]: Simplify lambda2 into lambda2 178.038 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 178.038 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 178.038 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 178.038 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.038 * [backup-simplify]: Simplify 1/2 into 1/2 178.038 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 178.038 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.038 * [backup-simplify]: Simplify phi1 into phi1 178.038 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.039 * [backup-simplify]: Simplify phi2 into phi2 178.039 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.039 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.039 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.039 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.039 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.039 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.039 * [backup-simplify]: Simplify (- 0) into 0 178.040 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.040 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 178.040 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.040 * [backup-simplify]: Simplify phi1 into phi1 178.040 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 178.040 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 178.040 * [taylor]: Taking taylor expansion of 2 in lambda1 178.040 * [backup-simplify]: Simplify 2 into 2 178.040 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 178.040 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.040 * [backup-simplify]: Simplify phi1 into phi1 178.040 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.040 * [backup-simplify]: Simplify phi2 into phi2 178.040 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 178.040 * [taylor]: Taking taylor expansion of 2 in lambda1 178.040 * [backup-simplify]: Simplify 2 into 2 178.040 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 178.040 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 178.040 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 178.040 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 178.040 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.040 * [backup-simplify]: Simplify 1/2 into 1/2 178.040 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 178.040 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.040 * [backup-simplify]: Simplify phi1 into phi1 178.040 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.040 * [backup-simplify]: Simplify phi2 into phi2 178.040 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.040 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.040 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.040 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.041 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.041 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.041 * [backup-simplify]: Simplify (- 0) into 0 178.041 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.041 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 178.041 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.041 * [backup-simplify]: Simplify lambda2 into lambda2 178.041 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.041 * [backup-simplify]: Simplify 0 into 0 178.041 * [backup-simplify]: Simplify 1 into 1 178.041 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.041 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 178.042 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.042 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.042 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.042 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 178.043 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 178.043 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 178.043 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.043 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 178.043 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.043 * [backup-simplify]: Simplify (* lambda2 0) into 0 178.044 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 178.044 * [backup-simplify]: Simplify (* 2 0) into 0 178.044 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 178.044 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 178.045 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 178.046 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 178.046 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.046 * [backup-simplify]: Simplify (+ 0) into 0 178.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 178.047 * [backup-simplify]: Simplify (+ 0 0) into 0 178.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 178.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.049 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 178.049 * [backup-simplify]: Simplify (- 0) into 0 178.050 * [backup-simplify]: Simplify (+ 0 0) into 0 178.050 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 178.050 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 178.050 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 178.050 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 178.051 * [backup-simplify]: Simplify (+ 0 0) into 0 178.051 * [backup-simplify]: Simplify (+ 0 0) into 0 178.051 * [backup-simplify]: Simplify (+ 0 0) into 0 178.051 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 178.052 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 178.052 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 178.053 * [backup-simplify]: Simplify (+ 0) into 0 178.053 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 178.054 * [backup-simplify]: Simplify (+ 0 0) into 0 178.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 178.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.056 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 178.056 * [backup-simplify]: Simplify (- 0) into 0 178.056 * [backup-simplify]: Simplify (+ 0 0) into 0 178.057 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 178.057 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.058 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 178.058 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 178.058 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 178.059 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 178.059 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 178.060 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 178.060 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 178.060 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 178.060 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 178.060 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.060 * [backup-simplify]: Simplify phi2 into phi2 178.060 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 178.060 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 178.060 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 178.060 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.060 * [backup-simplify]: Simplify 0 into 0 178.060 * [backup-simplify]: Simplify 1 into 1 178.060 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.060 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.060 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.060 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.060 * [backup-simplify]: Simplify 1/2 into 1/2 178.060 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.060 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.060 * [backup-simplify]: Simplify phi1 into phi1 178.060 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.060 * [backup-simplify]: Simplify phi2 into phi2 178.060 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.060 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.060 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.060 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.061 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.061 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.061 * [backup-simplify]: Simplify (- 0) into 0 178.061 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.061 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 178.061 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.061 * [backup-simplify]: Simplify phi1 into phi1 178.061 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 178.061 * [taylor]: Taking taylor expansion of 2 in lambda2 178.061 * [backup-simplify]: Simplify 2 into 2 178.061 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 178.061 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.062 * [backup-simplify]: Simplify phi1 into phi1 178.062 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.062 * [backup-simplify]: Simplify phi2 into phi2 178.062 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.062 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.062 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 178.062 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 178.062 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.062 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 178.062 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 178.062 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 178.063 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 178.063 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.063 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 178.063 * [backup-simplify]: Simplify (+ 0 0) into 0 178.064 * [backup-simplify]: Simplify (+ 0 0) into 0 178.064 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 178.064 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 178.065 * [backup-simplify]: Simplify (- 0) into 0 178.065 * [backup-simplify]: Simplify (+ 0 0) into 0 178.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 178.065 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 178.065 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 178.065 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 178.065 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 178.065 * [taylor]: Taking taylor expansion of phi2 in phi1 178.065 * [backup-simplify]: Simplify phi2 into phi2 178.065 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 178.065 * [taylor]: Taking taylor expansion of phi1 in phi1 178.065 * [backup-simplify]: Simplify 0 into 0 178.065 * [backup-simplify]: Simplify 1 into 1 178.066 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 178.066 * [taylor]: Taking taylor expansion of 2 in phi1 178.066 * [backup-simplify]: Simplify 2 into 2 178.066 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 178.066 * [taylor]: Taking taylor expansion of phi1 in phi1 178.066 * [backup-simplify]: Simplify 0 into 0 178.066 * [backup-simplify]: Simplify 1 into 1 178.066 * [taylor]: Taking taylor expansion of phi2 in phi1 178.066 * [backup-simplify]: Simplify phi2 into phi2 178.066 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.066 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 178.066 * [backup-simplify]: Simplify (* 0 phi2) into 0 178.066 * [backup-simplify]: Simplify (* 2 0) into 0 178.067 * [backup-simplify]: Simplify (- 0) into 0 178.067 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 178.067 * [backup-simplify]: Simplify (sqrt (pow phi2 2)) into phi2 178.067 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.067 * [backup-simplify]: Simplify (+ 0 0) into 0 178.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 178.068 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 178.068 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 178.068 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 178.068 * [backup-simplify]: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 178.068 * [taylor]: Taking taylor expansion of phi2 in phi2 178.068 * [backup-simplify]: Simplify 0 into 0 178.068 * [backup-simplify]: Simplify 1 into 1 178.069 * [backup-simplify]: Simplify 0 into 0 178.069 * [taylor]: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 178.069 * [taylor]: Taking taylor expansion of -1 in lambda2 178.069 * [backup-simplify]: Simplify -1 into -1 178.069 * [taylor]: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 178.069 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 178.069 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.069 * [backup-simplify]: Simplify 0 into 0 178.069 * [backup-simplify]: Simplify 1 into 1 178.069 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.069 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.069 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.069 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.069 * [backup-simplify]: Simplify 1/2 into 1/2 178.069 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.069 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.069 * [backup-simplify]: Simplify phi1 into phi1 178.069 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.069 * [backup-simplify]: Simplify phi2 into phi2 178.069 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.069 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.069 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.069 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.069 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.069 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.070 * [backup-simplify]: Simplify (- 0) into 0 178.070 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 178.070 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 178.070 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 178.070 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 178.070 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 178.070 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.070 * [backup-simplify]: Simplify phi2 into phi2 178.070 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 178.070 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 178.070 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 178.070 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.070 * [backup-simplify]: Simplify 0 into 0 178.070 * [backup-simplify]: Simplify 1 into 1 178.070 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.071 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.071 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.071 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.071 * [backup-simplify]: Simplify 1/2 into 1/2 178.071 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.071 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.071 * [backup-simplify]: Simplify phi1 into phi1 178.071 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.071 * [backup-simplify]: Simplify phi2 into phi2 178.071 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.071 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.071 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.071 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.071 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.071 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.072 * [backup-simplify]: Simplify (- 0) into 0 178.072 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.072 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 178.072 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.072 * [backup-simplify]: Simplify phi1 into phi1 178.072 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 178.072 * [taylor]: Taking taylor expansion of 2 in lambda2 178.072 * [backup-simplify]: Simplify 2 into 2 178.072 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 178.072 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.072 * [backup-simplify]: Simplify phi1 into phi1 178.072 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.072 * [backup-simplify]: Simplify phi2 into phi2 178.072 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.072 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.072 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 178.072 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 178.072 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.073 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 178.073 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 178.073 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 178.073 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 178.074 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 178.074 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.074 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 178.074 * [backup-simplify]: Simplify (+ 0 0) into 0 178.075 * [backup-simplify]: Simplify (+ 0 0) into 0 178.075 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 178.075 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 178.075 * [backup-simplify]: Simplify (- 0) into 0 178.076 * [backup-simplify]: Simplify (+ 0 0) into 0 178.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 178.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 178.077 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.077 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 178.077 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 178.078 * [backup-simplify]: Simplify (* -1 0) into 0 178.078 * [taylor]: Taking taylor expansion of 0 in phi1 178.078 * [backup-simplify]: Simplify 0 into 0 178.078 * [taylor]: Taking taylor expansion of 0 in phi2 178.078 * [backup-simplify]: Simplify 0 into 0 178.078 * [backup-simplify]: Simplify 0 into 0 178.078 * [taylor]: Taking taylor expansion of 0 in phi1 178.078 * [backup-simplify]: Simplify 0 into 0 178.078 * [taylor]: Taking taylor expansion of 0 in phi2 178.078 * [backup-simplify]: Simplify 0 into 0 178.078 * [backup-simplify]: Simplify 0 into 0 178.078 * [taylor]: Taking taylor expansion of -1 in phi2 178.078 * [backup-simplify]: Simplify -1 into -1 178.078 * [backup-simplify]: Simplify -1 into -1 178.078 * [backup-simplify]: Simplify 1 into 1 178.078 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.079 * [backup-simplify]: Simplify (* 1 1) into 1 178.079 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.079 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 178.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.081 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 178.081 * [backup-simplify]: Simplify (+ 0 0) into 0 178.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 178.083 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.083 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 178.084 * [backup-simplify]: Simplify (- 0) into 0 178.084 * [backup-simplify]: Simplify (+ 0 0) into 0 178.085 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 178.085 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 178.086 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 178.087 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 178.087 * [backup-simplify]: Simplify (+ 0 0) into 0 178.087 * [backup-simplify]: Simplify (+ 0 0) into 0 178.088 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.088 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 178.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 178.090 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 178.091 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.091 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 178.092 * [backup-simplify]: Simplify (+ 0 0) into 0 178.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 178.093 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.094 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 178.094 * [backup-simplify]: Simplify (- 0) into 0 178.095 * [backup-simplify]: Simplify (+ 0 0) into 0 178.095 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 178.096 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 178.097 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 178.097 * [backup-simplify]: Simplify (+ 0 0) into 0 178.098 * [backup-simplify]: Simplify (- 0) into 0 178.098 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.100 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 178.100 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 178.100 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.100 * [backup-simplify]: Simplify 1/2 into 1/2 178.101 * [taylor]: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 178.101 * [taylor]: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 178.101 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.101 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.101 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.101 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.101 * [backup-simplify]: Simplify 1/2 into 1/2 178.101 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.101 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.101 * [backup-simplify]: Simplify phi1 into phi1 178.101 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.101 * [backup-simplify]: Simplify phi2 into phi2 178.101 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.101 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.101 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.101 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.101 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.101 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.102 * [backup-simplify]: Simplify (- 0) into 0 178.102 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.102 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 178.102 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 178.102 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 178.102 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.102 * [backup-simplify]: Simplify 0 into 0 178.102 * [backup-simplify]: Simplify 1 into 1 178.102 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 178.102 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.102 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.102 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.102 * [backup-simplify]: Simplify 1/2 into 1/2 178.102 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.102 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.102 * [backup-simplify]: Simplify phi1 into phi1 178.102 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.102 * [backup-simplify]: Simplify phi2 into phi2 178.102 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.102 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.102 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.103 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.103 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.103 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.103 * [backup-simplify]: Simplify (- 0) into 0 178.103 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.103 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 178.103 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 178.103 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 178.103 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.103 * [backup-simplify]: Simplify phi2 into phi2 178.103 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 178.103 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 178.104 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 178.104 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.104 * [backup-simplify]: Simplify 0 into 0 178.104 * [backup-simplify]: Simplify 1 into 1 178.104 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.104 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.104 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.104 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.104 * [backup-simplify]: Simplify 1/2 into 1/2 178.104 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.104 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.104 * [backup-simplify]: Simplify phi1 into phi1 178.104 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.104 * [backup-simplify]: Simplify phi2 into phi2 178.104 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.104 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.104 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.104 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.104 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.104 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.105 * [backup-simplify]: Simplify (- 0) into 0 178.105 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.105 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 178.105 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.105 * [backup-simplify]: Simplify phi1 into phi1 178.105 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 178.105 * [taylor]: Taking taylor expansion of 2 in lambda2 178.105 * [backup-simplify]: Simplify 2 into 2 178.105 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 178.105 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.105 * [backup-simplify]: Simplify phi1 into phi1 178.105 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.105 * [backup-simplify]: Simplify phi2 into phi2 178.105 * [backup-simplify]: Simplify (* 1 1) into 1 178.106 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.106 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 178.106 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 178.106 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.106 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.106 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 178.106 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 178.106 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.106 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 178.106 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 178.107 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 178.107 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 178.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 178.107 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 178.107 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 178.107 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 178.107 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 178.107 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.107 * [backup-simplify]: Simplify phi2 into phi2 178.107 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 178.107 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 178.107 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 178.107 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.107 * [backup-simplify]: Simplify 0 into 0 178.107 * [backup-simplify]: Simplify 1 into 1 178.107 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.107 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.107 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.108 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.108 * [backup-simplify]: Simplify 1/2 into 1/2 178.108 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.108 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.108 * [backup-simplify]: Simplify phi1 into phi1 178.108 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.108 * [backup-simplify]: Simplify phi2 into phi2 178.108 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.108 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.108 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.108 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.108 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.108 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.109 * [backup-simplify]: Simplify (- 0) into 0 178.109 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.109 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 178.109 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.109 * [backup-simplify]: Simplify phi1 into phi1 178.109 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 178.109 * [taylor]: Taking taylor expansion of 2 in lambda2 178.109 * [backup-simplify]: Simplify 2 into 2 178.109 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 178.109 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.109 * [backup-simplify]: Simplify phi1 into phi1 178.109 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.109 * [backup-simplify]: Simplify phi2 into phi2 178.109 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.109 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.109 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 178.109 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 178.109 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.109 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 178.110 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 178.110 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 178.110 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 178.110 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 178.110 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.110 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 178.111 * [backup-simplify]: Simplify (+ 0 0) into 0 178.111 * [backup-simplify]: Simplify (+ 0 0) into 0 178.111 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 178.112 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 178.115 * [backup-simplify]: Simplify (- 0) into 0 178.116 * [backup-simplify]: Simplify (+ 0 0) into 0 178.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 178.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 178.117 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.117 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.117 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 178.118 * [backup-simplify]: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 178.118 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 178.118 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.118 * [backup-simplify]: Simplify 1/2 into 1/2 178.118 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 178.118 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 178.118 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 178.118 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 178.118 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.118 * [backup-simplify]: Simplify 1/2 into 1/2 178.118 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 178.118 * [taylor]: Taking taylor expansion of phi1 in phi1 178.118 * [backup-simplify]: Simplify 0 into 0 178.118 * [backup-simplify]: Simplify 1 into 1 178.118 * [taylor]: Taking taylor expansion of phi2 in phi1 178.118 * [backup-simplify]: Simplify phi2 into phi2 178.118 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 178.118 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 178.118 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 178.118 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 178.118 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 178.118 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 178.119 * [backup-simplify]: Simplify (- 0) into 0 178.119 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 178.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 178.119 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 178.119 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 178.119 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 178.119 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 178.119 * [taylor]: Taking taylor expansion of phi2 in phi1 178.119 * [backup-simplify]: Simplify phi2 into phi2 178.119 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 178.119 * [taylor]: Taking taylor expansion of phi1 in phi1 178.119 * [backup-simplify]: Simplify 0 into 0 178.119 * [backup-simplify]: Simplify 1 into 1 178.119 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 178.119 * [taylor]: Taking taylor expansion of 2 in phi1 178.119 * [backup-simplify]: Simplify 2 into 2 178.119 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 178.119 * [taylor]: Taking taylor expansion of phi1 in phi1 178.120 * [backup-simplify]: Simplify 0 into 0 178.120 * [backup-simplify]: Simplify 1 into 1 178.120 * [taylor]: Taking taylor expansion of phi2 in phi1 178.120 * [backup-simplify]: Simplify phi2 into phi2 178.120 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.120 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 178.120 * [backup-simplify]: Simplify (* 0 phi2) into 0 178.120 * [backup-simplify]: Simplify (* 2 0) into 0 178.121 * [backup-simplify]: Simplify (- 0) into 0 178.121 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 178.121 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.121 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 178.121 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.122 * [backup-simplify]: Simplify (+ 0 0) into 0 178.122 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 178.123 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 178.123 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 178.123 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 178.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 178.123 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 178.123 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 178.123 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 178.124 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 178.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 178.124 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.124 * [backup-simplify]: Simplify 1/2 into 1/2 178.124 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 178.124 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 178.124 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.124 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.124 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.124 * [backup-simplify]: Simplify 1/2 into 1/2 178.124 * [taylor]: Taking taylor expansion of phi2 in phi2 178.124 * [backup-simplify]: Simplify 0 into 0 178.124 * [backup-simplify]: Simplify 1 into 1 178.124 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.125 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.125 * [taylor]: Taking taylor expansion of phi2 in phi2 178.125 * [backup-simplify]: Simplify 0 into 0 178.125 * [backup-simplify]: Simplify 1 into 1 178.125 * [backup-simplify]: Simplify (* 1 1) into 1 178.126 * [backup-simplify]: Simplify (/ 1 1) into 1 178.126 * [backup-simplify]: Simplify (+ 0) into 0 178.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 178.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 178.128 * [backup-simplify]: Simplify 0 into 0 178.129 * [backup-simplify]: Simplify (+ 0) into 0 178.130 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 178.130 * [backup-simplify]: Simplify (+ 0 0) into 0 178.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 178.131 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.132 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 178.132 * [backup-simplify]: Simplify (- 0) into 0 178.132 * [backup-simplify]: Simplify (+ 0 0) into 0 178.133 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 178.133 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.134 * [backup-simplify]: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 178.135 * [backup-simplify]: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 178.135 * [taylor]: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 178.135 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 178.135 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 178.135 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 178.135 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 178.135 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.135 * [backup-simplify]: Simplify 1/2 into 1/2 178.135 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 178.135 * [taylor]: Taking taylor expansion of phi1 in phi1 178.135 * [backup-simplify]: Simplify 0 into 0 178.135 * [backup-simplify]: Simplify 1 into 1 178.135 * [taylor]: Taking taylor expansion of phi2 in phi1 178.135 * [backup-simplify]: Simplify phi2 into phi2 178.135 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 178.135 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 178.135 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 178.135 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 178.136 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 178.136 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 178.136 * [backup-simplify]: Simplify (- 0) into 0 178.136 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 178.136 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 178.136 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 178.136 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 178.136 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 178.136 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 178.137 * [taylor]: Taking taylor expansion of phi2 in phi1 178.137 * [backup-simplify]: Simplify phi2 into phi2 178.137 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 178.137 * [taylor]: Taking taylor expansion of phi1 in phi1 178.137 * [backup-simplify]: Simplify 0 into 0 178.137 * [backup-simplify]: Simplify 1 into 1 178.137 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 178.137 * [taylor]: Taking taylor expansion of 2 in phi1 178.137 * [backup-simplify]: Simplify 2 into 2 178.137 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 178.137 * [taylor]: Taking taylor expansion of phi1 in phi1 178.137 * [backup-simplify]: Simplify 0 into 0 178.137 * [backup-simplify]: Simplify 1 into 1 178.137 * [taylor]: Taking taylor expansion of phi2 in phi1 178.137 * [backup-simplify]: Simplify phi2 into phi2 178.137 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.137 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 178.137 * [backup-simplify]: Simplify (* 0 phi2) into 0 178.138 * [backup-simplify]: Simplify (* 2 0) into 0 178.138 * [backup-simplify]: Simplify (- 0) into 0 178.138 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 178.138 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.138 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 178.138 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.139 * [backup-simplify]: Simplify (+ 0 0) into 0 178.139 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 178.140 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 178.140 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 178.140 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 178.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 178.140 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 178.140 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 178.141 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 178.141 * [backup-simplify]: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 178.141 * [taylor]: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 178.141 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 178.141 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 178.141 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.141 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.141 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.141 * [backup-simplify]: Simplify 1/2 into 1/2 178.141 * [taylor]: Taking taylor expansion of phi2 in phi2 178.141 * [backup-simplify]: Simplify 0 into 0 178.141 * [backup-simplify]: Simplify 1 into 1 178.141 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.142 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.142 * [taylor]: Taking taylor expansion of phi2 in phi2 178.142 * [backup-simplify]: Simplify 0 into 0 178.142 * [backup-simplify]: Simplify 1 into 1 178.143 * [backup-simplify]: Simplify (* 1 1) into 1 178.143 * [backup-simplify]: Simplify (/ 1 1) into 1 178.143 * [backup-simplify]: Simplify (+ 0) into 0 178.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 178.145 * [backup-simplify]: Simplify (- 0) into 0 178.145 * [backup-simplify]: Simplify 0 into 0 178.146 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 178.146 * [backup-simplify]: Simplify (* 1 1) into 1 178.146 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.146 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.147 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 178.147 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.147 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.148 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 178.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 178.149 * [backup-simplify]: Simplify (- 0) into 0 178.149 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.150 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 178.150 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 178.150 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.150 * [backup-simplify]: Simplify 1/2 into 1/2 178.150 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 178.150 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 178.150 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 178.150 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 178.150 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.150 * [backup-simplify]: Simplify 1/2 into 1/2 178.150 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 178.150 * [taylor]: Taking taylor expansion of phi1 in phi1 178.150 * [backup-simplify]: Simplify 0 into 0 178.150 * [backup-simplify]: Simplify 1 into 1 178.150 * [taylor]: Taking taylor expansion of phi2 in phi1 178.150 * [backup-simplify]: Simplify phi2 into phi2 178.151 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 178.151 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 178.151 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 178.151 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 178.151 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 178.151 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 178.151 * [backup-simplify]: Simplify (- 0) into 0 178.151 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 178.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 178.151 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 178.151 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 178.151 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 178.151 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 178.151 * [taylor]: Taking taylor expansion of phi2 in phi1 178.151 * [backup-simplify]: Simplify phi2 into phi2 178.151 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 178.152 * [taylor]: Taking taylor expansion of phi1 in phi1 178.152 * [backup-simplify]: Simplify 0 into 0 178.152 * [backup-simplify]: Simplify 1 into 1 178.152 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 178.152 * [taylor]: Taking taylor expansion of 2 in phi1 178.152 * [backup-simplify]: Simplify 2 into 2 178.152 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 178.152 * [taylor]: Taking taylor expansion of phi1 in phi1 178.152 * [backup-simplify]: Simplify 0 into 0 178.152 * [backup-simplify]: Simplify 1 into 1 178.152 * [taylor]: Taking taylor expansion of phi2 in phi1 178.152 * [backup-simplify]: Simplify phi2 into phi2 178.152 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.152 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 178.152 * [backup-simplify]: Simplify (* 0 phi2) into 0 178.152 * [backup-simplify]: Simplify (* 2 0) into 0 178.153 * [backup-simplify]: Simplify (- 0) into 0 178.153 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 178.153 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.153 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 178.153 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.153 * [backup-simplify]: Simplify (+ 0 0) into 0 178.154 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 178.154 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 178.154 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 178.154 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 178.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 178.155 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 178.155 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 178.155 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 178.155 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 178.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 178.155 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.155 * [backup-simplify]: Simplify 1/2 into 1/2 178.155 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 178.155 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 178.155 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.155 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.155 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.155 * [backup-simplify]: Simplify 1/2 into 1/2 178.156 * [taylor]: Taking taylor expansion of phi2 in phi2 178.156 * [backup-simplify]: Simplify 0 into 0 178.156 * [backup-simplify]: Simplify 1 into 1 178.156 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.157 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.157 * [taylor]: Taking taylor expansion of phi2 in phi2 178.157 * [backup-simplify]: Simplify 0 into 0 178.157 * [backup-simplify]: Simplify 1 into 1 178.157 * [backup-simplify]: Simplify (* 1 1) into 1 178.157 * [backup-simplify]: Simplify (/ 1 1) into 1 178.158 * [backup-simplify]: Simplify (+ 0) into 0 178.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 178.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 178.160 * [backup-simplify]: Simplify 0 into 0 178.160 * [taylor]: Taking taylor expansion of 0 in phi2 178.160 * [backup-simplify]: Simplify 0 into 0 178.160 * [backup-simplify]: Simplify 0 into 0 178.160 * [taylor]: Taking taylor expansion of 0 in phi2 178.160 * [backup-simplify]: Simplify 0 into 0 178.160 * [backup-simplify]: Simplify 0 into 0 178.161 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 178.161 * [backup-simplify]: Simplify (* 1 1) into 1 178.162 * [backup-simplify]: Simplify (+ 0 1) into 1 178.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 178.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 178.164 * [backup-simplify]: Simplify (- 0) into 0 178.164 * [backup-simplify]: Simplify (+ 1 0) into 1 178.165 * [backup-simplify]: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 178.165 * [taylor]: Taking taylor expansion of 0 in phi2 178.165 * [backup-simplify]: Simplify 0 into 0 178.165 * [backup-simplify]: Simplify 0 into 0 178.166 * [backup-simplify]: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) 178.168 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) 178.168 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 178.169 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 178.169 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 178.169 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 178.169 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 178.169 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.169 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.169 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.169 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.169 * [backup-simplify]: Simplify 1/2 into 1/2 178.169 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.169 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.169 * [taylor]: Taking taylor expansion of phi1 in phi2 178.169 * [backup-simplify]: Simplify phi1 into phi1 178.169 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.169 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.169 * [taylor]: Taking taylor expansion of phi2 in phi2 178.169 * [backup-simplify]: Simplify 0 into 0 178.169 * [backup-simplify]: Simplify 1 into 1 178.170 * [backup-simplify]: Simplify (/ 1 1) into 1 178.170 * [backup-simplify]: Simplify (+ 0 1) into 1 178.170 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.171 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.171 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 178.171 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.171 * [backup-simplify]: Simplify lambda2 into lambda2 178.171 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.171 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 178.171 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 178.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 178.171 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 178.171 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 178.171 * [taylor]: Taking taylor expansion of phi1 in phi2 178.171 * [backup-simplify]: Simplify phi1 into phi1 178.171 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.172 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.172 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 178.172 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 178.172 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.172 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.172 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.172 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.172 * [backup-simplify]: Simplify 1/2 into 1/2 178.172 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.172 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.172 * [taylor]: Taking taylor expansion of phi1 in phi2 178.172 * [backup-simplify]: Simplify phi1 into phi1 178.172 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.172 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.172 * [taylor]: Taking taylor expansion of phi2 in phi2 178.172 * [backup-simplify]: Simplify 0 into 0 178.172 * [backup-simplify]: Simplify 1 into 1 178.172 * [backup-simplify]: Simplify (/ 1 1) into 1 178.173 * [backup-simplify]: Simplify (+ 0 1) into 1 178.173 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.173 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.174 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 178.174 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.174 * [backup-simplify]: Simplify lambda1 into lambda1 178.174 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.174 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 178.174 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 178.174 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 178.174 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 178.174 * [taylor]: Taking taylor expansion of phi2 in phi2 178.174 * [backup-simplify]: Simplify 0 into 0 178.174 * [backup-simplify]: Simplify 1 into 1 178.175 * [backup-simplify]: Simplify (* 1 1) into 1 178.175 * [backup-simplify]: Simplify (/ 1 1) into 1 178.175 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 178.175 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 178.175 * [taylor]: Taking taylor expansion of 2 in phi2 178.175 * [backup-simplify]: Simplify 2 into 2 178.175 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 178.175 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 178.175 * [taylor]: Taking taylor expansion of phi1 in phi2 178.175 * [backup-simplify]: Simplify phi1 into phi1 178.175 * [taylor]: Taking taylor expansion of phi2 in phi2 178.175 * [backup-simplify]: Simplify 0 into 0 178.175 * [backup-simplify]: Simplify 1 into 1 178.175 * [backup-simplify]: Simplify (* phi1 0) into 0 178.176 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 178.176 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.176 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 178.176 * [taylor]: Taking taylor expansion of 2 in phi2 178.176 * [backup-simplify]: Simplify 2 into 2 178.176 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 178.176 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.176 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.176 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.176 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.176 * [backup-simplify]: Simplify 1/2 into 1/2 178.176 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.176 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.176 * [taylor]: Taking taylor expansion of phi1 in phi2 178.176 * [backup-simplify]: Simplify phi1 into phi1 178.176 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.176 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.176 * [taylor]: Taking taylor expansion of phi2 in phi2 178.176 * [backup-simplify]: Simplify 0 into 0 178.177 * [backup-simplify]: Simplify 1 into 1 178.177 * [backup-simplify]: Simplify (/ 1 1) into 1 178.177 * [backup-simplify]: Simplify (+ 0 1) into 1 178.178 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.178 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.178 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2 178.178 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.178 * [backup-simplify]: Simplify lambda2 into lambda2 178.178 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.178 * [backup-simplify]: Simplify lambda1 into lambda1 178.178 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.178 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 178.179 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 178.179 * [backup-simplify]: Simplify (+ 0 1) into 1 178.180 * [backup-simplify]: Simplify (+ 0 1) into 1 178.180 * [backup-simplify]: Simplify (+ 0 1) into 1 178.180 * [backup-simplify]: Simplify (+ 1 0) into 1 178.181 * [backup-simplify]: Simplify (sqrt 1) into 1 178.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 178.183 * [backup-simplify]: Simplify (+ 0 0) into 0 178.183 * [backup-simplify]: Simplify (+ 0 0) into 0 178.183 * [backup-simplify]: Simplify (+ 0 0) into 0 178.183 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 178.183 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 178.183 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 178.184 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 178.184 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 178.184 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 178.184 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 178.184 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 178.184 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 178.184 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.184 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.184 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.184 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.185 * [backup-simplify]: Simplify 1/2 into 1/2 178.185 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.185 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.185 * [taylor]: Taking taylor expansion of phi1 in phi1 178.185 * [backup-simplify]: Simplify 0 into 0 178.185 * [backup-simplify]: Simplify 1 into 1 178.185 * [backup-simplify]: Simplify (/ 1 1) into 1 178.185 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.185 * [taylor]: Taking taylor expansion of phi2 in phi1 178.185 * [backup-simplify]: Simplify phi2 into phi2 178.185 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.186 * [backup-simplify]: Simplify (+ 1 0) into 1 178.186 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.186 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.186 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 178.186 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.186 * [backup-simplify]: Simplify lambda2 into lambda2 178.187 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.187 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 178.187 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 178.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 178.187 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 178.187 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 178.187 * [taylor]: Taking taylor expansion of phi1 in phi1 178.187 * [backup-simplify]: Simplify 0 into 0 178.187 * [backup-simplify]: Simplify 1 into 1 178.188 * [backup-simplify]: Simplify (* 1 1) into 1 178.188 * [backup-simplify]: Simplify (/ 1 1) into 1 178.188 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 178.188 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 178.188 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.188 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.188 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.188 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.188 * [backup-simplify]: Simplify 1/2 into 1/2 178.188 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.188 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.188 * [taylor]: Taking taylor expansion of phi1 in phi1 178.188 * [backup-simplify]: Simplify 0 into 0 178.188 * [backup-simplify]: Simplify 1 into 1 178.188 * [backup-simplify]: Simplify (/ 1 1) into 1 178.188 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.188 * [taylor]: Taking taylor expansion of phi2 in phi1 178.188 * [backup-simplify]: Simplify phi2 into phi2 178.189 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.189 * [backup-simplify]: Simplify (+ 1 0) into 1 178.189 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.189 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.189 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 178.189 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.189 * [backup-simplify]: Simplify lambda1 into lambda1 178.189 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.189 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 178.190 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 178.190 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 178.190 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 178.190 * [taylor]: Taking taylor expansion of phi2 in phi1 178.190 * [backup-simplify]: Simplify phi2 into phi2 178.190 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.190 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.190 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 178.190 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 178.190 * [taylor]: Taking taylor expansion of 2 in phi1 178.190 * [backup-simplify]: Simplify 2 into 2 178.190 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 178.190 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 178.190 * [taylor]: Taking taylor expansion of phi1 in phi1 178.190 * [backup-simplify]: Simplify 0 into 0 178.190 * [backup-simplify]: Simplify 1 into 1 178.190 * [taylor]: Taking taylor expansion of phi2 in phi1 178.190 * [backup-simplify]: Simplify phi2 into phi2 178.190 * [backup-simplify]: Simplify (* 0 phi2) into 0 178.190 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 178.190 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.190 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 178.190 * [taylor]: Taking taylor expansion of 2 in phi1 178.190 * [backup-simplify]: Simplify 2 into 2 178.190 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 178.190 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.190 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.190 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.190 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.190 * [backup-simplify]: Simplify 1/2 into 1/2 178.190 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.190 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.190 * [taylor]: Taking taylor expansion of phi1 in phi1 178.190 * [backup-simplify]: Simplify 0 into 0 178.191 * [backup-simplify]: Simplify 1 into 1 178.191 * [backup-simplify]: Simplify (/ 1 1) into 1 178.191 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.191 * [taylor]: Taking taylor expansion of phi2 in phi1 178.191 * [backup-simplify]: Simplify phi2 into phi2 178.191 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.191 * [backup-simplify]: Simplify (+ 1 0) into 1 178.192 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.192 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.192 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1 178.192 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.192 * [backup-simplify]: Simplify lambda2 into lambda2 178.192 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.192 * [backup-simplify]: Simplify lambda1 into lambda1 178.192 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.192 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 178.192 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 178.193 * [backup-simplify]: Simplify (+ 1 0) into 1 178.193 * [backup-simplify]: Simplify (+ 0 1) into 1 178.193 * [backup-simplify]: Simplify (+ 1 0) into 1 178.193 * [backup-simplify]: Simplify (sqrt 1) into 1 178.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 178.194 * [backup-simplify]: Simplify (+ 0 0) into 0 178.195 * [backup-simplify]: Simplify (+ 0 0) into 0 178.195 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 178.195 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 178.195 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 178.195 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 178.195 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 178.195 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 178.195 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 178.195 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 178.195 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 178.195 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.195 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.195 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.195 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.195 * [backup-simplify]: Simplify 1/2 into 1/2 178.195 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.195 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.195 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.195 * [backup-simplify]: Simplify phi1 into phi1 178.196 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.196 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.196 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.196 * [backup-simplify]: Simplify phi2 into phi2 178.196 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.196 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.196 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.196 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.196 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.196 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.196 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.196 * [backup-simplify]: Simplify (- 0) into 0 178.196 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.196 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 178.196 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.196 * [backup-simplify]: Simplify 0 into 0 178.196 * [backup-simplify]: Simplify 1 into 1 178.197 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.197 * [backup-simplify]: Simplify (* 1 1) into 1 178.197 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 178.197 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 178.197 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 178.197 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.197 * [backup-simplify]: Simplify phi1 into phi1 178.197 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.197 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.197 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 178.197 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 178.197 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.197 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.197 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.197 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.198 * [backup-simplify]: Simplify 1/2 into 1/2 178.198 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.198 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.198 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.198 * [backup-simplify]: Simplify phi1 into phi1 178.198 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.198 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.198 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.198 * [backup-simplify]: Simplify phi2 into phi2 178.198 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.198 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.198 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.198 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.198 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.198 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.198 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.198 * [backup-simplify]: Simplify (- 0) into 0 178.198 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.198 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 178.199 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.199 * [backup-simplify]: Simplify lambda1 into lambda1 178.199 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.199 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 178.199 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 178.199 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 178.199 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 178.199 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.199 * [backup-simplify]: Simplify phi2 into phi2 178.199 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.199 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.199 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 178.199 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 178.199 * [taylor]: Taking taylor expansion of 2 in lambda2 178.199 * [backup-simplify]: Simplify 2 into 2 178.199 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 178.199 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 178.199 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.199 * [backup-simplify]: Simplify phi1 into phi1 178.199 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.199 * [backup-simplify]: Simplify phi2 into phi2 178.199 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.199 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 178.199 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 178.199 * [taylor]: Taking taylor expansion of 2 in lambda2 178.199 * [backup-simplify]: Simplify 2 into 2 178.199 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 178.199 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.199 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.199 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.199 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.199 * [backup-simplify]: Simplify 1/2 into 1/2 178.199 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.199 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.199 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.199 * [backup-simplify]: Simplify phi1 into phi1 178.199 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.199 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.199 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.199 * [backup-simplify]: Simplify phi2 into phi2 178.200 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.200 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.200 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.200 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.200 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.200 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.200 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.200 * [backup-simplify]: Simplify (- 0) into 0 178.200 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.200 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2 178.200 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.200 * [backup-simplify]: Simplify 0 into 0 178.200 * [backup-simplify]: Simplify 1 into 1 178.200 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.200 * [backup-simplify]: Simplify lambda1 into lambda1 178.201 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.201 * [backup-simplify]: Simplify (* 0 lambda1) into 0 178.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 178.201 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 178.201 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.201 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.201 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.202 * [backup-simplify]: Simplify (+ 0) into 0 178.202 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.202 * [backup-simplify]: Simplify (+ 0 0) into 0 178.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.204 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.204 * [backup-simplify]: Simplify (- 0) into 0 178.204 * [backup-simplify]: Simplify (+ 0 0) into 0 178.204 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 178.206 * [backup-simplify]: Simplify (+ 0 0) into 0 178.206 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 178.206 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 178.206 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 178.207 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 178.207 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 178.207 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 178.207 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 178.207 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 178.207 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 178.207 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.207 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.207 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.207 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.207 * [backup-simplify]: Simplify 1/2 into 1/2 178.207 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.207 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.207 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.207 * [backup-simplify]: Simplify phi1 into phi1 178.207 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.207 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.207 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.207 * [backup-simplify]: Simplify phi2 into phi2 178.207 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.207 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.207 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.207 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.208 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.208 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.208 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.208 * [backup-simplify]: Simplify (- 0) into 0 178.208 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.208 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 178.208 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.208 * [backup-simplify]: Simplify lambda2 into lambda2 178.208 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.208 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 178.208 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 178.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 178.209 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 178.209 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 178.209 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.209 * [backup-simplify]: Simplify phi1 into phi1 178.209 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.209 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.209 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 178.209 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 178.209 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.209 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.209 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.209 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.209 * [backup-simplify]: Simplify 1/2 into 1/2 178.209 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.209 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.209 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.209 * [backup-simplify]: Simplify phi1 into phi1 178.209 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.209 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.209 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.209 * [backup-simplify]: Simplify phi2 into phi2 178.209 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.209 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.209 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.209 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.209 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.209 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.209 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.210 * [backup-simplify]: Simplify (- 0) into 0 178.210 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.210 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 178.210 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.210 * [backup-simplify]: Simplify 0 into 0 178.210 * [backup-simplify]: Simplify 1 into 1 178.210 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.210 * [backup-simplify]: Simplify (* 1 1) into 1 178.210 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.210 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 178.210 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 178.210 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.210 * [backup-simplify]: Simplify phi2 into phi2 178.210 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.210 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.211 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 178.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 178.211 * [taylor]: Taking taylor expansion of 2 in lambda1 178.211 * [backup-simplify]: Simplify 2 into 2 178.211 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 178.211 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 178.211 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.211 * [backup-simplify]: Simplify phi1 into phi1 178.211 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.211 * [backup-simplify]: Simplify phi2 into phi2 178.211 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.211 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 178.211 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 178.211 * [taylor]: Taking taylor expansion of 2 in lambda1 178.211 * [backup-simplify]: Simplify 2 into 2 178.211 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 178.211 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.211 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.211 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.211 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.211 * [backup-simplify]: Simplify 1/2 into 1/2 178.211 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.211 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.211 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.211 * [backup-simplify]: Simplify phi1 into phi1 178.211 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.211 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.211 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.211 * [backup-simplify]: Simplify phi2 into phi2 178.211 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.211 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.211 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.211 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.211 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.211 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.211 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.212 * [backup-simplify]: Simplify (- 0) into 0 178.212 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.212 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 178.212 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.212 * [backup-simplify]: Simplify lambda2 into lambda2 178.212 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.212 * [backup-simplify]: Simplify 0 into 0 178.212 * [backup-simplify]: Simplify 1 into 1 178.212 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.212 * [backup-simplify]: Simplify (* lambda2 0) into 0 178.212 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 178.213 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 178.213 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.213 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.213 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.213 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.213 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.213 * [backup-simplify]: Simplify (+ 0) into 0 178.214 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.214 * [backup-simplify]: Simplify (+ 0 0) into 0 178.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.215 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.216 * [backup-simplify]: Simplify (- 0) into 0 178.216 * [backup-simplify]: Simplify (+ 0 0) into 0 178.216 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 178.217 * [backup-simplify]: Simplify (+ 0 0) into 0 178.217 * [backup-simplify]: Simplify (+ 0 0) into 0 178.218 * [backup-simplify]: Simplify (+ 0 0) into 0 178.218 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 178.218 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 178.218 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 178.218 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 178.219 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 178.219 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 178.219 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 178.219 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 178.219 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 178.219 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.219 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.219 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.219 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.219 * [backup-simplify]: Simplify 1/2 into 1/2 178.219 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.219 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.219 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.219 * [backup-simplify]: Simplify phi1 into phi1 178.219 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.219 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.219 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.219 * [backup-simplify]: Simplify phi2 into phi2 178.219 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.219 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.219 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.219 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.219 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.219 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.219 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.220 * [backup-simplify]: Simplify (- 0) into 0 178.220 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.220 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 178.220 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.220 * [backup-simplify]: Simplify lambda2 into lambda2 178.220 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.220 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 178.220 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 178.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 178.220 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 178.220 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 178.220 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.220 * [backup-simplify]: Simplify phi1 into phi1 178.220 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.220 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.220 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 178.220 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 178.220 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.220 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.221 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.221 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.221 * [backup-simplify]: Simplify 1/2 into 1/2 178.221 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.221 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.221 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.221 * [backup-simplify]: Simplify phi1 into phi1 178.221 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.221 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.221 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.221 * [backup-simplify]: Simplify phi2 into phi2 178.221 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.221 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.221 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.221 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.221 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.221 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.221 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.221 * [backup-simplify]: Simplify (- 0) into 0 178.222 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.222 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 178.222 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.222 * [backup-simplify]: Simplify 0 into 0 178.222 * [backup-simplify]: Simplify 1 into 1 178.222 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.222 * [backup-simplify]: Simplify (* 1 1) into 1 178.222 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.222 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 178.222 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 178.222 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.222 * [backup-simplify]: Simplify phi2 into phi2 178.222 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.222 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.222 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 178.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 178.222 * [taylor]: Taking taylor expansion of 2 in lambda1 178.222 * [backup-simplify]: Simplify 2 into 2 178.222 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 178.222 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 178.222 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.222 * [backup-simplify]: Simplify phi1 into phi1 178.222 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.222 * [backup-simplify]: Simplify phi2 into phi2 178.223 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.223 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 178.223 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 178.223 * [taylor]: Taking taylor expansion of 2 in lambda1 178.223 * [backup-simplify]: Simplify 2 into 2 178.223 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 178.223 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.223 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.223 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.223 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.223 * [backup-simplify]: Simplify 1/2 into 1/2 178.223 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.223 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.223 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.223 * [backup-simplify]: Simplify phi1 into phi1 178.223 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.223 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.223 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.223 * [backup-simplify]: Simplify phi2 into phi2 178.223 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.223 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.223 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.223 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.223 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.223 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.223 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.224 * [backup-simplify]: Simplify (- 0) into 0 178.224 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.224 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1 178.224 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.224 * [backup-simplify]: Simplify lambda2 into lambda2 178.224 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.224 * [backup-simplify]: Simplify 0 into 0 178.224 * [backup-simplify]: Simplify 1 into 1 178.224 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.224 * [backup-simplify]: Simplify (* lambda2 0) into 0 178.224 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 178.224 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 178.225 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.225 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.225 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.225 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.225 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.225 * [backup-simplify]: Simplify (+ 0) into 0 178.226 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.226 * [backup-simplify]: Simplify (+ 0 0) into 0 178.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.227 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.227 * [backup-simplify]: Simplify (- 0) into 0 178.228 * [backup-simplify]: Simplify (+ 0 0) into 0 178.228 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 178.230 * [backup-simplify]: Simplify (+ 0 0) into 0 178.230 * [backup-simplify]: Simplify (+ 0 0) into 0 178.231 * [backup-simplify]: Simplify (+ 0 0) into 0 178.231 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 178.231 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 178.232 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 178.232 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 178.232 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 178.233 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.233 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.233 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.233 * [backup-simplify]: Simplify 1/2 into 1/2 178.233 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.233 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.233 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.233 * [backup-simplify]: Simplify phi1 into phi1 178.233 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.233 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.233 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.233 * [backup-simplify]: Simplify phi2 into phi2 178.233 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.233 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.233 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.233 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.233 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.234 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 178.234 * [taylor]: Taking taylor expansion of -1 in lambda2 178.234 * [backup-simplify]: Simplify -1 into -1 178.234 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 178.234 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.234 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.234 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.234 * [backup-simplify]: Simplify 1/2 into 1/2 178.234 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.234 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.234 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.234 * [backup-simplify]: Simplify phi1 into phi1 178.234 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.234 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.234 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.234 * [backup-simplify]: Simplify phi2 into phi2 178.234 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.234 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.234 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.234 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.235 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.235 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.235 * [backup-simplify]: Simplify 0 into 0 178.235 * [backup-simplify]: Simplify 1 into 1 178.235 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.235 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.236 * [backup-simplify]: Simplify (- 0) into 0 178.236 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.236 * [backup-simplify]: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.236 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.236 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 178.236 * [taylor]: Taking taylor expansion of -1 in phi1 178.236 * [backup-simplify]: Simplify -1 into -1 178.236 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.236 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.236 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.236 * [backup-simplify]: Simplify 1/2 into 1/2 178.236 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.236 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.236 * [taylor]: Taking taylor expansion of phi1 in phi1 178.236 * [backup-simplify]: Simplify 0 into 0 178.236 * [backup-simplify]: Simplify 1 into 1 178.237 * [backup-simplify]: Simplify (/ 1 1) into 1 178.237 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.237 * [taylor]: Taking taylor expansion of phi2 in phi1 178.237 * [backup-simplify]: Simplify phi2 into phi2 178.237 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.237 * [backup-simplify]: Simplify (+ 1 0) into 1 178.238 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.238 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.238 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.238 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.242 * [backup-simplify]: Simplify (- 0) into 0 178.242 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.242 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.242 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.242 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.242 * [backup-simplify]: Simplify 1/2 into 1/2 178.242 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.242 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.242 * [taylor]: Taking taylor expansion of phi1 in phi1 178.242 * [backup-simplify]: Simplify 0 into 0 178.242 * [backup-simplify]: Simplify 1 into 1 178.243 * [backup-simplify]: Simplify (/ 1 1) into 1 178.243 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.243 * [taylor]: Taking taylor expansion of phi2 in phi1 178.243 * [backup-simplify]: Simplify phi2 into phi2 178.243 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.244 * [backup-simplify]: Simplify (+ 1 0) into 1 178.244 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.244 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.245 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.246 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.247 * [backup-simplify]: Simplify (+ 0 0) into 0 178.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.249 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.250 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.250 * [backup-simplify]: Simplify (- 0) into 0 178.250 * [backup-simplify]: Simplify (+ 0 0) into 0 178.251 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 178.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.254 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 178.254 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 178.254 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 178.256 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 178.256 * [backup-simplify]: Simplify (+ 0) into 0 178.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.257 * [backup-simplify]: Simplify (+ 0 0) into 0 178.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.260 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.260 * [backup-simplify]: Simplify (- 0) into 0 178.260 * [backup-simplify]: Simplify (+ 0 0) into 0 178.261 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.261 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 178.262 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 178.262 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 178.262 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 178.263 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 178.263 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 178.265 * [backup-simplify]: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 178.265 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.265 * [backup-simplify]: Simplify 1/2 into 1/2 178.265 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 178.265 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 178.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 178.265 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 178.265 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 178.265 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.265 * [backup-simplify]: Simplify phi2 into phi2 178.265 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.265 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.265 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 178.265 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 178.266 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.266 * [backup-simplify]: Simplify phi1 into phi1 178.266 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.266 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 178.266 * [taylor]: Taking taylor expansion of 2 in lambda2 178.266 * [backup-simplify]: Simplify 2 into 2 178.266 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 178.266 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 178.266 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.266 * [backup-simplify]: Simplify phi1 into phi1 178.266 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.266 * [backup-simplify]: Simplify phi2 into phi2 178.266 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.266 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 178.266 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.266 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.266 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.266 * [backup-simplify]: Simplify 1/2 into 1/2 178.266 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.266 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.266 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.266 * [backup-simplify]: Simplify phi1 into phi1 178.266 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.266 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.266 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.266 * [backup-simplify]: Simplify phi2 into phi2 178.266 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.267 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.267 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.267 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.267 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.267 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 178.267 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 178.267 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 178.268 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 178.268 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.268 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.268 * [backup-simplify]: Simplify (- 0) into 0 178.269 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.269 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.270 * [backup-simplify]: Simplify (+ 0) into 0 178.270 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.271 * [backup-simplify]: Simplify (+ 0 0) into 0 178.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.272 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.273 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.273 * [backup-simplify]: Simplify (- 0) into 0 178.273 * [backup-simplify]: Simplify (+ 0 0) into 0 178.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 178.275 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.275 * [taylor]: Taking taylor expansion of 0 in phi1 178.275 * [backup-simplify]: Simplify 0 into 0 178.275 * [backup-simplify]: Simplify (+ 0) into 0 178.276 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.277 * [backup-simplify]: Simplify (+ 0 0) into 0 178.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.278 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.279 * [backup-simplify]: Simplify (- 0) into 0 178.279 * [backup-simplify]: Simplify (+ 0 0) into 0 178.279 * [taylor]: Taking taylor expansion of 0 in phi1 178.279 * [backup-simplify]: Simplify 0 into 0 178.279 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.279 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 178.280 * [taylor]: Taking taylor expansion of -1 in phi2 178.280 * [backup-simplify]: Simplify -1 into -1 178.280 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.280 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.280 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.280 * [backup-simplify]: Simplify 1/2 into 1/2 178.280 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.280 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.280 * [taylor]: Taking taylor expansion of phi1 in phi2 178.280 * [backup-simplify]: Simplify phi1 into phi1 178.280 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.280 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.280 * [taylor]: Taking taylor expansion of phi2 in phi2 178.280 * [backup-simplify]: Simplify 0 into 0 178.280 * [backup-simplify]: Simplify 1 into 1 178.280 * [backup-simplify]: Simplify (/ 1 1) into 1 178.281 * [backup-simplify]: Simplify (+ 0 1) into 1 178.281 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.281 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.281 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.281 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.281 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.281 * [backup-simplify]: Simplify 1/2 into 1/2 178.282 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.282 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.282 * [taylor]: Taking taylor expansion of phi1 in phi2 178.282 * [backup-simplify]: Simplify phi1 into phi1 178.282 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.282 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.282 * [taylor]: Taking taylor expansion of phi2 in phi2 178.282 * [backup-simplify]: Simplify 0 into 0 178.282 * [backup-simplify]: Simplify 1 into 1 178.282 * [backup-simplify]: Simplify (/ 1 1) into 1 178.283 * [backup-simplify]: Simplify (+ 0 1) into 1 178.283 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.283 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.284 * [backup-simplify]: Simplify (+ 0) into 0 178.284 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.285 * [backup-simplify]: Simplify (+ 0 0) into 0 178.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.286 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.287 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.287 * [backup-simplify]: Simplify (- 0) into 0 178.287 * [backup-simplify]: Simplify (+ 0 0) into 0 178.288 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.288 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 178.288 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 178.288 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 178.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 178.289 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 178.290 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 178.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.291 * [backup-simplify]: Simplify (+ 0 0) into 0 178.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 178.295 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 178.295 * [backup-simplify]: Simplify (- 0) into 0 178.295 * [backup-simplify]: Simplify (+ 0 0) into 0 178.296 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 178.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 178.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.300 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 178.300 * [backup-simplify]: Simplify (+ 0 0) into 0 178.301 * [backup-simplify]: Simplify (+ 0 0) into 0 178.301 * [backup-simplify]: Simplify (+ 0 0) into 0 178.301 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 178.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 178.302 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 178.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.304 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.304 * [backup-simplify]: Simplify (+ 0 0) into 0 178.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.306 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.307 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.307 * [backup-simplify]: Simplify (- 0) into 0 178.308 * [backup-simplify]: Simplify (+ 0 0) into 0 178.309 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.309 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 178.310 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 178.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 178.311 * [backup-simplify]: Simplify (+ 0 0) into 0 178.311 * [backup-simplify]: Simplify (- 0) into 0 178.312 * [backup-simplify]: Simplify (+ 0 0) into 0 178.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 178.313 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.313 * [backup-simplify]: Simplify 1/2 into 1/2 178.313 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 178.313 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 178.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 178.313 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 178.313 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 178.313 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.313 * [backup-simplify]: Simplify 0 into 0 178.313 * [backup-simplify]: Simplify 1 into 1 178.313 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 178.313 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.313 * [backup-simplify]: Simplify phi2 into phi2 178.314 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.314 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 178.314 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 178.314 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.314 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 178.314 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 178.315 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.315 * [backup-simplify]: Simplify 0 into 0 178.315 * [backup-simplify]: Simplify 1 into 1 178.315 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 178.315 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.315 * [backup-simplify]: Simplify phi1 into phi1 178.315 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.315 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 178.315 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 178.316 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 178.316 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 178.316 * [taylor]: Taking taylor expansion of 2 in lambda2 178.316 * [backup-simplify]: Simplify 2 into 2 178.316 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 178.316 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 178.316 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.316 * [backup-simplify]: Simplify 0 into 0 178.316 * [backup-simplify]: Simplify 1 into 1 178.316 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 178.316 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.316 * [backup-simplify]: Simplify phi1 into phi1 178.316 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.316 * [backup-simplify]: Simplify phi2 into phi2 178.316 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.316 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 178.316 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 178.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 178.317 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 178.317 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.317 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.317 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.317 * [backup-simplify]: Simplify 1/2 into 1/2 178.317 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.317 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.317 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.317 * [backup-simplify]: Simplify phi1 into phi1 178.317 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.317 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.317 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.317 * [backup-simplify]: Simplify phi2 into phi2 178.317 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.317 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.318 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.318 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.318 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.318 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 178.318 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 178.318 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 178.318 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 178.319 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.319 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.319 * [backup-simplify]: Simplify (- 0) into 0 178.319 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.320 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.320 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 178.321 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.321 * [backup-simplify]: Simplify 1/2 into 1/2 178.321 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 178.321 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 178.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 178.321 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 178.321 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 178.321 * [taylor]: Taking taylor expansion of phi2 in phi1 178.321 * [backup-simplify]: Simplify phi2 into phi2 178.321 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.321 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.321 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 178.321 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 178.321 * [taylor]: Taking taylor expansion of phi1 in phi1 178.321 * [backup-simplify]: Simplify 0 into 0 178.321 * [backup-simplify]: Simplify 1 into 1 178.321 * [backup-simplify]: Simplify (* 1 1) into 1 178.322 * [backup-simplify]: Simplify (/ 1 1) into 1 178.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 178.322 * [taylor]: Taking taylor expansion of 2 in phi1 178.322 * [backup-simplify]: Simplify 2 into 2 178.322 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 178.322 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 178.322 * [taylor]: Taking taylor expansion of phi1 in phi1 178.322 * [backup-simplify]: Simplify 0 into 0 178.322 * [backup-simplify]: Simplify 1 into 1 178.322 * [taylor]: Taking taylor expansion of phi2 in phi1 178.322 * [backup-simplify]: Simplify phi2 into phi2 178.322 * [backup-simplify]: Simplify (* 0 phi2) into 0 178.323 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 178.323 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.323 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.323 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.323 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.323 * [backup-simplify]: Simplify 1/2 into 1/2 178.323 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.323 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.323 * [taylor]: Taking taylor expansion of phi1 in phi1 178.323 * [backup-simplify]: Simplify 0 into 0 178.323 * [backup-simplify]: Simplify 1 into 1 178.323 * [backup-simplify]: Simplify (/ 1 1) into 1 178.323 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.323 * [taylor]: Taking taylor expansion of phi2 in phi1 178.323 * [backup-simplify]: Simplify phi2 into phi2 178.323 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.324 * [backup-simplify]: Simplify (+ 1 0) into 1 178.324 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.324 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.325 * [backup-simplify]: Simplify (+ 0 1) into 1 178.325 * [backup-simplify]: Simplify (+ 1 0) into 1 178.325 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 178.327 * [backup-simplify]: Simplify (+ 0 0) into 0 178.327 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 178.327 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 178.328 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 178.328 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 178.329 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 178.329 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 178.329 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 178.329 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 178.329 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.329 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.329 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.329 * [backup-simplify]: Simplify 1/2 into 1/2 178.329 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.329 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.329 * [taylor]: Taking taylor expansion of phi1 in phi2 178.329 * [backup-simplify]: Simplify phi1 into phi1 178.329 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.329 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.329 * [taylor]: Taking taylor expansion of phi2 in phi2 178.329 * [backup-simplify]: Simplify 0 into 0 178.329 * [backup-simplify]: Simplify 1 into 1 178.330 * [backup-simplify]: Simplify (/ 1 1) into 1 178.330 * [backup-simplify]: Simplify (+ 0 1) into 1 178.331 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.331 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.331 * [taylor]: Taking taylor expansion of phi2 in phi2 178.331 * [backup-simplify]: Simplify 0 into 0 178.331 * [backup-simplify]: Simplify 1 into 1 178.331 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.332 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.332 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.332 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.332 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.333 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 178.333 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.333 * [backup-simplify]: Simplify 1/2 into 1/2 178.333 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 178.333 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 178.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 178.333 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 178.333 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 178.333 * [taylor]: Taking taylor expansion of phi2 in phi1 178.333 * [backup-simplify]: Simplify phi2 into phi2 178.333 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.333 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.333 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 178.333 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 178.333 * [taylor]: Taking taylor expansion of phi1 in phi1 178.333 * [backup-simplify]: Simplify 0 into 0 178.333 * [backup-simplify]: Simplify 1 into 1 178.334 * [backup-simplify]: Simplify (* 1 1) into 1 178.334 * [backup-simplify]: Simplify (/ 1 1) into 1 178.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 178.334 * [taylor]: Taking taylor expansion of 2 in phi1 178.334 * [backup-simplify]: Simplify 2 into 2 178.334 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 178.334 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 178.334 * [taylor]: Taking taylor expansion of phi1 in phi1 178.334 * [backup-simplify]: Simplify 0 into 0 178.334 * [backup-simplify]: Simplify 1 into 1 178.334 * [taylor]: Taking taylor expansion of phi2 in phi1 178.334 * [backup-simplify]: Simplify phi2 into phi2 178.335 * [backup-simplify]: Simplify (* 0 phi2) into 0 178.335 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 178.335 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.335 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.335 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.335 * [backup-simplify]: Simplify 1/2 into 1/2 178.335 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.335 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.335 * [taylor]: Taking taylor expansion of phi1 in phi1 178.335 * [backup-simplify]: Simplify 0 into 0 178.335 * [backup-simplify]: Simplify 1 into 1 178.336 * [backup-simplify]: Simplify (/ 1 1) into 1 178.336 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.336 * [taylor]: Taking taylor expansion of phi2 in phi1 178.336 * [backup-simplify]: Simplify phi2 into phi2 178.336 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.336 * [backup-simplify]: Simplify (+ 1 0) into 1 178.337 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.337 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.337 * [backup-simplify]: Simplify (+ 0 1) into 1 178.338 * [backup-simplify]: Simplify (+ 1 0) into 1 178.338 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 178.340 * [backup-simplify]: Simplify (+ 0 0) into 0 178.340 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 178.340 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 178.340 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 178.340 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 178.341 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 178.341 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 178.341 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 178.341 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 178.341 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.341 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.341 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.341 * [backup-simplify]: Simplify 1/2 into 1/2 178.341 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.341 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.341 * [taylor]: Taking taylor expansion of phi1 in phi2 178.341 * [backup-simplify]: Simplify phi1 into phi1 178.341 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.341 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.341 * [taylor]: Taking taylor expansion of phi2 in phi2 178.341 * [backup-simplify]: Simplify 0 into 0 178.341 * [backup-simplify]: Simplify 1 into 1 178.342 * [backup-simplify]: Simplify (/ 1 1) into 1 178.342 * [backup-simplify]: Simplify (+ 0 1) into 1 178.343 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.343 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.343 * [taylor]: Taking taylor expansion of phi2 in phi2 178.343 * [backup-simplify]: Simplify 0 into 0 178.343 * [backup-simplify]: Simplify 1 into 1 178.343 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.344 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.344 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.344 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.344 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.346 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.347 * [backup-simplify]: Simplify (+ 0 0) into 0 178.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.348 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.349 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.349 * [backup-simplify]: Simplify (- 0) into 0 178.350 * [backup-simplify]: Simplify (+ 0 0) into 0 178.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.352 * [taylor]: Taking taylor expansion of 0 in phi1 178.352 * [backup-simplify]: Simplify 0 into 0 178.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.354 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.355 * [backup-simplify]: Simplify (+ 0 0) into 0 178.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.357 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.357 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.358 * [backup-simplify]: Simplify (- 0) into 0 178.358 * [backup-simplify]: Simplify (+ 0 0) into 0 178.358 * [taylor]: Taking taylor expansion of 0 in phi1 178.358 * [backup-simplify]: Simplify 0 into 0 178.358 * [taylor]: Taking taylor expansion of 0 in phi2 178.358 * [backup-simplify]: Simplify 0 into 0 178.358 * [taylor]: Taking taylor expansion of 0 in phi2 178.358 * [backup-simplify]: Simplify 0 into 0 178.359 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.359 * [taylor]: Taking taylor expansion of 0 in phi2 178.359 * [backup-simplify]: Simplify 0 into 0 178.359 * [taylor]: Taking taylor expansion of 0 in phi2 178.359 * [backup-simplify]: Simplify 0 into 0 178.359 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.359 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.361 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 178.364 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) 178.364 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0 178.364 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 178.364 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 178.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 178.364 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 178.364 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2 178.364 * [taylor]: Taking taylor expansion of phi2 in phi2 178.364 * [backup-simplify]: Simplify 0 into 0 178.364 * [backup-simplify]: Simplify 1 into 1 178.365 * [backup-simplify]: Simplify (* 1 1) into 1 178.365 * [backup-simplify]: Simplify (/ 1 1) into 1 178.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 178.365 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 178.365 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2 178.365 * [taylor]: Taking taylor expansion of phi1 in phi2 178.365 * [backup-simplify]: Simplify phi1 into phi1 178.365 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.365 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.365 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 178.365 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 178.365 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.365 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.365 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.365 * [taylor]: Taking taylor expansion of -1/2 in phi2 178.365 * [backup-simplify]: Simplify -1/2 into -1/2 178.366 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.366 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.366 * [taylor]: Taking taylor expansion of phi1 in phi2 178.366 * [backup-simplify]: Simplify phi1 into phi1 178.366 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.366 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.366 * [taylor]: Taking taylor expansion of phi2 in phi2 178.366 * [backup-simplify]: Simplify 0 into 0 178.366 * [backup-simplify]: Simplify 1 into 1 178.366 * [backup-simplify]: Simplify (/ 1 1) into 1 178.367 * [backup-simplify]: Simplify (+ 0 1) into 1 178.367 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.367 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.367 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2 178.367 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.367 * [backup-simplify]: Simplify lambda1 into lambda1 178.368 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.368 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 178.368 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 178.368 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 178.368 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.368 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.368 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.368 * [taylor]: Taking taylor expansion of -1/2 in phi2 178.368 * [backup-simplify]: Simplify -1/2 into -1/2 178.368 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.368 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.368 * [taylor]: Taking taylor expansion of phi1 in phi2 178.368 * [backup-simplify]: Simplify phi1 into phi1 178.368 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.368 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.368 * [taylor]: Taking taylor expansion of phi2 in phi2 178.368 * [backup-simplify]: Simplify 0 into 0 178.368 * [backup-simplify]: Simplify 1 into 1 178.369 * [backup-simplify]: Simplify (/ 1 1) into 1 178.369 * [backup-simplify]: Simplify (+ 0 1) into 1 178.370 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.370 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.370 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2 178.370 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.370 * [backup-simplify]: Simplify lambda2 into lambda2 178.370 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.370 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 178.371 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 178.371 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 178.371 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 178.371 * [taylor]: Taking taylor expansion of 2 in phi2 178.371 * [backup-simplify]: Simplify 2 into 2 178.371 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 178.371 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2 178.371 * [taylor]: Taking taylor expansion of phi1 in phi2 178.371 * [backup-simplify]: Simplify phi1 into phi1 178.371 * [taylor]: Taking taylor expansion of phi2 in phi2 178.371 * [backup-simplify]: Simplify 0 into 0 178.371 * [backup-simplify]: Simplify 1 into 1 178.371 * [backup-simplify]: Simplify (* phi1 0) into 0 178.371 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1 178.371 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.371 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 178.372 * [taylor]: Taking taylor expansion of 2 in phi2 178.372 * [backup-simplify]: Simplify 2 into 2 178.372 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 178.372 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.372 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.372 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.372 * [taylor]: Taking taylor expansion of -1/2 in phi2 178.372 * [backup-simplify]: Simplify -1/2 into -1/2 178.372 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.372 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.372 * [taylor]: Taking taylor expansion of phi1 in phi2 178.372 * [backup-simplify]: Simplify phi1 into phi1 178.372 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.372 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.372 * [taylor]: Taking taylor expansion of phi2 in phi2 178.372 * [backup-simplify]: Simplify 0 into 0 178.372 * [backup-simplify]: Simplify 1 into 1 178.372 * [backup-simplify]: Simplify (/ 1 1) into 1 178.373 * [backup-simplify]: Simplify (+ 0 1) into 1 178.373 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.373 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.373 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2 178.374 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.374 * [backup-simplify]: Simplify lambda1 into lambda1 178.374 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.374 * [backup-simplify]: Simplify lambda2 into lambda2 178.374 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.374 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 178.374 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 178.375 * [backup-simplify]: Simplify (+ 1 0) into 1 178.375 * [backup-simplify]: Simplify (+ 1 0) into 1 178.376 * [backup-simplify]: Simplify (sqrt 1) into 1 178.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 178.378 * [backup-simplify]: Simplify (+ 0 0) into 0 178.378 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 178.378 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 178.378 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 178.378 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 178.379 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 178.379 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 178.379 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 178.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 178.379 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 178.379 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 178.379 * [taylor]: Taking taylor expansion of phi2 in phi1 178.379 * [backup-simplify]: Simplify phi2 into phi2 178.379 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.379 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 178.379 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 178.379 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 178.379 * [taylor]: Taking taylor expansion of phi1 in phi1 178.379 * [backup-simplify]: Simplify 0 into 0 178.379 * [backup-simplify]: Simplify 1 into 1 178.380 * [backup-simplify]: Simplify (* 1 1) into 1 178.380 * [backup-simplify]: Simplify (/ 1 1) into 1 178.380 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 178.380 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 178.380 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.380 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.380 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.380 * [taylor]: Taking taylor expansion of -1/2 in phi1 178.381 * [backup-simplify]: Simplify -1/2 into -1/2 178.381 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.381 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.381 * [taylor]: Taking taylor expansion of phi1 in phi1 178.381 * [backup-simplify]: Simplify 0 into 0 178.381 * [backup-simplify]: Simplify 1 into 1 178.381 * [backup-simplify]: Simplify (/ 1 1) into 1 178.381 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.381 * [taylor]: Taking taylor expansion of phi2 in phi1 178.381 * [backup-simplify]: Simplify phi2 into phi2 178.381 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.382 * [backup-simplify]: Simplify (+ 1 0) into 1 178.382 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.382 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.382 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1 178.382 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.382 * [backup-simplify]: Simplify lambda1 into lambda1 178.383 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.383 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 178.383 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 178.383 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 178.383 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.383 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.383 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.383 * [taylor]: Taking taylor expansion of -1/2 in phi1 178.383 * [backup-simplify]: Simplify -1/2 into -1/2 178.383 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.383 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.383 * [taylor]: Taking taylor expansion of phi1 in phi1 178.383 * [backup-simplify]: Simplify 0 into 0 178.383 * [backup-simplify]: Simplify 1 into 1 178.384 * [backup-simplify]: Simplify (/ 1 1) into 1 178.384 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.384 * [taylor]: Taking taylor expansion of phi2 in phi1 178.384 * [backup-simplify]: Simplify phi2 into phi2 178.384 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.384 * [backup-simplify]: Simplify (+ 1 0) into 1 178.385 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.385 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.385 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1 178.385 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.385 * [backup-simplify]: Simplify lambda2 into lambda2 178.385 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.386 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 178.386 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 178.386 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 178.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 178.386 * [taylor]: Taking taylor expansion of 2 in phi1 178.386 * [backup-simplify]: Simplify 2 into 2 178.386 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 178.386 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 178.386 * [taylor]: Taking taylor expansion of phi1 in phi1 178.386 * [backup-simplify]: Simplify 0 into 0 178.386 * [backup-simplify]: Simplify 1 into 1 178.386 * [taylor]: Taking taylor expansion of phi2 in phi1 178.386 * [backup-simplify]: Simplify phi2 into phi2 178.386 * [backup-simplify]: Simplify (* 0 phi2) into 0 178.387 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 178.387 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.387 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 178.387 * [taylor]: Taking taylor expansion of 2 in phi1 178.387 * [backup-simplify]: Simplify 2 into 2 178.387 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 178.387 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.387 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.387 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.387 * [taylor]: Taking taylor expansion of -1/2 in phi1 178.387 * [backup-simplify]: Simplify -1/2 into -1/2 178.387 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.387 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.387 * [taylor]: Taking taylor expansion of phi1 in phi1 178.387 * [backup-simplify]: Simplify 0 into 0 178.387 * [backup-simplify]: Simplify 1 into 1 178.388 * [backup-simplify]: Simplify (/ 1 1) into 1 178.388 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.388 * [taylor]: Taking taylor expansion of phi2 in phi1 178.388 * [backup-simplify]: Simplify phi2 into phi2 178.388 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.388 * [backup-simplify]: Simplify (+ 1 0) into 1 178.391 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.391 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.391 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1 178.391 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.392 * [backup-simplify]: Simplify lambda1 into lambda1 178.392 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.392 * [backup-simplify]: Simplify lambda2 into lambda2 178.392 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.392 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 178.392 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 178.393 * [backup-simplify]: Simplify (+ 1 0) into 1 178.393 * [backup-simplify]: Simplify (+ 0 1) into 1 178.394 * [backup-simplify]: Simplify (+ 1 0) into 1 178.394 * [backup-simplify]: Simplify (sqrt 1) into 1 178.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 178.396 * [backup-simplify]: Simplify (+ 0 0) into 0 178.396 * [backup-simplify]: Simplify (+ 0 0) into 0 178.397 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 178.397 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 178.397 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 178.397 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 178.398 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 178.398 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 178.398 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 178.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 178.398 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 178.398 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 178.398 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.398 * [backup-simplify]: Simplify phi2 into phi2 178.398 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.398 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 178.398 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 178.399 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 178.399 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.399 * [backup-simplify]: Simplify phi1 into phi1 178.399 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.399 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.399 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 178.399 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 178.399 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.399 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.399 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.399 * [taylor]: Taking taylor expansion of -1/2 in lambda2 178.399 * [backup-simplify]: Simplify -1/2 into -1/2 178.399 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.399 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.399 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.399 * [backup-simplify]: Simplify phi1 into phi1 178.399 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.399 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.399 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.399 * [backup-simplify]: Simplify phi2 into phi2 178.399 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.399 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.399 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.400 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.400 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.400 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.400 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.401 * [backup-simplify]: Simplify (- 0) into 0 178.401 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.401 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2 178.401 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.401 * [backup-simplify]: Simplify lambda1 into lambda1 178.401 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.402 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 178.402 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 178.402 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 178.402 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.402 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.402 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.402 * [taylor]: Taking taylor expansion of -1/2 in lambda2 178.402 * [backup-simplify]: Simplify -1/2 into -1/2 178.402 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.402 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.402 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.402 * [backup-simplify]: Simplify phi1 into phi1 178.402 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.402 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.402 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.402 * [backup-simplify]: Simplify phi2 into phi2 178.402 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.402 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.403 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.403 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.403 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.403 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.403 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.404 * [backup-simplify]: Simplify (- 0) into 0 178.404 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.404 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 178.404 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.404 * [backup-simplify]: Simplify 0 into 0 178.404 * [backup-simplify]: Simplify 1 into 1 178.404 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.405 * [backup-simplify]: Simplify (* 1 1) into 1 178.405 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.405 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 178.405 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 178.405 * [taylor]: Taking taylor expansion of 2 in lambda2 178.405 * [backup-simplify]: Simplify 2 into 2 178.405 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 178.405 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 178.405 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.405 * [backup-simplify]: Simplify phi1 into phi1 178.405 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.405 * [backup-simplify]: Simplify phi2 into phi2 178.405 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.405 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 178.405 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 178.405 * [taylor]: Taking taylor expansion of 2 in lambda2 178.405 * [backup-simplify]: Simplify 2 into 2 178.405 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 178.405 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.405 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.405 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.405 * [taylor]: Taking taylor expansion of -1/2 in lambda2 178.405 * [backup-simplify]: Simplify -1/2 into -1/2 178.405 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.405 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.405 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.406 * [backup-simplify]: Simplify phi1 into phi1 178.406 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.406 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.406 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.406 * [backup-simplify]: Simplify phi2 into phi2 178.406 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.406 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.406 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.406 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.406 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.406 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.406 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.407 * [backup-simplify]: Simplify (- 0) into 0 178.407 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.407 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2 178.407 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.407 * [backup-simplify]: Simplify lambda1 into lambda1 178.407 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.407 * [backup-simplify]: Simplify 0 into 0 178.407 * [backup-simplify]: Simplify 1 into 1 178.407 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.408 * [backup-simplify]: Simplify (* lambda1 0) into 0 178.408 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 178.409 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 178.409 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.409 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.409 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.409 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.410 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.410 * [backup-simplify]: Simplify (+ 0) into 0 178.411 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.411 * [backup-simplify]: Simplify (+ 0 0) into 0 178.412 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.413 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.413 * [backup-simplify]: Simplify (- 0) into 0 178.414 * [backup-simplify]: Simplify (+ 0 0) into 0 178.414 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 178.416 * [backup-simplify]: Simplify (+ 0 0) into 0 178.417 * [backup-simplify]: Simplify (+ 0 0) into 0 178.417 * [backup-simplify]: Simplify (+ 0 0) into 0 178.417 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 178.417 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 178.418 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 178.418 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 178.419 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 178.419 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 178.419 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 178.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 178.419 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 178.419 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 178.419 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.419 * [backup-simplify]: Simplify phi2 into phi2 178.419 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.419 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 178.419 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 178.419 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 178.419 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.419 * [backup-simplify]: Simplify phi1 into phi1 178.419 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.419 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.419 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 178.419 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 178.419 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.420 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.420 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.420 * [taylor]: Taking taylor expansion of -1/2 in lambda1 178.420 * [backup-simplify]: Simplify -1/2 into -1/2 178.420 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.420 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.420 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.420 * [backup-simplify]: Simplify phi1 into phi1 178.420 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.420 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.420 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.420 * [backup-simplify]: Simplify phi2 into phi2 178.420 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.420 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.420 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.420 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.420 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.421 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.421 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.421 * [backup-simplify]: Simplify (- 0) into 0 178.422 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.422 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 178.422 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.422 * [backup-simplify]: Simplify 0 into 0 178.422 * [backup-simplify]: Simplify 1 into 1 178.422 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.422 * [backup-simplify]: Simplify (* 1 1) into 1 178.423 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.423 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 178.423 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.423 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.423 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.423 * [taylor]: Taking taylor expansion of -1/2 in lambda1 178.423 * [backup-simplify]: Simplify -1/2 into -1/2 178.423 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.423 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.423 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.423 * [backup-simplify]: Simplify phi1 into phi1 178.423 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.423 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.423 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.423 * [backup-simplify]: Simplify phi2 into phi2 178.423 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.423 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.423 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.423 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.423 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.424 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.424 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.424 * [backup-simplify]: Simplify (- 0) into 0 178.424 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.425 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 178.425 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.425 * [backup-simplify]: Simplify lambda2 into lambda2 178.425 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.425 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 178.425 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 178.425 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 178.425 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 178.425 * [taylor]: Taking taylor expansion of 2 in lambda1 178.425 * [backup-simplify]: Simplify 2 into 2 178.425 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 178.425 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 178.425 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.425 * [backup-simplify]: Simplify phi1 into phi1 178.425 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.425 * [backup-simplify]: Simplify phi2 into phi2 178.426 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.426 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 178.426 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 178.426 * [taylor]: Taking taylor expansion of 2 in lambda1 178.426 * [backup-simplify]: Simplify 2 into 2 178.426 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 178.426 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.426 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.426 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.426 * [taylor]: Taking taylor expansion of -1/2 in lambda1 178.426 * [backup-simplify]: Simplify -1/2 into -1/2 178.426 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.426 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.426 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.426 * [backup-simplify]: Simplify phi1 into phi1 178.426 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.426 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.426 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.426 * [backup-simplify]: Simplify phi2 into phi2 178.426 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.426 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.426 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.427 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.427 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.427 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.427 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.428 * [backup-simplify]: Simplify (- 0) into 0 178.428 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.428 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 178.428 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.428 * [backup-simplify]: Simplify 0 into 0 178.428 * [backup-simplify]: Simplify 1 into 1 178.428 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.428 * [backup-simplify]: Simplify lambda2 into lambda2 178.428 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.428 * [backup-simplify]: Simplify (* 0 lambda2) into 0 178.429 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 178.429 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 178.429 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.429 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.430 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.430 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.430 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.430 * [backup-simplify]: Simplify (+ 0) into 0 178.431 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.432 * [backup-simplify]: Simplify (+ 0 0) into 0 178.432 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.433 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.434 * [backup-simplify]: Simplify (- 0) into 0 178.434 * [backup-simplify]: Simplify (+ 0 0) into 0 178.434 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 178.436 * [backup-simplify]: Simplify (+ 0 0) into 0 178.437 * [backup-simplify]: Simplify (+ 0 0) into 0 178.437 * [backup-simplify]: Simplify (+ 0 0) into 0 178.437 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 178.438 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 178.438 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 178.438 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 178.439 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 178.439 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 178.439 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 178.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 178.439 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 178.439 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1 178.439 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.439 * [backup-simplify]: Simplify phi2 into phi2 178.439 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.439 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 178.439 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 178.439 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1 178.439 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.440 * [backup-simplify]: Simplify phi1 into phi1 178.440 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.440 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.440 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 178.440 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 178.440 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.440 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.440 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.440 * [taylor]: Taking taylor expansion of -1/2 in lambda1 178.440 * [backup-simplify]: Simplify -1/2 into -1/2 178.440 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.440 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.440 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.440 * [backup-simplify]: Simplify phi1 into phi1 178.440 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.440 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.440 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.440 * [backup-simplify]: Simplify phi2 into phi2 178.440 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.440 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.440 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.440 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.441 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.441 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.441 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.441 * [backup-simplify]: Simplify (- 0) into 0 178.442 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.442 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1 178.442 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.442 * [backup-simplify]: Simplify 0 into 0 178.442 * [backup-simplify]: Simplify 1 into 1 178.442 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.442 * [backup-simplify]: Simplify (* 1 1) into 1 178.443 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.443 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 178.443 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.443 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.443 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.443 * [taylor]: Taking taylor expansion of -1/2 in lambda1 178.443 * [backup-simplify]: Simplify -1/2 into -1/2 178.443 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.443 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.443 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.443 * [backup-simplify]: Simplify phi1 into phi1 178.443 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.443 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.443 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.443 * [backup-simplify]: Simplify phi2 into phi2 178.443 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.443 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.443 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.444 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.444 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.444 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.444 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.444 * [backup-simplify]: Simplify (- 0) into 0 178.445 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.445 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1 178.445 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.445 * [backup-simplify]: Simplify lambda2 into lambda2 178.445 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.445 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2) 178.445 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 178.445 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 178.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 178.445 * [taylor]: Taking taylor expansion of 2 in lambda1 178.445 * [backup-simplify]: Simplify 2 into 2 178.445 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 178.446 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1 178.446 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.446 * [backup-simplify]: Simplify phi1 into phi1 178.446 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.446 * [backup-simplify]: Simplify phi2 into phi2 178.446 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.446 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 178.446 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 178.446 * [taylor]: Taking taylor expansion of 2 in lambda1 178.446 * [backup-simplify]: Simplify 2 into 2 178.446 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 178.446 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.446 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.446 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.446 * [taylor]: Taking taylor expansion of -1/2 in lambda1 178.446 * [backup-simplify]: Simplify -1/2 into -1/2 178.446 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.446 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.446 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.446 * [backup-simplify]: Simplify phi1 into phi1 178.446 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.446 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.446 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.446 * [backup-simplify]: Simplify phi2 into phi2 178.446 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.446 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.446 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.447 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.447 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.447 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.447 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.448 * [backup-simplify]: Simplify (- 0) into 0 178.448 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.448 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1 178.448 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.448 * [backup-simplify]: Simplify 0 into 0 178.448 * [backup-simplify]: Simplify 1 into 1 178.448 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.448 * [backup-simplify]: Simplify lambda2 into lambda2 178.448 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.448 * [backup-simplify]: Simplify (* 0 lambda2) into 0 178.449 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 178.449 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 178.449 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.449 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.450 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.450 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.450 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.450 * [backup-simplify]: Simplify (+ 0) into 0 178.451 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.452 * [backup-simplify]: Simplify (+ 0 0) into 0 178.452 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.454 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.454 * [backup-simplify]: Simplify (- 0) into 0 178.454 * [backup-simplify]: Simplify (+ 0 0) into 0 178.455 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 178.457 * [backup-simplify]: Simplify (+ 0 0) into 0 178.457 * [backup-simplify]: Simplify (+ 0 0) into 0 178.457 * [backup-simplify]: Simplify (+ 0 0) into 0 178.458 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 178.458 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 178.458 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 178.459 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 178.459 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 178.459 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.459 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.459 * [taylor]: Taking taylor expansion of -1/2 in lambda2 178.459 * [backup-simplify]: Simplify -1/2 into -1/2 178.460 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.460 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.460 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.460 * [backup-simplify]: Simplify phi1 into phi1 178.460 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.460 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.460 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.460 * [backup-simplify]: Simplify phi2 into phi2 178.460 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.460 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.460 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.460 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.460 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.460 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 178.460 * [taylor]: Taking taylor expansion of -1 in lambda2 178.460 * [backup-simplify]: Simplify -1 into -1 178.460 * [taylor]: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 178.460 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.460 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.461 * [taylor]: Taking taylor expansion of -1/2 in lambda2 178.461 * [backup-simplify]: Simplify -1/2 into -1/2 178.461 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.461 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.461 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.461 * [backup-simplify]: Simplify phi1 into phi1 178.461 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.461 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.461 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.461 * [backup-simplify]: Simplify phi2 into phi2 178.461 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.461 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.461 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.461 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.461 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.461 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.461 * [backup-simplify]: Simplify 0 into 0 178.461 * [backup-simplify]: Simplify 1 into 1 178.462 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.462 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.462 * [backup-simplify]: Simplify (- 0) into 0 178.463 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.463 * [backup-simplify]: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.463 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.463 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 178.463 * [taylor]: Taking taylor expansion of -1 in phi1 178.463 * [backup-simplify]: Simplify -1 into -1 178.463 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.463 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.463 * [taylor]: Taking taylor expansion of -1/2 in phi1 178.463 * [backup-simplify]: Simplify -1/2 into -1/2 178.463 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.463 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.463 * [taylor]: Taking taylor expansion of phi1 in phi1 178.463 * [backup-simplify]: Simplify 0 into 0 178.463 * [backup-simplify]: Simplify 1 into 1 178.464 * [backup-simplify]: Simplify (/ 1 1) into 1 178.464 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.464 * [taylor]: Taking taylor expansion of phi2 in phi1 178.464 * [backup-simplify]: Simplify phi2 into phi2 178.464 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.464 * [backup-simplify]: Simplify (+ 1 0) into 1 178.465 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.465 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.465 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.465 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.465 * [backup-simplify]: Simplify (- 0) into 0 178.466 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.466 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.466 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.466 * [taylor]: Taking taylor expansion of -1/2 in phi1 178.466 * [backup-simplify]: Simplify -1/2 into -1/2 178.466 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.466 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.466 * [taylor]: Taking taylor expansion of phi1 in phi1 178.466 * [backup-simplify]: Simplify 0 into 0 178.466 * [backup-simplify]: Simplify 1 into 1 178.466 * [backup-simplify]: Simplify (/ 1 1) into 1 178.466 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.466 * [taylor]: Taking taylor expansion of phi2 in phi1 178.466 * [backup-simplify]: Simplify phi2 into phi2 178.466 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.467 * [backup-simplify]: Simplify (+ 1 0) into 1 178.467 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.467 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.469 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.469 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.470 * [backup-simplify]: Simplify (+ 0 0) into 0 178.471 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.472 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.473 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.473 * [backup-simplify]: Simplify (- 0) into 0 178.473 * [backup-simplify]: Simplify (+ 0 0) into 0 178.474 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 178.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.477 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 178.477 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 178.478 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 178.478 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 178.478 * [backup-simplify]: Simplify (+ 0) into 0 178.479 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.479 * [backup-simplify]: Simplify (+ 0 0) into 0 178.480 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.481 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.481 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.481 * [backup-simplify]: Simplify (- 0) into 0 178.482 * [backup-simplify]: Simplify (+ 0 0) into 0 178.482 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 178.483 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 178.484 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 178.484 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 178.484 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 178.485 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 178.487 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 178.487 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.487 * [backup-simplify]: Simplify 1/2 into 1/2 178.487 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 178.487 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 178.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 178.487 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 178.487 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 178.487 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.487 * [backup-simplify]: Simplify phi2 into phi2 178.487 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.487 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.487 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 178.487 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 178.487 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.487 * [backup-simplify]: Simplify phi1 into phi1 178.487 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.487 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.487 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 178.487 * [taylor]: Taking taylor expansion of 2 in lambda2 178.487 * [backup-simplify]: Simplify 2 into 2 178.487 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 178.487 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 178.487 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.487 * [backup-simplify]: Simplify phi1 into phi1 178.487 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.487 * [backup-simplify]: Simplify phi2 into phi2 178.488 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.488 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 178.488 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.488 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.488 * [taylor]: Taking taylor expansion of -1/2 in lambda2 178.488 * [backup-simplify]: Simplify -1/2 into -1/2 178.488 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.488 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.488 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.488 * [backup-simplify]: Simplify phi1 into phi1 178.488 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.488 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.488 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.488 * [backup-simplify]: Simplify phi2 into phi2 178.488 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.488 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.488 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.488 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.489 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.489 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 178.489 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 178.489 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 178.489 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 178.489 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.490 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.490 * [backup-simplify]: Simplify (- 0) into 0 178.490 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.491 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.491 * [backup-simplify]: Simplify (+ 0) into 0 178.492 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.492 * [backup-simplify]: Simplify (+ 0 0) into 0 178.493 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.494 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.495 * [backup-simplify]: Simplify (- 0) into 0 178.495 * [backup-simplify]: Simplify (+ 0 0) into 0 178.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 178.496 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.496 * [taylor]: Taking taylor expansion of 0 in phi1 178.496 * [backup-simplify]: Simplify 0 into 0 178.497 * [backup-simplify]: Simplify (+ 0) into 0 178.497 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.497 * [backup-simplify]: Simplify (+ 0 0) into 0 178.498 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.498 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.498 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.499 * [backup-simplify]: Simplify (- 0) into 0 178.499 * [backup-simplify]: Simplify (+ 0 0) into 0 178.499 * [taylor]: Taking taylor expansion of 0 in phi1 178.499 * [backup-simplify]: Simplify 0 into 0 178.499 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.499 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 178.499 * [taylor]: Taking taylor expansion of -1 in phi2 178.499 * [backup-simplify]: Simplify -1 into -1 178.499 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.499 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.499 * [taylor]: Taking taylor expansion of -1/2 in phi2 178.499 * [backup-simplify]: Simplify -1/2 into -1/2 178.499 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.499 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.499 * [taylor]: Taking taylor expansion of phi1 in phi2 178.499 * [backup-simplify]: Simplify phi1 into phi1 178.499 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.499 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.499 * [taylor]: Taking taylor expansion of phi2 in phi2 178.499 * [backup-simplify]: Simplify 0 into 0 178.499 * [backup-simplify]: Simplify 1 into 1 178.500 * [backup-simplify]: Simplify (/ 1 1) into 1 178.500 * [backup-simplify]: Simplify (+ 0 1) into 1 178.500 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.500 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.500 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.500 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.500 * [taylor]: Taking taylor expansion of -1/2 in phi2 178.500 * [backup-simplify]: Simplify -1/2 into -1/2 178.500 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.500 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.500 * [taylor]: Taking taylor expansion of phi1 in phi2 178.500 * [backup-simplify]: Simplify phi1 into phi1 178.500 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.500 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.501 * [taylor]: Taking taylor expansion of phi2 in phi2 178.501 * [backup-simplify]: Simplify 0 into 0 178.501 * [backup-simplify]: Simplify 1 into 1 178.501 * [backup-simplify]: Simplify (/ 1 1) into 1 178.501 * [backup-simplify]: Simplify (+ 0 1) into 1 178.501 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.501 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.502 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 178.502 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 178.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 178.502 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 178.503 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 178.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.503 * [backup-simplify]: Simplify (+ 0 0) into 0 178.504 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.505 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 178.506 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 178.506 * [backup-simplify]: Simplify (- 0) into 0 178.506 * [backup-simplify]: Simplify (+ 0 0) into 0 178.507 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 178.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 178.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.509 * [backup-simplify]: Simplify (+ 0) into 0 178.509 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.509 * [backup-simplify]: Simplify (+ 0 0) into 0 178.510 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.511 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.511 * [backup-simplify]: Simplify (- 0) into 0 178.511 * [backup-simplify]: Simplify (+ 0 0) into 0 178.511 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.511 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 178.512 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 178.512 * [backup-simplify]: Simplify (+ 0 0) into 0 178.512 * [backup-simplify]: Simplify (+ 0 0) into 0 178.512 * [backup-simplify]: Simplify (+ 0 0) into 0 178.512 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 178.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 178.513 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 178.513 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.514 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.514 * [backup-simplify]: Simplify (+ 0 0) into 0 178.515 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.515 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.516 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.516 * [backup-simplify]: Simplify (- 0) into 0 178.516 * [backup-simplify]: Simplify (+ 0 0) into 0 178.516 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0 178.517 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 178.518 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 178.518 * [backup-simplify]: Simplify (+ 0 0) into 0 178.519 * [backup-simplify]: Simplify (- 0) into 0 178.519 * [backup-simplify]: Simplify (+ 0 0) into 0 178.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 178.520 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.520 * [backup-simplify]: Simplify 1/2 into 1/2 178.520 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 178.520 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 178.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 178.520 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 178.520 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 178.520 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.520 * [backup-simplify]: Simplify 0 into 0 178.520 * [backup-simplify]: Simplify 1 into 1 178.520 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2 178.520 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.520 * [backup-simplify]: Simplify phi2 into phi2 178.520 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.520 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0 178.520 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 178.520 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 178.520 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.520 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 178.520 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 178.520 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.521 * [backup-simplify]: Simplify 0 into 0 178.521 * [backup-simplify]: Simplify 1 into 1 178.521 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2 178.521 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.521 * [backup-simplify]: Simplify phi1 into phi1 178.521 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2) 178.521 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0 178.521 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 178.521 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 178.521 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 178.521 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 178.521 * [taylor]: Taking taylor expansion of 2 in lambda2 178.521 * [backup-simplify]: Simplify 2 into 2 178.521 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 178.521 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 178.521 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.521 * [backup-simplify]: Simplify 0 into 0 178.521 * [backup-simplify]: Simplify 1 into 1 178.521 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2 178.521 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.521 * [backup-simplify]: Simplify phi1 into phi1 178.521 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.521 * [backup-simplify]: Simplify phi2 into phi2 178.521 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2) 178.521 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0 178.521 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 178.523 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 178.524 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 178.524 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.524 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.524 * [taylor]: Taking taylor expansion of -1/2 in lambda2 178.524 * [backup-simplify]: Simplify -1/2 into -1/2 178.524 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.524 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.524 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.524 * [backup-simplify]: Simplify phi1 into phi1 178.524 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.524 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.524 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.524 * [backup-simplify]: Simplify phi2 into phi2 178.524 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.524 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.524 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.524 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.524 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.524 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 178.524 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 178.525 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 178.525 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 178.525 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.525 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.526 * [backup-simplify]: Simplify (- 0) into 0 178.526 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.527 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.527 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 178.527 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.527 * [backup-simplify]: Simplify 1/2 into 1/2 178.527 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 178.527 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 178.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 178.527 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 178.527 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 178.527 * [taylor]: Taking taylor expansion of phi2 in phi1 178.527 * [backup-simplify]: Simplify phi2 into phi2 178.527 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.528 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.528 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 178.528 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 178.528 * [taylor]: Taking taylor expansion of phi1 in phi1 178.528 * [backup-simplify]: Simplify 0 into 0 178.528 * [backup-simplify]: Simplify 1 into 1 178.528 * [backup-simplify]: Simplify (* 1 1) into 1 178.529 * [backup-simplify]: Simplify (/ 1 1) into 1 178.529 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 178.529 * [taylor]: Taking taylor expansion of 2 in phi1 178.529 * [backup-simplify]: Simplify 2 into 2 178.529 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 178.529 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 178.529 * [taylor]: Taking taylor expansion of phi1 in phi1 178.529 * [backup-simplify]: Simplify 0 into 0 178.529 * [backup-simplify]: Simplify 1 into 1 178.529 * [taylor]: Taking taylor expansion of phi2 in phi1 178.529 * [backup-simplify]: Simplify phi2 into phi2 178.529 * [backup-simplify]: Simplify (* 0 phi2) into 0 178.529 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 178.530 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.530 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.530 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.530 * [taylor]: Taking taylor expansion of -1/2 in phi1 178.530 * [backup-simplify]: Simplify -1/2 into -1/2 178.530 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.530 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.530 * [taylor]: Taking taylor expansion of phi1 in phi1 178.530 * [backup-simplify]: Simplify 0 into 0 178.530 * [backup-simplify]: Simplify 1 into 1 178.530 * [backup-simplify]: Simplify (/ 1 1) into 1 178.530 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.530 * [taylor]: Taking taylor expansion of phi2 in phi1 178.530 * [backup-simplify]: Simplify phi2 into phi2 178.530 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.531 * [backup-simplify]: Simplify (+ 1 0) into 1 178.531 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.531 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.532 * [backup-simplify]: Simplify (+ 0 1) into 1 178.532 * [backup-simplify]: Simplify (+ 1 0) into 1 178.532 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 178.535 * [backup-simplify]: Simplify (+ 0 0) into 0 178.535 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 178.535 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 178.535 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 178.535 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 178.536 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 178.536 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 178.536 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 178.536 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 178.536 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.536 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.536 * [taylor]: Taking taylor expansion of -1/2 in phi2 178.536 * [backup-simplify]: Simplify -1/2 into -1/2 178.536 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.536 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.536 * [taylor]: Taking taylor expansion of phi1 in phi2 178.536 * [backup-simplify]: Simplify phi1 into phi1 178.536 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.536 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.536 * [taylor]: Taking taylor expansion of phi2 in phi2 178.536 * [backup-simplify]: Simplify 0 into 0 178.536 * [backup-simplify]: Simplify 1 into 1 178.537 * [backup-simplify]: Simplify (/ 1 1) into 1 178.537 * [backup-simplify]: Simplify (+ 0 1) into 1 178.538 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.538 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.538 * [taylor]: Taking taylor expansion of phi2 in phi2 178.538 * [backup-simplify]: Simplify 0 into 0 178.538 * [backup-simplify]: Simplify 1 into 1 178.538 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.539 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.539 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.539 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.539 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.540 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 178.540 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.540 * [backup-simplify]: Simplify 1/2 into 1/2 178.540 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 178.540 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 178.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 178.540 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 178.540 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1 178.540 * [taylor]: Taking taylor expansion of phi2 in phi1 178.540 * [backup-simplify]: Simplify phi2 into phi2 178.540 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2) 178.540 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 178.540 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 178.540 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1 178.540 * [taylor]: Taking taylor expansion of phi1 in phi1 178.540 * [backup-simplify]: Simplify 0 into 0 178.540 * [backup-simplify]: Simplify 1 into 1 178.541 * [backup-simplify]: Simplify (* 1 1) into 1 178.541 * [backup-simplify]: Simplify (/ 1 1) into 1 178.541 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 178.541 * [taylor]: Taking taylor expansion of 2 in phi1 178.541 * [backup-simplify]: Simplify 2 into 2 178.541 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 178.541 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1 178.541 * [taylor]: Taking taylor expansion of phi1 in phi1 178.541 * [backup-simplify]: Simplify 0 into 0 178.541 * [backup-simplify]: Simplify 1 into 1 178.541 * [taylor]: Taking taylor expansion of phi2 in phi1 178.541 * [backup-simplify]: Simplify phi2 into phi2 178.541 * [backup-simplify]: Simplify (* 0 phi2) into 0 178.542 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 178.542 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.542 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.542 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.542 * [taylor]: Taking taylor expansion of -1/2 in phi1 178.542 * [backup-simplify]: Simplify -1/2 into -1/2 178.542 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.542 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.542 * [taylor]: Taking taylor expansion of phi1 in phi1 178.542 * [backup-simplify]: Simplify 0 into 0 178.542 * [backup-simplify]: Simplify 1 into 1 178.542 * [backup-simplify]: Simplify (/ 1 1) into 1 178.542 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.542 * [taylor]: Taking taylor expansion of phi2 in phi1 178.543 * [backup-simplify]: Simplify phi2 into phi2 178.543 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.543 * [backup-simplify]: Simplify (+ 1 0) into 1 178.543 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.544 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.544 * [backup-simplify]: Simplify (+ 0 1) into 1 178.544 * [backup-simplify]: Simplify (+ 1 0) into 1 178.545 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 178.546 * [backup-simplify]: Simplify (+ 0 0) into 0 178.546 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 178.546 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 178.547 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 178.547 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 178.547 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 178.548 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 178.548 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 178.548 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 178.548 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.548 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.548 * [taylor]: Taking taylor expansion of -1/2 in phi2 178.548 * [backup-simplify]: Simplify -1/2 into -1/2 178.548 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.548 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.548 * [taylor]: Taking taylor expansion of phi1 in phi2 178.548 * [backup-simplify]: Simplify phi1 into phi1 178.548 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.548 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.548 * [taylor]: Taking taylor expansion of phi2 in phi2 178.548 * [backup-simplify]: Simplify 0 into 0 178.548 * [backup-simplify]: Simplify 1 into 1 178.548 * [backup-simplify]: Simplify (/ 1 1) into 1 178.549 * [backup-simplify]: Simplify (+ 0 1) into 1 178.549 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.549 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.550 * [taylor]: Taking taylor expansion of phi2 in phi2 178.550 * [backup-simplify]: Simplify 0 into 0 178.550 * [backup-simplify]: Simplify 1 into 1 178.550 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.550 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.551 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.551 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.551 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 178.552 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.553 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.554 * [backup-simplify]: Simplify (+ 0 0) into 0 178.554 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.555 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.556 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.556 * [backup-simplify]: Simplify (- 0) into 0 178.557 * [backup-simplify]: Simplify (+ 0 0) into 0 178.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.559 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.559 * [taylor]: Taking taylor expansion of 0 in phi1 178.559 * [backup-simplify]: Simplify 0 into 0 178.560 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.561 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.561 * [backup-simplify]: Simplify (+ 0 0) into 0 178.562 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.563 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.564 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.564 * [backup-simplify]: Simplify (- 0) into 0 178.564 * [backup-simplify]: Simplify (+ 0 0) into 0 178.564 * [taylor]: Taking taylor expansion of 0 in phi1 178.564 * [backup-simplify]: Simplify 0 into 0 178.564 * [taylor]: Taking taylor expansion of 0 in phi2 178.564 * [backup-simplify]: Simplify 0 into 0 178.564 * [taylor]: Taking taylor expansion of 0 in phi2 178.564 * [backup-simplify]: Simplify 0 into 0 178.565 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.565 * [taylor]: Taking taylor expansion of 0 in phi2 178.565 * [backup-simplify]: Simplify 0 into 0 178.565 * [taylor]: Taking taylor expansion of 0 in phi2 178.565 * [backup-simplify]: Simplify 0 into 0 178.565 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.566 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 178.567 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 178.567 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 178.568 * [backup-simplify]: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 178.568 * [approximate]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 178.568 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2 178.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2 178.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2 178.568 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.568 * [backup-simplify]: Simplify 1/3 into 1/3 178.568 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2 178.568 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 178.568 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 178.568 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 178.568 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.568 * [backup-simplify]: Simplify lambda1 into lambda1 178.568 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.568 * [backup-simplify]: Simplify lambda2 into lambda2 178.568 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 178.568 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 178.568 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 178.568 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 178.568 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 178.568 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.568 * [backup-simplify]: Simplify 1/2 into 1/2 178.568 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 178.568 * [taylor]: Taking taylor expansion of phi1 in phi2 178.568 * [backup-simplify]: Simplify phi1 into phi1 178.568 * [taylor]: Taking taylor expansion of phi2 in phi2 178.568 * [backup-simplify]: Simplify 0 into 0 178.569 * [backup-simplify]: Simplify 1 into 1 178.569 * [backup-simplify]: Simplify (+ phi1 0) into phi1 178.569 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 178.569 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 178.569 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 178.569 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 178.569 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 178.570 * [backup-simplify]: Simplify (- 0) into 0 178.570 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 178.570 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 178.570 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 178.570 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 178.571 * [backup-simplify]: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) 178.571 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) 178.571 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3) 178.571 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1 178.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 178.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 178.571 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.571 * [backup-simplify]: Simplify 1/3 into 1/3 178.571 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 178.571 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 178.571 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 178.571 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 178.571 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.571 * [backup-simplify]: Simplify lambda1 into lambda1 178.571 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.571 * [backup-simplify]: Simplify lambda2 into lambda2 178.571 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 178.571 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 178.571 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 178.571 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 178.571 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 178.572 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.572 * [backup-simplify]: Simplify 1/2 into 1/2 178.572 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 178.572 * [taylor]: Taking taylor expansion of phi1 in phi1 178.572 * [backup-simplify]: Simplify 0 into 0 178.572 * [backup-simplify]: Simplify 1 into 1 178.572 * [taylor]: Taking taylor expansion of phi2 in phi1 178.572 * [backup-simplify]: Simplify phi2 into phi2 178.572 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 178.572 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 178.572 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 178.572 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 178.572 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 178.572 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 178.572 * [backup-simplify]: Simplify (- 0) into 0 178.573 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 178.573 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 178.573 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 178.573 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 178.573 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 178.573 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) 178.573 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) 178.573 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 178.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 178.574 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 178.574 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.574 * [backup-simplify]: Simplify 1/3 into 1/3 178.574 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 178.574 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 178.574 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 178.574 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 178.574 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.574 * [backup-simplify]: Simplify lambda1 into lambda1 178.574 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.574 * [backup-simplify]: Simplify 0 into 0 178.574 * [backup-simplify]: Simplify 1 into 1 178.574 * [backup-simplify]: Simplify (- 0) into 0 178.574 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 178.574 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.574 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.574 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.574 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.574 * [backup-simplify]: Simplify 1/2 into 1/2 178.574 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.574 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.574 * [backup-simplify]: Simplify phi1 into phi1 178.574 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.575 * [backup-simplify]: Simplify phi2 into phi2 178.575 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.575 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.575 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.575 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.575 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.575 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.575 * [backup-simplify]: Simplify (- 0) into 0 178.575 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.575 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 178.576 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.576 * [backup-simplify]: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 178.576 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 178.576 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) 178.576 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 178.576 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 178.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 178.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 178.576 * [taylor]: Taking taylor expansion of 1/3 in lambda1 178.576 * [backup-simplify]: Simplify 1/3 into 1/3 178.576 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 178.577 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 178.577 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 178.577 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 178.577 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.577 * [backup-simplify]: Simplify 0 into 0 178.577 * [backup-simplify]: Simplify 1 into 1 178.577 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.577 * [backup-simplify]: Simplify lambda2 into lambda2 178.577 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 178.577 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 178.577 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 178.577 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 178.577 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 178.577 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.577 * [backup-simplify]: Simplify 1/2 into 1/2 178.577 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 178.577 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.577 * [backup-simplify]: Simplify phi1 into phi1 178.577 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.577 * [backup-simplify]: Simplify phi2 into phi2 178.577 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.577 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.577 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.577 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.577 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.577 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.578 * [backup-simplify]: Simplify (- 0) into 0 178.578 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.578 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 178.578 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.578 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.579 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 178.579 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 178.579 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 178.579 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 178.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 178.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 178.579 * [taylor]: Taking taylor expansion of 1/3 in lambda1 178.579 * [backup-simplify]: Simplify 1/3 into 1/3 178.579 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 178.579 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 178.579 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 178.579 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 178.579 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.579 * [backup-simplify]: Simplify 0 into 0 178.579 * [backup-simplify]: Simplify 1 into 1 178.579 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.579 * [backup-simplify]: Simplify lambda2 into lambda2 178.579 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 178.579 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 178.579 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 178.579 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 178.579 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 178.579 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.579 * [backup-simplify]: Simplify 1/2 into 1/2 178.579 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 178.580 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.580 * [backup-simplify]: Simplify phi1 into phi1 178.580 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.580 * [backup-simplify]: Simplify phi2 into phi2 178.580 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.580 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.580 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.580 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.580 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.580 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.581 * [backup-simplify]: Simplify (- 0) into 0 178.581 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.581 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 178.581 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.581 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.581 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 178.581 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 178.582 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 178.582 * [taylor]: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 178.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 178.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 178.582 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.582 * [backup-simplify]: Simplify 1/3 into 1/3 178.582 * [taylor]: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 178.582 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 178.582 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 178.582 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.582 * [backup-simplify]: Simplify 0 into 0 178.582 * [backup-simplify]: Simplify 1 into 1 178.582 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.582 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.582 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.582 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.582 * [backup-simplify]: Simplify 1/2 into 1/2 178.582 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.582 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.582 * [backup-simplify]: Simplify phi1 into phi1 178.582 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.582 * [backup-simplify]: Simplify phi2 into phi2 178.582 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.582 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.582 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.582 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.582 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.583 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.583 * [backup-simplify]: Simplify (- 0) into 0 178.583 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.583 * [backup-simplify]: Simplify (* 1 1) into 1 178.584 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.584 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.584 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.585 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 178.585 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) 178.585 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) 178.585 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1 178.585 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1 178.585 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.585 * [backup-simplify]: Simplify 1/3 into 1/3 178.585 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1 178.585 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 178.585 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 178.585 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 178.585 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 178.585 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.585 * [backup-simplify]: Simplify 1/2 into 1/2 178.585 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 178.585 * [taylor]: Taking taylor expansion of phi1 in phi1 178.585 * [backup-simplify]: Simplify 0 into 0 178.585 * [backup-simplify]: Simplify 1 into 1 178.585 * [taylor]: Taking taylor expansion of phi2 in phi1 178.585 * [backup-simplify]: Simplify phi2 into phi2 178.585 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 178.586 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 178.586 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 178.586 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 178.586 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 178.586 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 178.586 * [backup-simplify]: Simplify (- 0) into 0 178.586 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 178.587 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 178.587 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 178.587 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi1 178.587 * [taylor]: Taking taylor expansion of 2 in phi1 178.587 * [backup-simplify]: Simplify 2 into 2 178.587 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 178.587 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.587 * [backup-simplify]: Simplify lambda2 into lambda2 178.587 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.587 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 178.587 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) 178.587 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) 178.587 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) 178.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 178.587 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 178.588 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.588 * [backup-simplify]: Simplify 1/3 into 1/3 178.588 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 178.588 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 178.588 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 178.588 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.588 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.588 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.588 * [backup-simplify]: Simplify 1/2 into 1/2 178.588 * [taylor]: Taking taylor expansion of phi2 in phi2 178.588 * [backup-simplify]: Simplify 0 into 0 178.588 * [backup-simplify]: Simplify 1 into 1 178.588 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.589 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.590 * [backup-simplify]: Simplify (* 1 1) into 1 178.590 * [backup-simplify]: Simplify (log 1) into 0 178.590 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 178.590 * [taylor]: Taking taylor expansion of 2 in phi2 178.590 * [backup-simplify]: Simplify 2 into 2 178.590 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 178.590 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.590 * [backup-simplify]: Simplify lambda2 into lambda2 178.590 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.590 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 178.590 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 178.590 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 178.591 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 178.591 * [backup-simplify]: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) 178.591 * [backup-simplify]: Simplify (+ 0) into 0 178.592 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 178.592 * [backup-simplify]: Simplify (+ 0 0) into 0 178.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 178.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.594 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 178.594 * [backup-simplify]: Simplify (- 0) into 0 178.595 * [backup-simplify]: Simplify (+ 0 0) into 0 178.595 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 178.595 * [backup-simplify]: Simplify (- 0) into 0 178.596 * [backup-simplify]: Simplify (+ 1 0) into 1 178.596 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 178.596 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 178.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2) 178.597 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2))) 178.597 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) 178.598 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 178.598 * [taylor]: Taking taylor expansion of -2/3 in lambda2 178.598 * [backup-simplify]: Simplify -2/3 into -2/3 178.598 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 178.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 178.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 178.598 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.598 * [backup-simplify]: Simplify 1/3 into 1/3 178.598 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 178.598 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 178.598 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.598 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.598 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.598 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.598 * [backup-simplify]: Simplify 1/2 into 1/2 178.598 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.598 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.598 * [backup-simplify]: Simplify phi1 into phi1 178.598 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.598 * [backup-simplify]: Simplify phi2 into phi2 178.598 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.598 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.598 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.598 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.599 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.599 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.599 * [backup-simplify]: Simplify (- 0) into 0 178.599 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.599 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.599 * [backup-simplify]: Simplify 0 into 0 178.599 * [backup-simplify]: Simplify 1 into 1 178.600 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.600 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.600 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.600 * [backup-simplify]: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) 178.600 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) 178.601 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) 178.601 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) 178.601 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 178.601 * [taylor]: Taking taylor expansion of -2/3 in phi1 178.601 * [backup-simplify]: Simplify -2/3 into -2/3 178.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 178.601 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 178.601 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.601 * [backup-simplify]: Simplify 1/3 into 1/3 178.601 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 178.601 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 178.601 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 178.601 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 178.601 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 178.601 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.601 * [backup-simplify]: Simplify 1/2 into 1/2 178.601 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 178.601 * [taylor]: Taking taylor expansion of phi1 in phi1 178.601 * [backup-simplify]: Simplify 0 into 0 178.601 * [backup-simplify]: Simplify 1 into 1 178.601 * [taylor]: Taking taylor expansion of phi2 in phi1 178.601 * [backup-simplify]: Simplify phi2 into phi2 178.601 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 178.601 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 178.601 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 178.601 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 178.601 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 178.601 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 178.602 * [backup-simplify]: Simplify (- 0) into 0 178.602 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 178.602 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 178.602 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 178.602 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 178.602 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.602 * [backup-simplify]: Simplify lambda2 into lambda2 178.602 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.602 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 178.602 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) 178.602 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) 178.602 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) 178.602 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) 178.602 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 178.602 * [taylor]: Taking taylor expansion of -2/3 in phi2 178.602 * [backup-simplify]: Simplify -2/3 into -2/3 178.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 178.602 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 178.602 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.602 * [backup-simplify]: Simplify 1/3 into 1/3 178.602 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 178.602 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 178.602 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 178.602 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.602 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.602 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.602 * [backup-simplify]: Simplify 1/2 into 1/2 178.603 * [taylor]: Taking taylor expansion of phi2 in phi2 178.603 * [backup-simplify]: Simplify 0 into 0 178.603 * [backup-simplify]: Simplify 1 into 1 178.603 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.603 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.604 * [backup-simplify]: Simplify (* 1 1) into 1 178.604 * [backup-simplify]: Simplify (log 1) into 0 178.604 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 178.604 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.604 * [backup-simplify]: Simplify lambda2 into lambda2 178.604 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.604 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 178.604 * [backup-simplify]: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) 178.604 * [backup-simplify]: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) 178.604 * [backup-simplify]: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) 178.604 * [backup-simplify]: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 178.604 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 178.604 * [backup-simplify]: Simplify (+ 0) into 0 178.605 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 178.605 * [backup-simplify]: Simplify (+ 0 0) into 0 178.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 178.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.606 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 178.606 * [backup-simplify]: Simplify (- 0) into 0 178.607 * [backup-simplify]: Simplify (+ 0 0) into 0 178.607 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 178.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 178.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 178.608 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 178.609 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0 178.609 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.609 * [taylor]: Taking taylor expansion of 0 in phi1 178.609 * [backup-simplify]: Simplify 0 into 0 178.609 * [taylor]: Taking taylor expansion of 0 in phi2 178.609 * [backup-simplify]: Simplify 0 into 0 178.609 * [backup-simplify]: Simplify 0 into 0 178.610 * [backup-simplify]: Simplify (+ 0) into 0 178.610 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 178.610 * [backup-simplify]: Simplify (+ 1 0) into 1 178.611 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 178.611 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 178.611 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 178.612 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 178.612 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 178.612 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 178.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 178.613 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 178.613 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 178.613 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 178.613 * [backup-simplify]: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 178.614 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) 178.614 * [taylor]: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2 178.614 * [taylor]: Taking taylor expansion of -1/3 in phi2 178.614 * [backup-simplify]: Simplify -1/3 into -1/3 178.614 * [taylor]: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2 178.614 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2 178.614 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 178.614 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.614 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.614 * [backup-simplify]: Simplify 1/2 into 1/2 178.614 * [taylor]: Taking taylor expansion of phi2 in phi2 178.614 * [backup-simplify]: Simplify 0 into 0 178.614 * [backup-simplify]: Simplify 1 into 1 178.614 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.615 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 178.615 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 178.615 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.615 * [backup-simplify]: Simplify 1/3 into 1/3 178.615 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 178.615 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 178.615 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 178.615 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.615 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.615 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.615 * [backup-simplify]: Simplify 1/2 into 1/2 178.615 * [taylor]: Taking taylor expansion of phi2 in phi2 178.615 * [backup-simplify]: Simplify 0 into 0 178.615 * [backup-simplify]: Simplify 1 into 1 178.615 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.615 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.616 * [backup-simplify]: Simplify (* 1 1) into 1 178.616 * [backup-simplify]: Simplify (log 1) into 0 178.616 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 178.616 * [taylor]: Taking taylor expansion of 2 in phi2 178.616 * [backup-simplify]: Simplify 2 into 2 178.616 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 178.616 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.616 * [backup-simplify]: Simplify lambda2 into lambda2 178.616 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.616 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 178.616 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 178.616 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 178.616 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 178.616 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.616 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.616 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.616 * [backup-simplify]: Simplify 1/2 into 1/2 178.616 * [taylor]: Taking taylor expansion of phi2 in phi2 178.616 * [backup-simplify]: Simplify 0 into 0 178.616 * [backup-simplify]: Simplify 1 into 1 178.617 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.617 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.617 * [backup-simplify]: Simplify (* 0 (pow lambda2 2/3)) into 0 178.617 * [backup-simplify]: Simplify (+ 0) into 0 178.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 178.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 178.619 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 178.620 * [backup-simplify]: Simplify (+ 0 0) into 0 178.620 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 178.620 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 178.621 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 178.621 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) 178.621 * [backup-simplify]: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) 178.622 * [backup-simplify]: Simplify (+ 0) into 0 178.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 178.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 178.624 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 178.624 * [backup-simplify]: Simplify (+ 0 0) into 0 178.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 178.625 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 178.625 * [backup-simplify]: Simplify 0 into 0 178.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.626 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 178.627 * [backup-simplify]: Simplify (+ 0 0) into 0 178.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 178.628 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.628 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 178.628 * [backup-simplify]: Simplify (- 0) into 0 178.629 * [backup-simplify]: Simplify (+ 0 0) into 0 178.629 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 178.629 * [backup-simplify]: Simplify (- 0) into 0 178.630 * [backup-simplify]: Simplify (+ 0 0) into 0 178.630 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 178.630 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.631 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) 178.631 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 178.631 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) 178.632 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 178.632 * [taylor]: Taking taylor expansion of -1/9 in lambda2 178.632 * [backup-simplify]: Simplify -1/9 into -1/9 178.632 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 178.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 178.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 178.632 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.632 * [backup-simplify]: Simplify 1/3 into 1/3 178.632 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 178.632 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 178.632 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.632 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.632 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.632 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.632 * [backup-simplify]: Simplify 1/2 into 1/2 178.632 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.632 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.632 * [backup-simplify]: Simplify phi1 into phi1 178.632 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.632 * [backup-simplify]: Simplify phi2 into phi2 178.632 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.632 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.632 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.632 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.632 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.632 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.633 * [backup-simplify]: Simplify (- 0) into 0 178.633 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.633 * [taylor]: Taking taylor expansion of (pow lambda2 4) in lambda2 178.633 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.633 * [backup-simplify]: Simplify 0 into 0 178.633 * [backup-simplify]: Simplify 1 into 1 178.633 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.633 * [backup-simplify]: Simplify (* 1 1) into 1 178.633 * [backup-simplify]: Simplify (* 1 1) into 1 178.633 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.634 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.634 * [backup-simplify]: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) 178.634 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) 178.634 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) 178.634 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) 178.634 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 178.634 * [taylor]: Taking taylor expansion of -1/9 in phi1 178.634 * [backup-simplify]: Simplify -1/9 into -1/9 178.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 178.634 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 178.635 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.635 * [backup-simplify]: Simplify 1/3 into 1/3 178.635 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 178.635 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 178.635 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 178.635 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 178.635 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 178.635 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.635 * [backup-simplify]: Simplify 1/2 into 1/2 178.635 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 178.635 * [taylor]: Taking taylor expansion of phi1 in phi1 178.635 * [backup-simplify]: Simplify 0 into 0 178.635 * [backup-simplify]: Simplify 1 into 1 178.635 * [taylor]: Taking taylor expansion of phi2 in phi1 178.635 * [backup-simplify]: Simplify phi2 into phi2 178.635 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 178.635 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 178.635 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 178.635 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 178.635 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 178.635 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 178.635 * [backup-simplify]: Simplify (- 0) into 0 178.635 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 178.635 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 178.636 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 178.636 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi1 178.636 * [taylor]: Taking taylor expansion of 4 in phi1 178.636 * [backup-simplify]: Simplify 4 into 4 178.636 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 178.636 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.636 * [backup-simplify]: Simplify lambda2 into lambda2 178.636 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.636 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 178.636 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 178.636 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) 178.636 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) 178.636 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) 178.636 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) 178.636 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 178.636 * [taylor]: Taking taylor expansion of -1/9 in phi2 178.636 * [backup-simplify]: Simplify -1/9 into -1/9 178.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 178.636 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 178.636 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.636 * [backup-simplify]: Simplify 1/3 into 1/3 178.636 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 178.636 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 178.636 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 178.636 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.636 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.636 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.636 * [backup-simplify]: Simplify 1/2 into 1/2 178.637 * [taylor]: Taking taylor expansion of phi2 in phi2 178.637 * [backup-simplify]: Simplify 0 into 0 178.637 * [backup-simplify]: Simplify 1 into 1 178.637 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.637 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.638 * [backup-simplify]: Simplify (* 1 1) into 1 178.638 * [backup-simplify]: Simplify (log 1) into 0 178.638 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi2 178.638 * [taylor]: Taking taylor expansion of 4 in phi2 178.638 * [backup-simplify]: Simplify 4 into 4 178.638 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 178.638 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.638 * [backup-simplify]: Simplify lambda2 into lambda2 178.638 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.638 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 178.638 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 178.638 * [backup-simplify]: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) 178.638 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) 178.638 * [backup-simplify]: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) 178.638 * [backup-simplify]: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 178.639 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 178.639 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2))))) 178.639 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 178.639 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 178.639 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2 178.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2 178.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2 178.639 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.639 * [backup-simplify]: Simplify 1/3 into 1/3 178.639 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2 178.639 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 178.639 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.639 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.640 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.640 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.640 * [backup-simplify]: Simplify 1/2 into 1/2 178.640 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.640 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.640 * [taylor]: Taking taylor expansion of phi1 in phi2 178.640 * [backup-simplify]: Simplify phi1 into phi1 178.640 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.640 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.640 * [taylor]: Taking taylor expansion of phi2 in phi2 178.640 * [backup-simplify]: Simplify 0 into 0 178.640 * [backup-simplify]: Simplify 1 into 1 178.640 * [backup-simplify]: Simplify (/ 1 1) into 1 178.640 * [backup-simplify]: Simplify (+ 0 1) into 1 178.641 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.641 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.641 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 178.641 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 178.641 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 178.641 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.641 * [backup-simplify]: Simplify lambda1 into lambda1 178.641 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 178.641 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 178.641 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.641 * [backup-simplify]: Simplify lambda2 into lambda2 178.641 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.641 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 178.641 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 178.641 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.641 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 178.642 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 178.642 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 178.642 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 178.642 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 178.642 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1 178.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1 178.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1 178.642 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.642 * [backup-simplify]: Simplify 1/3 into 1/3 178.642 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1 178.642 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 178.642 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.642 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.642 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.642 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.642 * [backup-simplify]: Simplify 1/2 into 1/2 178.642 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.642 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.642 * [taylor]: Taking taylor expansion of phi1 in phi1 178.642 * [backup-simplify]: Simplify 0 into 0 178.642 * [backup-simplify]: Simplify 1 into 1 178.643 * [backup-simplify]: Simplify (/ 1 1) into 1 178.643 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.643 * [taylor]: Taking taylor expansion of phi2 in phi1 178.643 * [backup-simplify]: Simplify phi2 into phi2 178.643 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.643 * [backup-simplify]: Simplify (+ 1 0) into 1 178.643 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.644 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.644 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 178.644 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 178.644 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 178.644 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.644 * [backup-simplify]: Simplify lambda1 into lambda1 178.644 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 178.644 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 178.644 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.644 * [backup-simplify]: Simplify lambda2 into lambda2 178.644 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.644 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 178.644 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 178.644 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.644 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 178.644 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 178.644 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 178.645 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 178.645 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 178.645 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2 178.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2 178.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2 178.645 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.645 * [backup-simplify]: Simplify 1/3 into 1/3 178.645 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2 178.645 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 178.645 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.645 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.645 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.645 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.645 * [backup-simplify]: Simplify 1/2 into 1/2 178.645 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.645 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.645 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.645 * [backup-simplify]: Simplify phi1 into phi1 178.645 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.645 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.645 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.645 * [backup-simplify]: Simplify phi2 into phi2 178.645 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.645 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.645 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.645 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.646 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.646 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.646 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.646 * [backup-simplify]: Simplify (- 0) into 0 178.646 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.646 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 178.646 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 178.646 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 178.646 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.646 * [backup-simplify]: Simplify lambda1 into lambda1 178.646 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 178.646 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 178.646 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.646 * [backup-simplify]: Simplify 0 into 0 178.646 * [backup-simplify]: Simplify 1 into 1 178.649 * [backup-simplify]: Simplify (/ 1 1) into 1 178.650 * [backup-simplify]: Simplify (- 1) into -1 178.650 * [backup-simplify]: Simplify (+ 0 -1) into -1 178.650 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.651 * [backup-simplify]: Simplify (* -1 -1) into 1 178.651 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.651 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.651 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 178.651 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 178.652 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 178.652 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 178.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 178.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 178.652 * [taylor]: Taking taylor expansion of 1/3 in lambda1 178.652 * [backup-simplify]: Simplify 1/3 into 1/3 178.652 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 178.652 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 178.652 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.652 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.652 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.652 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.652 * [backup-simplify]: Simplify 1/2 into 1/2 178.652 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.652 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.652 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.652 * [backup-simplify]: Simplify phi1 into phi1 178.652 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.652 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.652 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.652 * [backup-simplify]: Simplify phi2 into phi2 178.652 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.652 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.652 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.652 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.652 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.652 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.653 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.653 * [backup-simplify]: Simplify (- 0) into 0 178.653 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.653 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 178.653 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 178.653 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 178.653 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.653 * [backup-simplify]: Simplify 0 into 0 178.653 * [backup-simplify]: Simplify 1 into 1 178.653 * [backup-simplify]: Simplify (/ 1 1) into 1 178.653 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 178.653 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.653 * [backup-simplify]: Simplify lambda2 into lambda2 178.653 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.654 * [backup-simplify]: Simplify (+ 1 0) into 1 178.654 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.654 * [backup-simplify]: Simplify (* 1 1) into 1 178.654 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.654 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.655 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.655 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.655 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.655 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 178.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 178.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 178.655 * [taylor]: Taking taylor expansion of 1/3 in lambda1 178.655 * [backup-simplify]: Simplify 1/3 into 1/3 178.655 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 178.655 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 178.655 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.655 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.655 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.655 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.655 * [backup-simplify]: Simplify 1/2 into 1/2 178.655 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.655 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.655 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.655 * [backup-simplify]: Simplify phi1 into phi1 178.655 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.655 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.655 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.655 * [backup-simplify]: Simplify phi2 into phi2 178.655 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.655 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.656 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.656 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.656 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.656 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.656 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.656 * [backup-simplify]: Simplify (- 0) into 0 178.656 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.656 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 178.657 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 178.657 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 178.657 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.657 * [backup-simplify]: Simplify 0 into 0 178.657 * [backup-simplify]: Simplify 1 into 1 178.657 * [backup-simplify]: Simplify (/ 1 1) into 1 178.657 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 178.657 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.657 * [backup-simplify]: Simplify lambda2 into lambda2 178.657 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.657 * [backup-simplify]: Simplify (+ 1 0) into 1 178.657 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.658 * [backup-simplify]: Simplify (* 1 1) into 1 178.658 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.658 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.659 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.659 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.659 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 178.659 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 178.659 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.659 * [backup-simplify]: Simplify 1/3 into 1/3 178.659 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 178.659 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 178.659 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.659 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.659 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.659 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.659 * [backup-simplify]: Simplify 1/2 into 1/2 178.659 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.659 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.659 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.660 * [backup-simplify]: Simplify phi1 into phi1 178.660 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.660 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.660 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.660 * [backup-simplify]: Simplify phi2 into phi2 178.660 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.660 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.660 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.660 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.660 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.660 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.660 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.660 * [backup-simplify]: Simplify (- 0) into 0 178.661 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.661 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.661 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.661 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 178.661 * [taylor]: Taking taylor expansion of 2 in lambda2 178.661 * [backup-simplify]: Simplify 2 into 2 178.661 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 178.661 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.661 * [backup-simplify]: Simplify lambda1 into lambda1 178.661 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.661 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.661 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.661 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.661 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.662 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 178.662 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 178.662 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.662 * [backup-simplify]: Simplify 1/3 into 1/3 178.662 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 178.662 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 178.662 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.662 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.662 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.662 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.662 * [backup-simplify]: Simplify 1/2 into 1/2 178.662 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.662 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.662 * [taylor]: Taking taylor expansion of phi1 in phi1 178.662 * [backup-simplify]: Simplify 0 into 0 178.662 * [backup-simplify]: Simplify 1 into 1 178.662 * [backup-simplify]: Simplify (/ 1 1) into 1 178.662 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.662 * [taylor]: Taking taylor expansion of phi2 in phi1 178.662 * [backup-simplify]: Simplify phi2 into phi2 178.662 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.663 * [backup-simplify]: Simplify (+ 1 0) into 1 178.663 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.663 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.663 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.663 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.663 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 178.663 * [taylor]: Taking taylor expansion of 2 in phi1 178.663 * [backup-simplify]: Simplify 2 into 2 178.663 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 178.663 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.664 * [backup-simplify]: Simplify lambda1 into lambda1 178.664 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.664 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.664 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.664 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.664 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.664 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 178.664 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 178.664 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.664 * [backup-simplify]: Simplify 1/3 into 1/3 178.664 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 178.664 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 178.664 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.664 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.664 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.664 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.664 * [backup-simplify]: Simplify 1/2 into 1/2 178.664 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.664 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.664 * [taylor]: Taking taylor expansion of phi1 in phi2 178.664 * [backup-simplify]: Simplify phi1 into phi1 178.665 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.665 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.665 * [taylor]: Taking taylor expansion of phi2 in phi2 178.665 * [backup-simplify]: Simplify 0 into 0 178.665 * [backup-simplify]: Simplify 1 into 1 178.665 * [backup-simplify]: Simplify (/ 1 1) into 1 178.665 * [backup-simplify]: Simplify (+ 0 1) into 1 178.666 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.666 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.666 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.666 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.666 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 178.666 * [taylor]: Taking taylor expansion of 2 in phi2 178.666 * [backup-simplify]: Simplify 2 into 2 178.666 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 178.666 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.666 * [backup-simplify]: Simplify lambda1 into lambda1 178.666 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.666 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.666 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.666 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.667 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.667 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.667 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 178.668 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 178.668 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 178.668 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 178.668 * [backup-simplify]: Simplify (+ 0) into 0 178.669 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.669 * [backup-simplify]: Simplify (+ 0 0) into 0 178.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.670 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.670 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.671 * [backup-simplify]: Simplify (- 0) into 0 178.671 * [backup-simplify]: Simplify (+ 0 0) into 0 178.671 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.672 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 178.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 178.672 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.673 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 178.673 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 178.673 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 178.673 * [taylor]: Taking taylor expansion of -2/3 in lambda2 178.673 * [backup-simplify]: Simplify -2/3 into -2/3 178.673 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 178.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 178.673 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 178.673 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.673 * [backup-simplify]: Simplify 1/3 into 1/3 178.673 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 178.673 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 178.673 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.673 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.673 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.673 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.673 * [backup-simplify]: Simplify 1/2 into 1/2 178.673 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.673 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.673 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.673 * [backup-simplify]: Simplify phi1 into phi1 178.673 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.673 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.673 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.673 * [backup-simplify]: Simplify phi2 into phi2 178.673 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.673 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.673 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.673 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.674 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.674 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.674 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.674 * [backup-simplify]: Simplify (- 0) into 0 178.674 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.674 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.674 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.674 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 178.674 * [taylor]: Taking taylor expansion of 2 in lambda2 178.674 * [backup-simplify]: Simplify 2 into 2 178.674 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 178.674 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.674 * [backup-simplify]: Simplify lambda1 into lambda1 178.674 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.675 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.675 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.675 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.675 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.675 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.675 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.675 * [backup-simplify]: Simplify 0 into 0 178.675 * [backup-simplify]: Simplify 1 into 1 178.675 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.676 * [backup-simplify]: Simplify (+ 0) into 0 178.676 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.676 * [backup-simplify]: Simplify (+ 0 0) into 0 178.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.677 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.678 * [backup-simplify]: Simplify (- 0) into 0 178.678 * [backup-simplify]: Simplify (+ 0 0) into 0 178.678 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.679 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.680 * [backup-simplify]: Simplify (- 0) into 0 178.680 * [backup-simplify]: Simplify (+ 0 0) into 0 178.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.681 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 178.682 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 178.682 * [taylor]: Taking taylor expansion of 0 in phi1 178.682 * [backup-simplify]: Simplify 0 into 0 178.682 * [taylor]: Taking taylor expansion of 0 in phi2 178.682 * [backup-simplify]: Simplify 0 into 0 178.682 * [backup-simplify]: Simplify 0 into 0 178.683 * [backup-simplify]: Simplify (+ 0) into 0 178.683 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.683 * [backup-simplify]: Simplify (+ 0 0) into 0 178.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.685 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.685 * [backup-simplify]: Simplify (- 0) into 0 178.685 * [backup-simplify]: Simplify (+ 0 0) into 0 178.685 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.687 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.687 * [backup-simplify]: Simplify (- 0) into 0 178.687 * [backup-simplify]: Simplify (+ 0 0) into 0 178.687 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.688 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.688 * [taylor]: Taking taylor expansion of 0 in phi1 178.688 * [backup-simplify]: Simplify 0 into 0 178.688 * [taylor]: Taking taylor expansion of 0 in phi2 178.688 * [backup-simplify]: Simplify 0 into 0 178.688 * [backup-simplify]: Simplify 0 into 0 178.688 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.690 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.690 * [backup-simplify]: Simplify (- 0) into 0 178.690 * [backup-simplify]: Simplify (+ 0 0) into 0 178.691 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.691 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.691 * [taylor]: Taking taylor expansion of 0 in phi2 178.691 * [backup-simplify]: Simplify 0 into 0 178.691 * [backup-simplify]: Simplify 0 into 0 178.691 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.693 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.693 * [backup-simplify]: Simplify (- 0) into 0 178.693 * [backup-simplify]: Simplify (+ 0 0) into 0 178.694 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.694 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.694 * [backup-simplify]: Simplify 0 into 0 178.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 178.695 * [backup-simplify]: Simplify (- 0) into 0 178.695 * [backup-simplify]: Simplify (+ 0 0) into 0 178.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 178.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.698 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.699 * [backup-simplify]: Simplify (+ 0 0) into 0 178.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.700 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.701 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.701 * [backup-simplify]: Simplify (- 0) into 0 178.702 * [backup-simplify]: Simplify (+ 0 0) into 0 178.702 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.703 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 178.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 178.705 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.706 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 178.706 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 178.706 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 178.706 * [taylor]: Taking taylor expansion of -1/9 in lambda2 178.706 * [backup-simplify]: Simplify -1/9 into -1/9 178.706 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 178.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 178.706 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 178.707 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.707 * [backup-simplify]: Simplify 1/3 into 1/3 178.707 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 178.707 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 178.707 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.707 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.707 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.707 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.707 * [backup-simplify]: Simplify 1/2 into 1/2 178.707 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.707 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.707 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.707 * [backup-simplify]: Simplify phi1 into phi1 178.707 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.707 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.707 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.707 * [backup-simplify]: Simplify phi2 into phi2 178.707 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.707 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.707 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.707 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.708 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.708 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.708 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.708 * [backup-simplify]: Simplify (- 0) into 0 178.709 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.709 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.709 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.709 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 178.709 * [taylor]: Taking taylor expansion of 2 in lambda2 178.709 * [backup-simplify]: Simplify 2 into 2 178.709 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 178.709 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.709 * [backup-simplify]: Simplify lambda1 into lambda1 178.709 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.709 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.709 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.710 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.710 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.710 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.710 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 178.710 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.710 * [backup-simplify]: Simplify 0 into 0 178.710 * [backup-simplify]: Simplify 1 into 1 178.711 * [backup-simplify]: Simplify (* 1 1) into 1 178.711 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.712 * [backup-simplify]: Simplify (+ 0) into 0 178.712 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.713 * [backup-simplify]: Simplify (+ 0 0) into 0 178.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.715 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.715 * [backup-simplify]: Simplify (- 0) into 0 178.715 * [backup-simplify]: Simplify (+ 0 0) into 0 178.716 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.718 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.718 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.718 * [backup-simplify]: Simplify (- 0) into 0 178.719 * [backup-simplify]: Simplify (+ 0 0) into 0 178.719 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.720 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.721 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.722 * [backup-simplify]: Simplify (+ 0 0) into 0 178.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.724 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.724 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.725 * [backup-simplify]: Simplify (- 0) into 0 178.725 * [backup-simplify]: Simplify (+ 0 0) into 0 178.726 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.728 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 178.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 178.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 178.731 * [backup-simplify]: Simplify (- 0) into 0 178.731 * [backup-simplify]: Simplify (+ 0 0) into 0 178.732 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 178.734 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 178.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 178.736 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 178.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.740 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 178.740 * [taylor]: Taking taylor expansion of 0 in phi1 178.740 * [backup-simplify]: Simplify 0 into 0 178.740 * [taylor]: Taking taylor expansion of 0 in phi2 178.740 * [backup-simplify]: Simplify 0 into 0 178.740 * [backup-simplify]: Simplify 0 into 0 178.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.741 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.742 * [backup-simplify]: Simplify (+ 0 0) into 0 178.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.743 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.743 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.743 * [backup-simplify]: Simplify (- 0) into 0 178.744 * [backup-simplify]: Simplify (+ 0 0) into 0 178.744 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.745 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 178.746 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 178.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 178.747 * [backup-simplify]: Simplify (- 0) into 0 178.747 * [backup-simplify]: Simplify (+ 0 0) into 0 178.748 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 178.749 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 178.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.751 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 178.751 * [taylor]: Taking taylor expansion of 0 in phi1 178.751 * [backup-simplify]: Simplify 0 into 0 178.751 * [taylor]: Taking taylor expansion of 0 in phi2 178.751 * [backup-simplify]: Simplify 0 into 0 178.751 * [backup-simplify]: Simplify 0 into 0 178.751 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 178.751 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 178.751 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 178.751 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2 178.751 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2 178.751 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2 178.751 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.751 * [backup-simplify]: Simplify 1/3 into 1/3 178.751 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2 178.751 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 178.751 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.751 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.751 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.751 * [taylor]: Taking taylor expansion of -1/2 in phi2 178.751 * [backup-simplify]: Simplify -1/2 into -1/2 178.751 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.752 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.752 * [taylor]: Taking taylor expansion of phi1 in phi2 178.752 * [backup-simplify]: Simplify phi1 into phi1 178.752 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.752 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.752 * [taylor]: Taking taylor expansion of phi2 in phi2 178.752 * [backup-simplify]: Simplify 0 into 0 178.752 * [backup-simplify]: Simplify 1 into 1 178.752 * [backup-simplify]: Simplify (/ 1 1) into 1 178.752 * [backup-simplify]: Simplify (+ 0 1) into 1 178.752 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.752 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.753 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 178.753 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 178.753 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 178.753 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.753 * [backup-simplify]: Simplify lambda2 into lambda2 178.753 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.753 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 178.753 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.753 * [backup-simplify]: Simplify lambda1 into lambda1 178.753 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 178.753 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 178.753 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 178.753 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.753 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 178.753 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 178.753 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 178.754 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 178.754 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 178.754 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1 178.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1 178.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1 178.754 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.754 * [backup-simplify]: Simplify 1/3 into 1/3 178.754 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1 178.754 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 178.754 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.754 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.754 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.754 * [taylor]: Taking taylor expansion of -1/2 in phi1 178.754 * [backup-simplify]: Simplify -1/2 into -1/2 178.754 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.754 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.754 * [taylor]: Taking taylor expansion of phi1 in phi1 178.754 * [backup-simplify]: Simplify 0 into 0 178.754 * [backup-simplify]: Simplify 1 into 1 178.754 * [backup-simplify]: Simplify (/ 1 1) into 1 178.754 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.754 * [taylor]: Taking taylor expansion of phi2 in phi1 178.754 * [backup-simplify]: Simplify phi2 into phi2 178.754 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.756 * [backup-simplify]: Simplify (+ 1 0) into 1 178.757 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.757 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.757 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 178.757 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 178.757 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 178.757 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.757 * [backup-simplify]: Simplify lambda2 into lambda2 178.757 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.757 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 178.757 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.757 * [backup-simplify]: Simplify lambda1 into lambda1 178.757 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 178.757 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 178.757 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 178.757 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.757 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 178.757 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 178.758 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 178.758 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 178.758 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 178.758 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2 178.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2 178.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2 178.758 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.758 * [backup-simplify]: Simplify 1/3 into 1/3 178.758 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2 178.758 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 178.758 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.758 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.758 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.758 * [taylor]: Taking taylor expansion of -1/2 in lambda2 178.758 * [backup-simplify]: Simplify -1/2 into -1/2 178.758 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.758 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.758 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.758 * [backup-simplify]: Simplify phi1 into phi1 178.758 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.758 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.758 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.758 * [backup-simplify]: Simplify phi2 into phi2 178.758 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.758 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.758 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.759 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.759 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.759 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.759 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.759 * [backup-simplify]: Simplify (- 0) into 0 178.759 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.759 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 178.759 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 178.759 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 178.759 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.759 * [backup-simplify]: Simplify 0 into 0 178.759 * [backup-simplify]: Simplify 1 into 1 178.759 * [backup-simplify]: Simplify (/ 1 1) into 1 178.760 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 178.760 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.760 * [backup-simplify]: Simplify lambda1 into lambda1 178.760 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 178.760 * [backup-simplify]: Simplify (+ 1 0) into 1 178.760 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.760 * [backup-simplify]: Simplify (* 1 1) into 1 178.760 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.760 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.761 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 178.761 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 178.761 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 178.761 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 178.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 178.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 178.761 * [taylor]: Taking taylor expansion of 1/3 in lambda1 178.761 * [backup-simplify]: Simplify 1/3 into 1/3 178.761 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 178.761 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 178.761 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.761 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.761 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.761 * [taylor]: Taking taylor expansion of -1/2 in lambda1 178.761 * [backup-simplify]: Simplify -1/2 into -1/2 178.761 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.761 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.761 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.761 * [backup-simplify]: Simplify phi1 into phi1 178.761 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.762 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.762 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.762 * [backup-simplify]: Simplify phi2 into phi2 178.762 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.762 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.762 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.762 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.762 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.762 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.762 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.762 * [backup-simplify]: Simplify (- 0) into 0 178.762 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.762 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 178.762 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 178.762 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 178.762 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.762 * [backup-simplify]: Simplify lambda2 into lambda2 178.762 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.762 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 178.763 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.763 * [backup-simplify]: Simplify 0 into 0 178.763 * [backup-simplify]: Simplify 1 into 1 178.763 * [backup-simplify]: Simplify (/ 1 1) into 1 178.763 * [backup-simplify]: Simplify (- 1) into -1 178.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 178.763 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.764 * [backup-simplify]: Simplify (* -1 -1) into 1 178.764 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.764 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.764 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.764 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.765 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.765 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 178.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 178.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 178.765 * [taylor]: Taking taylor expansion of 1/3 in lambda1 178.765 * [backup-simplify]: Simplify 1/3 into 1/3 178.765 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 178.765 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 178.765 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.765 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.765 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.765 * [taylor]: Taking taylor expansion of -1/2 in lambda1 178.765 * [backup-simplify]: Simplify -1/2 into -1/2 178.765 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.765 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.765 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.765 * [backup-simplify]: Simplify phi1 into phi1 178.765 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.765 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.765 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.765 * [backup-simplify]: Simplify phi2 into phi2 178.765 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.765 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.765 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.765 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.765 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.765 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.765 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.766 * [backup-simplify]: Simplify (- 0) into 0 178.766 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.766 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 178.766 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 178.766 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 178.766 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.766 * [backup-simplify]: Simplify lambda2 into lambda2 178.766 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.766 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 178.766 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.766 * [backup-simplify]: Simplify 0 into 0 178.766 * [backup-simplify]: Simplify 1 into 1 178.766 * [backup-simplify]: Simplify (/ 1 1) into 1 178.766 * [backup-simplify]: Simplify (- 1) into -1 178.767 * [backup-simplify]: Simplify (+ 0 -1) into -1 178.767 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.767 * [backup-simplify]: Simplify (* -1 -1) into 1 178.767 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.767 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.768 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.768 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.768 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 178.768 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 178.768 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.768 * [backup-simplify]: Simplify 1/3 into 1/3 178.768 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 178.768 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 178.768 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.768 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.768 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.768 * [taylor]: Taking taylor expansion of -1/2 in lambda2 178.768 * [backup-simplify]: Simplify -1/2 into -1/2 178.768 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.768 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.768 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.768 * [backup-simplify]: Simplify phi1 into phi1 178.768 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.768 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.768 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.768 * [backup-simplify]: Simplify phi2 into phi2 178.769 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.769 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.769 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.769 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.769 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.769 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.769 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.769 * [backup-simplify]: Simplify (- 0) into 0 178.769 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.769 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.770 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.770 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 178.770 * [taylor]: Taking taylor expansion of 2 in lambda2 178.770 * [backup-simplify]: Simplify 2 into 2 178.770 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 178.770 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.770 * [backup-simplify]: Simplify lambda1 into lambda1 178.770 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.770 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.770 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.770 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.770 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.770 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 178.770 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 178.770 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.770 * [backup-simplify]: Simplify 1/3 into 1/3 178.770 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 178.770 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 178.770 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.770 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.770 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.770 * [taylor]: Taking taylor expansion of -1/2 in phi1 178.770 * [backup-simplify]: Simplify -1/2 into -1/2 178.770 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.770 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.770 * [taylor]: Taking taylor expansion of phi1 in phi1 178.770 * [backup-simplify]: Simplify 0 into 0 178.771 * [backup-simplify]: Simplify 1 into 1 178.771 * [backup-simplify]: Simplify (/ 1 1) into 1 178.771 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.771 * [taylor]: Taking taylor expansion of phi2 in phi1 178.771 * [backup-simplify]: Simplify phi2 into phi2 178.771 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.771 * [backup-simplify]: Simplify (+ 1 0) into 1 178.771 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.771 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.772 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.772 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.772 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 178.772 * [taylor]: Taking taylor expansion of 2 in phi1 178.772 * [backup-simplify]: Simplify 2 into 2 178.772 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 178.772 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.772 * [backup-simplify]: Simplify lambda1 into lambda1 178.772 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.772 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.772 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.772 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.772 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.773 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 178.773 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 178.773 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.773 * [backup-simplify]: Simplify 1/3 into 1/3 178.773 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 178.773 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 178.773 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.773 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.773 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.773 * [taylor]: Taking taylor expansion of -1/2 in phi2 178.773 * [backup-simplify]: Simplify -1/2 into -1/2 178.773 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.773 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.773 * [taylor]: Taking taylor expansion of phi1 in phi2 178.773 * [backup-simplify]: Simplify phi1 into phi1 178.773 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.773 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.773 * [taylor]: Taking taylor expansion of phi2 in phi2 178.773 * [backup-simplify]: Simplify 0 into 0 178.773 * [backup-simplify]: Simplify 1 into 1 178.774 * [backup-simplify]: Simplify (/ 1 1) into 1 178.774 * [backup-simplify]: Simplify (+ 0 1) into 1 178.775 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 178.775 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.775 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.775 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.775 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 178.775 * [taylor]: Taking taylor expansion of 2 in phi2 178.775 * [backup-simplify]: Simplify 2 into 2 178.775 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 178.775 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.775 * [backup-simplify]: Simplify lambda1 into lambda1 178.775 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.775 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.776 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.776 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.776 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.776 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.777 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 178.778 * [backup-simplify]: Simplify (- 0) into 0 178.778 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 178.778 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 178.779 * [backup-simplify]: Simplify (+ 0) into 0 178.779 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.780 * [backup-simplify]: Simplify (+ 0 0) into 0 178.781 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.782 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.782 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.782 * [backup-simplify]: Simplify (- 0) into 0 178.783 * [backup-simplify]: Simplify (+ 0 0) into 0 178.783 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.784 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 178.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 178.785 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.785 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 178.785 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 178.785 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 178.785 * [taylor]: Taking taylor expansion of -2/3 in lambda2 178.785 * [backup-simplify]: Simplify -2/3 into -2/3 178.785 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 178.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 178.785 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 178.785 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.785 * [backup-simplify]: Simplify 1/3 into 1/3 178.785 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 178.785 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 178.785 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.785 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.785 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.785 * [taylor]: Taking taylor expansion of -1/2 in lambda2 178.785 * [backup-simplify]: Simplify -1/2 into -1/2 178.785 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.785 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.785 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.785 * [backup-simplify]: Simplify phi1 into phi1 178.786 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.786 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.786 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.786 * [backup-simplify]: Simplify phi2 into phi2 178.786 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.786 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.786 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.786 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.786 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.786 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.786 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.786 * [backup-simplify]: Simplify (- 0) into 0 178.786 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.787 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.787 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.787 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 178.787 * [taylor]: Taking taylor expansion of 2 in lambda2 178.787 * [backup-simplify]: Simplify 2 into 2 178.787 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 178.787 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.787 * [backup-simplify]: Simplify lambda1 into lambda1 178.787 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.787 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.787 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.787 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.787 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.787 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.787 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.787 * [backup-simplify]: Simplify 0 into 0 178.787 * [backup-simplify]: Simplify 1 into 1 178.787 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.788 * [backup-simplify]: Simplify (+ 0) into 0 178.788 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.789 * [backup-simplify]: Simplify (+ 0 0) into 0 178.789 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.790 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.790 * [backup-simplify]: Simplify (- 0) into 0 178.790 * [backup-simplify]: Simplify (+ 0 0) into 0 178.790 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.792 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.792 * [backup-simplify]: Simplify (- 0) into 0 178.792 * [backup-simplify]: Simplify (+ 0 0) into 0 178.793 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.793 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 178.794 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 178.794 * [taylor]: Taking taylor expansion of 0 in phi1 178.794 * [backup-simplify]: Simplify 0 into 0 178.794 * [taylor]: Taking taylor expansion of 0 in phi2 178.794 * [backup-simplify]: Simplify 0 into 0 178.794 * [backup-simplify]: Simplify 0 into 0 178.795 * [backup-simplify]: Simplify (+ 0) into 0 178.795 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.795 * [backup-simplify]: Simplify (+ 0 0) into 0 178.796 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.796 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.797 * [backup-simplify]: Simplify (- 0) into 0 178.797 * [backup-simplify]: Simplify (+ 0 0) into 0 178.797 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.798 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.799 * [backup-simplify]: Simplify (- 0) into 0 178.799 * [backup-simplify]: Simplify (+ 0 0) into 0 178.799 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.800 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.800 * [taylor]: Taking taylor expansion of 0 in phi1 178.800 * [backup-simplify]: Simplify 0 into 0 178.800 * [taylor]: Taking taylor expansion of 0 in phi2 178.800 * [backup-simplify]: Simplify 0 into 0 178.800 * [backup-simplify]: Simplify 0 into 0 178.800 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.802 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.802 * [backup-simplify]: Simplify (- 0) into 0 178.802 * [backup-simplify]: Simplify (+ 0 0) into 0 178.802 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.803 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.803 * [taylor]: Taking taylor expansion of 0 in phi2 178.803 * [backup-simplify]: Simplify 0 into 0 178.803 * [backup-simplify]: Simplify 0 into 0 178.803 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.805 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.805 * [backup-simplify]: Simplify (- 0) into 0 178.805 * [backup-simplify]: Simplify (+ 0 0) into 0 178.805 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.806 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.806 * [backup-simplify]: Simplify 0 into 0 178.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 178.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.807 * [backup-simplify]: Simplify (- 0) into 0 178.807 * [backup-simplify]: Simplify (+ 0 0) into 0 178.808 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 178.808 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.809 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.809 * [backup-simplify]: Simplify (+ 0 0) into 0 178.810 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.810 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.811 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.811 * [backup-simplify]: Simplify (- 0) into 0 178.811 * [backup-simplify]: Simplify (+ 0 0) into 0 178.812 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.812 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 178.813 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 178.813 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.814 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 178.814 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 178.814 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 178.814 * [taylor]: Taking taylor expansion of -1/9 in lambda2 178.814 * [backup-simplify]: Simplify -1/9 into -1/9 178.814 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 178.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 178.814 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 178.814 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.814 * [backup-simplify]: Simplify 1/3 into 1/3 178.814 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 178.814 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 178.814 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.814 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.814 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.814 * [taylor]: Taking taylor expansion of -1/2 in lambda2 178.814 * [backup-simplify]: Simplify -1/2 into -1/2 178.814 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.814 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.814 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.814 * [backup-simplify]: Simplify phi1 into phi1 178.814 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.814 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.814 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.814 * [backup-simplify]: Simplify phi2 into phi2 178.815 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.815 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.815 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.815 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.815 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.815 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.815 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.815 * [backup-simplify]: Simplify (- 0) into 0 178.815 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.816 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.816 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.816 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 178.816 * [taylor]: Taking taylor expansion of 2 in lambda2 178.816 * [backup-simplify]: Simplify 2 into 2 178.816 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 178.816 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.816 * [backup-simplify]: Simplify lambda1 into lambda1 178.816 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.816 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.816 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.816 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.816 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.817 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.817 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 178.817 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.817 * [backup-simplify]: Simplify 0 into 0 178.817 * [backup-simplify]: Simplify 1 into 1 178.817 * [backup-simplify]: Simplify (* 1 1) into 1 178.818 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.818 * [backup-simplify]: Simplify (+ 0) into 0 178.819 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.819 * [backup-simplify]: Simplify (+ 0 0) into 0 178.820 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.821 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.821 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.822 * [backup-simplify]: Simplify (- 0) into 0 178.822 * [backup-simplify]: Simplify (+ 0 0) into 0 178.823 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.825 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.825 * [backup-simplify]: Simplify (- 0) into 0 178.826 * [backup-simplify]: Simplify (+ 0 0) into 0 178.826 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.827 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.828 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.829 * [backup-simplify]: Simplify (+ 0 0) into 0 178.830 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.831 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.831 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.832 * [backup-simplify]: Simplify (- 0) into 0 178.833 * [backup-simplify]: Simplify (+ 0 0) into 0 178.834 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.836 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 178.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 178.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 178.839 * [backup-simplify]: Simplify (- 0) into 0 178.840 * [backup-simplify]: Simplify (+ 0 0) into 0 178.841 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 178.842 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 178.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 178.844 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 178.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.849 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 178.849 * [taylor]: Taking taylor expansion of 0 in phi1 178.849 * [backup-simplify]: Simplify 0 into 0 178.849 * [taylor]: Taking taylor expansion of 0 in phi2 178.849 * [backup-simplify]: Simplify 0 into 0 178.849 * [backup-simplify]: Simplify 0 into 0 178.850 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.851 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 178.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 178.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 178.851 * [backup-simplify]: Simplify (+ 0 0) into 0 178.852 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 178.853 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.854 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 178.854 * [backup-simplify]: Simplify (- 0) into 0 178.854 * [backup-simplify]: Simplify (+ 0 0) into 0 178.855 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 178.857 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 178.859 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 178.859 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 178.860 * [backup-simplify]: Simplify (- 0) into 0 178.860 * [backup-simplify]: Simplify (+ 0 0) into 0 178.861 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 178.863 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 178.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 178.866 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 178.866 * [taylor]: Taking taylor expansion of 0 in phi1 178.866 * [backup-simplify]: Simplify 0 into 0 178.866 * [taylor]: Taking taylor expansion of 0 in phi2 178.866 * [backup-simplify]: Simplify 0 into 0 178.866 * [backup-simplify]: Simplify 0 into 0 178.866 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 178.866 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 178.867 * [backup-simplify]: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 178.867 * [approximate]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 178.867 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2 178.867 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2 178.867 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2 178.867 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.867 * [backup-simplify]: Simplify 1/3 into 1/3 178.867 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2 178.867 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 178.867 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 178.867 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 178.867 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.867 * [backup-simplify]: Simplify lambda1 into lambda1 178.867 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.867 * [backup-simplify]: Simplify lambda2 into lambda2 178.867 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 178.867 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 178.867 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 178.867 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 178.867 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 178.867 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.867 * [backup-simplify]: Simplify 1/2 into 1/2 178.867 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 178.867 * [taylor]: Taking taylor expansion of phi1 in phi2 178.867 * [backup-simplify]: Simplify phi1 into phi1 178.867 * [taylor]: Taking taylor expansion of phi2 in phi2 178.867 * [backup-simplify]: Simplify 0 into 0 178.867 * [backup-simplify]: Simplify 1 into 1 178.868 * [backup-simplify]: Simplify (+ phi1 0) into phi1 178.868 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 178.868 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 178.868 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 178.868 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 178.868 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 178.870 * [backup-simplify]: Simplify (- 0) into 0 178.870 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 178.870 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 178.870 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 178.870 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 178.870 * [backup-simplify]: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) 178.870 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) 178.870 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3) 178.871 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1 178.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 178.871 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 178.871 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.871 * [backup-simplify]: Simplify 1/3 into 1/3 178.871 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 178.871 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 178.871 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 178.871 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 178.871 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.871 * [backup-simplify]: Simplify lambda1 into lambda1 178.871 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.871 * [backup-simplify]: Simplify lambda2 into lambda2 178.871 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 178.871 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 178.871 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 178.871 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 178.871 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 178.871 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.871 * [backup-simplify]: Simplify 1/2 into 1/2 178.871 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 178.871 * [taylor]: Taking taylor expansion of phi1 in phi1 178.871 * [backup-simplify]: Simplify 0 into 0 178.871 * [backup-simplify]: Simplify 1 into 1 178.871 * [taylor]: Taking taylor expansion of phi2 in phi1 178.871 * [backup-simplify]: Simplify phi2 into phi2 178.871 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 178.871 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 178.871 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 178.871 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 178.871 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 178.871 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 178.872 * [backup-simplify]: Simplify (- 0) into 0 178.872 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 178.872 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 178.872 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 178.872 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 178.872 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 178.872 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) 178.872 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) 178.872 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 178.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 178.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 178.872 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.872 * [backup-simplify]: Simplify 1/3 into 1/3 178.872 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 178.872 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 178.872 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 178.872 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 178.872 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.873 * [backup-simplify]: Simplify lambda1 into lambda1 178.873 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.873 * [backup-simplify]: Simplify 0 into 0 178.873 * [backup-simplify]: Simplify 1 into 1 178.873 * [backup-simplify]: Simplify (- 0) into 0 178.873 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 178.873 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.873 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.873 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.873 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.873 * [backup-simplify]: Simplify 1/2 into 1/2 178.873 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.873 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.873 * [backup-simplify]: Simplify phi1 into phi1 178.873 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.873 * [backup-simplify]: Simplify phi2 into phi2 178.873 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.873 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.873 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.873 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.873 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.873 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.874 * [backup-simplify]: Simplify (- 0) into 0 178.874 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.874 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 178.874 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.874 * [backup-simplify]: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 178.874 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 178.874 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) 178.875 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 178.875 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 178.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 178.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 178.875 * [taylor]: Taking taylor expansion of 1/3 in lambda1 178.875 * [backup-simplify]: Simplify 1/3 into 1/3 178.875 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 178.875 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 178.875 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 178.875 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 178.875 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.875 * [backup-simplify]: Simplify 0 into 0 178.875 * [backup-simplify]: Simplify 1 into 1 178.875 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.875 * [backup-simplify]: Simplify lambda2 into lambda2 178.875 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 178.875 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 178.875 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 178.875 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 178.875 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 178.875 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.875 * [backup-simplify]: Simplify 1/2 into 1/2 178.875 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 178.875 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.875 * [backup-simplify]: Simplify phi1 into phi1 178.875 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.875 * [backup-simplify]: Simplify phi2 into phi2 178.875 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.875 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.875 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.875 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.875 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.875 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.876 * [backup-simplify]: Simplify (- 0) into 0 178.876 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.876 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 178.876 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.876 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.876 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 178.876 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 178.876 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 178.876 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 178.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 178.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 178.876 * [taylor]: Taking taylor expansion of 1/3 in lambda1 178.876 * [backup-simplify]: Simplify 1/3 into 1/3 178.876 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 178.876 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 178.876 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 178.876 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 178.876 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.876 * [backup-simplify]: Simplify 0 into 0 178.876 * [backup-simplify]: Simplify 1 into 1 178.876 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.876 * [backup-simplify]: Simplify lambda2 into lambda2 178.876 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 178.877 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 178.877 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 178.877 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 178.877 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 178.877 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.877 * [backup-simplify]: Simplify 1/2 into 1/2 178.877 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 178.877 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.877 * [backup-simplify]: Simplify phi1 into phi1 178.877 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.877 * [backup-simplify]: Simplify phi2 into phi2 178.877 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.877 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.877 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.877 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.877 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.877 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.877 * [backup-simplify]: Simplify (- 0) into 0 178.877 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.877 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 178.877 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.878 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.878 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 178.878 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 178.878 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 178.878 * [taylor]: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 178.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 178.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 178.878 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.878 * [backup-simplify]: Simplify 1/3 into 1/3 178.878 * [taylor]: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 178.878 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 178.878 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 178.878 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.878 * [backup-simplify]: Simplify 0 into 0 178.878 * [backup-simplify]: Simplify 1 into 1 178.878 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.878 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.878 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.878 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.878 * [backup-simplify]: Simplify 1/2 into 1/2 178.878 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.878 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.878 * [backup-simplify]: Simplify phi1 into phi1 178.878 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.878 * [backup-simplify]: Simplify phi2 into phi2 178.878 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.878 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.878 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.878 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.879 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.879 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.879 * [backup-simplify]: Simplify (- 0) into 0 178.879 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.879 * [backup-simplify]: Simplify (* 1 1) into 1 178.879 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.879 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.879 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.880 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 178.880 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) 178.880 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) 178.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1 178.880 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1 178.880 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.880 * [backup-simplify]: Simplify 1/3 into 1/3 178.880 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1 178.880 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 178.880 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 178.880 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 178.880 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 178.880 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.880 * [backup-simplify]: Simplify 1/2 into 1/2 178.880 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 178.880 * [taylor]: Taking taylor expansion of phi1 in phi1 178.880 * [backup-simplify]: Simplify 0 into 0 178.880 * [backup-simplify]: Simplify 1 into 1 178.880 * [taylor]: Taking taylor expansion of phi2 in phi1 178.880 * [backup-simplify]: Simplify phi2 into phi2 178.880 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 178.880 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 178.880 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 178.880 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 178.881 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 178.881 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 178.881 * [backup-simplify]: Simplify (- 0) into 0 178.881 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 178.881 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 178.881 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 178.881 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi1 178.881 * [taylor]: Taking taylor expansion of 2 in phi1 178.881 * [backup-simplify]: Simplify 2 into 2 178.881 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 178.881 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.881 * [backup-simplify]: Simplify lambda2 into lambda2 178.881 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.881 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 178.881 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) 178.881 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) 178.881 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) 178.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 178.882 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 178.882 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.882 * [backup-simplify]: Simplify 1/3 into 1/3 178.882 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 178.882 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 178.882 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 178.882 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.882 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.882 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.882 * [backup-simplify]: Simplify 1/2 into 1/2 178.882 * [taylor]: Taking taylor expansion of phi2 in phi2 178.882 * [backup-simplify]: Simplify 0 into 0 178.882 * [backup-simplify]: Simplify 1 into 1 178.882 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.882 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.883 * [backup-simplify]: Simplify (* 1 1) into 1 178.883 * [backup-simplify]: Simplify (log 1) into 0 178.883 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 178.883 * [taylor]: Taking taylor expansion of 2 in phi2 178.883 * [backup-simplify]: Simplify 2 into 2 178.883 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 178.883 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.883 * [backup-simplify]: Simplify lambda2 into lambda2 178.883 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.883 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 178.883 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 178.883 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 178.883 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 178.883 * [backup-simplify]: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) 178.884 * [backup-simplify]: Simplify (+ 0) into 0 178.884 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 178.884 * [backup-simplify]: Simplify (+ 0 0) into 0 178.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 178.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.885 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 178.886 * [backup-simplify]: Simplify (- 0) into 0 178.886 * [backup-simplify]: Simplify (+ 0 0) into 0 178.886 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 178.886 * [backup-simplify]: Simplify (- 0) into 0 178.886 * [backup-simplify]: Simplify (+ 1 0) into 1 178.886 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 178.887 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 178.887 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2) 178.887 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2))) 178.887 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) 178.887 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 178.887 * [taylor]: Taking taylor expansion of -2/3 in lambda2 178.887 * [backup-simplify]: Simplify -2/3 into -2/3 178.887 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 178.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 178.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 178.888 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.888 * [backup-simplify]: Simplify 1/3 into 1/3 178.888 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 178.888 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 178.888 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.888 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.888 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.888 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.888 * [backup-simplify]: Simplify 1/2 into 1/2 178.888 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.888 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.888 * [backup-simplify]: Simplify phi1 into phi1 178.888 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.888 * [backup-simplify]: Simplify phi2 into phi2 178.888 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.888 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.888 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.888 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.888 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.888 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.888 * [backup-simplify]: Simplify (- 0) into 0 178.888 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.888 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.888 * [backup-simplify]: Simplify 0 into 0 178.888 * [backup-simplify]: Simplify 1 into 1 178.888 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.889 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.889 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.889 * [backup-simplify]: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) 178.889 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) 178.889 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) 178.889 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) 178.889 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 178.889 * [taylor]: Taking taylor expansion of -2/3 in phi1 178.889 * [backup-simplify]: Simplify -2/3 into -2/3 178.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 178.889 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 178.889 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.889 * [backup-simplify]: Simplify 1/3 into 1/3 178.890 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 178.890 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 178.890 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 178.890 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 178.890 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 178.890 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.890 * [backup-simplify]: Simplify 1/2 into 1/2 178.890 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 178.890 * [taylor]: Taking taylor expansion of phi1 in phi1 178.890 * [backup-simplify]: Simplify 0 into 0 178.890 * [backup-simplify]: Simplify 1 into 1 178.890 * [taylor]: Taking taylor expansion of phi2 in phi1 178.890 * [backup-simplify]: Simplify phi2 into phi2 178.890 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 178.890 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 178.890 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 178.890 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 178.890 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 178.890 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 178.890 * [backup-simplify]: Simplify (- 0) into 0 178.890 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 178.890 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 178.890 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 178.890 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 178.890 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.890 * [backup-simplify]: Simplify lambda2 into lambda2 178.890 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.890 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 178.891 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) 178.891 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) 178.891 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) 178.891 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) 178.891 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 178.891 * [taylor]: Taking taylor expansion of -2/3 in phi2 178.891 * [backup-simplify]: Simplify -2/3 into -2/3 178.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 178.891 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 178.891 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.891 * [backup-simplify]: Simplify 1/3 into 1/3 178.891 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 178.891 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 178.891 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 178.891 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.891 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.891 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.891 * [backup-simplify]: Simplify 1/2 into 1/2 178.891 * [taylor]: Taking taylor expansion of phi2 in phi2 178.891 * [backup-simplify]: Simplify 0 into 0 178.891 * [backup-simplify]: Simplify 1 into 1 178.892 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.892 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.892 * [backup-simplify]: Simplify (* 1 1) into 1 178.893 * [backup-simplify]: Simplify (log 1) into 0 178.893 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 178.893 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.893 * [backup-simplify]: Simplify lambda2 into lambda2 178.893 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.893 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 178.893 * [backup-simplify]: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) 178.893 * [backup-simplify]: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) 178.893 * [backup-simplify]: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) 178.893 * [backup-simplify]: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 178.893 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 178.893 * [backup-simplify]: Simplify (+ 0) into 0 178.894 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 178.894 * [backup-simplify]: Simplify (+ 0 0) into 0 178.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 178.895 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.895 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 178.895 * [backup-simplify]: Simplify (- 0) into 0 178.895 * [backup-simplify]: Simplify (+ 0 0) into 0 178.896 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 178.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 178.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 178.897 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 178.897 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0 178.898 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.898 * [taylor]: Taking taylor expansion of 0 in phi1 178.898 * [backup-simplify]: Simplify 0 into 0 178.898 * [taylor]: Taking taylor expansion of 0 in phi2 178.898 * [backup-simplify]: Simplify 0 into 0 178.898 * [backup-simplify]: Simplify 0 into 0 178.898 * [backup-simplify]: Simplify (+ 0) into 0 178.899 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 178.899 * [backup-simplify]: Simplify (+ 1 0) into 1 178.899 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 178.900 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 178.900 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 178.900 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 178.900 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 178.900 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 178.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 178.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 178.902 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 178.902 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 178.902 * [backup-simplify]: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 178.902 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) 178.902 * [taylor]: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2 178.902 * [taylor]: Taking taylor expansion of -1/3 in phi2 178.902 * [backup-simplify]: Simplify -1/3 into -1/3 178.902 * [taylor]: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2 178.902 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2 178.902 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 178.902 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.902 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.902 * [backup-simplify]: Simplify 1/2 into 1/2 178.902 * [taylor]: Taking taylor expansion of phi2 in phi2 178.902 * [backup-simplify]: Simplify 0 into 0 178.902 * [backup-simplify]: Simplify 1 into 1 178.903 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.903 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 178.903 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 178.903 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.903 * [backup-simplify]: Simplify 1/3 into 1/3 178.903 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 178.903 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 178.903 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 178.903 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.903 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.903 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.903 * [backup-simplify]: Simplify 1/2 into 1/2 178.903 * [taylor]: Taking taylor expansion of phi2 in phi2 178.903 * [backup-simplify]: Simplify 0 into 0 178.903 * [backup-simplify]: Simplify 1 into 1 178.904 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.904 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.905 * [backup-simplify]: Simplify (* 1 1) into 1 178.905 * [backup-simplify]: Simplify (log 1) into 0 178.905 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 178.905 * [taylor]: Taking taylor expansion of 2 in phi2 178.905 * [backup-simplify]: Simplify 2 into 2 178.905 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 178.905 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.905 * [backup-simplify]: Simplify lambda2 into lambda2 178.905 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.905 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 178.905 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 178.905 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 178.906 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 178.906 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.906 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.906 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.906 * [backup-simplify]: Simplify 1/2 into 1/2 178.906 * [taylor]: Taking taylor expansion of phi2 in phi2 178.906 * [backup-simplify]: Simplify 0 into 0 178.906 * [backup-simplify]: Simplify 1 into 1 178.906 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.907 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.907 * [backup-simplify]: Simplify (* 0 (pow lambda2 2/3)) into 0 178.907 * [backup-simplify]: Simplify (+ 0) into 0 178.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 178.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 178.910 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 178.911 * [backup-simplify]: Simplify (+ 0 0) into 0 178.911 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 178.912 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 178.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 178.913 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) 178.914 * [backup-simplify]: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) 178.914 * [backup-simplify]: Simplify (+ 0) into 0 178.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 178.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 178.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 178.917 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 178.918 * [backup-simplify]: Simplify (+ 0 0) into 0 178.918 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 178.919 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 178.919 * [backup-simplify]: Simplify 0 into 0 178.920 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 178.921 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 178.921 * [backup-simplify]: Simplify (+ 0 0) into 0 178.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 178.923 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 178.923 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 178.924 * [backup-simplify]: Simplify (- 0) into 0 178.924 * [backup-simplify]: Simplify (+ 0 0) into 0 178.925 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 178.925 * [backup-simplify]: Simplify (- 0) into 0 178.925 * [backup-simplify]: Simplify (+ 0 0) into 0 178.926 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 178.926 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) 178.928 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 178.928 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) 178.928 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 178.928 * [taylor]: Taking taylor expansion of -1/9 in lambda2 178.928 * [backup-simplify]: Simplify -1/9 into -1/9 178.928 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 178.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 178.929 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 178.929 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.929 * [backup-simplify]: Simplify 1/3 into 1/3 178.929 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 178.929 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 178.929 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 178.929 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 178.929 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 178.929 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.929 * [backup-simplify]: Simplify 1/2 into 1/2 178.929 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 178.929 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.929 * [backup-simplify]: Simplify phi1 into phi1 178.929 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.929 * [backup-simplify]: Simplify phi2 into phi2 178.929 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 178.929 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 178.929 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 178.929 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 178.929 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 178.929 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 178.930 * [backup-simplify]: Simplify (- 0) into 0 178.930 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 178.930 * [taylor]: Taking taylor expansion of (pow lambda2 4) in lambda2 178.930 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.930 * [backup-simplify]: Simplify 0 into 0 178.930 * [backup-simplify]: Simplify 1 into 1 178.930 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.931 * [backup-simplify]: Simplify (* 1 1) into 1 178.931 * [backup-simplify]: Simplify (* 1 1) into 1 178.931 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 178.931 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 178.932 * [backup-simplify]: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) 178.932 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) 178.932 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) 178.933 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) 178.933 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 178.933 * [taylor]: Taking taylor expansion of -1/9 in phi1 178.933 * [backup-simplify]: Simplify -1/9 into -1/9 178.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 178.933 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 178.933 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.933 * [backup-simplify]: Simplify 1/3 into 1/3 178.933 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 178.933 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 178.933 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 178.933 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 178.933 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 178.933 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.933 * [backup-simplify]: Simplify 1/2 into 1/2 178.933 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 178.933 * [taylor]: Taking taylor expansion of phi1 in phi1 178.933 * [backup-simplify]: Simplify 0 into 0 178.933 * [backup-simplify]: Simplify 1 into 1 178.933 * [taylor]: Taking taylor expansion of phi2 in phi1 178.933 * [backup-simplify]: Simplify phi2 into phi2 178.933 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 178.933 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 178.933 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 178.933 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 178.934 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 178.934 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 178.934 * [backup-simplify]: Simplify (- 0) into 0 178.934 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 178.934 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 178.934 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 178.934 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi1 178.935 * [taylor]: Taking taylor expansion of 4 in phi1 178.935 * [backup-simplify]: Simplify 4 into 4 178.935 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 178.935 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.935 * [backup-simplify]: Simplify lambda2 into lambda2 178.935 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.935 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 178.935 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 178.935 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) 178.935 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) 178.935 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) 178.936 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) 178.936 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 178.936 * [taylor]: Taking taylor expansion of -1/9 in phi2 178.936 * [backup-simplify]: Simplify -1/9 into -1/9 178.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 178.936 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 178.936 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.936 * [backup-simplify]: Simplify 1/3 into 1/3 178.936 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 178.936 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 178.936 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 178.936 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 178.936 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 178.936 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.936 * [backup-simplify]: Simplify 1/2 into 1/2 178.936 * [taylor]: Taking taylor expansion of phi2 in phi2 178.936 * [backup-simplify]: Simplify 0 into 0 178.936 * [backup-simplify]: Simplify 1 into 1 178.937 * [backup-simplify]: Simplify (* 1/2 0) into 0 178.937 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 178.938 * [backup-simplify]: Simplify (* 1 1) into 1 178.938 * [backup-simplify]: Simplify (log 1) into 0 178.938 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi2 178.938 * [taylor]: Taking taylor expansion of 4 in phi2 178.938 * [backup-simplify]: Simplify 4 into 4 178.938 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 178.938 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.938 * [backup-simplify]: Simplify lambda2 into lambda2 178.939 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 178.939 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 178.939 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 178.939 * [backup-simplify]: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) 178.939 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) 178.939 * [backup-simplify]: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) 178.939 * [backup-simplify]: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 178.939 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 178.940 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2))))) 178.940 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 178.940 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 178.940 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2 178.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2 178.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2 178.941 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.941 * [backup-simplify]: Simplify 1/3 into 1/3 178.941 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2 178.941 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 178.941 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.941 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.941 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.941 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.941 * [backup-simplify]: Simplify 1/2 into 1/2 178.941 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.941 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.941 * [taylor]: Taking taylor expansion of phi1 in phi2 178.941 * [backup-simplify]: Simplify phi1 into phi1 178.941 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.941 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.941 * [taylor]: Taking taylor expansion of phi2 in phi2 178.941 * [backup-simplify]: Simplify 0 into 0 178.941 * [backup-simplify]: Simplify 1 into 1 178.941 * [backup-simplify]: Simplify (/ 1 1) into 1 178.942 * [backup-simplify]: Simplify (+ 0 1) into 1 178.942 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.942 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.942 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 178.942 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 178.942 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 178.942 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.942 * [backup-simplify]: Simplify lambda1 into lambda1 178.942 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 178.942 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 178.942 * [taylor]: Taking taylor expansion of lambda2 in phi2 178.942 * [backup-simplify]: Simplify lambda2 into lambda2 178.942 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.942 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 178.942 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 178.942 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.943 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 178.943 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 178.943 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 178.943 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 178.943 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 178.943 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1 178.943 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1 178.943 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1 178.943 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.943 * [backup-simplify]: Simplify 1/3 into 1/3 178.943 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1 178.943 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 178.943 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.943 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.943 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.944 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.944 * [backup-simplify]: Simplify 1/2 into 1/2 178.944 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.944 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.944 * [taylor]: Taking taylor expansion of phi1 in phi1 178.944 * [backup-simplify]: Simplify 0 into 0 178.944 * [backup-simplify]: Simplify 1 into 1 178.944 * [backup-simplify]: Simplify (/ 1 1) into 1 178.944 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.944 * [taylor]: Taking taylor expansion of phi2 in phi1 178.944 * [backup-simplify]: Simplify phi2 into phi2 178.944 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.944 * [backup-simplify]: Simplify (+ 1 0) into 1 178.945 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.945 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.945 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 178.945 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 178.945 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 178.945 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.945 * [backup-simplify]: Simplify lambda1 into lambda1 178.945 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 178.945 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 178.945 * [taylor]: Taking taylor expansion of lambda2 in phi1 178.945 * [backup-simplify]: Simplify lambda2 into lambda2 178.945 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.945 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 178.945 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 178.945 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.945 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 178.945 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 178.945 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 178.946 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 178.946 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 178.946 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2 178.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2 178.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2 178.946 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.946 * [backup-simplify]: Simplify 1/3 into 1/3 178.946 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2 178.946 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 178.946 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.946 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.946 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.946 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.946 * [backup-simplify]: Simplify 1/2 into 1/2 178.946 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.946 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.946 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.946 * [backup-simplify]: Simplify phi1 into phi1 178.946 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.946 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.946 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.946 * [backup-simplify]: Simplify phi2 into phi2 178.946 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.946 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.946 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.946 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.947 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.947 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.947 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.947 * [backup-simplify]: Simplify (- 0) into 0 178.947 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.947 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 178.947 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 178.947 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 178.947 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.947 * [backup-simplify]: Simplify lambda1 into lambda1 178.947 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 178.947 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 178.947 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.947 * [backup-simplify]: Simplify 0 into 0 178.947 * [backup-simplify]: Simplify 1 into 1 178.947 * [backup-simplify]: Simplify (/ 1 1) into 1 178.948 * [backup-simplify]: Simplify (- 1) into -1 178.948 * [backup-simplify]: Simplify (+ 0 -1) into -1 178.948 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.948 * [backup-simplify]: Simplify (* -1 -1) into 1 178.949 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.949 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.949 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 178.949 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 178.949 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 178.949 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 178.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 178.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 178.949 * [taylor]: Taking taylor expansion of 1/3 in lambda1 178.949 * [backup-simplify]: Simplify 1/3 into 1/3 178.949 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 178.949 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 178.949 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.950 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.950 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.950 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.950 * [backup-simplify]: Simplify 1/2 into 1/2 178.950 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.950 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.950 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.950 * [backup-simplify]: Simplify phi1 into phi1 178.950 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.950 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.950 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.950 * [backup-simplify]: Simplify phi2 into phi2 178.950 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.950 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.950 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.950 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.950 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.950 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.950 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.950 * [backup-simplify]: Simplify (- 0) into 0 178.951 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.951 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 178.951 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 178.951 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 178.951 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.951 * [backup-simplify]: Simplify 0 into 0 178.951 * [backup-simplify]: Simplify 1 into 1 178.951 * [backup-simplify]: Simplify (/ 1 1) into 1 178.951 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 178.951 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.951 * [backup-simplify]: Simplify lambda2 into lambda2 178.951 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.951 * [backup-simplify]: Simplify (+ 1 0) into 1 178.951 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.952 * [backup-simplify]: Simplify (* 1 1) into 1 178.952 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.952 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.952 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.952 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.953 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.953 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 178.953 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 178.953 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 178.953 * [taylor]: Taking taylor expansion of 1/3 in lambda1 178.953 * [backup-simplify]: Simplify 1/3 into 1/3 178.953 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 178.953 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 178.953 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 178.953 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 178.953 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 178.953 * [taylor]: Taking taylor expansion of 1/2 in lambda1 178.953 * [backup-simplify]: Simplify 1/2 into 1/2 178.953 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 178.953 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 178.953 * [taylor]: Taking taylor expansion of phi1 in lambda1 178.953 * [backup-simplify]: Simplify phi1 into phi1 178.953 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.953 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 178.953 * [taylor]: Taking taylor expansion of phi2 in lambda1 178.953 * [backup-simplify]: Simplify phi2 into phi2 178.953 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.953 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.953 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.953 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.953 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.953 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.953 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.954 * [backup-simplify]: Simplify (- 0) into 0 178.954 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.954 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 178.954 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 178.954 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 178.954 * [taylor]: Taking taylor expansion of lambda1 in lambda1 178.954 * [backup-simplify]: Simplify 0 into 0 178.954 * [backup-simplify]: Simplify 1 into 1 178.954 * [backup-simplify]: Simplify (/ 1 1) into 1 178.954 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 178.954 * [taylor]: Taking taylor expansion of lambda2 in lambda1 178.954 * [backup-simplify]: Simplify lambda2 into lambda2 178.954 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 178.954 * [backup-simplify]: Simplify (+ 1 0) into 1 178.955 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.955 * [backup-simplify]: Simplify (* 1 1) into 1 178.955 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.955 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.955 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.956 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.956 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 178.956 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 178.956 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.956 * [backup-simplify]: Simplify 1/3 into 1/3 178.956 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 178.956 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 178.956 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.956 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.956 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.956 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.956 * [backup-simplify]: Simplify 1/2 into 1/2 178.956 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.956 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.956 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.956 * [backup-simplify]: Simplify phi1 into phi1 178.956 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.956 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.956 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.956 * [backup-simplify]: Simplify phi2 into phi2 178.956 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.956 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.956 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.956 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.957 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.957 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.957 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.957 * [backup-simplify]: Simplify (- 0) into 0 178.957 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.957 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.957 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.957 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 178.957 * [taylor]: Taking taylor expansion of 2 in lambda2 178.957 * [backup-simplify]: Simplify 2 into 2 178.957 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 178.957 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.957 * [backup-simplify]: Simplify lambda1 into lambda1 178.957 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.957 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.958 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.958 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.958 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.958 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 178.958 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 178.958 * [taylor]: Taking taylor expansion of 1/3 in phi1 178.958 * [backup-simplify]: Simplify 1/3 into 1/3 178.958 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 178.958 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 178.958 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 178.958 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 178.958 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 178.958 * [taylor]: Taking taylor expansion of 1/2 in phi1 178.958 * [backup-simplify]: Simplify 1/2 into 1/2 178.958 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 178.958 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 178.958 * [taylor]: Taking taylor expansion of phi1 in phi1 178.958 * [backup-simplify]: Simplify 0 into 0 178.958 * [backup-simplify]: Simplify 1 into 1 178.958 * [backup-simplify]: Simplify (/ 1 1) into 1 178.958 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 178.958 * [taylor]: Taking taylor expansion of phi2 in phi1 178.959 * [backup-simplify]: Simplify phi2 into phi2 178.959 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.959 * [backup-simplify]: Simplify (+ 1 0) into 1 178.959 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.959 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.959 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.959 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.960 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 178.960 * [taylor]: Taking taylor expansion of 2 in phi1 178.960 * [backup-simplify]: Simplify 2 into 2 178.960 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 178.960 * [taylor]: Taking taylor expansion of lambda1 in phi1 178.960 * [backup-simplify]: Simplify lambda1 into lambda1 178.960 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.960 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.960 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.960 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.960 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.960 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 178.960 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 178.960 * [taylor]: Taking taylor expansion of 1/3 in phi2 178.960 * [backup-simplify]: Simplify 1/3 into 1/3 178.960 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 178.960 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 178.960 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 178.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 178.960 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 178.960 * [taylor]: Taking taylor expansion of 1/2 in phi2 178.960 * [backup-simplify]: Simplify 1/2 into 1/2 178.960 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 178.960 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 178.960 * [taylor]: Taking taylor expansion of phi1 in phi2 178.960 * [backup-simplify]: Simplify phi1 into phi1 178.960 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.960 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 178.960 * [taylor]: Taking taylor expansion of phi2 in phi2 178.960 * [backup-simplify]: Simplify 0 into 0 178.960 * [backup-simplify]: Simplify 1 into 1 178.961 * [backup-simplify]: Simplify (/ 1 1) into 1 178.961 * [backup-simplify]: Simplify (+ 0 1) into 1 178.961 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 178.961 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.962 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.962 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.962 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 178.962 * [taylor]: Taking taylor expansion of 2 in phi2 178.962 * [backup-simplify]: Simplify 2 into 2 178.962 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 178.962 * [taylor]: Taking taylor expansion of lambda1 in phi2 178.962 * [backup-simplify]: Simplify lambda1 into lambda1 178.962 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.962 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.962 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.962 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.962 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.962 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.962 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 178.963 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 178.963 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 178.963 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 178.963 * [backup-simplify]: Simplify (+ 0) into 0 178.964 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.964 * [backup-simplify]: Simplify (+ 0 0) into 0 178.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.965 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.965 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.966 * [backup-simplify]: Simplify (- 0) into 0 178.966 * [backup-simplify]: Simplify (+ 0 0) into 0 178.966 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.966 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 178.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 178.967 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.968 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 178.968 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 178.968 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 178.968 * [taylor]: Taking taylor expansion of -2/3 in lambda2 178.968 * [backup-simplify]: Simplify -2/3 into -2/3 178.968 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 178.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 178.968 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 178.968 * [taylor]: Taking taylor expansion of 1/3 in lambda2 178.968 * [backup-simplify]: Simplify 1/3 into 1/3 178.968 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 178.968 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 178.968 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 178.968 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 178.968 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 178.968 * [taylor]: Taking taylor expansion of 1/2 in lambda2 178.968 * [backup-simplify]: Simplify 1/2 into 1/2 178.968 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 178.968 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 178.968 * [taylor]: Taking taylor expansion of phi1 in lambda2 178.968 * [backup-simplify]: Simplify phi1 into phi1 178.968 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 178.968 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 178.968 * [taylor]: Taking taylor expansion of phi2 in lambda2 178.968 * [backup-simplify]: Simplify phi2 into phi2 178.968 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 178.969 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 178.969 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 178.969 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.969 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.969 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.969 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 178.970 * [backup-simplify]: Simplify (- 0) into 0 178.970 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 178.970 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 178.970 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 178.970 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 178.970 * [taylor]: Taking taylor expansion of 2 in lambda2 178.970 * [backup-simplify]: Simplify 2 into 2 178.971 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 178.971 * [taylor]: Taking taylor expansion of lambda1 in lambda2 178.971 * [backup-simplify]: Simplify lambda1 into lambda1 178.971 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 178.971 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 178.971 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 178.971 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 178.971 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 178.972 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.972 * [taylor]: Taking taylor expansion of lambda2 in lambda2 178.972 * [backup-simplify]: Simplify 0 into 0 178.972 * [backup-simplify]: Simplify 1 into 1 178.972 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 178.972 * [backup-simplify]: Simplify (+ 0) into 0 178.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.974 * [backup-simplify]: Simplify (+ 0 0) into 0 178.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.976 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.976 * [backup-simplify]: Simplify (- 0) into 0 178.976 * [backup-simplify]: Simplify (+ 0 0) into 0 178.977 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.979 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.979 * [backup-simplify]: Simplify (- 0) into 0 178.982 * [backup-simplify]: Simplify (+ 0 0) into 0 178.983 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.984 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 178.986 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 178.986 * [taylor]: Taking taylor expansion of 0 in phi1 178.986 * [backup-simplify]: Simplify 0 into 0 178.986 * [taylor]: Taking taylor expansion of 0 in phi2 178.986 * [backup-simplify]: Simplify 0 into 0 178.986 * [backup-simplify]: Simplify 0 into 0 178.986 * [backup-simplify]: Simplify (+ 0) into 0 178.987 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 178.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 178.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 178.987 * [backup-simplify]: Simplify (+ 0 0) into 0 178.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 178.989 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 178.989 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 178.990 * [backup-simplify]: Simplify (- 0) into 0 178.990 * [backup-simplify]: Simplify (+ 0 0) into 0 178.990 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.991 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.992 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.993 * [backup-simplify]: Simplify (- 0) into 0 178.993 * [backup-simplify]: Simplify (+ 0 0) into 0 178.993 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.994 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.994 * [taylor]: Taking taylor expansion of 0 in phi1 178.994 * [backup-simplify]: Simplify 0 into 0 178.994 * [taylor]: Taking taylor expansion of 0 in phi2 178.994 * [backup-simplify]: Simplify 0 into 0 178.994 * [backup-simplify]: Simplify 0 into 0 178.994 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.996 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.996 * [backup-simplify]: Simplify (- 0) into 0 178.996 * [backup-simplify]: Simplify (+ 0 0) into 0 178.996 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 178.997 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 178.997 * [taylor]: Taking taylor expansion of 0 in phi2 178.997 * [backup-simplify]: Simplify 0 into 0 178.997 * [backup-simplify]: Simplify 0 into 0 178.997 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 178.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 178.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 178.999 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 178.999 * [backup-simplify]: Simplify (- 0) into 0 178.999 * [backup-simplify]: Simplify (+ 0 0) into 0 178.999 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.000 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.000 * [backup-simplify]: Simplify 0 into 0 179.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 179.001 * [backup-simplify]: Simplify (- 0) into 0 179.001 * [backup-simplify]: Simplify (+ 0 0) into 0 179.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 179.002 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.003 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.003 * [backup-simplify]: Simplify (+ 0 0) into 0 179.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.004 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.005 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.005 * [backup-simplify]: Simplify (- 0) into 0 179.005 * [backup-simplify]: Simplify (+ 0 0) into 0 179.006 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.006 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 179.007 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 179.007 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.007 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 179.008 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 179.008 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 179.008 * [taylor]: Taking taylor expansion of -1/9 in lambda2 179.008 * [backup-simplify]: Simplify -1/9 into -1/9 179.008 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 179.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 179.008 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 179.008 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.008 * [backup-simplify]: Simplify 1/3 into 1/3 179.008 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 179.008 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 179.008 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.008 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.008 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.008 * [taylor]: Taking taylor expansion of 1/2 in lambda2 179.008 * [backup-simplify]: Simplify 1/2 into 1/2 179.008 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.008 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.008 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.008 * [backup-simplify]: Simplify phi1 into phi1 179.008 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.008 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.008 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.008 * [backup-simplify]: Simplify phi2 into phi2 179.008 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.008 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.008 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.008 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.008 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.008 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.009 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.009 * [backup-simplify]: Simplify (- 0) into 0 179.009 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.009 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.009 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.009 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 179.009 * [taylor]: Taking taylor expansion of 2 in lambda2 179.009 * [backup-simplify]: Simplify 2 into 2 179.009 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 179.009 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.009 * [backup-simplify]: Simplify lambda1 into lambda1 179.009 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.009 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.009 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.010 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.010 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.010 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.010 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 179.010 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.010 * [backup-simplify]: Simplify 0 into 0 179.010 * [backup-simplify]: Simplify 1 into 1 179.010 * [backup-simplify]: Simplify (* 1 1) into 1 179.010 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.011 * [backup-simplify]: Simplify (+ 0) into 0 179.011 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.011 * [backup-simplify]: Simplify (+ 0 0) into 0 179.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.013 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.013 * [backup-simplify]: Simplify (- 0) into 0 179.013 * [backup-simplify]: Simplify (+ 0 0) into 0 179.013 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.014 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.014 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.015 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.015 * [backup-simplify]: Simplify (- 0) into 0 179.015 * [backup-simplify]: Simplify (+ 0 0) into 0 179.016 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.016 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.017 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.017 * [backup-simplify]: Simplify (+ 0 0) into 0 179.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.018 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.019 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.019 * [backup-simplify]: Simplify (- 0) into 0 179.019 * [backup-simplify]: Simplify (+ 0 0) into 0 179.020 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 179.023 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 179.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 179.024 * [backup-simplify]: Simplify (- 0) into 0 179.024 * [backup-simplify]: Simplify (+ 0 0) into 0 179.025 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 179.027 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 179.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 179.029 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 179.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 179.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.033 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 179.033 * [taylor]: Taking taylor expansion of 0 in phi1 179.033 * [backup-simplify]: Simplify 0 into 0 179.034 * [taylor]: Taking taylor expansion of 0 in phi2 179.034 * [backup-simplify]: Simplify 0 into 0 179.034 * [backup-simplify]: Simplify 0 into 0 179.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.035 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.036 * [backup-simplify]: Simplify (+ 0 0) into 0 179.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.038 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.038 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.039 * [backup-simplify]: Simplify (- 0) into 0 179.039 * [backup-simplify]: Simplify (+ 0 0) into 0 179.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.042 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 179.043 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 179.044 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 179.045 * [backup-simplify]: Simplify (- 0) into 0 179.045 * [backup-simplify]: Simplify (+ 0 0) into 0 179.046 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 179.048 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 179.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.050 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 179.050 * [taylor]: Taking taylor expansion of 0 in phi1 179.050 * [backup-simplify]: Simplify 0 into 0 179.050 * [taylor]: Taking taylor expansion of 0 in phi2 179.050 * [backup-simplify]: Simplify 0 into 0 179.051 * [backup-simplify]: Simplify 0 into 0 179.051 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 179.052 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 179.052 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 179.052 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2 179.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2 179.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2 179.052 * [taylor]: Taking taylor expansion of 1/3 in phi2 179.052 * [backup-simplify]: Simplify 1/3 into 1/3 179.052 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2 179.052 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 179.052 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 179.052 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 179.052 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 179.052 * [taylor]: Taking taylor expansion of -1/2 in phi2 179.052 * [backup-simplify]: Simplify -1/2 into -1/2 179.052 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 179.052 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 179.052 * [taylor]: Taking taylor expansion of phi1 in phi2 179.052 * [backup-simplify]: Simplify phi1 into phi1 179.052 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.052 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 179.052 * [taylor]: Taking taylor expansion of phi2 in phi2 179.052 * [backup-simplify]: Simplify 0 into 0 179.052 * [backup-simplify]: Simplify 1 into 1 179.053 * [backup-simplify]: Simplify (/ 1 1) into 1 179.053 * [backup-simplify]: Simplify (+ 0 1) into 1 179.053 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 179.053 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.054 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 179.054 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 179.054 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 179.054 * [taylor]: Taking taylor expansion of lambda2 in phi2 179.054 * [backup-simplify]: Simplify lambda2 into lambda2 179.054 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.054 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 179.054 * [taylor]: Taking taylor expansion of lambda1 in phi2 179.054 * [backup-simplify]: Simplify lambda1 into lambda1 179.054 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 179.054 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 179.054 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 179.054 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.054 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 179.054 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 179.054 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 179.055 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 179.055 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 179.055 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1 179.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1 179.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1 179.055 * [taylor]: Taking taylor expansion of 1/3 in phi1 179.055 * [backup-simplify]: Simplify 1/3 into 1/3 179.055 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1 179.055 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 179.055 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 179.055 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 179.055 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 179.055 * [taylor]: Taking taylor expansion of -1/2 in phi1 179.055 * [backup-simplify]: Simplify -1/2 into -1/2 179.055 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 179.055 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 179.055 * [taylor]: Taking taylor expansion of phi1 in phi1 179.055 * [backup-simplify]: Simplify 0 into 0 179.055 * [backup-simplify]: Simplify 1 into 1 179.055 * [backup-simplify]: Simplify (/ 1 1) into 1 179.055 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 179.055 * [taylor]: Taking taylor expansion of phi2 in phi1 179.055 * [backup-simplify]: Simplify phi2 into phi2 179.055 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.056 * [backup-simplify]: Simplify (+ 1 0) into 1 179.056 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 179.056 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.056 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 179.056 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 179.056 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 179.056 * [taylor]: Taking taylor expansion of lambda2 in phi1 179.056 * [backup-simplify]: Simplify lambda2 into lambda2 179.056 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.056 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 179.056 * [taylor]: Taking taylor expansion of lambda1 in phi1 179.056 * [backup-simplify]: Simplify lambda1 into lambda1 179.056 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 179.056 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 179.056 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 179.057 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.057 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 179.057 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 179.057 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 179.057 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 179.057 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 179.057 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2 179.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2 179.057 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2 179.057 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.057 * [backup-simplify]: Simplify 1/3 into 1/3 179.058 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2 179.058 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 179.058 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.058 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.058 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.058 * [taylor]: Taking taylor expansion of -1/2 in lambda2 179.058 * [backup-simplify]: Simplify -1/2 into -1/2 179.058 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.058 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.058 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.058 * [backup-simplify]: Simplify phi1 into phi1 179.058 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.058 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.058 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.058 * [backup-simplify]: Simplify phi2 into phi2 179.058 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.058 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.058 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.058 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.058 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.058 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.058 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.058 * [backup-simplify]: Simplify (- 0) into 0 179.059 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.059 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 179.059 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 179.059 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 179.059 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.059 * [backup-simplify]: Simplify 0 into 0 179.059 * [backup-simplify]: Simplify 1 into 1 179.059 * [backup-simplify]: Simplify (/ 1 1) into 1 179.059 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 179.059 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.059 * [backup-simplify]: Simplify lambda1 into lambda1 179.059 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 179.059 * [backup-simplify]: Simplify (+ 1 0) into 1 179.059 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.060 * [backup-simplify]: Simplify (* 1 1) into 1 179.060 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.060 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.060 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 179.060 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 179.061 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 179.061 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 179.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 179.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 179.061 * [taylor]: Taking taylor expansion of 1/3 in lambda1 179.061 * [backup-simplify]: Simplify 1/3 into 1/3 179.061 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 179.061 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 179.061 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 179.061 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 179.061 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 179.061 * [taylor]: Taking taylor expansion of -1/2 in lambda1 179.061 * [backup-simplify]: Simplify -1/2 into -1/2 179.061 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 179.061 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 179.061 * [taylor]: Taking taylor expansion of phi1 in lambda1 179.061 * [backup-simplify]: Simplify phi1 into phi1 179.061 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.061 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 179.061 * [taylor]: Taking taylor expansion of phi2 in lambda1 179.061 * [backup-simplify]: Simplify phi2 into phi2 179.061 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.061 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.061 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.061 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.061 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.061 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.061 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.062 * [backup-simplify]: Simplify (- 0) into 0 179.062 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.062 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 179.062 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 179.062 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 179.062 * [taylor]: Taking taylor expansion of lambda2 in lambda1 179.062 * [backup-simplify]: Simplify lambda2 into lambda2 179.062 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.062 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 179.062 * [taylor]: Taking taylor expansion of lambda1 in lambda1 179.062 * [backup-simplify]: Simplify 0 into 0 179.062 * [backup-simplify]: Simplify 1 into 1 179.062 * [backup-simplify]: Simplify (/ 1 1) into 1 179.062 * [backup-simplify]: Simplify (- 1) into -1 179.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 179.063 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.063 * [backup-simplify]: Simplify (* -1 -1) into 1 179.063 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.063 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.064 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.064 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.064 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.064 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 179.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 179.064 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 179.064 * [taylor]: Taking taylor expansion of 1/3 in lambda1 179.064 * [backup-simplify]: Simplify 1/3 into 1/3 179.064 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 179.064 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 179.064 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 179.064 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 179.064 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 179.064 * [taylor]: Taking taylor expansion of -1/2 in lambda1 179.064 * [backup-simplify]: Simplify -1/2 into -1/2 179.064 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 179.064 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 179.064 * [taylor]: Taking taylor expansion of phi1 in lambda1 179.064 * [backup-simplify]: Simplify phi1 into phi1 179.064 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.064 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 179.064 * [taylor]: Taking taylor expansion of phi2 in lambda1 179.064 * [backup-simplify]: Simplify phi2 into phi2 179.064 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.065 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.065 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.065 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.065 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.065 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.065 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.065 * [backup-simplify]: Simplify (- 0) into 0 179.065 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.065 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 179.065 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 179.065 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 179.065 * [taylor]: Taking taylor expansion of lambda2 in lambda1 179.065 * [backup-simplify]: Simplify lambda2 into lambda2 179.065 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.065 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 179.065 * [taylor]: Taking taylor expansion of lambda1 in lambda1 179.065 * [backup-simplify]: Simplify 0 into 0 179.065 * [backup-simplify]: Simplify 1 into 1 179.066 * [backup-simplify]: Simplify (/ 1 1) into 1 179.066 * [backup-simplify]: Simplify (- 1) into -1 179.066 * [backup-simplify]: Simplify (+ 0 -1) into -1 179.066 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.067 * [backup-simplify]: Simplify (* -1 -1) into 1 179.067 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.067 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.067 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.067 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.067 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 179.068 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 179.068 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.068 * [backup-simplify]: Simplify 1/3 into 1/3 179.068 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 179.068 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 179.068 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.068 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.068 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.068 * [taylor]: Taking taylor expansion of -1/2 in lambda2 179.068 * [backup-simplify]: Simplify -1/2 into -1/2 179.068 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.068 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.068 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.068 * [backup-simplify]: Simplify phi1 into phi1 179.068 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.068 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.068 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.068 * [backup-simplify]: Simplify phi2 into phi2 179.068 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.068 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.068 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.068 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.068 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.068 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.068 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.069 * [backup-simplify]: Simplify (- 0) into 0 179.069 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.069 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.069 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.069 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 179.069 * [taylor]: Taking taylor expansion of 2 in lambda2 179.069 * [backup-simplify]: Simplify 2 into 2 179.069 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 179.069 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.069 * [backup-simplify]: Simplify lambda1 into lambda1 179.069 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.069 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.069 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.069 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.070 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.070 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 179.070 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 179.070 * [taylor]: Taking taylor expansion of 1/3 in phi1 179.070 * [backup-simplify]: Simplify 1/3 into 1/3 179.070 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 179.070 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 179.070 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 179.070 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 179.070 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 179.070 * [taylor]: Taking taylor expansion of -1/2 in phi1 179.070 * [backup-simplify]: Simplify -1/2 into -1/2 179.070 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 179.070 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 179.070 * [taylor]: Taking taylor expansion of phi1 in phi1 179.070 * [backup-simplify]: Simplify 0 into 0 179.070 * [backup-simplify]: Simplify 1 into 1 179.070 * [backup-simplify]: Simplify (/ 1 1) into 1 179.070 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 179.070 * [taylor]: Taking taylor expansion of phi2 in phi1 179.070 * [backup-simplify]: Simplify phi2 into phi2 179.070 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.071 * [backup-simplify]: Simplify (+ 1 0) into 1 179.071 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 179.071 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.071 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.071 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.071 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 179.071 * [taylor]: Taking taylor expansion of 2 in phi1 179.071 * [backup-simplify]: Simplify 2 into 2 179.071 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 179.071 * [taylor]: Taking taylor expansion of lambda1 in phi1 179.071 * [backup-simplify]: Simplify lambda1 into lambda1 179.071 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.072 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.072 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.072 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.072 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.072 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 179.072 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 179.072 * [taylor]: Taking taylor expansion of 1/3 in phi2 179.072 * [backup-simplify]: Simplify 1/3 into 1/3 179.072 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 179.072 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 179.072 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 179.072 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 179.072 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 179.072 * [taylor]: Taking taylor expansion of -1/2 in phi2 179.072 * [backup-simplify]: Simplify -1/2 into -1/2 179.072 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 179.072 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 179.072 * [taylor]: Taking taylor expansion of phi1 in phi2 179.072 * [backup-simplify]: Simplify phi1 into phi1 179.072 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.072 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 179.072 * [taylor]: Taking taylor expansion of phi2 in phi2 179.072 * [backup-simplify]: Simplify 0 into 0 179.072 * [backup-simplify]: Simplify 1 into 1 179.073 * [backup-simplify]: Simplify (/ 1 1) into 1 179.073 * [backup-simplify]: Simplify (+ 0 1) into 1 179.073 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 179.073 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.073 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.074 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.074 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 179.074 * [taylor]: Taking taylor expansion of 2 in phi2 179.074 * [backup-simplify]: Simplify 2 into 2 179.074 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 179.074 * [taylor]: Taking taylor expansion of lambda1 in phi2 179.074 * [backup-simplify]: Simplify lambda1 into lambda1 179.074 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.074 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.074 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.074 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.074 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.074 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.074 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 179.075 * [backup-simplify]: Simplify (- 0) into 0 179.075 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 179.075 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 179.076 * [backup-simplify]: Simplify (+ 0) into 0 179.076 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.076 * [backup-simplify]: Simplify (+ 0 0) into 0 179.077 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.077 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.078 * [backup-simplify]: Simplify (- 0) into 0 179.078 * [backup-simplify]: Simplify (+ 0 0) into 0 179.078 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.079 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 179.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 179.079 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.080 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 179.080 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 179.080 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 179.080 * [taylor]: Taking taylor expansion of -2/3 in lambda2 179.080 * [backup-simplify]: Simplify -2/3 into -2/3 179.080 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 179.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 179.080 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 179.080 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.080 * [backup-simplify]: Simplify 1/3 into 1/3 179.080 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 179.080 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 179.080 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.080 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.080 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.080 * [taylor]: Taking taylor expansion of -1/2 in lambda2 179.080 * [backup-simplify]: Simplify -1/2 into -1/2 179.080 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.080 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.080 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.080 * [backup-simplify]: Simplify phi1 into phi1 179.080 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.080 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.080 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.080 * [backup-simplify]: Simplify phi2 into phi2 179.080 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.080 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.081 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.081 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.081 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.081 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.081 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.082 * [backup-simplify]: Simplify (- 0) into 0 179.082 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.082 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.082 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.082 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 179.082 * [taylor]: Taking taylor expansion of 2 in lambda2 179.082 * [backup-simplify]: Simplify 2 into 2 179.082 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 179.082 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.082 * [backup-simplify]: Simplify lambda1 into lambda1 179.082 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.082 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.083 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.083 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.083 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.083 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.083 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.083 * [backup-simplify]: Simplify 0 into 0 179.083 * [backup-simplify]: Simplify 1 into 1 179.084 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.084 * [backup-simplify]: Simplify (+ 0) into 0 179.085 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.088 * [backup-simplify]: Simplify (+ 0 0) into 0 179.089 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.090 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.090 * [backup-simplify]: Simplify (- 0) into 0 179.091 * [backup-simplify]: Simplify (+ 0 0) into 0 179.091 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.093 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.094 * [backup-simplify]: Simplify (- 0) into 0 179.094 * [backup-simplify]: Simplify (+ 0 0) into 0 179.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.096 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 179.098 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 179.098 * [taylor]: Taking taylor expansion of 0 in phi1 179.098 * [backup-simplify]: Simplify 0 into 0 179.098 * [taylor]: Taking taylor expansion of 0 in phi2 179.098 * [backup-simplify]: Simplify 0 into 0 179.098 * [backup-simplify]: Simplify 0 into 0 179.099 * [backup-simplify]: Simplify (+ 0) into 0 179.099 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.100 * [backup-simplify]: Simplify (+ 0 0) into 0 179.101 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.102 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.103 * [backup-simplify]: Simplify (- 0) into 0 179.103 * [backup-simplify]: Simplify (+ 0 0) into 0 179.103 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.106 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.106 * [backup-simplify]: Simplify (- 0) into 0 179.106 * [backup-simplify]: Simplify (+ 0 0) into 0 179.107 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.108 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.108 * [taylor]: Taking taylor expansion of 0 in phi1 179.108 * [backup-simplify]: Simplify 0 into 0 179.108 * [taylor]: Taking taylor expansion of 0 in phi2 179.108 * [backup-simplify]: Simplify 0 into 0 179.109 * [backup-simplify]: Simplify 0 into 0 179.109 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.112 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.112 * [backup-simplify]: Simplify (- 0) into 0 179.113 * [backup-simplify]: Simplify (+ 0 0) into 0 179.113 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.115 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.115 * [taylor]: Taking taylor expansion of 0 in phi2 179.115 * [backup-simplify]: Simplify 0 into 0 179.115 * [backup-simplify]: Simplify 0 into 0 179.115 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.117 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.117 * [backup-simplify]: Simplify (- 0) into 0 179.117 * [backup-simplify]: Simplify (+ 0 0) into 0 179.118 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.118 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.118 * [backup-simplify]: Simplify 0 into 0 179.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 179.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.119 * [backup-simplify]: Simplify (- 0) into 0 179.119 * [backup-simplify]: Simplify (+ 0 0) into 0 179.120 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 179.121 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.121 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.121 * [backup-simplify]: Simplify (+ 0 0) into 0 179.122 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.123 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.123 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.123 * [backup-simplify]: Simplify (- 0) into 0 179.123 * [backup-simplify]: Simplify (+ 0 0) into 0 179.124 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.124 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 179.125 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 179.125 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.126 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 179.126 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 179.126 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 179.126 * [taylor]: Taking taylor expansion of -1/9 in lambda2 179.126 * [backup-simplify]: Simplify -1/9 into -1/9 179.126 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 179.126 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 179.126 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 179.126 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.126 * [backup-simplify]: Simplify 1/3 into 1/3 179.126 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 179.126 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 179.126 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.126 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.126 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.126 * [taylor]: Taking taylor expansion of -1/2 in lambda2 179.126 * [backup-simplify]: Simplify -1/2 into -1/2 179.126 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.126 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.126 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.126 * [backup-simplify]: Simplify phi1 into phi1 179.126 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.126 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.126 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.126 * [backup-simplify]: Simplify phi2 into phi2 179.126 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.127 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.127 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.127 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.127 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.127 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.127 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.127 * [backup-simplify]: Simplify (- 0) into 0 179.127 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.128 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.128 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.128 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 179.128 * [taylor]: Taking taylor expansion of 2 in lambda2 179.128 * [backup-simplify]: Simplify 2 into 2 179.128 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 179.128 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.128 * [backup-simplify]: Simplify lambda1 into lambda1 179.128 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.128 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.128 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.128 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.128 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.128 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.128 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 179.128 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.128 * [backup-simplify]: Simplify 0 into 0 179.128 * [backup-simplify]: Simplify 1 into 1 179.129 * [backup-simplify]: Simplify (* 1 1) into 1 179.129 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.129 * [backup-simplify]: Simplify (+ 0) into 0 179.129 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.130 * [backup-simplify]: Simplify (+ 0 0) into 0 179.130 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.131 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.131 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.131 * [backup-simplify]: Simplify (- 0) into 0 179.131 * [backup-simplify]: Simplify (+ 0 0) into 0 179.132 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.133 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.133 * [backup-simplify]: Simplify (- 0) into 0 179.133 * [backup-simplify]: Simplify (+ 0 0) into 0 179.134 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.135 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.135 * [backup-simplify]: Simplify (+ 0 0) into 0 179.136 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.136 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.137 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.137 * [backup-simplify]: Simplify (- 0) into 0 179.137 * [backup-simplify]: Simplify (+ 0 0) into 0 179.138 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 179.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 179.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 179.140 * [backup-simplify]: Simplify (- 0) into 0 179.141 * [backup-simplify]: Simplify (+ 0 0) into 0 179.141 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 179.142 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 179.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 179.143 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 179.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 179.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.146 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 179.146 * [taylor]: Taking taylor expansion of 0 in phi1 179.146 * [backup-simplify]: Simplify 0 into 0 179.146 * [taylor]: Taking taylor expansion of 0 in phi2 179.146 * [backup-simplify]: Simplify 0 into 0 179.146 * [backup-simplify]: Simplify 0 into 0 179.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.147 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.148 * [backup-simplify]: Simplify (+ 0 0) into 0 179.148 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.149 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.149 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.149 * [backup-simplify]: Simplify (- 0) into 0 179.149 * [backup-simplify]: Simplify (+ 0 0) into 0 179.150 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 179.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 179.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 179.153 * [backup-simplify]: Simplify (- 0) into 0 179.153 * [backup-simplify]: Simplify (+ 0 0) into 0 179.154 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 179.154 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 179.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.156 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 179.156 * [taylor]: Taking taylor expansion of 0 in phi1 179.156 * [backup-simplify]: Simplify 0 into 0 179.156 * [taylor]: Taking taylor expansion of 0 in phi2 179.156 * [backup-simplify]: Simplify 0 into 0 179.156 * [backup-simplify]: Simplify 0 into 0 179.156 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 179.157 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 179.157 * [backup-simplify]: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 179.157 * [approximate]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 179.157 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2 179.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2 179.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2 179.157 * [taylor]: Taking taylor expansion of 1/3 in phi2 179.157 * [backup-simplify]: Simplify 1/3 into 1/3 179.157 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2 179.157 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 179.157 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 179.157 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 179.157 * [taylor]: Taking taylor expansion of lambda1 in phi2 179.157 * [backup-simplify]: Simplify lambda1 into lambda1 179.157 * [taylor]: Taking taylor expansion of lambda2 in phi2 179.157 * [backup-simplify]: Simplify lambda2 into lambda2 179.157 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 179.157 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 179.157 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 179.157 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 179.157 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 179.157 * [taylor]: Taking taylor expansion of 1/2 in phi2 179.157 * [backup-simplify]: Simplify 1/2 into 1/2 179.157 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2 179.157 * [taylor]: Taking taylor expansion of phi1 in phi2 179.157 * [backup-simplify]: Simplify phi1 into phi1 179.157 * [taylor]: Taking taylor expansion of phi2 in phi2 179.157 * [backup-simplify]: Simplify 0 into 0 179.157 * [backup-simplify]: Simplify 1 into 1 179.157 * [backup-simplify]: Simplify (+ phi1 0) into phi1 179.158 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1) 179.158 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 179.158 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 179.158 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 179.158 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0 179.158 * [backup-simplify]: Simplify (- 0) into 0 179.158 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 179.158 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 179.158 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 179.158 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 179.158 * [backup-simplify]: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) 179.159 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) 179.159 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3) 179.159 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1 179.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 179.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 179.159 * [taylor]: Taking taylor expansion of 1/3 in phi1 179.159 * [backup-simplify]: Simplify 1/3 into 1/3 179.159 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 179.159 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 179.159 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 179.159 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 179.159 * [taylor]: Taking taylor expansion of lambda1 in phi1 179.159 * [backup-simplify]: Simplify lambda1 into lambda1 179.159 * [taylor]: Taking taylor expansion of lambda2 in phi1 179.159 * [backup-simplify]: Simplify lambda2 into lambda2 179.159 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 179.159 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 179.159 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 179.159 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 179.159 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 179.159 * [taylor]: Taking taylor expansion of 1/2 in phi1 179.159 * [backup-simplify]: Simplify 1/2 into 1/2 179.159 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 179.159 * [taylor]: Taking taylor expansion of phi1 in phi1 179.159 * [backup-simplify]: Simplify 0 into 0 179.159 * [backup-simplify]: Simplify 1 into 1 179.159 * [taylor]: Taking taylor expansion of phi2 in phi1 179.159 * [backup-simplify]: Simplify phi2 into phi2 179.159 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 179.159 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 179.159 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 179.159 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 179.159 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 179.159 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 179.160 * [backup-simplify]: Simplify (- 0) into 0 179.160 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 179.160 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 179.160 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 179.160 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 179.160 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 179.160 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) 179.160 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) 179.160 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 179.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 179.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 179.160 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.160 * [backup-simplify]: Simplify 1/3 into 1/3 179.160 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 179.160 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 179.160 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 179.160 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 179.160 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.160 * [backup-simplify]: Simplify lambda1 into lambda1 179.160 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.160 * [backup-simplify]: Simplify 0 into 0 179.160 * [backup-simplify]: Simplify 1 into 1 179.161 * [backup-simplify]: Simplify (- 0) into 0 179.161 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 179.161 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 179.161 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 179.161 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 179.161 * [taylor]: Taking taylor expansion of 1/2 in lambda2 179.161 * [backup-simplify]: Simplify 1/2 into 1/2 179.161 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 179.161 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.161 * [backup-simplify]: Simplify phi1 into phi1 179.161 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.161 * [backup-simplify]: Simplify phi2 into phi2 179.161 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 179.161 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 179.161 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 179.161 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 179.161 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 179.161 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 179.161 * [backup-simplify]: Simplify (- 0) into 0 179.162 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 179.162 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2) 179.162 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 179.162 * [backup-simplify]: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 179.162 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 179.162 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) 179.162 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 179.162 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 179.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 179.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 179.162 * [taylor]: Taking taylor expansion of 1/3 in lambda1 179.162 * [backup-simplify]: Simplify 1/3 into 1/3 179.162 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 179.162 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 179.162 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 179.162 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 179.162 * [taylor]: Taking taylor expansion of lambda1 in lambda1 179.162 * [backup-simplify]: Simplify 0 into 0 179.162 * [backup-simplify]: Simplify 1 into 1 179.162 * [taylor]: Taking taylor expansion of lambda2 in lambda1 179.162 * [backup-simplify]: Simplify lambda2 into lambda2 179.162 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 179.162 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 179.162 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 179.162 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 179.162 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 179.162 * [taylor]: Taking taylor expansion of 1/2 in lambda1 179.162 * [backup-simplify]: Simplify 1/2 into 1/2 179.163 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 179.163 * [taylor]: Taking taylor expansion of phi1 in lambda1 179.163 * [backup-simplify]: Simplify phi1 into phi1 179.163 * [taylor]: Taking taylor expansion of phi2 in lambda1 179.163 * [backup-simplify]: Simplify phi2 into phi2 179.163 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 179.163 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 179.163 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 179.163 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 179.163 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 179.163 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 179.163 * [backup-simplify]: Simplify (- 0) into 0 179.163 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 179.163 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 179.163 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 179.164 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 179.164 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 179.164 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 179.164 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 179.164 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 179.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 179.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 179.164 * [taylor]: Taking taylor expansion of 1/3 in lambda1 179.164 * [backup-simplify]: Simplify 1/3 into 1/3 179.164 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 179.164 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 179.164 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 179.164 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 179.164 * [taylor]: Taking taylor expansion of lambda1 in lambda1 179.164 * [backup-simplify]: Simplify 0 into 0 179.164 * [backup-simplify]: Simplify 1 into 1 179.164 * [taylor]: Taking taylor expansion of lambda2 in lambda1 179.164 * [backup-simplify]: Simplify lambda2 into lambda2 179.164 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 179.164 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 179.164 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 179.164 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 179.164 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 179.164 * [taylor]: Taking taylor expansion of 1/2 in lambda1 179.164 * [backup-simplify]: Simplify 1/2 into 1/2 179.164 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1 179.164 * [taylor]: Taking taylor expansion of phi1 in lambda1 179.164 * [backup-simplify]: Simplify phi1 into phi1 179.164 * [taylor]: Taking taylor expansion of phi2 in lambda1 179.164 * [backup-simplify]: Simplify phi2 into phi2 179.164 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 179.164 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 179.165 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 179.165 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 179.165 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 179.165 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 179.165 * [backup-simplify]: Simplify (- 0) into 0 179.165 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 179.165 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 179.165 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 179.165 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 179.165 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 179.166 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 179.166 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 179.166 * [taylor]: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 179.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 179.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 179.166 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.166 * [backup-simplify]: Simplify 1/3 into 1/3 179.166 * [taylor]: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 179.166 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 179.166 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 179.166 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.166 * [backup-simplify]: Simplify 0 into 0 179.166 * [backup-simplify]: Simplify 1 into 1 179.166 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 179.166 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 179.166 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 179.166 * [taylor]: Taking taylor expansion of 1/2 in lambda2 179.166 * [backup-simplify]: Simplify 1/2 into 1/2 179.166 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 179.166 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.166 * [backup-simplify]: Simplify phi1 into phi1 179.166 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.166 * [backup-simplify]: Simplify phi2 into phi2 179.166 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 179.166 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 179.166 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 179.166 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 179.166 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 179.166 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 179.167 * [backup-simplify]: Simplify (- 0) into 0 179.167 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 179.167 * [backup-simplify]: Simplify (* 1 1) into 1 179.167 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 179.167 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 179.167 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 179.168 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 179.168 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) 179.168 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) 179.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1 179.168 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1 179.168 * [taylor]: Taking taylor expansion of 1/3 in phi1 179.168 * [backup-simplify]: Simplify 1/3 into 1/3 179.168 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1 179.168 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 179.168 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 179.168 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 179.168 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 179.168 * [taylor]: Taking taylor expansion of 1/2 in phi1 179.168 * [backup-simplify]: Simplify 1/2 into 1/2 179.168 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 179.168 * [taylor]: Taking taylor expansion of phi1 in phi1 179.168 * [backup-simplify]: Simplify 0 into 0 179.168 * [backup-simplify]: Simplify 1 into 1 179.168 * [taylor]: Taking taylor expansion of phi2 in phi1 179.168 * [backup-simplify]: Simplify phi2 into phi2 179.168 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 179.168 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 179.168 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 179.168 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 179.168 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 179.168 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 179.169 * [backup-simplify]: Simplify (- 0) into 0 179.169 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 179.169 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 179.169 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 179.169 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi1 179.169 * [taylor]: Taking taylor expansion of 2 in phi1 179.169 * [backup-simplify]: Simplify 2 into 2 179.169 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 179.169 * [taylor]: Taking taylor expansion of lambda2 in phi1 179.169 * [backup-simplify]: Simplify lambda2 into lambda2 179.169 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 179.169 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 179.169 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) 179.169 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) 179.169 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) 179.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 179.169 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 179.169 * [taylor]: Taking taylor expansion of 1/3 in phi2 179.169 * [backup-simplify]: Simplify 1/3 into 1/3 179.169 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 179.169 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 179.169 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 179.169 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 179.169 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 179.169 * [taylor]: Taking taylor expansion of 1/2 in phi2 179.169 * [backup-simplify]: Simplify 1/2 into 1/2 179.169 * [taylor]: Taking taylor expansion of phi2 in phi2 179.169 * [backup-simplify]: Simplify 0 into 0 179.169 * [backup-simplify]: Simplify 1 into 1 179.170 * [backup-simplify]: Simplify (* 1/2 0) into 0 179.170 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 179.170 * [backup-simplify]: Simplify (* 1 1) into 1 179.171 * [backup-simplify]: Simplify (log 1) into 0 179.171 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 179.171 * [taylor]: Taking taylor expansion of 2 in phi2 179.171 * [backup-simplify]: Simplify 2 into 2 179.171 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 179.171 * [taylor]: Taking taylor expansion of lambda2 in phi2 179.171 * [backup-simplify]: Simplify lambda2 into lambda2 179.171 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 179.171 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 179.171 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 179.171 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 179.171 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 179.171 * [backup-simplify]: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) 179.171 * [backup-simplify]: Simplify (+ 0) into 0 179.172 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 179.172 * [backup-simplify]: Simplify (+ 0 0) into 0 179.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 179.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.173 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 179.173 * [backup-simplify]: Simplify (- 0) into 0 179.173 * [backup-simplify]: Simplify (+ 0 0) into 0 179.174 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 179.174 * [backup-simplify]: Simplify (- 0) into 0 179.174 * [backup-simplify]: Simplify (+ 1 0) into 1 179.174 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 179.174 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 179.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2) 179.175 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2))) 179.175 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) 179.175 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 179.175 * [taylor]: Taking taylor expansion of -2/3 in lambda2 179.175 * [backup-simplify]: Simplify -2/3 into -2/3 179.175 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 179.175 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 179.175 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 179.175 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.175 * [backup-simplify]: Simplify 1/3 into 1/3 179.175 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 179.175 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 179.175 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 179.175 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 179.175 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 179.175 * [taylor]: Taking taylor expansion of 1/2 in lambda2 179.175 * [backup-simplify]: Simplify 1/2 into 1/2 179.175 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 179.175 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.175 * [backup-simplify]: Simplify phi1 into phi1 179.175 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.175 * [backup-simplify]: Simplify phi2 into phi2 179.175 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 179.175 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 179.175 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 179.176 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 179.176 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 179.176 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 179.176 * [backup-simplify]: Simplify (- 0) into 0 179.176 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 179.176 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.176 * [backup-simplify]: Simplify 0 into 0 179.176 * [backup-simplify]: Simplify 1 into 1 179.176 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 179.176 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 179.176 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 179.177 * [backup-simplify]: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) 179.177 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) 179.177 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) 179.177 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) 179.177 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 179.177 * [taylor]: Taking taylor expansion of -2/3 in phi1 179.177 * [backup-simplify]: Simplify -2/3 into -2/3 179.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 179.177 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 179.177 * [taylor]: Taking taylor expansion of 1/3 in phi1 179.177 * [backup-simplify]: Simplify 1/3 into 1/3 179.177 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 179.177 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 179.177 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 179.177 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 179.177 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 179.177 * [taylor]: Taking taylor expansion of 1/2 in phi1 179.177 * [backup-simplify]: Simplify 1/2 into 1/2 179.177 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 179.177 * [taylor]: Taking taylor expansion of phi1 in phi1 179.177 * [backup-simplify]: Simplify 0 into 0 179.177 * [backup-simplify]: Simplify 1 into 1 179.177 * [taylor]: Taking taylor expansion of phi2 in phi1 179.177 * [backup-simplify]: Simplify phi2 into phi2 179.177 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 179.177 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 179.177 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 179.177 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 179.178 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 179.178 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 179.178 * [backup-simplify]: Simplify (- 0) into 0 179.178 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 179.178 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 179.178 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 179.178 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 179.178 * [taylor]: Taking taylor expansion of lambda2 in phi1 179.178 * [backup-simplify]: Simplify lambda2 into lambda2 179.178 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 179.178 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 179.178 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) 179.178 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) 179.178 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) 179.179 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) 179.179 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 179.179 * [taylor]: Taking taylor expansion of -2/3 in phi2 179.179 * [backup-simplify]: Simplify -2/3 into -2/3 179.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 179.179 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 179.179 * [taylor]: Taking taylor expansion of 1/3 in phi2 179.179 * [backup-simplify]: Simplify 1/3 into 1/3 179.179 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 179.179 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 179.179 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 179.179 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 179.179 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 179.179 * [taylor]: Taking taylor expansion of 1/2 in phi2 179.179 * [backup-simplify]: Simplify 1/2 into 1/2 179.179 * [taylor]: Taking taylor expansion of phi2 in phi2 179.179 * [backup-simplify]: Simplify 0 into 0 179.179 * [backup-simplify]: Simplify 1 into 1 179.179 * [backup-simplify]: Simplify (* 1/2 0) into 0 179.180 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 179.180 * [backup-simplify]: Simplify (* 1 1) into 1 179.180 * [backup-simplify]: Simplify (log 1) into 0 179.180 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 179.180 * [taylor]: Taking taylor expansion of lambda2 in phi2 179.180 * [backup-simplify]: Simplify lambda2 into lambda2 179.180 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 179.180 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2)) 179.180 * [backup-simplify]: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) 179.180 * [backup-simplify]: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) 179.180 * [backup-simplify]: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) 179.180 * [backup-simplify]: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 179.180 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 179.181 * [backup-simplify]: Simplify (+ 0) into 0 179.181 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 179.181 * [backup-simplify]: Simplify (+ 0 0) into 0 179.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 179.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.182 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 179.183 * [backup-simplify]: Simplify (- 0) into 0 179.183 * [backup-simplify]: Simplify (+ 0 0) into 0 179.183 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 179.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 179.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 179.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 179.184 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 179.185 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0 179.185 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.185 * [taylor]: Taking taylor expansion of 0 in phi1 179.185 * [backup-simplify]: Simplify 0 into 0 179.186 * [taylor]: Taking taylor expansion of 0 in phi2 179.186 * [backup-simplify]: Simplify 0 into 0 179.186 * [backup-simplify]: Simplify 0 into 0 179.186 * [backup-simplify]: Simplify (+ 0) into 0 179.186 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 179.186 * [backup-simplify]: Simplify (+ 1 0) into 1 179.187 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 179.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 179.189 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 179.189 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 179.189 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 179.190 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 179.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 179.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 179.191 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 179.191 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 179.191 * [backup-simplify]: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 179.191 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) 179.191 * [taylor]: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2 179.191 * [taylor]: Taking taylor expansion of -1/3 in phi2 179.191 * [backup-simplify]: Simplify -1/3 into -1/3 179.192 * [taylor]: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2 179.192 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2 179.192 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 179.192 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 179.192 * [taylor]: Taking taylor expansion of 1/2 in phi2 179.192 * [backup-simplify]: Simplify 1/2 into 1/2 179.192 * [taylor]: Taking taylor expansion of phi2 in phi2 179.192 * [backup-simplify]: Simplify 0 into 0 179.192 * [backup-simplify]: Simplify 1 into 1 179.192 * [backup-simplify]: Simplify (* 1/2 0) into 0 179.192 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 179.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 179.192 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 179.192 * [taylor]: Taking taylor expansion of 1/3 in phi2 179.192 * [backup-simplify]: Simplify 1/3 into 1/3 179.192 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 179.192 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 179.193 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 179.193 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 179.193 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 179.193 * [taylor]: Taking taylor expansion of 1/2 in phi2 179.193 * [backup-simplify]: Simplify 1/2 into 1/2 179.193 * [taylor]: Taking taylor expansion of phi2 in phi2 179.193 * [backup-simplify]: Simplify 0 into 0 179.193 * [backup-simplify]: Simplify 1 into 1 179.193 * [backup-simplify]: Simplify (* 1/2 0) into 0 179.193 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 179.194 * [backup-simplify]: Simplify (* 1 1) into 1 179.194 * [backup-simplify]: Simplify (log 1) into 0 179.194 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2 179.194 * [taylor]: Taking taylor expansion of 2 in phi2 179.194 * [backup-simplify]: Simplify 2 into 2 179.194 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 179.194 * [taylor]: Taking taylor expansion of lambda2 in phi2 179.194 * [backup-simplify]: Simplify lambda2 into lambda2 179.194 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 179.194 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 179.194 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 179.194 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 179.194 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 179.194 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 179.194 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 179.194 * [taylor]: Taking taylor expansion of 1/2 in phi2 179.194 * [backup-simplify]: Simplify 1/2 into 1/2 179.194 * [taylor]: Taking taylor expansion of phi2 in phi2 179.194 * [backup-simplify]: Simplify 0 into 0 179.194 * [backup-simplify]: Simplify 1 into 1 179.195 * [backup-simplify]: Simplify (* 1/2 0) into 0 179.195 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 179.195 * [backup-simplify]: Simplify (* 0 (pow lambda2 2/3)) into 0 179.195 * [backup-simplify]: Simplify (+ 0) into 0 179.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 179.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 179.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 179.197 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 179.197 * [backup-simplify]: Simplify (+ 0 0) into 0 179.198 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 179.198 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 179.199 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 179.199 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) 179.199 * [backup-simplify]: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) 179.199 * [backup-simplify]: Simplify (+ 0) into 0 179.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 179.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 179.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 179.201 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 179.202 * [backup-simplify]: Simplify (+ 0 0) into 0 179.202 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 179.202 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 179.202 * [backup-simplify]: Simplify 0 into 0 179.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.203 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 179.204 * [backup-simplify]: Simplify (+ 0 0) into 0 179.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 179.205 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.205 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 179.205 * [backup-simplify]: Simplify (- 0) into 0 179.205 * [backup-simplify]: Simplify (+ 0 0) into 0 179.206 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 179.206 * [backup-simplify]: Simplify (- 0) into 0 179.206 * [backup-simplify]: Simplify (+ 0 0) into 0 179.207 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 179.207 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 179.207 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) 179.207 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 179.208 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) 179.208 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 179.208 * [taylor]: Taking taylor expansion of -1/9 in lambda2 179.208 * [backup-simplify]: Simplify -1/9 into -1/9 179.208 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 179.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 179.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 179.208 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.208 * [backup-simplify]: Simplify 1/3 into 1/3 179.208 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 179.208 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 179.208 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 179.208 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 179.208 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 179.208 * [taylor]: Taking taylor expansion of 1/2 in lambda2 179.208 * [backup-simplify]: Simplify 1/2 into 1/2 179.208 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2 179.208 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.208 * [backup-simplify]: Simplify phi1 into phi1 179.208 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.208 * [backup-simplify]: Simplify phi2 into phi2 179.208 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2) 179.208 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 179.208 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 179.208 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 179.208 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 179.208 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 179.209 * [backup-simplify]: Simplify (- 0) into 0 179.209 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 179.209 * [taylor]: Taking taylor expansion of (pow lambda2 4) in lambda2 179.209 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.209 * [backup-simplify]: Simplify 0 into 0 179.209 * [backup-simplify]: Simplify 1 into 1 179.209 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 179.209 * [backup-simplify]: Simplify (* 1 1) into 1 179.210 * [backup-simplify]: Simplify (* 1 1) into 1 179.210 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 179.210 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 179.210 * [backup-simplify]: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) 179.210 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) 179.210 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) 179.211 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) 179.211 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 179.211 * [taylor]: Taking taylor expansion of -1/9 in phi1 179.211 * [backup-simplify]: Simplify -1/9 into -1/9 179.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 179.211 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 179.211 * [taylor]: Taking taylor expansion of 1/3 in phi1 179.211 * [backup-simplify]: Simplify 1/3 into 1/3 179.211 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 179.211 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 179.211 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 179.211 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 179.211 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 179.211 * [taylor]: Taking taylor expansion of 1/2 in phi1 179.211 * [backup-simplify]: Simplify 1/2 into 1/2 179.211 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1 179.211 * [taylor]: Taking taylor expansion of phi1 in phi1 179.211 * [backup-simplify]: Simplify 0 into 0 179.211 * [backup-simplify]: Simplify 1 into 1 179.211 * [taylor]: Taking taylor expansion of phi2 in phi1 179.211 * [backup-simplify]: Simplify phi2 into phi2 179.211 * [backup-simplify]: Simplify (+ 0 phi2) into phi2 179.211 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2) 179.211 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 179.211 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 179.211 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 179.211 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0 179.211 * [backup-simplify]: Simplify (- 0) into 0 179.211 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 179.211 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 179.212 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 179.212 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi1 179.212 * [taylor]: Taking taylor expansion of 4 in phi1 179.212 * [backup-simplify]: Simplify 4 into 4 179.212 * [taylor]: Taking taylor expansion of (log lambda2) in phi1 179.212 * [taylor]: Taking taylor expansion of lambda2 in phi1 179.212 * [backup-simplify]: Simplify lambda2 into lambda2 179.212 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 179.212 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 179.212 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 179.212 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) 179.212 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) 179.212 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) 179.212 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) 179.212 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 179.212 * [taylor]: Taking taylor expansion of -1/9 in phi2 179.212 * [backup-simplify]: Simplify -1/9 into -1/9 179.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 179.212 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 179.213 * [taylor]: Taking taylor expansion of 1/3 in phi2 179.213 * [backup-simplify]: Simplify 1/3 into 1/3 179.213 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 179.213 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 179.213 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 179.213 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 179.213 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2 179.213 * [taylor]: Taking taylor expansion of 1/2 in phi2 179.213 * [backup-simplify]: Simplify 1/2 into 1/2 179.213 * [taylor]: Taking taylor expansion of phi2 in phi2 179.213 * [backup-simplify]: Simplify 0 into 0 179.213 * [backup-simplify]: Simplify 1 into 1 179.214 * [backup-simplify]: Simplify (* 1/2 0) into 0 179.214 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 179.215 * [backup-simplify]: Simplify (* 1 1) into 1 179.215 * [backup-simplify]: Simplify (log 1) into 0 179.215 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi2 179.215 * [taylor]: Taking taylor expansion of 4 in phi2 179.215 * [backup-simplify]: Simplify 4 into 4 179.215 * [taylor]: Taking taylor expansion of (log lambda2) in phi2 179.215 * [taylor]: Taking taylor expansion of lambda2 in phi2 179.215 * [backup-simplify]: Simplify lambda2 into lambda2 179.215 * [backup-simplify]: Simplify (log lambda2) into (log lambda2) 179.216 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 179.216 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 179.216 * [backup-simplify]: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) 179.216 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) 179.216 * [backup-simplify]: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) 179.216 * [backup-simplify]: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 179.216 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 179.217 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2))))) 179.217 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 179.218 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 179.218 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2 179.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2 179.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2 179.218 * [taylor]: Taking taylor expansion of 1/3 in phi2 179.218 * [backup-simplify]: Simplify 1/3 into 1/3 179.218 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2 179.218 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 179.218 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 179.218 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 179.218 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 179.218 * [taylor]: Taking taylor expansion of 1/2 in phi2 179.218 * [backup-simplify]: Simplify 1/2 into 1/2 179.218 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 179.218 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 179.218 * [taylor]: Taking taylor expansion of phi1 in phi2 179.218 * [backup-simplify]: Simplify phi1 into phi1 179.218 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.218 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 179.218 * [taylor]: Taking taylor expansion of phi2 in phi2 179.218 * [backup-simplify]: Simplify 0 into 0 179.218 * [backup-simplify]: Simplify 1 into 1 179.219 * [backup-simplify]: Simplify (/ 1 1) into 1 179.219 * [backup-simplify]: Simplify (+ 0 1) into 1 179.220 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 179.220 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.220 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 179.220 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 179.220 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 179.220 * [taylor]: Taking taylor expansion of lambda1 in phi2 179.220 * [backup-simplify]: Simplify lambda1 into lambda1 179.220 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 179.220 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 179.220 * [taylor]: Taking taylor expansion of lambda2 in phi2 179.220 * [backup-simplify]: Simplify lambda2 into lambda2 179.220 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.220 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 179.220 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 179.221 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.221 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 179.221 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 179.221 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 179.222 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 179.222 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 179.222 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1 179.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1 179.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1 179.222 * [taylor]: Taking taylor expansion of 1/3 in phi1 179.222 * [backup-simplify]: Simplify 1/3 into 1/3 179.222 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1 179.222 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 179.222 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 179.222 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 179.222 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 179.223 * [taylor]: Taking taylor expansion of 1/2 in phi1 179.223 * [backup-simplify]: Simplify 1/2 into 1/2 179.223 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 179.223 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 179.223 * [taylor]: Taking taylor expansion of phi1 in phi1 179.223 * [backup-simplify]: Simplify 0 into 0 179.223 * [backup-simplify]: Simplify 1 into 1 179.223 * [backup-simplify]: Simplify (/ 1 1) into 1 179.223 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 179.223 * [taylor]: Taking taylor expansion of phi2 in phi1 179.223 * [backup-simplify]: Simplify phi2 into phi2 179.223 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.224 * [backup-simplify]: Simplify (+ 1 0) into 1 179.224 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 179.224 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.224 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 179.224 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 179.224 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 179.224 * [taylor]: Taking taylor expansion of lambda1 in phi1 179.224 * [backup-simplify]: Simplify lambda1 into lambda1 179.224 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 179.225 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 179.225 * [taylor]: Taking taylor expansion of lambda2 in phi1 179.225 * [backup-simplify]: Simplify lambda2 into lambda2 179.225 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.225 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 179.225 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 179.225 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.225 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 179.226 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 179.226 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 179.226 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 179.227 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 179.227 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2 179.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2 179.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2 179.227 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.227 * [backup-simplify]: Simplify 1/3 into 1/3 179.227 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2 179.227 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 179.227 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.227 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.227 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.227 * [taylor]: Taking taylor expansion of 1/2 in lambda2 179.227 * [backup-simplify]: Simplify 1/2 into 1/2 179.227 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.227 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.227 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.227 * [backup-simplify]: Simplify phi1 into phi1 179.227 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.227 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.227 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.227 * [backup-simplify]: Simplify phi2 into phi2 179.227 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.227 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.228 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.228 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.228 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.228 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.228 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.229 * [backup-simplify]: Simplify (- 0) into 0 179.229 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.229 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 179.229 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 179.229 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 179.229 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.229 * [backup-simplify]: Simplify lambda1 into lambda1 179.229 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 179.229 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 179.229 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.229 * [backup-simplify]: Simplify 0 into 0 179.229 * [backup-simplify]: Simplify 1 into 1 179.229 * [backup-simplify]: Simplify (/ 1 1) into 1 179.230 * [backup-simplify]: Simplify (- 1) into -1 179.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 179.231 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.231 * [backup-simplify]: Simplify (* -1 -1) into 1 179.231 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.231 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.232 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 179.232 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 179.233 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 179.233 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 179.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 179.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 179.233 * [taylor]: Taking taylor expansion of 1/3 in lambda1 179.233 * [backup-simplify]: Simplify 1/3 into 1/3 179.233 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 179.233 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 179.233 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 179.233 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 179.233 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 179.233 * [taylor]: Taking taylor expansion of 1/2 in lambda1 179.233 * [backup-simplify]: Simplify 1/2 into 1/2 179.233 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 179.233 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 179.233 * [taylor]: Taking taylor expansion of phi1 in lambda1 179.233 * [backup-simplify]: Simplify phi1 into phi1 179.233 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.233 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 179.233 * [taylor]: Taking taylor expansion of phi2 in lambda1 179.233 * [backup-simplify]: Simplify phi2 into phi2 179.233 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.233 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.233 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.234 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.234 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.234 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.234 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.234 * [backup-simplify]: Simplify (- 0) into 0 179.235 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.235 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 179.235 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 179.235 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 179.235 * [taylor]: Taking taylor expansion of lambda1 in lambda1 179.235 * [backup-simplify]: Simplify 0 into 0 179.235 * [backup-simplify]: Simplify 1 into 1 179.235 * [backup-simplify]: Simplify (/ 1 1) into 1 179.235 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 179.235 * [taylor]: Taking taylor expansion of lambda2 in lambda1 179.235 * [backup-simplify]: Simplify lambda2 into lambda2 179.235 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.236 * [backup-simplify]: Simplify (+ 1 0) into 1 179.236 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.236 * [backup-simplify]: Simplify (* 1 1) into 1 179.237 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.237 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.237 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.238 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.238 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.238 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 179.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 179.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 179.238 * [taylor]: Taking taylor expansion of 1/3 in lambda1 179.238 * [backup-simplify]: Simplify 1/3 into 1/3 179.238 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 179.238 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 179.238 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 179.238 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 179.238 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 179.238 * [taylor]: Taking taylor expansion of 1/2 in lambda1 179.238 * [backup-simplify]: Simplify 1/2 into 1/2 179.238 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 179.238 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 179.238 * [taylor]: Taking taylor expansion of phi1 in lambda1 179.238 * [backup-simplify]: Simplify phi1 into phi1 179.238 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.238 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 179.239 * [taylor]: Taking taylor expansion of phi2 in lambda1 179.239 * [backup-simplify]: Simplify phi2 into phi2 179.239 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.239 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.239 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.239 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.239 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.239 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.239 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.240 * [backup-simplify]: Simplify (- 0) into 0 179.240 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.240 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 179.240 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 179.240 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 179.240 * [taylor]: Taking taylor expansion of lambda1 in lambda1 179.240 * [backup-simplify]: Simplify 0 into 0 179.240 * [backup-simplify]: Simplify 1 into 1 179.241 * [backup-simplify]: Simplify (/ 1 1) into 1 179.241 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 179.241 * [taylor]: Taking taylor expansion of lambda2 in lambda1 179.241 * [backup-simplify]: Simplify lambda2 into lambda2 179.241 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.241 * [backup-simplify]: Simplify (+ 1 0) into 1 179.241 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.242 * [backup-simplify]: Simplify (* 1 1) into 1 179.242 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.242 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.243 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.243 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.243 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 179.243 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 179.243 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.244 * [backup-simplify]: Simplify 1/3 into 1/3 179.244 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 179.244 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 179.244 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.244 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.244 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.244 * [taylor]: Taking taylor expansion of 1/2 in lambda2 179.244 * [backup-simplify]: Simplify 1/2 into 1/2 179.244 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.244 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.244 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.244 * [backup-simplify]: Simplify phi1 into phi1 179.244 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.244 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.244 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.244 * [backup-simplify]: Simplify phi2 into phi2 179.244 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.244 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.244 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.244 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.245 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.245 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.245 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.246 * [backup-simplify]: Simplify (- 0) into 0 179.246 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.246 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.246 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.246 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 179.246 * [taylor]: Taking taylor expansion of 2 in lambda2 179.246 * [backup-simplify]: Simplify 2 into 2 179.246 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 179.246 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.246 * [backup-simplify]: Simplify lambda1 into lambda1 179.246 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.247 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.247 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.247 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.247 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.247 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 179.247 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 179.248 * [taylor]: Taking taylor expansion of 1/3 in phi1 179.248 * [backup-simplify]: Simplify 1/3 into 1/3 179.248 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 179.248 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 179.248 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 179.248 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 179.248 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 179.248 * [taylor]: Taking taylor expansion of 1/2 in phi1 179.248 * [backup-simplify]: Simplify 1/2 into 1/2 179.248 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 179.248 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 179.248 * [taylor]: Taking taylor expansion of phi1 in phi1 179.248 * [backup-simplify]: Simplify 0 into 0 179.248 * [backup-simplify]: Simplify 1 into 1 179.248 * [backup-simplify]: Simplify (/ 1 1) into 1 179.248 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 179.248 * [taylor]: Taking taylor expansion of phi2 in phi1 179.248 * [backup-simplify]: Simplify phi2 into phi2 179.248 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.249 * [backup-simplify]: Simplify (+ 1 0) into 1 179.249 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 179.249 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.250 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.250 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.250 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 179.250 * [taylor]: Taking taylor expansion of 2 in phi1 179.250 * [backup-simplify]: Simplify 2 into 2 179.250 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 179.250 * [taylor]: Taking taylor expansion of lambda1 in phi1 179.250 * [backup-simplify]: Simplify lambda1 into lambda1 179.250 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.250 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.250 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.251 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.251 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.251 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 179.251 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 179.251 * [taylor]: Taking taylor expansion of 1/3 in phi2 179.251 * [backup-simplify]: Simplify 1/3 into 1/3 179.251 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 179.251 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 179.251 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 179.251 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 179.251 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 179.251 * [taylor]: Taking taylor expansion of 1/2 in phi2 179.251 * [backup-simplify]: Simplify 1/2 into 1/2 179.251 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 179.251 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 179.251 * [taylor]: Taking taylor expansion of phi1 in phi2 179.252 * [backup-simplify]: Simplify phi1 into phi1 179.252 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.252 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 179.252 * [taylor]: Taking taylor expansion of phi2 in phi2 179.252 * [backup-simplify]: Simplify 0 into 0 179.252 * [backup-simplify]: Simplify 1 into 1 179.252 * [backup-simplify]: Simplify (/ 1 1) into 1 179.252 * [backup-simplify]: Simplify (+ 0 1) into 1 179.253 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 179.253 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.253 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.254 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.254 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 179.254 * [taylor]: Taking taylor expansion of 2 in phi2 179.254 * [backup-simplify]: Simplify 2 into 2 179.254 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 179.254 * [taylor]: Taking taylor expansion of lambda1 in phi2 179.254 * [backup-simplify]: Simplify lambda1 into lambda1 179.254 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.254 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.254 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.254 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.254 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.255 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.255 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 179.256 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 179.256 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 179.256 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 179.257 * [backup-simplify]: Simplify (+ 0) into 0 179.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.258 * [backup-simplify]: Simplify (+ 0 0) into 0 179.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.260 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.260 * [backup-simplify]: Simplify (- 0) into 0 179.260 * [backup-simplify]: Simplify (+ 0 0) into 0 179.261 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.262 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 179.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 179.263 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.264 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 179.264 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 179.264 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 179.264 * [taylor]: Taking taylor expansion of -2/3 in lambda2 179.264 * [backup-simplify]: Simplify -2/3 into -2/3 179.264 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 179.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 179.264 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 179.264 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.264 * [backup-simplify]: Simplify 1/3 into 1/3 179.264 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 179.265 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 179.265 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.265 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.265 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.265 * [taylor]: Taking taylor expansion of 1/2 in lambda2 179.265 * [backup-simplify]: Simplify 1/2 into 1/2 179.265 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.265 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.265 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.265 * [backup-simplify]: Simplify phi1 into phi1 179.265 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.265 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.265 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.265 * [backup-simplify]: Simplify phi2 into phi2 179.265 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.265 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.265 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.265 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.265 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.266 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.266 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.266 * [backup-simplify]: Simplify (- 0) into 0 179.267 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.267 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.267 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.267 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 179.267 * [taylor]: Taking taylor expansion of 2 in lambda2 179.267 * [backup-simplify]: Simplify 2 into 2 179.267 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 179.267 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.267 * [backup-simplify]: Simplify lambda1 into lambda1 179.267 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.267 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.268 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.268 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.268 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.269 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.269 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.269 * [backup-simplify]: Simplify 0 into 0 179.269 * [backup-simplify]: Simplify 1 into 1 179.269 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.270 * [backup-simplify]: Simplify (+ 0) into 0 179.271 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.271 * [backup-simplify]: Simplify (+ 0 0) into 0 179.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.273 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.274 * [backup-simplify]: Simplify (- 0) into 0 179.274 * [backup-simplify]: Simplify (+ 0 0) into 0 179.275 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.277 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.277 * [backup-simplify]: Simplify (- 0) into 0 179.278 * [backup-simplify]: Simplify (+ 0 0) into 0 179.278 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.279 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 179.282 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 179.282 * [taylor]: Taking taylor expansion of 0 in phi1 179.282 * [backup-simplify]: Simplify 0 into 0 179.282 * [taylor]: Taking taylor expansion of 0 in phi2 179.282 * [backup-simplify]: Simplify 0 into 0 179.282 * [backup-simplify]: Simplify 0 into 0 179.282 * [backup-simplify]: Simplify (+ 0) into 0 179.283 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.284 * [backup-simplify]: Simplify (+ 0 0) into 0 179.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.286 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.286 * [backup-simplify]: Simplify (- 0) into 0 179.287 * [backup-simplify]: Simplify (+ 0 0) into 0 179.288 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.290 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.290 * [backup-simplify]: Simplify (- 0) into 0 179.291 * [backup-simplify]: Simplify (+ 0 0) into 0 179.292 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.293 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.293 * [taylor]: Taking taylor expansion of 0 in phi1 179.293 * [backup-simplify]: Simplify 0 into 0 179.293 * [taylor]: Taking taylor expansion of 0 in phi2 179.293 * [backup-simplify]: Simplify 0 into 0 179.293 * [backup-simplify]: Simplify 0 into 0 179.293 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.295 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.296 * [backup-simplify]: Simplify (- 0) into 0 179.296 * [backup-simplify]: Simplify (+ 0 0) into 0 179.297 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.298 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.298 * [taylor]: Taking taylor expansion of 0 in phi2 179.298 * [backup-simplify]: Simplify 0 into 0 179.298 * [backup-simplify]: Simplify 0 into 0 179.298 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.300 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.301 * [backup-simplify]: Simplify (- 0) into 0 179.301 * [backup-simplify]: Simplify (+ 0 0) into 0 179.302 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.303 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.303 * [backup-simplify]: Simplify 0 into 0 179.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 179.304 * [backup-simplify]: Simplify (- 0) into 0 179.305 * [backup-simplify]: Simplify (+ 0 0) into 0 179.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 179.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.307 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.308 * [backup-simplify]: Simplify (+ 0 0) into 0 179.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.310 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.311 * [backup-simplify]: Simplify (- 0) into 0 179.311 * [backup-simplify]: Simplify (+ 0 0) into 0 179.312 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.313 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 179.314 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 179.315 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.315 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 179.316 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 179.316 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 179.316 * [taylor]: Taking taylor expansion of -1/9 in lambda2 179.316 * [backup-simplify]: Simplify -1/9 into -1/9 179.316 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 179.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 179.316 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 179.316 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.316 * [backup-simplify]: Simplify 1/3 into 1/3 179.316 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 179.316 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 179.316 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.316 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.316 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.316 * [taylor]: Taking taylor expansion of 1/2 in lambda2 179.317 * [backup-simplify]: Simplify 1/2 into 1/2 179.317 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.317 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.317 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.317 * [backup-simplify]: Simplify phi1 into phi1 179.317 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.317 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.317 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.317 * [backup-simplify]: Simplify phi2 into phi2 179.317 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.317 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.317 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.317 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.317 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.318 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.318 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.318 * [backup-simplify]: Simplify (- 0) into 0 179.318 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.319 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.319 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.319 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 179.319 * [taylor]: Taking taylor expansion of 2 in lambda2 179.319 * [backup-simplify]: Simplify 2 into 2 179.319 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 179.319 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.319 * [backup-simplify]: Simplify lambda1 into lambda1 179.319 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.319 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.319 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.319 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.320 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.320 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.320 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 179.320 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.320 * [backup-simplify]: Simplify 0 into 0 179.320 * [backup-simplify]: Simplify 1 into 1 179.321 * [backup-simplify]: Simplify (* 1 1) into 1 179.321 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.321 * [backup-simplify]: Simplify (+ 0) into 0 179.322 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.325 * [backup-simplify]: Simplify (+ 0 0) into 0 179.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.328 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.328 * [backup-simplify]: Simplify (- 0) into 0 179.328 * [backup-simplify]: Simplify (+ 0 0) into 0 179.329 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.331 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.331 * [backup-simplify]: Simplify (- 0) into 0 179.332 * [backup-simplify]: Simplify (+ 0 0) into 0 179.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.333 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.333 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.334 * [backup-simplify]: Simplify (+ 0 0) into 0 179.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.335 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.335 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.336 * [backup-simplify]: Simplify (- 0) into 0 179.336 * [backup-simplify]: Simplify (+ 0 0) into 0 179.336 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 179.338 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 179.339 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 179.339 * [backup-simplify]: Simplify (- 0) into 0 179.339 * [backup-simplify]: Simplify (+ 0 0) into 0 179.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 179.341 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 179.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 179.342 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 179.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 179.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.345 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 179.345 * [taylor]: Taking taylor expansion of 0 in phi1 179.345 * [backup-simplify]: Simplify 0 into 0 179.345 * [taylor]: Taking taylor expansion of 0 in phi2 179.345 * [backup-simplify]: Simplify 0 into 0 179.345 * [backup-simplify]: Simplify 0 into 0 179.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.346 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.347 * [backup-simplify]: Simplify (+ 0 0) into 0 179.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.348 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.348 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.348 * [backup-simplify]: Simplify (- 0) into 0 179.349 * [backup-simplify]: Simplify (+ 0 0) into 0 179.349 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 179.351 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 179.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 179.352 * [backup-simplify]: Simplify (- 0) into 0 179.352 * [backup-simplify]: Simplify (+ 0 0) into 0 179.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 179.353 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 179.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.355 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 179.355 * [taylor]: Taking taylor expansion of 0 in phi1 179.355 * [backup-simplify]: Simplify 0 into 0 179.355 * [taylor]: Taking taylor expansion of 0 in phi2 179.355 * [backup-simplify]: Simplify 0 into 0 179.355 * [backup-simplify]: Simplify 0 into 0 179.355 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 179.356 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 179.356 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 179.356 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2 179.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2 179.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2 179.356 * [taylor]: Taking taylor expansion of 1/3 in phi2 179.356 * [backup-simplify]: Simplify 1/3 into 1/3 179.356 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2 179.356 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 179.356 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 179.356 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 179.356 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 179.356 * [taylor]: Taking taylor expansion of -1/2 in phi2 179.356 * [backup-simplify]: Simplify -1/2 into -1/2 179.356 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 179.356 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 179.356 * [taylor]: Taking taylor expansion of phi1 in phi2 179.356 * [backup-simplify]: Simplify phi1 into phi1 179.356 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.356 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 179.356 * [taylor]: Taking taylor expansion of phi2 in phi2 179.356 * [backup-simplify]: Simplify 0 into 0 179.356 * [backup-simplify]: Simplify 1 into 1 179.356 * [backup-simplify]: Simplify (/ 1 1) into 1 179.357 * [backup-simplify]: Simplify (+ 0 1) into 1 179.357 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 179.357 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.357 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 179.357 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 179.357 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 179.357 * [taylor]: Taking taylor expansion of lambda2 in phi2 179.357 * [backup-simplify]: Simplify lambda2 into lambda2 179.357 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.357 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 179.357 * [taylor]: Taking taylor expansion of lambda1 in phi2 179.357 * [backup-simplify]: Simplify lambda1 into lambda1 179.357 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 179.357 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 179.357 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 179.358 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.358 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 179.358 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 179.358 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 179.358 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 179.358 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 179.358 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1 179.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1 179.358 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1 179.359 * [taylor]: Taking taylor expansion of 1/3 in phi1 179.359 * [backup-simplify]: Simplify 1/3 into 1/3 179.359 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1 179.359 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 179.359 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 179.359 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 179.359 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 179.359 * [taylor]: Taking taylor expansion of -1/2 in phi1 179.359 * [backup-simplify]: Simplify -1/2 into -1/2 179.359 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 179.359 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 179.359 * [taylor]: Taking taylor expansion of phi1 in phi1 179.359 * [backup-simplify]: Simplify 0 into 0 179.359 * [backup-simplify]: Simplify 1 into 1 179.359 * [backup-simplify]: Simplify (/ 1 1) into 1 179.359 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 179.359 * [taylor]: Taking taylor expansion of phi2 in phi1 179.359 * [backup-simplify]: Simplify phi2 into phi2 179.359 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.360 * [backup-simplify]: Simplify (+ 1 0) into 1 179.360 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 179.360 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.360 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 179.360 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 179.360 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 179.360 * [taylor]: Taking taylor expansion of lambda2 in phi1 179.360 * [backup-simplify]: Simplify lambda2 into lambda2 179.360 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.360 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 179.360 * [taylor]: Taking taylor expansion of lambda1 in phi1 179.360 * [backup-simplify]: Simplify lambda1 into lambda1 179.360 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 179.360 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 179.360 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 179.360 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.360 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 179.361 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 179.361 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 179.361 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 179.361 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 179.361 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2 179.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2 179.361 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2 179.361 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.361 * [backup-simplify]: Simplify 1/3 into 1/3 179.361 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2 179.361 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 179.361 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.361 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.361 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.361 * [taylor]: Taking taylor expansion of -1/2 in lambda2 179.361 * [backup-simplify]: Simplify -1/2 into -1/2 179.361 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.361 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.361 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.361 * [backup-simplify]: Simplify phi1 into phi1 179.362 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.362 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.362 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.362 * [backup-simplify]: Simplify phi2 into phi2 179.362 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.362 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.362 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.362 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.362 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.362 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.362 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.362 * [backup-simplify]: Simplify (- 0) into 0 179.362 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.362 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 179.362 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 179.362 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 179.362 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.363 * [backup-simplify]: Simplify 0 into 0 179.363 * [backup-simplify]: Simplify 1 into 1 179.363 * [backup-simplify]: Simplify (/ 1 1) into 1 179.363 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 179.363 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.363 * [backup-simplify]: Simplify lambda1 into lambda1 179.363 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 179.363 * [backup-simplify]: Simplify (+ 1 0) into 1 179.363 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.364 * [backup-simplify]: Simplify (* 1 1) into 1 179.364 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.364 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.365 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 179.365 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 179.365 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 179.365 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 179.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 179.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 179.365 * [taylor]: Taking taylor expansion of 1/3 in lambda1 179.365 * [backup-simplify]: Simplify 1/3 into 1/3 179.366 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 179.366 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 179.366 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 179.366 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 179.366 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 179.366 * [taylor]: Taking taylor expansion of -1/2 in lambda1 179.366 * [backup-simplify]: Simplify -1/2 into -1/2 179.366 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 179.366 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 179.366 * [taylor]: Taking taylor expansion of phi1 in lambda1 179.366 * [backup-simplify]: Simplify phi1 into phi1 179.366 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.366 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 179.366 * [taylor]: Taking taylor expansion of phi2 in lambda1 179.366 * [backup-simplify]: Simplify phi2 into phi2 179.366 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.366 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.366 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.366 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.367 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.367 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.367 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.367 * [backup-simplify]: Simplify (- 0) into 0 179.368 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.368 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 179.368 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 179.368 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 179.368 * [taylor]: Taking taylor expansion of lambda2 in lambda1 179.368 * [backup-simplify]: Simplify lambda2 into lambda2 179.368 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.368 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 179.368 * [taylor]: Taking taylor expansion of lambda1 in lambda1 179.368 * [backup-simplify]: Simplify 0 into 0 179.368 * [backup-simplify]: Simplify 1 into 1 179.368 * [backup-simplify]: Simplify (/ 1 1) into 1 179.369 * [backup-simplify]: Simplify (- 1) into -1 179.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 179.370 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.370 * [backup-simplify]: Simplify (* -1 -1) into 1 179.370 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.370 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.371 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.371 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.372 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.372 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 179.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 179.372 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 179.372 * [taylor]: Taking taylor expansion of 1/3 in lambda1 179.372 * [backup-simplify]: Simplify 1/3 into 1/3 179.372 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 179.372 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 179.372 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 179.372 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 179.372 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 179.372 * [taylor]: Taking taylor expansion of -1/2 in lambda1 179.372 * [backup-simplify]: Simplify -1/2 into -1/2 179.372 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 179.372 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 179.372 * [taylor]: Taking taylor expansion of phi1 in lambda1 179.372 * [backup-simplify]: Simplify phi1 into phi1 179.372 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.372 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 179.372 * [taylor]: Taking taylor expansion of phi2 in lambda1 179.372 * [backup-simplify]: Simplify phi2 into phi2 179.372 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.372 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.372 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.372 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.373 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.373 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.373 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.373 * [backup-simplify]: Simplify (- 0) into 0 179.373 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.373 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 179.373 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 179.374 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 179.374 * [taylor]: Taking taylor expansion of lambda2 in lambda1 179.374 * [backup-simplify]: Simplify lambda2 into lambda2 179.374 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 179.374 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 179.374 * [taylor]: Taking taylor expansion of lambda1 in lambda1 179.374 * [backup-simplify]: Simplify 0 into 0 179.374 * [backup-simplify]: Simplify 1 into 1 179.374 * [backup-simplify]: Simplify (/ 1 1) into 1 179.375 * [backup-simplify]: Simplify (- 1) into -1 179.375 * [backup-simplify]: Simplify (+ 0 -1) into -1 179.375 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.376 * [backup-simplify]: Simplify (* -1 -1) into 1 179.376 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.376 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.377 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.377 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.377 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 179.377 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 179.377 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.377 * [backup-simplify]: Simplify 1/3 into 1/3 179.378 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 179.378 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 179.378 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.378 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.378 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.378 * [taylor]: Taking taylor expansion of -1/2 in lambda2 179.378 * [backup-simplify]: Simplify -1/2 into -1/2 179.378 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.378 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.378 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.378 * [backup-simplify]: Simplify phi1 into phi1 179.378 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.378 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.378 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.378 * [backup-simplify]: Simplify phi2 into phi2 179.378 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.378 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.378 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.378 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.378 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.379 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.379 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.379 * [backup-simplify]: Simplify (- 0) into 0 179.379 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.380 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.380 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.380 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 179.380 * [taylor]: Taking taylor expansion of 2 in lambda2 179.380 * [backup-simplify]: Simplify 2 into 2 179.380 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 179.380 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.380 * [backup-simplify]: Simplify lambda1 into lambda1 179.380 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.380 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.380 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.380 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.381 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.381 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 179.381 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 179.381 * [taylor]: Taking taylor expansion of 1/3 in phi1 179.381 * [backup-simplify]: Simplify 1/3 into 1/3 179.381 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 179.381 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 179.381 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 179.381 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 179.381 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 179.381 * [taylor]: Taking taylor expansion of -1/2 in phi1 179.381 * [backup-simplify]: Simplify -1/2 into -1/2 179.381 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 179.381 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 179.381 * [taylor]: Taking taylor expansion of phi1 in phi1 179.381 * [backup-simplify]: Simplify 0 into 0 179.381 * [backup-simplify]: Simplify 1 into 1 179.382 * [backup-simplify]: Simplify (/ 1 1) into 1 179.382 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 179.382 * [taylor]: Taking taylor expansion of phi2 in phi1 179.382 * [backup-simplify]: Simplify phi2 into phi2 179.382 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.382 * [backup-simplify]: Simplify (+ 1 0) into 1 179.383 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 179.383 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.383 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.383 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.384 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1 179.384 * [taylor]: Taking taylor expansion of 2 in phi1 179.384 * [backup-simplify]: Simplify 2 into 2 179.384 * [taylor]: Taking taylor expansion of (log lambda1) in phi1 179.384 * [taylor]: Taking taylor expansion of lambda1 in phi1 179.384 * [backup-simplify]: Simplify lambda1 into lambda1 179.384 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.384 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.384 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.384 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.384 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.385 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 179.385 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 179.385 * [taylor]: Taking taylor expansion of 1/3 in phi2 179.385 * [backup-simplify]: Simplify 1/3 into 1/3 179.385 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 179.385 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 179.385 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 179.385 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 179.385 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 179.385 * [taylor]: Taking taylor expansion of -1/2 in phi2 179.385 * [backup-simplify]: Simplify -1/2 into -1/2 179.385 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 179.385 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 179.385 * [taylor]: Taking taylor expansion of phi1 in phi2 179.385 * [backup-simplify]: Simplify phi1 into phi1 179.385 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.385 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 179.385 * [taylor]: Taking taylor expansion of phi2 in phi2 179.385 * [backup-simplify]: Simplify 0 into 0 179.385 * [backup-simplify]: Simplify 1 into 1 179.386 * [backup-simplify]: Simplify (/ 1 1) into 1 179.386 * [backup-simplify]: Simplify (+ 0 1) into 1 179.387 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 179.387 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.387 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.387 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.387 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2 179.387 * [taylor]: Taking taylor expansion of 2 in phi2 179.387 * [backup-simplify]: Simplify 2 into 2 179.387 * [taylor]: Taking taylor expansion of (log lambda1) in phi2 179.387 * [taylor]: Taking taylor expansion of lambda1 in phi2 179.387 * [backup-simplify]: Simplify lambda1 into lambda1 179.387 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.387 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.387 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.388 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.388 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.388 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.388 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 179.390 * [backup-simplify]: Simplify (- 0) into 0 179.390 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 179.390 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 179.390 * [backup-simplify]: Simplify (+ 0) into 0 179.391 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.392 * [backup-simplify]: Simplify (+ 0 0) into 0 179.392 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.393 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.394 * [backup-simplify]: Simplify (- 0) into 0 179.394 * [backup-simplify]: Simplify (+ 0 0) into 0 179.394 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.395 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 179.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 179.396 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.397 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 179.397 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 179.397 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 179.397 * [taylor]: Taking taylor expansion of -2/3 in lambda2 179.397 * [backup-simplify]: Simplify -2/3 into -2/3 179.397 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 179.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 179.397 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 179.397 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.397 * [backup-simplify]: Simplify 1/3 into 1/3 179.397 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 179.398 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 179.398 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.398 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.398 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.398 * [taylor]: Taking taylor expansion of -1/2 in lambda2 179.398 * [backup-simplify]: Simplify -1/2 into -1/2 179.398 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.398 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.398 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.398 * [backup-simplify]: Simplify phi1 into phi1 179.398 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.398 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.398 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.398 * [backup-simplify]: Simplify phi2 into phi2 179.398 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.398 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.398 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.398 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.399 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.399 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.399 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.399 * [backup-simplify]: Simplify (- 0) into 0 179.400 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.400 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.400 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.400 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 179.400 * [taylor]: Taking taylor expansion of 2 in lambda2 179.400 * [backup-simplify]: Simplify 2 into 2 179.400 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 179.400 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.400 * [backup-simplify]: Simplify lambda1 into lambda1 179.400 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.400 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.400 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.401 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.401 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.401 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.401 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.401 * [backup-simplify]: Simplify 0 into 0 179.401 * [backup-simplify]: Simplify 1 into 1 179.402 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.402 * [backup-simplify]: Simplify (+ 0) into 0 179.403 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.403 * [backup-simplify]: Simplify (+ 0 0) into 0 179.404 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.405 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.406 * [backup-simplify]: Simplify (- 0) into 0 179.406 * [backup-simplify]: Simplify (+ 0 0) into 0 179.406 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.409 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.409 * [backup-simplify]: Simplify (- 0) into 0 179.409 * [backup-simplify]: Simplify (+ 0 0) into 0 179.410 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.411 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 179.413 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 179.413 * [taylor]: Taking taylor expansion of 0 in phi1 179.413 * [backup-simplify]: Simplify 0 into 0 179.413 * [taylor]: Taking taylor expansion of 0 in phi2 179.413 * [backup-simplify]: Simplify 0 into 0 179.413 * [backup-simplify]: Simplify 0 into 0 179.413 * [backup-simplify]: Simplify (+ 0) into 0 179.414 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.415 * [backup-simplify]: Simplify (+ 0 0) into 0 179.415 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.416 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.417 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.417 * [backup-simplify]: Simplify (- 0) into 0 179.417 * [backup-simplify]: Simplify (+ 0 0) into 0 179.418 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.420 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.420 * [backup-simplify]: Simplify (- 0) into 0 179.421 * [backup-simplify]: Simplify (+ 0 0) into 0 179.421 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.422 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.422 * [taylor]: Taking taylor expansion of 0 in phi1 179.422 * [backup-simplify]: Simplify 0 into 0 179.422 * [taylor]: Taking taylor expansion of 0 in phi2 179.422 * [backup-simplify]: Simplify 0 into 0 179.422 * [backup-simplify]: Simplify 0 into 0 179.423 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.425 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.425 * [backup-simplify]: Simplify (- 0) into 0 179.425 * [backup-simplify]: Simplify (+ 0 0) into 0 179.426 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.427 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.427 * [taylor]: Taking taylor expansion of 0 in phi2 179.427 * [backup-simplify]: Simplify 0 into 0 179.427 * [backup-simplify]: Simplify 0 into 0 179.428 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.430 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.430 * [backup-simplify]: Simplify (- 0) into 0 179.431 * [backup-simplify]: Simplify (+ 0 0) into 0 179.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.432 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.432 * [backup-simplify]: Simplify 0 into 0 179.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 179.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.434 * [backup-simplify]: Simplify (- 0) into 0 179.434 * [backup-simplify]: Simplify (+ 0 0) into 0 179.435 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 179.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.437 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.438 * [backup-simplify]: Simplify (+ 0 0) into 0 179.439 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.440 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.441 * [backup-simplify]: Simplify (- 0) into 0 179.441 * [backup-simplify]: Simplify (+ 0 0) into 0 179.442 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.443 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 179.444 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 179.444 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.445 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 179.445 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 179.446 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 179.446 * [taylor]: Taking taylor expansion of -1/9 in lambda2 179.446 * [backup-simplify]: Simplify -1/9 into -1/9 179.446 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 179.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 179.446 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 179.446 * [taylor]: Taking taylor expansion of 1/3 in lambda2 179.446 * [backup-simplify]: Simplify 1/3 into 1/3 179.446 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 179.446 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 179.446 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 179.446 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 179.446 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 179.446 * [taylor]: Taking taylor expansion of -1/2 in lambda2 179.446 * [backup-simplify]: Simplify -1/2 into -1/2 179.446 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 179.446 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 179.446 * [taylor]: Taking taylor expansion of phi1 in lambda2 179.446 * [backup-simplify]: Simplify phi1 into phi1 179.446 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 179.446 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 179.446 * [taylor]: Taking taylor expansion of phi2 in lambda2 179.446 * [backup-simplify]: Simplify phi2 into phi2 179.446 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 179.446 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 179.446 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 179.447 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.447 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.447 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.447 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 179.450 * [backup-simplify]: Simplify (- 0) into 0 179.450 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 179.450 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 179.450 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 179.450 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 179.450 * [taylor]: Taking taylor expansion of 2 in lambda2 179.450 * [backup-simplify]: Simplify 2 into 2 179.450 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2 179.450 * [taylor]: Taking taylor expansion of lambda1 in lambda2 179.450 * [backup-simplify]: Simplify lambda1 into lambda1 179.451 * [backup-simplify]: Simplify (log lambda1) into (log lambda1) 179.451 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 179.451 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 179.451 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 179.451 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 179.451 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.451 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2 179.452 * [taylor]: Taking taylor expansion of lambda2 in lambda2 179.452 * [backup-simplify]: Simplify 0 into 0 179.452 * [backup-simplify]: Simplify 1 into 1 179.452 * [backup-simplify]: Simplify (* 1 1) into 1 179.452 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 179.453 * [backup-simplify]: Simplify (+ 0) into 0 179.453 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 179.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 179.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 179.454 * [backup-simplify]: Simplify (+ 0 0) into 0 179.455 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 179.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 179.456 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 179.456 * [backup-simplify]: Simplify (- 0) into 0 179.456 * [backup-simplify]: Simplify (+ 0 0) into 0 179.457 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 179.457 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 179.458 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 179.458 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 179.458 * [backup-simplify]: Simplify (- 0) into 0 179.458 * [backup-simplify]: Simplify (+ 0 0) into 0 179.459 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 179.459 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.460 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.460 * [backup-simplify]: Simplify (+ 0 0) into 0 179.461 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.461 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.462 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.462 * [backup-simplify]: Simplify (- 0) into 0 179.462 * [backup-simplify]: Simplify (+ 0 0) into 0 179.463 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.464 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 179.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 179.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 179.466 * [backup-simplify]: Simplify (- 0) into 0 179.466 * [backup-simplify]: Simplify (+ 0 0) into 0 179.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 179.467 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 179.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 179.469 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 179.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 179.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 179.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.471 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 179.471 * [taylor]: Taking taylor expansion of 0 in phi1 179.471 * [backup-simplify]: Simplify 0 into 0 179.471 * [taylor]: Taking taylor expansion of 0 in phi2 179.471 * [backup-simplify]: Simplify 0 into 0 179.471 * [backup-simplify]: Simplify 0 into 0 179.472 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 179.472 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 179.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 179.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 179.473 * [backup-simplify]: Simplify (+ 0 0) into 0 179.473 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 179.474 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 179.474 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 179.474 * [backup-simplify]: Simplify (- 0) into 0 179.475 * [backup-simplify]: Simplify (+ 0 0) into 0 179.475 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 179.476 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 179.477 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 179.478 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 179.478 * [backup-simplify]: Simplify (- 0) into 0 179.478 * [backup-simplify]: Simplify (+ 0 0) into 0 179.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 179.480 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 179.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 179.481 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 179.481 * [taylor]: Taking taylor expansion of 0 in phi1 179.481 * [backup-simplify]: Simplify 0 into 0 179.481 * [taylor]: Taking taylor expansion of 0 in phi2 179.481 * [backup-simplify]: Simplify 0 into 0 179.481 * [backup-simplify]: Simplify 0 into 0 179.482 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 179.482 * * * [progress]: simplifying candidates 179.482 * * * * [progress]: [ 1 / 5906 ] simplifiying candidate # 179.482 * * * * [progress]: [ 2 / 5906 ] simplifiying candidate # 179.482 * * * * [progress]: [ 3 / 5906 ] simplifiying candidate # 179.482 * * * * [progress]: [ 4 / 5906 ] simplifiying candidate # 179.482 * * * * [progress]: [ 5 / 5906 ] simplifiying candidate # 179.482 * * * * [progress]: [ 6 / 5906 ] simplifiying candidate # 179.482 * * * * [progress]: [ 7 / 5906 ] simplifiying candidate # 179.483 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 179.483 * * [simplify]: iters left: 6 (20 enodes) 179.488 * * [simplify]: iters left: 5 (76 enodes) 179.501 * * [simplify]: iters left: 4 (127 enodes) 179.558 * * [simplify]: iters left: 3 (334 enodes) 179.718 * * [simplify]: Extracting #0: cost 1 inf + 0 179.718 * * [simplify]: Extracting #1: cost 4 inf + 0 179.719 * * [simplify]: Extracting #2: cost 7 inf + 0 179.719 * * [simplify]: Extracting #3: cost 24 inf + 0 179.719 * * [simplify]: Extracting #4: cost 150 inf + 0 179.719 * * [simplify]: Extracting #5: cost 212 inf + 46 179.720 * * [simplify]: Extracting #6: cost 214 inf + 1524 179.724 * * [simplify]: Extracting #7: cost 141 inf + 14917 179.737 * * [simplify]: Extracting #8: cost 12 inf + 56183 179.756 * * [simplify]: Extracting #9: cost 1 inf + 59986 179.783 * * [simplify]: Extracting #10: cost 0 inf + 60542 179.805 * [simplify]: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 179.805 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 179.806 * * * * [progress]: [ 8 / 5906 ] simplifiying candidate # 179.806 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) 179.806 * * [simplify]: iters left: 6 (19 enodes) 179.812 * * [simplify]: iters left: 5 (72 enodes) 179.825 * * [simplify]: iters left: 4 (123 enodes) 179.877 * * [simplify]: iters left: 3 (330 enodes) 180.023 * * [simplify]: Extracting #0: cost 1 inf + 0 180.023 * * [simplify]: Extracting #1: cost 3 inf + 0 180.023 * * [simplify]: Extracting #2: cost 5 inf + 0 180.023 * * [simplify]: Extracting #3: cost 21 inf + 0 180.023 * * [simplify]: Extracting #4: cost 149 inf + 0 180.024 * * [simplify]: Extracting #5: cost 213 inf + 46 180.025 * * [simplify]: Extracting #6: cost 217 inf + 1322 180.030 * * [simplify]: Extracting #7: cost 121 inf + 20900 180.042 * * [simplify]: Extracting #8: cost 13 inf + 55055 180.058 * * [simplify]: Extracting #9: cost 0 inf + 60652 180.082 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 180.082 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 180.082 * * * * [progress]: [ 9 / 5906 ] simplifiying candidate # 180.083 * [simplify]: Simplifying (sqrt 1) 180.083 * * [simplify]: iters left: 1 (2 enodes) 180.085 * * [simplify]: Extracting #0: cost 1 inf + 0 180.085 * * [simplify]: Extracting #1: cost 0 inf + 1 180.085 * [simplify]: Simplified to 1 180.085 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))) 180.085 * * * * [progress]: [ 10 / 5906 ] simplifiying candidate # 180.086 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 180.086 * * [simplify]: iters left: 6 (40 enodes) 180.098 * * [simplify]: iters left: 5 (189 enodes) 180.152 * * [simplify]: Extracting #0: cost 1 inf + 0 180.152 * * [simplify]: Extracting #1: cost 3 inf + 0 180.152 * * [simplify]: Extracting #2: cost 6 inf + 0 180.152 * * [simplify]: Extracting #3: cost 44 inf + 0 180.153 * * [simplify]: Extracting #4: cost 103 inf + 0 180.153 * * [simplify]: Extracting #5: cost 154 inf + 1 180.153 * * [simplify]: Extracting #6: cost 208 inf + 632 180.154 * * [simplify]: Extracting #7: cost 200 inf + 4043 180.158 * * [simplify]: Extracting #8: cost 107 inf + 27728 180.176 * * [simplify]: Extracting #9: cost 23 inf + 64138 180.194 * * [simplify]: Extracting #10: cost 2 inf + 79552 180.214 * * [simplify]: Extracting #11: cost 0 inf + 79852 180.239 * * [simplify]: Extracting #12: cost 0 inf + 79551 180.260 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 180.261 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 180.262 * * * * [progress]: [ 11 / 5906 ] simplifiying candidate # 180.263 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 180.263 * * [simplify]: iters left: 6 (41 enodes) 180.286 * * [simplify]: iters left: 5 (198 enodes) 180.376 * * [simplify]: Extracting #0: cost 1 inf + 0 180.376 * * [simplify]: Extracting #1: cost 3 inf + 0 180.376 * * [simplify]: Extracting #2: cost 6 inf + 0 180.376 * * [simplify]: Extracting #3: cost 48 inf + 0 180.376 * * [simplify]: Extracting #4: cost 126 inf + 0 180.377 * * [simplify]: Extracting #5: cost 168 inf + 45 180.380 * * [simplify]: Extracting #6: cost 208 inf + 2052 180.382 * * [simplify]: Extracting #7: cost 177 inf + 10874 180.386 * * [simplify]: Extracting #8: cost 107 inf + 30647 180.398 * * [simplify]: Extracting #9: cost 37 inf + 59040 180.416 * * [simplify]: Extracting #10: cost 18 inf + 72586 180.450 * * [simplify]: Extracting #11: cost 3 inf + 80988 180.483 * * [simplify]: Extracting #12: cost 0 inf + 81288 180.506 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) 180.506 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 180.507 * * * * [progress]: [ 12 / 5906 ] simplifiying candidate # 180.507 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 180.508 * * [simplify]: iters left: 6 (41 enodes) 180.520 * * [simplify]: iters left: 5 (198 enodes) 180.583 * * [simplify]: Extracting #0: cost 1 inf + 0 180.583 * * [simplify]: Extracting #1: cost 3 inf + 0 180.583 * * [simplify]: Extracting #2: cost 6 inf + 0 180.583 * * [simplify]: Extracting #3: cost 50 inf + 0 180.583 * * [simplify]: Extracting #4: cost 124 inf + 0 180.583 * * [simplify]: Extracting #5: cost 164 inf + 45 180.585 * * [simplify]: Extracting #6: cost 204 inf + 2482 180.588 * * [simplify]: Extracting #7: cost 170 inf + 11939 180.595 * * [simplify]: Extracting #8: cost 117 inf + 19457 180.609 * * [simplify]: Extracting #9: cost 57 inf + 44757 180.639 * * [simplify]: Extracting #10: cost 2 inf + 79635 180.661 * * [simplify]: Extracting #11: cost 0 inf + 79080 180.678 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 180.678 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 180.679 * * * * [progress]: [ 13 / 5906 ] simplifiying candidate # 180.679 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 180.679 * * [simplify]: iters left: 6 (35 enodes) 180.689 * * [simplify]: iters left: 5 (162 enodes) 180.735 * * [simplify]: iters left: 4 (440 enodes) 180.990 * * [simplify]: Extracting #0: cost 1 inf + 0 180.990 * * [simplify]: Extracting #1: cost 3 inf + 0 180.991 * * [simplify]: Extracting #2: cost 16 inf + 0 180.991 * * [simplify]: Extracting #3: cost 130 inf + 0 180.992 * * [simplify]: Extracting #4: cost 328 inf + 86 180.994 * * [simplify]: Extracting #5: cost 404 inf + 5935 180.998 * * [simplify]: Extracting #6: cost 452 inf + 17591 181.007 * * [simplify]: Extracting #7: cost 332 inf + 41472 181.035 * * [simplify]: Extracting #8: cost 166 inf + 108446 181.087 * * [simplify]: Extracting #9: cost 21 inf + 178355 181.150 * * [simplify]: Extracting #10: cost 0 inf + 187933 181.202 * * [simplify]: Extracting #11: cost 0 inf + 187893 181.248 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) 181.248 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 181.249 * * * * [progress]: [ 14 / 5906 ] simplifiying candidate # 181.249 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 181.250 * * [simplify]: iters left: 6 (40 enodes) 181.270 * * [simplify]: iters left: 5 (190 enodes) 181.357 * * [simplify]: iters left: 4 (494 enodes) 181.623 * * [simplify]: Extracting #0: cost 1 inf + 0 181.623 * * [simplify]: Extracting #1: cost 3 inf + 0 181.623 * * [simplify]: Extracting #2: cost 18 inf + 0 181.624 * * [simplify]: Extracting #3: cost 128 inf + 0 181.625 * * [simplify]: Extracting #4: cost 335 inf + 85 181.629 * * [simplify]: Extracting #5: cost 469 inf + 2271 181.638 * * [simplify]: Extracting #6: cost 488 inf + 23257 181.667 * * [simplify]: Extracting #7: cost 271 inf + 88055 181.731 * * [simplify]: Extracting #8: cost 93 inf + 162417 181.788 * * [simplify]: Extracting #9: cost 18 inf + 209821 181.869 * * [simplify]: Extracting #10: cost 0 inf + 223082 181.928 * * [simplify]: Extracting #11: cost 0 inf + 223042 182.005 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) 182.005 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 182.006 * * * * [progress]: [ 15 / 5906 ] simplifiying candidate # 182.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 182.007 * * [simplify]: iters left: 6 (35 enodes) 182.027 * * [simplify]: iters left: 5 (162 enodes) 182.095 * * [simplify]: iters left: 4 (421 enodes) 182.306 * * [simplify]: Extracting #0: cost 1 inf + 0 182.306 * * [simplify]: Extracting #1: cost 3 inf + 0 182.306 * * [simplify]: Extracting #2: cost 13 inf + 0 182.307 * * [simplify]: Extracting #3: cost 90 inf + 0 182.314 * * [simplify]: Extracting #4: cost 257 inf + 85 182.317 * * [simplify]: Extracting #5: cost 382 inf + 2530 182.323 * * [simplify]: Extracting #6: cost 442 inf + 11881 182.340 * * [simplify]: Extracting #7: cost 307 inf + 41637 182.359 * * [simplify]: Extracting #8: cost 146 inf + 96442 182.408 * * [simplify]: Extracting #9: cost 29 inf + 153174 182.477 * * [simplify]: Extracting #10: cost 1 inf + 168495 182.521 * * [simplify]: Extracting #11: cost 0 inf + 169360 182.590 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) 182.590 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 182.591 * * * * [progress]: [ 16 / 5906 ] simplifiying candidate # 182.591 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 182.592 * * [simplify]: iters left: 6 (40 enodes) 182.615 * * [simplify]: iters left: 5 (190 enodes) 182.689 * * [simplify]: iters left: 4 (494 enodes) 182.904 * * [simplify]: Extracting #0: cost 1 inf + 0 182.904 * * [simplify]: Extracting #1: cost 3 inf + 0 182.904 * * [simplify]: Extracting #2: cost 18 inf + 0 182.904 * * [simplify]: Extracting #3: cost 112 inf + 0 182.905 * * [simplify]: Extracting #4: cost 298 inf + 44 182.907 * * [simplify]: Extracting #5: cost 464 inf + 2168 182.911 * * [simplify]: Extracting #6: cost 516 inf + 14373 182.923 * * [simplify]: Extracting #7: cost 313 inf + 73993 182.956 * * [simplify]: Extracting #8: cost 81 inf + 177858 183.025 * * [simplify]: Extracting #9: cost 1 inf + 221033 183.099 * * [simplify]: Extracting #10: cost 0 inf + 221637 183.166 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 183.166 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 183.167 * * * * [progress]: [ 17 / 5906 ] simplifiying candidate # 183.167 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 183.167 * * [simplify]: iters left: 6 (35 enodes) 183.186 * * [simplify]: iters left: 5 (162 enodes) 183.259 * * [simplify]: iters left: 4 (421 enodes) 183.420 * * [simplify]: Extracting #0: cost 1 inf + 0 183.420 * * [simplify]: Extracting #1: cost 3 inf + 0 183.420 * * [simplify]: Extracting #2: cost 13 inf + 0 183.420 * * [simplify]: Extracting #3: cost 87 inf + 0 183.421 * * [simplify]: Extracting #4: cost 261 inf + 209 183.423 * * [simplify]: Extracting #5: cost 376 inf + 3988 183.426 * * [simplify]: Extracting #6: cost 450 inf + 10800 183.436 * * [simplify]: Extracting #7: cost 285 inf + 51049 183.460 * * [simplify]: Extracting #8: cost 98 inf + 124352 183.526 * * [simplify]: Extracting #9: cost 12 inf + 165106 183.597 * * [simplify]: Extracting #10: cost 0 inf + 170850 183.668 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) 183.668 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 183.669 * * * * [progress]: [ 18 / 5906 ] simplifiying candidate # 183.669 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 183.670 * * [simplify]: iters left: 6 (47 enodes) 183.698 * * [simplify]: iters left: 5 (231 enodes) 183.770 * * [simplify]: Extracting #0: cost 1 inf + 0 183.770 * * [simplify]: Extracting #1: cost 3 inf + 0 183.770 * * [simplify]: Extracting #2: cost 6 inf + 0 183.770 * * [simplify]: Extracting #3: cost 52 inf + 0 183.771 * * [simplify]: Extracting #4: cost 118 inf + 0 183.772 * * [simplify]: Extracting #5: cost 189 inf + 0 183.773 * * [simplify]: Extracting #6: cost 270 inf + 1136 183.776 * * [simplify]: Extracting #7: cost 238 inf + 9719 183.783 * * [simplify]: Extracting #8: cost 144 inf + 27155 183.803 * * [simplify]: Extracting #9: cost 82 inf + 47152 183.817 * * [simplify]: Extracting #10: cost 42 inf + 67451 183.836 * * [simplify]: Extracting #11: cost 7 inf + 99406 183.859 * * [simplify]: Extracting #12: cost 0 inf + 108141 183.883 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 183.883 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 183.884 * * * * [progress]: [ 19 / 5906 ] simplifiying candidate # 183.884 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 183.884 * * [simplify]: iters left: 6 (48 enodes) 183.899 * * [simplify]: iters left: 5 (240 enodes) 183.992 * * [simplify]: Extracting #0: cost 1 inf + 0 183.992 * * [simplify]: Extracting #1: cost 3 inf + 0 183.992 * * [simplify]: Extracting #2: cost 6 inf + 0 183.992 * * [simplify]: Extracting #3: cost 56 inf + 0 183.993 * * [simplify]: Extracting #4: cost 141 inf + 0 183.994 * * [simplify]: Extracting #5: cost 200 inf + 249 183.996 * * [simplify]: Extracting #6: cost 259 inf + 3288 184.001 * * [simplify]: Extracting #7: cost 230 inf + 11749 184.011 * * [simplify]: Extracting #8: cost 132 inf + 32416 184.035 * * [simplify]: Extracting #9: cost 56 inf + 63303 184.075 * * [simplify]: Extracting #10: cost 3 inf + 108003 184.106 * * [simplify]: Extracting #11: cost 0 inf + 111598 184.141 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 184.141 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 184.142 * * * * [progress]: [ 20 / 5906 ] simplifiying candidate # 184.142 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 184.142 * * [simplify]: iters left: 6 (48 enodes) 184.156 * * [simplify]: iters left: 5 (240 enodes) 184.236 * * [simplify]: Extracting #0: cost 1 inf + 0 184.236 * * [simplify]: Extracting #1: cost 3 inf + 0 184.236 * * [simplify]: Extracting #2: cost 6 inf + 0 184.236 * * [simplify]: Extracting #3: cost 58 inf + 0 184.236 * * [simplify]: Extracting #4: cost 139 inf + 0 184.237 * * [simplify]: Extracting #5: cost 196 inf + 169 184.238 * * [simplify]: Extracting #6: cost 253 inf + 4575 184.240 * * [simplify]: Extracting #7: cost 223 inf + 13340 184.246 * * [simplify]: Extracting #8: cost 141 inf + 29740 184.267 * * [simplify]: Extracting #9: cost 57 inf + 62606 184.308 * * [simplify]: Extracting #10: cost 8 inf + 100070 184.330 * * [simplify]: Extracting #11: cost 1 inf + 107445 184.367 * * [simplify]: Extracting #12: cost 0 inf + 109270 184.412 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 184.412 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 184.413 * * * * [progress]: [ 21 / 5906 ] simplifiying candidate # 184.413 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 184.414 * * [simplify]: iters left: 6 (42 enodes) 184.437 * * [simplify]: iters left: 5 (204 enodes) 184.508 * * [simplify]: Extracting #0: cost 1 inf + 0 184.508 * * [simplify]: Extracting #1: cost 3 inf + 0 184.508 * * [simplify]: Extracting #2: cost 6 inf + 0 184.508 * * [simplify]: Extracting #3: cost 50 inf + 0 184.508 * * [simplify]: Extracting #4: cost 107 inf + 0 184.509 * * [simplify]: Extracting #5: cost 147 inf + 44 184.509 * * [simplify]: Extracting #6: cost 215 inf + 1554 184.510 * * [simplify]: Extracting #7: cost 213 inf + 3307 184.516 * * [simplify]: Extracting #8: cost 141 inf + 21222 184.539 * * [simplify]: Extracting #9: cost 49 inf + 58569 184.557 * * [simplify]: Extracting #10: cost 9 inf + 83213 184.585 * * [simplify]: Extracting #11: cost 0 inf + 89249 184.613 * * [simplify]: Extracting #12: cost 0 inf + 87809 184.633 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 184.634 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 184.635 * * * * [progress]: [ 22 / 5906 ] simplifiying candidate # 184.635 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 184.636 * * [simplify]: iters left: 6 (47 enodes) 184.655 * * [simplify]: iters left: 5 (232 enodes) 184.736 * * [simplify]: Extracting #0: cost 1 inf + 0 184.736 * * [simplify]: Extracting #1: cost 3 inf + 0 184.736 * * [simplify]: Extracting #2: cost 10 inf + 0 184.736 * * [simplify]: Extracting #3: cost 70 inf + 0 184.737 * * [simplify]: Extracting #4: cost 124 inf + 42 184.737 * * [simplify]: Extracting #5: cost 166 inf + 331 184.738 * * [simplify]: Extracting #6: cost 236 inf + 2365 184.740 * * [simplify]: Extracting #7: cost 226 inf + 8449 184.743 * * [simplify]: Extracting #8: cost 153 inf + 25658 184.751 * * [simplify]: Extracting #9: cost 72 inf + 52530 184.770 * * [simplify]: Extracting #10: cost 14 inf + 93701 184.806 * * [simplify]: Extracting #11: cost 0 inf + 106660 184.853 * * [simplify]: Extracting #12: cost 0 inf + 105940 184.900 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 184.900 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 184.901 * * * * [progress]: [ 23 / 5906 ] simplifiying candidate # 184.902 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 184.902 * * [simplify]: iters left: 6 (42 enodes) 184.926 * * [simplify]: iters left: 5 (204 enodes) 185.015 * * [simplify]: Extracting #0: cost 1 inf + 0 185.015 * * [simplify]: Extracting #1: cost 3 inf + 0 185.015 * * [simplify]: Extracting #2: cost 10 inf + 0 185.016 * * [simplify]: Extracting #3: cost 62 inf + 0 185.016 * * [simplify]: Extracting #4: cost 104 inf + 86 185.017 * * [simplify]: Extracting #5: cost 129 inf + 1392 185.019 * * [simplify]: Extracting #6: cost 203 inf + 2932 185.021 * * [simplify]: Extracting #7: cost 210 inf + 3467 185.022 * * [simplify]: Extracting #8: cost 174 inf + 8336 185.027 * * [simplify]: Extracting #9: cost 102 inf + 27547 185.035 * * [simplify]: Extracting #10: cost 53 inf + 47219 185.051 * * [simplify]: Extracting #11: cost 12 inf + 76311 185.071 * * [simplify]: Extracting #12: cost 1 inf + 83994 185.107 * * [simplify]: Extracting #13: cost 0 inf + 85539 185.143 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 185.143 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 185.144 * * * * [progress]: [ 24 / 5906 ] simplifiying candidate # 185.145 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 185.145 * * [simplify]: iters left: 6 (47 enodes) 185.162 * * [simplify]: iters left: 5 (232 enodes) 185.246 * * [simplify]: Extracting #0: cost 1 inf + 0 185.246 * * [simplify]: Extracting #1: cost 3 inf + 0 185.247 * * [simplify]: Extracting #2: cost 10 inf + 0 185.247 * * [simplify]: Extracting #3: cost 70 inf + 0 185.247 * * [simplify]: Extracting #4: cost 124 inf + 42 185.248 * * [simplify]: Extracting #5: cost 166 inf + 332 185.250 * * [simplify]: Extracting #6: cost 231 inf + 3616 185.253 * * [simplify]: Extracting #7: cost 225 inf + 8731 185.258 * * [simplify]: Extracting #8: cost 155 inf + 25232 185.269 * * [simplify]: Extracting #9: cost 71 inf + 53374 185.291 * * [simplify]: Extracting #10: cost 14 inf + 94021 185.338 * * [simplify]: Extracting #11: cost 0 inf + 107620 185.384 * * [simplify]: Extracting #12: cost 0 inf + 106900 185.409 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 185.409 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 185.410 * * * * [progress]: [ 25 / 5906 ] simplifiying candidate # 185.410 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 185.411 * * [simplify]: iters left: 6 (42 enodes) 185.425 * * [simplify]: iters left: 5 (204 enodes) 185.504 * * [simplify]: Extracting #0: cost 1 inf + 0 185.504 * * [simplify]: Extracting #1: cost 3 inf + 0 185.504 * * [simplify]: Extracting #2: cost 10 inf + 0 185.504 * * [simplify]: Extracting #3: cost 61 inf + 0 185.504 * * [simplify]: Extracting #4: cost 105 inf + 44 185.505 * * [simplify]: Extracting #5: cost 133 inf + 1104 185.506 * * [simplify]: Extracting #6: cost 203 inf + 3012 185.507 * * [simplify]: Extracting #7: cost 211 inf + 3426 185.509 * * [simplify]: Extracting #8: cost 179 inf + 7369 185.513 * * [simplify]: Extracting #9: cost 103 inf + 27042 185.521 * * [simplify]: Extracting #10: cost 55 inf + 46133 185.538 * * [simplify]: Extracting #11: cost 10 inf + 78620 185.574 * * [simplify]: Extracting #12: cost 0 inf + 85779 185.611 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 185.611 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 185.612 * * * * [progress]: [ 26 / 5906 ] simplifiying candidate # 185.613 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 185.613 * * [simplify]: iters left: 6 (47 enodes) 185.639 * * [simplify]: iters left: 5 (230 enodes) 185.727 * * [simplify]: Extracting #0: cost 1 inf + 0 185.727 * * [simplify]: Extracting #1: cost 3 inf + 0 185.727 * * [simplify]: Extracting #2: cost 6 inf + 0 185.727 * * [simplify]: Extracting #3: cost 52 inf + 0 185.727 * * [simplify]: Extracting #4: cost 118 inf + 0 185.728 * * [simplify]: Extracting #5: cost 191 inf + 0 185.729 * * [simplify]: Extracting #6: cost 265 inf + 1138 185.730 * * [simplify]: Extracting #7: cost 234 inf + 9128 185.734 * * [simplify]: Extracting #8: cost 150 inf + 23350 185.740 * * [simplify]: Extracting #9: cost 108 inf + 36733 185.749 * * [simplify]: Extracting #10: cost 80 inf + 48845 185.766 * * [simplify]: Extracting #11: cost 38 inf + 69703 185.806 * * [simplify]: Extracting #12: cost 4 inf + 101633 185.845 * * [simplify]: Extracting #13: cost 0 inf + 107613 185.869 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 185.870 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 185.870 * * * * [progress]: [ 27 / 5906 ] simplifiying candidate # 185.871 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 185.871 * * [simplify]: iters left: 6 (48 enodes) 185.891 * * [simplify]: iters left: 5 (239 enodes) 185.988 * * [simplify]: Extracting #0: cost 1 inf + 0 185.988 * * [simplify]: Extracting #1: cost 3 inf + 0 185.988 * * [simplify]: Extracting #2: cost 6 inf + 0 185.988 * * [simplify]: Extracting #3: cost 56 inf + 0 185.989 * * [simplify]: Extracting #4: cost 141 inf + 0 185.989 * * [simplify]: Extracting #5: cost 201 inf + 289 185.990 * * [simplify]: Extracting #6: cost 252 inf + 4067 185.993 * * [simplify]: Extracting #7: cost 226 inf + 10668 185.999 * * [simplify]: Extracting #8: cost 129 inf + 31978 186.020 * * [simplify]: Extracting #9: cost 57 inf + 62315 186.051 * * [simplify]: Extracting #10: cost 11 inf + 103382 186.079 * * [simplify]: Extracting #11: cost 0 inf + 113550 186.130 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 186.130 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 186.132 * * * * [progress]: [ 28 / 5906 ] simplifiying candidate # 186.132 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 186.133 * * [simplify]: iters left: 6 (48 enodes) 186.159 * * [simplify]: iters left: 5 (239 enodes) 186.245 * * [simplify]: Extracting #0: cost 1 inf + 0 186.245 * * [simplify]: Extracting #1: cost 3 inf + 0 186.245 * * [simplify]: Extracting #2: cost 6 inf + 0 186.245 * * [simplify]: Extracting #3: cost 58 inf + 0 186.245 * * [simplify]: Extracting #4: cost 139 inf + 0 186.246 * * [simplify]: Extracting #5: cost 197 inf + 210 186.249 * * [simplify]: Extracting #6: cost 246 inf + 3713 186.253 * * [simplify]: Extracting #7: cost 223 inf + 11218 186.263 * * [simplify]: Extracting #8: cost 127 inf + 33864 186.283 * * [simplify]: Extracting #9: cost 55 inf + 61656 186.319 * * [simplify]: Extracting #10: cost 10 inf + 99277 186.364 * * [simplify]: Extracting #11: cost 0 inf + 108342 186.412 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))))) 186.412 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 186.413 * * * * [progress]: [ 29 / 5906 ] simplifiying candidate # 186.414 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 186.414 * * [simplify]: iters left: 6 (42 enodes) 186.440 * * [simplify]: iters left: 5 (203 enodes) 186.527 * * [simplify]: Extracting #0: cost 1 inf + 0 186.527 * * [simplify]: Extracting #1: cost 3 inf + 0 186.527 * * [simplify]: Extracting #2: cost 6 inf + 0 186.527 * * [simplify]: Extracting #3: cost 50 inf + 0 186.528 * * [simplify]: Extracting #4: cost 107 inf + 0 186.528 * * [simplify]: Extracting #5: cost 149 inf + 44 186.530 * * [simplify]: Extracting #6: cost 210 inf + 1557 186.532 * * [simplify]: Extracting #7: cost 210 inf + 3305 186.536 * * [simplify]: Extracting #8: cost 166 inf + 9312 186.545 * * [simplify]: Extracting #9: cost 103 inf + 28214 186.574 * * [simplify]: Extracting #10: cost 8 inf + 82769 186.613 * * [simplify]: Extracting #11: cost 0 inf + 87561 186.648 * * [simplify]: Extracting #12: cost 0 inf + 87041 186.681 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 186.681 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 186.682 * * * * [progress]: [ 30 / 5906 ] simplifiying candidate # 186.682 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 186.683 * * [simplify]: iters left: 6 (47 enodes) 186.706 * * [simplify]: iters left: 5 (231 enodes) 186.787 * * [simplify]: Extracting #0: cost 1 inf + 0 186.787 * * [simplify]: Extracting #1: cost 3 inf + 0 186.787 * * [simplify]: Extracting #2: cost 10 inf + 0 186.788 * * [simplify]: Extracting #3: cost 70 inf + 0 186.788 * * [simplify]: Extracting #4: cost 124 inf + 42 186.788 * * [simplify]: Extracting #5: cost 169 inf + 290 186.789 * * [simplify]: Extracting #6: cost 233 inf + 2323 186.791 * * [simplify]: Extracting #7: cost 222 inf + 8137 186.795 * * [simplify]: Extracting #8: cost 142 inf + 23747 186.803 * * [simplify]: Extracting #9: cost 86 inf + 45262 186.815 * * [simplify]: Extracting #10: cost 36 inf + 69234 186.838 * * [simplify]: Extracting #11: cost 7 inf + 93317 186.886 * * [simplify]: Extracting #12: cost 0 inf + 101972 186.931 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 186.931 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 186.932 * * * * [progress]: [ 31 / 5906 ] simplifiying candidate # 186.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 186.933 * * [simplify]: iters left: 6 (42 enodes) 186.948 * * [simplify]: iters left: 5 (203 enodes) 187.015 * * [simplify]: Extracting #0: cost 1 inf + 0 187.015 * * [simplify]: Extracting #1: cost 3 inf + 0 187.015 * * [simplify]: Extracting #2: cost 10 inf + 0 187.016 * * [simplify]: Extracting #3: cost 62 inf + 0 187.016 * * [simplify]: Extracting #4: cost 104 inf + 86 187.017 * * [simplify]: Extracting #5: cost 129 inf + 1716 187.019 * * [simplify]: Extracting #6: cost 199 inf + 2932 187.021 * * [simplify]: Extracting #7: cost 208 inf + 3344 187.027 * * [simplify]: Extracting #8: cost 154 inf + 16712 187.041 * * [simplify]: Extracting #9: cost 69 inf + 43229 187.067 * * [simplify]: Extracting #10: cost 29 inf + 67396 187.100 * * [simplify]: Extracting #11: cost 8 inf + 78722 187.136 * * [simplify]: Extracting #12: cost 0 inf + 84171 187.154 * * [simplify]: Extracting #13: cost 0 inf + 84131 187.179 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 187.179 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 187.180 * * * * [progress]: [ 32 / 5906 ] simplifiying candidate # 187.181 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 187.181 * * [simplify]: iters left: 6 (47 enodes) 187.207 * * [simplify]: iters left: 5 (231 enodes) 187.310 * * [simplify]: Extracting #0: cost 1 inf + 0 187.310 * * [simplify]: Extracting #1: cost 3 inf + 0 187.311 * * [simplify]: Extracting #2: cost 10 inf + 0 187.311 * * [simplify]: Extracting #3: cost 70 inf + 0 187.311 * * [simplify]: Extracting #4: cost 124 inf + 42 187.312 * * [simplify]: Extracting #5: cost 168 inf + 332 187.315 * * [simplify]: Extracting #6: cost 229 inf + 3292 187.318 * * [simplify]: Extracting #7: cost 221 inf + 8389 187.329 * * [simplify]: Extracting #8: cost 142 inf + 24220 187.345 * * [simplify]: Extracting #9: cost 88 inf + 45253 187.370 * * [simplify]: Extracting #10: cost 36 inf + 70034 187.390 * * [simplify]: Extracting #11: cost 7 inf + 94117 187.419 * * [simplify]: Extracting #12: cost 0 inf + 102772 187.460 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 187.460 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 187.462 * * * * [progress]: [ 33 / 5906 ] simplifiying candidate # 187.462 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 187.463 * * [simplify]: iters left: 6 (42 enodes) 187.485 * * [simplify]: iters left: 5 (203 enodes) 187.549 * * [simplify]: Extracting #0: cost 1 inf + 0 187.549 * * [simplify]: Extracting #1: cost 3 inf + 0 187.549 * * [simplify]: Extracting #2: cost 10 inf + 0 187.549 * * [simplify]: Extracting #3: cost 61 inf + 0 187.549 * * [simplify]: Extracting #4: cost 105 inf + 44 187.550 * * [simplify]: Extracting #5: cost 136 inf + 942 187.552 * * [simplify]: Extracting #6: cost 199 inf + 2932 187.554 * * [simplify]: Extracting #7: cost 208 inf + 3344 187.560 * * [simplify]: Extracting #8: cost 151 inf + 16756 187.574 * * [simplify]: Extracting #9: cost 68 inf + 42791 187.599 * * [simplify]: Extracting #10: cost 28 inf + 66861 187.636 * * [simplify]: Extracting #11: cost 5 inf + 80373 187.670 * * [simplify]: Extracting #12: cost 0 inf + 84371 187.705 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 187.706 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 187.707 * * * * [progress]: [ 34 / 5906 ] simplifiying candidate # 187.707 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 187.708 * * [simplify]: iters left: 6 (47 enodes) 187.733 * * [simplify]: iters left: 5 (231 enodes) 187.845 * * [simplify]: Extracting #0: cost 1 inf + 0 187.845 * * [simplify]: Extracting #1: cost 3 inf + 0 187.845 * * [simplify]: Extracting #2: cost 6 inf + 0 187.845 * * [simplify]: Extracting #3: cost 52 inf + 0 187.846 * * [simplify]: Extracting #4: cost 118 inf + 0 187.847 * * [simplify]: Extracting #5: cost 187 inf + 0 187.848 * * [simplify]: Extracting #6: cost 263 inf + 805 187.851 * * [simplify]: Extracting #7: cost 224 inf + 8206 187.859 * * [simplify]: Extracting #8: cost 142 inf + 24667 187.875 * * [simplify]: Extracting #9: cost 80 inf + 48421 187.891 * * [simplify]: Extracting #10: cost 42 inf + 64995 187.909 * * [simplify]: Extracting #11: cost 9 inf + 94540 187.947 * * [simplify]: Extracting #12: cost 0 inf + 104285 187.981 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 187.981 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 187.982 * * * * [progress]: [ 35 / 5906 ] simplifiying candidate # 187.982 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 187.983 * * [simplify]: iters left: 6 (48 enodes) 187.996 * * [simplify]: iters left: 5 (240 enodes) 188.077 * * [simplify]: Extracting #0: cost 1 inf + 0 188.077 * * [simplify]: Extracting #1: cost 3 inf + 0 188.077 * * [simplify]: Extracting #2: cost 6 inf + 0 188.078 * * [simplify]: Extracting #3: cost 56 inf + 0 188.078 * * [simplify]: Extracting #4: cost 141 inf + 0 188.079 * * [simplify]: Extracting #5: cost 195 inf + 493 188.083 * * [simplify]: Extracting #6: cost 231 inf + 6980 188.089 * * [simplify]: Extracting #7: cost 204 inf + 15162 188.097 * * [simplify]: Extracting #8: cost 146 inf + 24075 188.112 * * [simplify]: Extracting #9: cost 92 inf + 45752 188.130 * * [simplify]: Extracting #10: cost 42 inf + 68654 188.149 * * [simplify]: Extracting #11: cost 6 inf + 101072 188.172 * * [simplify]: Extracting #12: cost 0 inf + 108582 188.210 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) 188.210 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 188.211 * * * * [progress]: [ 36 / 5906 ] simplifiying candidate # 188.212 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 188.212 * * [simplify]: iters left: 6 (48 enodes) 188.239 * * [simplify]: iters left: 5 (240 enodes) 188.353 * * [simplify]: Extracting #0: cost 1 inf + 0 188.353 * * [simplify]: Extracting #1: cost 3 inf + 0 188.353 * * [simplify]: Extracting #2: cost 6 inf + 0 188.353 * * [simplify]: Extracting #3: cost 58 inf + 0 188.353 * * [simplify]: Extracting #4: cost 139 inf + 0 188.354 * * [simplify]: Extracting #5: cost 193 inf + 290 188.355 * * [simplify]: Extracting #6: cost 235 inf + 5086 188.357 * * [simplify]: Extracting #7: cost 215 inf + 11470 188.361 * * [simplify]: Extracting #8: cost 153 inf + 23689 188.369 * * [simplify]: Extracting #9: cost 87 inf + 47156 188.384 * * [simplify]: Extracting #10: cost 43 inf + 66301 188.419 * * [simplify]: Extracting #11: cost 10 inf + 93164 188.453 * * [simplify]: Extracting #12: cost 0 inf + 103454 188.475 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) 188.475 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 188.476 * * * * [progress]: [ 37 / 5906 ] simplifiying candidate # 188.476 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 188.476 * * [simplify]: iters left: 6 (42 enodes) 188.497 * * [simplify]: iters left: 5 (204 enodes) 188.560 * * [simplify]: Extracting #0: cost 1 inf + 0 188.560 * * [simplify]: Extracting #1: cost 3 inf + 0 188.560 * * [simplify]: Extracting #2: cost 6 inf + 0 188.560 * * [simplify]: Extracting #3: cost 50 inf + 0 188.561 * * [simplify]: Extracting #4: cost 107 inf + 0 188.561 * * [simplify]: Extracting #5: cost 144 inf + 85 188.563 * * [simplify]: Extracting #6: cost 207 inf + 1353 188.565 * * [simplify]: Extracting #7: cost 201 inf + 3548 188.570 * * [simplify]: Extracting #8: cost 140 inf + 14232 188.582 * * [simplify]: Extracting #9: cost 87 inf + 34309 188.602 * * [simplify]: Extracting #10: cost 33 inf + 57554 188.617 * * [simplify]: Extracting #11: cost 7 inf + 76258 188.638 * * [simplify]: Extracting #12: cost 1 inf + 82048 188.656 * * [simplify]: Extracting #13: cost 0 inf + 83593 188.679 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 188.679 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 188.680 * * * * [progress]: [ 38 / 5906 ] simplifiying candidate # 188.681 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 188.681 * * [simplify]: iters left: 6 (47 enodes) 188.704 * * [simplify]: iters left: 5 (232 enodes) 188.775 * * [simplify]: Extracting #0: cost 1 inf + 0 188.775 * * [simplify]: Extracting #1: cost 3 inf + 0 188.775 * * [simplify]: Extracting #2: cost 10 inf + 0 188.775 * * [simplify]: Extracting #3: cost 70 inf + 0 188.775 * * [simplify]: Extracting #4: cost 124 inf + 42 188.776 * * [simplify]: Extracting #5: cost 165 inf + 290 188.776 * * [simplify]: Extracting #6: cost 229 inf + 2162 188.778 * * [simplify]: Extracting #7: cost 203 inf + 9382 188.782 * * [simplify]: Extracting #8: cost 142 inf + 21689 188.789 * * [simplify]: Extracting #9: cost 82 inf + 45058 188.800 * * [simplify]: Extracting #10: cost 40 inf + 63804 188.824 * * [simplify]: Extracting #11: cost 5 inf + 93559 188.845 * * [simplify]: Extracting #12: cost 1 inf + 98579 188.875 * * [simplify]: Extracting #13: cost 0 inf + 100364 188.910 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 188.910 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 188.911 * * * * [progress]: [ 39 / 5906 ] simplifiying candidate # 188.912 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 188.912 * * [simplify]: iters left: 6 (42 enodes) 188.931 * * [simplify]: iters left: 5 (204 enodes) 189.000 * * [simplify]: Extracting #0: cost 1 inf + 0 189.000 * * [simplify]: Extracting #1: cost 3 inf + 0 189.000 * * [simplify]: Extracting #2: cost 10 inf + 0 189.000 * * [simplify]: Extracting #3: cost 62 inf + 0 189.001 * * [simplify]: Extracting #4: cost 104 inf + 86 189.002 * * [simplify]: Extracting #5: cost 133 inf + 661 189.004 * * [simplify]: Extracting #6: cost 197 inf + 2608 189.006 * * [simplify]: Extracting #7: cost 202 inf + 3382 189.012 * * [simplify]: Extracting #8: cost 140 inf + 16505 189.025 * * [simplify]: Extracting #9: cost 68 inf + 39840 189.037 * * [simplify]: Extracting #10: cost 37 inf + 55057 189.052 * * [simplify]: Extracting #11: cost 8 inf + 73769 189.077 * * [simplify]: Extracting #12: cost 0 inf + 80683 189.111 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 189.111 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 189.112 * * * * [progress]: [ 40 / 5906 ] simplifiying candidate # 189.112 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 189.112 * * [simplify]: iters left: 6 (47 enodes) 189.126 * * [simplify]: iters left: 5 (232 enodes) 189.229 * * [simplify]: Extracting #0: cost 1 inf + 0 189.229 * * [simplify]: Extracting #1: cost 3 inf + 0 189.229 * * [simplify]: Extracting #2: cost 10 inf + 0 189.229 * * [simplify]: Extracting #3: cost 70 inf + 0 189.230 * * [simplify]: Extracting #4: cost 124 inf + 42 189.231 * * [simplify]: Extracting #5: cost 164 inf + 332 189.233 * * [simplify]: Extracting #6: cost 224 inf + 3333 189.236 * * [simplify]: Extracting #7: cost 201 inf + 9625 189.243 * * [simplify]: Extracting #8: cost 143 inf + 21386 189.257 * * [simplify]: Extracting #9: cost 82 inf + 44777 189.274 * * [simplify]: Extracting #10: cost 40 inf + 64764 189.301 * * [simplify]: Extracting #11: cost 5 inf + 94519 189.341 * * [simplify]: Extracting #12: cost 1 inf + 99539 189.382 * * [simplify]: Extracting #13: cost 0 inf + 101324 189.414 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 189.414 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 189.415 * * * * [progress]: [ 41 / 5906 ] simplifiying candidate # 189.415 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 189.415 * * [simplify]: iters left: 6 (42 enodes) 189.428 * * [simplify]: iters left: 5 (204 enodes) 189.514 * * [simplify]: Extracting #0: cost 1 inf + 0 189.514 * * [simplify]: Extracting #1: cost 3 inf + 0 189.514 * * [simplify]: Extracting #2: cost 10 inf + 0 189.514 * * [simplify]: Extracting #3: cost 61 inf + 0 189.515 * * [simplify]: Extracting #4: cost 105 inf + 44 189.516 * * [simplify]: Extracting #5: cost 132 inf + 862 189.518 * * [simplify]: Extracting #6: cost 195 inf + 3012 189.520 * * [simplify]: Extracting #7: cost 203 inf + 3180 189.527 * * [simplify]: Extracting #8: cost 142 inf + 16525 189.544 * * [simplify]: Extracting #9: cost 67 inf + 40052 189.564 * * [simplify]: Extracting #10: cost 35 inf + 55983 189.579 * * [simplify]: Extracting #11: cost 8 inf + 74009 189.599 * * [simplify]: Extracting #12: cost 0 inf + 81083 189.631 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 189.631 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 189.632 * * * * [progress]: [ 42 / 5906 ] simplifiying candidate # 189.633 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 189.633 * * [simplify]: iters left: 6 (45 enodes) 189.658 * * [simplify]: iters left: 5 (215 enodes) 189.742 * * [simplify]: Extracting #0: cost 1 inf + 0 189.742 * * [simplify]: Extracting #1: cost 3 inf + 0 189.742 * * [simplify]: Extracting #2: cost 6 inf + 0 189.742 * * [simplify]: Extracting #3: cost 52 inf + 0 189.742 * * [simplify]: Extracting #4: cost 118 inf + 0 189.743 * * [simplify]: Extracting #5: cost 185 inf + 0 189.744 * * [simplify]: Extracting #6: cost 249 inf + 250 189.745 * * [simplify]: Extracting #7: cost 220 inf + 6473 189.748 * * [simplify]: Extracting #8: cost 138 inf + 23319 189.757 * * [simplify]: Extracting #9: cost 86 inf + 42640 189.788 * * [simplify]: Extracting #10: cost 19 inf + 86515 189.813 * * [simplify]: Extracting #11: cost 0 inf + 102014 189.850 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 189.850 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 189.851 * * * * [progress]: [ 43 / 5906 ] simplifiying candidate # 189.852 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 189.852 * * [simplify]: iters left: 6 (46 enodes) 189.875 * * [simplify]: iters left: 5 (224 enodes) 189.931 * * [simplify]: Extracting #0: cost 1 inf + 0 189.931 * * [simplify]: Extracting #1: cost 3 inf + 0 189.931 * * [simplify]: Extracting #2: cost 6 inf + 0 189.931 * * [simplify]: Extracting #3: cost 56 inf + 0 189.932 * * [simplify]: Extracting #4: cost 141 inf + 0 189.932 * * [simplify]: Extracting #5: cost 198 inf + 126 189.935 * * [simplify]: Extracting #6: cost 236 inf + 6011 189.939 * * [simplify]: Extracting #7: cost 198 inf + 14454 189.946 * * [simplify]: Extracting #8: cost 145 inf + 23348 189.960 * * [simplify]: Extracting #9: cost 84 inf + 44654 189.972 * * [simplify]: Extracting #10: cost 35 inf + 70436 189.991 * * [simplify]: Extracting #11: cost 3 inf + 100596 190.021 * * [simplify]: Extracting #12: cost 0 inf + 105071 190.062 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 190.062 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 190.063 * * * * [progress]: [ 44 / 5906 ] simplifiying candidate # 190.064 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 190.065 * * [simplify]: iters left: 6 (46 enodes) 190.085 * * [simplify]: iters left: 5 (224 enodes) 190.166 * * [simplify]: Extracting #0: cost 1 inf + 0 190.166 * * [simplify]: Extracting #1: cost 3 inf + 0 190.166 * * [simplify]: Extracting #2: cost 6 inf + 0 190.166 * * [simplify]: Extracting #3: cost 58 inf + 0 190.167 * * [simplify]: Extracting #4: cost 139 inf + 0 190.168 * * [simplify]: Extracting #5: cost 194 inf + 126 190.169 * * [simplify]: Extracting #6: cost 232 inf + 5522 190.173 * * [simplify]: Extracting #7: cost 197 inf + 15113 190.177 * * [simplify]: Extracting #8: cost 130 inf + 27936 190.188 * * [simplify]: Extracting #9: cost 68 inf + 49796 190.215 * * [simplify]: Extracting #10: cost 12 inf + 93655 190.245 * * [simplify]: Extracting #11: cost 0 inf + 102823 190.272 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 190.272 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 190.273 * * * * [progress]: [ 45 / 5906 ] simplifiying candidate # 190.274 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 190.274 * * [simplify]: iters left: 6 (40 enodes) 190.286 * * [simplify]: iters left: 5 (188 enodes) 190.351 * * [simplify]: Extracting #0: cost 1 inf + 0 190.351 * * [simplify]: Extracting #1: cost 3 inf + 0 190.351 * * [simplify]: Extracting #2: cost 6 inf + 0 190.351 * * [simplify]: Extracting #3: cost 50 inf + 0 190.352 * * [simplify]: Extracting #4: cost 107 inf + 0 190.352 * * [simplify]: Extracting #5: cost 143 inf + 44 190.354 * * [simplify]: Extracting #6: cost 186 inf + 2005 190.356 * * [simplify]: Extracting #7: cost 184 inf + 3307 190.361 * * [simplify]: Extracting #8: cost 131 inf + 15450 190.373 * * [simplify]: Extracting #9: cost 69 inf + 36557 190.391 * * [simplify]: Extracting #10: cost 19 inf + 64657 190.407 * * [simplify]: Extracting #11: cost 2 inf + 78392 190.435 * * [simplify]: Extracting #12: cost 0 inf + 81402 190.471 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 190.471 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 190.472 * * * * [progress]: [ 46 / 5906 ] simplifiying candidate # 190.472 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 190.473 * * [simplify]: iters left: 6 (45 enodes) 190.496 * * [simplify]: iters left: 5 (216 enodes) 190.589 * * [simplify]: Extracting #0: cost 1 inf + 0 190.589 * * [simplify]: Extracting #1: cost 3 inf + 0 190.589 * * [simplify]: Extracting #2: cost 10 inf + 0 190.589 * * [simplify]: Extracting #3: cost 70 inf + 0 190.590 * * [simplify]: Extracting #4: cost 125 inf + 1 190.591 * * [simplify]: Extracting #5: cost 164 inf + 289 190.592 * * [simplify]: Extracting #6: cost 224 inf + 1076 190.595 * * [simplify]: Extracting #7: cost 202 inf + 7099 190.600 * * [simplify]: Extracting #8: cost 136 inf + 19231 190.610 * * [simplify]: Extracting #9: cost 64 inf + 45780 190.620 * * [simplify]: Extracting #10: cost 36 inf + 61833 190.643 * * [simplify]: Extracting #11: cost 5 inf + 90288 190.680 * * [simplify]: Extracting #12: cost 0 inf + 96093 190.717 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 190.718 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 190.719 * * * * [progress]: [ 47 / 5906 ] simplifiying candidate # 190.719 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 190.720 * * [simplify]: iters left: 6 (40 enodes) 190.741 * * [simplify]: iters left: 5 (188 enodes) 190.800 * * [simplify]: Extracting #0: cost 1 inf + 0 190.800 * * [simplify]: Extracting #1: cost 3 inf + 0 190.800 * * [simplify]: Extracting #2: cost 10 inf + 0 190.800 * * [simplify]: Extracting #3: cost 62 inf + 0 190.801 * * [simplify]: Extracting #4: cost 104 inf + 86 190.802 * * [simplify]: Extracting #5: cost 127 inf + 1229 190.803 * * [simplify]: Extracting #6: cost 179 inf + 2932 190.805 * * [simplify]: Extracting #7: cost 181 inf + 3387 190.808 * * [simplify]: Extracting #8: cost 109 inf + 21634 190.815 * * [simplify]: Extracting #9: cost 54 inf + 43644 190.828 * * [simplify]: Extracting #10: cost 14 inf + 67029 190.850 * * [simplify]: Extracting #11: cost 0 inf + 78132 190.869 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 190.869 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 190.870 * * * * [progress]: [ 48 / 5906 ] simplifiying candidate # 190.870 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 190.871 * * [simplify]: iters left: 6 (45 enodes) 190.886 * * [simplify]: iters left: 5 (216 enodes) 190.956 * * [simplify]: Extracting #0: cost 1 inf + 0 190.956 * * [simplify]: Extracting #1: cost 3 inf + 0 190.956 * * [simplify]: Extracting #2: cost 10 inf + 0 190.957 * * [simplify]: Extracting #3: cost 70 inf + 0 190.957 * * [simplify]: Extracting #4: cost 125 inf + 1 190.958 * * [simplify]: Extracting #5: cost 164 inf + 289 190.960 * * [simplify]: Extracting #6: cost 220 inf + 2147 190.963 * * [simplify]: Extracting #7: cost 196 inf + 8934 190.968 * * [simplify]: Extracting #8: cost 132 inf + 21590 190.987 * * [simplify]: Extracting #9: cost 61 inf + 48274 191.007 * * [simplify]: Extracting #10: cost 36 inf + 62793 191.039 * * [simplify]: Extracting #11: cost 5 inf + 91248 191.076 * * [simplify]: Extracting #12: cost 0 inf + 97053 191.100 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 191.101 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 191.101 * * * * [progress]: [ 49 / 5906 ] simplifiying candidate # 191.101 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 191.102 * * [simplify]: iters left: 6 (40 enodes) 191.113 * * [simplify]: iters left: 5 (188 enodes) 191.181 * * [simplify]: Extracting #0: cost 1 inf + 0 191.181 * * [simplify]: Extracting #1: cost 3 inf + 0 191.181 * * [simplify]: Extracting #2: cost 10 inf + 0 191.181 * * [simplify]: Extracting #3: cost 61 inf + 0 191.181 * * [simplify]: Extracting #4: cost 104 inf + 86 191.182 * * [simplify]: Extracting #5: cost 121 inf + 2160 191.183 * * [simplify]: Extracting #6: cost 179 inf + 2932 191.184 * * [simplify]: Extracting #7: cost 182 inf + 3346 191.187 * * [simplify]: Extracting #8: cost 115 inf + 20761 191.195 * * [simplify]: Extracting #9: cost 49 inf + 47769 191.217 * * [simplify]: Extracting #10: cost 13 inf + 68145 191.233 * * [simplify]: Extracting #11: cost 0 inf + 78372 191.255 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 191.255 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 191.256 * * * * [progress]: [ 50 / 5906 ] simplifiying candidate # 191.256 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 191.257 * * [simplify]: iters left: 6 (48 enodes) 191.285 * * [simplify]: iters left: 5 (229 enodes) 191.358 * * [simplify]: Extracting #0: cost 1 inf + 0 191.358 * * [simplify]: Extracting #1: cost 3 inf + 0 191.358 * * [simplify]: Extracting #2: cost 6 inf + 0 191.358 * * [simplify]: Extracting #3: cost 52 inf + 0 191.358 * * [simplify]: Extracting #4: cost 118 inf + 0 191.359 * * [simplify]: Extracting #5: cost 184 inf + 0 191.359 * * [simplify]: Extracting #6: cost 253 inf + 1215 191.363 * * [simplify]: Extracting #7: cost 212 inf + 11596 191.373 * * [simplify]: Extracting #8: cost 111 inf + 39072 191.386 * * [simplify]: Extracting #9: cost 42 inf + 62379 191.410 * * [simplify]: Extracting #10: cost 5 inf + 100024 191.448 * * [simplify]: Extracting #11: cost 0 inf + 106629 191.470 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 191.470 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 191.471 * * * * [progress]: [ 51 / 5906 ] simplifiying candidate # 191.471 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 191.472 * * [simplify]: iters left: 6 (49 enodes) 191.493 * * [simplify]: iters left: 5 (238 enodes) 191.593 * * [simplify]: Extracting #0: cost 1 inf + 0 191.594 * * [simplify]: Extracting #1: cost 3 inf + 0 191.594 * * [simplify]: Extracting #2: cost 6 inf + 0 191.594 * * [simplify]: Extracting #3: cost 56 inf + 0 191.594 * * [simplify]: Extracting #4: cost 141 inf + 0 191.595 * * [simplify]: Extracting #5: cost 198 inf + 44 191.597 * * [simplify]: Extracting #6: cost 241 inf + 3826 191.601 * * [simplify]: Extracting #7: cost 194 inf + 15502 191.609 * * [simplify]: Extracting #8: cost 138 inf + 30007 191.623 * * [simplify]: Extracting #9: cost 87 inf + 49033 191.634 * * [simplify]: Extracting #10: cost 48 inf + 62846 191.655 * * [simplify]: Extracting #11: cost 5 inf + 102761 191.698 * * [simplify]: Extracting #12: cost 0 inf + 109206 191.727 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) 191.727 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 191.728 * * * * [progress]: [ 52 / 5906 ] simplifiying candidate # 191.728 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 191.728 * * [simplify]: iters left: 6 (49 enodes) 191.756 * * [simplify]: iters left: 5 (238 enodes) 191.862 * * [simplify]: Extracting #0: cost 1 inf + 0 191.863 * * [simplify]: Extracting #1: cost 3 inf + 0 191.863 * * [simplify]: Extracting #2: cost 6 inf + 0 191.863 * * [simplify]: Extracting #3: cost 58 inf + 0 191.863 * * [simplify]: Extracting #4: cost 139 inf + 0 191.864 * * [simplify]: Extracting #5: cost 192 inf + 166 191.867 * * [simplify]: Extracting #6: cost 220 inf + 6545 191.873 * * [simplify]: Extracting #7: cost 192 inf + 15023 191.884 * * [simplify]: Extracting #8: cost 114 inf + 36020 191.907 * * [simplify]: Extracting #9: cost 39 inf + 68623 191.943 * * [simplify]: Extracting #10: cost 4 inf + 102058 191.971 * * [simplify]: Extracting #11: cost 0 inf + 107038 192.002 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) 192.002 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 192.003 * * * * [progress]: [ 53 / 5906 ] simplifiying candidate # 192.004 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 192.004 * * [simplify]: iters left: 6 (43 enodes) 192.021 * * [simplify]: iters left: 5 (202 enodes) 192.083 * * [simplify]: Extracting #0: cost 1 inf + 0 192.083 * * [simplify]: Extracting #1: cost 3 inf + 0 192.083 * * [simplify]: Extracting #2: cost 6 inf + 0 192.083 * * [simplify]: Extracting #3: cost 50 inf + 0 192.084 * * [simplify]: Extracting #4: cost 107 inf + 0 192.084 * * [simplify]: Extracting #5: cost 141 inf + 126 192.086 * * [simplify]: Extracting #6: cost 197 inf + 1805 192.089 * * [simplify]: Extracting #7: cost 185 inf + 5178 192.091 * * [simplify]: Extracting #8: cost 139 inf + 13269 192.096 * * [simplify]: Extracting #9: cost 85 inf + 33312 192.110 * * [simplify]: Extracting #10: cost 11 inf + 75260 192.128 * * [simplify]: Extracting #11: cost 0 inf + 84577 192.150 * * [simplify]: Extracting #12: cost 0 inf + 84257 192.181 * * [simplify]: Extracting #13: cost 0 inf + 84217 192.202 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 192.202 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 192.202 * * * * [progress]: [ 54 / 5906 ] simplifiying candidate # 192.203 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 192.203 * * [simplify]: iters left: 6 (48 enodes) 192.223 * * [simplify]: iters left: 5 (230 enodes) 192.290 * * [simplify]: Extracting #0: cost 1 inf + 0 192.290 * * [simplify]: Extracting #1: cost 3 inf + 0 192.290 * * [simplify]: Extracting #2: cost 10 inf + 0 192.290 * * [simplify]: Extracting #3: cost 70 inf + 0 192.290 * * [simplify]: Extracting #4: cost 124 inf + 42 192.291 * * [simplify]: Extracting #5: cost 164 inf + 207 192.292 * * [simplify]: Extracting #6: cost 222 inf + 2166 192.294 * * [simplify]: Extracting #7: cost 198 inf + 8422 192.299 * * [simplify]: Extracting #8: cost 152 inf + 17400 192.305 * * [simplify]: Extracting #9: cost 94 inf + 37153 192.315 * * [simplify]: Extracting #10: cost 43 inf + 59313 192.347 * * [simplify]: Extracting #11: cost 7 inf + 90413 192.385 * * [simplify]: Extracting #12: cost 1 inf + 97403 192.411 * * [simplify]: Extracting #13: cost 0 inf + 98828 192.440 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 192.440 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 192.441 * * * * [progress]: [ 55 / 5906 ] simplifiying candidate # 192.442 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 192.442 * * [simplify]: iters left: 6 (43 enodes) 192.465 * * [simplify]: iters left: 5 (202 enodes) 192.552 * * [simplify]: Extracting #0: cost 1 inf + 0 192.552 * * [simplify]: Extracting #1: cost 3 inf + 0 192.552 * * [simplify]: Extracting #2: cost 10 inf + 0 192.552 * * [simplify]: Extracting #3: cost 62 inf + 0 192.553 * * [simplify]: Extracting #4: cost 104 inf + 86 192.554 * * [simplify]: Extracting #5: cost 124 inf + 1472 192.556 * * [simplify]: Extracting #6: cost 188 inf + 2934 192.559 * * [simplify]: Extracting #7: cost 190 inf + 4442 192.563 * * [simplify]: Extracting #8: cost 141 inf + 12542 192.572 * * [simplify]: Extracting #9: cost 97 inf + 27307 192.589 * * [simplify]: Extracting #10: cost 36 inf + 51907 192.615 * * [simplify]: Extracting #11: cost 5 inf + 74822 192.632 * * [simplify]: Extracting #12: cost 0 inf + 80227 192.658 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 192.658 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 192.659 * * * * [progress]: [ 56 / 5906 ] simplifiying candidate # 192.660 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 192.660 * * [simplify]: iters left: 6 (48 enodes) 192.685 * * [simplify]: iters left: 5 (230 enodes) 192.758 * * [simplify]: Extracting #0: cost 1 inf + 0 192.758 * * [simplify]: Extracting #1: cost 3 inf + 0 192.758 * * [simplify]: Extracting #2: cost 10 inf + 0 192.758 * * [simplify]: Extracting #3: cost 70 inf + 0 192.759 * * [simplify]: Extracting #4: cost 124 inf + 42 192.759 * * [simplify]: Extracting #5: cost 163 inf + 249 192.761 * * [simplify]: Extracting #6: cost 225 inf + 1762 192.762 * * [simplify]: Extracting #7: cost 198 inf + 8975 192.765 * * [simplify]: Extracting #8: cost 152 inf + 18092 192.771 * * [simplify]: Extracting #9: cost 93 inf + 37337 192.781 * * [simplify]: Extracting #10: cost 42 inf + 60418 192.806 * * [simplify]: Extracting #11: cost 7 inf + 91013 192.847 * * [simplify]: Extracting #12: cost 0 inf + 99788 192.876 * * [simplify]: Extracting #13: cost 0 inf + 99468 192.899 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 192.899 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 192.899 * * * * [progress]: [ 57 / 5906 ] simplifiying candidate # 192.900 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 192.900 * * [simplify]: iters left: 6 (43 enodes) 192.912 * * [simplify]: iters left: 5 (202 enodes) 192.980 * * [simplify]: Extracting #0: cost 1 inf + 0 192.981 * * [simplify]: Extracting #1: cost 3 inf + 0 192.981 * * [simplify]: Extracting #2: cost 10 inf + 0 192.981 * * [simplify]: Extracting #3: cost 61 inf + 0 192.981 * * [simplify]: Extracting #4: cost 105 inf + 44 192.981 * * [simplify]: Extracting #5: cost 131 inf + 659 192.982 * * [simplify]: Extracting #6: cost 187 inf + 2856 192.984 * * [simplify]: Extracting #7: cost 182 inf + 5296 192.986 * * [simplify]: Extracting #8: cost 142 inf + 12500 192.991 * * [simplify]: Extracting #9: cost 99 inf + 26390 192.999 * * [simplify]: Extracting #10: cost 36 inf + 51766 193.013 * * [simplify]: Extracting #11: cost 5 inf + 75222 193.044 * * [simplify]: Extracting #12: cost 0 inf + 80627 193.062 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 193.062 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 193.062 * * * * [progress]: [ 58 / 5906 ] simplifiying candidate # 193.063 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 193.063 * * [simplify]: iters left: 6 (45 enodes) 193.075 * * [simplify]: iters left: 5 (216 enodes) 193.145 * * [simplify]: Extracting #0: cost 1 inf + 0 193.145 * * [simplify]: Extracting #1: cost 3 inf + 0 193.146 * * [simplify]: Extracting #2: cost 6 inf + 0 193.146 * * [simplify]: Extracting #3: cost 52 inf + 0 193.146 * * [simplify]: Extracting #4: cost 118 inf + 0 193.146 * * [simplify]: Extracting #5: cost 184 inf + 0 193.147 * * [simplify]: Extracting #6: cost 249 inf + 251 193.149 * * [simplify]: Extracting #7: cost 201 inf + 12178 193.152 * * [simplify]: Extracting #8: cost 144 inf + 20190 193.158 * * [simplify]: Extracting #9: cost 96 inf + 35294 193.167 * * [simplify]: Extracting #10: cost 44 inf + 60724 193.188 * * [simplify]: Extracting #11: cost 8 inf + 94294 193.221 * * [simplify]: Extracting #12: cost 0 inf + 102334 193.263 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 193.263 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 193.264 * * * * [progress]: [ 59 / 5906 ] simplifiying candidate # 193.264 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 193.265 * * [simplify]: iters left: 6 (46 enodes) 193.289 * * [simplify]: iters left: 5 (225 enodes) 193.376 * * [simplify]: Extracting #0: cost 1 inf + 0 193.376 * * [simplify]: Extracting #1: cost 3 inf + 0 193.376 * * [simplify]: Extracting #2: cost 6 inf + 0 193.376 * * [simplify]: Extracting #3: cost 56 inf + 0 193.377 * * [simplify]: Extracting #4: cost 141 inf + 0 193.377 * * [simplify]: Extracting #5: cost 197 inf + 126 193.379 * * [simplify]: Extracting #6: cost 240 inf + 5276 193.382 * * [simplify]: Extracting #7: cost 191 inf + 15839 193.386 * * [simplify]: Extracting #8: cost 131 inf + 28883 193.395 * * [simplify]: Extracting #9: cost 68 inf + 51244 193.411 * * [simplify]: Extracting #10: cost 17 inf + 89238 193.438 * * [simplify]: Extracting #11: cost 0 inf + 105391 193.463 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 193.463 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 193.464 * * * * [progress]: [ 60 / 5906 ] simplifiying candidate # 193.464 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 193.465 * * [simplify]: iters left: 6 (46 enodes) 193.478 * * [simplify]: iters left: 5 (225 enodes) 193.544 * * [simplify]: Extracting #0: cost 1 inf + 0 193.544 * * [simplify]: Extracting #1: cost 3 inf + 0 193.544 * * [simplify]: Extracting #2: cost 6 inf + 0 193.544 * * [simplify]: Extracting #3: cost 58 inf + 0 193.545 * * [simplify]: Extracting #4: cost 139 inf + 0 193.548 * * [simplify]: Extracting #5: cost 193 inf + 126 193.549 * * [simplify]: Extracting #6: cost 236 inf + 4604 193.551 * * [simplify]: Extracting #7: cost 194 inf + 14094 193.554 * * [simplify]: Extracting #8: cost 148 inf + 21805 193.562 * * [simplify]: Extracting #9: cost 101 inf + 34075 193.581 * * [simplify]: Extracting #10: cost 49 inf + 59672 193.615 * * [simplify]: Extracting #11: cost 1 inf + 101238 193.656 * * [simplify]: Extracting #12: cost 0 inf + 102983 193.688 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 193.688 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 193.689 * * * * [progress]: [ 61 / 5906 ] simplifiying candidate # 193.690 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 193.690 * * [simplify]: iters left: 6 (40 enodes) 193.715 * * [simplify]: iters left: 5 (189 enodes) 193.766 * * [simplify]: Extracting #0: cost 1 inf + 0 193.766 * * [simplify]: Extracting #1: cost 3 inf + 0 193.766 * * [simplify]: Extracting #2: cost 6 inf + 0 193.767 * * [simplify]: Extracting #3: cost 50 inf + 0 193.767 * * [simplify]: Extracting #4: cost 107 inf + 0 193.767 * * [simplify]: Extracting #5: cost 142 inf + 44 193.768 * * [simplify]: Extracting #6: cost 186 inf + 2083 193.769 * * [simplify]: Extracting #7: cost 183 inf + 3268 193.772 * * [simplify]: Extracting #8: cost 106 inf + 22250 193.780 * * [simplify]: Extracting #9: cost 54 inf + 45401 193.796 * * [simplify]: Extracting #10: cost 8 inf + 76859 193.815 * * [simplify]: Extracting #11: cost 0 inf + 81722 193.848 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 193.848 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 193.849 * * * * [progress]: [ 62 / 5906 ] simplifiying candidate # 193.850 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 193.850 * * [simplify]: iters left: 6 (45 enodes) 193.877 * * [simplify]: iters left: 5 (217 enodes) 193.932 * * [simplify]: Extracting #0: cost 1 inf + 0 193.932 * * [simplify]: Extracting #1: cost 3 inf + 0 193.932 * * [simplify]: Extracting #2: cost 10 inf + 0 193.932 * * [simplify]: Extracting #3: cost 70 inf + 0 193.932 * * [simplify]: Extracting #4: cost 125 inf + 1 193.933 * * [simplify]: Extracting #5: cost 166 inf + 124 193.934 * * [simplify]: Extracting #6: cost 225 inf + 1043 193.935 * * [simplify]: Extracting #7: cost 201 inf + 7933 193.939 * * [simplify]: Extracting #8: cost 116 inf + 28462 193.948 * * [simplify]: Extracting #9: cost 45 inf + 58597 193.971 * * [simplify]: Extracting #10: cost 2 inf + 94643 193.991 * * [simplify]: Extracting #11: cost 0 inf + 96413 194.019 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 194.019 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 194.020 * * * * [progress]: [ 63 / 5906 ] simplifiying candidate # 194.020 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 194.020 * * [simplify]: iters left: 6 (40 enodes) 194.031 * * [simplify]: iters left: 5 (189 enodes) 194.089 * * [simplify]: Extracting #0: cost 1 inf + 0 194.089 * * [simplify]: Extracting #1: cost 3 inf + 0 194.090 * * [simplify]: Extracting #2: cost 10 inf + 0 194.090 * * [simplify]: Extracting #3: cost 62 inf + 0 194.090 * * [simplify]: Extracting #4: cost 104 inf + 86 194.091 * * [simplify]: Extracting #5: cost 118 inf + 2364 194.092 * * [simplify]: Extracting #6: cost 179 inf + 2932 194.093 * * [simplify]: Extracting #7: cost 183 inf + 3223 194.096 * * [simplify]: Extracting #8: cost 108 inf + 21015 194.104 * * [simplify]: Extracting #9: cost 54 inf + 44196 194.127 * * [simplify]: Extracting #10: cost 12 inf + 68175 194.159 * * [simplify]: Extracting #11: cost 0 inf + 79252 194.195 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 194.195 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 194.196 * * * * [progress]: [ 64 / 5906 ] simplifiying candidate # 194.196 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 194.197 * * [simplify]: iters left: 6 (45 enodes) 194.221 * * [simplify]: iters left: 5 (217 enodes) 194.284 * * [simplify]: Extracting #0: cost 1 inf + 0 194.284 * * [simplify]: Extracting #1: cost 3 inf + 0 194.284 * * [simplify]: Extracting #2: cost 10 inf + 0 194.284 * * [simplify]: Extracting #3: cost 70 inf + 0 194.285 * * [simplify]: Extracting #4: cost 125 inf + 1 194.286 * * [simplify]: Extracting #5: cost 163 inf + 289 194.287 * * [simplify]: Extracting #6: cost 218 inf + 2521 194.290 * * [simplify]: Extracting #7: cost 200 inf + 8137 194.300 * * [simplify]: Extracting #8: cost 116 inf + 28806 194.318 * * [simplify]: Extracting #9: cost 44 inf + 60382 194.352 * * [simplify]: Extracting #10: cost 2 inf + 95443 194.376 * * [simplify]: Extracting #11: cost 0 inf + 97373 194.396 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 194.396 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 194.397 * * * * [progress]: [ 65 / 5906 ] simplifiying candidate # 194.397 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 194.397 * * [simplify]: iters left: 6 (40 enodes) 194.409 * * [simplify]: iters left: 5 (189 enodes) 194.456 * * [simplify]: Extracting #0: cost 1 inf + 0 194.456 * * [simplify]: Extracting #1: cost 3 inf + 0 194.456 * * [simplify]: Extracting #2: cost 10 inf + 0 194.457 * * [simplify]: Extracting #3: cost 61 inf + 0 194.457 * * [simplify]: Extracting #4: cost 104 inf + 86 194.457 * * [simplify]: Extracting #5: cost 119 inf + 2242 194.459 * * [simplify]: Extracting #6: cost 179 inf + 2932 194.460 * * [simplify]: Extracting #7: cost 184 inf + 3182 194.464 * * [simplify]: Extracting #8: cost 108 inf + 20511 194.472 * * [simplify]: Extracting #9: cost 54 inf + 44537 194.486 * * [simplify]: Extracting #10: cost 10 inf + 70052 194.504 * * [simplify]: Extracting #11: cost 0 inf + 79652 194.523 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 194.523 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 194.524 * * * * [progress]: [ 66 / 5906 ] simplifiying candidate # 194.524 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 194.524 * * [simplify]: iters left: 6 (48 enodes) 194.538 * * [simplify]: iters left: 5 (229 enodes) 194.609 * * [simplify]: Extracting #0: cost 1 inf + 0 194.610 * * [simplify]: Extracting #1: cost 3 inf + 0 194.610 * * [simplify]: Extracting #2: cost 6 inf + 0 194.610 * * [simplify]: Extracting #3: cost 52 inf + 0 194.610 * * [simplify]: Extracting #4: cost 118 inf + 0 194.611 * * [simplify]: Extracting #5: cost 185 inf + 0 194.612 * * [simplify]: Extracting #6: cost 253 inf + 1134 194.615 * * [simplify]: Extracting #7: cost 218 inf + 10033 194.627 * * [simplify]: Extracting #8: cost 117 inf + 37144 194.647 * * [simplify]: Extracting #9: cost 42 inf + 62859 194.673 * * [simplify]: Extracting #10: cost 5 inf + 100504 194.695 * * [simplify]: Extracting #11: cost 0 inf + 107109 194.725 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 194.725 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 194.726 * * * * [progress]: [ 67 / 5906 ] simplifiying candidate # 194.726 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 194.727 * * [simplify]: iters left: 6 (49 enodes) 194.741 * * [simplify]: iters left: 5 (238 enodes) 194.834 * * [simplify]: Extracting #0: cost 1 inf + 0 194.834 * * [simplify]: Extracting #1: cost 3 inf + 0 194.834 * * [simplify]: Extracting #2: cost 6 inf + 0 194.834 * * [simplify]: Extracting #3: cost 56 inf + 0 194.834 * * [simplify]: Extracting #4: cost 141 inf + 0 194.835 * * [simplify]: Extracting #5: cost 197 inf + 207 194.838 * * [simplify]: Extracting #6: cost 227 inf + 5660 194.844 * * [simplify]: Extracting #7: cost 198 inf + 13297 194.855 * * [simplify]: Extracting #8: cost 120 inf + 32425 194.875 * * [simplify]: Extracting #9: cost 49 inf + 61323 194.913 * * [simplify]: Extracting #10: cost 5 inf + 101601 194.955 * * [simplify]: Extracting #11: cost 0 inf + 108006 194.979 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 194.979 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 194.980 * * * * [progress]: [ 68 / 5906 ] simplifiying candidate # 194.980 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 194.981 * * [simplify]: iters left: 6 (49 enodes) 194.996 * * [simplify]: iters left: 5 (238 enodes) 195.103 * * [simplify]: Extracting #0: cost 1 inf + 0 195.103 * * [simplify]: Extracting #1: cost 3 inf + 0 195.103 * * [simplify]: Extracting #2: cost 6 inf + 0 195.103 * * [simplify]: Extracting #3: cost 58 inf + 0 195.104 * * [simplify]: Extracting #4: cost 139 inf + 0 195.105 * * [simplify]: Extracting #5: cost 194 inf + 85 195.108 * * [simplify]: Extracting #6: cost 225 inf + 5618 195.113 * * [simplify]: Extracting #7: cost 193 inf + 14934 195.125 * * [simplify]: Extracting #8: cost 119 inf + 34433 195.149 * * [simplify]: Extracting #9: cost 40 inf + 66318 195.186 * * [simplify]: Extracting #10: cost 6 inf + 97728 195.230 * * [simplify]: Extracting #11: cost 0 inf + 105518 195.275 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 195.275 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 195.276 * * * * [progress]: [ 69 / 5906 ] simplifiying candidate # 195.276 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 195.277 * * [simplify]: iters left: 6 (43 enodes) 195.301 * * [simplify]: iters left: 5 (202 enodes) 195.363 * * [simplify]: Extracting #0: cost 1 inf + 0 195.363 * * [simplify]: Extracting #1: cost 3 inf + 0 195.363 * * [simplify]: Extracting #2: cost 6 inf + 0 195.363 * * [simplify]: Extracting #3: cost 50 inf + 0 195.363 * * [simplify]: Extracting #4: cost 107 inf + 0 195.363 * * [simplify]: Extracting #5: cost 142 inf + 126 195.364 * * [simplify]: Extracting #6: cost 197 inf + 1724 195.366 * * [simplify]: Extracting #7: cost 181 inf + 5544 195.369 * * [simplify]: Extracting #8: cost 114 inf + 21680 195.381 * * [simplify]: Extracting #9: cost 30 inf + 66644 195.407 * * [simplify]: Extracting #10: cost 2 inf + 84723 195.442 * * [simplify]: Extracting #11: cost 0 inf + 85377 195.478 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) 195.478 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 195.479 * * * * [progress]: [ 70 / 5906 ] simplifiying candidate # 195.480 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 195.480 * * [simplify]: iters left: 6 (48 enodes) 195.498 * * [simplify]: iters left: 5 (230 enodes) 195.568 * * [simplify]: Extracting #0: cost 1 inf + 0 195.568 * * [simplify]: Extracting #1: cost 3 inf + 0 195.568 * * [simplify]: Extracting #2: cost 10 inf + 0 195.568 * * [simplify]: Extracting #3: cost 70 inf + 0 195.568 * * [simplify]: Extracting #4: cost 124 inf + 42 195.569 * * [simplify]: Extracting #5: cost 165 inf + 207 195.570 * * [simplify]: Extracting #6: cost 221 inf + 2169 195.571 * * [simplify]: Extracting #7: cost 198 inf + 8724 195.574 * * [simplify]: Extracting #8: cost 150 inf + 18164 195.580 * * [simplify]: Extracting #9: cost 94 inf + 38376 195.598 * * [simplify]: Extracting #10: cost 38 inf + 62278 195.618 * * [simplify]: Extracting #11: cost 6 inf + 92598 195.653 * * [simplify]: Extracting #12: cost 0 inf + 99788 195.675 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 195.675 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 195.676 * * * * [progress]: [ 71 / 5906 ] simplifiying candidate # 195.676 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 195.677 * * [simplify]: iters left: 6 (43 enodes) 195.690 * * [simplify]: iters left: 5 (202 enodes) 195.763 * * [simplify]: Extracting #0: cost 1 inf + 0 195.763 * * [simplify]: Extracting #1: cost 3 inf + 0 195.763 * * [simplify]: Extracting #2: cost 10 inf + 0 195.763 * * [simplify]: Extracting #3: cost 62 inf + 0 195.764 * * [simplify]: Extracting #4: cost 104 inf + 86 195.764 * * [simplify]: Extracting #5: cost 130 inf + 742 195.766 * * [simplify]: Extracting #6: cost 187 inf + 2976 195.769 * * [simplify]: Extracting #7: cost 191 inf + 3877 195.773 * * [simplify]: Extracting #8: cost 144 inf + 13137 195.784 * * [simplify]: Extracting #9: cost 79 inf + 36084 195.798 * * [simplify]: Extracting #10: cost 27 inf + 57338 195.814 * * [simplify]: Extracting #11: cost 4 inf + 76247 195.832 * * [simplify]: Extracting #12: cost 0 inf + 80787 195.850 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 195.850 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 195.851 * * * * [progress]: [ 72 / 5906 ] simplifiying candidate # 195.851 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 195.851 * * [simplify]: iters left: 6 (48 enodes) 195.875 * * [simplify]: iters left: 5 (230 enodes) 195.944 * * [simplify]: Extracting #0: cost 1 inf + 0 195.944 * * [simplify]: Extracting #1: cost 3 inf + 0 195.944 * * [simplify]: Extracting #2: cost 10 inf + 0 195.945 * * [simplify]: Extracting #3: cost 70 inf + 0 195.946 * * [simplify]: Extracting #4: cost 124 inf + 42 195.947 * * [simplify]: Extracting #5: cost 164 inf + 249 195.949 * * [simplify]: Extracting #6: cost 225 inf + 1683 195.951 * * [simplify]: Extracting #7: cost 213 inf + 6245 195.956 * * [simplify]: Extracting #8: cost 155 inf + 16320 195.967 * * [simplify]: Extracting #9: cost 94 inf + 38073 195.990 * * [simplify]: Extracting #10: cost 38 inf + 62998 196.022 * * [simplify]: Extracting #11: cost 6 inf + 93238 196.061 * * [simplify]: Extracting #12: cost 0 inf + 100428 196.098 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 196.098 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 196.098 * * * * [progress]: [ 73 / 5906 ] simplifiying candidate # 196.099 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 196.099 * * [simplify]: iters left: 6 (43 enodes) 196.112 * * [simplify]: iters left: 5 (202 enodes) 196.172 * * [simplify]: Extracting #0: cost 1 inf + 0 196.172 * * [simplify]: Extracting #1: cost 3 inf + 0 196.173 * * [simplify]: Extracting #2: cost 10 inf + 0 196.173 * * [simplify]: Extracting #3: cost 61 inf + 0 196.173 * * [simplify]: Extracting #4: cost 105 inf + 44 196.173 * * [simplify]: Extracting #5: cost 129 inf + 984 196.174 * * [simplify]: Extracting #6: cost 185 inf + 3060 196.175 * * [simplify]: Extracting #7: cost 183 inf + 5015 196.178 * * [simplify]: Extracting #8: cost 142 inf + 12421 196.182 * * [simplify]: Extracting #9: cost 98 inf + 26135 196.191 * * [simplify]: Extracting #10: cost 37 inf + 51682 196.206 * * [simplify]: Extracting #11: cost 3 inf + 77512 196.224 * * [simplify]: Extracting #12: cost 0 inf + 81187 196.260 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 196.260 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 196.261 * * * * [progress]: [ 74 / 5906 ] simplifiying candidate # 196.262 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 196.263 * * [simplify]: iters left: 6 (47 enodes) 196.289 * * [simplify]: iters left: 5 (229 enodes) 196.376 * * [simplify]: Extracting #0: cost 1 inf + 0 196.376 * * [simplify]: Extracting #1: cost 3 inf + 0 196.376 * * [simplify]: Extracting #2: cost 6 inf + 0 196.376 * * [simplify]: Extracting #3: cost 48 inf + 0 196.376 * * [simplify]: Extracting #4: cost 112 inf + 0 196.379 * * [simplify]: Extracting #5: cost 183 inf + 0 196.379 * * [simplify]: Extracting #6: cost 267 inf + 210 196.381 * * [simplify]: Extracting #7: cost 242 inf + 6825 196.384 * * [simplify]: Extracting #8: cost 166 inf + 19672 196.397 * * [simplify]: Extracting #9: cost 91 inf + 42045 196.421 * * [simplify]: Extracting #10: cost 37 inf + 70495 196.439 * * [simplify]: Extracting #11: cost 11 inf + 95461 196.474 * * [simplify]: Extracting #12: cost 0 inf + 109376 196.523 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 196.523 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 196.524 * * * * [progress]: [ 75 / 5906 ] simplifiying candidate # 196.525 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 196.525 * * [simplify]: iters left: 6 (48 enodes) 196.542 * * [simplify]: iters left: 5 (238 enodes) 196.621 * * [simplify]: Extracting #0: cost 1 inf + 0 196.621 * * [simplify]: Extracting #1: cost 3 inf + 0 196.621 * * [simplify]: Extracting #2: cost 6 inf + 0 196.621 * * [simplify]: Extracting #3: cost 52 inf + 0 196.621 * * [simplify]: Extracting #4: cost 135 inf + 0 196.622 * * [simplify]: Extracting #5: cost 191 inf + 534 196.623 * * [simplify]: Extracting #6: cost 234 inf + 6500 196.626 * * [simplify]: Extracting #7: cost 220 inf + 12338 196.636 * * [simplify]: Extracting #8: cost 152 inf + 28166 196.653 * * [simplify]: Extracting #9: cost 74 inf + 50773 196.679 * * [simplify]: Extracting #10: cost 20 inf + 87943 196.701 * * [simplify]: Extracting #11: cost 1 inf + 106008 196.732 * * [simplify]: Extracting #12: cost 0 inf + 107833 196.765 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 196.765 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 196.766 * * * * [progress]: [ 76 / 5906 ] simplifiying candidate # 196.767 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 196.767 * * [simplify]: iters left: 6 (48 enodes) 196.785 * * [simplify]: iters left: 5 (238 enodes) 196.860 * * [simplify]: Extracting #0: cost 1 inf + 0 196.860 * * [simplify]: Extracting #1: cost 3 inf + 0 196.860 * * [simplify]: Extracting #2: cost 6 inf + 0 196.860 * * [simplify]: Extracting #3: cost 54 inf + 0 196.861 * * [simplify]: Extracting #4: cost 133 inf + 0 196.861 * * [simplify]: Extracting #5: cost 190 inf + 169 196.862 * * [simplify]: Extracting #6: cost 252 inf + 3121 196.865 * * [simplify]: Extracting #7: cost 222 inf + 13014 196.874 * * [simplify]: Extracting #8: cost 136 inf + 32781 196.898 * * [simplify]: Extracting #9: cost 53 inf + 61705 196.935 * * [simplify]: Extracting #10: cost 16 inf + 94776 196.967 * * [simplify]: Extracting #11: cost 0 inf + 109785 197.011 * * [simplify]: Extracting #12: cost 0 inf + 108585 197.054 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 197.054 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 197.055 * * * * [progress]: [ 77 / 5906 ] simplifiying candidate # 197.056 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 197.056 * * [simplify]: iters left: 6 (42 enodes) 197.069 * * [simplify]: iters left: 5 (203 enodes) 197.129 * * [simplify]: Extracting #0: cost 1 inf + 0 197.129 * * [simplify]: Extracting #1: cost 3 inf + 0 197.129 * * [simplify]: Extracting #2: cost 6 inf + 0 197.129 * * [simplify]: Extracting #3: cost 46 inf + 0 197.129 * * [simplify]: Extracting #4: cost 101 inf + 0 197.129 * * [simplify]: Extracting #5: cost 141 inf + 44 197.130 * * [simplify]: Extracting #6: cost 208 inf + 1675 197.131 * * [simplify]: Extracting #7: cost 210 inf + 3101 197.135 * * [simplify]: Extracting #8: cost 130 inf + 20883 197.142 * * [simplify]: Extracting #9: cost 70 inf + 40296 197.158 * * [simplify]: Extracting #10: cost 34 inf + 63140 197.194 * * [simplify]: Extracting #11: cost 3 inf + 88893 197.228 * * [simplify]: Extracting #12: cost 0 inf + 88924 197.248 * * [simplify]: Extracting #13: cost 0 inf + 88364 197.276 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 197.276 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 197.278 * * * * [progress]: [ 78 / 5906 ] simplifiying candidate # 197.278 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 197.279 * * [simplify]: iters left: 6 (47 enodes) 197.304 * * [simplify]: iters left: 5 (231 enodes) 197.408 * * [simplify]: Extracting #0: cost 1 inf + 0 197.409 * * [simplify]: Extracting #1: cost 3 inf + 0 197.409 * * [simplify]: Extracting #2: cost 10 inf + 0 197.409 * * [simplify]: Extracting #3: cost 62 inf + 0 197.409 * * [simplify]: Extracting #4: cost 115 inf + 42 197.410 * * [simplify]: Extracting #5: cost 158 inf + 290 197.412 * * [simplify]: Extracting #6: cost 226 inf + 2768 197.415 * * [simplify]: Extracting #7: cost 217 inf + 7796 197.422 * * [simplify]: Extracting #8: cost 149 inf + 23535 197.439 * * [simplify]: Extracting #9: cost 60 inf + 55784 197.473 * * [simplify]: Extracting #10: cost 9 inf + 90527 197.511 * * [simplify]: Extracting #11: cost 0 inf + 98580 197.532 * * [simplify]: Extracting #12: cost 0 inf + 97700 197.568 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 197.568 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 197.570 * * * * [progress]: [ 79 / 5906 ] simplifiying candidate # 197.570 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 197.571 * * [simplify]: iters left: 6 (42 enodes) 197.593 * * [simplify]: iters left: 5 (204 enodes) 197.655 * * [simplify]: Extracting #0: cost 1 inf + 0 197.655 * * [simplify]: Extracting #1: cost 3 inf + 0 197.655 * * [simplify]: Extracting #2: cost 10 inf + 0 197.655 * * [simplify]: Extracting #3: cost 54 inf + 0 197.655 * * [simplify]: Extracting #4: cost 95 inf + 86 197.657 * * [simplify]: Extracting #5: cost 119 inf + 1675 197.658 * * [simplify]: Extracting #6: cost 195 inf + 2770 197.661 * * [simplify]: Extracting #7: cost 204 inf + 3182 197.664 * * [simplify]: Extracting #8: cost 168 inf + 7773 197.673 * * [simplify]: Extracting #9: cost 94 inf + 29047 197.689 * * [simplify]: Extracting #10: cost 23 inf + 66697 197.707 * * [simplify]: Extracting #11: cost 1 inf + 81914 197.726 * * [simplify]: Extracting #12: cost 0 inf + 83499 197.759 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 197.759 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 197.760 * * * * [progress]: [ 80 / 5906 ] simplifiying candidate # 197.761 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 197.761 * * [simplify]: iters left: 6 (47 enodes) 197.787 * * [simplify]: iters left: 5 (231 enodes) 197.857 * * [simplify]: Extracting #0: cost 1 inf + 0 197.857 * * [simplify]: Extracting #1: cost 3 inf + 0 197.858 * * [simplify]: Extracting #2: cost 10 inf + 0 197.858 * * [simplify]: Extracting #3: cost 62 inf + 0 197.858 * * [simplify]: Extracting #4: cost 115 inf + 42 197.859 * * [simplify]: Extracting #5: cost 156 inf + 494 197.861 * * [simplify]: Extracting #6: cost 223 inf + 3333 197.864 * * [simplify]: Extracting #7: cost 216 inf + 8048 197.874 * * [simplify]: Extracting #8: cost 149 inf + 24107 197.884 * * [simplify]: Extracting #9: cost 58 inf + 56790 197.901 * * [simplify]: Extracting #10: cost 10 inf + 90243 197.934 * * [simplify]: Extracting #11: cost 0 inf + 99620 197.955 * * [simplify]: Extracting #12: cost 0 inf + 98580 197.991 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 197.991 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 197.992 * * * * [progress]: [ 81 / 5906 ] simplifiying candidate # 197.993 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 197.993 * * [simplify]: iters left: 6 (42 enodes) 198.017 * * [simplify]: iters left: 5 (204 enodes) 198.092 * * [simplify]: Extracting #0: cost 1 inf + 0 198.092 * * [simplify]: Extracting #1: cost 3 inf + 0 198.092 * * [simplify]: Extracting #2: cost 10 inf + 0 198.092 * * [simplify]: Extracting #3: cost 53 inf + 0 198.092 * * [simplify]: Extracting #4: cost 96 inf + 44 198.093 * * [simplify]: Extracting #5: cost 124 inf + 1104 198.094 * * [simplify]: Extracting #6: cost 194 inf + 2932 198.095 * * [simplify]: Extracting #7: cost 203 inf + 3264 198.096 * * [simplify]: Extracting #8: cost 167 inf + 7854 198.101 * * [simplify]: Extracting #9: cost 95 inf + 28502 198.115 * * [simplify]: Extracting #10: cost 22 inf + 68602 198.147 * * [simplify]: Extracting #11: cost 0 inf + 83819 198.174 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 198.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 198.175 * * * * [progress]: [ 82 / 5906 ] simplifiying candidate # 198.175 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 198.175 * * [simplify]: iters left: 6 (47 enodes) 198.188 * * [simplify]: iters left: 5 (233 enodes) 198.270 * * [simplify]: Extracting #0: cost 1 inf + 0 198.270 * * [simplify]: Extracting #1: cost 3 inf + 0 198.270 * * [simplify]: Extracting #2: cost 6 inf + 0 198.270 * * [simplify]: Extracting #3: cost 54 inf + 0 198.270 * * [simplify]: Extracting #4: cost 120 inf + 0 198.270 * * [simplify]: Extracting #5: cost 191 inf + 0 198.271 * * [simplify]: Extracting #6: cost 273 inf + 845 198.273 * * [simplify]: Extracting #7: cost 241 inf + 9435 198.280 * * [simplify]: Extracting #8: cost 158 inf + 27905 198.296 * * [simplify]: Extracting #9: cost 88 inf + 49665 198.318 * * [simplify]: Extracting #10: cost 51 inf + 63775 198.344 * * [simplify]: Extracting #11: cost 35 inf + 76135 198.383 * * [simplify]: Extracting #12: cost 7 inf + 105835 198.411 * * [simplify]: Extracting #13: cost 0 inf + 115890 198.459 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 198.459 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 198.460 * * * * [progress]: [ 83 / 5906 ] simplifiying candidate # 198.460 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 198.461 * * [simplify]: iters left: 6 (48 enodes) 198.476 * * [simplify]: iters left: 5 (242 enodes) 198.538 * * [simplify]: Extracting #0: cost 1 inf + 0 198.539 * * [simplify]: Extracting #1: cost 3 inf + 0 198.539 * * [simplify]: Extracting #2: cost 6 inf + 0 198.539 * * [simplify]: Extracting #3: cost 58 inf + 0 198.539 * * [simplify]: Extracting #4: cost 143 inf + 0 198.540 * * [simplify]: Extracting #5: cost 201 inf + 290 198.541 * * [simplify]: Extracting #6: cost 243 inf + 6378 198.544 * * [simplify]: Extracting #7: cost 227 inf + 13532 198.551 * * [simplify]: Extracting #8: cost 184 inf + 18975 198.562 * * [simplify]: Extracting #9: cost 120 inf + 33813 198.580 * * [simplify]: Extracting #10: cost 67 inf + 56056 198.606 * * [simplify]: Extracting #11: cost 32 inf + 85016 198.648 * * [simplify]: Extracting #12: cost 2 inf + 114457 198.681 * * [simplify]: Extracting #13: cost 0 inf + 116587 198.718 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 198.718 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 198.719 * * * * [progress]: [ 84 / 5906 ] simplifiying candidate # 198.720 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 198.721 * * [simplify]: iters left: 6 (48 enodes) 198.736 * * [simplify]: iters left: 5 (242 enodes) 198.814 * * [simplify]: Extracting #0: cost 1 inf + 0 198.814 * * [simplify]: Extracting #1: cost 3 inf + 0 198.814 * * [simplify]: Extracting #2: cost 6 inf + 0 198.814 * * [simplify]: Extracting #3: cost 60 inf + 0 198.815 * * [simplify]: Extracting #4: cost 141 inf + 0 198.815 * * [simplify]: Extracting #5: cost 199 inf + 127 198.816 * * [simplify]: Extracting #6: cost 264 inf + 2463 198.818 * * [simplify]: Extracting #7: cost 231 inf + 12669 198.823 * * [simplify]: Extracting #8: cost 143 inf + 31580 198.832 * * [simplify]: Extracting #9: cost 70 inf + 55962 198.848 * * [simplify]: Extracting #10: cost 41 inf + 76324 198.875 * * [simplify]: Extracting #11: cost 9 inf + 106674 198.906 * * [simplify]: Extracting #12: cost 0 inf + 115539 198.930 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 198.931 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 198.931 * * * * [progress]: [ 85 / 5906 ] simplifiying candidate # 198.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 198.932 * * [simplify]: iters left: 6 (42 enodes) 198.943 * * [simplify]: iters left: 5 (206 enodes) 199.004 * * [simplify]: Extracting #0: cost 1 inf + 0 199.004 * * [simplify]: Extracting #1: cost 3 inf + 0 199.004 * * [simplify]: Extracting #2: cost 6 inf + 0 199.004 * * [simplify]: Extracting #3: cost 52 inf + 0 199.004 * * [simplify]: Extracting #4: cost 109 inf + 0 199.005 * * [simplify]: Extracting #5: cost 149 inf + 44 199.005 * * [simplify]: Extracting #6: cost 219 inf + 1111 199.006 * * [simplify]: Extracting #7: cost 217 inf + 3022 199.008 * * [simplify]: Extracting #8: cost 168 inf + 10039 199.013 * * [simplify]: Extracting #9: cost 108 inf + 25927 199.023 * * [simplify]: Extracting #10: cost 46 inf + 54595 199.042 * * [simplify]: Extracting #11: cost 23 inf + 70583 199.061 * * [simplify]: Extracting #12: cost 1 inf + 92573 199.096 * * [simplify]: Extracting #13: cost 0 inf + 94198 199.121 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 199.121 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 199.121 * * * * [progress]: [ 86 / 5906 ] simplifiying candidate # 199.122 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 199.122 * * [simplify]: iters left: 6 (47 enodes) 199.139 * * [simplify]: iters left: 5 (234 enodes) 199.210 * * [simplify]: Extracting #0: cost 1 inf + 0 199.210 * * [simplify]: Extracting #1: cost 3 inf + 0 199.210 * * [simplify]: Extracting #2: cost 10 inf + 0 199.210 * * [simplify]: Extracting #3: cost 72 inf + 0 199.211 * * [simplify]: Extracting #4: cost 126 inf + 42 199.211 * * [simplify]: Extracting #5: cost 169 inf + 290 199.212 * * [simplify]: Extracting #6: cost 238 inf + 2526 199.213 * * [simplify]: Extracting #7: cost 227 inf + 7506 199.218 * * [simplify]: Extracting #8: cost 142 inf + 29707 199.225 * * [simplify]: Extracting #9: cost 88 inf + 44768 199.241 * * [simplify]: Extracting #10: cost 43 inf + 67934 199.277 * * [simplify]: Extracting #11: cost 8 inf + 96369 199.312 * * [simplify]: Extracting #12: cost 0 inf + 106449 199.346 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 199.346 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 199.347 * * * * [progress]: [ 87 / 5906 ] simplifiying candidate # 199.347 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 199.348 * * [simplify]: iters left: 6 (42 enodes) 199.373 * * [simplify]: iters left: 5 (206 enodes) 199.437 * * [simplify]: Extracting #0: cost 1 inf + 0 199.437 * * [simplify]: Extracting #1: cost 3 inf + 0 199.437 * * [simplify]: Extracting #2: cost 10 inf + 0 199.437 * * [simplify]: Extracting #3: cost 64 inf + 0 199.438 * * [simplify]: Extracting #4: cost 106 inf + 86 199.438 * * [simplify]: Extracting #5: cost 133 inf + 1188 199.440 * * [simplify]: Extracting #6: cost 205 inf + 2932 199.443 * * [simplify]: Extracting #7: cost 216 inf + 3139 199.450 * * [simplify]: Extracting #8: cost 154 inf + 18551 199.462 * * [simplify]: Extracting #9: cost 63 inf + 55788 199.477 * * [simplify]: Extracting #10: cost 36 inf + 66559 199.505 * * [simplify]: Extracting #11: cost 5 inf + 86148 199.543 * * [simplify]: Extracting #12: cost 0 inf + 91088 199.567 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 199.567 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 199.568 * * * * [progress]: [ 88 / 5906 ] simplifiying candidate # 199.568 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 199.569 * * [simplify]: iters left: 6 (47 enodes) 199.582 * * [simplify]: iters left: 5 (234 enodes) 199.667 * * [simplify]: Extracting #0: cost 1 inf + 0 199.668 * * [simplify]: Extracting #1: cost 3 inf + 0 199.668 * * [simplify]: Extracting #2: cost 10 inf + 0 199.668 * * [simplify]: Extracting #3: cost 72 inf + 0 199.668 * * [simplify]: Extracting #4: cost 126 inf + 42 199.669 * * [simplify]: Extracting #5: cost 168 inf + 332 199.671 * * [simplify]: Extracting #6: cost 236 inf + 3051 199.674 * * [simplify]: Extracting #7: cost 226 inf + 7678 199.683 * * [simplify]: Extracting #8: cost 140 inf + 30662 199.700 * * [simplify]: Extracting #9: cost 82 inf + 49011 199.720 * * [simplify]: Extracting #10: cost 43 inf + 67774 199.740 * * [simplify]: Extracting #11: cost 8 inf + 97329 199.776 * * [simplify]: Extracting #12: cost 0 inf + 107409 199.818 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 199.818 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 199.819 * * * * [progress]: [ 89 / 5906 ] simplifiying candidate # 199.820 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 199.821 * * [simplify]: iters left: 6 (42 enodes) 199.844 * * [simplify]: iters left: 5 (206 enodes) 199.911 * * [simplify]: Extracting #0: cost 1 inf + 0 199.912 * * [simplify]: Extracting #1: cost 3 inf + 0 199.912 * * [simplify]: Extracting #2: cost 10 inf + 0 199.912 * * [simplify]: Extracting #3: cost 63 inf + 0 199.912 * * [simplify]: Extracting #4: cost 107 inf + 44 199.913 * * [simplify]: Extracting #5: cost 135 inf + 1024 199.915 * * [simplify]: Extracting #6: cost 205 inf + 3012 199.917 * * [simplify]: Extracting #7: cost 216 inf + 3139 199.923 * * [simplify]: Extracting #8: cost 156 inf + 18308 199.944 * * [simplify]: Extracting #9: cost 63 inf + 55788 199.970 * * [simplify]: Extracting #10: cost 35 inf + 66851 200.003 * * [simplify]: Extracting #11: cost 6 inf + 86104 200.040 * * [simplify]: Extracting #12: cost 0 inf + 91488 200.079 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 200.079 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 200.080 * * * * [progress]: [ 90 / 5906 ] simplifiying candidate # 200.081 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 200.081 * * [simplify]: iters left: 6 (51 enodes) 200.110 * * [simplify]: iters left: 5 (252 enodes) 200.183 * * [simplify]: Extracting #0: cost 1 inf + 0 200.183 * * [simplify]: Extracting #1: cost 3 inf + 0 200.183 * * [simplify]: Extracting #2: cost 6 inf + 0 200.183 * * [simplify]: Extracting #3: cost 56 inf + 0 200.183 * * [simplify]: Extracting #4: cost 125 inf + 0 200.184 * * [simplify]: Extracting #5: cost 194 inf + 0 200.185 * * [simplify]: Extracting #6: cost 288 inf + 763 200.187 * * [simplify]: Extracting #7: cost 237 inf + 12000 200.191 * * [simplify]: Extracting #8: cost 150 inf + 28505 200.200 * * [simplify]: Extracting #9: cost 86 inf + 50845 200.217 * * [simplify]: Extracting #10: cost 34 inf + 87876 200.256 * * [simplify]: Extracting #11: cost 4 inf + 116276 200.282 * * [simplify]: Extracting #12: cost 1 inf + 119751 200.311 * * [simplify]: Extracting #13: cost 0 inf + 121576 200.337 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) 200.337 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 200.338 * * * * [progress]: [ 91 / 5906 ] simplifiying candidate # 200.338 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 200.339 * * [simplify]: iters left: 6 (52 enodes) 200.362 * * [simplify]: iters left: 5 (261 enodes) 200.433 * * [simplify]: Extracting #0: cost 1 inf + 0 200.433 * * [simplify]: Extracting #1: cost 3 inf + 0 200.433 * * [simplify]: Extracting #2: cost 6 inf + 0 200.433 * * [simplify]: Extracting #3: cost 60 inf + 0 200.434 * * [simplify]: Extracting #4: cost 148 inf + 0 200.434 * * [simplify]: Extracting #5: cost 206 inf + 126 200.436 * * [simplify]: Extracting #6: cost 264 inf + 4644 200.438 * * [simplify]: Extracting #7: cost 246 inf + 11320 200.442 * * [simplify]: Extracting #8: cost 172 inf + 24961 200.448 * * [simplify]: Extracting #9: cost 119 inf + 38810 200.460 * * [simplify]: Extracting #10: cost 64 inf + 66817 200.504 * * [simplify]: Extracting #11: cost 10 inf + 113583 200.545 * * [simplify]: Extracting #12: cost 1 inf + 121408 200.572 * * [simplify]: Extracting #13: cost 0 inf + 123273 200.608 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 200.608 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 200.609 * * * * [progress]: [ 92 / 5906 ] simplifiying candidate # 200.610 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 200.610 * * [simplify]: iters left: 6 (52 enodes) 200.640 * * [simplify]: iters left: 5 (261 enodes) 200.756 * * [simplify]: Extracting #0: cost 1 inf + 0 200.756 * * [simplify]: Extracting #1: cost 3 inf + 0 200.756 * * [simplify]: Extracting #2: cost 6 inf + 0 200.757 * * [simplify]: Extracting #3: cost 62 inf + 0 200.757 * * [simplify]: Extracting #4: cost 146 inf + 0 200.758 * * [simplify]: Extracting #5: cost 204 inf + 44 200.760 * * [simplify]: Extracting #6: cost 277 inf + 2673 200.765 * * [simplify]: Extracting #7: cost 248 inf + 11114 200.772 * * [simplify]: Extracting #8: cost 186 inf + 21937 200.783 * * [simplify]: Extracting #9: cost 125 inf + 37107 200.798 * * [simplify]: Extracting #10: cost 38 inf + 89294 200.834 * * [simplify]: Extracting #11: cost 3 inf + 115390 200.882 * * [simplify]: Extracting #12: cost 0 inf + 120945 200.930 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 200.931 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 200.932 * * * * [progress]: [ 93 / 5906 ] simplifiying candidate # 200.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 200.933 * * [simplify]: iters left: 6 (46 enodes) 200.960 * * [simplify]: iters left: 5 (225 enodes) 201.056 * * [simplify]: Extracting #0: cost 1 inf + 0 201.056 * * [simplify]: Extracting #1: cost 3 inf + 0 201.056 * * [simplify]: Extracting #2: cost 6 inf + 0 201.056 * * [simplify]: Extracting #3: cost 54 inf + 0 201.057 * * [simplify]: Extracting #4: cost 113 inf + 0 201.058 * * [simplify]: Extracting #5: cost 150 inf + 126 201.059 * * [simplify]: Extracting #6: cost 232 inf + 990 201.062 * * [simplify]: Extracting #7: cost 236 inf + 2051 201.067 * * [simplify]: Extracting #8: cost 160 inf + 15511 201.080 * * [simplify]: Extracting #9: cost 86 inf + 39467 201.106 * * [simplify]: Extracting #10: cost 42 inf + 61528 201.133 * * [simplify]: Extracting #11: cost 1 inf + 94337 201.154 * * [simplify]: Extracting #12: cost 0 inf + 95122 201.175 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) 201.176 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 201.176 * * * * [progress]: [ 94 / 5906 ] simplifiying candidate # 201.177 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 201.177 * * [simplify]: iters left: 6 (51 enodes) 201.195 * * [simplify]: iters left: 5 (253 enodes) 201.302 * * [simplify]: Extracting #0: cost 1 inf + 0 201.302 * * [simplify]: Extracting #1: cost 3 inf + 0 201.302 * * [simplify]: Extracting #2: cost 10 inf + 0 201.303 * * [simplify]: Extracting #3: cost 71 inf + 0 201.303 * * [simplify]: Extracting #4: cost 133 inf + 42 201.304 * * [simplify]: Extracting #5: cost 175 inf + 249 201.306 * * [simplify]: Extracting #6: cost 255 inf + 2003 201.309 * * [simplify]: Extracting #7: cost 244 inf + 7206 201.315 * * [simplify]: Extracting #8: cost 172 inf + 20224 201.330 * * [simplify]: Extracting #9: cost 98 inf + 43524 201.354 * * [simplify]: Extracting #10: cost 52 inf + 66628 201.388 * * [simplify]: Extracting #11: cost 24 inf + 90968 201.437 * * [simplify]: Extracting #12: cost 1 inf + 114703 201.485 * * [simplify]: Extracting #13: cost 0 inf + 116488 201.515 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 201.515 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 201.516 * * * * [progress]: [ 95 / 5906 ] simplifiying candidate # 201.516 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 201.516 * * [simplify]: iters left: 6 (46 enodes) 201.530 * * [simplify]: iters left: 5 (225 enodes) 201.596 * * [simplify]: Extracting #0: cost 1 inf + 0 201.596 * * [simplify]: Extracting #1: cost 3 inf + 0 201.596 * * [simplify]: Extracting #2: cost 10 inf + 0 201.597 * * [simplify]: Extracting #3: cost 64 inf + 0 201.597 * * [simplify]: Extracting #4: cost 116 inf + 44 201.598 * * [simplify]: Extracting #5: cost 144 inf + 740 201.600 * * [simplify]: Extracting #6: cost 224 inf + 2770 201.603 * * [simplify]: Extracting #7: cost 230 inf + 3587 201.610 * * [simplify]: Extracting #8: cost 147 inf + 23539 201.628 * * [simplify]: Extracting #9: cost 62 inf + 55642 201.656 * * [simplify]: Extracting #10: cost 24 inf + 76127 201.692 * * [simplify]: Extracting #11: cost 1 inf + 99449 201.716 * * [simplify]: Extracting #12: cost 0 inf + 101114 201.757 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 201.757 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 201.758 * * * * [progress]: [ 96 / 5906 ] simplifiying candidate # 201.759 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 201.760 * * [simplify]: iters left: 6 (51 enodes) 201.787 * * [simplify]: iters left: 5 (253 enodes) 201.866 * * [simplify]: Extracting #0: cost 1 inf + 0 201.866 * * [simplify]: Extracting #1: cost 3 inf + 0 201.866 * * [simplify]: Extracting #2: cost 10 inf + 0 201.867 * * [simplify]: Extracting #3: cost 71 inf + 0 201.867 * * [simplify]: Extracting #4: cost 133 inf + 42 201.868 * * [simplify]: Extracting #5: cost 175 inf + 248 201.870 * * [simplify]: Extracting #6: cost 250 inf + 3293 201.873 * * [simplify]: Extracting #7: cost 241 inf + 7379 201.879 * * [simplify]: Extracting #8: cost 171 inf + 20304 201.887 * * [simplify]: Extracting #9: cost 101 inf + 42551 201.898 * * [simplify]: Extracting #10: cost 52 inf + 67588 201.915 * * [simplify]: Extracting #11: cost 24 inf + 91928 201.940 * * [simplify]: Extracting #12: cost 1 inf + 115663 201.965 * * [simplify]: Extracting #13: cost 0 inf + 117448 202.001 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 202.001 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 202.002 * * * * [progress]: [ 97 / 5906 ] simplifiying candidate # 202.003 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 202.003 * * [simplify]: iters left: 6 (46 enodes) 202.030 * * [simplify]: iters left: 5 (225 enodes) 202.106 * * [simplify]: Extracting #0: cost 1 inf + 0 202.106 * * [simplify]: Extracting #1: cost 3 inf + 0 202.106 * * [simplify]: Extracting #2: cost 10 inf + 0 202.107 * * [simplify]: Extracting #3: cost 63 inf + 0 202.107 * * [simplify]: Extracting #4: cost 116 inf + 44 202.107 * * [simplify]: Extracting #5: cost 143 inf + 782 202.108 * * [simplify]: Extracting #6: cost 223 inf + 2932 202.110 * * [simplify]: Extracting #7: cost 231 inf + 3425 202.113 * * [simplify]: Extracting #8: cost 152 inf + 21335 202.124 * * [simplify]: Extracting #9: cost 62 inf + 55823 202.151 * * [simplify]: Extracting #10: cost 24 inf + 76569 202.191 * * [simplify]: Extracting #11: cost 3 inf + 94639 202.231 * * [simplify]: Extracting #12: cost 0 inf + 99354 202.271 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 202.271 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 202.271 * * * * [progress]: [ 98 / 5906 ] simplifiying candidate # 202.272 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 202.272 * * [simplify]: iters left: 6 (51 enodes) 202.286 * * [simplify]: iters left: 5 (256 enodes) 202.394 * * [simplify]: Extracting #0: cost 1 inf + 0 202.394 * * [simplify]: Extracting #1: cost 3 inf + 0 202.394 * * [simplify]: Extracting #2: cost 6 inf + 0 202.394 * * [simplify]: Extracting #3: cost 56 inf + 0 202.395 * * [simplify]: Extracting #4: cost 130 inf + 0 202.396 * * [simplify]: Extracting #5: cost 213 inf + 0 202.397 * * [simplify]: Extracting #6: cost 309 inf + 763 202.401 * * [simplify]: Extracting #7: cost 261 inf + 11142 202.410 * * [simplify]: Extracting #8: cost 145 inf + 39279 202.422 * * [simplify]: Extracting #9: cost 59 inf + 70162 202.446 * * [simplify]: Extracting #10: cost 12 inf + 113702 202.491 * * [simplify]: Extracting #11: cost 1 inf + 129017 202.518 * * [simplify]: Extracting #12: cost 0 inf + 131082 202.545 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 202.545 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 202.546 * * * * [progress]: [ 99 / 5906 ] simplifiying candidate # 202.547 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 202.547 * * [simplify]: iters left: 6 (52 enodes) 202.576 * * [simplify]: iters left: 5 (265 enodes) 202.652 * * [simplify]: Extracting #0: cost 1 inf + 0 202.652 * * [simplify]: Extracting #1: cost 3 inf + 0 202.652 * * [simplify]: Extracting #2: cost 6 inf + 0 202.652 * * [simplify]: Extracting #3: cost 60 inf + 0 202.653 * * [simplify]: Extracting #4: cost 153 inf + 0 202.653 * * [simplify]: Extracting #5: cost 226 inf + 85 202.655 * * [simplify]: Extracting #6: cost 288 inf + 4880 202.657 * * [simplify]: Extracting #7: cost 254 inf + 12419 202.666 * * [simplify]: Extracting #8: cost 147 inf + 39204 202.691 * * [simplify]: Extracting #9: cost 65 inf + 70601 202.733 * * [simplify]: Extracting #10: cost 13 inf + 116157 202.770 * * [simplify]: Extracting #11: cost 0 inf + 132699 202.807 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 202.807 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 202.808 * * * * [progress]: [ 100 / 5906 ] simplifiying candidate # 202.809 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 202.810 * * [simplify]: iters left: 6 (52 enodes) 202.827 * * [simplify]: iters left: 5 (265 enodes) 202.907 * * [simplify]: Extracting #0: cost 1 inf + 0 202.907 * * [simplify]: Extracting #1: cost 3 inf + 0 202.907 * * [simplify]: Extracting #2: cost 6 inf + 0 202.907 * * [simplify]: Extracting #3: cost 62 inf + 0 202.908 * * [simplify]: Extracting #4: cost 151 inf + 0 202.909 * * [simplify]: Extracting #5: cost 217 inf + 451 202.911 * * [simplify]: Extracting #6: cost 287 inf + 3631 202.916 * * [simplify]: Extracting #7: cost 249 inf + 13725 202.924 * * [simplify]: Extracting #8: cost 176 inf + 26239 202.935 * * [simplify]: Extracting #9: cost 99 inf + 55168 202.950 * * [simplify]: Extracting #10: cost 49 inf + 81106 202.988 * * [simplify]: Extracting #11: cost 11 inf + 116616 203.038 * * [simplify]: Extracting #12: cost 0 inf + 131851 203.068 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))))))) 203.068 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 203.069 * * * * [progress]: [ 101 / 5906 ] simplifiying candidate # 203.069 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 203.069 * * [simplify]: iters left: 6 (46 enodes) 203.089 * * [simplify]: iters left: 5 (229 enodes) 203.186 * * [simplify]: Extracting #0: cost 1 inf + 0 203.186 * * [simplify]: Extracting #1: cost 3 inf + 0 203.186 * * [simplify]: Extracting #2: cost 6 inf + 0 203.186 * * [simplify]: Extracting #3: cost 54 inf + 0 203.187 * * [simplify]: Extracting #4: cost 119 inf + 0 203.188 * * [simplify]: Extracting #5: cost 168 inf + 249 203.189 * * [simplify]: Extracting #6: cost 246 inf + 2206 203.192 * * [simplify]: Extracting #7: cost 251 inf + 2898 203.199 * * [simplify]: Extracting #8: cost 158 inf + 22030 203.217 * * [simplify]: Extracting #9: cost 78 inf + 49661 203.233 * * [simplify]: Extracting #10: cost 35 inf + 83130 203.259 * * [simplify]: Extracting #11: cost 8 inf + 104739 203.293 * * [simplify]: Extracting #12: cost 0 inf + 111870 203.324 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) 203.324 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 203.325 * * * * [progress]: [ 102 / 5906 ] simplifiying candidate # 203.326 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 203.326 * * [simplify]: iters left: 6 (51 enodes) 203.356 * * [simplify]: iters left: 5 (257 enodes) 203.444 * * [simplify]: Extracting #0: cost 1 inf + 0 203.444 * * [simplify]: Extracting #1: cost 3 inf + 0 203.444 * * [simplify]: Extracting #2: cost 10 inf + 0 203.444 * * [simplify]: Extracting #3: cost 74 inf + 0 203.445 * * [simplify]: Extracting #4: cost 136 inf + 42 203.446 * * [simplify]: Extracting #5: cost 192 inf + 249 203.448 * * [simplify]: Extracting #6: cost 277 inf + 1679 203.450 * * [simplify]: Extracting #7: cost 254 inf + 8953 203.454 * * [simplify]: Extracting #8: cost 172 inf + 23351 203.464 * * [simplify]: Extracting #9: cost 98 inf + 49230 203.478 * * [simplify]: Extracting #10: cost 41 inf + 82216 203.517 * * [simplify]: Extracting #11: cost 5 inf + 115156 203.544 * * [simplify]: Extracting #12: cost 1 inf + 122296 203.576 * * [simplify]: Extracting #13: cost 0 inf + 124361 203.629 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 203.629 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 203.631 * * * * [progress]: [ 103 / 5906 ] simplifiying candidate # 203.631 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 203.632 * * [simplify]: iters left: 6 (46 enodes) 203.653 * * [simplify]: iters left: 5 (229 enodes) 203.719 * * [simplify]: Extracting #0: cost 1 inf + 0 203.719 * * [simplify]: Extracting #1: cost 3 inf + 0 203.719 * * [simplify]: Extracting #2: cost 10 inf + 0 203.720 * * [simplify]: Extracting #3: cost 66 inf + 0 203.720 * * [simplify]: Extracting #4: cost 117 inf + 44 203.720 * * [simplify]: Extracting #5: cost 160 inf + 618 203.721 * * [simplify]: Extracting #6: cost 241 inf + 2770 203.722 * * [simplify]: Extracting #7: cost 247 inf + 3259 203.726 * * [simplify]: Extracting #8: cost 160 inf + 22331 203.735 * * [simplify]: Extracting #9: cost 61 inf + 58370 203.763 * * [simplify]: Extracting #10: cost 20 inf + 86888 203.798 * * [simplify]: Extracting #11: cost 0 inf + 104000 203.821 * * [simplify]: Extracting #12: cost 0 inf + 103760 203.864 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 203.865 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 203.866 * * * * [progress]: [ 104 / 5906 ] simplifiying candidate # 203.866 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 203.867 * * [simplify]: iters left: 6 (51 enodes) 203.894 * * [simplify]: iters left: 5 (257 enodes) 203.965 * * [simplify]: Extracting #0: cost 1 inf + 0 203.965 * * [simplify]: Extracting #1: cost 3 inf + 0 203.965 * * [simplify]: Extracting #2: cost 10 inf + 0 203.965 * * [simplify]: Extracting #3: cost 74 inf + 0 203.966 * * [simplify]: Extracting #4: cost 136 inf + 42 203.967 * * [simplify]: Extracting #5: cost 193 inf + 207 203.969 * * [simplify]: Extracting #6: cost 277 inf + 1717 203.973 * * [simplify]: Extracting #7: cost 251 inf + 9840 203.980 * * [simplify]: Extracting #8: cost 174 inf + 22806 203.988 * * [simplify]: Extracting #9: cost 99 inf + 48763 204.003 * * [simplify]: Extracting #10: cost 40 inf + 83721 204.029 * * [simplify]: Extracting #11: cost 5 inf + 116116 204.072 * * [simplify]: Extracting #12: cost 1 inf + 123256 204.103 * * [simplify]: Extracting #13: cost 0 inf + 125321 204.130 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 204.130 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 204.131 * * * * [progress]: [ 105 / 5906 ] simplifiying candidate # 204.131 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 204.131 * * [simplify]: iters left: 6 (46 enodes) 204.155 * * [simplify]: iters left: 5 (229 enodes) 204.232 * * [simplify]: Extracting #0: cost 1 inf + 0 204.232 * * [simplify]: Extracting #1: cost 3 inf + 0 204.233 * * [simplify]: Extracting #2: cost 10 inf + 0 204.233 * * [simplify]: Extracting #3: cost 65 inf + 0 204.233 * * [simplify]: Extracting #4: cost 117 inf + 44 204.234 * * [simplify]: Extracting #5: cost 157 inf + 864 204.236 * * [simplify]: Extracting #6: cost 240 inf + 2932 204.239 * * [simplify]: Extracting #7: cost 247 inf + 3259 204.246 * * [simplify]: Extracting #8: cost 149 inf + 24233 204.264 * * [simplify]: Extracting #9: cost 61 inf + 58488 204.296 * * [simplify]: Extracting #10: cost 20 inf + 88594 204.325 * * [simplify]: Extracting #11: cost 0 inf + 104480 204.357 * * [simplify]: Extracting #12: cost 0 inf + 104240 204.399 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 204.399 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 204.400 * * * * [progress]: [ 106 / 5906 ] simplifiying candidate # 204.401 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 204.402 * * [simplify]: iters left: 6 (52 enodes) 204.426 * * [simplify]: iters left: 5 (254 enodes) 204.525 * * [simplify]: Extracting #0: cost 1 inf + 0 204.525 * * [simplify]: Extracting #1: cost 3 inf + 0 204.525 * * [simplify]: Extracting #2: cost 6 inf + 0 204.525 * * [simplify]: Extracting #3: cost 56 inf + 0 204.526 * * [simplify]: Extracting #4: cost 130 inf + 0 204.527 * * [simplify]: Extracting #5: cost 215 inf + 0 204.528 * * [simplify]: Extracting #6: cost 312 inf + 510 204.531 * * [simplify]: Extracting #7: cost 267 inf + 10727 204.541 * * [simplify]: Extracting #8: cost 151 inf + 36658 204.565 * * [simplify]: Extracting #9: cost 55 inf + 74128 204.590 * * [simplify]: Extracting #10: cost 12 inf + 117785 204.632 * * [simplify]: Extracting #11: cost 1 inf + 131140 204.689 * * [simplify]: Extracting #12: cost 0 inf + 133205 204.739 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 204.739 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 204.740 * * * * [progress]: [ 107 / 5906 ] simplifiying candidate # 204.740 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 204.741 * * [simplify]: iters left: 6 (53 enodes) 204.756 * * [simplify]: iters left: 5 (263 enodes) 204.833 * * [simplify]: Extracting #0: cost 1 inf + 0 204.833 * * [simplify]: Extracting #1: cost 3 inf + 0 204.833 * * [simplify]: Extracting #2: cost 6 inf + 0 204.833 * * [simplify]: Extracting #3: cost 60 inf + 0 204.834 * * [simplify]: Extracting #4: cost 153 inf + 0 204.835 * * [simplify]: Extracting #5: cost 228 inf + 85 204.837 * * [simplify]: Extracting #6: cost 288 inf + 4401 204.839 * * [simplify]: Extracting #7: cost 254 inf + 11663 204.843 * * [simplify]: Extracting #8: cost 188 inf + 24117 204.851 * * [simplify]: Extracting #9: cost 116 inf + 46622 204.864 * * [simplify]: Extracting #10: cost 54 inf + 76448 204.888 * * [simplify]: Extracting #11: cost 15 inf + 112847 204.936 * * [simplify]: Extracting #12: cost 0 inf + 131142 204.987 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 204.987 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 204.988 * * * * [progress]: [ 108 / 5906 ] simplifiying candidate # 204.988 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 204.989 * * [simplify]: iters left: 6 (53 enodes) 205.011 * * [simplify]: iters left: 5 (263 enodes) 205.101 * * [simplify]: Extracting #0: cost 1 inf + 0 205.101 * * [simplify]: Extracting #1: cost 3 inf + 0 205.101 * * [simplify]: Extracting #2: cost 6 inf + 0 205.101 * * [simplify]: Extracting #3: cost 62 inf + 0 205.102 * * [simplify]: Extracting #4: cost 151 inf + 0 205.103 * * [simplify]: Extracting #5: cost 225 inf + 44 205.106 * * [simplify]: Extracting #6: cost 284 inf + 4723 205.111 * * [simplify]: Extracting #7: cost 258 inf + 10707 205.121 * * [simplify]: Extracting #8: cost 156 inf + 35786 205.146 * * [simplify]: Extracting #9: cost 59 inf + 72553 205.191 * * [simplify]: Extracting #10: cost 14 inf + 115224 205.222 * * [simplify]: Extracting #11: cost 0 inf + 132174 205.275 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 205.275 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 205.276 * * * * [progress]: [ 109 / 5906 ] simplifiying candidate # 205.277 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 205.278 * * [simplify]: iters left: 6 (47 enodes) 205.303 * * [simplify]: iters left: 5 (227 enodes) 205.401 * * [simplify]: Extracting #0: cost 1 inf + 0 205.401 * * [simplify]: Extracting #1: cost 3 inf + 0 205.401 * * [simplify]: Extracting #2: cost 6 inf + 0 205.402 * * [simplify]: Extracting #3: cost 54 inf + 0 205.402 * * [simplify]: Extracting #4: cost 119 inf + 0 205.403 * * [simplify]: Extracting #5: cost 173 inf + 44 205.405 * * [simplify]: Extracting #6: cost 253 inf + 1314 205.407 * * [simplify]: Extracting #7: cost 237 inf + 4281 205.414 * * [simplify]: Extracting #8: cost 156 inf + 20978 205.429 * * [simplify]: Extracting #9: cost 91 inf + 46601 205.443 * * [simplify]: Extracting #10: cost 44 inf + 66186 205.463 * * [simplify]: Extracting #11: cost 11 inf + 95598 205.486 * * [simplify]: Extracting #12: cost 1 inf + 108368 205.521 * * [simplify]: Extracting #13: cost 0 inf + 110233 205.545 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 205.545 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 205.546 * * * * [progress]: [ 110 / 5906 ] simplifiying candidate # 205.546 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 205.547 * * [simplify]: iters left: 6 (52 enodes) 205.565 * * [simplify]: iters left: 5 (255 enodes) 205.675 * * [simplify]: Extracting #0: cost 1 inf + 0 205.675 * * [simplify]: Extracting #1: cost 3 inf + 0 205.675 * * [simplify]: Extracting #2: cost 10 inf + 0 205.676 * * [simplify]: Extracting #3: cost 74 inf + 0 205.676 * * [simplify]: Extracting #4: cost 137 inf + 1 205.677 * * [simplify]: Extracting #5: cost 195 inf + 207 205.679 * * [simplify]: Extracting #6: cost 275 inf + 2564 205.683 * * [simplify]: Extracting #7: cost 255 inf + 7271 205.690 * * [simplify]: Extracting #8: cost 170 inf + 25158 205.707 * * [simplify]: Extracting #9: cost 104 inf + 48990 205.732 * * [simplify]: Extracting #10: cost 49 inf + 74259 205.753 * * [simplify]: Extracting #11: cost 6 inf + 116934 205.801 * * [simplify]: Extracting #12: cost 1 inf + 123099 205.856 * * [simplify]: Extracting #13: cost 0 inf + 125124 205.890 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 205.890 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 205.890 * * * * [progress]: [ 111 / 5906 ] simplifiying candidate # 205.891 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 205.891 * * [simplify]: iters left: 6 (47 enodes) 205.909 * * [simplify]: iters left: 5 (227 enodes) 205.970 * * [simplify]: Extracting #0: cost 1 inf + 0 205.971 * * [simplify]: Extracting #1: cost 3 inf + 0 205.971 * * [simplify]: Extracting #2: cost 10 inf + 0 205.971 * * [simplify]: Extracting #3: cost 66 inf + 0 205.971 * * [simplify]: Extracting #4: cost 117 inf + 44 205.972 * * [simplify]: Extracting #5: cost 158 inf + 1226 205.973 * * [simplify]: Extracting #6: cost 241 inf + 2972 205.974 * * [simplify]: Extracting #7: cost 238 inf + 3875 205.978 * * [simplify]: Extracting #8: cost 134 inf + 28476 205.991 * * [simplify]: Extracting #9: cost 49 inf + 61920 206.017 * * [simplify]: Extracting #10: cost 6 inf + 96613 206.038 * * [simplify]: Extracting #11: cost 1 inf + 103258 206.077 * * [simplify]: Extracting #12: cost 0 inf + 104963 206.119 * * [simplify]: Extracting #13: cost 0 inf + 104883 206.160 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 206.160 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 206.161 * * * * [progress]: [ 112 / 5906 ] simplifiying candidate # 206.162 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 206.162 * * [simplify]: iters left: 6 (52 enodes) 206.193 * * [simplify]: iters left: 5 (255 enodes) 206.284 * * [simplify]: Extracting #0: cost 1 inf + 0 206.284 * * [simplify]: Extracting #1: cost 3 inf + 0 206.284 * * [simplify]: Extracting #2: cost 10 inf + 0 206.284 * * [simplify]: Extracting #3: cost 74 inf + 0 206.285 * * [simplify]: Extracting #4: cost 137 inf + 1 206.286 * * [simplify]: Extracting #5: cost 195 inf + 207 206.288 * * [simplify]: Extracting #6: cost 272 inf + 3128 206.295 * * [simplify]: Extracting #7: cost 249 inf + 8842 206.300 * * [simplify]: Extracting #8: cost 168 inf + 26294 206.311 * * [simplify]: Extracting #9: cost 105 inf + 48825 206.324 * * [simplify]: Extracting #10: cost 50 inf + 74474 206.350 * * [simplify]: Extracting #11: cost 9 inf + 115219 206.399 * * [simplify]: Extracting #12: cost 1 inf + 124059 206.445 * * [simplify]: Extracting #13: cost 0 inf + 126084 206.472 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 206.472 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 206.473 * * * * [progress]: [ 113 / 5906 ] simplifiying candidate # 206.473 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 206.473 * * [simplify]: iters left: 6 (47 enodes) 206.486 * * [simplify]: iters left: 5 (227 enodes) 206.583 * * [simplify]: Extracting #0: cost 1 inf + 0 206.583 * * [simplify]: Extracting #1: cost 3 inf + 0 206.583 * * [simplify]: Extracting #2: cost 10 inf + 0 206.584 * * [simplify]: Extracting #3: cost 65 inf + 0 206.584 * * [simplify]: Extracting #4: cost 116 inf + 86 206.586 * * [simplify]: Extracting #5: cost 155 inf + 1432 206.588 * * [simplify]: Extracting #6: cost 241 inf + 2932 206.591 * * [simplify]: Extracting #7: cost 236 inf + 4279 206.599 * * [simplify]: Extracting #8: cost 138 inf + 25592 206.617 * * [simplify]: Extracting #9: cost 55 inf + 58094 206.644 * * [simplify]: Extracting #10: cost 11 inf + 93448 206.665 * * [simplify]: Extracting #11: cost 1 inf + 104738 206.703 * * [simplify]: Extracting #12: cost 0 inf + 106483 206.727 * * [simplify]: Extracting #13: cost 0 inf + 106403 206.760 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 206.760 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 206.761 * * * * [progress]: [ 114 / 5906 ] simplifiying candidate # 206.761 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 206.762 * * [simplify]: iters left: 6 (52 enodes) 206.777 * * [simplify]: iters left: 5 (254 enodes) 206.852 * * [simplify]: Extracting #0: cost 1 inf + 0 206.852 * * [simplify]: Extracting #1: cost 3 inf + 0 206.852 * * [simplify]: Extracting #2: cost 6 inf + 0 206.852 * * [simplify]: Extracting #3: cost 56 inf + 0 206.852 * * [simplify]: Extracting #4: cost 130 inf + 0 206.853 * * [simplify]: Extracting #5: cost 210 inf + 0 206.855 * * [simplify]: Extracting #6: cost 301 inf + 882 206.858 * * [simplify]: Extracting #7: cost 255 inf + 11213 206.866 * * [simplify]: Extracting #8: cost 167 inf + 27711 206.879 * * [simplify]: Extracting #9: cost 120 inf + 40706 206.903 * * [simplify]: Extracting #10: cost 54 inf + 72331 206.946 * * [simplify]: Extracting #11: cost 7 inf + 120695 206.988 * * [simplify]: Extracting #12: cost 1 inf + 129045 207.016 * * [simplify]: Extracting #13: cost 0 inf + 131110 207.065 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) 207.065 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 207.066 * * * * [progress]: [ 115 / 5906 ] simplifiying candidate # 207.066 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 207.067 * * [simplify]: iters left: 6 (53 enodes) 207.092 * * [simplify]: iters left: 5 (263 enodes) 207.180 * * [simplify]: Extracting #0: cost 1 inf + 0 207.180 * * [simplify]: Extracting #1: cost 3 inf + 0 207.180 * * [simplify]: Extracting #2: cost 6 inf + 0 207.180 * * [simplify]: Extracting #3: cost 60 inf + 0 207.181 * * [simplify]: Extracting #4: cost 153 inf + 0 207.182 * * [simplify]: Extracting #5: cost 223 inf + 85 207.185 * * [simplify]: Extracting #6: cost 279 inf + 4609 207.190 * * [simplify]: Extracting #7: cost 243 inf + 13010 207.197 * * [simplify]: Extracting #8: cost 178 inf + 26457 207.205 * * [simplify]: Extracting #9: cost 117 inf + 44421 207.220 * * [simplify]: Extracting #10: cost 54 inf + 75740 207.249 * * [simplify]: Extracting #11: cost 13 inf + 116526 207.299 * * [simplify]: Extracting #12: cost 0 inf + 133847 207.352 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 207.352 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 207.353 * * * * [progress]: [ 116 / 5906 ] simplifiying candidate # 207.353 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 207.354 * * [simplify]: iters left: 6 (53 enodes) 207.385 * * [simplify]: iters left: 5 (263 enodes) 207.478 * * [simplify]: Extracting #0: cost 1 inf + 0 207.478 * * [simplify]: Extracting #1: cost 3 inf + 0 207.478 * * [simplify]: Extracting #2: cost 6 inf + 0 207.479 * * [simplify]: Extracting #3: cost 62 inf + 0 207.479 * * [simplify]: Extracting #4: cost 151 inf + 0 207.480 * * [simplify]: Extracting #5: cost 220 inf + 44 207.483 * * [simplify]: Extracting #6: cost 279 inf + 4284 207.486 * * [simplify]: Extracting #7: cost 233 inf + 15809 207.491 * * [simplify]: Extracting #8: cost 174 inf + 26757 207.502 * * [simplify]: Extracting #9: cost 96 inf + 56327 207.520 * * [simplify]: Extracting #10: cost 45 inf + 81714 207.558 * * [simplify]: Extracting #11: cost 15 inf + 113064 207.607 * * [simplify]: Extracting #12: cost 0 inf + 131359 207.660 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 207.660 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 207.661 * * * * [progress]: [ 117 / 5906 ] simplifiying candidate # 207.661 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 207.662 * * [simplify]: iters left: 6 (47 enodes) 207.688 * * [simplify]: iters left: 5 (227 enodes) 207.742 * * [simplify]: Extracting #0: cost 1 inf + 0 207.742 * * [simplify]: Extracting #1: cost 3 inf + 0 207.742 * * [simplify]: Extracting #2: cost 6 inf + 0 207.742 * * [simplify]: Extracting #3: cost 54 inf + 0 207.743 * * [simplify]: Extracting #4: cost 119 inf + 0 207.744 * * [simplify]: Extracting #5: cost 168 inf + 44 207.745 * * [simplify]: Extracting #6: cost 247 inf + 1357 207.749 * * [simplify]: Extracting #7: cost 227 inf + 5748 207.756 * * [simplify]: Extracting #8: cost 152 inf + 21789 207.773 * * [simplify]: Extracting #9: cost 94 inf + 44825 207.795 * * [simplify]: Extracting #10: cost 45 inf + 64426 207.827 * * [simplify]: Extracting #11: cost 12 inf + 93198 207.861 * * [simplify]: Extracting #12: cost 1 inf + 107313 207.884 * * [simplify]: Extracting #13: cost 0 inf + 109218 207.928 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 207.928 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 207.929 * * * * [progress]: [ 118 / 5906 ] simplifiying candidate # 207.930 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 207.930 * * [simplify]: iters left: 6 (52 enodes) 207.960 * * [simplify]: iters left: 5 (255 enodes) 208.037 * * [simplify]: Extracting #0: cost 1 inf + 0 208.037 * * [simplify]: Extracting #1: cost 3 inf + 0 208.037 * * [simplify]: Extracting #2: cost 10 inf + 0 208.038 * * [simplify]: Extracting #3: cost 74 inf + 0 208.038 * * [simplify]: Extracting #4: cost 137 inf + 1 208.039 * * [simplify]: Extracting #5: cost 190 inf + 207 208.041 * * [simplify]: Extracting #6: cost 265 inf + 2855 208.049 * * [simplify]: Extracting #7: cost 233 inf + 10835 208.056 * * [simplify]: Extracting #8: cost 160 inf + 26877 208.064 * * [simplify]: Extracting #9: cost 108 inf + 45097 208.076 * * [simplify]: Extracting #10: cost 52 inf + 70049 208.106 * * [simplify]: Extracting #11: cost 12 inf + 109529 208.135 * * [simplify]: Extracting #12: cost 1 inf + 122964 208.177 * * [simplify]: Extracting #13: cost 0 inf + 125069 208.228 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 208.228 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 208.229 * * * * [progress]: [ 119 / 5906 ] simplifiying candidate # 208.230 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 208.231 * * [simplify]: iters left: 6 (47 enodes) 208.255 * * [simplify]: iters left: 5 (227 enodes) 208.322 * * [simplify]: Extracting #0: cost 1 inf + 0 208.322 * * [simplify]: Extracting #1: cost 3 inf + 0 208.322 * * [simplify]: Extracting #2: cost 10 inf + 0 208.322 * * [simplify]: Extracting #3: cost 66 inf + 0 208.323 * * [simplify]: Extracting #4: cost 117 inf + 44 208.323 * * [simplify]: Extracting #5: cost 153 inf + 1186 208.324 * * [simplify]: Extracting #6: cost 234 inf + 3016 208.326 * * [simplify]: Extracting #7: cost 220 inf + 6196 208.331 * * [simplify]: Extracting #8: cost 118 inf + 32496 208.342 * * [simplify]: Extracting #9: cost 50 inf + 63883 208.360 * * [simplify]: Extracting #10: cost 7 inf + 95439 208.383 * * [simplify]: Extracting #11: cost 1 inf + 101523 208.423 * * [simplify]: Extracting #12: cost 0 inf + 103308 208.466 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 208.466 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 208.468 * * * * [progress]: [ 120 / 5906 ] simplifiying candidate # 208.468 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 208.469 * * [simplify]: iters left: 6 (52 enodes) 208.487 * * [simplify]: iters left: 5 (255 enodes) 208.549 * * [simplify]: Extracting #0: cost 1 inf + 0 208.549 * * [simplify]: Extracting #1: cost 3 inf + 0 208.550 * * [simplify]: Extracting #2: cost 10 inf + 0 208.550 * * [simplify]: Extracting #3: cost 74 inf + 0 208.550 * * [simplify]: Extracting #4: cost 137 inf + 1 208.550 * * [simplify]: Extracting #5: cost 190 inf + 207 208.552 * * [simplify]: Extracting #6: cost 263 inf + 3177 208.554 * * [simplify]: Extracting #7: cost 229 inf + 12114 208.558 * * [simplify]: Extracting #8: cost 159 inf + 27189 208.566 * * [simplify]: Extracting #9: cost 107 inf + 46983 208.580 * * [simplify]: Extracting #10: cost 49 inf + 73284 208.601 * * [simplify]: Extracting #11: cost 7 inf + 116694 208.627 * * [simplify]: Extracting #12: cost 0 inf + 124829 208.661 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 208.661 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 208.662 * * * * [progress]: [ 121 / 5906 ] simplifiying candidate # 208.663 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 208.663 * * [simplify]: iters left: 6 (47 enodes) 208.688 * * [simplify]: iters left: 5 (227 enodes) 208.756 * * [simplify]: Extracting #0: cost 1 inf + 0 208.756 * * [simplify]: Extracting #1: cost 3 inf + 0 208.756 * * [simplify]: Extracting #2: cost 10 inf + 0 208.756 * * [simplify]: Extracting #3: cost 65 inf + 0 208.757 * * [simplify]: Extracting #4: cost 116 inf + 86 208.758 * * [simplify]: Extracting #5: cost 150 inf + 1432 208.763 * * [simplify]: Extracting #6: cost 234 inf + 2976 208.766 * * [simplify]: Extracting #7: cost 226 inf + 5502 208.775 * * [simplify]: Extracting #8: cost 122 inf + 32099 208.794 * * [simplify]: Extracting #9: cost 58 inf + 59412 208.827 * * [simplify]: Extracting #10: cost 7 inf + 96679 208.868 * * [simplify]: Extracting #11: cost 1 inf + 101843 208.908 * * [simplify]: Extracting #12: cost 0 inf + 103628 208.950 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 208.950 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 208.951 * * * * [progress]: [ 122 / 5906 ] simplifiying candidate # 208.952 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 208.952 * * [simplify]: iters left: 6 (52 enodes) 208.975 * * [simplify]: iters left: 5 (255 enodes) 209.040 * * [simplify]: Extracting #0: cost 1 inf + 0 209.040 * * [simplify]: Extracting #1: cost 3 inf + 0 209.040 * * [simplify]: Extracting #2: cost 6 inf + 0 209.040 * * [simplify]: Extracting #3: cost 56 inf + 0 209.041 * * [simplify]: Extracting #4: cost 130 inf + 0 209.041 * * [simplify]: Extracting #5: cost 214 inf + 0 209.042 * * [simplify]: Extracting #6: cost 311 inf + 722 209.043 * * [simplify]: Extracting #7: cost 277 inf + 5990 209.048 * * [simplify]: Extracting #8: cost 158 inf + 33737 209.066 * * [simplify]: Extracting #9: cost 80 inf + 56944 209.086 * * [simplify]: Extracting #10: cost 42 inf + 82980 209.108 * * [simplify]: Extracting #11: cost 7 inf + 123630 209.157 * * [simplify]: Extracting #12: cost 1 inf + 132580 209.211 * * [simplify]: Extracting #13: cost 0 inf + 134685 209.263 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 209.263 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 209.264 * * * * [progress]: [ 123 / 5906 ] simplifiying candidate # 209.264 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 209.265 * * [simplify]: iters left: 6 (53 enodes) 209.293 * * [simplify]: iters left: 5 (264 enodes) 209.409 * * [simplify]: Extracting #0: cost 1 inf + 0 209.409 * * [simplify]: Extracting #1: cost 3 inf + 0 209.409 * * [simplify]: Extracting #2: cost 6 inf + 0 209.410 * * [simplify]: Extracting #3: cost 60 inf + 0 209.410 * * [simplify]: Extracting #4: cost 153 inf + 0 209.411 * * [simplify]: Extracting #5: cost 228 inf + 44 209.414 * * [simplify]: Extracting #6: cost 293 inf + 3793 209.419 * * [simplify]: Extracting #7: cost 261 inf + 10008 209.426 * * [simplify]: Extracting #8: cost 193 inf + 21976 209.440 * * [simplify]: Extracting #9: cost 118 inf + 45959 209.463 * * [simplify]: Extracting #10: cost 33 inf + 102034 209.499 * * [simplify]: Extracting #11: cost 1 inf + 132557 209.551 * * [simplify]: Extracting #12: cost 0 inf + 134662 209.604 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 209.604 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 209.605 * * * * [progress]: [ 124 / 5906 ] simplifiying candidate # 209.606 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 209.606 * * [simplify]: iters left: 6 (53 enodes) 209.634 * * [simplify]: iters left: 5 (264 enodes) 209.732 * * [simplify]: Extracting #0: cost 1 inf + 0 209.732 * * [simplify]: Extracting #1: cost 3 inf + 0 209.732 * * [simplify]: Extracting #2: cost 6 inf + 0 209.732 * * [simplify]: Extracting #3: cost 62 inf + 0 209.732 * * [simplify]: Extracting #4: cost 151 inf + 0 209.733 * * [simplify]: Extracting #5: cost 224 inf + 44 209.734 * * [simplify]: Extracting #6: cost 290 inf + 3951 209.738 * * [simplify]: Extracting #7: cost 258 inf + 11389 209.747 * * [simplify]: Extracting #8: cost 178 inf + 26982 209.769 * * [simplify]: Extracting #9: cost 69 inf + 70134 209.812 * * [simplify]: Extracting #10: cost 20 inf + 110337 209.856 * * [simplify]: Extracting #11: cost 0 inf + 135254 209.893 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 209.893 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 209.894 * * * * [progress]: [ 125 / 5906 ] simplifiying candidate # 209.895 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 209.895 * * [simplify]: iters left: 6 (47 enodes) 209.920 * * [simplify]: iters left: 5 (228 enodes) 210.000 * * [simplify]: Extracting #0: cost 1 inf + 0 210.000 * * [simplify]: Extracting #1: cost 3 inf + 0 210.000 * * [simplify]: Extracting #2: cost 6 inf + 0 210.000 * * [simplify]: Extracting #3: cost 54 inf + 0 210.001 * * [simplify]: Extracting #4: cost 119 inf + 0 210.001 * * [simplify]: Extracting #5: cost 172 inf + 44 210.002 * * [simplify]: Extracting #6: cost 252 inf + 1355 210.003 * * [simplify]: Extracting #7: cost 244 inf + 3508 210.007 * * [simplify]: Extracting #8: cost 135 inf + 28504 210.017 * * [simplify]: Extracting #9: cost 67 inf + 55683 210.035 * * [simplify]: Extracting #10: cost 11 inf + 98605 210.068 * * [simplify]: Extracting #11: cost 1 inf + 107448 210.112 * * [simplify]: Extracting #12: cost 0 inf + 109153 210.155 * * [simplify]: Extracting #13: cost 0 inf + 109113 210.184 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 210.184 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 210.185 * * * * [progress]: [ 126 / 5906 ] simplifiying candidate # 210.185 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 210.185 * * [simplify]: iters left: 6 (52 enodes) 210.204 * * [simplify]: iters left: 5 (256 enodes) 210.269 * * [simplify]: Extracting #0: cost 1 inf + 0 210.269 * * [simplify]: Extracting #1: cost 3 inf + 0 210.269 * * [simplify]: Extracting #2: cost 10 inf + 0 210.269 * * [simplify]: Extracting #3: cost 74 inf + 0 210.270 * * [simplify]: Extracting #4: cost 136 inf + 42 210.270 * * [simplify]: Extracting #5: cost 195 inf + 165 210.271 * * [simplify]: Extracting #6: cost 273 inf + 3048 210.273 * * [simplify]: Extracting #7: cost 249 inf + 8862 210.277 * * [simplify]: Extracting #8: cost 168 inf + 26483 210.286 * * [simplify]: Extracting #9: cost 111 inf + 43401 210.303 * * [simplify]: Extracting #10: cost 54 inf + 70256 210.342 * * [simplify]: Extracting #11: cost 13 inf + 112239 210.393 * * [simplify]: Extracting #12: cost 1 inf + 124819 210.436 * * [simplify]: Extracting #13: cost 0 inf + 126884 210.464 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 210.465 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 210.465 * * * * [progress]: [ 127 / 5906 ] simplifiying candidate # 210.465 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 210.466 * * [simplify]: iters left: 6 (47 enodes) 210.478 * * [simplify]: iters left: 5 (228 enodes) 210.548 * * [simplify]: Extracting #0: cost 1 inf + 0 210.548 * * [simplify]: Extracting #1: cost 3 inf + 0 210.548 * * [simplify]: Extracting #2: cost 10 inf + 0 210.548 * * [simplify]: Extracting #3: cost 66 inf + 0 210.549 * * [simplify]: Extracting #4: cost 117 inf + 44 210.550 * * [simplify]: Extracting #5: cost 157 inf + 1266 210.552 * * [simplify]: Extracting #6: cost 241 inf + 2972 210.555 * * [simplify]: Extracting #7: cost 235 inf + 4520 210.563 * * [simplify]: Extracting #8: cost 164 inf + 16864 210.574 * * [simplify]: Extracting #9: cost 102 inf + 40149 210.584 * * [simplify]: Extracting #10: cost 45 inf + 63306 210.600 * * [simplify]: Extracting #11: cost 14 inf + 90373 210.628 * * [simplify]: Extracting #12: cost 1 inf + 104818 210.653 * * [simplify]: Extracting #13: cost 0 inf + 106523 210.697 * * [simplify]: Extracting #14: cost 0 inf + 106403 210.740 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 210.741 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 210.742 * * * * [progress]: [ 128 / 5906 ] simplifiying candidate # 210.742 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 210.743 * * [simplify]: iters left: 6 (52 enodes) 210.758 * * [simplify]: iters left: 5 (256 enodes) 210.847 * * [simplify]: Extracting #0: cost 1 inf + 0 210.847 * * [simplify]: Extracting #1: cost 3 inf + 0 210.847 * * [simplify]: Extracting #2: cost 10 inf + 0 210.847 * * [simplify]: Extracting #3: cost 74 inf + 0 210.847 * * [simplify]: Extracting #4: cost 137 inf + 1 210.848 * * [simplify]: Extracting #5: cost 195 inf + 165 210.849 * * [simplify]: Extracting #6: cost 271 inf + 3571 210.851 * * [simplify]: Extracting #7: cost 247 inf + 9185 210.855 * * [simplify]: Extracting #8: cost 170 inf + 26119 210.862 * * [simplify]: Extracting #9: cost 111 inf + 43622 210.879 * * [simplify]: Extracting #10: cost 54 inf + 71056 210.909 * * [simplify]: Extracting #11: cost 11 inf + 116209 210.945 * * [simplify]: Extracting #12: cost 0 inf + 127844 210.988 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 210.988 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 210.988 * * * * [progress]: [ 129 / 5906 ] simplifiying candidate # 210.989 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 210.989 * * [simplify]: iters left: 6 (47 enodes) 211.002 * * [simplify]: iters left: 5 (228 enodes) 211.080 * * [simplify]: Extracting #0: cost 1 inf + 0 211.080 * * [simplify]: Extracting #1: cost 3 inf + 0 211.080 * * [simplify]: Extracting #2: cost 10 inf + 0 211.081 * * [simplify]: Extracting #3: cost 65 inf + 0 211.081 * * [simplify]: Extracting #4: cost 116 inf + 86 211.082 * * [simplify]: Extracting #5: cost 151 inf + 1958 211.084 * * [simplify]: Extracting #6: cost 241 inf + 2932 211.087 * * [simplify]: Extracting #7: cost 238 inf + 3875 211.092 * * [simplify]: Extracting #8: cost 163 inf + 16865 211.105 * * [simplify]: Extracting #9: cost 99 inf + 41857 211.128 * * [simplify]: Extracting #10: cost 40 inf + 67043 211.159 * * [simplify]: Extracting #11: cost 14 inf + 90773 211.201 * * [simplify]: Extracting #12: cost 1 inf + 105218 211.239 * * [simplify]: Extracting #13: cost 0 inf + 106923 211.273 * * [simplify]: Extracting #14: cost 0 inf + 106803 211.310 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 211.310 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 211.311 * * * * [progress]: [ 130 / 5906 ] simplifiying candidate # 211.311 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 211.312 * * [simplify]: iters left: 6 (52 enodes) 211.326 * * [simplify]: iters left: 5 (255 enodes) 211.414 * * [simplify]: Extracting #0: cost 1 inf + 0 211.414 * * [simplify]: Extracting #1: cost 3 inf + 0 211.414 * * [simplify]: Extracting #2: cost 6 inf + 0 211.414 * * [simplify]: Extracting #3: cost 56 inf + 0 211.414 * * [simplify]: Extracting #4: cost 130 inf + 0 211.415 * * [simplify]: Extracting #5: cost 210 inf + 0 211.415 * * [simplify]: Extracting #6: cost 302 inf + 931 211.417 * * [simplify]: Extracting #7: cost 260 inf + 8578 211.422 * * [simplify]: Extracting #8: cost 146 inf + 34723 211.431 * * [simplify]: Extracting #9: cost 78 inf + 57402 211.465 * * [simplify]: Extracting #10: cost 19 inf + 108921 211.510 * * [simplify]: Extracting #11: cost 1 inf + 130485 211.549 * * [simplify]: Extracting #12: cost 0 inf + 132590 211.579 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) 211.579 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 211.580 * * * * [progress]: [ 131 / 5906 ] simplifiying candidate # 211.581 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 211.581 * * [simplify]: iters left: 6 (53 enodes) 211.599 * * [simplify]: iters left: 5 (264 enodes) 211.682 * * [simplify]: Extracting #0: cost 1 inf + 0 211.682 * * [simplify]: Extracting #1: cost 3 inf + 0 211.682 * * [simplify]: Extracting #2: cost 6 inf + 0 211.682 * * [simplify]: Extracting #3: cost 60 inf + 0 211.682 * * [simplify]: Extracting #4: cost 153 inf + 0 211.683 * * [simplify]: Extracting #5: cost 224 inf + 44 211.684 * * [simplify]: Extracting #6: cost 286 inf + 3837 211.687 * * [simplify]: Extracting #7: cost 235 inf + 14277 211.691 * * [simplify]: Extracting #8: cost 174 inf + 27986 211.699 * * [simplify]: Extracting #9: cost 113 inf + 47292 211.723 * * [simplify]: Extracting #10: cost 47 inf + 83324 211.745 * * [simplify]: Extracting #11: cost 11 inf + 120812 211.794 * * [simplify]: Extracting #12: cost 0 inf + 135167 211.832 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 211.832 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 211.833 * * * * [progress]: [ 132 / 5906 ] simplifiying candidate # 211.834 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 211.834 * * [simplify]: iters left: 6 (53 enodes) 211.853 * * [simplify]: iters left: 5 (264 enodes) 211.930 * * [simplify]: Extracting #0: cost 1 inf + 0 211.930 * * [simplify]: Extracting #1: cost 3 inf + 0 211.930 * * [simplify]: Extracting #2: cost 6 inf + 0 211.930 * * [simplify]: Extracting #3: cost 62 inf + 0 211.930 * * [simplify]: Extracting #4: cost 151 inf + 0 211.931 * * [simplify]: Extracting #5: cost 220 inf + 44 211.932 * * [simplify]: Extracting #6: cost 278 inf + 4686 211.936 * * [simplify]: Extracting #7: cost 227 inf + 17383 211.942 * * [simplify]: Extracting #8: cost 162 inf + 30067 211.957 * * [simplify]: Extracting #9: cost 78 inf + 60410 211.981 * * [simplify]: Extracting #10: cost 40 inf + 83902 212.004 * * [simplify]: Extracting #11: cost 11 inf + 115724 212.044 * * [simplify]: Extracting #12: cost 0 inf + 131599 212.083 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 212.083 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 212.084 * * * * [progress]: [ 133 / 5906 ] simplifiying candidate # 212.084 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 212.085 * * [simplify]: iters left: 6 (47 enodes) 212.102 * * [simplify]: iters left: 5 (228 enodes) 212.171 * * [simplify]: Extracting #0: cost 1 inf + 0 212.172 * * [simplify]: Extracting #1: cost 3 inf + 0 212.172 * * [simplify]: Extracting #2: cost 6 inf + 0 212.172 * * [simplify]: Extracting #3: cost 54 inf + 0 212.172 * * [simplify]: Extracting #4: cost 119 inf + 0 212.173 * * [simplify]: Extracting #5: cost 168 inf + 44 212.175 * * [simplify]: Extracting #6: cost 246 inf + 1357 212.178 * * [simplify]: Extracting #7: cost 214 inf + 7293 212.189 * * [simplify]: Extracting #8: cost 129 inf + 29743 212.199 * * [simplify]: Extracting #9: cost 65 inf + 53897 212.216 * * [simplify]: Extracting #10: cost 13 inf + 94060 212.258 * * [simplify]: Extracting #11: cost 1 inf + 106513 212.300 * * [simplify]: Extracting #12: cost 0 inf + 108378 212.336 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 212.336 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 212.337 * * * * [progress]: [ 134 / 5906 ] simplifiying candidate # 212.337 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 212.337 * * [simplify]: iters left: 6 (52 enodes) 212.353 * * [simplify]: iters left: 5 (256 enodes) 212.427 * * [simplify]: Extracting #0: cost 1 inf + 0 212.428 * * [simplify]: Extracting #1: cost 3 inf + 0 212.428 * * [simplify]: Extracting #2: cost 10 inf + 0 212.428 * * [simplify]: Extracting #3: cost 74 inf + 0 212.428 * * [simplify]: Extracting #4: cost 136 inf + 42 212.429 * * [simplify]: Extracting #5: cost 190 inf + 207 212.430 * * [simplify]: Extracting #6: cost 261 inf + 3784 212.432 * * [simplify]: Extracting #7: cost 222 inf + 14471 212.438 * * [simplify]: Extracting #8: cost 163 inf + 25977 212.445 * * [simplify]: Extracting #9: cost 110 inf + 43470 212.457 * * [simplify]: Extracting #10: cost 56 inf + 67991 212.481 * * [simplify]: Extracting #11: cost 13 inf + 110424 212.512 * * [simplify]: Extracting #12: cost 1 inf + 123124 212.560 * * [simplify]: Extracting #13: cost 0 inf + 125229 212.589 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) 212.589 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 212.590 * * * * [progress]: [ 135 / 5906 ] simplifiying candidate # 212.590 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 212.591 * * [simplify]: iters left: 6 (47 enodes) 212.605 * * [simplify]: iters left: 5 (228 enodes) 212.675 * * [simplify]: Extracting #0: cost 1 inf + 0 212.675 * * [simplify]: Extracting #1: cost 3 inf + 0 212.675 * * [simplify]: Extracting #2: cost 10 inf + 0 212.675 * * [simplify]: Extracting #3: cost 66 inf + 0 212.676 * * [simplify]: Extracting #4: cost 117 inf + 44 212.677 * * [simplify]: Extracting #5: cost 152 inf + 1388 212.679 * * [simplify]: Extracting #6: cost 234 inf + 3016 212.681 * * [simplify]: Extracting #7: cost 224 inf + 5908 212.684 * * [simplify]: Extracting #8: cost 158 inf + 20046 212.691 * * [simplify]: Extracting #9: cost 97 inf + 44205 212.702 * * [simplify]: Extracting #10: cost 39 inf + 66253 212.728 * * [simplify]: Extracting #11: cost 13 inf + 89743 212.768 * * [simplify]: Extracting #12: cost 1 inf + 103283 212.812 * * [simplify]: Extracting #13: cost 0 inf + 105028 212.858 * * [simplify]: Extracting #14: cost 0 inf + 104908 212.899 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 212.899 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 212.901 * * * * [progress]: [ 136 / 5906 ] simplifiying candidate # 212.901 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 212.902 * * [simplify]: iters left: 6 (52 enodes) 212.929 * * [simplify]: iters left: 5 (256 enodes) 213.007 * * [simplify]: Extracting #0: cost 1 inf + 0 213.007 * * [simplify]: Extracting #1: cost 3 inf + 0 213.007 * * [simplify]: Extracting #2: cost 10 inf + 0 213.007 * * [simplify]: Extracting #3: cost 74 inf + 0 213.007 * * [simplify]: Extracting #4: cost 137 inf + 1 213.008 * * [simplify]: Extracting #5: cost 190 inf + 207 213.009 * * [simplify]: Extracting #6: cost 260 inf + 3863 213.011 * * [simplify]: Extracting #7: cost 222 inf + 14269 213.015 * * [simplify]: Extracting #8: cost 162 inf + 26179 213.022 * * [simplify]: Extracting #9: cost 111 inf + 42807 213.033 * * [simplify]: Extracting #10: cost 55 inf + 69336 213.057 * * [simplify]: Extracting #11: cost 11 inf + 114434 213.692 * * [simplify]: Extracting #12: cost 0 inf + 126189 213.746 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) 213.746 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 213.747 * * * * [progress]: [ 137 / 5906 ] simplifiying candidate # 213.747 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 213.748 * * [simplify]: iters left: 6 (47 enodes) 213.771 * * [simplify]: iters left: 5 (228 enodes) 213.846 * * [simplify]: Extracting #0: cost 1 inf + 0 213.846 * * [simplify]: Extracting #1: cost 3 inf + 0 213.846 * * [simplify]: Extracting #2: cost 10 inf + 0 213.846 * * [simplify]: Extracting #3: cost 65 inf + 0 213.847 * * [simplify]: Extracting #4: cost 116 inf + 86 213.848 * * [simplify]: Extracting #5: cost 148 inf + 1796 213.850 * * [simplify]: Extracting #6: cost 234 inf + 2976 213.853 * * [simplify]: Extracting #7: cost 228 inf + 5301 213.859 * * [simplify]: Extracting #8: cost 153 inf + 20895 213.873 * * [simplify]: Extracting #9: cost 98 inf + 43262 213.895 * * [simplify]: Extracting #10: cost 40 inf + 66601 213.913 * * [simplify]: Extracting #11: cost 13 inf + 90143 213.937 * * [simplify]: Extracting #12: cost 1 inf + 103683 213.972 * * [simplify]: Extracting #13: cost 0 inf + 105428 213.994 * * [simplify]: Extracting #14: cost 0 inf + 105308 214.022 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 214.022 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 214.023 * * * * [progress]: [ 138 / 5906 ] simplifiying candidate # 214.023 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 214.023 * * [simplify]: iters left: 6 (47 enodes) 214.036 * * [simplify]: iters left: 5 (228 enodes) 214.109 * * [simplify]: Extracting #0: cost 1 inf + 0 214.109 * * [simplify]: Extracting #1: cost 3 inf + 0 214.109 * * [simplify]: Extracting #2: cost 6 inf + 0 214.110 * * [simplify]: Extracting #3: cost 48 inf + 0 214.110 * * [simplify]: Extracting #4: cost 112 inf + 0 214.111 * * [simplify]: Extracting #5: cost 185 inf + 0 214.112 * * [simplify]: Extracting #6: cost 262 inf + 803 214.115 * * [simplify]: Extracting #7: cost 231 inf + 9835 214.123 * * [simplify]: Extracting #8: cost 136 inf + 30754 214.142 * * [simplify]: Extracting #9: cost 55 inf + 58645 214.176 * * [simplify]: Extracting #10: cost 9 inf + 94084 214.213 * * [simplify]: Extracting #11: cost 0 inf + 103968 214.247 * * [simplify]: Extracting #12: cost 0 inf + 103888 214.288 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 214.288 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 214.289 * * * * [progress]: [ 139 / 5906 ] simplifiying candidate # 214.289 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 214.290 * * [simplify]: iters left: 6 (48 enodes) 214.303 * * [simplify]: iters left: 5 (237 enodes) 214.372 * * [simplify]: Extracting #0: cost 1 inf + 0 214.372 * * [simplify]: Extracting #1: cost 3 inf + 0 214.372 * * [simplify]: Extracting #2: cost 6 inf + 0 214.372 * * [simplify]: Extracting #3: cost 52 inf + 0 214.372 * * [simplify]: Extracting #4: cost 135 inf + 0 214.373 * * [simplify]: Extracting #5: cost 194 inf + 412 214.375 * * [simplify]: Extracting #6: cost 231 inf + 6579 214.377 * * [simplify]: Extracting #7: cost 212 inf + 13616 214.382 * * [simplify]: Extracting #8: cost 120 inf + 33350 214.391 * * [simplify]: Extracting #9: cost 65 inf + 53069 214.408 * * [simplify]: Extracting #10: cost 21 inf + 88753 214.434 * * [simplify]: Extracting #11: cost 1 inf + 108560 214.485 * * [simplify]: Extracting #12: cost 0 inf + 110425 214.530 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 214.531 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 214.532 * * * * [progress]: [ 140 / 5906 ] simplifiying candidate # 214.532 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 214.533 * * [simplify]: iters left: 6 (48 enodes) 214.552 * * [simplify]: iters left: 5 (237 enodes) 214.626 * * [simplify]: Extracting #0: cost 1 inf + 0 214.626 * * [simplify]: Extracting #1: cost 3 inf + 0 214.626 * * [simplify]: Extracting #2: cost 6 inf + 0 214.626 * * [simplify]: Extracting #3: cost 54 inf + 0 214.626 * * [simplify]: Extracting #4: cost 133 inf + 0 214.627 * * [simplify]: Extracting #5: cost 190 inf + 332 214.628 * * [simplify]: Extracting #6: cost 233 inf + 5647 214.631 * * [simplify]: Extracting #7: cost 219 inf + 11635 214.636 * * [simplify]: Extracting #8: cost 134 inf + 32077 214.647 * * [simplify]: Extracting #9: cost 53 inf + 62044 214.668 * * [simplify]: Extracting #10: cost 10 inf + 100247 214.701 * * [simplify]: Extracting #11: cost 0 inf + 109617 214.725 * * [simplify]: Extracting #12: cost 0 inf + 109577 214.763 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) 214.763 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 214.764 * * * * [progress]: [ 141 / 5906 ] simplifiying candidate # 214.764 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 214.765 * * [simplify]: iters left: 6 (42 enodes) 214.777 * * [simplify]: iters left: 5 (202 enodes) 214.845 * * [simplify]: Extracting #0: cost 1 inf + 0 214.845 * * [simplify]: Extracting #1: cost 3 inf + 0 214.845 * * [simplify]: Extracting #2: cost 6 inf + 0 214.846 * * [simplify]: Extracting #3: cost 46 inf + 0 214.846 * * [simplify]: Extracting #4: cost 101 inf + 0 214.847 * * [simplify]: Extracting #5: cost 143 inf + 44 214.848 * * [simplify]: Extracting #6: cost 205 inf + 1354 214.850 * * [simplify]: Extracting #7: cost 206 inf + 3101 214.856 * * [simplify]: Extracting #8: cost 135 inf + 18608 214.872 * * [simplify]: Extracting #9: cost 62 inf + 44249 214.905 * * [simplify]: Extracting #10: cost 12 inf + 82393 214.942 * * [simplify]: Extracting #11: cost 0 inf + 87676 214.963 * * [simplify]: Extracting #12: cost 0 inf + 86476 214.990 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 214.990 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 214.991 * * * * [progress]: [ 142 / 5906 ] simplifiying candidate # 214.992 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 214.992 * * [simplify]: iters left: 6 (47 enodes) 215.018 * * [simplify]: iters left: 5 (230 enodes) 215.092 * * [simplify]: Extracting #0: cost 1 inf + 0 215.092 * * [simplify]: Extracting #1: cost 3 inf + 0 215.092 * * [simplify]: Extracting #2: cost 10 inf + 0 215.092 * * [simplify]: Extracting #3: cost 62 inf + 0 215.093 * * [simplify]: Extracting #4: cost 115 inf + 42 215.093 * * [simplify]: Extracting #5: cost 160 inf + 290 215.095 * * [simplify]: Extracting #6: cost 223 inf + 2325 215.098 * * [simplify]: Extracting #7: cost 214 inf + 6973 215.110 * * [simplify]: Extracting #8: cost 134 inf + 26526 215.122 * * [simplify]: Extracting #9: cost 81 inf + 44649 215.134 * * [simplify]: Extracting #10: cost 32 inf + 66292 215.151 * * [simplify]: Extracting #11: cost 10 inf + 85082 215.190 * * [simplify]: Extracting #12: cost 0 inf + 97012 215.223 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 215.223 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 215.223 * * * * [progress]: [ 143 / 5906 ] simplifiying candidate # 215.224 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 215.224 * * [simplify]: iters left: 6 (42 enodes) 215.236 * * [simplify]: iters left: 5 (203 enodes) 215.293 * * [simplify]: Extracting #0: cost 1 inf + 0 215.293 * * [simplify]: Extracting #1: cost 3 inf + 0 215.294 * * [simplify]: Extracting #2: cost 10 inf + 0 215.294 * * [simplify]: Extracting #3: cost 54 inf + 0 215.294 * * [simplify]: Extracting #4: cost 95 inf + 86 215.295 * * [simplify]: Extracting #5: cost 122 inf + 1432 215.297 * * [simplify]: Extracting #6: cost 190 inf + 2932 215.299 * * [simplify]: Extracting #7: cost 200 inf + 3181 215.305 * * [simplify]: Extracting #8: cost 127 inf + 19240 215.325 * * [simplify]: Extracting #9: cost 36 inf + 58210 215.357 * * [simplify]: Extracting #10: cost 4 inf + 80084 215.391 * * [simplify]: Extracting #11: cost 1 inf + 81386 215.409 * * [simplify]: Extracting #12: cost 0 inf + 82971 215.431 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 215.431 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 215.433 * * * * [progress]: [ 144 / 5906 ] simplifiying candidate # 215.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 215.434 * * [simplify]: iters left: 6 (47 enodes) 215.459 * * [simplify]: iters left: 5 (230 enodes) 215.537 * * [simplify]: Extracting #0: cost 1 inf + 0 215.537 * * [simplify]: Extracting #1: cost 3 inf + 0 215.537 * * [simplify]: Extracting #2: cost 10 inf + 0 215.537 * * [simplify]: Extracting #3: cost 62 inf + 0 215.538 * * [simplify]: Extracting #4: cost 115 inf + 42 215.538 * * [simplify]: Extracting #5: cost 158 inf + 494 215.539 * * [simplify]: Extracting #6: cost 216 inf + 3939 215.541 * * [simplify]: Extracting #7: cost 212 inf + 7376 215.545 * * [simplify]: Extracting #8: cost 126 inf + 31717 215.557 * * [simplify]: Extracting #9: cost 36 inf + 67634 215.587 * * [simplify]: Extracting #10: cost 3 inf + 92937 215.614 * * [simplify]: Extracting #11: cost 0 inf + 97732 215.640 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 215.641 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 215.642 * * * * [progress]: [ 145 / 5906 ] simplifiying candidate # 215.642 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 215.643 * * [simplify]: iters left: 6 (42 enodes) 215.667 * * [simplify]: iters left: 5 (203 enodes) 215.750 * * [simplify]: Extracting #0: cost 1 inf + 0 215.750 * * [simplify]: Extracting #1: cost 3 inf + 0 215.750 * * [simplify]: Extracting #2: cost 10 inf + 0 215.750 * * [simplify]: Extracting #3: cost 53 inf + 0 215.750 * * [simplify]: Extracting #4: cost 96 inf + 44 215.751 * * [simplify]: Extracting #5: cost 127 inf + 862 215.753 * * [simplify]: Extracting #6: cost 190 inf + 2932 215.756 * * [simplify]: Extracting #7: cost 200 inf + 3181 215.762 * * [simplify]: Extracting #8: cost 128 inf + 19038 215.783 * * [simplify]: Extracting #9: cost 44 inf + 52544 215.810 * * [simplify]: Extracting #10: cost 7 inf + 80896 215.841 * * [simplify]: Extracting #11: cost 0 inf + 84051 215.872 * * [simplify]: Extracting #12: cost 0 inf + 83291 215.891 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 215.891 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 215.892 * * * * [progress]: [ 146 / 5906 ] simplifiying candidate # 215.892 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 215.893 * * [simplify]: iters left: 6 (51 enodes) 215.907 * * [simplify]: iters left: 5 (252 enodes) 215.989 * * [simplify]: Extracting #0: cost 1 inf + 0 215.989 * * [simplify]: Extracting #1: cost 3 inf + 0 215.989 * * [simplify]: Extracting #2: cost 6 inf + 0 215.989 * * [simplify]: Extracting #3: cost 56 inf + 0 215.989 * * [simplify]: Extracting #4: cost 125 inf + 0 215.990 * * [simplify]: Extracting #5: cost 194 inf + 0 215.990 * * [simplify]: Extracting #6: cost 288 inf + 763 215.992 * * [simplify]: Extracting #7: cost 255 inf + 8377 215.997 * * [simplify]: Extracting #8: cost 140 inf + 35727 216.011 * * [simplify]: Extracting #9: cost 52 inf + 74867 216.064 * * [simplify]: Extracting #10: cost 4 inf + 117638 216.098 * * [simplify]: Extracting #11: cost 1 inf + 118951 216.149 * * [simplify]: Extracting #12: cost 0 inf + 120456 216.190 * * [simplify]: Extracting #13: cost 0 inf + 120336 216.240 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) 216.240 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 216.241 * * * * [progress]: [ 147 / 5906 ] simplifiying candidate # 216.242 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 216.243 * * [simplify]: iters left: 6 (52 enodes) 216.261 * * [simplify]: iters left: 5 (261 enodes) 216.341 * * [simplify]: Extracting #0: cost 1 inf + 0 216.341 * * [simplify]: Extracting #1: cost 3 inf + 0 216.341 * * [simplify]: Extracting #2: cost 6 inf + 0 216.342 * * [simplify]: Extracting #3: cost 60 inf + 0 216.342 * * [simplify]: Extracting #4: cost 148 inf + 0 216.343 * * [simplify]: Extracting #5: cost 206 inf + 126 216.346 * * [simplify]: Extracting #6: cost 266 inf + 4400 216.350 * * [simplify]: Extracting #7: cost 239 inf + 11875 216.360 * * [simplify]: Extracting #8: cost 149 inf + 32747 216.381 * * [simplify]: Extracting #9: cost 70 inf + 62036 216.410 * * [simplify]: Extracting #10: cost 14 inf + 111748 216.435 * * [simplify]: Extracting #11: cost 0 inf + 125393 216.471 * * [simplify]: Extracting #12: cost 0 inf + 124513 216.505 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) 216.505 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 216.506 * * * * [progress]: [ 148 / 5906 ] simplifiying candidate # 216.506 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 216.506 * * [simplify]: iters left: 6 (52 enodes) 216.521 * * [simplify]: iters left: 5 (261 enodes) 216.632 * * [simplify]: Extracting #0: cost 1 inf + 0 216.632 * * [simplify]: Extracting #1: cost 3 inf + 0 216.632 * * [simplify]: Extracting #2: cost 6 inf + 0 216.632 * * [simplify]: Extracting #3: cost 62 inf + 0 216.632 * * [simplify]: Extracting #4: cost 146 inf + 0 216.633 * * [simplify]: Extracting #5: cost 204 inf + 44 216.634 * * [simplify]: Extracting #6: cost 277 inf + 2543 216.636 * * [simplify]: Extracting #7: cost 244 inf + 12355 216.639 * * [simplify]: Extracting #8: cost 185 inf + 22702 216.645 * * [simplify]: Extracting #9: cost 125 inf + 35203 216.656 * * [simplify]: Extracting #10: cost 67 inf + 63725 216.684 * * [simplify]: Extracting #11: cost 12 inf + 107365 216.721 * * [simplify]: Extracting #12: cost 0 inf + 122345 216.747 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))) 216.747 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 216.748 * * * * [progress]: [ 149 / 5906 ] simplifiying candidate # 216.748 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 216.749 * * [simplify]: iters left: 6 (46 enodes) 216.774 * * [simplify]: iters left: 5 (225 enodes) 216.848 * * [simplify]: Extracting #0: cost 1 inf + 0 216.848 * * [simplify]: Extracting #1: cost 3 inf + 0 216.849 * * [simplify]: Extracting #2: cost 6 inf + 0 216.849 * * [simplify]: Extracting #3: cost 54 inf + 0 216.849 * * [simplify]: Extracting #4: cost 113 inf + 0 216.850 * * [simplify]: Extracting #5: cost 150 inf + 126 216.851 * * [simplify]: Extracting #6: cost 233 inf + 908 216.853 * * [simplify]: Extracting #7: cost 238 inf + 1847 216.859 * * [simplify]: Extracting #8: cost 161 inf + 14590 216.871 * * [simplify]: Extracting #9: cost 90 inf + 37491 216.893 * * [simplify]: Extracting #10: cost 42 inf + 65071 216.934 * * [simplify]: Extracting #11: cost 1 inf + 99497 216.972 * * [simplify]: Extracting #12: cost 0 inf + 99122 216.996 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) 216.996 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 216.997 * * * * [progress]: [ 150 / 5906 ] simplifiying candidate # 216.997 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 216.997 * * [simplify]: iters left: 6 (51 enodes) 217.023 * * [simplify]: iters left: 5 (253 enodes) 217.110 * * [simplify]: Extracting #0: cost 1 inf + 0 217.110 * * [simplify]: Extracting #1: cost 3 inf + 0 217.110 * * [simplify]: Extracting #2: cost 10 inf + 0 217.110 * * [simplify]: Extracting #3: cost 71 inf + 0 217.111 * * [simplify]: Extracting #4: cost 133 inf + 42 217.111 * * [simplify]: Extracting #5: cost 175 inf + 249 217.112 * * [simplify]: Extracting #6: cost 250 inf + 3253 217.114 * * [simplify]: Extracting #7: cost 242 inf + 7810 217.117 * * [simplify]: Extracting #8: cost 167 inf + 20879 217.124 * * [simplify]: Extracting #9: cost 105 inf + 40916 217.135 * * [simplify]: Extracting #10: cost 54 inf + 66180 217.167 * * [simplify]: Extracting #11: cost 22 inf + 92938 217.212 * * [simplify]: Extracting #12: cost 1 inf + 114703 217.261 * * [simplify]: Extracting #13: cost 0 inf + 116488 217.303 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 217.303 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 217.303 * * * * [progress]: [ 151 / 5906 ] simplifiying candidate # 217.304 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 217.304 * * [simplify]: iters left: 6 (46 enodes) 217.317 * * [simplify]: iters left: 5 (225 enodes) 217.397 * * [simplify]: Extracting #0: cost 1 inf + 0 217.397 * * [simplify]: Extracting #1: cost 3 inf + 0 217.397 * * [simplify]: Extracting #2: cost 10 inf + 0 217.397 * * [simplify]: Extracting #3: cost 64 inf + 0 217.397 * * [simplify]: Extracting #4: cost 116 inf + 44 217.398 * * [simplify]: Extracting #5: cost 143 inf + 782 217.399 * * [simplify]: Extracting #6: cost 224 inf + 2770 217.400 * * [simplify]: Extracting #7: cost 229 inf + 3828 217.404 * * [simplify]: Extracting #8: cost 149 inf + 22384 217.413 * * [simplify]: Extracting #9: cost 61 inf + 56290 217.428 * * [simplify]: Extracting #10: cost 23 inf + 76712 217.448 * * [simplify]: Extracting #11: cost 1 inf + 97569 217.476 * * [simplify]: Extracting #12: cost 0 inf + 99114 217.501 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 217.501 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 217.502 * * * * [progress]: [ 152 / 5906 ] simplifiying candidate # 217.502 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 217.503 * * [simplify]: iters left: 6 (51 enodes) 217.530 * * [simplify]: iters left: 5 (253 enodes) 217.615 * * [simplify]: Extracting #0: cost 1 inf + 0 217.615 * * [simplify]: Extracting #1: cost 3 inf + 0 217.615 * * [simplify]: Extracting #2: cost 10 inf + 0 217.616 * * [simplify]: Extracting #3: cost 71 inf + 0 217.616 * * [simplify]: Extracting #4: cost 133 inf + 42 217.617 * * [simplify]: Extracting #5: cost 175 inf + 248 217.623 * * [simplify]: Extracting #6: cost 253 inf + 2487 217.626 * * [simplify]: Extracting #7: cost 243 inf + 7307 217.632 * * [simplify]: Extracting #8: cost 168 inf + 21491 217.646 * * [simplify]: Extracting #9: cost 101 inf + 44252 217.665 * * [simplify]: Extracting #10: cost 53 inf + 67885 217.682 * * [simplify]: Extracting #11: cost 22 inf + 94778 217.721 * * [simplify]: Extracting #12: cost 1 inf + 115663 217.767 * * [simplify]: Extracting #13: cost 0 inf + 117448 217.807 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 217.807 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 217.808 * * * * [progress]: [ 153 / 5906 ] simplifiying candidate # 217.808 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 217.808 * * [simplify]: iters left: 6 (46 enodes) 217.821 * * [simplify]: iters left: 5 (225 enodes) 217.906 * * [simplify]: Extracting #0: cost 1 inf + 0 217.906 * * [simplify]: Extracting #1: cost 3 inf + 0 217.906 * * [simplify]: Extracting #2: cost 10 inf + 0 217.906 * * [simplify]: Extracting #3: cost 63 inf + 0 217.909 * * [simplify]: Extracting #4: cost 116 inf + 44 217.909 * * [simplify]: Extracting #5: cost 143 inf + 782 217.911 * * [simplify]: Extracting #6: cost 223 inf + 2932 217.912 * * [simplify]: Extracting #7: cost 229 inf + 3828 217.915 * * [simplify]: Extracting #8: cost 149 inf + 22503 217.924 * * [simplify]: Extracting #9: cost 63 inf + 55421 217.939 * * [simplify]: Extracting #10: cost 24 inf + 77129 217.967 * * [simplify]: Extracting #11: cost 3 inf + 96439 218.010 * * [simplify]: Extracting #12: cost 0 inf + 101514 218.053 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 218.053 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 218.055 * * * * [progress]: [ 154 / 5906 ] simplifiying candidate # 218.055 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 218.056 * * [simplify]: iters left: 6 (47 enodes) 218.084 * * [simplify]: iters left: 5 (232 enodes) 218.162 * * [simplify]: Extracting #0: cost 1 inf + 0 218.163 * * [simplify]: Extracting #1: cost 3 inf + 0 218.163 * * [simplify]: Extracting #2: cost 6 inf + 0 218.163 * * [simplify]: Extracting #3: cost 54 inf + 0 218.163 * * [simplify]: Extracting #4: cost 120 inf + 0 218.164 * * [simplify]: Extracting #5: cost 193 inf + 0 218.166 * * [simplify]: Extracting #6: cost 267 inf + 1771 218.169 * * [simplify]: Extracting #7: cost 233 inf + 11438 218.176 * * [simplify]: Extracting #8: cost 158 inf + 22276 218.194 * * [simplify]: Extracting #9: cost 92 inf + 44366 218.216 * * [simplify]: Extracting #10: cost 49 inf + 65640 218.253 * * [simplify]: Extracting #11: cost 9 inf + 102577 218.300 * * [simplify]: Extracting #12: cost 0 inf + 114082 218.346 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 218.346 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 218.348 * * * * [progress]: [ 155 / 5906 ] simplifiying candidate # 218.348 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 218.349 * * [simplify]: iters left: 6 (48 enodes) 218.369 * * [simplify]: iters left: 5 (241 enodes) 218.446 * * [simplify]: Extracting #0: cost 1 inf + 0 218.446 * * [simplify]: Extracting #1: cost 3 inf + 0 218.446 * * [simplify]: Extracting #2: cost 6 inf + 0 218.446 * * [simplify]: Extracting #3: cost 58 inf + 0 218.447 * * [simplify]: Extracting #4: cost 143 inf + 0 218.448 * * [simplify]: Extracting #5: cost 202 inf + 412 218.451 * * [simplify]: Extracting #6: cost 237 inf + 6862 218.457 * * [simplify]: Extracting #7: cost 219 inf + 14509 218.465 * * [simplify]: Extracting #8: cost 153 inf + 26910 218.487 * * [simplify]: Extracting #9: cost 88 inf + 51994 218.514 * * [simplify]: Extracting #10: cost 35 inf + 80306 218.556 * * [simplify]: Extracting #11: cost 5 inf + 109934 218.582 * * [simplify]: Extracting #12: cost 0 inf + 115979 218.607 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 218.607 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 218.608 * * * * [progress]: [ 156 / 5906 ] simplifiying candidate # 218.609 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 218.609 * * [simplify]: iters left: 6 (48 enodes) 218.630 * * [simplify]: iters left: 5 (241 enodes) 218.740 * * [simplify]: Extracting #0: cost 1 inf + 0 218.740 * * [simplify]: Extracting #1: cost 3 inf + 0 218.740 * * [simplify]: Extracting #2: cost 6 inf + 0 218.741 * * [simplify]: Extracting #3: cost 60 inf + 0 218.741 * * [simplify]: Extracting #4: cost 141 inf + 0 218.742 * * [simplify]: Extracting #5: cost 199 inf + 210 218.745 * * [simplify]: Extracting #6: cost 247 inf + 4357 218.749 * * [simplify]: Extracting #7: cost 222 inf + 12733 218.757 * * [simplify]: Extracting #8: cost 171 inf + 23330 218.774 * * [simplify]: Extracting #9: cost 105 inf + 39847 218.796 * * [simplify]: Extracting #10: cost 57 inf + 63801 218.834 * * [simplify]: Extracting #11: cost 11 inf + 103976 218.865 * * [simplify]: Extracting #12: cost 0 inf + 115171 218.898 * * [simplify]: Extracting #13: cost 0 inf + 115091 218.928 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 218.928 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 218.929 * * * * [progress]: [ 157 / 5906 ] simplifiying candidate # 218.929 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 218.930 * * [simplify]: iters left: 6 (42 enodes) 218.943 * * [simplify]: iters left: 5 (205 enodes) 219.031 * * [simplify]: Extracting #0: cost 1 inf + 0 219.031 * * [simplify]: Extracting #1: cost 3 inf + 0 219.031 * * [simplify]: Extracting #2: cost 6 inf + 0 219.031 * * [simplify]: Extracting #3: cost 52 inf + 0 219.032 * * [simplify]: Extracting #4: cost 109 inf + 0 219.032 * * [simplify]: Extracting #5: cost 150 inf + 85 219.034 * * [simplify]: Extracting #6: cost 215 inf + 1030 219.036 * * [simplify]: Extracting #7: cost 212 inf + 3224 219.040 * * [simplify]: Extracting #8: cost 170 inf + 9147 219.048 * * [simplify]: Extracting #9: cost 109 inf + 25185 219.069 * * [simplify]: Extracting #10: cost 55 inf + 50649 219.094 * * [simplify]: Extracting #11: cost 24 inf + 69910 219.130 * * [simplify]: Extracting #12: cost 1 inf + 92045 219.168 * * [simplify]: Extracting #13: cost 0 inf + 93670 219.205 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 219.205 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 219.205 * * * * [progress]: [ 158 / 5906 ] simplifiying candidate # 219.206 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 219.206 * * [simplify]: iters left: 6 (47 enodes) 219.219 * * [simplify]: iters left: 5 (233 enodes) 219.289 * * [simplify]: Extracting #0: cost 1 inf + 0 219.289 * * [simplify]: Extracting #1: cost 3 inf + 0 219.289 * * [simplify]: Extracting #2: cost 10 inf + 0 219.289 * * [simplify]: Extracting #3: cost 72 inf + 0 219.290 * * [simplify]: Extracting #4: cost 126 inf + 42 219.291 * * [simplify]: Extracting #5: cost 170 inf + 332 219.293 * * [simplify]: Extracting #6: cost 232 inf + 2930 219.296 * * [simplify]: Extracting #7: cost 228 inf + 6005 219.301 * * [simplify]: Extracting #8: cost 161 inf + 18017 219.312 * * [simplify]: Extracting #9: cost 102 inf + 36059 219.323 * * [simplify]: Extracting #10: cost 51 inf + 62139 219.345 * * [simplify]: Extracting #11: cost 8 inf + 96161 219.384 * * [simplify]: Extracting #12: cost 0 inf + 105761 219.412 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 219.412 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 219.413 * * * * [progress]: [ 159 / 5906 ] simplifiying candidate # 219.413 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 219.414 * * [simplify]: iters left: 6 (42 enodes) 219.426 * * [simplify]: iters left: 5 (205 enodes) 219.490 * * [simplify]: Extracting #0: cost 1 inf + 0 219.491 * * [simplify]: Extracting #1: cost 3 inf + 0 219.491 * * [simplify]: Extracting #2: cost 10 inf + 0 219.491 * * [simplify]: Extracting #3: cost 64 inf + 0 219.491 * * [simplify]: Extracting #4: cost 106 inf + 86 219.491 * * [simplify]: Extracting #5: cost 135 inf + 1228 219.492 * * [simplify]: Extracting #6: cost 201 inf + 2932 219.494 * * [simplify]: Extracting #7: cost 212 inf + 3100 219.497 * * [simplify]: Extracting #8: cost 141 inf + 19470 219.511 * * [simplify]: Extracting #9: cost 61 inf + 51418 219.540 * * [simplify]: Extracting #10: cost 22 inf + 76931 219.579 * * [simplify]: Extracting #11: cost 0 inf + 90560 219.616 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) 219.616 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 219.617 * * * * [progress]: [ 160 / 5906 ] simplifiying candidate # 219.618 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 219.619 * * [simplify]: iters left: 6 (47 enodes) 219.645 * * [simplify]: iters left: 5 (233 enodes) 219.729 * * [simplify]: Extracting #0: cost 1 inf + 0 219.729 * * [simplify]: Extracting #1: cost 3 inf + 0 219.730 * * [simplify]: Extracting #2: cost 10 inf + 0 219.730 * * [simplify]: Extracting #3: cost 72 inf + 0 219.730 * * [simplify]: Extracting #4: cost 126 inf + 42 219.731 * * [simplify]: Extracting #5: cost 170 inf + 332 219.734 * * [simplify]: Extracting #6: cost 230 inf + 3454 219.737 * * [simplify]: Extracting #7: cost 223 inf + 8189 219.743 * * [simplify]: Extracting #8: cost 159 inf + 19226 219.758 * * [simplify]: Extracting #9: cost 102 inf + 36661 219.781 * * [simplify]: Extracting #10: cost 51 inf + 62661 219.816 * * [simplify]: Extracting #11: cost 8 inf + 97041 219.842 * * [simplify]: Extracting #12: cost 0 inf + 106641 219.873 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 219.873 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 219.873 * * * * [progress]: [ 161 / 5906 ] simplifiying candidate # 219.874 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 219.874 * * [simplify]: iters left: 6 (42 enodes) 219.886 * * [simplify]: iters left: 5 (205 enodes) 219.956 * * [simplify]: Extracting #0: cost 1 inf + 0 219.956 * * [simplify]: Extracting #1: cost 3 inf + 0 219.956 * * [simplify]: Extracting #2: cost 10 inf + 0 219.956 * * [simplify]: Extracting #3: cost 63 inf + 0 219.957 * * [simplify]: Extracting #4: cost 107 inf + 44 219.958 * * [simplify]: Extracting #5: cost 136 inf + 1186 219.960 * * [simplify]: Extracting #6: cost 201 inf + 2932 219.962 * * [simplify]: Extracting #7: cost 212 inf + 3100 219.968 * * [simplify]: Extracting #8: cost 138 inf + 20298 219.986 * * [simplify]: Extracting #9: cost 61 inf + 51418 220.016 * * [simplify]: Extracting #10: cost 22 inf + 77211 220.040 * * [simplify]: Extracting #11: cost 1 inf + 90436 220.067 * * [simplify]: Extracting #12: cost 0 inf + 90960 220.087 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) 220.087 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 220.088 * * * * [progress]: [ 162 / 5906 ] simplifiying candidate # 220.088 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 220.089 * * [simplify]: iters left: 6 (51 enodes) 220.105 * * [simplify]: iters left: 5 (256 enodes) 220.201 * * [simplify]: Extracting #0: cost 1 inf + 0 220.201 * * [simplify]: Extracting #1: cost 3 inf + 0 220.201 * * [simplify]: Extracting #2: cost 6 inf + 0 220.201 * * [simplify]: Extracting #3: cost 56 inf + 0 220.201 * * [simplify]: Extracting #4: cost 130 inf + 0 220.202 * * [simplify]: Extracting #5: cost 214 inf + 0 220.203 * * [simplify]: Extracting #6: cost 304 inf + 551 220.204 * * [simplify]: Extracting #7: cost 258 inf + 11769 220.213 * * [simplify]: Extracting #8: cost 132 inf + 43484 220.237 * * [simplify]: Extracting #9: cost 53 inf + 74523 220.259 * * [simplify]: Extracting #10: cost 11 inf + 114315 220.288 * * [simplify]: Extracting #11: cost 1 inf + 128325 220.325 * * [simplify]: Extracting #12: cost 0 inf + 130390 220.353 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 220.353 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 220.354 * * * * [progress]: [ 163 / 5906 ] simplifiying candidate # 220.354 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 220.354 * * [simplify]: iters left: 6 (52 enodes) 220.369 * * [simplify]: iters left: 5 (265 enodes) 220.470 * * [simplify]: Extracting #0: cost 1 inf + 0 220.470 * * [simplify]: Extracting #1: cost 3 inf + 0 220.470 * * [simplify]: Extracting #2: cost 6 inf + 0 220.470 * * [simplify]: Extracting #3: cost 60 inf + 0 220.471 * * [simplify]: Extracting #4: cost 153 inf + 0 220.472 * * [simplify]: Extracting #5: cost 226 inf + 127 220.475 * * [simplify]: Extracting #6: cost 278 inf + 5088 220.479 * * [simplify]: Extracting #7: cost 251 inf + 12656 220.489 * * [simplify]: Extracting #8: cost 146 inf + 35707 220.511 * * [simplify]: Extracting #9: cost 70 inf + 65005 220.540 * * [simplify]: Extracting #10: cost 33 inf + 93925 220.580 * * [simplify]: Extracting #11: cost 4 inf + 128467 220.613 * * [simplify]: Extracting #12: cost 0 inf + 133327 220.643 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 220.643 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 220.643 * * * * [progress]: [ 164 / 5906 ] simplifiying candidate # 220.644 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 220.644 * * [simplify]: iters left: 6 (52 enodes) 220.670 * * [simplify]: iters left: 5 (265 enodes) 220.779 * * [simplify]: Extracting #0: cost 1 inf + 0 220.779 * * [simplify]: Extracting #1: cost 3 inf + 0 220.779 * * [simplify]: Extracting #2: cost 6 inf + 0 220.779 * * [simplify]: Extracting #3: cost 62 inf + 0 220.780 * * [simplify]: Extracting #4: cost 151 inf + 0 220.781 * * [simplify]: Extracting #5: cost 223 inf + 85 220.783 * * [simplify]: Extracting #6: cost 284 inf + 3307 220.788 * * [simplify]: Extracting #7: cost 251 inf + 11786 220.796 * * [simplify]: Extracting #8: cost 179 inf + 23718 220.812 * * [simplify]: Extracting #9: cost 104 inf + 51026 220.832 * * [simplify]: Extracting #10: cost 50 inf + 79180 220.854 * * [simplify]: Extracting #11: cost 11 inf + 115924 220.892 * * [simplify]: Extracting #12: cost 0 inf + 129839 220.932 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 220.932 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 220.933 * * * * [progress]: [ 165 / 5906 ] simplifiying candidate # 220.934 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 220.934 * * [simplify]: iters left: 6 (46 enodes) 220.960 * * [simplify]: iters left: 5 (229 enodes) 221.036 * * [simplify]: Extracting #0: cost 1 inf + 0 221.036 * * [simplify]: Extracting #1: cost 3 inf + 0 221.036 * * [simplify]: Extracting #2: cost 6 inf + 0 221.037 * * [simplify]: Extracting #3: cost 54 inf + 0 221.037 * * [simplify]: Extracting #4: cost 119 inf + 0 221.038 * * [simplify]: Extracting #5: cost 171 inf + 126 221.040 * * [simplify]: Extracting #6: cost 248 inf + 990 221.042 * * [simplify]: Extracting #7: cost 246 inf + 2414 221.048 * * [simplify]: Extracting #8: cost 165 inf + 18852 221.061 * * [simplify]: Extracting #9: cost 90 inf + 40949 221.073 * * [simplify]: Extracting #10: cost 44 inf + 65751 221.095 * * [simplify]: Extracting #11: cost 6 inf + 99108 221.137 * * [simplify]: Extracting #12: cost 1 inf + 106113 221.182 * * [simplify]: Extracting #13: cost 0 inf + 107978 221.220 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 221.220 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 221.220 * * * * [progress]: [ 166 / 5906 ] simplifiying candidate # 221.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 221.221 * * [simplify]: iters left: 6 (51 enodes) 221.235 * * [simplify]: iters left: 5 (257 enodes) 221.321 * * [simplify]: Extracting #0: cost 1 inf + 0 221.321 * * [simplify]: Extracting #1: cost 3 inf + 0 221.321 * * [simplify]: Extracting #2: cost 10 inf + 0 221.321 * * [simplify]: Extracting #3: cost 74 inf + 0 221.322 * * [simplify]: Extracting #4: cost 136 inf + 42 221.323 * * [simplify]: Extracting #5: cost 193 inf + 249 221.325 * * [simplify]: Extracting #6: cost 270 inf + 2042 221.329 * * [simplify]: Extracting #7: cost 244 inf + 9543 221.336 * * [simplify]: Extracting #8: cost 166 inf + 23689 221.343 * * [simplify]: Extracting #9: cost 103 inf + 45466 221.357 * * [simplify]: Extracting #10: cost 36 inf + 82449 221.393 * * [simplify]: Extracting #11: cost 5 inf + 114544 221.442 * * [simplify]: Extracting #12: cost 1 inf + 121684 221.484 * * [simplify]: Extracting #13: cost 0 inf + 123749 221.520 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 221.520 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 221.521 * * * * [progress]: [ 167 / 5906 ] simplifiying candidate # 221.522 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 221.522 * * [simplify]: iters left: 6 (46 enodes) 221.548 * * [simplify]: iters left: 5 (229 enodes) 221.652 * * [simplify]: Extracting #0: cost 1 inf + 0 221.652 * * [simplify]: Extracting #1: cost 3 inf + 0 221.652 * * [simplify]: Extracting #2: cost 10 inf + 0 221.652 * * [simplify]: Extracting #3: cost 66 inf + 0 221.653 * * [simplify]: Extracting #4: cost 117 inf + 44 221.653 * * [simplify]: Extracting #5: cost 160 inf + 740 221.656 * * [simplify]: Extracting #6: cost 235 inf + 2770 221.658 * * [simplify]: Extracting #7: cost 242 inf + 3218 221.664 * * [simplify]: Extracting #8: cost 180 inf + 14388 221.677 * * [simplify]: Extracting #9: cost 97 inf + 42577 221.688 * * [simplify]: Extracting #10: cost 42 inf + 65806 221.703 * * [simplify]: Extracting #11: cost 22 inf + 78718 221.742 * * [simplify]: Extracting #12: cost 2 inf + 101218 221.779 * * [simplify]: Extracting #13: cost 0 inf + 104908 221.803 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) 221.803 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 221.804 * * * * [progress]: [ 168 / 5906 ] simplifiying candidate # 221.804 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 221.805 * * [simplify]: iters left: 6 (51 enodes) 221.833 * * [simplify]: iters left: 5 (257 enodes) 221.928 * * [simplify]: Extracting #0: cost 1 inf + 0 221.928 * * [simplify]: Extracting #1: cost 3 inf + 0 221.929 * * [simplify]: Extracting #2: cost 10 inf + 0 221.929 * * [simplify]: Extracting #3: cost 74 inf + 0 221.929 * * [simplify]: Extracting #4: cost 136 inf + 42 221.930 * * [simplify]: Extracting #5: cost 193 inf + 248 221.931 * * [simplify]: Extracting #6: cost 270 inf + 2040 221.933 * * [simplify]: Extracting #7: cost 240 inf + 10309 221.940 * * [simplify]: Extracting #8: cost 171 inf + 22749 221.955 * * [simplify]: Extracting #9: cost 102 inf + 45872 221.982 * * [simplify]: Extracting #10: cost 37 inf + 82645 222.030 * * [simplify]: Extracting #11: cost 5 inf + 115504 222.074 * * [simplify]: Extracting #12: cost 1 inf + 122644 222.119 * * [simplify]: Extracting #13: cost 0 inf + 124709 222.165 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 222.165 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 222.166 * * * * [progress]: [ 169 / 5906 ] simplifiying candidate # 222.167 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 222.167 * * [simplify]: iters left: 6 (46 enodes) 222.190 * * [simplify]: iters left: 5 (229 enodes) 222.251 * * [simplify]: Extracting #0: cost 1 inf + 0 222.251 * * [simplify]: Extracting #1: cost 3 inf + 0 222.251 * * [simplify]: Extracting #2: cost 10 inf + 0 222.251 * * [simplify]: Extracting #3: cost 65 inf + 0 222.251 * * [simplify]: Extracting #4: cost 117 inf + 44 222.252 * * [simplify]: Extracting #5: cost 161 inf + 538 222.253 * * [simplify]: Extracting #6: cost 235 inf + 2770 222.256 * * [simplify]: Extracting #7: cost 241 inf + 3299 222.261 * * [simplify]: Extracting #8: cost 182 inf + 14025 222.269 * * [simplify]: Extracting #9: cost 98 inf + 42594 222.281 * * [simplify]: Extracting #10: cost 42 inf + 66417 222.304 * * [simplify]: Extracting #11: cost 21 inf + 80023 222.340 * * [simplify]: Extracting #12: cost 2 inf + 101618 222.379 * * [simplify]: Extracting #13: cost 0 inf + 105308 222.419 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) 222.419 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 222.420 * * * * [progress]: [ 170 / 5906 ] simplifiying candidate # 222.420 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 222.420 * * [simplify]: iters left: 6 (52 enodes) 222.438 * * [simplify]: iters left: 5 (253 enodes) 222.510 * * [simplify]: Extracting #0: cost 1 inf + 0 222.510 * * [simplify]: Extracting #1: cost 3 inf + 0 222.510 * * [simplify]: Extracting #2: cost 6 inf + 0 222.510 * * [simplify]: Extracting #3: cost 56 inf + 0 222.511 * * [simplify]: Extracting #4: cost 130 inf + 0 222.512 * * [simplify]: Extracting #5: cost 216 inf + 0 222.513 * * [simplify]: Extracting #6: cost 304 inf + 722 222.516 * * [simplify]: Extracting #7: cost 269 inf + 6553 222.526 * * [simplify]: Extracting #8: cost 153 inf + 36022 222.545 * * [simplify]: Extracting #9: cost 69 inf + 62771 222.575 * * [simplify]: Extracting #10: cost 38 inf + 85241 222.597 * * [simplify]: Extracting #11: cost 8 inf + 118012 222.637 * * [simplify]: Extracting #12: cost 0 inf + 129488 222.664 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 222.664 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 222.665 * * * * [progress]: [ 171 / 5906 ] simplifiying candidate # 222.665 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 222.666 * * [simplify]: iters left: 6 (53 enodes) 222.686 * * [simplify]: iters left: 5 (262 enodes) 222.774 * * [simplify]: Extracting #0: cost 1 inf + 0 222.774 * * [simplify]: Extracting #1: cost 3 inf + 0 222.774 * * [simplify]: Extracting #2: cost 6 inf + 0 222.774 * * [simplify]: Extracting #3: cost 60 inf + 0 222.774 * * [simplify]: Extracting #4: cost 153 inf + 0 222.775 * * [simplify]: Extracting #5: cost 230 inf + 44 222.776 * * [simplify]: Extracting #6: cost 282 inf + 4400 222.779 * * [simplify]: Extracting #7: cost 251 inf + 10132 222.783 * * [simplify]: Extracting #8: cost 188 inf + 21808 222.798 * * [simplify]: Extracting #9: cost 105 inf + 51826 222.813 * * [simplify]: Extracting #10: cost 53 inf + 77180 222.829 * * [simplify]: Extracting #11: cost 36 inf + 89725 222.877 * * [simplify]: Extracting #12: cost 4 inf + 128925 222.924 * * [simplify]: Extracting #13: cost 0 inf + 134745 222.957 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 222.957 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 222.958 * * * * [progress]: [ 172 / 5906 ] simplifiying candidate # 222.959 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 222.960 * * [simplify]: iters left: 6 (53 enodes) 222.981 * * [simplify]: iters left: 5 (262 enodes) 223.048 * * [simplify]: Extracting #0: cost 1 inf + 0 223.048 * * [simplify]: Extracting #1: cost 3 inf + 0 223.048 * * [simplify]: Extracting #2: cost 6 inf + 0 223.048 * * [simplify]: Extracting #3: cost 62 inf + 0 223.048 * * [simplify]: Extracting #4: cost 151 inf + 0 223.049 * * [simplify]: Extracting #5: cost 226 inf + 44 223.050 * * [simplify]: Extracting #6: cost 286 inf + 3345 223.053 * * [simplify]: Extracting #7: cost 237 inf + 13136 223.058 * * [simplify]: Extracting #8: cost 149 inf + 33548 223.075 * * [simplify]: Extracting #9: cost 62 inf + 69641 223.091 * * [simplify]: Extracting #10: cost 37 inf + 87132 223.121 * * [simplify]: Extracting #11: cost 6 inf + 124427 223.176 * * [simplify]: Extracting #12: cost 0 inf + 132657 223.228 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 223.228 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 223.229 * * * * [progress]: [ 173 / 5906 ] simplifiying candidate # 223.230 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 223.231 * * [simplify]: iters left: 6 (47 enodes) 223.257 * * [simplify]: iters left: 5 (226 enodes) 223.357 * * [simplify]: Extracting #0: cost 1 inf + 0 223.357 * * [simplify]: Extracting #1: cost 3 inf + 0 223.357 * * [simplify]: Extracting #2: cost 6 inf + 0 223.357 * * [simplify]: Extracting #3: cost 54 inf + 0 223.358 * * [simplify]: Extracting #4: cost 119 inf + 0 223.358 * * [simplify]: Extracting #5: cost 174 inf + 44 223.360 * * [simplify]: Extracting #6: cost 247 inf + 1192 223.363 * * [simplify]: Extracting #7: cost 237 inf + 3428 223.371 * * [simplify]: Extracting #8: cost 131 inf + 29799 223.392 * * [simplify]: Extracting #9: cost 64 inf + 57310 223.426 * * [simplify]: Extracting #10: cost 16 inf + 94248 223.468 * * [simplify]: Extracting #11: cost 1 inf + 106971 223.515 * * [simplify]: Extracting #12: cost 0 inf + 107876 223.558 * * [simplify]: Extracting #13: cost 0 inf + 107836 223.587 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 223.587 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 223.588 * * * * [progress]: [ 174 / 5906 ] simplifiying candidate # 223.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 223.589 * * [simplify]: iters left: 6 (52 enodes) 223.604 * * [simplify]: iters left: 5 (254 enodes) 223.676 * * [simplify]: Extracting #0: cost 1 inf + 0 223.676 * * [simplify]: Extracting #1: cost 3 inf + 0 223.676 * * [simplify]: Extracting #2: cost 10 inf + 0 223.676 * * [simplify]: Extracting #3: cost 74 inf + 0 223.677 * * [simplify]: Extracting #4: cost 137 inf + 1 223.678 * * [simplify]: Extracting #5: cost 196 inf + 207 223.680 * * [simplify]: Extracting #6: cost 262 inf + 3575 223.682 * * [simplify]: Extracting #7: cost 249 inf + 7428 223.687 * * [simplify]: Extracting #8: cost 138 inf + 37036 223.699 * * [simplify]: Extracting #9: cost 46 inf + 74066 223.720 * * [simplify]: Extracting #10: cost 13 inf + 108522 223.751 * * [simplify]: Extracting #11: cost 1 inf + 123142 223.778 * * [simplify]: Extracting #12: cost 0 inf + 125207 223.818 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) 223.818 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 223.819 * * * * [progress]: [ 175 / 5906 ] simplifiying candidate # 223.819 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 223.819 * * [simplify]: iters left: 6 (47 enodes) 223.833 * * [simplify]: iters left: 5 (226 enodes) 223.891 * * [simplify]: Extracting #0: cost 1 inf + 0 223.891 * * [simplify]: Extracting #1: cost 3 inf + 0 223.891 * * [simplify]: Extracting #2: cost 10 inf + 0 223.891 * * [simplify]: Extracting #3: cost 66 inf + 0 223.892 * * [simplify]: Extracting #4: cost 117 inf + 44 223.892 * * [simplify]: Extracting #5: cost 158 inf + 1348 223.893 * * [simplify]: Extracting #6: cost 234 inf + 2972 223.894 * * [simplify]: Extracting #7: cost 235 inf + 3506 223.898 * * [simplify]: Extracting #8: cost 165 inf + 19805 223.907 * * [simplify]: Extracting #9: cost 68 inf + 55875 223.933 * * [simplify]: Extracting #10: cost 13 inf + 94707 223.957 * * [simplify]: Extracting #11: cost 0 inf + 105486 223.979 * * [simplify]: Extracting #12: cost 0 inf + 104646 224.017 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 224.017 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 224.018 * * * * [progress]: [ 176 / 5906 ] simplifiying candidate # 224.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 224.019 * * [simplify]: iters left: 6 (52 enodes) 224.046 * * [simplify]: iters left: 5 (254 enodes) 224.116 * * [simplify]: Extracting #0: cost 1 inf + 0 224.116 * * [simplify]: Extracting #1: cost 3 inf + 0 224.116 * * [simplify]: Extracting #2: cost 10 inf + 0 224.116 * * [simplify]: Extracting #3: cost 74 inf + 0 224.116 * * [simplify]: Extracting #4: cost 137 inf + 1 224.117 * * [simplify]: Extracting #5: cost 196 inf + 207 224.118 * * [simplify]: Extracting #6: cost 272 inf + 1797 224.119 * * [simplify]: Extracting #7: cost 250 inf + 7146 224.124 * * [simplify]: Extracting #8: cost 140 inf + 35614 224.137 * * [simplify]: Extracting #9: cost 45 inf + 75989 224.160 * * [simplify]: Extracting #10: cost 6 inf + 116337 224.202 * * [simplify]: Extracting #11: cost 1 inf + 124262 224.230 * * [simplify]: Extracting #12: cost 0 inf + 126327 224.262 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) 224.262 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 224.264 * * * * [progress]: [ 177 / 5906 ] simplifiying candidate # 224.264 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 224.265 * * [simplify]: iters left: 6 (47 enodes) 224.279 * * [simplify]: iters left: 5 (226 enodes) 224.332 * * [simplify]: Extracting #0: cost 1 inf + 0 224.332 * * [simplify]: Extracting #1: cost 3 inf + 0 224.332 * * [simplify]: Extracting #2: cost 10 inf + 0 224.332 * * [simplify]: Extracting #3: cost 65 inf + 0 224.333 * * [simplify]: Extracting #4: cost 116 inf + 86 224.333 * * [simplify]: Extracting #5: cost 157 inf + 1350 224.334 * * [simplify]: Extracting #6: cost 234 inf + 2932 224.336 * * [simplify]: Extracting #7: cost 233 inf + 3709 224.340 * * [simplify]: Extracting #8: cost 165 inf + 20147 224.348 * * [simplify]: Extracting #9: cost 75 inf + 51197 224.366 * * [simplify]: Extracting #10: cost 17 inf + 91934 224.390 * * [simplify]: Extracting #11: cost 0 inf + 106206 224.429 * * [simplify]: Extracting #12: cost 0 inf + 105206 224.471 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 224.471 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 224.472 * * * * [progress]: [ 178 / 5906 ] simplifiying candidate # 224.473 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 224.473 * * [simplify]: iters left: 6 (52 enodes) 224.501 * * [simplify]: iters left: 5 (254 enodes) 224.583 * * [simplify]: Extracting #0: cost 1 inf + 0 224.583 * * [simplify]: Extracting #1: cost 3 inf + 0 224.583 * * [simplify]: Extracting #2: cost 6 inf + 0 224.583 * * [simplify]: Extracting #3: cost 56 inf + 0 224.584 * * [simplify]: Extracting #4: cost 130 inf + 0 224.585 * * [simplify]: Extracting #5: cost 211 inf + 0 224.586 * * [simplify]: Extracting #6: cost 296 inf + 760 224.589 * * [simplify]: Extracting #7: cost 249 inf + 10693 224.598 * * [simplify]: Extracting #8: cost 163 inf + 27737 224.614 * * [simplify]: Extracting #9: cost 96 inf + 52004 224.632 * * [simplify]: Extracting #10: cost 41 inf + 80193 224.659 * * [simplify]: Extracting #11: cost 10 inf + 115408 224.689 * * [simplify]: Extracting #12: cost 1 inf + 128353 224.734 * * [simplify]: Extracting #13: cost 0 inf + 130418 224.783 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 224.783 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 224.784 * * * * [progress]: [ 179 / 5906 ] simplifiying candidate # 224.784 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 224.785 * * [simplify]: iters left: 6 (53 enodes) 224.814 * * [simplify]: iters left: 5 (263 enodes) 224.907 * * [simplify]: Extracting #0: cost 1 inf + 0 224.907 * * [simplify]: Extracting #1: cost 3 inf + 0 224.907 * * [simplify]: Extracting #2: cost 6 inf + 0 224.907 * * [simplify]: Extracting #3: cost 60 inf + 0 224.908 * * [simplify]: Extracting #4: cost 153 inf + 0 224.909 * * [simplify]: Extracting #5: cost 225 inf + 44 224.912 * * [simplify]: Extracting #6: cost 278 inf + 4122 224.917 * * [simplify]: Extracting #7: cost 235 inf + 15228 224.923 * * [simplify]: Extracting #8: cost 170 inf + 29545 224.935 * * [simplify]: Extracting #9: cost 98 inf + 56135 224.950 * * [simplify]: Extracting #10: cost 47 inf + 81500 224.978 * * [simplify]: Extracting #11: cost 12 inf + 116855 225.015 * * [simplify]: Extracting #12: cost 0 inf + 131675 225.064 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 225.064 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 225.065 * * * * [progress]: [ 180 / 5906 ] simplifiying candidate # 225.065 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 225.065 * * [simplify]: iters left: 6 (53 enodes) 225.082 * * [simplify]: iters left: 5 (263 enodes) 225.170 * * [simplify]: Extracting #0: cost 1 inf + 0 225.170 * * [simplify]: Extracting #1: cost 3 inf + 0 225.170 * * [simplify]: Extracting #2: cost 6 inf + 0 225.170 * * [simplify]: Extracting #3: cost 62 inf + 0 225.170 * * [simplify]: Extracting #4: cost 151 inf + 0 225.171 * * [simplify]: Extracting #5: cost 221 inf + 44 225.176 * * [simplify]: Extracting #6: cost 274 inf + 4080 225.179 * * [simplify]: Extracting #7: cost 227 inf + 16154 225.190 * * [simplify]: Extracting #8: cost 144 inf + 36960 225.212 * * [simplify]: Extracting #9: cost 64 inf + 66660 225.228 * * [simplify]: Extracting #10: cost 36 inf + 86647 225.263 * * [simplify]: Extracting #11: cost 8 inf + 118187 225.303 * * [simplify]: Extracting #12: cost 0 inf + 130667 225.334 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 225.334 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 225.335 * * * * [progress]: [ 181 / 5906 ] simplifiying candidate # 225.336 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 225.336 * * [simplify]: iters left: 6 (47 enodes) 225.361 * * [simplify]: iters left: 5 (227 enodes) 225.466 * * [simplify]: Extracting #0: cost 1 inf + 0 225.466 * * [simplify]: Extracting #1: cost 3 inf + 0 225.466 * * [simplify]: Extracting #2: cost 6 inf + 0 225.466 * * [simplify]: Extracting #3: cost 54 inf + 0 225.467 * * [simplify]: Extracting #4: cost 119 inf + 0 225.467 * * [simplify]: Extracting #5: cost 169 inf + 44 225.469 * * [simplify]: Extracting #6: cost 241 inf + 1237 225.472 * * [simplify]: Extracting #7: cost 225 inf + 4937 225.482 * * [simplify]: Extracting #8: cost 128 inf + 28328 225.501 * * [simplify]: Extracting #9: cost 64 inf + 53373 225.523 * * [simplify]: Extracting #10: cost 15 inf + 92021 225.549 * * [simplify]: Extracting #11: cost 1 inf + 106621 225.581 * * [simplify]: Extracting #12: cost 0 inf + 108526 225.607 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 225.607 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 225.609 * * * * [progress]: [ 182 / 5906 ] simplifiying candidate # 225.609 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 225.610 * * [simplify]: iters left: 6 (52 enodes) 225.647 * * [simplify]: iters left: 5 (255 enodes) 225.745 * * [simplify]: Extracting #0: cost 1 inf + 0 225.745 * * [simplify]: Extracting #1: cost 3 inf + 0 225.745 * * [simplify]: Extracting #2: cost 10 inf + 0 225.745 * * [simplify]: Extracting #3: cost 74 inf + 0 225.745 * * [simplify]: Extracting #4: cost 137 inf + 1 225.746 * * [simplify]: Extracting #5: cost 192 inf + 165 225.747 * * [simplify]: Extracting #6: cost 255 inf + 3787 225.749 * * [simplify]: Extracting #7: cost 231 inf + 10185 225.753 * * [simplify]: Extracting #8: cost 164 inf + 24504 225.760 * * [simplify]: Extracting #9: cost 104 inf + 46480 225.777 * * [simplify]: Extracting #10: cost 57 inf + 67154 225.808 * * [simplify]: Extracting #11: cost 31 inf + 84082 225.845 * * [simplify]: Extracting #12: cost 2 inf + 118207 225.877 * * [simplify]: Extracting #13: cost 0 inf + 122137 225.928 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 225.928 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 225.929 * * * * [progress]: [ 183 / 5906 ] simplifiying candidate # 225.929 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 225.929 * * [simplify]: iters left: 6 (47 enodes) 225.942 * * [simplify]: iters left: 5 (227 enodes) 226.028 * * [simplify]: Extracting #0: cost 1 inf + 0 226.028 * * [simplify]: Extracting #1: cost 3 inf + 0 226.028 * * [simplify]: Extracting #2: cost 10 inf + 0 226.029 * * [simplify]: Extracting #3: cost 66 inf + 0 226.029 * * [simplify]: Extracting #4: cost 117 inf + 44 226.030 * * [simplify]: Extracting #5: cost 152 inf + 1270 226.032 * * [simplify]: Extracting #6: cost 228 inf + 2976 226.035 * * [simplify]: Extracting #7: cost 226 inf + 4567 226.046 * * [simplify]: Extracting #8: cost 128 inf + 28037 226.068 * * [simplify]: Extracting #9: cost 54 inf + 59925 226.095 * * [simplify]: Extracting #10: cost 13 inf + 87291 226.116 * * [simplify]: Extracting #11: cost 3 inf + 97741 226.153 * * [simplify]: Extracting #12: cost 1 inf + 101351 226.192 * * [simplify]: Extracting #13: cost 0 inf + 103176 226.213 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 226.213 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 226.214 * * * * [progress]: [ 184 / 5906 ] simplifiying candidate # 226.214 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 226.214 * * [simplify]: iters left: 6 (52 enodes) 226.232 * * [simplify]: iters left: 5 (255 enodes) 226.324 * * [simplify]: Extracting #0: cost 1 inf + 0 226.324 * * [simplify]: Extracting #1: cost 3 inf + 0 226.324 * * [simplify]: Extracting #2: cost 10 inf + 0 226.324 * * [simplify]: Extracting #3: cost 74 inf + 0 226.325 * * [simplify]: Extracting #4: cost 137 inf + 1 226.326 * * [simplify]: Extracting #5: cost 192 inf + 165 226.328 * * [simplify]: Extracting #6: cost 253 inf + 4108 226.332 * * [simplify]: Extracting #7: cost 229 inf + 10588 226.340 * * [simplify]: Extracting #8: cost 165 inf + 24423 226.355 * * [simplify]: Extracting #9: cost 105 inf + 46977 226.375 * * [simplify]: Extracting #10: cost 57 inf + 68114 226.390 * * [simplify]: Extracting #11: cost 31 inf + 85042 226.424 * * [simplify]: Extracting #12: cost 2 inf + 119167 226.456 * * [simplify]: Extracting #13: cost 0 inf + 123097 226.506 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 226.507 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 226.508 * * * * [progress]: [ 185 / 5906 ] simplifiying candidate # 226.508 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 226.509 * * [simplify]: iters left: 6 (47 enodes) 226.534 * * [simplify]: iters left: 5 (227 enodes) 226.607 * * [simplify]: Extracting #0: cost 1 inf + 0 226.608 * * [simplify]: Extracting #1: cost 3 inf + 0 226.608 * * [simplify]: Extracting #2: cost 10 inf + 0 226.608 * * [simplify]: Extracting #3: cost 65 inf + 0 226.608 * * [simplify]: Extracting #4: cost 116 inf + 86 226.609 * * [simplify]: Extracting #5: cost 151 inf + 1472 226.612 * * [simplify]: Extracting #6: cost 229 inf + 2934 226.614 * * [simplify]: Extracting #7: cost 229 inf + 4283 226.622 * * [simplify]: Extracting #8: cost 137 inf + 24942 226.639 * * [simplify]: Extracting #9: cost 67 inf + 51572 226.666 * * [simplify]: Extracting #10: cost 16 inf + 84659 226.704 * * [simplify]: Extracting #11: cost 3 inf + 96421 226.744 * * [simplify]: Extracting #12: cost 1 inf + 99871 226.767 * * [simplify]: Extracting #13: cost 0 inf + 101696 226.790 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 226.790 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 226.790 * * * * [progress]: [ 186 / 5906 ] simplifiying candidate # 226.791 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 226.791 * * [simplify]: iters left: 6 (52 enodes) 226.814 * * [simplify]: iters left: 5 (254 enodes) 226.910 * * [simplify]: Extracting #0: cost 1 inf + 0 226.910 * * [simplify]: Extracting #1: cost 3 inf + 0 226.910 * * [simplify]: Extracting #2: cost 6 inf + 0 226.911 * * [simplify]: Extracting #3: cost 56 inf + 0 226.911 * * [simplify]: Extracting #4: cost 130 inf + 0 226.912 * * [simplify]: Extracting #5: cost 215 inf + 0 226.914 * * [simplify]: Extracting #6: cost 304 inf + 722 226.917 * * [simplify]: Extracting #7: cost 263 inf + 8577 226.924 * * [simplify]: Extracting #8: cost 178 inf + 23632 226.935 * * [simplify]: Extracting #9: cost 117 inf + 41527 226.947 * * [simplify]: Extracting #10: cost 52 inf + 73924 226.978 * * [simplify]: Extracting #11: cost 8 inf + 117989 227.019 * * [simplify]: Extracting #12: cost 1 inf + 127343 227.050 * * [simplify]: Extracting #13: cost 0 inf + 129328 227.077 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 227.077 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 227.078 * * * * [progress]: [ 187 / 5906 ] simplifiying candidate # 227.079 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 227.079 * * [simplify]: iters left: 6 (53 enodes) 227.108 * * [simplify]: iters left: 5 (263 enodes) 227.213 * * [simplify]: Extracting #0: cost 1 inf + 0 227.213 * * [simplify]: Extracting #1: cost 3 inf + 0 227.213 * * [simplify]: Extracting #2: cost 6 inf + 0 227.213 * * [simplify]: Extracting #3: cost 60 inf + 0 227.214 * * [simplify]: Extracting #4: cost 153 inf + 0 227.214 * * [simplify]: Extracting #5: cost 228 inf + 85 227.215 * * [simplify]: Extracting #6: cost 285 inf + 3833 227.218 * * [simplify]: Extracting #7: cost 250 inf + 11578 227.222 * * [simplify]: Extracting #8: cost 172 inf + 27057 227.244 * * [simplify]: Extracting #9: cost 99 inf + 55321 227.271 * * [simplify]: Extracting #10: cost 51 inf + 78590 227.315 * * [simplify]: Extracting #11: cost 11 inf + 119710 227.367 * * [simplify]: Extracting #12: cost 0 inf + 135305 227.405 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 227.405 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 227.406 * * * * [progress]: [ 188 / 5906 ] simplifiying candidate # 227.406 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 227.406 * * [simplify]: iters left: 6 (53 enodes) 227.423 * * [simplify]: iters left: 5 (263 enodes) 227.489 * * [simplify]: Extracting #0: cost 1 inf + 0 227.489 * * [simplify]: Extracting #1: cost 3 inf + 0 227.489 * * [simplify]: Extracting #2: cost 6 inf + 0 227.489 * * [simplify]: Extracting #3: cost 62 inf + 0 227.490 * * [simplify]: Extracting #4: cost 151 inf + 0 227.495 * * [simplify]: Extracting #5: cost 225 inf + 44 227.497 * * [simplify]: Extracting #6: cost 284 inf + 3749 227.502 * * [simplify]: Extracting #7: cost 243 inf + 13176 227.510 * * [simplify]: Extracting #8: cost 182 inf + 24058 227.529 * * [simplify]: Extracting #9: cost 98 inf + 57497 227.555 * * [simplify]: Extracting #10: cost 46 inf + 81987 227.577 * * [simplify]: Extracting #11: cost 13 inf + 115612 227.605 * * [simplify]: Extracting #12: cost 0 inf + 131297 227.651 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 227.651 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 227.653 * * * * [progress]: [ 189 / 5906 ] simplifiying candidate # 227.653 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 227.654 * * [simplify]: iters left: 6 (47 enodes) 227.678 * * [simplify]: iters left: 5 (227 enodes) 227.779 * * [simplify]: Extracting #0: cost 1 inf + 0 227.779 * * [simplify]: Extracting #1: cost 3 inf + 0 227.779 * * [simplify]: Extracting #2: cost 6 inf + 0 227.779 * * [simplify]: Extracting #3: cost 54 inf + 0 227.780 * * [simplify]: Extracting #4: cost 119 inf + 0 227.785 * * [simplify]: Extracting #5: cost 173 inf + 44 227.787 * * [simplify]: Extracting #6: cost 247 inf + 1193 227.790 * * [simplify]: Extracting #7: cost 236 inf + 3468 227.795 * * [simplify]: Extracting #8: cost 167 inf + 16169 227.804 * * [simplify]: Extracting #9: cost 110 inf + 36036 227.815 * * [simplify]: Extracting #10: cost 50 inf + 62450 227.832 * * [simplify]: Extracting #11: cost 14 inf + 92126 227.865 * * [simplify]: Extracting #12: cost 1 inf + 107491 227.897 * * [simplify]: Extracting #13: cost 0 inf + 109356 227.922 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 227.922 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 227.922 * * * * [progress]: [ 190 / 5906 ] simplifiying candidate # 227.923 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 227.923 * * [simplify]: iters left: 6 (52 enodes) 227.949 * * [simplify]: iters left: 5 (255 enodes) 228.019 * * [simplify]: Extracting #0: cost 1 inf + 0 228.019 * * [simplify]: Extracting #1: cost 3 inf + 0 228.019 * * [simplify]: Extracting #2: cost 10 inf + 0 228.020 * * [simplify]: Extracting #3: cost 74 inf + 0 228.020 * * [simplify]: Extracting #4: cost 137 inf + 1 228.020 * * [simplify]: Extracting #5: cost 195 inf + 207 228.021 * * [simplify]: Extracting #6: cost 265 inf + 3171 228.023 * * [simplify]: Extracting #7: cost 250 inf + 7096 228.029 * * [simplify]: Extracting #8: cost 170 inf + 24260 228.044 * * [simplify]: Extracting #9: cost 106 inf + 45963 228.063 * * [simplify]: Extracting #10: cost 44 inf + 76987 228.086 * * [simplify]: Extracting #11: cost 9 inf + 115782 228.113 * * [simplify]: Extracting #12: cost 0 inf + 125687 228.141 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 228.141 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 228.141 * * * * [progress]: [ 191 / 5906 ] simplifiying candidate # 228.142 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 228.142 * * [simplify]: iters left: 6 (47 enodes) 228.155 * * [simplify]: iters left: 5 (227 enodes) 228.230 * * [simplify]: Extracting #0: cost 1 inf + 0 228.231 * * [simplify]: Extracting #1: cost 3 inf + 0 228.231 * * [simplify]: Extracting #2: cost 10 inf + 0 228.231 * * [simplify]: Extracting #3: cost 66 inf + 0 228.232 * * [simplify]: Extracting #4: cost 117 inf + 44 228.233 * * [simplify]: Extracting #5: cost 157 inf + 1228 228.235 * * [simplify]: Extracting #6: cost 234 inf + 2932 228.240 * * [simplify]: Extracting #7: cost 234 inf + 3667 228.244 * * [simplify]: Extracting #8: cost 156 inf + 21574 228.254 * * [simplify]: Extracting #9: cost 57 inf + 62294 228.272 * * [simplify]: Extracting #10: cost 15 inf + 87737 228.304 * * [simplify]: Extracting #11: cost 3 inf + 96691 228.324 * * [simplify]: Extracting #12: cost 1 inf + 100221 228.358 * * [simplify]: Extracting #13: cost 0 inf + 102006 228.399 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 228.399 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 228.401 * * * * [progress]: [ 192 / 5906 ] simplifiying candidate # 228.401 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 228.402 * * [simplify]: iters left: 6 (52 enodes) 228.430 * * [simplify]: iters left: 5 (255 enodes) 228.527 * * [simplify]: Extracting #0: cost 1 inf + 0 228.527 * * [simplify]: Extracting #1: cost 3 inf + 0 228.527 * * [simplify]: Extracting #2: cost 10 inf + 0 228.527 * * [simplify]: Extracting #3: cost 74 inf + 0 228.528 * * [simplify]: Extracting #4: cost 137 inf + 1 228.529 * * [simplify]: Extracting #5: cost 195 inf + 207 228.530 * * [simplify]: Extracting #6: cost 271 inf + 1799 228.533 * * [simplify]: Extracting #7: cost 253 inf + 6250 228.540 * * [simplify]: Extracting #8: cost 172 inf + 23947 228.555 * * [simplify]: Extracting #9: cost 105 inf + 46707 228.580 * * [simplify]: Extracting #10: cost 42 inf + 78637 228.618 * * [simplify]: Extracting #11: cost 10 inf + 114677 228.656 * * [simplify]: Extracting #12: cost 0 inf + 126647 228.684 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 228.684 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 228.684 * * * * [progress]: [ 193 / 5906 ] simplifiying candidate # 228.685 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 228.685 * * [simplify]: iters left: 6 (47 enodes) 228.705 * * [simplify]: iters left: 5 (227 enodes) 228.767 * * [simplify]: Extracting #0: cost 1 inf + 0 228.767 * * [simplify]: Extracting #1: cost 3 inf + 0 228.767 * * [simplify]: Extracting #2: cost 10 inf + 0 228.767 * * [simplify]: Extracting #3: cost 65 inf + 0 228.767 * * [simplify]: Extracting #4: cost 117 inf + 44 228.768 * * [simplify]: Extracting #5: cost 162 inf + 618 228.771 * * [simplify]: Extracting #6: cost 235 inf + 2770 228.773 * * [simplify]: Extracting #7: cost 235 inf + 3586 228.776 * * [simplify]: Extracting #8: cost 153 inf + 22403 228.790 * * [simplify]: Extracting #9: cost 65 inf + 57199 228.813 * * [simplify]: Extracting #10: cost 15 inf + 87857 228.845 * * [simplify]: Extracting #11: cost 3 inf + 98091 228.865 * * [simplify]: Extracting #12: cost 1 inf + 101701 228.886 * * [simplify]: Extracting #13: cost 0 inf + 103526 228.911 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))) 228.911 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 228.912 * * * * [progress]: [ 194 / 5906 ] simplifiying candidate # 228.912 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 228.913 * * [simplify]: iters left: 6 (52 enodes) 228.932 * * [simplify]: iters left: 5 (254 enodes) 229.002 * * [simplify]: Extracting #0: cost 1 inf + 0 229.002 * * [simplify]: Extracting #1: cost 3 inf + 0 229.002 * * [simplify]: Extracting #2: cost 6 inf + 0 229.002 * * [simplify]: Extracting #3: cost 56 inf + 0 229.002 * * [simplify]: Extracting #4: cost 130 inf + 0 229.002 * * [simplify]: Extracting #5: cost 212 inf + 0 229.003 * * [simplify]: Extracting #6: cost 295 inf + 972 229.005 * * [simplify]: Extracting #7: cost 249 inf + 11495 229.009 * * [simplify]: Extracting #8: cost 164 inf + 27102 229.017 * * [simplify]: Extracting #9: cost 105 inf + 47794 229.037 * * [simplify]: Extracting #10: cost 45 inf + 77373 229.061 * * [simplify]: Extracting #11: cost 14 inf + 113308 229.100 * * [simplify]: Extracting #12: cost 1 inf + 129873 229.139 * * [simplify]: Extracting #13: cost 0 inf + 131978 229.170 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 229.170 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 229.171 * * * * [progress]: [ 195 / 5906 ] simplifiying candidate # 229.171 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 229.171 * * [simplify]: iters left: 6 (53 enodes) 229.188 * * [simplify]: iters left: 5 (263 enodes) 229.275 * * [simplify]: Extracting #0: cost 1 inf + 0 229.275 * * [simplify]: Extracting #1: cost 3 inf + 0 229.275 * * [simplify]: Extracting #2: cost 6 inf + 0 229.275 * * [simplify]: Extracting #3: cost 60 inf + 0 229.276 * * [simplify]: Extracting #4: cost 153 inf + 0 229.277 * * [simplify]: Extracting #5: cost 226 inf + 44 229.279 * * [simplify]: Extracting #6: cost 279 inf + 4000 229.284 * * [simplify]: Extracting #7: cost 234 inf + 15040 229.293 * * [simplify]: Extracting #8: cost 163 inf + 30890 229.308 * * [simplify]: Extracting #9: cost 100 inf + 53861 229.330 * * [simplify]: Extracting #10: cost 52 inf + 77015 229.367 * * [simplify]: Extracting #11: cost 14 inf + 114605 229.398 * * [simplify]: Extracting #12: cost 0 inf + 133155 229.427 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 229.427 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 229.428 * * * * [progress]: [ 196 / 5906 ] simplifiying candidate # 229.428 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 229.428 * * [simplify]: iters left: 6 (53 enodes) 229.449 * * [simplify]: iters left: 5 (263 enodes) 229.549 * * [simplify]: Extracting #0: cost 1 inf + 0 229.549 * * [simplify]: Extracting #1: cost 3 inf + 0 229.549 * * [simplify]: Extracting #2: cost 6 inf + 0 229.549 * * [simplify]: Extracting #3: cost 62 inf + 0 229.550 * * [simplify]: Extracting #4: cost 151 inf + 0 229.550 * * [simplify]: Extracting #5: cost 222 inf + 44 229.552 * * [simplify]: Extracting #6: cost 274 inf + 4121 229.555 * * [simplify]: Extracting #7: cost 226 inf + 17202 229.563 * * [simplify]: Extracting #8: cost 171 inf + 28244 229.580 * * [simplify]: Extracting #9: cost 99 inf + 57100 229.610 * * [simplify]: Extracting #10: cost 45 inf + 81262 229.637 * * [simplify]: Extracting #11: cost 13 inf + 113822 229.676 * * [simplify]: Extracting #12: cost 0 inf + 129507 229.718 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 229.718 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 229.719 * * * * [progress]: [ 197 / 5906 ] simplifiying candidate # 229.719 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 229.720 * * [simplify]: iters left: 6 (47 enodes) 229.735 * * [simplify]: iters left: 5 (227 enodes) 229.795 * * [simplify]: Extracting #0: cost 1 inf + 0 229.795 * * [simplify]: Extracting #1: cost 3 inf + 0 229.795 * * [simplify]: Extracting #2: cost 6 inf + 0 229.795 * * [simplify]: Extracting #3: cost 54 inf + 0 229.795 * * [simplify]: Extracting #4: cost 119 inf + 0 229.796 * * [simplify]: Extracting #5: cost 170 inf + 44 229.797 * * [simplify]: Extracting #6: cost 240 inf + 1319 229.798 * * [simplify]: Extracting #7: cost 224 inf + 5019 229.802 * * [simplify]: Extracting #8: cost 152 inf + 20616 229.809 * * [simplify]: Extracting #9: cost 98 inf + 41919 229.822 * * [simplify]: Extracting #10: cost 47 inf + 63297 229.840 * * [simplify]: Extracting #11: cost 11 inf + 93971 229.868 * * [simplify]: Extracting #12: cost 1 inf + 106781 229.891 * * [simplify]: Extracting #13: cost 0 inf + 108686 229.926 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 229.926 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 229.927 * * * * [progress]: [ 198 / 5906 ] simplifiying candidate # 229.928 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 229.929 * * [simplify]: iters left: 6 (52 enodes) 229.959 * * [simplify]: iters left: 5 (255 enodes) 230.033 * * [simplify]: Extracting #0: cost 1 inf + 0 230.033 * * [simplify]: Extracting #1: cost 3 inf + 0 230.033 * * [simplify]: Extracting #2: cost 10 inf + 0 230.033 * * [simplify]: Extracting #3: cost 74 inf + 0 230.033 * * [simplify]: Extracting #4: cost 137 inf + 1 230.034 * * [simplify]: Extracting #5: cost 192 inf + 207 230.035 * * [simplify]: Extracting #6: cost 253 inf + 4111 230.037 * * [simplify]: Extracting #7: cost 232 inf + 9863 230.041 * * [simplify]: Extracting #8: cost 163 inf + 24887 230.051 * * [simplify]: Extracting #9: cost 104 inf + 47001 230.065 * * [simplify]: Extracting #10: cost 38 inf + 81829 230.101 * * [simplify]: Extracting #11: cost 3 inf + 117302 230.145 * * [simplify]: Extracting #12: cost 0 inf + 123337 230.193 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 230.193 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 230.195 * * * * [progress]: [ 199 / 5906 ] simplifiying candidate # 230.195 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 230.196 * * [simplify]: iters left: 6 (47 enodes) 230.224 * * [simplify]: iters left: 5 (227 enodes) 230.290 * * [simplify]: Extracting #0: cost 1 inf + 0 230.290 * * [simplify]: Extracting #1: cost 3 inf + 0 230.290 * * [simplify]: Extracting #2: cost 10 inf + 0 230.290 * * [simplify]: Extracting #3: cost 66 inf + 0 230.291 * * [simplify]: Extracting #4: cost 117 inf + 44 230.291 * * [simplify]: Extracting #5: cost 154 inf + 1228 230.292 * * [simplify]: Extracting #6: cost 228 inf + 2976 230.294 * * [simplify]: Extracting #7: cost 226 inf + 4567 230.298 * * [simplify]: Extracting #8: cost 125 inf + 29008 230.313 * * [simplify]: Extracting #9: cost 53 inf + 60807 230.347 * * [simplify]: Extracting #10: cost 13 inf + 87731 230.382 * * [simplify]: Extracting #11: cost 3 inf + 97821 230.414 * * [simplify]: Extracting #12: cost 1 inf + 101431 230.454 * * [simplify]: Extracting #13: cost 0 inf + 103256 230.495 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 230.495 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 230.496 * * * * [progress]: [ 200 / 5906 ] simplifiying candidate # 230.496 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 230.497 * * [simplify]: iters left: 6 (52 enodes) 230.519 * * [simplify]: iters left: 5 (255 enodes) 230.602 * * [simplify]: Extracting #0: cost 1 inf + 0 230.602 * * [simplify]: Extracting #1: cost 3 inf + 0 230.602 * * [simplify]: Extracting #2: cost 10 inf + 0 230.602 * * [simplify]: Extracting #3: cost 74 inf + 0 230.603 * * [simplify]: Extracting #4: cost 137 inf + 1 230.604 * * [simplify]: Extracting #5: cost 192 inf + 207 230.606 * * [simplify]: Extracting #6: cost 251 inf + 4432 230.610 * * [simplify]: Extracting #7: cost 230 inf + 10347 230.622 * * [simplify]: Extracting #8: cost 164 inf + 24766 230.631 * * [simplify]: Extracting #9: cost 105 inf + 47498 230.646 * * [simplify]: Extracting #10: cost 36 inf + 83359 230.680 * * [simplify]: Extracting #11: cost 3 inf + 118262 230.720 * * [simplify]: Extracting #12: cost 0 inf + 124297 230.751 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 230.751 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 230.752 * * * * [progress]: [ 201 / 5906 ] simplifiying candidate # 230.752 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 230.752 * * [simplify]: iters left: 6 (47 enodes) 230.776 * * [simplify]: iters left: 5 (227 enodes) 230.864 * * [simplify]: Extracting #0: cost 1 inf + 0 230.864 * * [simplify]: Extracting #1: cost 3 inf + 0 230.864 * * [simplify]: Extracting #2: cost 10 inf + 0 230.864 * * [simplify]: Extracting #3: cost 65 inf + 0 230.865 * * [simplify]: Extracting #4: cost 117 inf + 44 230.865 * * [simplify]: Extracting #5: cost 159 inf + 618 230.866 * * [simplify]: Extracting #6: cost 230 inf + 2772 230.867 * * [simplify]: Extracting #7: cost 227 inf + 4527 230.871 * * [simplify]: Extracting #8: cost 138 inf + 24436 230.883 * * [simplify]: Extracting #9: cost 60 inf + 56454 230.906 * * [simplify]: Extracting #10: cost 14 inf + 86466 230.926 * * [simplify]: Extracting #11: cost 3 inf + 97261 230.947 * * [simplify]: Extracting #12: cost 1 inf + 100951 230.978 * * [simplify]: Extracting #13: cost 0 inf + 102816 231.008 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))) 231.008 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 231.009 * * * * [progress]: [ 202 / 5906 ] simplifiying candidate # 231.009 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 231.010 * * [simplify]: iters left: 6 (47 enodes) 231.024 * * [simplify]: iters left: 5 (229 enodes) 231.124 * * [simplify]: Extracting #0: cost 1 inf + 0 231.124 * * [simplify]: Extracting #1: cost 3 inf + 0 231.125 * * [simplify]: Extracting #2: cost 6 inf + 0 231.125 * * [simplify]: Extracting #3: cost 48 inf + 0 231.125 * * [simplify]: Extracting #4: cost 112 inf + 0 231.127 * * [simplify]: Extracting #5: cost 181 inf + 0 231.128 * * [simplify]: Extracting #6: cost 261 inf + 128 231.131 * * [simplify]: Extracting #7: cost 228 inf + 6540 231.140 * * [simplify]: Extracting #8: cost 116 inf + 31790 231.164 * * [simplify]: Extracting #9: cost 45 inf + 61660 231.195 * * [simplify]: Extracting #10: cost 7 inf + 96446 231.217 * * [simplify]: Extracting #11: cost 0 inf + 105160 231.257 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 231.257 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 231.259 * * * * [progress]: [ 203 / 5906 ] simplifiying candidate # 231.259 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 231.260 * * [simplify]: iters left: 6 (48 enodes) 231.276 * * [simplify]: iters left: 5 (238 enodes) 231.362 * * [simplify]: Extracting #0: cost 1 inf + 0 231.362 * * [simplify]: Extracting #1: cost 3 inf + 0 231.362 * * [simplify]: Extracting #2: cost 6 inf + 0 231.362 * * [simplify]: Extracting #3: cost 52 inf + 0 231.363 * * [simplify]: Extracting #4: cost 135 inf + 0 231.363 * * [simplify]: Extracting #5: cost 190 inf + 371 231.365 * * [simplify]: Extracting #6: cost 232 inf + 4926 231.367 * * [simplify]: Extracting #7: cost 213 inf + 12633 231.370 * * [simplify]: Extracting #8: cost 172 inf + 18549 231.375 * * [simplify]: Extracting #9: cost 121 inf + 27683 231.384 * * [simplify]: Extracting #10: cost 59 inf + 56215 231.424 * * [simplify]: Extracting #11: cost 5 inf + 100172 231.454 * * [simplify]: Extracting #12: cost 0 inf + 106657 231.485 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 231.486 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 231.487 * * * * [progress]: [ 204 / 5906 ] simplifiying candidate # 231.487 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 231.488 * * [simplify]: iters left: 6 (48 enodes) 231.514 * * [simplify]: iters left: 5 (238 enodes) 231.584 * * [simplify]: Extracting #0: cost 1 inf + 0 231.584 * * [simplify]: Extracting #1: cost 3 inf + 0 231.584 * * [simplify]: Extracting #2: cost 6 inf + 0 231.584 * * [simplify]: Extracting #3: cost 54 inf + 0 231.584 * * [simplify]: Extracting #4: cost 133 inf + 0 231.585 * * [simplify]: Extracting #5: cost 187 inf + 290 231.586 * * [simplify]: Extracting #6: cost 228 inf + 5207 231.589 * * [simplify]: Extracting #7: cost 205 inf + 11506 231.593 * * [simplify]: Extracting #8: cost 125 inf + 31184 231.602 * * [simplify]: Extracting #9: cost 58 inf + 53930 231.634 * * [simplify]: Extracting #10: cost 12 inf + 91257 231.677 * * [simplify]: Extracting #11: cost 2 inf + 100759 231.718 * * [simplify]: Extracting #12: cost 0 inf + 104369 231.742 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 231.742 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 231.743 * * * * [progress]: [ 205 / 5906 ] simplifiying candidate # 231.743 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 231.743 * * [simplify]: iters left: 6 (42 enodes) 231.756 * * [simplify]: iters left: 5 (203 enodes) 231.828 * * [simplify]: Extracting #0: cost 1 inf + 0 231.828 * * [simplify]: Extracting #1: cost 3 inf + 0 231.828 * * [simplify]: Extracting #2: cost 6 inf + 0 231.828 * * [simplify]: Extracting #3: cost 46 inf + 0 231.828 * * [simplify]: Extracting #4: cost 101 inf + 0 231.829 * * [simplify]: Extracting #5: cost 139 inf + 44 231.830 * * [simplify]: Extracting #6: cost 201 inf + 1275 231.832 * * [simplify]: Extracting #7: cost 193 inf + 3791 231.837 * * [simplify]: Extracting #8: cost 101 inf + 28375 231.850 * * [simplify]: Extracting #9: cost 34 inf + 61407 231.874 * * [simplify]: Extracting #10: cost 5 inf + 79932 231.910 * * [simplify]: Extracting #11: cost 0 inf + 82148 231.939 * * [simplify]: Extracting #12: cost 0 inf + 81948 231.960 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) 231.960 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 231.961 * * * * [progress]: [ 206 / 5906 ] simplifiying candidate # 231.961 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 231.961 * * [simplify]: iters left: 6 (47 enodes) 231.984 * * [simplify]: iters left: 5 (231 enodes) 232.086 * * [simplify]: Extracting #0: cost 1 inf + 0 232.086 * * [simplify]: Extracting #1: cost 3 inf + 0 232.086 * * [simplify]: Extracting #2: cost 10 inf + 0 232.086 * * [simplify]: Extracting #3: cost 62 inf + 0 232.087 * * [simplify]: Extracting #4: cost 115 inf + 42 232.087 * * [simplify]: Extracting #5: cost 155 inf + 331 232.089 * * [simplify]: Extracting #6: cost 221 inf + 2081 232.095 * * [simplify]: Extracting #7: cost 201 inf + 9137 232.100 * * [simplify]: Extracting #8: cost 166 inf + 12921 232.105 * * [simplify]: Extracting #9: cost 92 inf + 35755 232.115 * * [simplify]: Extracting #10: cost 38 inf + 61164 232.137 * * [simplify]: Extracting #11: cost 4 inf + 88704 232.161 * * [simplify]: Extracting #12: cost 0 inf + 95244 232.189 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 232.189 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 232.190 * * * * [progress]: [ 207 / 5906 ] simplifiying candidate # 232.190 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 232.191 * * [simplify]: iters left: 6 (42 enodes) 232.210 * * [simplify]: iters left: 5 (204 enodes) 232.271 * * [simplify]: Extracting #0: cost 1 inf + 0 232.271 * * [simplify]: Extracting #1: cost 3 inf + 0 232.271 * * [simplify]: Extracting #2: cost 10 inf + 0 232.271 * * [simplify]: Extracting #3: cost 54 inf + 0 232.272 * * [simplify]: Extracting #4: cost 95 inf + 86 232.272 * * [simplify]: Extracting #5: cost 121 inf + 1067 232.273 * * [simplify]: Extracting #6: cost 186 inf + 2932 232.274 * * [simplify]: Extracting #7: cost 194 inf + 3139 232.276 * * [simplify]: Extracting #8: cost 133 inf + 16126 232.284 * * [simplify]: Extracting #9: cost 62 inf + 41703 232.299 * * [simplify]: Extracting #10: cost 15 inf + 70626 232.331 * * [simplify]: Extracting #11: cost 0 inf + 79403 232.369 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 232.369 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 232.370 * * * * [progress]: [ 208 / 5906 ] simplifiying candidate # 232.370 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 232.371 * * [simplify]: iters left: 6 (47 enodes) 232.397 * * [simplify]: iters left: 5 (231 enodes) 232.501 * * [simplify]: Extracting #0: cost 1 inf + 0 232.501 * * [simplify]: Extracting #1: cost 3 inf + 0 232.501 * * [simplify]: Extracting #2: cost 10 inf + 0 232.501 * * [simplify]: Extracting #3: cost 62 inf + 0 232.502 * * [simplify]: Extracting #4: cost 115 inf + 42 232.503 * * [simplify]: Extracting #5: cost 154 inf + 494 232.505 * * [simplify]: Extracting #6: cost 213 inf + 3897 232.508 * * [simplify]: Extracting #7: cost 201 inf + 8836 232.516 * * [simplify]: Extracting #8: cost 132 inf + 23959 232.524 * * [simplify]: Extracting #9: cost 75 inf + 46212 232.536 * * [simplify]: Extracting #10: cost 32 inf + 66004 232.565 * * [simplify]: Extracting #11: cost 4 inf + 89264 232.605 * * [simplify]: Extracting #12: cost 0 inf + 95804 232.643 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 232.644 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 232.645 * * * * [progress]: [ 209 / 5906 ] simplifiying candidate # 232.645 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 232.646 * * [simplify]: iters left: 6 (42 enodes) 232.671 * * [simplify]: iters left: 5 (204 enodes) 232.731 * * [simplify]: Extracting #0: cost 1 inf + 0 232.732 * * [simplify]: Extracting #1: cost 3 inf + 0 232.732 * * [simplify]: Extracting #2: cost 10 inf + 0 232.732 * * [simplify]: Extracting #3: cost 53 inf + 0 232.732 * * [simplify]: Extracting #4: cost 96 inf + 44 232.733 * * [simplify]: Extracting #5: cost 124 inf + 781 232.735 * * [simplify]: Extracting #6: cost 187 inf + 2770 232.737 * * [simplify]: Extracting #7: cost 194 inf + 3139 232.743 * * [simplify]: Extracting #8: cost 132 inf + 15926 232.758 * * [simplify]: Extracting #9: cost 61 inf + 41945 232.784 * * [simplify]: Extracting #10: cost 17 inf + 69739 232.810 * * [simplify]: Extracting #11: cost 0 inf + 79883 232.827 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 232.827 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 232.828 * * * * [progress]: [ 210 / 5906 ] simplifiying candidate # 232.828 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 232.829 * * [simplify]: iters left: 6 (51 enodes) 232.857 * * [simplify]: iters left: 5 (256 enodes) 232.950 * * [simplify]: Extracting #0: cost 1 inf + 0 232.950 * * [simplify]: Extracting #1: cost 3 inf + 0 232.950 * * [simplify]: Extracting #2: cost 6 inf + 0 232.950 * * [simplify]: Extracting #3: cost 56 inf + 0 232.951 * * [simplify]: Extracting #4: cost 130 inf + 0 232.952 * * [simplify]: Extracting #5: cost 213 inf + 0 232.953 * * [simplify]: Extracting #6: cost 309 inf + 763 232.956 * * [simplify]: Extracting #7: cost 263 inf + 10839 232.967 * * [simplify]: Extracting #8: cost 146 inf + 39040 232.989 * * [simplify]: Extracting #9: cost 63 inf + 68307 233.016 * * [simplify]: Extracting #10: cost 12 inf + 119182 233.049 * * [simplify]: Extracting #11: cost 1 inf + 135137 233.078 * * [simplify]: Extracting #12: cost 0 inf + 137322 233.108 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 233.108 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 233.109 * * * * [progress]: [ 211 / 5906 ] simplifiying candidate # 233.109 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 233.110 * * [simplify]: iters left: 6 (52 enodes) 233.124 * * [simplify]: iters left: 5 (265 enodes) 233.191 * * [simplify]: Extracting #0: cost 1 inf + 0 233.191 * * [simplify]: Extracting #1: cost 3 inf + 0 233.191 * * [simplify]: Extracting #2: cost 6 inf + 0 233.191 * * [simplify]: Extracting #3: cost 60 inf + 0 233.192 * * [simplify]: Extracting #4: cost 153 inf + 0 233.192 * * [simplify]: Extracting #5: cost 226 inf + 85 233.194 * * [simplify]: Extracting #6: cost 285 inf + 5125 233.196 * * [simplify]: Extracting #7: cost 256 inf + 10711 233.201 * * [simplify]: Extracting #8: cost 184 inf + 24652 233.217 * * [simplify]: Extracting #9: cost 98 inf + 57770 233.249 * * [simplify]: Extracting #10: cost 47 inf + 84044 233.276 * * [simplify]: Extracting #11: cost 9 inf + 123514 233.311 * * [simplify]: Extracting #12: cost 0 inf + 136659 233.340 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 233.340 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 233.341 * * * * [progress]: [ 212 / 5906 ] simplifiying candidate # 233.341 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 233.341 * * [simplify]: iters left: 6 (52 enodes) 233.360 * * [simplify]: iters left: 5 (265 enodes) 233.449 * * [simplify]: Extracting #0: cost 1 inf + 0 233.450 * * [simplify]: Extracting #1: cost 3 inf + 0 233.450 * * [simplify]: Extracting #2: cost 6 inf + 0 233.450 * * [simplify]: Extracting #3: cost 62 inf + 0 233.450 * * [simplify]: Extracting #4: cost 151 inf + 0 233.451 * * [simplify]: Extracting #5: cost 221 inf + 127 233.454 * * [simplify]: Extracting #6: cost 288 inf + 4112 233.459 * * [simplify]: Extracting #7: cost 249 inf + 13323 233.468 * * [simplify]: Extracting #8: cost 180 inf + 25189 233.486 * * [simplify]: Extracting #9: cost 109 inf + 48053 233.513 * * [simplify]: Extracting #10: cost 49 inf + 80788 233.556 * * [simplify]: Extracting #11: cost 12 inf + 118831 233.607 * * [simplify]: Extracting #12: cost 1 inf + 133146 233.652 * * [simplify]: Extracting #13: cost 0 inf + 135331 233.692 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 233.692 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 233.693 * * * * [progress]: [ 213 / 5906 ] simplifiying candidate # 233.693 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 233.694 * * [simplify]: iters left: 6 (46 enodes) 233.718 * * [simplify]: iters left: 5 (229 enodes) 233.798 * * [simplify]: Extracting #0: cost 1 inf + 0 233.798 * * [simplify]: Extracting #1: cost 3 inf + 0 233.798 * * [simplify]: Extracting #2: cost 6 inf + 0 233.798 * * [simplify]: Extracting #3: cost 54 inf + 0 233.799 * * [simplify]: Extracting #4: cost 119 inf + 0 233.799 * * [simplify]: Extracting #5: cost 171 inf + 44 233.801 * * [simplify]: Extracting #6: cost 254 inf + 990 233.803 * * [simplify]: Extracting #7: cost 254 inf + 2211 233.810 * * [simplify]: Extracting #8: cost 163 inf + 20655 233.826 * * [simplify]: Extracting #9: cost 85 inf + 47574 233.859 * * [simplify]: Extracting #10: cost 16 inf + 96831 233.905 * * [simplify]: Extracting #11: cost 0 inf + 111710 233.951 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) 233.951 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 233.952 * * * * [progress]: [ 214 / 5906 ] simplifiying candidate # 233.953 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 233.953 * * [simplify]: iters left: 6 (51 enodes) 233.984 * * [simplify]: iters left: 5 (257 enodes) 234.072 * * [simplify]: Extracting #0: cost 1 inf + 0 234.072 * * [simplify]: Extracting #1: cost 3 inf + 0 234.072 * * [simplify]: Extracting #2: cost 10 inf + 0 234.072 * * [simplify]: Extracting #3: cost 74 inf + 0 234.073 * * [simplify]: Extracting #4: cost 136 inf + 42 234.074 * * [simplify]: Extracting #5: cost 192 inf + 249 234.076 * * [simplify]: Extracting #6: cost 278 inf + 1637 234.080 * * [simplify]: Extracting #7: cost 252 inf + 8682 234.089 * * [simplify]: Extracting #8: cost 177 inf + 22362 234.094 * * [simplify]: Extracting #9: cost 140 inf + 31046 234.103 * * [simplify]: Extracting #10: cost 98 inf + 51218 234.116 * * [simplify]: Extracting #11: cost 44 inf + 80621 234.156 * * [simplify]: Extracting #12: cost 5 inf + 119756 234.207 * * [simplify]: Extracting #13: cost 0 inf + 128201 234.260 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 234.260 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 234.261 * * * * [progress]: [ 215 / 5906 ] simplifiying candidate # 234.261 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 234.262 * * [simplify]: iters left: 6 (46 enodes) 234.287 * * [simplify]: iters left: 5 (229 enodes) 234.359 * * [simplify]: Extracting #0: cost 1 inf + 0 234.359 * * [simplify]: Extracting #1: cost 3 inf + 0 234.359 * * [simplify]: Extracting #2: cost 10 inf + 0 234.359 * * [simplify]: Extracting #3: cost 66 inf + 0 234.360 * * [simplify]: Extracting #4: cost 117 inf + 44 234.361 * * [simplify]: Extracting #5: cost 156 inf + 1066 234.368 * * [simplify]: Extracting #6: cost 240 inf + 2932 234.371 * * [simplify]: Extracting #7: cost 248 inf + 3139 234.378 * * [simplify]: Extracting #8: cost 154 inf + 23455 234.399 * * [simplify]: Extracting #9: cost 55 inf + 63427 234.434 * * [simplify]: Extracting #10: cost 10 inf + 96312 234.477 * * [simplify]: Extracting #11: cost 0 inf + 105920 234.512 * * [simplify]: Extracting #12: cost 0 inf + 105680 234.535 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 234.536 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 234.536 * * * * [progress]: [ 216 / 5906 ] simplifiying candidate # 234.536 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 234.537 * * [simplify]: iters left: 6 (51 enodes) 234.551 * * [simplify]: iters left: 5 (257 enodes) 234.622 * * [simplify]: Extracting #0: cost 1 inf + 0 234.622 * * [simplify]: Extracting #1: cost 3 inf + 0 234.622 * * [simplify]: Extracting #2: cost 10 inf + 0 234.622 * * [simplify]: Extracting #3: cost 74 inf + 0 234.625 * * [simplify]: Extracting #4: cost 136 inf + 42 234.625 * * [simplify]: Extracting #5: cost 193 inf + 207 234.627 * * [simplify]: Extracting #6: cost 273 inf + 3006 234.628 * * [simplify]: Extracting #7: cost 250 inf + 9748 234.632 * * [simplify]: Extracting #8: cost 178 inf + 21980 234.637 * * [simplify]: Extracting #9: cost 141 inf + 30442 234.645 * * [simplify]: Extracting #10: cost 96 inf + 52449 234.661 * * [simplify]: Extracting #11: cost 42 inf + 82311 234.704 * * [simplify]: Extracting #12: cost 5 inf + 120716 234.738 * * [simplify]: Extracting #13: cost 0 inf + 129161 234.776 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 234.777 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 234.778 * * * * [progress]: [ 217 / 5906 ] simplifiying candidate # 234.778 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 234.779 * * [simplify]: iters left: 6 (46 enodes) 234.803 * * [simplify]: iters left: 5 (229 enodes) 234.878 * * [simplify]: Extracting #0: cost 1 inf + 0 234.878 * * [simplify]: Extracting #1: cost 3 inf + 0 234.878 * * [simplify]: Extracting #2: cost 10 inf + 0 234.879 * * [simplify]: Extracting #3: cost 65 inf + 0 234.879 * * [simplify]: Extracting #4: cost 117 inf + 44 234.880 * * [simplify]: Extracting #5: cost 157 inf + 864 234.882 * * [simplify]: Extracting #6: cost 240 inf + 2932 234.884 * * [simplify]: Extracting #7: cost 248 inf + 3139 234.891 * * [simplify]: Extracting #8: cost 159 inf + 23117 234.911 * * [simplify]: Extracting #9: cost 58 inf + 61310 234.944 * * [simplify]: Extracting #10: cost 15 inf + 91705 234.987 * * [simplify]: Extracting #11: cost 0 inf + 106320 235.029 * * [simplify]: Extracting #12: cost 0 inf + 106080 235.058 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 235.058 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 235.059 * * * * [progress]: [ 218 / 5906 ] simplifiying candidate # 235.059 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 235.059 * * [simplify]: iters left: 6 (51 enodes) 235.074 * * [simplify]: iters left: 5 (256 enodes) 235.161 * * [simplify]: Extracting #0: cost 1 inf + 0 235.161 * * [simplify]: Extracting #1: cost 3 inf + 0 235.161 * * [simplify]: Extracting #2: cost 6 inf + 0 235.161 * * [simplify]: Extracting #3: cost 56 inf + 0 235.162 * * [simplify]: Extracting #4: cost 130 inf + 0 235.163 * * [simplify]: Extracting #5: cost 214 inf + 0 235.165 * * [simplify]: Extracting #6: cost 304 inf + 551 235.168 * * [simplify]: Extracting #7: cost 261 inf + 10500 235.176 * * [simplify]: Extracting #8: cost 168 inf + 28097 235.191 * * [simplify]: Extracting #9: cost 109 inf + 47801 235.209 * * [simplify]: Extracting #10: cost 49 inf + 77565 235.231 * * [simplify]: Extracting #11: cost 12 inf + 116290 235.281 * * [simplify]: Extracting #12: cost 1 inf + 131645 235.337 * * [simplify]: Extracting #13: cost 0 inf + 133750 235.389 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 235.389 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 235.391 * * * * [progress]: [ 219 / 5906 ] simplifiying candidate # 235.391 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 235.392 * * [simplify]: iters left: 6 (52 enodes) 235.420 * * [simplify]: iters left: 5 (265 enodes) 235.544 * * [simplify]: Extracting #0: cost 1 inf + 0 235.544 * * [simplify]: Extracting #1: cost 3 inf + 0 235.544 * * [simplify]: Extracting #2: cost 6 inf + 0 235.544 * * [simplify]: Extracting #3: cost 60 inf + 0 235.545 * * [simplify]: Extracting #4: cost 153 inf + 0 235.546 * * [simplify]: Extracting #5: cost 226 inf + 127 235.548 * * [simplify]: Extracting #6: cost 278 inf + 5167 235.553 * * [simplify]: Extracting #7: cost 256 inf + 10460 235.564 * * [simplify]: Extracting #8: cost 163 inf + 34333 235.587 * * [simplify]: Extracting #9: cost 66 inf + 75087 235.631 * * [simplify]: Extracting #10: cost 18 inf + 119918 235.673 * * [simplify]: Extracting #11: cost 0 inf + 136069 235.715 * * [simplify]: Extracting #12: cost 0 inf + 135647 235.758 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 235.758 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 235.759 * * * * [progress]: [ 220 / 5906 ] simplifiying candidate # 235.759 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 235.760 * * [simplify]: iters left: 6 (52 enodes) 235.776 * * [simplify]: iters left: 5 (265 enodes) 235.857 * * [simplify]: Extracting #0: cost 1 inf + 0 235.858 * * [simplify]: Extracting #1: cost 3 inf + 0 235.858 * * [simplify]: Extracting #2: cost 6 inf + 0 235.858 * * [simplify]: Extracting #3: cost 62 inf + 0 235.858 * * [simplify]: Extracting #4: cost 151 inf + 0 235.859 * * [simplify]: Extracting #5: cost 223 inf + 85 235.860 * * [simplify]: Extracting #6: cost 284 inf + 3266 235.862 * * [simplify]: Extracting #7: cost 243 inf + 13422 235.870 * * [simplify]: Extracting #8: cost 171 inf + 27179 235.884 * * [simplify]: Extracting #9: cost 105 inf + 51650 235.905 * * [simplify]: Extracting #10: cost 39 inf + 89066 235.939 * * [simplify]: Extracting #11: cost 14 inf + 116369 235.977 * * [simplify]: Extracting #12: cost 0 inf + 134799 236.022 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 236.022 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 236.023 * * * * [progress]: [ 221 / 5906 ] simplifiying candidate # 236.024 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 236.024 * * [simplify]: iters left: 6 (46 enodes) 236.047 * * [simplify]: iters left: 5 (229 enodes) 236.117 * * [simplify]: Extracting #0: cost 1 inf + 0 236.117 * * [simplify]: Extracting #1: cost 3 inf + 0 236.117 * * [simplify]: Extracting #2: cost 6 inf + 0 236.118 * * [simplify]: Extracting #3: cost 54 inf + 0 236.118 * * [simplify]: Extracting #4: cost 119 inf + 0 236.119 * * [simplify]: Extracting #5: cost 170 inf + 208 236.120 * * [simplify]: Extracting #6: cost 248 inf + 990 236.123 * * [simplify]: Extracting #7: cost 249 inf + 2128 236.135 * * [simplify]: Extracting #8: cost 162 inf + 20212 236.151 * * [simplify]: Extracting #9: cost 85 inf + 45255 236.176 * * [simplify]: Extracting #10: cost 23 inf + 90496 236.199 * * [simplify]: Extracting #11: cost 1 inf + 108353 236.243 * * [simplify]: Extracting #12: cost 0 inf + 110058 236.272 * * [simplify]: Extracting #13: cost 0 inf + 110018 236.306 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 236.306 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 236.307 * * * * [progress]: [ 222 / 5906 ] simplifiying candidate # 236.308 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 236.308 * * [simplify]: iters left: 6 (51 enodes) 236.334 * * [simplify]: iters left: 5 (257 enodes) 236.421 * * [simplify]: Extracting #0: cost 1 inf + 0 236.421 * * [simplify]: Extracting #1: cost 3 inf + 0 236.421 * * [simplify]: Extracting #2: cost 10 inf + 0 236.421 * * [simplify]: Extracting #3: cost 74 inf + 0 236.422 * * [simplify]: Extracting #4: cost 136 inf + 42 236.423 * * [simplify]: Extracting #5: cost 193 inf + 249 236.425 * * [simplify]: Extracting #6: cost 271 inf + 1760 236.428 * * [simplify]: Extracting #7: cost 247 inf + 7869 236.435 * * [simplify]: Extracting #8: cost 171 inf + 21974 236.448 * * [simplify]: Extracting #9: cost 111 inf + 42053 236.463 * * [simplify]: Extracting #10: cost 50 inf + 75599 236.492 * * [simplify]: Extracting #11: cost 4 inf + 119129 236.542 * * [simplify]: Extracting #12: cost 0 inf + 126349 236.576 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 236.576 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 236.577 * * * * [progress]: [ 223 / 5906 ] simplifiying candidate # 236.577 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 236.578 * * [simplify]: iters left: 6 (46 enodes) 236.602 * * [simplify]: iters left: 5 (229 enodes) 236.674 * * [simplify]: Extracting #0: cost 1 inf + 0 236.674 * * [simplify]: Extracting #1: cost 3 inf + 0 236.674 * * [simplify]: Extracting #2: cost 10 inf + 0 236.674 * * [simplify]: Extracting #3: cost 66 inf + 0 236.675 * * [simplify]: Extracting #4: cost 117 inf + 44 236.675 * * [simplify]: Extracting #5: cost 162 inf + 496 236.676 * * [simplify]: Extracting #6: cost 235 inf + 2770 236.677 * * [simplify]: Extracting #7: cost 239 inf + 3422 236.680 * * [simplify]: Extracting #8: cost 175 inf + 16841 236.687 * * [simplify]: Extracting #9: cost 94 inf + 45994 236.708 * * [simplify]: Extracting #10: cost 33 inf + 75958 236.728 * * [simplify]: Extracting #11: cost 5 inf + 99503 236.758 * * [simplify]: Extracting #12: cost 0 inf + 105308 236.787 * * [simplify]: Extracting #13: cost 0 inf + 105148 236.815 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1))))) 236.815 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 236.816 * * * * [progress]: [ 224 / 5906 ] simplifiying candidate # 236.816 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 236.816 * * [simplify]: iters left: 6 (51 enodes) 236.836 * * [simplify]: iters left: 5 (257 enodes) 236.920 * * [simplify]: Extracting #0: cost 1 inf + 0 236.920 * * [simplify]: Extracting #1: cost 3 inf + 0 236.920 * * [simplify]: Extracting #2: cost 10 inf + 0 236.921 * * [simplify]: Extracting #3: cost 74 inf + 0 236.921 * * [simplify]: Extracting #4: cost 136 inf + 42 236.922 * * [simplify]: Extracting #5: cost 193 inf + 248 236.924 * * [simplify]: Extracting #6: cost 268 inf + 2444 236.928 * * [simplify]: Extracting #7: cost 243 inf + 8897 236.934 * * [simplify]: Extracting #8: cost 172 inf + 21591 236.948 * * [simplify]: Extracting #9: cost 112 inf + 41708 236.963 * * [simplify]: Extracting #10: cost 47 inf + 78592 236.987 * * [simplify]: Extracting #11: cost 4 inf + 120089 237.036 * * [simplify]: Extracting #12: cost 0 inf + 127309 237.073 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 237.073 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 237.074 * * * * [progress]: [ 225 / 5906 ] simplifiying candidate # 237.074 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 237.075 * * [simplify]: iters left: 6 (46 enodes) 237.098 * * [simplify]: iters left: 5 (229 enodes) 237.159 * * [simplify]: Extracting #0: cost 1 inf + 0 237.159 * * [simplify]: Extracting #1: cost 3 inf + 0 237.159 * * [simplify]: Extracting #2: cost 10 inf + 0 237.159 * * [simplify]: Extracting #3: cost 65 inf + 0 237.160 * * [simplify]: Extracting #4: cost 117 inf + 44 237.160 * * [simplify]: Extracting #5: cost 158 inf + 904 237.162 * * [simplify]: Extracting #6: cost 234 inf + 2932 237.165 * * [simplify]: Extracting #7: cost 241 inf + 3300 237.170 * * [simplify]: Extracting #8: cost 174 inf + 16641 237.184 * * [simplify]: Extracting #9: cost 97 inf + 44984 237.203 * * [simplify]: Extracting #10: cost 34 inf + 75853 237.223 * * [simplify]: Extracting #11: cost 5 inf + 99903 237.266 * * [simplify]: Extracting #12: cost 0 inf + 105708 237.311 * * [simplify]: Extracting #13: cost 0 inf + 105548 237.354 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1))))) 237.354 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 237.355 * * * * [progress]: [ 226 / 5906 ] simplifiying candidate # 237.356 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 237.357 * * [simplify]: iters left: 6 (47 enodes) 237.374 * * [simplify]: iters left: 5 (233 enodes) 237.438 * * [simplify]: Extracting #0: cost 1 inf + 0 237.439 * * [simplify]: Extracting #1: cost 3 inf + 0 237.439 * * [simplify]: Extracting #2: cost 6 inf + 0 237.439 * * [simplify]: Extracting #3: cost 54 inf + 0 237.439 * * [simplify]: Extracting #4: cost 120 inf + 0 237.440 * * [simplify]: Extracting #5: cost 189 inf + 0 237.441 * * [simplify]: Extracting #6: cost 265 inf + 805 237.445 * * [simplify]: Extracting #7: cost 218 inf + 13894 237.452 * * [simplify]: Extracting #8: cost 158 inf + 22738 237.461 * * [simplify]: Extracting #9: cost 90 inf + 45626 237.472 * * [simplify]: Extracting #10: cost 54 inf + 59204 237.486 * * [simplify]: Extracting #11: cost 31 inf + 73979 237.521 * * [simplify]: Extracting #12: cost 7 inf + 98619 237.545 * * [simplify]: Extracting #13: cost 0 inf + 107594 237.584 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 237.584 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 237.585 * * * * [progress]: [ 227 / 5906 ] simplifiying candidate # 237.585 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 237.586 * * [simplify]: iters left: 6 (48 enodes) 237.599 * * [simplify]: iters left: 5 (242 enodes) 237.685 * * [simplify]: Extracting #0: cost 1 inf + 0 237.685 * * [simplify]: Extracting #1: cost 3 inf + 0 237.685 * * [simplify]: Extracting #2: cost 6 inf + 0 237.685 * * [simplify]: Extracting #3: cost 58 inf + 0 237.685 * * [simplify]: Extracting #4: cost 143 inf + 0 237.686 * * [simplify]: Extracting #5: cost 198 inf + 371 237.687 * * [simplify]: Extracting #6: cost 237 inf + 5572 237.690 * * [simplify]: Extracting #7: cost 215 inf + 13555 237.694 * * [simplify]: Extracting #8: cost 160 inf + 24574 237.706 * * [simplify]: Extracting #9: cost 83 inf + 45053 237.725 * * [simplify]: Extracting #10: cost 62 inf + 55366 237.747 * * [simplify]: Extracting #11: cost 12 inf + 94001 237.773 * * [simplify]: Extracting #12: cost 2 inf + 103121 237.817 * * [simplify]: Extracting #13: cost 0 inf + 106651 237.858 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 237.858 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 237.859 * * * * [progress]: [ 228 / 5906 ] simplifiying candidate # 237.860 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 237.861 * * [simplify]: iters left: 6 (48 enodes) 237.887 * * [simplify]: iters left: 5 (242 enodes) 237.968 * * [simplify]: Extracting #0: cost 1 inf + 0 237.968 * * [simplify]: Extracting #1: cost 3 inf + 0 237.968 * * [simplify]: Extracting #2: cost 6 inf + 0 237.968 * * [simplify]: Extracting #3: cost 60 inf + 0 237.969 * * [simplify]: Extracting #4: cost 141 inf + 0 237.970 * * [simplify]: Extracting #5: cost 195 inf + 290 237.971 * * [simplify]: Extracting #6: cost 230 inf + 6980 237.974 * * [simplify]: Extracting #7: cost 219 inf + 11727 237.977 * * [simplify]: Extracting #8: cost 174 inf + 20029 237.983 * * [simplify]: Extracting #9: cost 116 inf + 33733 237.996 * * [simplify]: Extracting #10: cost 60 inf + 55540 238.008 * * [simplify]: Extracting #11: cost 36 inf + 70204 238.030 * * [simplify]: Extracting #12: cost 2 inf + 100793 238.065 * * [simplify]: Extracting #13: cost 0 inf + 104323 238.090 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 238.090 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 238.091 * * * * [progress]: [ 229 / 5906 ] simplifiying candidate # 238.091 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 238.092 * * [simplify]: iters left: 6 (42 enodes) 238.114 * * [simplify]: iters left: 5 (206 enodes) 238.207 * * [simplify]: Extracting #0: cost 1 inf + 0 238.207 * * [simplify]: Extracting #1: cost 3 inf + 0 238.207 * * [simplify]: Extracting #2: cost 6 inf + 0 238.207 * * [simplify]: Extracting #3: cost 52 inf + 0 238.208 * * [simplify]: Extracting #4: cost 109 inf + 0 238.208 * * [simplify]: Extracting #5: cost 147 inf + 44 238.210 * * [simplify]: Extracting #6: cost 211 inf + 1152 238.212 * * [simplify]: Extracting #7: cost 203 inf + 3429 238.221 * * [simplify]: Extracting #8: cost 115 inf + 26474 238.248 * * [simplify]: Extracting #9: cost 28 inf + 70801 238.269 * * [simplify]: Extracting #10: cost 0 inf + 84982 238.288 * * [simplify]: Extracting #11: cost 0 inf + 84022 238.317 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 238.317 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 238.318 * * * * [progress]: [ 230 / 5906 ] simplifiying candidate # 238.319 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 238.319 * * [simplify]: iters left: 6 (47 enodes) 238.348 * * [simplify]: iters left: 5 (234 enodes) 238.426 * * [simplify]: Extracting #0: cost 1 inf + 0 238.426 * * [simplify]: Extracting #1: cost 3 inf + 0 238.426 * * [simplify]: Extracting #2: cost 10 inf + 0 238.426 * * [simplify]: Extracting #3: cost 72 inf + 0 238.426 * * [simplify]: Extracting #4: cost 126 inf + 42 238.427 * * [simplify]: Extracting #5: cost 167 inf + 290 238.429 * * [simplify]: Extracting #6: cost 230 inf + 2565 238.433 * * [simplify]: Extracting #7: cost 215 inf + 8169 238.441 * * [simplify]: Extracting #8: cost 116 inf + 34340 238.452 * * [simplify]: Extracting #9: cost 39 inf + 64868 238.481 * * [simplify]: Extracting #10: cost 3 inf + 95838 238.520 * * [simplify]: Extracting #11: cost 0 inf + 98993 238.558 * * [simplify]: Extracting #12: cost 0 inf + 98873 238.591 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 238.591 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 238.592 * * * * [progress]: [ 231 / 5906 ] simplifiying candidate # 238.593 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 238.593 * * [simplify]: iters left: 6 (42 enodes) 238.605 * * [simplify]: iters left: 5 (206 enodes) 238.663 * * [simplify]: Extracting #0: cost 1 inf + 0 238.663 * * [simplify]: Extracting #1: cost 3 inf + 0 238.663 * * [simplify]: Extracting #2: cost 10 inf + 0 238.663 * * [simplify]: Extracting #3: cost 64 inf + 0 238.663 * * [simplify]: Extracting #4: cost 106 inf + 86 238.664 * * [simplify]: Extracting #5: cost 131 inf + 1229 238.666 * * [simplify]: Extracting #6: cost 198 inf + 2770 238.668 * * [simplify]: Extracting #7: cost 204 inf + 3141 238.673 * * [simplify]: Extracting #8: cost 147 inf + 15752 238.691 * * [simplify]: Extracting #9: cost 60 inf + 48670 238.719 * * [simplify]: Extracting #10: cost 10 inf + 77086 238.743 * * [simplify]: Extracting #11: cost 0 inf + 83072 238.760 * * [simplify]: Extracting #12: cost 0 inf + 83032 238.777 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1))))) 238.777 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 238.778 * * * * [progress]: [ 232 / 5906 ] simplifiying candidate # 238.778 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 238.779 * * [simplify]: iters left: 6 (47 enodes) 238.792 * * [simplify]: iters left: 5 (234 enodes) 238.862 * * [simplify]: Extracting #0: cost 1 inf + 0 238.862 * * [simplify]: Extracting #1: cost 3 inf + 0 238.862 * * [simplify]: Extracting #2: cost 10 inf + 0 238.863 * * [simplify]: Extracting #3: cost 72 inf + 0 238.863 * * [simplify]: Extracting #4: cost 126 inf + 42 238.864 * * [simplify]: Extracting #5: cost 166 inf + 332 238.867 * * [simplify]: Extracting #6: cost 226 inf + 3414 238.870 * * [simplify]: Extracting #7: cost 215 inf + 8169 238.876 * * [simplify]: Extracting #8: cost 113 inf + 36673 238.893 * * [simplify]: Extracting #9: cost 18 inf + 86313 238.915 * * [simplify]: Extracting #10: cost 0 inf + 100513 238.954 * * [simplify]: Extracting #11: cost 0 inf + 99833 238.990 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 238.991 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 238.991 * * * * [progress]: [ 233 / 5906 ] simplifiying candidate # 238.991 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 238.992 * * [simplify]: iters left: 6 (42 enodes) 239.004 * * [simplify]: iters left: 5 (206 enodes) 239.083 * * [simplify]: Extracting #0: cost 1 inf + 0 239.083 * * [simplify]: Extracting #1: cost 3 inf + 0 239.083 * * [simplify]: Extracting #2: cost 10 inf + 0 239.083 * * [simplify]: Extracting #3: cost 63 inf + 0 239.084 * * [simplify]: Extracting #4: cost 107 inf + 44 239.085 * * [simplify]: Extracting #5: cost 135 inf + 781 239.086 * * [simplify]: Extracting #6: cost 198 inf + 2770 239.089 * * [simplify]: Extracting #7: cost 204 inf + 3141 239.094 * * [simplify]: Extracting #8: cost 148 inf + 15711 239.115 * * [simplify]: Extracting #9: cost 60 inf + 48830 239.144 * * [simplify]: Extracting #10: cost 10 inf + 77606 239.172 * * [simplify]: Extracting #11: cost 0 inf + 83632 239.190 * * [simplify]: Extracting #12: cost 0 inf + 83592 239.217 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1))))) 239.217 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 239.218 * * * * [progress]: [ 234 / 5906 ] simplifiying candidate # 239.219 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 239.219 * * [simplify]: iters left: 6 (52 enodes) 239.247 * * [simplify]: iters left: 5 (254 enodes) 239.341 * * [simplify]: Extracting #0: cost 1 inf + 0 239.341 * * [simplify]: Extracting #1: cost 3 inf + 0 239.341 * * [simplify]: Extracting #2: cost 6 inf + 0 239.341 * * [simplify]: Extracting #3: cost 56 inf + 0 239.341 * * [simplify]: Extracting #4: cost 130 inf + 0 239.342 * * [simplify]: Extracting #5: cost 208 inf + 0 239.342 * * [simplify]: Extracting #6: cost 299 inf + 721 239.344 * * [simplify]: Extracting #7: cost 244 inf + 12178 239.349 * * [simplify]: Extracting #8: cost 144 inf + 35180 239.360 * * [simplify]: Extracting #9: cost 64 inf + 62931 239.380 * * [simplify]: Extracting #10: cost 39 inf + 80913 239.422 * * [simplify]: Extracting #11: cost 10 inf + 113855 239.470 * * [simplify]: Extracting #12: cost 0 inf + 126625 239.515 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 239.516 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 239.516 * * * * [progress]: [ 235 / 5906 ] simplifiying candidate # 239.516 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 239.517 * * [simplify]: iters left: 6 (53 enodes) 239.532 * * [simplify]: iters left: 5 (263 enodes) 239.637 * * [simplify]: Extracting #0: cost 1 inf + 0 239.637 * * [simplify]: Extracting #1: cost 3 inf + 0 239.637 * * [simplify]: Extracting #2: cost 6 inf + 0 239.637 * * [simplify]: Extracting #3: cost 60 inf + 0 239.638 * * [simplify]: Extracting #4: cost 153 inf + 0 239.639 * * [simplify]: Extracting #5: cost 222 inf + 44 239.642 * * [simplify]: Extracting #6: cost 275 inf + 4801 239.647 * * [simplify]: Extracting #7: cost 241 inf + 12454 239.657 * * [simplify]: Extracting #8: cost 157 inf + 32085 239.681 * * [simplify]: Extracting #9: cost 67 inf + 64414 239.721 * * [simplify]: Extracting #10: cost 11 inf + 116628 239.768 * * [simplify]: Extracting #11: cost 0 inf + 131042 239.818 * * [simplify]: Extracting #12: cost 0 inf + 130762 239.871 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 239.871 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 239.872 * * * * [progress]: [ 236 / 5906 ] simplifiying candidate # 239.873 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 239.873 * * [simplify]: iters left: 6 (53 enodes) 239.901 * * [simplify]: iters left: 5 (263 enodes) 240.003 * * [simplify]: Extracting #0: cost 1 inf + 0 240.003 * * [simplify]: Extracting #1: cost 3 inf + 0 240.003 * * [simplify]: Extracting #2: cost 6 inf + 0 240.003 * * [simplify]: Extracting #3: cost 62 inf + 0 240.003 * * [simplify]: Extracting #4: cost 151 inf + 0 240.004 * * [simplify]: Extracting #5: cost 218 inf + 44 240.005 * * [simplify]: Extracting #6: cost 275 inf + 4312 240.007 * * [simplify]: Extracting #7: cost 244 inf + 11721 240.012 * * [simplify]: Extracting #8: cost 169 inf + 28600 240.022 * * [simplify]: Extracting #9: cost 66 inf + 65267 240.038 * * [simplify]: Extracting #10: cost 36 inf + 85734 240.078 * * [simplify]: Extracting #11: cost 9 inf + 118449 240.129 * * [simplify]: Extracting #12: cost 0 inf + 130154 240.181 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 240.181 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 240.182 * * * * [progress]: [ 237 / 5906 ] simplifiying candidate # 240.182 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 240.182 * * [simplify]: iters left: 6 (47 enodes) 240.196 * * [simplify]: iters left: 5 (227 enodes) 240.285 * * [simplify]: Extracting #0: cost 1 inf + 0 240.285 * * [simplify]: Extracting #1: cost 3 inf + 0 240.286 * * [simplify]: Extracting #2: cost 6 inf + 0 240.286 * * [simplify]: Extracting #3: cost 54 inf + 0 240.286 * * [simplify]: Extracting #4: cost 119 inf + 0 240.287 * * [simplify]: Extracting #5: cost 166 inf + 44 240.289 * * [simplify]: Extracting #6: cost 238 inf + 1518 240.291 * * [simplify]: Extracting #7: cost 231 inf + 3466 240.300 * * [simplify]: Extracting #8: cost 146 inf + 23182 240.318 * * [simplify]: Extracting #9: cost 57 inf + 55451 240.343 * * [simplify]: Extracting #10: cost 28 inf + 75219 240.368 * * [simplify]: Extracting #11: cost 5 inf + 98168 240.389 * * [simplify]: Extracting #12: cost 1 inf + 103948 240.427 * * [simplify]: Extracting #13: cost 0 inf + 105773 240.459 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 240.459 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 240.460 * * * * [progress]: [ 238 / 5906 ] simplifiying candidate # 240.460 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 240.460 * * [simplify]: iters left: 6 (52 enodes) 240.475 * * [simplify]: iters left: 5 (255 enodes) 240.559 * * [simplify]: Extracting #0: cost 1 inf + 0 240.559 * * [simplify]: Extracting #1: cost 3 inf + 0 240.559 * * [simplify]: Extracting #2: cost 10 inf + 0 240.559 * * [simplify]: Extracting #3: cost 74 inf + 0 240.560 * * [simplify]: Extracting #4: cost 137 inf + 1 240.560 * * [simplify]: Extracting #5: cost 187 inf + 248 240.561 * * [simplify]: Extracting #6: cost 267 inf + 1717 240.563 * * [simplify]: Extracting #7: cost 242 inf + 7381 240.567 * * [simplify]: Extracting #8: cost 166 inf + 25406 240.577 * * [simplify]: Extracting #9: cost 97 inf + 49944 240.592 * * [simplify]: Extracting #10: cost 48 inf + 71464 240.612 * * [simplify]: Extracting #11: cost 7 inf + 111489 240.661 * * [simplify]: Extracting #12: cost 0 inf + 121264 240.709 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) 240.709 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 240.710 * * * * [progress]: [ 239 / 5906 ] simplifiying candidate # 240.710 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 240.710 * * [simplify]: iters left: 6 (47 enodes) 240.724 * * [simplify]: iters left: 5 (227 enodes) 240.807 * * [simplify]: Extracting #0: cost 1 inf + 0 240.807 * * [simplify]: Extracting #1: cost 3 inf + 0 240.807 * * [simplify]: Extracting #2: cost 10 inf + 0 240.807 * * [simplify]: Extracting #3: cost 66 inf + 0 240.808 * * [simplify]: Extracting #4: cost 117 inf + 44 240.808 * * [simplify]: Extracting #5: cost 151 inf + 1106 240.809 * * [simplify]: Extracting #6: cost 228 inf + 2932 240.811 * * [simplify]: Extracting #7: cost 230 inf + 3343 240.812 * * [simplify]: Extracting #8: cost 191 inf + 9783 240.817 * * [simplify]: Extracting #9: cost 116 inf + 32611 240.836 * * [simplify]: Extracting #10: cost 22 inf + 81504 240.872 * * [simplify]: Extracting #11: cost 3 inf + 97108 240.909 * * [simplify]: Extracting #12: cost 1 inf + 99758 240.948 * * [simplify]: Extracting #13: cost 0 inf + 101543 240.978 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 240.978 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 240.979 * * * * [progress]: [ 240 / 5906 ] simplifiying candidate # 240.979 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 240.979 * * [simplify]: iters left: 6 (52 enodes) 240.996 * * [simplify]: iters left: 5 (255 enodes) 241.084 * * [simplify]: Extracting #0: cost 1 inf + 0 241.084 * * [simplify]: Extracting #1: cost 3 inf + 0 241.084 * * [simplify]: Extracting #2: cost 10 inf + 0 241.084 * * [simplify]: Extracting #3: cost 74 inf + 0 241.085 * * [simplify]: Extracting #4: cost 137 inf + 1 241.085 * * [simplify]: Extracting #5: cost 187 inf + 248 241.086 * * [simplify]: Extracting #6: cost 269 inf + 1272 241.088 * * [simplify]: Extracting #7: cost 251 inf + 5403 241.091 * * [simplify]: Extracting #8: cost 171 inf + 25006 241.100 * * [simplify]: Extracting #9: cost 94 inf + 51618 241.112 * * [simplify]: Extracting #10: cost 48 inf + 72424 241.149 * * [simplify]: Extracting #11: cost 8 inf + 111344 241.196 * * [simplify]: Extracting #12: cost 0 inf + 122224 241.226 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) 241.226 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 241.226 * * * * [progress]: [ 241 / 5906 ] simplifiying candidate # 241.227 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 241.227 * * [simplify]: iters left: 6 (47 enodes) 241.241 * * [simplify]: iters left: 5 (227 enodes) 241.306 * * [simplify]: Extracting #0: cost 1 inf + 0 241.306 * * [simplify]: Extracting #1: cost 3 inf + 0 241.306 * * [simplify]: Extracting #2: cost 10 inf + 0 241.306 * * [simplify]: Extracting #3: cost 65 inf + 0 241.306 * * [simplify]: Extracting #4: cost 117 inf + 44 241.307 * * [simplify]: Extracting #5: cost 156 inf + 496 241.308 * * [simplify]: Extracting #6: cost 229 inf + 2770 241.314 * * [simplify]: Extracting #7: cost 231 inf + 3302 241.319 * * [simplify]: Extracting #8: cost 178 inf + 13526 241.331 * * [simplify]: Extracting #9: cost 86 inf + 42994 241.351 * * [simplify]: Extracting #10: cost 34 inf + 71642 241.369 * * [simplify]: Extracting #11: cost 4 inf + 96643 241.408 * * [simplify]: Extracting #12: cost 1 inf + 100878 241.446 * * [simplify]: Extracting #13: cost 0 inf + 102663 241.484 * * [simplify]: Extracting #14: cost 0 inf + 102623 241.506 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) 241.506 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 241.507 * * * * [progress]: [ 242 / 5906 ] simplifiying candidate # 241.507 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 241.507 * * [simplify]: iters left: 6 (52 enodes) 241.522 * * [simplify]: iters left: 5 (254 enodes) 241.609 * * [simplify]: Extracting #0: cost 1 inf + 0 241.609 * * [simplify]: Extracting #1: cost 3 inf + 0 241.609 * * [simplify]: Extracting #2: cost 6 inf + 0 241.609 * * [simplify]: Extracting #3: cost 56 inf + 0 241.610 * * [simplify]: Extracting #4: cost 130 inf + 0 241.610 * * [simplify]: Extracting #5: cost 207 inf + 0 241.611 * * [simplify]: Extracting #6: cost 285 inf + 1550 241.613 * * [simplify]: Extracting #7: cost 225 inf + 13558 241.619 * * [simplify]: Extracting #8: cost 138 inf + 38436 241.628 * * [simplify]: Extracting #9: cost 97 inf + 52406 241.640 * * [simplify]: Extracting #10: cost 50 inf + 70853 241.660 * * [simplify]: Extracting #11: cost 18 inf + 103853 241.700 * * [simplify]: Extracting #12: cost 0 inf + 125223 241.726 * * [simplify]: Extracting #13: cost 0 inf + 124263 241.752 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 241.752 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 241.753 * * * * [progress]: [ 243 / 5906 ] simplifiying candidate # 241.753 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 241.754 * * [simplify]: iters left: 6 (53 enodes) 241.782 * * [simplify]: iters left: 5 (263 enodes) 241.892 * * [simplify]: Extracting #0: cost 1 inf + 0 241.892 * * [simplify]: Extracting #1: cost 3 inf + 0 241.893 * * [simplify]: Extracting #2: cost 6 inf + 0 241.893 * * [simplify]: Extracting #3: cost 60 inf + 0 241.893 * * [simplify]: Extracting #4: cost 153 inf + 0 241.893 * * [simplify]: Extracting #5: cost 219 inf + 166 241.895 * * [simplify]: Extracting #6: cost 261 inf + 5379 241.898 * * [simplify]: Extracting #7: cost 208 inf + 17148 241.905 * * [simplify]: Extracting #8: cost 123 inf + 47382 241.924 * * [simplify]: Extracting #9: cost 49 inf + 76257 241.957 * * [simplify]: Extracting #10: cost 9 inf + 117055 241.986 * * [simplify]: Extracting #11: cost 0 inf + 127400 242.014 * * [simplify]: Extracting #12: cost 0 inf + 126920 242.061 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 242.061 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 242.062 * * * * [progress]: [ 244 / 5906 ] simplifiying candidate # 242.062 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 242.063 * * [simplify]: iters left: 6 (53 enodes) 242.082 * * [simplify]: iters left: 5 (263 enodes) 242.163 * * [simplify]: Extracting #0: cost 1 inf + 0 242.163 * * [simplify]: Extracting #1: cost 3 inf + 0 242.163 * * [simplify]: Extracting #2: cost 6 inf + 0 242.163 * * [simplify]: Extracting #3: cost 62 inf + 0 242.164 * * [simplify]: Extracting #4: cost 151 inf + 0 242.164 * * [simplify]: Extracting #5: cost 217 inf + 44 242.166 * * [simplify]: Extracting #6: cost 260 inf + 5295 242.169 * * [simplify]: Extracting #7: cost 205 inf + 18917 242.181 * * [simplify]: Extracting #8: cost 124 inf + 45791 242.206 * * [simplify]: Extracting #9: cost 49 inf + 74087 242.244 * * [simplify]: Extracting #10: cost 15 inf + 107977 242.289 * * [simplify]: Extracting #11: cost 0 inf + 125312 242.334 * * [simplify]: Extracting #12: cost 0 inf + 124432 242.382 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 242.382 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 242.383 * * * * [progress]: [ 245 / 5906 ] simplifiying candidate # 242.384 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 242.384 * * [simplify]: iters left: 6 (47 enodes) 242.403 * * [simplify]: iters left: 5 (227 enodes) 242.468 * * [simplify]: Extracting #0: cost 1 inf + 0 242.468 * * [simplify]: Extracting #1: cost 3 inf + 0 242.468 * * [simplify]: Extracting #2: cost 6 inf + 0 242.468 * * [simplify]: Extracting #3: cost 54 inf + 0 242.468 * * [simplify]: Extracting #4: cost 119 inf + 0 242.469 * * [simplify]: Extracting #5: cost 164 inf + 126 242.471 * * [simplify]: Extracting #6: cost 233 inf + 1520 242.474 * * [simplify]: Extracting #7: cost 218 inf + 5218 242.488 * * [simplify]: Extracting #8: cost 123 inf + 33076 242.498 * * [simplify]: Extracting #9: cost 55 inf + 57115 242.510 * * [simplify]: Extracting #10: cost 28 inf + 70977 242.535 * * [simplify]: Extracting #11: cost 5 inf + 94006 242.573 * * [simplify]: Extracting #12: cost 1 inf + 99786 242.598 * * [simplify]: Extracting #13: cost 0 inf + 101611 242.636 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 242.636 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 242.637 * * * * [progress]: [ 246 / 5906 ] simplifiying candidate # 242.638 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 242.638 * * [simplify]: iters left: 6 (52 enodes) 242.660 * * [simplify]: iters left: 5 (255 enodes) 242.726 * * [simplify]: Extracting #0: cost 1 inf + 0 242.726 * * [simplify]: Extracting #1: cost 3 inf + 0 242.726 * * [simplify]: Extracting #2: cost 10 inf + 0 242.726 * * [simplify]: Extracting #3: cost 74 inf + 0 242.727 * * [simplify]: Extracting #4: cost 137 inf + 1 242.727 * * [simplify]: Extracting #5: cost 186 inf + 248 242.728 * * [simplify]: Extracting #6: cost 253 inf + 2576 242.732 * * [simplify]: Extracting #7: cost 198 inf + 18484 242.739 * * [simplify]: Extracting #8: cost 134 inf + 37232 242.748 * * [simplify]: Extracting #9: cost 97 inf + 51392 242.760 * * [simplify]: Extracting #10: cost 46 inf + 70752 242.786 * * [simplify]: Extracting #11: cost 6 inf + 110712 242.823 * * [simplify]: Extracting #12: cost 0 inf + 118302 242.857 * * [simplify]: Extracting #13: cost 0 inf + 118182 242.903 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 242.904 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 242.905 * * * * [progress]: [ 247 / 5906 ] simplifiying candidate # 242.905 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 242.906 * * [simplify]: iters left: 6 (47 enodes) 242.931 * * [simplify]: iters left: 5 (227 enodes) 243.019 * * [simplify]: Extracting #0: cost 1 inf + 0 243.019 * * [simplify]: Extracting #1: cost 3 inf + 0 243.019 * * [simplify]: Extracting #2: cost 10 inf + 0 243.019 * * [simplify]: Extracting #3: cost 66 inf + 0 243.020 * * [simplify]: Extracting #4: cost 117 inf + 44 243.020 * * [simplify]: Extracting #5: cost 151 inf + 1064 243.021 * * [simplify]: Extracting #6: cost 222 inf + 3016 243.023 * * [simplify]: Extracting #7: cost 213 inf + 5014 243.027 * * [simplify]: Extracting #8: cost 159 inf + 15375 243.037 * * [simplify]: Extracting #9: cost 104 inf + 35399 243.067 * * [simplify]: Extracting #10: cost 14 inf + 85825 243.104 * * [simplify]: Extracting #11: cost 1 inf + 95836 243.129 * * [simplify]: Extracting #12: cost 0 inf + 97301 243.161 * * [simplify]: Extracting #13: cost 0 inf + 97141 243.202 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) 243.202 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 243.203 * * * * [progress]: [ 248 / 5906 ] simplifiying candidate # 243.203 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 243.204 * * [simplify]: iters left: 6 (52 enodes) 243.231 * * [simplify]: iters left: 5 (255 enodes) 243.344 * * [simplify]: Extracting #0: cost 1 inf + 0 243.344 * * [simplify]: Extracting #1: cost 3 inf + 0 243.344 * * [simplify]: Extracting #2: cost 10 inf + 0 243.344 * * [simplify]: Extracting #3: cost 74 inf + 0 243.345 * * [simplify]: Extracting #4: cost 137 inf + 1 243.346 * * [simplify]: Extracting #5: cost 186 inf + 248 243.347 * * [simplify]: Extracting #6: cost 258 inf + 1605 243.352 * * [simplify]: Extracting #7: cost 211 inf + 13043 243.358 * * [simplify]: Extracting #8: cost 137 inf + 36895 243.367 * * [simplify]: Extracting #9: cost 95 inf + 52921 243.379 * * [simplify]: Extracting #10: cost 46 inf + 71712 243.412 * * [simplify]: Extracting #11: cost 7 inf + 110487 243.460 * * [simplify]: Extracting #12: cost 0 inf + 119302 243.486 * * [simplify]: Extracting #13: cost 0 inf + 119142 243.512 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 243.512 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 243.512 * * * * [progress]: [ 249 / 5906 ] simplifiying candidate # 243.513 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 243.513 * * [simplify]: iters left: 6 (47 enodes) 243.535 * * [simplify]: iters left: 5 (227 enodes) 243.620 * * [simplify]: Extracting #0: cost 1 inf + 0 243.620 * * [simplify]: Extracting #1: cost 3 inf + 0 243.620 * * [simplify]: Extracting #2: cost 10 inf + 0 243.621 * * [simplify]: Extracting #3: cost 65 inf + 0 243.621 * * [simplify]: Extracting #4: cost 117 inf + 44 243.621 * * [simplify]: Extracting #5: cost 155 inf + 496 243.622 * * [simplify]: Extracting #6: cost 223 inf + 2814 243.623 * * [simplify]: Extracting #7: cost 216 inf + 4811 243.626 * * [simplify]: Extracting #8: cost 162 inf + 14969 243.632 * * [simplify]: Extracting #9: cost 98 inf + 38402 243.643 * * [simplify]: Extracting #10: cost 40 inf + 61988 243.666 * * [simplify]: Extracting #11: cost 5 inf + 92176 243.694 * * [simplify]: Extracting #12: cost 1 inf + 96596 243.718 * * [simplify]: Extracting #13: cost 0 inf + 98421 243.756 * * [simplify]: Extracting #14: cost 0 inf + 98341 243.796 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 243.796 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 243.797 * * * * [progress]: [ 250 / 5906 ] simplifiying candidate # 243.797 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 243.798 * * [simplify]: iters left: 6 (52 enodes) 243.825 * * [simplify]: iters left: 5 (255 enodes) 243.914 * * [simplify]: Extracting #0: cost 1 inf + 0 243.914 * * [simplify]: Extracting #1: cost 3 inf + 0 243.914 * * [simplify]: Extracting #2: cost 6 inf + 0 243.915 * * [simplify]: Extracting #3: cost 56 inf + 0 243.915 * * [simplify]: Extracting #4: cost 130 inf + 0 243.916 * * [simplify]: Extracting #5: cost 207 inf + 0 243.918 * * [simplify]: Extracting #6: cost 295 inf + 2693 243.921 * * [simplify]: Extracting #7: cost 249 inf + 10355 243.930 * * [simplify]: Extracting #8: cost 176 inf + 23805 243.942 * * [simplify]: Extracting #9: cost 123 inf + 39417 243.966 * * [simplify]: Extracting #10: cost 48 inf + 75073 244.006 * * [simplify]: Extracting #11: cost 17 inf + 106640 244.051 * * [simplify]: Extracting #12: cost 0 inf + 128265 244.077 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 244.077 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 244.078 * * * * [progress]: [ 251 / 5906 ] simplifiying candidate # 244.078 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 244.078 * * [simplify]: iters left: 6 (53 enodes) 244.105 * * [simplify]: iters left: 5 (264 enodes) 244.202 * * [simplify]: Extracting #0: cost 1 inf + 0 244.202 * * [simplify]: Extracting #1: cost 3 inf + 0 244.202 * * [simplify]: Extracting #2: cost 6 inf + 0 244.202 * * [simplify]: Extracting #3: cost 60 inf + 0 244.203 * * [simplify]: Extracting #4: cost 153 inf + 0 244.203 * * [simplify]: Extracting #5: cost 221 inf + 44 244.205 * * [simplify]: Extracting #6: cost 276 inf + 4640 244.207 * * [simplify]: Extracting #7: cost 241 inf + 12143 244.213 * * [simplify]: Extracting #8: cost 158 inf + 32511 244.234 * * [simplify]: Extracting #9: cost 45 inf + 85703 244.286 * * [simplify]: Extracting #10: cost 4 inf + 126102 244.325 * * [simplify]: Extracting #11: cost 0 inf + 131722 244.357 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 244.357 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 244.358 * * * * [progress]: [ 252 / 5906 ] simplifiying candidate # 244.358 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 244.359 * * [simplify]: iters left: 6 (53 enodes) 244.377 * * [simplify]: iters left: 5 (264 enodes) 244.456 * * [simplify]: Extracting #0: cost 1 inf + 0 244.456 * * [simplify]: Extracting #1: cost 3 inf + 0 244.456 * * [simplify]: Extracting #2: cost 6 inf + 0 244.456 * * [simplify]: Extracting #3: cost 62 inf + 0 244.456 * * [simplify]: Extracting #4: cost 151 inf + 0 244.457 * * [simplify]: Extracting #5: cost 217 inf + 44 244.458 * * [simplify]: Extracting #6: cost 274 inf + 4635 244.461 * * [simplify]: Extracting #7: cost 238 inf + 12242 244.471 * * [simplify]: Extracting #8: cost 157 inf + 32220 244.490 * * [simplify]: Extracting #9: cost 62 inf + 68651 244.514 * * [simplify]: Extracting #10: cost 13 inf + 114789 244.557 * * [simplify]: Extracting #11: cost 0 inf + 129394 244.594 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 244.594 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 244.595 * * * * [progress]: [ 253 / 5906 ] simplifiying candidate # 244.595 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 244.596 * * [simplify]: iters left: 6 (47 enodes) 244.616 * * [simplify]: iters left: 5 (228 enodes) 244.716 * * [simplify]: Extracting #0: cost 1 inf + 0 244.716 * * [simplify]: Extracting #1: cost 3 inf + 0 244.717 * * [simplify]: Extracting #2: cost 6 inf + 0 244.717 * * [simplify]: Extracting #3: cost 54 inf + 0 244.717 * * [simplify]: Extracting #4: cost 119 inf + 0 244.718 * * [simplify]: Extracting #5: cost 165 inf + 44 244.720 * * [simplify]: Extracting #6: cost 240 inf + 1435 244.722 * * [simplify]: Extracting #7: cost 231 inf + 3588 244.731 * * [simplify]: Extracting #8: cost 128 inf + 32687 244.752 * * [simplify]: Extracting #9: cost 49 inf + 63211 244.787 * * [simplify]: Extracting #10: cost 4 inf + 101166 244.832 * * [simplify]: Extracting #11: cost 1 inf + 105068 244.875 * * [simplify]: Extracting #12: cost 0 inf + 106933 244.915 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 244.915 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 244.915 * * * * [progress]: [ 254 / 5906 ] simplifiying candidate # 244.916 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 244.916 * * [simplify]: iters left: 6 (52 enodes) 244.931 * * [simplify]: iters left: 5 (256 enodes) 245.027 * * [simplify]: Extracting #0: cost 1 inf + 0 245.028 * * [simplify]: Extracting #1: cost 3 inf + 0 245.028 * * [simplify]: Extracting #2: cost 10 inf + 0 245.028 * * [simplify]: Extracting #3: cost 74 inf + 0 245.028 * * [simplify]: Extracting #4: cost 137 inf + 1 245.029 * * [simplify]: Extracting #5: cost 186 inf + 248 245.030 * * [simplify]: Extracting #6: cost 266 inf + 2199 245.031 * * [simplify]: Extracting #7: cost 237 inf + 8692 245.037 * * [simplify]: Extracting #8: cost 178 inf + 21277 245.049 * * [simplify]: Extracting #9: cost 103 inf + 44965 245.062 * * [simplify]: Extracting #10: cost 49 inf + 71481 245.085 * * [simplify]: Extracting #11: cost 11 inf + 108029 245.112 * * [simplify]: Extracting #12: cost 1 inf + 120319 245.153 * * [simplify]: Extracting #13: cost 0 inf + 122344 245.179 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 245.179 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 245.180 * * * * [progress]: [ 255 / 5906 ] simplifiying candidate # 245.180 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 245.180 * * [simplify]: iters left: 6 (47 enodes) 245.195 * * [simplify]: iters left: 5 (228 enodes) 245.264 * * [simplify]: Extracting #0: cost 1 inf + 0 245.264 * * [simplify]: Extracting #1: cost 3 inf + 0 245.264 * * [simplify]: Extracting #2: cost 10 inf + 0 245.265 * * [simplify]: Extracting #3: cost 66 inf + 0 245.265 * * [simplify]: Extracting #4: cost 117 inf + 44 245.265 * * [simplify]: Extracting #5: cost 150 inf + 1226 245.266 * * [simplify]: Extracting #6: cost 228 inf + 2972 245.268 * * [simplify]: Extracting #7: cost 230 inf + 3344 245.271 * * [simplify]: Extracting #8: cost 163 inf + 19457 245.284 * * [simplify]: Extracting #9: cost 71 inf + 49237 245.300 * * [simplify]: Extracting #10: cost 14 inf + 91880 245.330 * * [simplify]: Extracting #11: cost 1 inf + 100598 245.359 * * [simplify]: Extracting #12: cost 0 inf + 102223 245.380 * * [simplify]: Extracting #13: cost 0 inf + 102023 245.416 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 245.416 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 245.416 * * * * [progress]: [ 256 / 5906 ] simplifiying candidate # 245.417 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 245.417 * * [simplify]: iters left: 6 (52 enodes) 245.432 * * [simplify]: iters left: 5 (256 enodes) 245.517 * * [simplify]: Extracting #0: cost 1 inf + 0 245.517 * * [simplify]: Extracting #1: cost 3 inf + 0 245.517 * * [simplify]: Extracting #2: cost 10 inf + 0 245.517 * * [simplify]: Extracting #3: cost 74 inf + 0 245.518 * * [simplify]: Extracting #4: cost 137 inf + 1 245.519 * * [simplify]: Extracting #5: cost 186 inf + 248 245.520 * * [simplify]: Extracting #6: cost 269 inf + 1272 245.524 * * [simplify]: Extracting #7: cost 241 inf + 7684 245.530 * * [simplify]: Extracting #8: cost 177 inf + 22411 245.539 * * [simplify]: Extracting #9: cost 101 inf + 46470 245.553 * * [simplify]: Extracting #10: cost 49 inf + 72281 245.585 * * [simplify]: Extracting #11: cost 11 inf + 108989 245.634 * * [simplify]: Extracting #12: cost 1 inf + 121279 245.683 * * [simplify]: Extracting #13: cost 0 inf + 123304 245.732 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 245.732 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 245.733 * * * * [progress]: [ 257 / 5906 ] simplifiying candidate # 245.734 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 245.734 * * [simplify]: iters left: 6 (47 enodes) 245.760 * * [simplify]: iters left: 5 (228 enodes) 245.818 * * [simplify]: Extracting #0: cost 1 inf + 0 245.818 * * [simplify]: Extracting #1: cost 3 inf + 0 245.818 * * [simplify]: Extracting #2: cost 10 inf + 0 245.819 * * [simplify]: Extracting #3: cost 65 inf + 0 245.819 * * [simplify]: Extracting #4: cost 117 inf + 44 245.820 * * [simplify]: Extracting #5: cost 154 inf + 618 245.822 * * [simplify]: Extracting #6: cost 229 inf + 2770 245.824 * * [simplify]: Extracting #7: cost 229 inf + 3464 245.830 * * [simplify]: Extracting #8: cost 172 inf + 16187 245.849 * * [simplify]: Extracting #9: cost 69 inf + 51005 245.876 * * [simplify]: Extracting #10: cost 16 inf + 90574 245.896 * * [simplify]: Extracting #11: cost 1 inf + 101078 245.918 * * [simplify]: Extracting #12: cost 0 inf + 102543 245.938 * * [simplify]: Extracting #13: cost 0 inf + 102423 245.969 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 245.969 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 245.970 * * * * [progress]: [ 258 / 5906 ] simplifiying candidate # 245.971 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 245.971 * * [simplify]: iters left: 6 (52 enodes) 246.001 * * [simplify]: iters left: 5 (255 enodes) 246.095 * * [simplify]: Extracting #0: cost 1 inf + 0 246.095 * * [simplify]: Extracting #1: cost 3 inf + 0 246.096 * * [simplify]: Extracting #2: cost 6 inf + 0 246.096 * * [simplify]: Extracting #3: cost 56 inf + 0 246.096 * * [simplify]: Extracting #4: cost 130 inf + 0 246.097 * * [simplify]: Extracting #5: cost 207 inf + 0 246.099 * * [simplify]: Extracting #6: cost 281 inf + 3594 246.107 * * [simplify]: Extracting #7: cost 221 inf + 16371 246.118 * * [simplify]: Extracting #8: cost 141 inf + 36881 246.128 * * [simplify]: Extracting #9: cost 99 inf + 52408 246.141 * * [simplify]: Extracting #10: cost 43 inf + 76350 246.170 * * [simplify]: Extracting #11: cost 19 inf + 101830 246.197 * * [simplify]: Extracting #12: cost 0 inf + 125825 246.226 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 246.226 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 246.227 * * * * [progress]: [ 259 / 5906 ] simplifiying candidate # 246.227 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 246.228 * * [simplify]: iters left: 6 (53 enodes) 246.255 * * [simplify]: iters left: 5 (264 enodes) 246.350 * * [simplify]: Extracting #0: cost 1 inf + 0 246.350 * * [simplify]: Extracting #1: cost 3 inf + 0 246.350 * * [simplify]: Extracting #2: cost 6 inf + 0 246.350 * * [simplify]: Extracting #3: cost 60 inf + 0 246.351 * * [simplify]: Extracting #4: cost 153 inf + 0 246.352 * * [simplify]: Extracting #5: cost 221 inf + 44 246.355 * * [simplify]: Extracting #6: cost 258 inf + 6388 246.362 * * [simplify]: Extracting #7: cost 206 inf + 18088 246.376 * * [simplify]: Extracting #8: cost 127 inf + 44486 246.391 * * [simplify]: Extracting #9: cost 51 inf + 74498 246.413 * * [simplify]: Extracting #10: cost 3 inf + 124407 246.449 * * [simplify]: Extracting #11: cost 0 inf + 127242 246.484 * * [simplify]: Extracting #12: cost 0 inf + 127082 246.521 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 246.521 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 246.522 * * * * [progress]: [ 260 / 5906 ] simplifiying candidate # 246.523 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 246.523 * * [simplify]: iters left: 6 (53 enodes) 246.551 * * [simplify]: iters left: 5 (264 enodes) 246.669 * * [simplify]: Extracting #0: cost 1 inf + 0 246.669 * * [simplify]: Extracting #1: cost 3 inf + 0 246.669 * * [simplify]: Extracting #2: cost 6 inf + 0 246.669 * * [simplify]: Extracting #3: cost 62 inf + 0 246.669 * * [simplify]: Extracting #4: cost 151 inf + 0 246.670 * * [simplify]: Extracting #5: cost 217 inf + 44 246.671 * * [simplify]: Extracting #6: cost 262 inf + 5332 246.675 * * [simplify]: Extracting #7: cost 203 inf + 19784 246.682 * * [simplify]: Extracting #8: cost 116 inf + 47942 246.695 * * [simplify]: Extracting #9: cost 48 inf + 75716 246.734 * * [simplify]: Extracting #10: cost 11 inf + 112279 246.772 * * [simplify]: Extracting #11: cost 0 inf + 124754 246.803 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 246.804 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 246.804 * * * * [progress]: [ 261 / 5906 ] simplifiying candidate # 246.804 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 246.805 * * [simplify]: iters left: 6 (47 enodes) 246.818 * * [simplify]: iters left: 5 (228 enodes) 246.891 * * [simplify]: Extracting #0: cost 1 inf + 0 246.891 * * [simplify]: Extracting #1: cost 3 inf + 0 246.891 * * [simplify]: Extracting #2: cost 6 inf + 0 246.891 * * [simplify]: Extracting #3: cost 54 inf + 0 246.891 * * [simplify]: Extracting #4: cost 119 inf + 0 246.891 * * [simplify]: Extracting #5: cost 165 inf + 44 246.892 * * [simplify]: Extracting #6: cost 234 inf + 1560 246.894 * * [simplify]: Extracting #7: cost 209 inf + 6275 246.902 * * [simplify]: Extracting #8: cost 122 inf + 32713 246.923 * * [simplify]: Extracting #9: cost 45 inf + 64127 246.942 * * [simplify]: Extracting #10: cost 8 inf + 95252 246.964 * * [simplify]: Extracting #11: cost 1 inf + 100988 247.008 * * [simplify]: Extracting #12: cost 0 inf + 102853 247.030 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 247.030 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 247.030 * * * * [progress]: [ 262 / 5906 ] simplifiying candidate # 247.031 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 247.031 * * [simplify]: iters left: 6 (52 enodes) 247.052 * * [simplify]: iters left: 5 (256 enodes) 247.142 * * [simplify]: Extracting #0: cost 1 inf + 0 247.142 * * [simplify]: Extracting #1: cost 3 inf + 0 247.142 * * [simplify]: Extracting #2: cost 10 inf + 0 247.143 * * [simplify]: Extracting #3: cost 74 inf + 0 247.143 * * [simplify]: Extracting #4: cost 137 inf + 1 247.144 * * [simplify]: Extracting #5: cost 186 inf + 248 247.145 * * [simplify]: Extracting #6: cost 249 inf + 3788 247.148 * * [simplify]: Extracting #7: cost 199 inf + 15547 247.153 * * [simplify]: Extracting #8: cost 147 inf + 30474 247.161 * * [simplify]: Extracting #9: cost 85 inf + 53912 247.173 * * [simplify]: Extracting #10: cost 49 inf + 69679 247.201 * * [simplify]: Extracting #11: cost 11 inf + 104549 247.248 * * [simplify]: Extracting #12: cost 1 inf + 116279 247.273 * * [simplify]: Extracting #13: cost 0 inf + 118344 247.311 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 247.311 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 247.312 * * * * [progress]: [ 263 / 5906 ] simplifiying candidate # 247.312 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 247.313 * * [simplify]: iters left: 6 (47 enodes) 247.326 * * [simplify]: iters left: 5 (228 enodes) 247.416 * * [simplify]: Extracting #0: cost 1 inf + 0 247.416 * * [simplify]: Extracting #1: cost 3 inf + 0 247.416 * * [simplify]: Extracting #2: cost 10 inf + 0 247.416 * * [simplify]: Extracting #3: cost 66 inf + 0 247.417 * * [simplify]: Extracting #4: cost 117 inf + 44 247.418 * * [simplify]: Extracting #5: cost 150 inf + 1226 247.420 * * [simplify]: Extracting #6: cost 223 inf + 3016 247.421 * * [simplify]: Extracting #7: cost 215 inf + 4976 247.424 * * [simplify]: Extracting #8: cost 160 inf + 15334 247.430 * * [simplify]: Extracting #9: cost 103 inf + 36494 247.441 * * [simplify]: Extracting #10: cost 41 inf + 61255 247.463 * * [simplify]: Extracting #11: cost 5 inf + 92458 247.506 * * [simplify]: Extracting #12: cost 1 inf + 96758 247.533 * * [simplify]: Extracting #13: cost 0 inf + 98583 247.556 * * [simplify]: Extracting #14: cost 0 inf + 98423 247.590 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 247.591 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 247.591 * * * * [progress]: [ 264 / 5906 ] simplifiying candidate # 247.591 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 247.592 * * [simplify]: iters left: 6 (52 enodes) 247.606 * * [simplify]: iters left: 5 (256 enodes) 247.680 * * [simplify]: Extracting #0: cost 1 inf + 0 247.680 * * [simplify]: Extracting #1: cost 3 inf + 0 247.680 * * [simplify]: Extracting #2: cost 10 inf + 0 247.681 * * [simplify]: Extracting #3: cost 74 inf + 0 247.681 * * [simplify]: Extracting #4: cost 137 inf + 1 247.682 * * [simplify]: Extracting #5: cost 186 inf + 248 247.684 * * [simplify]: Extracting #6: cost 253 inf + 2497 247.688 * * [simplify]: Extracting #7: cost 208 inf + 12681 247.694 * * [simplify]: Extracting #8: cost 145 inf + 31540 247.702 * * [simplify]: Extracting #9: cost 85 inf + 54431 247.714 * * [simplify]: Extracting #10: cost 49 inf + 70639 247.747 * * [simplify]: Extracting #11: cost 11 inf + 105509 247.774 * * [simplify]: Extracting #12: cost 1 inf + 117239 247.806 * * [simplify]: Extracting #13: cost 0 inf + 119304 247.836 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 247.836 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 247.837 * * * * [progress]: [ 265 / 5906 ] simplifiying candidate # 247.837 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 247.837 * * [simplify]: iters left: 6 (47 enodes) 247.858 * * [simplify]: iters left: 5 (228 enodes) 247.918 * * [simplify]: Extracting #0: cost 1 inf + 0 247.919 * * [simplify]: Extracting #1: cost 3 inf + 0 247.919 * * [simplify]: Extracting #2: cost 10 inf + 0 247.919 * * [simplify]: Extracting #3: cost 65 inf + 0 247.919 * * [simplify]: Extracting #4: cost 117 inf + 44 247.920 * * [simplify]: Extracting #5: cost 154 inf + 618 247.922 * * [simplify]: Extracting #6: cost 224 inf + 2814 247.925 * * [simplify]: Extracting #7: cost 213 inf + 5096 247.932 * * [simplify]: Extracting #8: cost 137 inf + 22923 247.950 * * [simplify]: Extracting #9: cost 59 inf + 53200 247.987 * * [simplify]: Extracting #10: cost 7 inf + 92183 248.019 * * [simplify]: Extracting #11: cost 1 inf + 97158 248.041 * * [simplify]: Extracting #12: cost 0 inf + 98983 248.063 * * [simplify]: Extracting #13: cost 0 inf + 98823 248.094 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 248.094 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 248.095 * * * * [progress]: [ 266 / 5906 ] simplifiying candidate # 248.095 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 248.096 * * [simplify]: iters left: 6 (45 enodes) 248.121 * * [simplify]: iters left: 5 (213 enodes) 248.171 * * [simplify]: Extracting #0: cost 1 inf + 0 248.171 * * [simplify]: Extracting #1: cost 3 inf + 0 248.171 * * [simplify]: Extracting #2: cost 6 inf + 0 248.171 * * [simplify]: Extracting #3: cost 48 inf + 0 248.171 * * [simplify]: Extracting #4: cost 112 inf + 0 248.171 * * [simplify]: Extracting #5: cost 179 inf + 0 248.172 * * [simplify]: Extracting #6: cost 246 inf + 127 248.174 * * [simplify]: Extracting #7: cost 226 inf + 7504 248.180 * * [simplify]: Extracting #8: cost 147 inf + 19826 248.192 * * [simplify]: Extracting #9: cost 76 inf + 42519 248.209 * * [simplify]: Extracting #10: cost 27 inf + 74298 248.233 * * [simplify]: Extracting #11: cost 7 inf + 91514 248.261 * * [simplify]: Extracting #12: cost 0 inf + 98609 248.284 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 248.284 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 248.286 * * * * [progress]: [ 267 / 5906 ] simplifiying candidate # 248.286 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 248.287 * * [simplify]: iters left: 6 (46 enodes) 248.311 * * [simplify]: iters left: 5 (222 enodes) 248.384 * * [simplify]: Extracting #0: cost 1 inf + 0 248.384 * * [simplify]: Extracting #1: cost 3 inf + 0 248.384 * * [simplify]: Extracting #2: cost 6 inf + 0 248.384 * * [simplify]: Extracting #3: cost 52 inf + 0 248.385 * * [simplify]: Extracting #4: cost 135 inf + 0 248.386 * * [simplify]: Extracting #5: cost 192 inf + 126 248.388 * * [simplify]: Extracting #6: cost 231 inf + 6099 248.392 * * [simplify]: Extracting #7: cost 192 inf + 14765 248.400 * * [simplify]: Extracting #8: cost 119 inf + 31587 248.410 * * [simplify]: Extracting #9: cost 48 inf + 58662 248.428 * * [simplify]: Extracting #10: cost 6 inf + 94356 248.465 * * [simplify]: Extracting #11: cost 0 inf + 102706 248.490 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 248.490 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 248.491 * * * * [progress]: [ 268 / 5906 ] simplifiying candidate # 248.491 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 248.492 * * [simplify]: iters left: 6 (46 enodes) 248.512 * * [simplify]: iters left: 5 (222 enodes) 248.590 * * [simplify]: Extracting #0: cost 1 inf + 0 248.590 * * [simplify]: Extracting #1: cost 3 inf + 0 248.590 * * [simplify]: Extracting #2: cost 6 inf + 0 248.590 * * [simplify]: Extracting #3: cost 54 inf + 0 248.591 * * [simplify]: Extracting #4: cost 133 inf + 0 248.592 * * [simplify]: Extracting #5: cost 188 inf + 126 248.593 * * [simplify]: Extracting #6: cost 228 inf + 4283 248.597 * * [simplify]: Extracting #7: cost 196 inf + 12861 248.605 * * [simplify]: Extracting #8: cost 132 inf + 26550 248.615 * * [simplify]: Extracting #9: cost 68 inf + 48249 248.630 * * [simplify]: Extracting #10: cost 20 inf + 83639 248.669 * * [simplify]: Extracting #11: cost 0 inf + 100658 248.694 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 248.694 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 248.695 * * * * [progress]: [ 269 / 5906 ] simplifiying candidate # 248.695 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 248.696 * * [simplify]: iters left: 6 (40 enodes) 248.708 * * [simplify]: iters left: 5 (186 enodes) 248.758 * * [simplify]: Extracting #0: cost 1 inf + 0 248.759 * * [simplify]: Extracting #1: cost 3 inf + 0 248.759 * * [simplify]: Extracting #2: cost 6 inf + 0 248.759 * * [simplify]: Extracting #3: cost 46 inf + 0 248.759 * * [simplify]: Extracting #4: cost 101 inf + 0 248.760 * * [simplify]: Extracting #5: cost 137 inf + 44 248.761 * * [simplify]: Extracting #6: cost 181 inf + 1802 248.764 * * [simplify]: Extracting #7: cost 179 inf + 3185 248.770 * * [simplify]: Extracting #8: cost 105 inf + 21396 248.789 * * [simplify]: Extracting #9: cost 33 inf + 53129 248.812 * * [simplify]: Extracting #10: cost 7 inf + 73368 248.830 * * [simplify]: Extracting #11: cost 0 inf + 78077 248.851 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) 248.851 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 248.852 * * * * [progress]: [ 270 / 5906 ] simplifiying candidate # 248.852 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 248.853 * * [simplify]: iters left: 6 (45 enodes) 248.878 * * [simplify]: iters left: 5 (215 enodes) 248.947 * * [simplify]: Extracting #0: cost 1 inf + 0 248.947 * * [simplify]: Extracting #1: cost 3 inf + 0 248.947 * * [simplify]: Extracting #2: cost 10 inf + 0 248.947 * * [simplify]: Extracting #3: cost 62 inf + 0 248.947 * * [simplify]: Extracting #4: cost 116 inf + 1 248.948 * * [simplify]: Extracting #5: cost 155 inf + 289 248.950 * * [simplify]: Extracting #6: cost 214 inf + 1238 248.953 * * [simplify]: Extracting #7: cost 183 inf + 10352 248.962 * * [simplify]: Extracting #8: cost 133 inf + 22438 248.977 * * [simplify]: Extracting #9: cost 40 inf + 56015 249.007 * * [simplify]: Extracting #10: cost 3 inf + 88498 249.026 * * [simplify]: Extracting #11: cost 0 inf + 91173 249.052 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 249.052 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 249.053 * * * * [progress]: [ 271 / 5906 ] simplifiying candidate # 249.054 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 249.054 * * [simplify]: iters left: 6 (40 enodes) 249.076 * * [simplify]: iters left: 5 (187 enodes) 249.156 * * [simplify]: iters left: 4 (483 enodes) 249.404 * * [simplify]: Extracting #0: cost 1 inf + 0 249.404 * * [simplify]: Extracting #1: cost 3 inf + 0 249.404 * * [simplify]: Extracting #2: cost 13 inf + 0 249.404 * * [simplify]: Extracting #3: cost 111 inf + 0 249.406 * * [simplify]: Extracting #4: cost 243 inf + 85 249.408 * * [simplify]: Extracting #5: cost 347 inf + 2367 249.414 * * [simplify]: Extracting #6: cost 461 inf + 6228 249.423 * * [simplify]: Extracting #7: cost 555 inf + 12721 249.457 * * [simplify]: Extracting #8: cost 322 inf + 80466 249.531 * * [simplify]: Extracting #9: cost 94 inf + 188276 249.640 * * [simplify]: Extracting #10: cost 11 inf + 243333 249.719 * * [simplify]: Extracting #11: cost 0 inf + 250008 249.802 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 249.802 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 249.803 * * * * [progress]: [ 272 / 5906 ] simplifiying candidate # 249.804 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 249.805 * * [simplify]: iters left: 6 (45 enodes) 249.829 * * [simplify]: iters left: 5 (215 enodes) 249.924 * * [simplify]: Extracting #0: cost 1 inf + 0 249.924 * * [simplify]: Extracting #1: cost 3 inf + 0 249.924 * * [simplify]: Extracting #2: cost 10 inf + 0 249.925 * * [simplify]: Extracting #3: cost 62 inf + 0 249.925 * * [simplify]: Extracting #4: cost 116 inf + 1 249.926 * * [simplify]: Extracting #5: cost 155 inf + 289 249.927 * * [simplify]: Extracting #6: cost 210 inf + 2188 249.930 * * [simplify]: Extracting #7: cost 188 inf + 8590 249.936 * * [simplify]: Extracting #8: cost 126 inf + 24589 249.952 * * [simplify]: Extracting #9: cost 38 inf + 58044 249.974 * * [simplify]: Extracting #10: cost 3 inf + 89298 249.994 * * [simplify]: Extracting #11: cost 0 inf + 91973 250.025 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 250.025 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 250.026 * * * * [progress]: [ 273 / 5906 ] simplifiying candidate # 250.026 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 250.027 * * [simplify]: iters left: 6 (40 enodes) 250.039 * * [simplify]: iters left: 5 (187 enodes) 250.101 * * [simplify]: iters left: 4 (483 enodes) 250.371 * * [simplify]: Extracting #0: cost 1 inf + 0 250.371 * * [simplify]: Extracting #1: cost 3 inf + 0 250.371 * * [simplify]: Extracting #2: cost 13 inf + 0 250.372 * * [simplify]: Extracting #3: cost 108 inf + 0 250.373 * * [simplify]: Extracting #4: cost 252 inf + 44 250.375 * * [simplify]: Extracting #5: cost 352 inf + 2649 250.387 * * [simplify]: Extracting #6: cost 469 inf + 5742 250.396 * * [simplify]: Extracting #7: cost 517 inf + 31110 250.434 * * [simplify]: Extracting #8: cost 311 inf + 103715 250.500 * * [simplify]: Extracting #9: cost 217 inf + 136325 250.564 * * [simplify]: Extracting #10: cost 46 inf + 219572 250.653 * * [simplify]: Extracting #11: cost 1 inf + 252841 250.752 * * [simplify]: Extracting #12: cost 0 inf + 253826 250.846 * * [simplify]: Extracting #13: cost 0 inf + 253786 250.949 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 250.949 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 250.950 * * * * [progress]: [ 274 / 5906 ] simplifiying candidate # 250.950 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 250.951 * * [simplify]: iters left: 6 (52 enodes) 250.980 * * [simplify]: iters left: 5 (254 enodes) 251.067 * * [simplify]: Extracting #0: cost 1 inf + 0 251.067 * * [simplify]: Extracting #1: cost 3 inf + 0 251.067 * * [simplify]: Extracting #2: cost 6 inf + 0 251.067 * * [simplify]: Extracting #3: cost 56 inf + 0 251.068 * * [simplify]: Extracting #4: cost 130 inf + 0 251.068 * * [simplify]: Extracting #5: cost 215 inf + 0 251.069 * * [simplify]: Extracting #6: cost 312 inf + 510 251.071 * * [simplify]: Extracting #7: cost 267 inf + 10958 251.075 * * [simplify]: Extracting #8: cost 173 inf + 28496 251.087 * * [simplify]: Extracting #9: cost 119 inf + 42331 251.109 * * [simplify]: Extracting #10: cost 64 inf + 65849 251.136 * * [simplify]: Extracting #11: cost 17 inf + 110443 251.163 * * [simplify]: Extracting #12: cost 1 inf + 129860 251.217 * * [simplify]: Extracting #13: cost 0 inf + 131885 251.270 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 251.270 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 251.272 * * * * [progress]: [ 275 / 5906 ] simplifiying candidate # 251.272 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 251.273 * * [simplify]: iters left: 6 (53 enodes) 251.299 * * [simplify]: iters left: 5 (263 enodes) 251.365 * * [simplify]: Extracting #0: cost 1 inf + 0 251.365 * * [simplify]: Extracting #1: cost 3 inf + 0 251.365 * * [simplify]: Extracting #2: cost 6 inf + 0 251.365 * * [simplify]: Extracting #3: cost 60 inf + 0 251.366 * * [simplify]: Extracting #4: cost 153 inf + 0 251.366 * * [simplify]: Extracting #5: cost 228 inf + 85 251.368 * * [simplify]: Extracting #6: cost 287 inf + 4682 251.372 * * [simplify]: Extracting #7: cost 259 inf + 11925 251.382 * * [simplify]: Extracting #8: cost 163 inf + 32356 251.405 * * [simplify]: Extracting #9: cost 86 inf + 56349 251.434 * * [simplify]: Extracting #10: cost 50 inf + 81653 251.474 * * [simplify]: Extracting #11: cost 2 inf + 131972 251.507 * * [simplify]: Extracting #12: cost 0 inf + 135302 251.537 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 251.537 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 251.538 * * * * [progress]: [ 276 / 5906 ] simplifiying candidate # 251.538 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 251.539 * * [simplify]: iters left: 6 (53 enodes) 251.566 * * [simplify]: iters left: 5 (263 enodes) 251.669 * * [simplify]: Extracting #0: cost 1 inf + 0 251.669 * * [simplify]: Extracting #1: cost 3 inf + 0 251.670 * * [simplify]: Extracting #2: cost 6 inf + 0 251.670 * * [simplify]: Extracting #3: cost 62 inf + 0 251.670 * * [simplify]: Extracting #4: cost 151 inf + 0 251.671 * * [simplify]: Extracting #5: cost 225 inf + 44 251.674 * * [simplify]: Extracting #6: cost 290 inf + 3631 251.679 * * [simplify]: Extracting #7: cost 255 inf + 12808 251.688 * * [simplify]: Extracting #8: cost 168 inf + 30598 251.705 * * [simplify]: Extracting #9: cost 93 inf + 53450 251.728 * * [simplify]: Extracting #10: cost 65 inf + 68114 251.760 * * [simplify]: Extracting #11: cost 10 inf + 120644 251.793 * * [simplify]: Extracting #12: cost 0 inf + 132974 251.848 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 251.848 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 251.848 * * * * [progress]: [ 277 / 5906 ] simplifiying candidate # 251.849 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 251.849 * * [simplify]: iters left: 6 (47 enodes) 251.863 * * [simplify]: iters left: 5 (227 enodes) 251.941 * * [simplify]: Extracting #0: cost 1 inf + 0 251.941 * * [simplify]: Extracting #1: cost 3 inf + 0 251.941 * * [simplify]: Extracting #2: cost 6 inf + 0 251.941 * * [simplify]: Extracting #3: cost 54 inf + 0 251.942 * * [simplify]: Extracting #4: cost 119 inf + 0 251.942 * * [simplify]: Extracting #5: cost 173 inf + 44 251.943 * * [simplify]: Extracting #6: cost 253 inf + 1394 251.944 * * [simplify]: Extracting #7: cost 238 inf + 3960 251.948 * * [simplify]: Extracting #8: cost 141 inf + 24724 251.956 * * [simplify]: Extracting #9: cost 73 inf + 49423 251.971 * * [simplify]: Extracting #10: cost 24 inf + 83889 251.992 * * [simplify]: Extracting #11: cost 3 inf + 106438 252.017 * * [simplify]: Extracting #12: cost 0 inf + 110593 252.054 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) 252.054 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 252.055 * * * * [progress]: [ 278 / 5906 ] simplifiying candidate # 252.056 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 252.056 * * [simplify]: iters left: 6 (52 enodes) 252.073 * * [simplify]: iters left: 5 (255 enodes) 252.145 * * [simplify]: Extracting #0: cost 1 inf + 0 252.145 * * [simplify]: Extracting #1: cost 3 inf + 0 252.145 * * [simplify]: Extracting #2: cost 10 inf + 0 252.145 * * [simplify]: Extracting #3: cost 74 inf + 0 252.145 * * [simplify]: Extracting #4: cost 137 inf + 1 252.146 * * [simplify]: Extracting #5: cost 195 inf + 207 252.147 * * [simplify]: Extracting #6: cost 274 inf + 2967 252.149 * * [simplify]: Extracting #7: cost 253 inf + 8135 252.155 * * [simplify]: Extracting #8: cost 178 inf + 22106 252.167 * * [simplify]: Extracting #9: cost 119 inf + 39551 252.189 * * [simplify]: Extracting #10: cost 58 inf + 67497 252.216 * * [simplify]: Extracting #11: cost 34 inf + 83594 252.247 * * [simplify]: Extracting #12: cost 5 inf + 115959 252.281 * * [simplify]: Extracting #13: cost 1 inf + 121099 252.333 * * [simplify]: Extracting #14: cost 0 inf + 123124 252.381 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 252.382 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 252.382 * * * * [progress]: [ 279 / 5906 ] simplifiying candidate # 252.383 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 252.383 * * [simplify]: iters left: 6 (47 enodes) 252.396 * * [simplify]: iters left: 5 (227 enodes) 252.469 * * [simplify]: Extracting #0: cost 1 inf + 0 252.469 * * [simplify]: Extracting #1: cost 3 inf + 0 252.470 * * [simplify]: Extracting #2: cost 10 inf + 0 252.470 * * [simplify]: Extracting #3: cost 66 inf + 0 252.470 * * [simplify]: Extracting #4: cost 117 inf + 44 252.471 * * [simplify]: Extracting #5: cost 158 inf + 1186 252.473 * * [simplify]: Extracting #6: cost 241 inf + 2972 252.476 * * [simplify]: Extracting #7: cost 239 inf + 3632 252.483 * * [simplify]: Extracting #8: cost 147 inf + 24051 252.501 * * [simplify]: Extracting #9: cost 63 inf + 55547 252.525 * * [simplify]: Extracting #10: cost 10 inf + 93016 252.548 * * [simplify]: Extracting #11: cost 1 inf + 101658 252.587 * * [simplify]: Extracting #12: cost 0 inf + 103443 252.609 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 252.609 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 252.610 * * * * [progress]: [ 280 / 5906 ] simplifiying candidate # 252.611 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 252.612 * * [simplify]: iters left: 6 (52 enodes) 252.640 * * [simplify]: iters left: 5 (255 enodes) 252.732 * * [simplify]: Extracting #0: cost 1 inf + 0 252.732 * * [simplify]: Extracting #1: cost 3 inf + 0 252.732 * * [simplify]: Extracting #2: cost 10 inf + 0 252.733 * * [simplify]: Extracting #3: cost 74 inf + 0 252.733 * * [simplify]: Extracting #4: cost 137 inf + 1 252.734 * * [simplify]: Extracting #5: cost 195 inf + 207 252.736 * * [simplify]: Extracting #6: cost 269 inf + 3494 252.740 * * [simplify]: Extracting #7: cost 251 inf + 9340 252.747 * * [simplify]: Extracting #8: cost 177 inf + 22951 252.758 * * [simplify]: Extracting #9: cost 120 inf + 38947 252.779 * * [simplify]: Extracting #10: cost 57 inf + 68402 252.806 * * [simplify]: Extracting #11: cost 35 inf + 83649 252.852 * * [simplify]: Extracting #12: cost 5 inf + 116759 252.905 * * [simplify]: Extracting #13: cost 1 inf + 121899 252.957 * * [simplify]: Extracting #14: cost 0 inf + 123924 253.007 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 253.007 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 253.008 * * * * [progress]: [ 281 / 5906 ] simplifiying candidate # 253.008 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 253.009 * * [simplify]: iters left: 6 (47 enodes) 253.034 * * [simplify]: iters left: 5 (227 enodes) 253.124 * * [simplify]: Extracting #0: cost 1 inf + 0 253.124 * * [simplify]: Extracting #1: cost 3 inf + 0 253.124 * * [simplify]: Extracting #2: cost 10 inf + 0 253.125 * * [simplify]: Extracting #3: cost 65 inf + 0 253.125 * * [simplify]: Extracting #4: cost 116 inf + 86 253.125 * * [simplify]: Extracting #5: cost 152 inf + 1958 253.127 * * [simplify]: Extracting #6: cost 241 inf + 2932 253.128 * * [simplify]: Extracting #7: cost 238 inf + 3754 253.132 * * [simplify]: Extracting #8: cost 140 inf + 25328 253.141 * * [simplify]: Extracting #9: cost 65 inf + 54519 253.167 * * [simplify]: Extracting #10: cost 12 inf + 92992 253.209 * * [simplify]: Extracting #11: cost 1 inf + 102058 253.250 * * [simplify]: Extracting #12: cost 0 inf + 103843 253.292 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 253.292 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 253.293 * * * * [progress]: [ 282 / 5906 ] simplifiying candidate # 253.294 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 253.295 * * [simplify]: iters left: 6 (52 enodes) 253.321 * * [simplify]: iters left: 5 (253 enodes) 253.397 * * [simplify]: Extracting #0: cost 1 inf + 0 253.397 * * [simplify]: Extracting #1: cost 3 inf + 0 253.397 * * [simplify]: Extracting #2: cost 6 inf + 0 253.397 * * [simplify]: Extracting #3: cost 56 inf + 0 253.398 * * [simplify]: Extracting #4: cost 130 inf + 0 253.398 * * [simplify]: Extracting #5: cost 216 inf + 0 253.399 * * [simplify]: Extracting #6: cost 304 inf + 722 253.401 * * [simplify]: Extracting #7: cost 256 inf + 11354 253.405 * * [simplify]: Extracting #8: cost 153 inf + 32740 253.416 * * [simplify]: Extracting #9: cost 77 inf + 58692 253.431 * * [simplify]: Extracting #10: cost 38 inf + 84898 253.457 * * [simplify]: Extracting #11: cost 8 inf + 120808 253.489 * * [simplify]: Extracting #12: cost 1 inf + 131663 253.543 * * [simplify]: Extracting #13: cost 0 inf + 133768 253.598 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 253.598 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 253.599 * * * * [progress]: [ 283 / 5906 ] simplifiying candidate # 253.599 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 253.600 * * [simplify]: iters left: 6 (53 enodes) 253.627 * * [simplify]: iters left: 5 (262 enodes) 253.691 * * [simplify]: Extracting #0: cost 1 inf + 0 253.691 * * [simplify]: Extracting #1: cost 3 inf + 0 253.691 * * [simplify]: Extracting #2: cost 6 inf + 0 253.691 * * [simplify]: Extracting #3: cost 60 inf + 0 253.691 * * [simplify]: Extracting #4: cost 153 inf + 0 253.692 * * [simplify]: Extracting #5: cost 230 inf + 44 253.694 * * [simplify]: Extracting #6: cost 284 inf + 4117 253.696 * * [simplify]: Extracting #7: cost 253 inf + 10691 253.704 * * [simplify]: Extracting #8: cost 152 inf + 35664 253.723 * * [simplify]: Extracting #9: cost 24 inf + 105675 253.753 * * [simplify]: Extracting #10: cost 2 inf + 127175 253.806 * * [simplify]: Extracting #11: cost 0 inf + 131225 253.860 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 253.860 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 253.862 * * * * [progress]: [ 284 / 5906 ] simplifiying candidate # 253.862 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 253.864 * * [simplify]: iters left: 6 (53 enodes) 253.893 * * [simplify]: iters left: 5 (262 enodes) 254.008 * * [simplify]: Extracting #0: cost 1 inf + 0 254.008 * * [simplify]: Extracting #1: cost 3 inf + 0 254.008 * * [simplify]: Extracting #2: cost 6 inf + 0 254.008 * * [simplify]: Extracting #3: cost 62 inf + 0 254.008 * * [simplify]: Extracting #4: cost 151 inf + 0 254.009 * * [simplify]: Extracting #5: cost 226 inf + 44 254.010 * * [simplify]: Extracting #6: cost 278 inf + 4958 254.013 * * [simplify]: Extracting #7: cost 252 inf + 10504 254.018 * * [simplify]: Extracting #8: cost 184 inf + 24236 254.030 * * [simplify]: Extracting #9: cost 123 inf + 40165 254.052 * * [simplify]: Extracting #10: cost 59 inf + 71396 254.085 * * [simplify]: Extracting #11: cost 10 inf + 119127 254.112 * * [simplify]: Extracting #12: cost 0 inf + 131537 254.157 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 254.157 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 254.158 * * * * [progress]: [ 285 / 5906 ] simplifiying candidate # 254.158 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 254.158 * * [simplify]: iters left: 6 (47 enodes) 254.171 * * [simplify]: iters left: 5 (226 enodes) 254.241 * * [simplify]: Extracting #0: cost 1 inf + 0 254.241 * * [simplify]: Extracting #1: cost 3 inf + 0 254.241 * * [simplify]: Extracting #2: cost 6 inf + 0 254.241 * * [simplify]: Extracting #3: cost 54 inf + 0 254.241 * * [simplify]: Extracting #4: cost 119 inf + 0 254.242 * * [simplify]: Extracting #5: cost 174 inf + 44 254.242 * * [simplify]: Extracting #6: cost 246 inf + 1394 254.246 * * [simplify]: Extracting #7: cost 230 inf + 4160 254.250 * * [simplify]: Extracting #8: cost 162 inf + 16737 254.261 * * [simplify]: Extracting #9: cost 108 inf + 39825 254.282 * * [simplify]: Extracting #10: cost 52 inf + 60627 254.310 * * [simplify]: Extracting #11: cost 21 inf + 85471 254.352 * * [simplify]: Extracting #12: cost 1 inf + 107691 254.381 * * [simplify]: Extracting #13: cost 0 inf + 109556 254.420 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) 254.420 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 254.421 * * * * [progress]: [ 286 / 5906 ] simplifiying candidate # 254.421 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 254.422 * * [simplify]: iters left: 6 (52 enodes) 254.449 * * [simplify]: iters left: 5 (254 enodes) 254.538 * * [simplify]: Extracting #0: cost 1 inf + 0 254.538 * * [simplify]: Extracting #1: cost 3 inf + 0 254.538 * * [simplify]: Extracting #2: cost 10 inf + 0 254.538 * * [simplify]: Extracting #3: cost 74 inf + 0 254.539 * * [simplify]: Extracting #4: cost 137 inf + 1 254.539 * * [simplify]: Extracting #5: cost 196 inf + 207 254.540 * * [simplify]: Extracting #6: cost 264 inf + 3412 254.542 * * [simplify]: Extracting #7: cost 248 inf + 7791 254.546 * * [simplify]: Extracting #8: cost 139 inf + 35850 254.557 * * [simplify]: Extracting #9: cost 62 inf + 64966 254.577 * * [simplify]: Extracting #10: cost 13 inf + 107185 254.617 * * [simplify]: Extracting #11: cost 1 inf + 121022 254.645 * * [simplify]: Extracting #12: cost 0 inf + 123087 254.691 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) 254.691 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 254.692 * * * * [progress]: [ 287 / 5906 ] simplifiying candidate # 254.692 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 254.692 * * [simplify]: iters left: 6 (47 enodes) 254.706 * * [simplify]: iters left: 5 (226 enodes) 254.795 * * [simplify]: Extracting #0: cost 1 inf + 0 254.796 * * [simplify]: Extracting #1: cost 3 inf + 0 254.796 * * [simplify]: Extracting #2: cost 10 inf + 0 254.796 * * [simplify]: Extracting #3: cost 66 inf + 0 254.797 * * [simplify]: Extracting #4: cost 117 inf + 44 254.797 * * [simplify]: Extracting #5: cost 160 inf + 1144 254.800 * * [simplify]: Extracting #6: cost 234 inf + 2972 254.802 * * [simplify]: Extracting #7: cost 235 inf + 3466 254.809 * * [simplify]: Extracting #8: cost 158 inf + 21662 254.827 * * [simplify]: Extracting #9: cost 62 inf + 58049 254.846 * * [simplify]: Extracting #10: cost 17 inf + 83341 254.869 * * [simplify]: Extracting #11: cost 3 inf + 96691 254.909 * * [simplify]: Extracting #12: cost 1 inf + 100221 254.932 * * [simplify]: Extracting #13: cost 0 inf + 102006 254.955 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 254.955 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 254.955 * * * * [progress]: [ 288 / 5906 ] simplifiying candidate # 254.956 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 254.956 * * [simplify]: iters left: 6 (52 enodes) 254.970 * * [simplify]: iters left: 5 (254 enodes) 255.042 * * [simplify]: Extracting #0: cost 1 inf + 0 255.042 * * [simplify]: Extracting #1: cost 3 inf + 0 255.042 * * [simplify]: Extracting #2: cost 10 inf + 0 255.042 * * [simplify]: Extracting #3: cost 74 inf + 0 255.042 * * [simplify]: Extracting #4: cost 137 inf + 1 255.043 * * [simplify]: Extracting #5: cost 196 inf + 207 255.044 * * [simplify]: Extracting #6: cost 272 inf + 1797 255.045 * * [simplify]: Extracting #7: cost 251 inf + 6855 255.050 * * [simplify]: Extracting #8: cost 141 inf + 34946 255.060 * * [simplify]: Extracting #9: cost 63 inf + 64781 255.081 * * [simplify]: Extracting #10: cost 13 inf + 107905 255.107 * * [simplify]: Extracting #11: cost 1 inf + 121982 255.140 * * [simplify]: Extracting #12: cost 0 inf + 124047 255.167 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) 255.168 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 255.168 * * * * [progress]: [ 289 / 5906 ] simplifiying candidate # 255.169 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 255.169 * * [simplify]: iters left: 6 (47 enodes) 255.182 * * [simplify]: iters left: 5 (226 enodes) 255.256 * * [simplify]: Extracting #0: cost 1 inf + 0 255.256 * * [simplify]: Extracting #1: cost 3 inf + 0 255.256 * * [simplify]: Extracting #2: cost 10 inf + 0 255.256 * * [simplify]: Extracting #3: cost 65 inf + 0 255.257 * * [simplify]: Extracting #4: cost 116 inf + 86 255.258 * * [simplify]: Extracting #5: cost 156 inf + 1512 255.259 * * [simplify]: Extracting #6: cost 234 inf + 2932 255.262 * * [simplify]: Extracting #7: cost 232 inf + 3672 255.268 * * [simplify]: Extracting #8: cost 147 inf + 21991 255.281 * * [simplify]: Extracting #9: cost 79 inf + 45459 255.302 * * [simplify]: Extracting #10: cost 26 inf + 79238 255.346 * * [simplify]: Extracting #11: cost 3 inf + 98091 255.387 * * [simplify]: Extracting #12: cost 1 inf + 100381 255.430 * * [simplify]: Extracting #13: cost 0 inf + 102166 255.471 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 255.471 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 255.472 * * * * [progress]: [ 290 / 5906 ] simplifiying candidate # 255.472 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 255.473 * * [simplify]: iters left: 6 (52 enodes) 255.493 * * [simplify]: iters left: 5 (254 enodes) 255.555 * * [simplify]: Extracting #0: cost 1 inf + 0 255.555 * * [simplify]: Extracting #1: cost 3 inf + 0 255.555 * * [simplify]: Extracting #2: cost 6 inf + 0 255.555 * * [simplify]: Extracting #3: cost 56 inf + 0 255.555 * * [simplify]: Extracting #4: cost 130 inf + 0 255.556 * * [simplify]: Extracting #5: cost 208 inf + 0 255.557 * * [simplify]: Extracting #6: cost 299 inf + 721 255.558 * * [simplify]: Extracting #7: cost 256 inf + 10637 255.562 * * [simplify]: Extracting #8: cost 181 inf + 23442 255.569 * * [simplify]: Extracting #9: cost 107 inf + 47366 255.590 * * [simplify]: Extracting #10: cost 52 inf + 72405 255.629 * * [simplify]: Extracting #11: cost 15 inf + 108290 255.671 * * [simplify]: Extracting #12: cost 0 inf + 126825 255.699 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 255.699 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 255.700 * * * * [progress]: [ 291 / 5906 ] simplifiying candidate # 255.700 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 255.701 * * [simplify]: iters left: 6 (53 enodes) 255.722 * * [simplify]: iters left: 5 (263 enodes) 255.807 * * [simplify]: Extracting #0: cost 1 inf + 0 255.808 * * [simplify]: Extracting #1: cost 3 inf + 0 255.808 * * [simplify]: Extracting #2: cost 6 inf + 0 255.808 * * [simplify]: Extracting #3: cost 60 inf + 0 255.808 * * [simplify]: Extracting #4: cost 153 inf + 0 255.809 * * [simplify]: Extracting #5: cost 222 inf + 44 255.812 * * [simplify]: Extracting #6: cost 274 inf + 5244 255.816 * * [simplify]: Extracting #7: cost 246 inf + 11763 255.823 * * [simplify]: Extracting #8: cost 181 inf + 23115 255.834 * * [simplify]: Extracting #9: cost 124 inf + 40901 255.849 * * [simplify]: Extracting #10: cost 57 inf + 71461 255.870 * * [simplify]: Extracting #11: cost 30 inf + 95012 255.921 * * [simplify]: Extracting #12: cost 4 inf + 124742 255.954 * * [simplify]: Extracting #13: cost 0 inf + 129482 255.991 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 255.991 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 255.992 * * * * [progress]: [ 292 / 5906 ] simplifiying candidate # 255.993 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 255.993 * * [simplify]: iters left: 6 (53 enodes) 256.027 * * [simplify]: iters left: 5 (263 enodes) 256.105 * * [simplify]: Extracting #0: cost 1 inf + 0 256.105 * * [simplify]: Extracting #1: cost 3 inf + 0 256.105 * * [simplify]: Extracting #2: cost 6 inf + 0 256.105 * * [simplify]: Extracting #3: cost 62 inf + 0 256.105 * * [simplify]: Extracting #4: cost 151 inf + 0 256.106 * * [simplify]: Extracting #5: cost 218 inf + 44 256.107 * * [simplify]: Extracting #6: cost 272 inf + 4958 256.109 * * [simplify]: Extracting #7: cost 244 inf + 11921 256.113 * * [simplify]: Extracting #8: cost 185 inf + 22137 256.124 * * [simplify]: Extracting #9: cost 113 inf + 45632 256.144 * * [simplify]: Extracting #10: cost 55 inf + 72623 256.169 * * [simplify]: Extracting #11: cost 15 inf + 110539 256.199 * * [simplify]: Extracting #12: cost 0 inf + 127154 256.229 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 256.229 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 256.230 * * * * [progress]: [ 293 / 5906 ] simplifiying candidate # 256.230 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 256.231 * * [simplify]: iters left: 6 (47 enodes) 256.244 * * [simplify]: iters left: 5 (227 enodes) 256.303 * * [simplify]: Extracting #0: cost 1 inf + 0 256.303 * * [simplify]: Extracting #1: cost 3 inf + 0 256.303 * * [simplify]: Extracting #2: cost 6 inf + 0 256.304 * * [simplify]: Extracting #3: cost 54 inf + 0 256.304 * * [simplify]: Extracting #4: cost 119 inf + 0 256.304 * * [simplify]: Extracting #5: cost 166 inf + 44 256.305 * * [simplify]: Extracting #6: cost 238 inf + 1557 256.306 * * [simplify]: Extracting #7: cost 228 inf + 3714 256.310 * * [simplify]: Extracting #8: cost 147 inf + 22344 256.321 * * [simplify]: Extracting #9: cost 67 inf + 50788 256.346 * * [simplify]: Extracting #10: cost 26 inf + 74963 256.389 * * [simplify]: Extracting #11: cost 3 inf + 99778 256.415 * * [simplify]: Extracting #12: cost 1 inf + 103468 256.444 * * [simplify]: Extracting #13: cost 0 inf + 105333 256.481 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (+ phi2 phi1))) (+ phi2 phi1)))) 256.481 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (+ phi2 phi1))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 256.482 * * * * [progress]: [ 294 / 5906 ] simplifiying candidate # 256.482 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 256.483 * * [simplify]: iters left: 6 (52 enodes) 256.508 * * [simplify]: iters left: 5 (255 enodes) 256.629 * * [simplify]: Extracting #0: cost 1 inf + 0 256.630 * * [simplify]: Extracting #1: cost 3 inf + 0 256.630 * * [simplify]: Extracting #2: cost 10 inf + 0 256.630 * * [simplify]: Extracting #3: cost 74 inf + 0 256.630 * * [simplify]: Extracting #4: cost 137 inf + 1 256.631 * * [simplify]: Extracting #5: cost 187 inf + 248 256.633 * * [simplify]: Extracting #6: cost 264 inf + 2322 256.637 * * [simplify]: Extracting #7: cost 242 inf + 8473 256.643 * * [simplify]: Extracting #8: cost 172 inf + 21162 256.652 * * [simplify]: Extracting #9: cost 110 inf + 42195 256.663 * * [simplify]: Extracting #10: cost 56 inf + 65746 256.679 * * [simplify]: Extracting #11: cost 28 inf + 84284 256.715 * * [simplify]: Extracting #12: cost 3 inf + 112389 256.744 * * [simplify]: Extracting #13: cost 0 inf + 118304 256.791 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 256.791 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 256.792 * * * * [progress]: [ 295 / 5906 ] simplifiying candidate # 256.793 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 256.793 * * [simplify]: iters left: 6 (47 enodes) 256.820 * * [simplify]: iters left: 5 (227 enodes) 256.894 * * [simplify]: Extracting #0: cost 1 inf + 0 256.894 * * [simplify]: Extracting #1: cost 3 inf + 0 256.894 * * [simplify]: Extracting #2: cost 10 inf + 0 256.894 * * [simplify]: Extracting #3: cost 66 inf + 0 256.895 * * [simplify]: Extracting #4: cost 117 inf + 44 256.896 * * [simplify]: Extracting #5: cost 148 inf + 1752 256.898 * * [simplify]: Extracting #6: cost 228 inf + 2972 256.902 * * [simplify]: Extracting #7: cost 229 inf + 3667 256.908 * * [simplify]: Extracting #8: cost 156 inf + 19478 256.924 * * [simplify]: Extracting #9: cost 67 inf + 49788 256.954 * * [simplify]: Extracting #10: cost 13 inf + 88225 256.983 * * [simplify]: Extracting #11: cost 1 inf + 97438 257.012 * * [simplify]: Extracting #12: cost 0 inf + 98983 257.040 * * [simplify]: Extracting #13: cost 0 inf + 98903 257.065 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 257.065 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 257.066 * * * * [progress]: [ 296 / 5906 ] simplifiying candidate # 257.067 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 257.067 * * [simplify]: iters left: 6 (52 enodes) 257.094 * * [simplify]: iters left: 5 (255 enodes) 257.177 * * [simplify]: Extracting #0: cost 1 inf + 0 257.177 * * [simplify]: Extracting #1: cost 3 inf + 0 257.177 * * [simplify]: Extracting #2: cost 10 inf + 0 257.178 * * [simplify]: Extracting #3: cost 74 inf + 0 257.178 * * [simplify]: Extracting #4: cost 137 inf + 1 257.178 * * [simplify]: Extracting #5: cost 187 inf + 248 257.179 * * [simplify]: Extracting #6: cost 268 inf + 1313 257.181 * * [simplify]: Extracting #7: cost 250 inf + 5885 257.183 * * [simplify]: Extracting #8: cost 189 inf + 17036 257.189 * * [simplify]: Extracting #9: cost 116 inf + 39961 257.204 * * [simplify]: Extracting #10: cost 58 inf + 65580 257.234 * * [simplify]: Extracting #11: cost 28 inf + 85404 257.276 * * [simplify]: Extracting #12: cost 4 inf + 112444 257.324 * * [simplify]: Extracting #13: cost 0 inf + 119424 257.374 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 257.374 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 257.375 * * * * [progress]: [ 297 / 5906 ] simplifiying candidate # 257.375 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 257.376 * * [simplify]: iters left: 6 (47 enodes) 257.401 * * [simplify]: iters left: 5 (227 enodes) 257.474 * * [simplify]: Extracting #0: cost 1 inf + 0 257.474 * * [simplify]: Extracting #1: cost 3 inf + 0 257.474 * * [simplify]: Extracting #2: cost 10 inf + 0 257.474 * * [simplify]: Extracting #3: cost 65 inf + 0 257.475 * * [simplify]: Extracting #4: cost 117 inf + 44 257.476 * * [simplify]: Extracting #5: cost 155 inf + 658 257.477 * * [simplify]: Extracting #6: cost 229 inf + 2770 257.480 * * [simplify]: Extracting #7: cost 230 inf + 3505 257.484 * * [simplify]: Extracting #8: cost 182 inf + 11284 257.493 * * [simplify]: Extracting #9: cost 112 inf + 31638 257.514 * * [simplify]: Extracting #10: cost 39 inf + 64225 257.547 * * [simplify]: Extracting #11: cost 10 inf + 88293 257.577 * * [simplify]: Extracting #12: cost 1 inf + 97678 257.597 * * [simplify]: Extracting #13: cost 0 inf + 99383 257.633 * * [simplify]: Extracting #14: cost 0 inf + 99303 257.672 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 257.673 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 257.674 * * * * [progress]: [ 298 / 5906 ] simplifiying candidate # 257.674 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 257.675 * * [simplify]: iters left: 6 (45 enodes) 257.702 * * [simplify]: iters left: 5 (217 enodes) 257.757 * * [simplify]: Extracting #0: cost 1 inf + 0 257.757 * * [simplify]: Extracting #1: cost 3 inf + 0 257.757 * * [simplify]: Extracting #2: cost 6 inf + 0 257.757 * * [simplify]: Extracting #3: cost 54 inf + 0 257.758 * * [simplify]: Extracting #4: cost 120 inf + 0 257.758 * * [simplify]: Extracting #5: cost 187 inf + 0 257.759 * * [simplify]: Extracting #6: cost 250 inf + 291 257.760 * * [simplify]: Extracting #7: cost 221 inf + 6916 257.764 * * [simplify]: Extracting #8: cost 123 inf + 29329 257.773 * * [simplify]: Extracting #9: cost 61 inf + 52525 257.800 * * [simplify]: Extracting #10: cost 8 inf + 96003 257.821 * * [simplify]: Extracting #11: cost 0 inf + 104003 257.859 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 257.860 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 257.861 * * * * [progress]: [ 299 / 5906 ] simplifiying candidate # 257.861 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 257.862 * * [simplify]: iters left: 6 (46 enodes) 257.886 * * [simplify]: iters left: 5 (226 enodes) 257.958 * * [simplify]: Extracting #0: cost 1 inf + 0 257.958 * * [simplify]: Extracting #1: cost 3 inf + 0 257.958 * * [simplify]: Extracting #2: cost 6 inf + 0 257.958 * * [simplify]: Extracting #3: cost 58 inf + 0 257.959 * * [simplify]: Extracting #4: cost 143 inf + 0 257.960 * * [simplify]: Extracting #5: cost 200 inf + 126 257.961 * * [simplify]: Extracting #6: cost 246 inf + 4196 257.963 * * [simplify]: Extracting #7: cost 205 inf + 11960 257.967 * * [simplify]: Extracting #8: cost 148 inf + 22764 257.973 * * [simplify]: Extracting #9: cost 96 inf + 39431 257.984 * * [simplify]: Extracting #10: cost 47 inf + 63990 258.014 * * [simplify]: Extracting #11: cost 2 inf + 105810 258.040 * * [simplify]: Extracting #12: cost 0 inf + 108380 258.076 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 258.076 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 258.077 * * * * [progress]: [ 300 / 5906 ] simplifiying candidate # 258.077 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 258.078 * * [simplify]: iters left: 6 (46 enodes) 258.091 * * [simplify]: iters left: 5 (226 enodes) 258.147 * * [simplify]: Extracting #0: cost 1 inf + 0 258.147 * * [simplify]: Extracting #1: cost 3 inf + 0 258.147 * * [simplify]: Extracting #2: cost 6 inf + 0 258.147 * * [simplify]: Extracting #3: cost 60 inf + 0 258.147 * * [simplify]: Extracting #4: cost 141 inf + 0 258.148 * * [simplify]: Extracting #5: cost 196 inf + 126 258.149 * * [simplify]: Extracting #6: cost 241 inf + 3436 258.151 * * [simplify]: Extracting #7: cost 206 inf + 12349 258.154 * * [simplify]: Extracting #8: cost 146 inf + 23887 258.161 * * [simplify]: Extracting #9: cost 90 inf + 41572 258.182 * * [simplify]: Extracting #10: cost 46 inf + 63502 258.204 * * [simplify]: Extracting #11: cost 5 inf + 98927 258.227 * * [simplify]: Extracting #12: cost 1 inf + 104307 258.264 * * [simplify]: Extracting #13: cost 0 inf + 106132 258.308 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 258.308 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 258.308 * * * * [progress]: [ 301 / 5906 ] simplifiying candidate # 258.309 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 258.309 * * [simplify]: iters left: 6 (40 enodes) 258.320 * * [simplify]: iters left: 5 (190 enodes) 258.381 * * [simplify]: Extracting #0: cost 1 inf + 0 258.381 * * [simplify]: Extracting #1: cost 3 inf + 0 258.381 * * [simplify]: Extracting #2: cost 6 inf + 0 258.381 * * [simplify]: Extracting #3: cost 52 inf + 0 258.381 * * [simplify]: Extracting #4: cost 109 inf + 0 258.382 * * [simplify]: Extracting #5: cost 145 inf + 44 258.384 * * [simplify]: Extracting #6: cost 190 inf + 1761 258.386 * * [simplify]: Extracting #7: cost 187 inf + 3185 258.394 * * [simplify]: Extracting #8: cost 128 inf + 17964 258.407 * * [simplify]: Extracting #9: cost 63 inf + 42680 258.421 * * [simplify]: Extracting #10: cost 13 inf + 71959 258.438 * * [simplify]: Extracting #11: cost 2 inf + 80021 258.455 * * [simplify]: Extracting #12: cost 0 inf + 83031 258.484 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))))) 258.484 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 258.485 * * * * [progress]: [ 302 / 5906 ] simplifiying candidate # 258.486 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 258.486 * * [simplify]: iters left: 6 (45 enodes) 258.511 * * [simplify]: iters left: 5 (218 enodes) 258.574 * * [simplify]: Extracting #0: cost 1 inf + 0 258.574 * * [simplify]: Extracting #1: cost 3 inf + 0 258.574 * * [simplify]: Extracting #2: cost 10 inf + 0 258.574 * * [simplify]: Extracting #3: cost 72 inf + 0 258.575 * * [simplify]: Extracting #4: cost 127 inf + 1 258.575 * * [simplify]: Extracting #5: cost 166 inf + 289 258.576 * * [simplify]: Extracting #6: cost 225 inf + 1288 258.577 * * [simplify]: Extracting #7: cost 204 inf + 7460 258.580 * * [simplify]: Extracting #8: cost 145 inf + 20844 258.587 * * [simplify]: Extracting #9: cost 60 inf + 48402 258.603 * * [simplify]: Extracting #10: cost 21 inf + 77060 258.631 * * [simplify]: Extracting #11: cost 2 inf + 96952 258.658 * * [simplify]: Extracting #12: cost 0 inf + 99642 258.690 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 258.690 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 258.690 * * * * [progress]: [ 303 / 5906 ] simplifiying candidate # 258.691 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 258.691 * * [simplify]: iters left: 6 (40 enodes) 258.702 * * [simplify]: iters left: 5 (190 enodes) 258.755 * * [simplify]: Extracting #0: cost 1 inf + 0 258.755 * * [simplify]: Extracting #1: cost 3 inf + 0 258.755 * * [simplify]: Extracting #2: cost 10 inf + 0 258.755 * * [simplify]: Extracting #3: cost 64 inf + 0 258.755 * * [simplify]: Extracting #4: cost 106 inf + 86 258.757 * * [simplify]: Extracting #5: cost 124 inf + 1958 258.758 * * [simplify]: Extracting #6: cost 181 inf + 2932 258.760 * * [simplify]: Extracting #7: cost 184 inf + 3265 258.766 * * [simplify]: Extracting #8: cost 113 inf + 18730 258.781 * * [simplify]: Extracting #9: cost 46 inf + 48155 258.808 * * [simplify]: Extracting #10: cost 12 inf + 74157 258.827 * * [simplify]: Extracting #11: cost 0 inf + 80201 258.847 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) 258.847 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 258.848 * * * * [progress]: [ 304 / 5906 ] simplifiying candidate # 258.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 258.849 * * [simplify]: iters left: 6 (45 enodes) 258.873 * * [simplify]: iters left: 5 (218 enodes) 258.946 * * [simplify]: Extracting #0: cost 1 inf + 0 258.946 * * [simplify]: Extracting #1: cost 3 inf + 0 258.946 * * [simplify]: Extracting #2: cost 10 inf + 0 258.946 * * [simplify]: Extracting #3: cost 72 inf + 0 258.946 * * [simplify]: Extracting #4: cost 127 inf + 1 258.947 * * [simplify]: Extracting #5: cost 166 inf + 289 258.948 * * [simplify]: Extracting #6: cost 224 inf + 1401 258.950 * * [simplify]: Extracting #7: cost 201 inf + 9124 258.955 * * [simplify]: Extracting #8: cost 148 inf + 20007 258.968 * * [simplify]: Extracting #9: cost 62 inf + 47152 258.990 * * [simplify]: Extracting #10: cost 21 inf + 78020 259.012 * * [simplify]: Extracting #11: cost 2 inf + 97912 259.045 * * [simplify]: Extracting #12: cost 0 inf + 100602 259.069 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 259.069 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 259.070 * * * * [progress]: [ 305 / 5906 ] simplifiying candidate # 259.070 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 259.070 * * [simplify]: iters left: 6 (40 enodes) 259.081 * * [simplify]: iters left: 5 (190 enodes) 259.125 * * [simplify]: Extracting #0: cost 1 inf + 0 259.125 * * [simplify]: Extracting #1: cost 3 inf + 0 259.125 * * [simplify]: Extracting #2: cost 10 inf + 0 259.125 * * [simplify]: Extracting #3: cost 63 inf + 0 259.125 * * [simplify]: Extracting #4: cost 106 inf + 86 259.126 * * [simplify]: Extracting #5: cost 126 inf + 1675 259.127 * * [simplify]: Extracting #6: cost 183 inf + 2689 259.128 * * [simplify]: Extracting #7: cost 184 inf + 3265 259.130 * * [simplify]: Extracting #8: cost 113 inf + 19013 259.138 * * [simplify]: Extracting #9: cost 47 inf + 47872 259.159 * * [simplify]: Extracting #10: cost 13 inf + 70517 259.189 * * [simplify]: Extracting #11: cost 0 inf + 80961 259.215 * * [simplify]: Extracting #12: cost 0 inf + 80601 259.232 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) 259.232 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 259.233 * * * * [progress]: [ 306 / 5906 ] simplifiying candidate # 259.233 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 259.233 * * [simplify]: iters left: 6 (51 enodes) 259.250 * * [simplify]: iters left: 5 (244 enodes) 259.321 * * [simplify]: Extracting #0: cost 1 inf + 0 259.321 * * [simplify]: Extracting #1: cost 3 inf + 0 259.321 * * [simplify]: Extracting #2: cost 6 inf + 0 259.321 * * [simplify]: Extracting #3: cost 56 inf + 0 259.321 * * [simplify]: Extracting #4: cost 130 inf + 0 259.322 * * [simplify]: Extracting #5: cost 206 inf + 0 259.322 * * [simplify]: Extracting #6: cost 278 inf + 1052 259.325 * * [simplify]: Extracting #7: cost 191 inf + 18478 259.331 * * [simplify]: Extracting #8: cost 130 inf + 38357 259.350 * * [simplify]: Extracting #9: cost 95 inf + 51854 259.371 * * [simplify]: Extracting #10: cost 56 inf + 65073 259.397 * * [simplify]: Extracting #11: cost 34 inf + 80783 259.436 * * [simplify]: Extracting #12: cost 5 inf + 114708 259.486 * * [simplify]: Extracting #13: cost 0 inf + 123113 259.516 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 259.516 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 259.516 * * * * [progress]: [ 307 / 5906 ] simplifiying candidate # 259.517 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 259.517 * * [simplify]: iters left: 6 (52 enodes) 259.533 * * [simplify]: iters left: 5 (253 enodes) 259.615 * * [simplify]: Extracting #0: cost 1 inf + 0 259.615 * * [simplify]: Extracting #1: cost 3 inf + 0 259.616 * * [simplify]: Extracting #2: cost 6 inf + 0 259.616 * * [simplify]: Extracting #3: cost 60 inf + 0 259.616 * * [simplify]: Extracting #4: cost 153 inf + 0 259.621 * * [simplify]: Extracting #5: cost 220 inf + 44 259.624 * * [simplify]: Extracting #6: cost 249 inf + 6384 259.633 * * [simplify]: Extracting #7: cost 192 inf + 16867 259.644 * * [simplify]: Extracting #8: cost 133 inf + 35343 259.665 * * [simplify]: Extracting #9: cost 55 inf + 69083 259.694 * * [simplify]: Extracting #10: cost 33 inf + 85105 259.737 * * [simplify]: Extracting #11: cost 2 inf + 121520 259.779 * * [simplify]: Extracting #12: cost 1 inf + 123585 259.813 * * [simplify]: Extracting #13: cost 0 inf + 125650 259.840 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) 259.840 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 259.841 * * * * [progress]: [ 308 / 5906 ] simplifiying candidate # 259.841 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 259.841 * * [simplify]: iters left: 6 (52 enodes) 259.865 * * [simplify]: iters left: 5 (253 enodes) 259.951 * * [simplify]: Extracting #0: cost 1 inf + 0 259.951 * * [simplify]: Extracting #1: cost 3 inf + 0 259.951 * * [simplify]: Extracting #2: cost 6 inf + 0 259.951 * * [simplify]: Extracting #3: cost 62 inf + 0 259.952 * * [simplify]: Extracting #4: cost 151 inf + 0 259.952 * * [simplify]: Extracting #5: cost 215 inf + 86 259.954 * * [simplify]: Extracting #6: cost 250 inf + 5576 259.957 * * [simplify]: Extracting #7: cost 197 inf + 15049 259.962 * * [simplify]: Extracting #8: cost 139 inf + 32493 259.973 * * [simplify]: Extracting #9: cost 69 inf + 61586 259.990 * * [simplify]: Extracting #10: cost 48 inf + 72042 260.030 * * [simplify]: Extracting #11: cost 14 inf + 106452 260.071 * * [simplify]: Extracting #12: cost 1 inf + 122377 260.103 * * [simplify]: Extracting #13: cost 0 inf + 124482 260.152 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) 260.152 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 260.153 * * * * [progress]: [ 309 / 5906 ] simplifiying candidate # 260.153 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 260.154 * * [simplify]: iters left: 6 (46 enodes) 260.179 * * [simplify]: iters left: 5 (217 enodes) 260.244 * * [simplify]: Extracting #0: cost 1 inf + 0 260.244 * * [simplify]: Extracting #1: cost 3 inf + 0 260.244 * * [simplify]: Extracting #2: cost 6 inf + 0 260.244 * * [simplify]: Extracting #3: cost 54 inf + 0 260.245 * * [simplify]: Extracting #4: cost 119 inf + 0 260.246 * * [simplify]: Extracting #5: cost 164 inf + 44 260.247 * * [simplify]: Extracting #6: cost 223 inf + 1359 260.250 * * [simplify]: Extracting #7: cost 210 inf + 3480 260.255 * * [simplify]: Extracting #8: cost 157 inf + 13668 260.267 * * [simplify]: Extracting #9: cost 101 inf + 36613 260.285 * * [simplify]: Extracting #10: cost 47 inf + 56543 260.308 * * [simplify]: Extracting #11: cost 28 inf + 69041 260.349 * * [simplify]: Extracting #12: cost 2 inf + 98691 260.390 * * [simplify]: Extracting #13: cost 0 inf + 102381 260.431 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 260.431 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 260.432 * * * * [progress]: [ 310 / 5906 ] simplifiying candidate # 260.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 260.433 * * [simplify]: iters left: 6 (51 enodes) 260.462 * * [simplify]: iters left: 5 (245 enodes) 260.547 * * [simplify]: Extracting #0: cost 1 inf + 0 260.547 * * [simplify]: Extracting #1: cost 3 inf + 0 260.547 * * [simplify]: Extracting #2: cost 10 inf + 0 260.547 * * [simplify]: Extracting #3: cost 74 inf + 0 260.547 * * [simplify]: Extracting #4: cost 137 inf + 1 260.548 * * [simplify]: Extracting #5: cost 185 inf + 249 260.549 * * [simplify]: Extracting #6: cost 241 inf + 2417 260.557 * * [simplify]: Extracting #7: cost 170 inf + 22038 260.573 * * [simplify]: Extracting #8: cost 95 inf + 49305 260.594 * * [simplify]: Extracting #9: cost 50 inf + 65662 260.624 * * [simplify]: Extracting #10: cost 8 inf + 103072 260.656 * * [simplify]: Extracting #11: cost 1 inf + 114127 260.704 * * [simplify]: Extracting #12: cost 0 inf + 116152 260.742 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 260.742 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 260.742 * * * * [progress]: [ 311 / 5906 ] simplifiying candidate # 260.743 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 260.743 * * [simplify]: iters left: 6 (46 enodes) 260.756 * * [simplify]: iters left: 5 (217 enodes) 260.815 * * [simplify]: Extracting #0: cost 1 inf + 0 260.815 * * [simplify]: Extracting #1: cost 3 inf + 0 260.815 * * [simplify]: Extracting #2: cost 10 inf + 0 260.815 * * [simplify]: Extracting #3: cost 66 inf + 0 260.816 * * [simplify]: Extracting #4: cost 117 inf + 44 260.817 * * [simplify]: Extracting #5: cost 149 inf + 1066 260.819 * * [simplify]: Extracting #6: cost 206 inf + 3546 260.823 * * [simplify]: Extracting #7: cost 155 inf + 14390 260.832 * * [simplify]: Extracting #8: cost 124 inf + 27962 260.846 * * [simplify]: Extracting #9: cost 82 inf + 44551 260.859 * * [simplify]: Extracting #10: cost 37 inf + 61279 260.875 * * [simplify]: Extracting #11: cost 5 inf + 90506 260.912 * * [simplify]: Extracting #12: cost 0 inf + 96111 260.948 * * [simplify]: Extracting #13: cost 0 inf + 96071 260.985 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 260.985 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 260.986 * * * * [progress]: [ 312 / 5906 ] simplifiying candidate # 260.987 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 260.987 * * [simplify]: iters left: 6 (51 enodes) 261.012 * * [simplify]: iters left: 5 (245 enodes) 261.091 * * [simplify]: Extracting #0: cost 1 inf + 0 261.091 * * [simplify]: Extracting #1: cost 3 inf + 0 261.091 * * [simplify]: Extracting #2: cost 10 inf + 0 261.091 * * [simplify]: Extracting #3: cost 74 inf + 0 261.092 * * [simplify]: Extracting #4: cost 137 inf + 1 261.093 * * [simplify]: Extracting #5: cost 186 inf + 207 261.095 * * [simplify]: Extracting #6: cost 240 inf + 2739 261.102 * * [simplify]: Extracting #7: cost 165 inf + 24174 261.118 * * [simplify]: Extracting #8: cost 99 inf + 48036 261.139 * * [simplify]: Extracting #9: cost 53 inf + 64467 261.167 * * [simplify]: Extracting #10: cost 23 inf + 87657 261.203 * * [simplify]: Extracting #11: cost 2 inf + 111822 261.230 * * [simplify]: Extracting #12: cost 0 inf + 114792 261.262 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 261.262 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 261.263 * * * * [progress]: [ 313 / 5906 ] simplifiying candidate # 261.263 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 261.264 * * [simplify]: iters left: 6 (46 enodes) 261.276 * * [simplify]: iters left: 5 (217 enodes) 261.351 * * [simplify]: Extracting #0: cost 1 inf + 0 261.351 * * [simplify]: Extracting #1: cost 3 inf + 0 261.351 * * [simplify]: Extracting #2: cost 10 inf + 0 261.351 * * [simplify]: Extracting #3: cost 65 inf + 0 261.351 * * [simplify]: Extracting #4: cost 117 inf + 44 261.352 * * [simplify]: Extracting #5: cost 150 inf + 904 261.353 * * [simplify]: Extracting #6: cost 210 inf + 3138 261.354 * * [simplify]: Extracting #7: cost 187 inf + 7682 261.357 * * [simplify]: Extracting #8: cost 149 inf + 15725 261.365 * * [simplify]: Extracting #9: cost 96 inf + 37228 261.384 * * [simplify]: Extracting #10: cost 45 inf + 57256 261.402 * * [simplify]: Extracting #11: cost 14 inf + 83081 261.430 * * [simplify]: Extracting #12: cost 0 inf + 96751 261.454 * * [simplify]: Extracting #13: cost 0 inf + 96471 261.487 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 261.487 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 261.488 * * * * [progress]: [ 314 / 5906 ] simplifiying candidate # 261.489 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 261.489 * * [simplify]: iters left: 6 (47 enodes) 261.515 * * [simplify]: iters left: 5 (226 enodes) 261.570 * * [simplify]: Extracting #0: cost 1 inf + 0 261.570 * * [simplify]: Extracting #1: cost 3 inf + 0 261.570 * * [simplify]: Extracting #2: cost 6 inf + 0 261.570 * * [simplify]: Extracting #3: cost 54 inf + 0 261.570 * * [simplify]: Extracting #4: cost 123 inf + 0 261.571 * * [simplify]: Extracting #5: cost 188 inf + 0 261.571 * * [simplify]: Extracting #6: cost 254 inf + 1138 261.573 * * [simplify]: Extracting #7: cost 225 inf + 8197 261.575 * * [simplify]: Extracting #8: cost 162 inf + 19377 261.584 * * [simplify]: Extracting #9: cost 107 inf + 33049 261.601 * * [simplify]: Extracting #10: cost 63 inf + 52537 261.625 * * [simplify]: Extracting #11: cost 36 inf + 71575 261.650 * * [simplify]: Extracting #12: cost 4 inf + 101375 261.671 * * [simplify]: Extracting #13: cost 1 inf + 105730 261.696 * * [simplify]: Extracting #14: cost 0 inf + 107435 261.718 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 261.718 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 261.719 * * * * [progress]: [ 315 / 5906 ] simplifiying candidate # 261.719 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 261.719 * * [simplify]: iters left: 6 (48 enodes) 261.740 * * [simplify]: iters left: 5 (235 enodes) 261.812 * * [simplify]: Extracting #0: cost 1 inf + 0 261.812 * * [simplify]: Extracting #1: cost 3 inf + 0 261.812 * * [simplify]: Extracting #2: cost 6 inf + 0 261.812 * * [simplify]: Extracting #3: cost 58 inf + 0 261.813 * * [simplify]: Extracting #4: cost 146 inf + 0 261.813 * * [simplify]: Extracting #5: cost 196 inf + 454 261.814 * * [simplify]: Extracting #6: cost 236 inf + 4359 261.817 * * [simplify]: Extracting #7: cost 215 inf + 10410 261.824 * * [simplify]: Extracting #8: cost 168 inf + 20156 261.834 * * [simplify]: Extracting #9: cost 105 inf + 38085 261.844 * * [simplify]: Extracting #10: cost 51 inf + 64562 261.865 * * [simplify]: Extracting #11: cost 8 inf + 103652 261.908 * * [simplify]: Extracting #12: cost 0 inf + 110612 261.954 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 261.954 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 261.956 * * * * [progress]: [ 316 / 5906 ] simplifiying candidate # 261.956 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 261.957 * * [simplify]: iters left: 6 (48 enodes) 261.983 * * [simplify]: iters left: 5 (235 enodes) 262.085 * * [simplify]: Extracting #0: cost 1 inf + 0 262.085 * * [simplify]: Extracting #1: cost 3 inf + 0 262.085 * * [simplify]: Extracting #2: cost 6 inf + 0 262.086 * * [simplify]: Extracting #3: cost 60 inf + 0 262.086 * * [simplify]: Extracting #4: cost 144 inf + 0 262.091 * * [simplify]: Extracting #5: cost 193 inf + 332 262.094 * * [simplify]: Extracting #6: cost 234 inf + 4155 262.098 * * [simplify]: Extracting #7: cost 214 inf + 10175 262.104 * * [simplify]: Extracting #8: cost 175 inf + 16809 262.116 * * [simplify]: Extracting #9: cost 103 inf + 38781 262.139 * * [simplify]: Extracting #10: cost 41 inf + 70910 262.174 * * [simplify]: Extracting #11: cost 5 inf + 103679 262.210 * * [simplify]: Extracting #12: cost 0 inf + 108284 262.233 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 262.233 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 262.234 * * * * [progress]: [ 317 / 5906 ] simplifiying candidate # 262.234 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 262.235 * * [simplify]: iters left: 6 (42 enodes) 262.259 * * [simplify]: iters left: 5 (199 enodes) 262.321 * * [simplify]: Extracting #0: cost 1 inf + 0 262.321 * * [simplify]: Extracting #1: cost 3 inf + 0 262.321 * * [simplify]: Extracting #2: cost 6 inf + 0 262.321 * * [simplify]: Extracting #3: cost 55 inf + 0 262.321 * * [simplify]: Extracting #4: cost 117 inf + 0 262.322 * * [simplify]: Extracting #5: cost 151 inf + 44 262.322 * * [simplify]: Extracting #6: cost 207 inf + 1072 262.324 * * [simplify]: Extracting #7: cost 202 inf + 2939 262.327 * * [simplify]: Extracting #8: cost 167 inf + 7805 262.336 * * [simplify]: Extracting #9: cost 109 inf + 28016 262.365 * * [simplify]: Extracting #10: cost 12 inf + 84509 262.387 * * [simplify]: Extracting #11: cost 0 inf + 91628 262.407 * * [simplify]: Extracting #12: cost 0 inf + 91348 262.430 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 262.430 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 262.431 * * * * [progress]: [ 318 / 5906 ] simplifiying candidate # 262.432 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 262.432 * * [simplify]: iters left: 6 (47 enodes) 262.455 * * [simplify]: iters left: 5 (227 enodes) 262.530 * * [simplify]: Extracting #0: cost 1 inf + 0 262.530 * * [simplify]: Extracting #1: cost 3 inf + 0 262.530 * * [simplify]: Extracting #2: cost 10 inf + 0 262.530 * * [simplify]: Extracting #3: cost 72 inf + 0 262.531 * * [simplify]: Extracting #4: cost 129 inf + 42 262.532 * * [simplify]: Extracting #5: cost 165 inf + 331 262.533 * * [simplify]: Extracting #6: cost 219 inf + 2729 262.537 * * [simplify]: Extracting #7: cost 206 inf + 7195 262.543 * * [simplify]: Extracting #8: cost 139 inf + 22194 262.557 * * [simplify]: Extracting #9: cost 69 inf + 47424 262.572 * * [simplify]: Extracting #10: cost 34 inf + 69388 262.590 * * [simplify]: Extracting #11: cost 5 inf + 94789 262.622 * * [simplify]: Extracting #12: cost 1 inf + 101529 262.647 * * [simplify]: Extracting #13: cost 0 inf + 103274 262.673 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))))))) 262.673 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 262.674 * * * * [progress]: [ 319 / 5906 ] simplifiying candidate # 262.674 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 262.674 * * [simplify]: iters left: 6 (42 enodes) 262.686 * * [simplify]: iters left: 5 (199 enodes) 262.747 * * [simplify]: Extracting #0: cost 1 inf + 0 262.747 * * [simplify]: Extracting #1: cost 3 inf + 0 262.747 * * [simplify]: Extracting #2: cost 10 inf + 0 262.747 * * [simplify]: Extracting #3: cost 67 inf + 0 262.747 * * [simplify]: Extracting #4: cost 121 inf + 86 262.748 * * [simplify]: Extracting #5: cost 139 inf + 1554 262.749 * * [simplify]: Extracting #6: cost 200 inf + 2932 262.750 * * [simplify]: Extracting #7: cost 206 inf + 3100 262.756 * * [simplify]: Extracting #8: cost 121 inf + 26079 262.778 * * [simplify]: Extracting #9: cost 29 inf + 75307 262.797 * * [simplify]: Extracting #10: cost 4 inf + 90063 262.828 * * [simplify]: Extracting #11: cost 0 inf + 91413 262.865 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 262.866 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 262.867 * * * * [progress]: [ 320 / 5906 ] simplifiying candidate # 262.867 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 262.868 * * [simplify]: iters left: 6 (47 enodes) 262.898 * * [simplify]: iters left: 5 (227 enodes) 262.991 * * [simplify]: Extracting #0: cost 1 inf + 0 262.991 * * [simplify]: Extracting #1: cost 3 inf + 0 262.992 * * [simplify]: Extracting #2: cost 10 inf + 0 262.992 * * [simplify]: Extracting #3: cost 72 inf + 0 262.992 * * [simplify]: Extracting #4: cost 129 inf + 42 262.993 * * [simplify]: Extracting #5: cost 164 inf + 494 262.995 * * [simplify]: Extracting #6: cost 213 inf + 4061 262.998 * * [simplify]: Extracting #7: cost 210 inf + 5794 263.004 * * [simplify]: Extracting #8: cost 139 inf + 23124 263.018 * * [simplify]: Extracting #9: cost 66 inf + 50677 263.042 * * [simplify]: Extracting #10: cost 34 inf + 73368 263.060 * * [simplify]: Extracting #11: cost 5 inf + 101624 263.089 * * [simplify]: Extracting #12: cost 1 inf + 102413 263.117 * * [simplify]: Extracting #13: cost 0 inf + 103245 263.138 * * [simplify]: Extracting #14: cost 0 inf + 102954 263.180 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 263.180 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 263.181 * * * * [progress]: [ 321 / 5906 ] simplifiying candidate # 263.181 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 263.182 * * [simplify]: iters left: 6 (42 enodes) 263.205 * * [simplify]: iters left: 5 (199 enodes) 263.286 * * [simplify]: Extracting #0: cost 1 inf + 0 263.286 * * [simplify]: Extracting #1: cost 3 inf + 0 263.286 * * [simplify]: Extracting #2: cost 10 inf + 0 263.286 * * [simplify]: Extracting #3: cost 66 inf + 0 263.287 * * [simplify]: Extracting #4: cost 122 inf + 44 263.287 * * [simplify]: Extracting #5: cost 145 inf + 782 263.289 * * [simplify]: Extracting #6: cost 201 inf + 2770 263.291 * * [simplify]: Extracting #7: cost 205 inf + 3141 263.299 * * [simplify]: Extracting #8: cost 121 inf + 26183 263.320 * * [simplify]: Extracting #9: cost 33 inf + 74232 263.343 * * [simplify]: Extracting #10: cost 5 inf + 89979 263.382 * * [simplify]: Extracting #11: cost 0 inf + 91813 263.408 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 263.408 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 263.409 * * * * [progress]: [ 322 / 5906 ] simplifiying candidate # 263.409 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 263.409 * * [simplify]: iters left: 6 (51 enodes) 263.423 * * [simplify]: iters left: 5 (244 enodes) 263.506 * * [simplify]: Extracting #0: cost 1 inf + 0 263.506 * * [simplify]: Extracting #1: cost 3 inf + 0 263.506 * * [simplify]: Extracting #2: cost 6 inf + 0 263.507 * * [simplify]: Extracting #3: cost 56 inf + 0 263.507 * * [simplify]: Extracting #4: cost 130 inf + 0 263.508 * * [simplify]: Extracting #5: cost 207 inf + 0 263.510 * * [simplify]: Extracting #6: cost 276 inf + 1476 263.513 * * [simplify]: Extracting #7: cost 195 inf + 16446 263.519 * * [simplify]: Extracting #8: cost 132 inf + 38980 263.529 * * [simplify]: Extracting #9: cost 94 inf + 51694 263.540 * * [simplify]: Extracting #10: cost 55 inf + 65498 263.565 * * [simplify]: Extracting #11: cost 34 inf + 80703 263.588 * * [simplify]: Extracting #12: cost 5 inf + 114708 263.633 * * [simplify]: Extracting #13: cost 0 inf + 123113 263.681 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 263.681 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 263.682 * * * * [progress]: [ 323 / 5906 ] simplifiying candidate # 263.683 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 263.684 * * [simplify]: iters left: 6 (52 enodes) 263.704 * * [simplify]: iters left: 5 (253 enodes) 263.787 * * [simplify]: Extracting #0: cost 1 inf + 0 263.787 * * [simplify]: Extracting #1: cost 3 inf + 0 263.787 * * [simplify]: Extracting #2: cost 6 inf + 0 263.787 * * [simplify]: Extracting #3: cost 60 inf + 0 263.787 * * [simplify]: Extracting #4: cost 153 inf + 0 263.788 * * [simplify]: Extracting #5: cost 221 inf + 44 263.790 * * [simplify]: Extracting #6: cost 250 inf + 6142 263.793 * * [simplify]: Extracting #7: cost 193 inf + 16665 263.799 * * [simplify]: Extracting #8: cost 130 inf + 36394 263.811 * * [simplify]: Extracting #9: cost 55 inf + 69203 263.828 * * [simplify]: Extracting #10: cost 35 inf + 83295 263.852 * * [simplify]: Extracting #11: cost 2 inf + 121680 263.877 * * [simplify]: Extracting #12: cost 1 inf + 123745 263.902 * * [simplify]: Extracting #13: cost 0 inf + 125810 263.943 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 263.943 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 263.944 * * * * [progress]: [ 324 / 5906 ] simplifiying candidate # 263.945 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 263.945 * * [simplify]: iters left: 6 (52 enodes) 263.967 * * [simplify]: iters left: 5 (253 enodes) 264.055 * * [simplify]: Extracting #0: cost 1 inf + 0 264.055 * * [simplify]: Extracting #1: cost 3 inf + 0 264.055 * * [simplify]: Extracting #2: cost 6 inf + 0 264.055 * * [simplify]: Extracting #3: cost 62 inf + 0 264.055 * * [simplify]: Extracting #4: cost 151 inf + 0 264.056 * * [simplify]: Extracting #5: cost 216 inf + 86 264.060 * * [simplify]: Extracting #6: cost 249 inf + 5657 264.063 * * [simplify]: Extracting #7: cost 199 inf + 14365 264.068 * * [simplify]: Extracting #8: cost 139 inf + 30974 264.085 * * [simplify]: Extracting #9: cost 64 inf + 63573 264.112 * * [simplify]: Extracting #10: cost 34 inf + 82752 264.153 * * [simplify]: Extracting #11: cost 2 inf + 119192 264.188 * * [simplify]: Extracting #12: cost 1 inf + 121257 264.214 * * [simplify]: Extracting #13: cost 0 inf + 123322 264.244 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 264.244 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 264.245 * * * * [progress]: [ 325 / 5906 ] simplifiying candidate # 264.246 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 264.246 * * [simplify]: iters left: 6 (46 enodes) 264.271 * * [simplify]: iters left: 5 (217 enodes) 264.340 * * [simplify]: Extracting #0: cost 1 inf + 0 264.340 * * [simplify]: Extracting #1: cost 3 inf + 0 264.340 * * [simplify]: Extracting #2: cost 6 inf + 0 264.340 * * [simplify]: Extracting #3: cost 54 inf + 0 264.341 * * [simplify]: Extracting #4: cost 119 inf + 0 264.341 * * [simplify]: Extracting #5: cost 165 inf + 44 264.342 * * [simplify]: Extracting #6: cost 223 inf + 1278 264.344 * * [simplify]: Extracting #7: cost 195 inf + 6067 264.346 * * [simplify]: Extracting #8: cost 153 inf + 14636 264.353 * * [simplify]: Extracting #9: cost 98 inf + 37266 264.366 * * [simplify]: Extracting #10: cost 48 inf + 56491 264.386 * * [simplify]: Extracting #11: cost 27 inf + 70386 264.411 * * [simplify]: Extracting #12: cost 2 inf + 98851 264.436 * * [simplify]: Extracting #13: cost 0 inf + 102541 264.480 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))) 264.480 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 264.481 * * * * [progress]: [ 326 / 5906 ] simplifiying candidate # 264.482 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 264.482 * * [simplify]: iters left: 6 (51 enodes) 264.507 * * [simplify]: iters left: 5 (245 enodes) 264.588 * * [simplify]: Extracting #0: cost 1 inf + 0 264.588 * * [simplify]: Extracting #1: cost 3 inf + 0 264.588 * * [simplify]: Extracting #2: cost 10 inf + 0 264.589 * * [simplify]: Extracting #3: cost 74 inf + 0 264.589 * * [simplify]: Extracting #4: cost 137 inf + 1 264.590 * * [simplify]: Extracting #5: cost 186 inf + 249 264.592 * * [simplify]: Extracting #6: cost 241 inf + 2417 264.599 * * [simplify]: Extracting #7: cost 171 inf + 20632 264.612 * * [simplify]: Extracting #8: cost 124 inf + 39442 264.628 * * [simplify]: Extracting #9: cost 91 inf + 50329 264.649 * * [simplify]: Extracting #10: cost 51 inf + 66157 264.681 * * [simplify]: Extracting #11: cost 10 inf + 101782 264.705 * * [simplify]: Extracting #12: cost 0 inf + 116352 264.746 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 264.746 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 264.747 * * * * [progress]: [ 327 / 5906 ] simplifiying candidate # 264.747 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 264.748 * * [simplify]: iters left: 6 (46 enodes) 264.761 * * [simplify]: iters left: 5 (217 enodes) 264.847 * * [simplify]: Extracting #0: cost 1 inf + 0 264.847 * * [simplify]: Extracting #1: cost 3 inf + 0 264.847 * * [simplify]: Extracting #2: cost 10 inf + 0 264.847 * * [simplify]: Extracting #3: cost 66 inf + 0 264.848 * * [simplify]: Extracting #4: cost 117 inf + 44 264.849 * * [simplify]: Extracting #5: cost 153 inf + 700 264.851 * * [simplify]: Extracting #6: cost 211 inf + 2976 264.854 * * [simplify]: Extracting #7: cost 187 inf + 7602 264.860 * * [simplify]: Extracting #8: cost 149 inf + 16449 264.874 * * [simplify]: Extracting #9: cost 99 inf + 34597 264.893 * * [simplify]: Extracting #10: cost 42 inf + 58114 264.911 * * [simplify]: Extracting #11: cost 21 inf + 73226 264.929 * * [simplify]: Extracting #12: cost 2 inf + 92821 264.951 * * [simplify]: Extracting #13: cost 0 inf + 96311 264.971 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) 264.971 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 264.971 * * * * [progress]: [ 328 / 5906 ] simplifiying candidate # 264.972 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 264.972 * * [simplify]: iters left: 6 (51 enodes) 265.003 * * [simplify]: iters left: 5 (245 enodes) 265.093 * * [simplify]: Extracting #0: cost 1 inf + 0 265.093 * * [simplify]: Extracting #1: cost 3 inf + 0 265.093 * * [simplify]: Extracting #2: cost 10 inf + 0 265.093 * * [simplify]: Extracting #3: cost 74 inf + 0 265.094 * * [simplify]: Extracting #4: cost 137 inf + 1 265.095 * * [simplify]: Extracting #5: cost 187 inf + 207 265.097 * * [simplify]: Extracting #6: cost 240 inf + 2739 265.104 * * [simplify]: Extracting #7: cost 165 inf + 22770 265.117 * * [simplify]: Extracting #8: cost 124 inf + 40242 265.136 * * [simplify]: Extracting #9: cost 93 inf + 49838 265.147 * * [simplify]: Extracting #10: cost 55 inf + 64097 265.162 * * [simplify]: Extracting #11: cost 25 inf + 86127 265.207 * * [simplify]: Extracting #12: cost 0 inf + 114992 265.254 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 265.254 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 265.255 * * * * [progress]: [ 329 / 5906 ] simplifiying candidate # 265.255 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 265.256 * * [simplify]: iters left: 6 (46 enodes) 265.280 * * [simplify]: iters left: 5 (217 enodes) 265.372 * * [simplify]: Extracting #0: cost 1 inf + 0 265.372 * * [simplify]: Extracting #1: cost 3 inf + 0 265.373 * * [simplify]: Extracting #2: cost 10 inf + 0 265.373 * * [simplify]: Extracting #3: cost 65 inf + 0 265.373 * * [simplify]: Extracting #4: cost 117 inf + 44 265.374 * * [simplify]: Extracting #5: cost 151 inf + 904 265.376 * * [simplify]: Extracting #6: cost 210 inf + 3138 265.378 * * [simplify]: Extracting #7: cost 187 inf + 7682 265.381 * * [simplify]: Extracting #8: cost 147 inf + 17093 265.386 * * [simplify]: Extracting #9: cost 97 inf + 35827 265.396 * * [simplify]: Extracting #10: cost 43 inf + 58129 265.413 * * [simplify]: Extracting #11: cost 21 inf + 73306 265.445 * * [simplify]: Extracting #12: cost 2 inf + 92501 265.466 * * [simplify]: Extracting #13: cost 0 inf + 95911 265.500 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) 265.500 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 265.501 * * * * [progress]: [ 330 / 5906 ] simplifiying candidate # 265.501 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 265.502 * * [simplify]: iters left: 6 (48 enodes) 265.515 * * [simplify]: iters left: 5 (228 enodes) 265.607 * * [simplify]: Extracting #0: cost 1 inf + 0 265.607 * * [simplify]: Extracting #1: cost 3 inf + 0 265.607 * * [simplify]: Extracting #2: cost 6 inf + 0 265.608 * * [simplify]: Extracting #3: cost 48 inf + 0 265.608 * * [simplify]: Extracting #4: cost 112 inf + 0 265.609 * * [simplify]: Extracting #5: cost 178 inf + 0 265.610 * * [simplify]: Extracting #6: cost 253 inf + 342 265.612 * * [simplify]: Extracting #7: cost 217 inf + 7216 265.616 * * [simplify]: Extracting #8: cost 123 inf + 28901 265.625 * * [simplify]: Extracting #9: cost 51 inf + 54623 265.643 * * [simplify]: Extracting #10: cost 15 inf + 85089 265.664 * * [simplify]: Extracting #11: cost 1 inf + 101039 265.701 * * [simplify]: Extracting #12: cost 0 inf + 102784 265.741 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 265.742 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 265.743 * * * * [progress]: [ 331 / 5906 ] simplifiying candidate # 265.743 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 265.744 * * [simplify]: iters left: 6 (49 enodes) 265.758 * * [simplify]: iters left: 5 (237 enodes) 265.845 * * [simplify]: Extracting #0: cost 1 inf + 0 265.845 * * [simplify]: Extracting #1: cost 3 inf + 0 265.845 * * [simplify]: Extracting #2: cost 6 inf + 0 265.846 * * [simplify]: Extracting #3: cost 52 inf + 0 265.846 * * [simplify]: Extracting #4: cost 135 inf + 0 265.847 * * [simplify]: Extracting #5: cost 191 inf + 85 265.849 * * [simplify]: Extracting #6: cost 217 inf + 6306 265.854 * * [simplify]: Extracting #7: cost 193 inf + 13162 265.864 * * [simplify]: Extracting #8: cost 128 inf + 31139 265.873 * * [simplify]: Extracting #9: cost 72 inf + 52232 265.895 * * [simplify]: Extracting #10: cost 7 inf + 97706 265.925 * * [simplify]: Extracting #11: cost 0 inf + 104561 265.953 * * [simplify]: Extracting #12: cost 0 inf + 104401 265.987 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 265.987 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 265.988 * * * * [progress]: [ 332 / 5906 ] simplifiying candidate # 265.988 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 265.989 * * [simplify]: iters left: 6 (49 enodes) 266.002 * * [simplify]: iters left: 5 (237 enodes) 266.105 * * [simplify]: Extracting #0: cost 1 inf + 0 266.105 * * [simplify]: Extracting #1: cost 3 inf + 0 266.105 * * [simplify]: Extracting #2: cost 6 inf + 0 266.105 * * [simplify]: Extracting #3: cost 54 inf + 0 266.106 * * [simplify]: Extracting #4: cost 133 inf + 0 266.107 * * [simplify]: Extracting #5: cost 186 inf + 166 266.109 * * [simplify]: Extracting #6: cost 215 inf + 6221 266.114 * * [simplify]: Extracting #7: cost 192 inf + 13246 266.125 * * [simplify]: Extracting #8: cost 110 inf + 34861 266.147 * * [simplify]: Extracting #9: cost 47 inf + 58812 266.180 * * [simplify]: Extracting #10: cost 7 inf + 93658 266.201 * * [simplify]: Extracting #11: cost 0 inf + 102113 266.235 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 266.235 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 266.236 * * * * [progress]: [ 333 / 5906 ] simplifiying candidate # 266.237 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 266.238 * * [simplify]: iters left: 6 (43 enodes) 266.264 * * [simplify]: iters left: 5 (200 enodes) 266.348 * * [simplify]: Extracting #0: cost 1 inf + 0 266.348 * * [simplify]: Extracting #1: cost 3 inf + 0 266.348 * * [simplify]: Extracting #2: cost 6 inf + 0 266.349 * * [simplify]: Extracting #3: cost 46 inf + 0 266.349 * * [simplify]: Extracting #4: cost 101 inf + 0 266.350 * * [simplify]: Extracting #5: cost 136 inf + 44 266.351 * * [simplify]: Extracting #6: cost 191 inf + 1682 266.353 * * [simplify]: Extracting #7: cost 186 inf + 3919 266.361 * * [simplify]: Extracting #8: cost 108 inf + 23228 266.385 * * [simplify]: Extracting #9: cost 30 inf + 65963 266.421 * * [simplify]: Extracting #10: cost 2 inf + 83908 266.455 * * [simplify]: Extracting #11: cost 0 inf + 83212 266.490 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) 266.490 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 266.491 * * * * [progress]: [ 334 / 5906 ] simplifiying candidate # 266.492 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 266.492 * * [simplify]: iters left: 6 (48 enodes) 266.512 * * [simplify]: iters left: 5 (228 enodes) 266.596 * * [simplify]: Extracting #0: cost 1 inf + 0 266.596 * * [simplify]: Extracting #1: cost 3 inf + 0 266.597 * * [simplify]: Extracting #2: cost 10 inf + 0 266.597 * * [simplify]: Extracting #3: cost 62 inf + 0 266.597 * * [simplify]: Extracting #4: cost 115 inf + 42 266.598 * * [simplify]: Extracting #5: cost 155 inf + 207 266.600 * * [simplify]: Extracting #6: cost 210 inf + 2411 266.603 * * [simplify]: Extracting #7: cost 187 inf + 9960 266.609 * * [simplify]: Extracting #8: cost 147 inf + 16315 266.620 * * [simplify]: Extracting #9: cost 86 inf + 37603 266.639 * * [simplify]: Extracting #10: cost 34 inf + 60498 266.669 * * [simplify]: Extracting #11: cost 11 inf + 83433 266.708 * * [simplify]: Extracting #12: cost 0 inf + 96428 266.744 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 266.744 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 266.745 * * * * [progress]: [ 335 / 5906 ] simplifiying candidate # 266.745 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 266.745 * * [simplify]: iters left: 6 (43 enodes) 266.757 * * [simplify]: iters left: 5 (200 enodes) 266.828 * * [simplify]: Extracting #0: cost 1 inf + 0 266.828 * * [simplify]: Extracting #1: cost 3 inf + 0 266.828 * * [simplify]: Extracting #2: cost 10 inf + 0 266.828 * * [simplify]: Extracting #3: cost 54 inf + 0 266.828 * * [simplify]: Extracting #4: cost 95 inf + 86 266.829 * * [simplify]: Extracting #5: cost 117 inf + 1349 266.830 * * [simplify]: Extracting #6: cost 179 inf + 2934 266.831 * * [simplify]: Extracting #7: cost 181 inf + 4039 266.834 * * [simplify]: Extracting #8: cost 112 inf + 20034 266.843 * * [simplify]: Extracting #9: cost 48 inf + 44455 266.861 * * [simplify]: Extracting #10: cost 7 inf + 73720 266.891 * * [simplify]: Extracting #11: cost 0 inf + 78387 266.907 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 266.908 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 266.908 * * * * [progress]: [ 336 / 5906 ] simplifiying candidate # 266.908 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 266.909 * * [simplify]: iters left: 6 (48 enodes) 266.922 * * [simplify]: iters left: 5 (228 enodes) 266.998 * * [simplify]: Extracting #0: cost 1 inf + 0 266.998 * * [simplify]: Extracting #1: cost 3 inf + 0 266.998 * * [simplify]: Extracting #2: cost 10 inf + 0 266.998 * * [simplify]: Extracting #3: cost 62 inf + 0 266.999 * * [simplify]: Extracting #4: cost 115 inf + 42 267.000 * * [simplify]: Extracting #5: cost 154 inf + 249 267.001 * * [simplify]: Extracting #6: cost 211 inf + 2611 267.005 * * [simplify]: Extracting #7: cost 188 inf + 10079 267.010 * * [simplify]: Extracting #8: cost 145 inf + 16939 267.021 * * [simplify]: Extracting #9: cost 86 inf + 37742 267.041 * * [simplify]: Extracting #10: cost 34 inf + 61298 267.065 * * [simplify]: Extracting #11: cost 11 inf + 84233 267.086 * * [simplify]: Extracting #12: cost 0 inf + 97228 267.120 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 267.120 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 267.121 * * * * [progress]: [ 337 / 5906 ] simplifiying candidate # 267.122 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 267.122 * * [simplify]: iters left: 6 (43 enodes) 267.146 * * [simplify]: iters left: 5 (200 enodes) 267.202 * * [simplify]: Extracting #0: cost 1 inf + 0 267.202 * * [simplify]: Extracting #1: cost 3 inf + 0 267.202 * * [simplify]: Extracting #2: cost 10 inf + 0 267.203 * * [simplify]: Extracting #3: cost 53 inf + 0 267.203 * * [simplify]: Extracting #4: cost 96 inf + 44 267.204 * * [simplify]: Extracting #5: cost 119 inf + 1104 267.205 * * [simplify]: Extracting #6: cost 179 inf + 2934 267.208 * * [simplify]: Extracting #7: cost 176 inf + 4607 267.214 * * [simplify]: Extracting #8: cost 106 inf + 21486 267.231 * * [simplify]: Extracting #9: cost 45 inf + 45753 267.255 * * [simplify]: Extracting #10: cost 8 inf + 73908 267.286 * * [simplify]: Extracting #11: cost 0 inf + 78707 267.320 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 267.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 267.321 * * * * [progress]: [ 338 / 5906 ] simplifiying candidate # 267.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 267.322 * * [simplify]: iters left: 6 (52 enodes) 267.337 * * [simplify]: iters left: 5 (254 enodes) 267.407 * * [simplify]: Extracting #0: cost 1 inf + 0 267.407 * * [simplify]: Extracting #1: cost 3 inf + 0 267.407 * * [simplify]: Extracting #2: cost 6 inf + 0 267.407 * * [simplify]: Extracting #3: cost 56 inf + 0 267.407 * * [simplify]: Extracting #4: cost 130 inf + 0 267.408 * * [simplify]: Extracting #5: cost 210 inf + 0 267.409 * * [simplify]: Extracting #6: cost 302 inf + 1051 267.411 * * [simplify]: Extracting #7: cost 244 inf + 12873 267.415 * * [simplify]: Extracting #8: cost 161 inf + 30124 267.424 * * [simplify]: Extracting #9: cost 102 inf + 51829 267.436 * * [simplify]: Extracting #10: cost 53 inf + 73185 267.459 * * [simplify]: Extracting #11: cost 18 inf + 109140 267.489 * * [simplify]: Extracting #12: cost 1 inf + 127925 267.539 * * [simplify]: Extracting #13: cost 0 inf + 129910 267.569 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 267.569 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 267.570 * * * * [progress]: [ 339 / 5906 ] simplifiying candidate # 267.570 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 267.570 * * [simplify]: iters left: 6 (53 enodes) 267.586 * * [simplify]: iters left: 5 (263 enodes) 267.678 * * [simplify]: Extracting #0: cost 1 inf + 0 267.678 * * [simplify]: Extracting #1: cost 3 inf + 0 267.678 * * [simplify]: Extracting #2: cost 6 inf + 0 267.679 * * [simplify]: Extracting #3: cost 60 inf + 0 267.679 * * [simplify]: Extracting #4: cost 153 inf + 0 267.680 * * [simplify]: Extracting #5: cost 224 inf + 44 267.683 * * [simplify]: Extracting #6: cost 283 inf + 4123 267.688 * * [simplify]: Extracting #7: cost 235 inf + 14864 267.700 * * [simplify]: Extracting #8: cost 145 inf + 37314 267.715 * * [simplify]: Extracting #9: cost 62 inf + 72461 267.738 * * [simplify]: Extracting #10: cost 8 inf + 125087 267.773 * * [simplify]: Extracting #11: cost 0 inf + 135967 267.802 * [simplify]: Simplified to (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 267.802 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 267.802 * * * * [progress]: [ 340 / 5906 ] simplifiying candidate # 267.803 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 267.803 * * [simplify]: iters left: 6 (53 enodes) 267.828 * * [simplify]: iters left: 5 (263 enodes) 267.907 * * [simplify]: Extracting #0: cost 1 inf + 0 267.907 * * [simplify]: Extracting #1: cost 3 inf + 0 267.907 * * [simplify]: Extracting #2: cost 6 inf + 0 267.908 * * [simplify]: Extracting #3: cost 62 inf + 0 267.908 * * [simplify]: Extracting #4: cost 151 inf + 0 267.908 * * [simplify]: Extracting #5: cost 220 inf + 44 267.910 * * [simplify]: Extracting #6: cost 278 inf + 4163 267.913 * * [simplify]: Extracting #7: cost 240 inf + 13938 267.921 * * [simplify]: Extracting #8: cost 151 inf + 35963 267.940 * * [simplify]: Extracting #9: cost 65 inf + 67436 267.967 * * [simplify]: Extracting #10: cost 7 inf + 125024 268.006 * * [simplify]: Extracting #11: cost 0 inf + 133319 268.034 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 268.034 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 268.035 * * * * [progress]: [ 341 / 5906 ] simplifiying candidate # 268.035 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 268.035 * * [simplify]: iters left: 6 (47 enodes) 268.060 * * [simplify]: iters left: 5 (227 enodes) 268.136 * * [simplify]: Extracting #0: cost 1 inf + 0 268.136 * * [simplify]: Extracting #1: cost 3 inf + 0 268.136 * * [simplify]: Extracting #2: cost 6 inf + 0 268.136 * * [simplify]: Extracting #3: cost 54 inf + 0 268.137 * * [simplify]: Extracting #4: cost 119 inf + 0 268.138 * * [simplify]: Extracting #5: cost 168 inf + 44 268.139 * * [simplify]: Extracting #6: cost 246 inf + 1399 268.142 * * [simplify]: Extracting #7: cost 219 inf + 6159 268.151 * * [simplify]: Extracting #8: cost 127 inf + 28060 268.172 * * [simplify]: Extracting #9: cost 73 inf + 48709 268.206 * * [simplify]: Extracting #10: cost 17 inf + 91935 268.250 * * [simplify]: Extracting #11: cost 1 inf + 108073 268.288 * * [simplify]: Extracting #12: cost 0 inf + 109938 268.311 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 268.311 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 268.312 * * * * [progress]: [ 342 / 5906 ] simplifiying candidate # 268.312 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 268.313 * * [simplify]: iters left: 6 (52 enodes) 268.336 * * [simplify]: iters left: 5 (255 enodes) 268.417 * * [simplify]: Extracting #0: cost 1 inf + 0 268.417 * * [simplify]: Extracting #1: cost 3 inf + 0 268.417 * * [simplify]: Extracting #2: cost 10 inf + 0 268.417 * * [simplify]: Extracting #3: cost 74 inf + 0 268.418 * * [simplify]: Extracting #4: cost 137 inf + 1 268.419 * * [simplify]: Extracting #5: cost 189 inf + 248 268.421 * * [simplify]: Extracting #6: cost 262 inf + 3261 268.425 * * [simplify]: Extracting #7: cost 237 inf + 9959 268.432 * * [simplify]: Extracting #8: cost 172 inf + 22774 268.448 * * [simplify]: Extracting #9: cost 120 inf + 38698 268.469 * * [simplify]: Extracting #10: cost 59 inf + 66428 268.507 * * [simplify]: Extracting #11: cost 11 inf + 111434 268.540 * * [simplify]: Extracting #12: cost 1 inf + 122004 268.566 * * [simplify]: Extracting #13: cost 0 inf + 123989 268.593 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 268.594 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 268.595 * * * * [progress]: [ 343 / 5906 ] simplifiying candidate # 268.595 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 268.596 * * [simplify]: iters left: 6 (47 enodes) 268.621 * * [simplify]: iters left: 5 (227 enodes) 268.690 * * [simplify]: Extracting #0: cost 1 inf + 0 268.690 * * [simplify]: Extracting #1: cost 3 inf + 0 268.690 * * [simplify]: Extracting #2: cost 10 inf + 0 268.690 * * [simplify]: Extracting #3: cost 66 inf + 0 268.691 * * [simplify]: Extracting #4: cost 117 inf + 44 268.692 * * [simplify]: Extracting #5: cost 153 inf + 1186 268.694 * * [simplify]: Extracting #6: cost 235 inf + 2974 268.697 * * [simplify]: Extracting #7: cost 230 inf + 4732 268.708 * * [simplify]: Extracting #8: cost 134 inf + 26277 268.726 * * [simplify]: Extracting #9: cost 61 inf + 56536 268.762 * * [simplify]: Extracting #10: cost 5 inf + 100556 268.803 * * [simplify]: Extracting #11: cost 1 inf + 103403 268.826 * * [simplify]: Extracting #12: cost 0 inf + 104988 268.860 * * [simplify]: Extracting #13: cost 0 inf + 104948 268.883 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 268.883 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 268.884 * * * * [progress]: [ 344 / 5906 ] simplifiying candidate # 268.884 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 268.885 * * [simplify]: iters left: 6 (52 enodes) 268.908 * * [simplify]: iters left: 5 (255 enodes) 268.991 * * [simplify]: Extracting #0: cost 1 inf + 0 268.991 * * [simplify]: Extracting #1: cost 3 inf + 0 268.991 * * [simplify]: Extracting #2: cost 10 inf + 0 268.991 * * [simplify]: Extracting #3: cost 74 inf + 0 268.992 * * [simplify]: Extracting #4: cost 137 inf + 1 268.992 * * [simplify]: Extracting #5: cost 189 inf + 248 268.994 * * [simplify]: Extracting #6: cost 269 inf + 1968 268.997 * * [simplify]: Extracting #7: cost 240 inf + 9233 269.000 * * [simplify]: Extracting #8: cost 173 inf + 22330 269.007 * * [simplify]: Extracting #9: cost 120 inf + 38858 269.019 * * [simplify]: Extracting #10: cost 58 inf + 67552 269.050 * * [simplify]: Extracting #11: cost 11 inf + 112394 269.079 * * [simplify]: Extracting #12: cost 1 inf + 122964 269.113 * * [simplify]: Extracting #13: cost 0 inf + 124949 269.139 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 269.139 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 269.139 * * * * [progress]: [ 345 / 5906 ] simplifiying candidate # 269.140 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 269.140 * * [simplify]: iters left: 6 (47 enodes) 269.154 * * [simplify]: iters left: 5 (227 enodes) 269.218 * * [simplify]: Extracting #0: cost 1 inf + 0 269.219 * * [simplify]: Extracting #1: cost 3 inf + 0 269.219 * * [simplify]: Extracting #2: cost 10 inf + 0 269.219 * * [simplify]: Extracting #3: cost 65 inf + 0 269.219 * * [simplify]: Extracting #4: cost 116 inf + 86 269.220 * * [simplify]: Extracting #5: cost 147 inf + 1958 269.221 * * [simplify]: Extracting #6: cost 235 inf + 2934 269.222 * * [simplify]: Extracting #7: cost 228 inf + 4936 269.226 * * [simplify]: Extracting #8: cost 135 inf + 25556 269.235 * * [simplify]: Extracting #9: cost 64 inf + 53986 269.265 * * [simplify]: Extracting #10: cost 11 inf + 93366 269.289 * * [simplify]: Extracting #11: cost 1 inf + 103563 269.318 * * [simplify]: Extracting #12: cost 0 inf + 105348 269.349 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 269.349 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 269.350 * * * * [progress]: [ 346 / 5906 ] simplifiying candidate # 269.350 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 269.350 * * [simplify]: iters left: 6 (52 enodes) 269.365 * * [simplify]: iters left: 5 (254 enodes) 269.474 * * [simplify]: Extracting #0: cost 1 inf + 0 269.474 * * [simplify]: Extracting #1: cost 3 inf + 0 269.474 * * [simplify]: Extracting #2: cost 6 inf + 0 269.474 * * [simplify]: Extracting #3: cost 56 inf + 0 269.475 * * [simplify]: Extracting #4: cost 130 inf + 0 269.475 * * [simplify]: Extracting #5: cost 211 inf + 0 269.476 * * [simplify]: Extracting #6: cost 294 inf + 1134 269.478 * * [simplify]: Extracting #7: cost 248 inf + 10954 269.482 * * [simplify]: Extracting #8: cost 163 inf + 28829 269.490 * * [simplify]: Extracting #9: cost 104 inf + 49107 269.512 * * [simplify]: Extracting #10: cost 52 inf + 72878 269.528 * * [simplify]: Extracting #11: cost 40 inf + 81978 269.552 * * [simplify]: Extracting #12: cost 9 inf + 118713 269.607 * * [simplify]: Extracting #13: cost 1 inf + 129873 269.658 * * [simplify]: Extracting #14: cost 0 inf + 131938 269.686 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 269.686 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 269.687 * * * * [progress]: [ 347 / 5906 ] simplifiying candidate # 269.687 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 269.687 * * [simplify]: iters left: 6 (53 enodes) 269.710 * * [simplify]: iters left: 5 (263 enodes) 269.811 * * [simplify]: Extracting #0: cost 1 inf + 0 269.811 * * [simplify]: Extracting #1: cost 3 inf + 0 269.811 * * [simplify]: Extracting #2: cost 6 inf + 0 269.812 * * [simplify]: Extracting #3: cost 60 inf + 0 269.812 * * [simplify]: Extracting #4: cost 153 inf + 0 269.813 * * [simplify]: Extracting #5: cost 225 inf + 44 269.816 * * [simplify]: Extracting #6: cost 273 inf + 4811 269.821 * * [simplify]: Extracting #7: cost 240 inf + 13003 269.830 * * [simplify]: Extracting #8: cost 153 inf + 33479 269.843 * * [simplify]: Extracting #9: cost 76 inf + 62768 269.873 * * [simplify]: Extracting #10: cost 19 inf + 113153 269.910 * * [simplify]: Extracting #11: cost 2 inf + 130785 269.941 * * [simplify]: Extracting #12: cost 0 inf + 135035 269.971 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 269.971 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 269.972 * * * * [progress]: [ 348 / 5906 ] simplifiying candidate # 269.973 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 269.973 * * [simplify]: iters left: 6 (53 enodes) 270.002 * * [simplify]: iters left: 5 (263 enodes) 270.125 * * [simplify]: Extracting #0: cost 1 inf + 0 270.126 * * [simplify]: Extracting #1: cost 3 inf + 0 270.126 * * [simplify]: Extracting #2: cost 6 inf + 0 270.126 * * [simplify]: Extracting #3: cost 62 inf + 0 270.126 * * [simplify]: Extracting #4: cost 151 inf + 0 270.128 * * [simplify]: Extracting #5: cost 221 inf + 44 270.130 * * [simplify]: Extracting #6: cost 273 inf + 4122 270.136 * * [simplify]: Extracting #7: cost 238 inf + 13571 270.146 * * [simplify]: Extracting #8: cost 147 inf + 36200 270.171 * * [simplify]: Extracting #9: cost 54 inf + 74651 270.212 * * [simplify]: Extracting #10: cost 12 inf + 117371 270.266 * * [simplify]: Extracting #11: cost 0 inf + 132387 270.317 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 270.317 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 270.318 * * * * [progress]: [ 349 / 5906 ] simplifiying candidate # 270.318 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 270.319 * * [simplify]: iters left: 6 (47 enodes) 270.344 * * [simplify]: iters left: 5 (227 enodes) 270.444 * * [simplify]: Extracting #0: cost 1 inf + 0 270.444 * * [simplify]: Extracting #1: cost 3 inf + 0 270.444 * * [simplify]: Extracting #2: cost 6 inf + 0 270.444 * * [simplify]: Extracting #3: cost 54 inf + 0 270.445 * * [simplify]: Extracting #4: cost 119 inf + 0 270.445 * * [simplify]: Extracting #5: cost 169 inf + 44 270.447 * * [simplify]: Extracting #6: cost 240 inf + 1318 270.451 * * [simplify]: Extracting #7: cost 216 inf + 6114 270.462 * * [simplify]: Extracting #8: cost 148 inf + 22703 270.477 * * [simplify]: Extracting #9: cost 102 inf + 42417 270.499 * * [simplify]: Extracting #10: cost 45 inf + 64960 270.522 * * [simplify]: Extracting #11: cost 9 inf + 96741 270.544 * * [simplify]: Extracting #12: cost 1 inf + 107301 270.581 * * [simplify]: Extracting #13: cost 0 inf + 109166 270.622 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 270.622 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 270.623 * * * * [progress]: [ 350 / 5906 ] simplifiying candidate # 270.623 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 270.624 * * [simplify]: iters left: 6 (52 enodes) 270.642 * * [simplify]: iters left: 5 (255 enodes) 270.706 * * [simplify]: Extracting #0: cost 1 inf + 0 270.706 * * [simplify]: Extracting #1: cost 3 inf + 0 270.706 * * [simplify]: Extracting #2: cost 10 inf + 0 270.706 * * [simplify]: Extracting #3: cost 74 inf + 0 270.707 * * [simplify]: Extracting #4: cost 137 inf + 1 270.707 * * [simplify]: Extracting #5: cost 191 inf + 206 270.708 * * [simplify]: Extracting #6: cost 255 inf + 3542 270.710 * * [simplify]: Extracting #7: cost 236 inf + 9129 270.713 * * [simplify]: Extracting #8: cost 172 inf + 22061 270.719 * * [simplify]: Extracting #9: cost 116 inf + 40080 270.738 * * [simplify]: Extracting #10: cost 60 inf + 64830 270.755 * * [simplify]: Extracting #11: cost 34 inf + 83527 270.790 * * [simplify]: Extracting #12: cost 4 inf + 117237 270.818 * * [simplify]: Extracting #13: cost 0 inf + 123217 270.867 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 270.867 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 270.868 * * * * [progress]: [ 351 / 5906 ] simplifiying candidate # 270.869 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 270.869 * * [simplify]: iters left: 6 (47 enodes) 270.895 * * [simplify]: iters left: 5 (227 enodes) 270.963 * * [simplify]: Extracting #0: cost 1 inf + 0 270.963 * * [simplify]: Extracting #1: cost 3 inf + 0 270.963 * * [simplify]: Extracting #2: cost 10 inf + 0 270.963 * * [simplify]: Extracting #3: cost 66 inf + 0 270.964 * * [simplify]: Extracting #4: cost 117 inf + 44 270.964 * * [simplify]: Extracting #5: cost 152 inf + 1470 270.965 * * [simplify]: Extracting #6: cost 229 inf + 2974 270.967 * * [simplify]: Extracting #7: cost 227 inf + 4527 270.971 * * [simplify]: Extracting #8: cost 137 inf + 23569 270.981 * * [simplify]: Extracting #9: cost 54 inf + 57452 271.004 * * [simplify]: Extracting #10: cost 15 inf + 88787 271.026 * * [simplify]: Extracting #11: cost 1 inf + 102551 271.052 * * [simplify]: Extracting #12: cost 0 inf + 104336 271.079 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 271.079 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 271.080 * * * * [progress]: [ 352 / 5906 ] simplifiying candidate # 271.080 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 271.081 * * [simplify]: iters left: 6 (52 enodes) 271.095 * * [simplify]: iters left: 5 (255 enodes) 271.169 * * [simplify]: Extracting #0: cost 1 inf + 0 271.169 * * [simplify]: Extracting #1: cost 3 inf + 0 271.169 * * [simplify]: Extracting #2: cost 10 inf + 0 271.170 * * [simplify]: Extracting #3: cost 74 inf + 0 271.170 * * [simplify]: Extracting #4: cost 137 inf + 1 271.171 * * [simplify]: Extracting #5: cost 191 inf + 206 271.174 * * [simplify]: Extracting #6: cost 261 inf + 2251 271.177 * * [simplify]: Extracting #7: cost 241 inf + 8000 271.184 * * [simplify]: Extracting #8: cost 169 inf + 22596 271.196 * * [simplify]: Extracting #9: cost 116 inf + 39740 271.218 * * [simplify]: Extracting #10: cost 59 inf + 65895 271.233 * * [simplify]: Extracting #11: cost 34 inf + 84487 271.259 * * [simplify]: Extracting #12: cost 4 inf + 118197 271.310 * * [simplify]: Extracting #13: cost 0 inf + 124177 271.346 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 271.347 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 271.347 * * * * [progress]: [ 353 / 5906 ] simplifiying candidate # 271.347 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 271.348 * * [simplify]: iters left: 6 (47 enodes) 271.364 * * [simplify]: iters left: 5 (227 enodes) 271.429 * * [simplify]: Extracting #0: cost 1 inf + 0 271.429 * * [simplify]: Extracting #1: cost 3 inf + 0 271.429 * * [simplify]: Extracting #2: cost 10 inf + 0 271.429 * * [simplify]: Extracting #3: cost 65 inf + 0 271.429 * * [simplify]: Extracting #4: cost 117 inf + 44 271.430 * * [simplify]: Extracting #5: cost 159 inf + 537 271.431 * * [simplify]: Extracting #6: cost 230 inf + 2772 271.432 * * [simplify]: Extracting #7: cost 225 inf + 4851 271.436 * * [simplify]: Extracting #8: cost 137 inf + 23408 271.455 * * [simplify]: Extracting #9: cost 61 inf + 55266 271.487 * * [simplify]: Extracting #10: cost 15 inf + 88736 271.513 * * [simplify]: Extracting #11: cost 1 inf + 102791 271.536 * * [simplify]: Extracting #12: cost 0 inf + 104576 271.569 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 271.570 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 271.571 * * * * [progress]: [ 354 / 5906 ] simplifiying candidate # 271.571 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 271.572 * * [simplify]: iters left: 6 (52 enodes) 271.592 * * [simplify]: iters left: 5 (254 enodes) 271.669 * * [simplify]: Extracting #0: cost 1 inf + 0 271.669 * * [simplify]: Extracting #1: cost 3 inf + 0 271.669 * * [simplify]: Extracting #2: cost 6 inf + 0 271.669 * * [simplify]: Extracting #3: cost 56 inf + 0 271.669 * * [simplify]: Extracting #4: cost 130 inf + 0 271.669 * * [simplify]: Extracting #5: cost 207 inf + 0 271.670 * * [simplify]: Extracting #6: cost 282 inf + 1745 271.672 * * [simplify]: Extracting #7: cost 216 inf + 15420 271.680 * * [simplify]: Extracting #8: cost 142 inf + 37260 271.697 * * [simplify]: Extracting #9: cost 94 inf + 54337 271.720 * * [simplify]: Extracting #10: cost 55 inf + 67408 271.733 * * [simplify]: Extracting #11: cost 40 inf + 76143 271.755 * * [simplify]: Extracting #12: cost 8 inf + 110223 271.788 * * [simplify]: Extracting #13: cost 0 inf + 122183 271.826 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 271.826 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 271.827 * * * * [progress]: [ 355 / 5906 ] simplifiying candidate # 271.827 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 271.828 * * [simplify]: iters left: 6 (53 enodes) 271.843 * * [simplify]: iters left: 5 (263 enodes) 271.931 * * [simplify]: Extracting #0: cost 1 inf + 0 271.931 * * [simplify]: Extracting #1: cost 3 inf + 0 271.931 * * [simplify]: Extracting #2: cost 6 inf + 0 271.931 * * [simplify]: Extracting #3: cost 60 inf + 0 271.932 * * [simplify]: Extracting #4: cost 153 inf + 0 271.933 * * [simplify]: Extracting #5: cost 221 inf + 44 271.935 * * [simplify]: Extracting #6: cost 261 inf + 5622 271.941 * * [simplify]: Extracting #7: cost 208 inf + 16427 271.947 * * [simplify]: Extracting #8: cost 154 inf + 33797 271.965 * * [simplify]: Extracting #9: cost 95 inf + 56782 271.983 * * [simplify]: Extracting #10: cost 49 inf + 74775 272.004 * * [simplify]: Extracting #11: cost 8 inf + 115440 272.045 * * [simplify]: Extracting #12: cost 0 inf + 124920 272.070 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 272.070 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 272.071 * * * * [progress]: [ 356 / 5906 ] simplifiying candidate # 272.071 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 272.072 * * [simplify]: iters left: 6 (53 enodes) 272.091 * * [simplify]: iters left: 5 (263 enodes) 272.180 * * [simplify]: Extracting #0: cost 1 inf + 0 272.180 * * [simplify]: Extracting #1: cost 3 inf + 0 272.180 * * [simplify]: Extracting #2: cost 6 inf + 0 272.180 * * [simplify]: Extracting #3: cost 62 inf + 0 272.180 * * [simplify]: Extracting #4: cost 151 inf + 0 272.181 * * [simplify]: Extracting #5: cost 217 inf + 44 272.182 * * [simplify]: Extracting #6: cost 261 inf + 5855 272.186 * * [simplify]: Extracting #7: cost 197 inf + 20151 272.192 * * [simplify]: Extracting #8: cost 147 inf + 37168 272.202 * * [simplify]: Extracting #9: cost 95 inf + 57753 272.218 * * [simplify]: Extracting #10: cost 51 inf + 73239 272.248 * * [simplify]: Extracting #11: cost 11 inf + 112237 272.285 * * [simplify]: Extracting #12: cost 0 inf + 123552 272.334 * * [simplify]: Extracting #13: cost 0 inf + 122912 272.380 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1))) (* (- (* phi2 phi2)) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1)))))) (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 272.381 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1))) (* (- (* phi2 phi2)) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1)))))) (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 272.382 * * * * [progress]: [ 357 / 5906 ] simplifiying candidate # 272.382 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 272.383 * * [simplify]: iters left: 6 (47 enodes) 272.407 * * [simplify]: iters left: 5 (227 enodes) 272.480 * * [simplify]: Extracting #0: cost 1 inf + 0 272.480 * * [simplify]: Extracting #1: cost 3 inf + 0 272.480 * * [simplify]: Extracting #2: cost 6 inf + 0 272.480 * * [simplify]: Extracting #3: cost 54 inf + 0 272.480 * * [simplify]: Extracting #4: cost 119 inf + 0 272.481 * * [simplify]: Extracting #5: cost 164 inf + 126 272.483 * * [simplify]: Extracting #6: cost 233 inf + 1520 272.485 * * [simplify]: Extracting #7: cost 216 inf + 5016 272.489 * * [simplify]: Extracting #8: cost 130 inf + 27574 272.501 * * [simplify]: Extracting #9: cost 43 inf + 64340 272.529 * * [simplify]: Extracting #10: cost 6 inf + 95967 272.556 * * [simplify]: Extracting #11: cost 1 inf + 100506 272.584 * * [simplify]: Extracting #12: cost 0 inf + 102371 272.625 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 272.625 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 272.626 * * * * [progress]: [ 358 / 5906 ] simplifiying candidate # 272.627 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 272.627 * * [simplify]: iters left: 6 (52 enodes) 272.655 * * [simplify]: iters left: 5 (255 enodes) 272.734 * * [simplify]: Extracting #0: cost 1 inf + 0 272.734 * * [simplify]: Extracting #1: cost 3 inf + 0 272.734 * * [simplify]: Extracting #2: cost 10 inf + 0 272.734 * * [simplify]: Extracting #3: cost 74 inf + 0 272.734 * * [simplify]: Extracting #4: cost 137 inf + 1 272.735 * * [simplify]: Extracting #5: cost 187 inf + 207 272.736 * * [simplify]: Extracting #6: cost 250 inf + 2618 272.739 * * [simplify]: Extracting #7: cost 192 inf + 18910 272.746 * * [simplify]: Extracting #8: cost 132 inf + 37767 272.755 * * [simplify]: Extracting #9: cost 88 inf + 54699 272.772 * * [simplify]: Extracting #10: cost 50 inf + 67412 272.792 * * [simplify]: Extracting #11: cost 5 inf + 107697 272.827 * * [simplify]: Extracting #12: cost 0 inf + 115342 272.852 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) 272.852 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 272.853 * * * * [progress]: [ 359 / 5906 ] simplifiying candidate # 272.853 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 272.854 * * [simplify]: iters left: 6 (47 enodes) 272.879 * * [simplify]: iters left: 5 (227 enodes) 272.948 * * [simplify]: Extracting #0: cost 1 inf + 0 272.948 * * [simplify]: Extracting #1: cost 3 inf + 0 272.948 * * [simplify]: Extracting #2: cost 10 inf + 0 272.948 * * [simplify]: Extracting #3: cost 66 inf + 0 272.949 * * [simplify]: Extracting #4: cost 116 inf + 86 272.950 * * [simplify]: Extracting #5: cost 146 inf + 1634 272.952 * * [simplify]: Extracting #6: cost 223 inf + 2934 272.955 * * [simplify]: Extracting #7: cost 217 inf + 4811 272.960 * * [simplify]: Extracting #8: cost 161 inf + 14889 272.971 * * [simplify]: Extracting #9: cost 111 inf + 33365 272.997 * * [simplify]: Extracting #10: cost 41 inf + 61658 273.029 * * [simplify]: Extracting #11: cost 2 inf + 94331 273.072 * * [simplify]: Extracting #12: cost 1 inf + 96156 273.098 * * [simplify]: Extracting #13: cost 0 inf + 97981 273.123 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 273.123 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 273.124 * * * * [progress]: [ 360 / 5906 ] simplifiying candidate # 273.125 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 273.126 * * [simplify]: iters left: 6 (52 enodes) 273.144 * * [simplify]: iters left: 5 (255 enodes) 273.217 * * [simplify]: Extracting #0: cost 1 inf + 0 273.217 * * [simplify]: Extracting #1: cost 3 inf + 0 273.217 * * [simplify]: Extracting #2: cost 10 inf + 0 273.217 * * [simplify]: Extracting #3: cost 74 inf + 0 273.218 * * [simplify]: Extracting #4: cost 137 inf + 1 273.219 * * [simplify]: Extracting #5: cost 186 inf + 248 273.221 * * [simplify]: Extracting #6: cost 255 inf + 1851 273.226 * * [simplify]: Extracting #7: cost 203 inf + 13736 273.237 * * [simplify]: Extracting #8: cost 134 inf + 36807 273.253 * * [simplify]: Extracting #9: cost 96 inf + 52859 273.276 * * [simplify]: Extracting #10: cost 53 inf + 66697 273.295 * * [simplify]: Extracting #11: cost 30 inf + 80912 273.316 * * [simplify]: Extracting #12: cost 6 inf + 109272 273.341 * * [simplify]: Extracting #13: cost 0 inf + 118862 273.383 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 273.383 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 273.384 * * * * [progress]: [ 361 / 5906 ] simplifiying candidate # 273.384 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 273.385 * * [simplify]: iters left: 6 (47 enodes) 273.411 * * [simplify]: iters left: 5 (227 enodes) 273.481 * * [simplify]: Extracting #0: cost 1 inf + 0 273.481 * * [simplify]: Extracting #1: cost 3 inf + 0 273.481 * * [simplify]: Extracting #2: cost 10 inf + 0 273.482 * * [simplify]: Extracting #3: cost 65 inf + 0 273.482 * * [simplify]: Extracting #4: cost 117 inf + 44 273.483 * * [simplify]: Extracting #5: cost 153 inf + 780 273.485 * * [simplify]: Extracting #6: cost 223 inf + 2813 273.488 * * [simplify]: Extracting #7: cost 210 inf + 5743 273.491 * * [simplify]: Extracting #8: cost 158 inf + 15775 273.497 * * [simplify]: Extracting #9: cost 101 inf + 36882 273.512 * * [simplify]: Extracting #10: cost 17 inf + 83491 273.533 * * [simplify]: Extracting #11: cost 1 inf + 96636 273.554 * * [simplify]: Extracting #12: cost 0 inf + 98461 273.574 * * [simplify]: Extracting #13: cost 0 inf + 98381 273.597 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))) 273.597 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 273.599 * * * * [progress]: [ 362 / 5906 ] simplifiying candidate # 273.599 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 273.600 * * [simplify]: iters left: 6 (51 enodes) 273.624 * * [simplify]: iters left: 5 (244 enodes) 273.687 * * [simplify]: Extracting #0: cost 1 inf + 0 273.687 * * [simplify]: Extracting #1: cost 3 inf + 0 273.687 * * [simplify]: Extracting #2: cost 6 inf + 0 273.687 * * [simplify]: Extracting #3: cost 56 inf + 0 273.687 * * [simplify]: Extracting #4: cost 130 inf + 0 273.688 * * [simplify]: Extracting #5: cost 206 inf + 0 273.690 * * [simplify]: Extracting #6: cost 275 inf + 1388 273.695 * * [simplify]: Extracting #7: cost 194 inf + 16147 273.706 * * [simplify]: Extracting #8: cost 136 inf + 36902 273.723 * * [simplify]: Extracting #9: cost 90 inf + 53233 273.744 * * [simplify]: Extracting #10: cost 56 inf + 65353 273.773 * * [simplify]: Extracting #11: cost 35 inf + 80478 273.814 * * [simplify]: Extracting #12: cost 5 inf + 114428 273.857 * * [simplify]: Extracting #13: cost 0 inf + 122633 273.883 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 273.883 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 273.883 * * * * [progress]: [ 363 / 5906 ] simplifiying candidate # 273.884 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 273.884 * * [simplify]: iters left: 6 (52 enodes) 273.912 * * [simplify]: iters left: 5 (253 enodes) 273.991 * * [simplify]: Extracting #0: cost 1 inf + 0 273.991 * * [simplify]: Extracting #1: cost 3 inf + 0 273.991 * * [simplify]: Extracting #2: cost 6 inf + 0 273.991 * * [simplify]: Extracting #3: cost 60 inf + 0 273.992 * * [simplify]: Extracting #4: cost 153 inf + 0 273.993 * * [simplify]: Extracting #5: cost 220 inf + 44 273.994 * * [simplify]: Extracting #6: cost 247 inf + 6628 273.998 * * [simplify]: Extracting #7: cost 190 inf + 17352 274.004 * * [simplify]: Extracting #8: cost 146 inf + 32219 274.018 * * [simplify]: Extracting #9: cost 92 inf + 58864 274.032 * * [simplify]: Extracting #10: cost 44 inf + 77910 274.067 * * [simplify]: Extracting #11: cost 6 inf + 119180 274.115 * * [simplify]: Extracting #12: cost 1 inf + 125065 274.165 * * [simplify]: Extracting #13: cost 0 inf + 127130 274.209 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 274.209 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 274.210 * * * * [progress]: [ 364 / 5906 ] simplifiying candidate # 274.210 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 274.210 * * [simplify]: iters left: 6 (52 enodes) 274.225 * * [simplify]: iters left: 5 (253 enodes) 274.302 * * [simplify]: Extracting #0: cost 1 inf + 0 274.302 * * [simplify]: Extracting #1: cost 3 inf + 0 274.302 * * [simplify]: Extracting #2: cost 6 inf + 0 274.302 * * [simplify]: Extracting #3: cost 62 inf + 0 274.303 * * [simplify]: Extracting #4: cost 151 inf + 0 274.304 * * [simplify]: Extracting #5: cost 216 inf + 44 274.307 * * [simplify]: Extracting #6: cost 246 inf + 5862 274.313 * * [simplify]: Extracting #7: cost 199 inf + 14806 274.326 * * [simplify]: Extracting #8: cost 117 inf + 41310 274.341 * * [simplify]: Extracting #9: cost 52 inf + 70923 274.367 * * [simplify]: Extracting #10: cost 9 inf + 114497 274.399 * * [simplify]: Extracting #11: cost 1 inf + 122817 274.427 * * [simplify]: Extracting #12: cost 0 inf + 124762 274.472 * * [simplify]: Extracting #13: cost 0 inf + 124722 274.513 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))))) 274.513 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 274.514 * * * * [progress]: [ 365 / 5906 ] simplifiying candidate # 274.514 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 274.515 * * [simplify]: iters left: 6 (46 enodes) 274.528 * * [simplify]: iters left: 5 (217 enodes) 274.594 * * [simplify]: Extracting #0: cost 1 inf + 0 274.594 * * [simplify]: Extracting #1: cost 3 inf + 0 274.594 * * [simplify]: Extracting #2: cost 6 inf + 0 274.594 * * [simplify]: Extracting #3: cost 54 inf + 0 274.595 * * [simplify]: Extracting #4: cost 119 inf + 0 274.595 * * [simplify]: Extracting #5: cost 164 inf + 44 274.597 * * [simplify]: Extracting #6: cost 225 inf + 1114 274.600 * * [simplify]: Extracting #7: cost 196 inf + 5625 274.605 * * [simplify]: Extracting #8: cost 149 inf + 17010 274.613 * * [simplify]: Extracting #9: cost 101 inf + 36535 274.623 * * [simplify]: Extracting #10: cost 45 inf + 58735 274.640 * * [simplify]: Extracting #11: cost 9 inf + 91716 274.679 * * [simplify]: Extracting #12: cost 0 inf + 101661 274.707 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 274.707 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 274.708 * * * * [progress]: [ 366 / 5906 ] simplifiying candidate # 274.708 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 274.708 * * [simplify]: iters left: 6 (51 enodes) 274.722 * * [simplify]: iters left: 5 (245 enodes) 274.790 * * [simplify]: Extracting #0: cost 1 inf + 0 274.790 * * [simplify]: Extracting #1: cost 3 inf + 0 274.791 * * [simplify]: Extracting #2: cost 10 inf + 0 274.791 * * [simplify]: Extracting #3: cost 74 inf + 0 274.791 * * [simplify]: Extracting #4: cost 137 inf + 1 274.792 * * [simplify]: Extracting #5: cost 185 inf + 249 274.794 * * [simplify]: Extracting #6: cost 242 inf + 2214 274.798 * * [simplify]: Extracting #7: cost 179 inf + 17933 274.805 * * [simplify]: Extracting #8: cost 134 inf + 33527 274.813 * * [simplify]: Extracting #9: cost 94 inf + 48855 274.826 * * [simplify]: Extracting #10: cost 52 inf + 65132 274.853 * * [simplify]: Extracting #11: cost 11 inf + 101157 274.878 * * [simplify]: Extracting #12: cost 0 inf + 116272 274.908 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 274.908 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 274.908 * * * * [progress]: [ 367 / 5906 ] simplifiying candidate # 274.909 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 274.909 * * [simplify]: iters left: 6 (46 enodes) 274.922 * * [simplify]: iters left: 5 (217 enodes) 274.990 * * [simplify]: Extracting #0: cost 1 inf + 0 274.990 * * [simplify]: Extracting #1: cost 3 inf + 0 274.990 * * [simplify]: Extracting #2: cost 10 inf + 0 274.990 * * [simplify]: Extracting #3: cost 66 inf + 0 274.991 * * [simplify]: Extracting #4: cost 117 inf + 44 274.992 * * [simplify]: Extracting #5: cost 149 inf + 1066 274.994 * * [simplify]: Extracting #6: cost 212 inf + 2975 274.996 * * [simplify]: Extracting #7: cost 203 inf + 4568 275.003 * * [simplify]: Extracting #8: cost 143 inf + 21911 275.016 * * [simplify]: Extracting #9: cost 88 inf + 42059 275.027 * * [simplify]: Extracting #10: cost 42 inf + 58714 275.042 * * [simplify]: Extracting #11: cost 14 inf + 84361 275.071 * * [simplify]: Extracting #12: cost 0 inf + 99031 275.092 * * [simplify]: Extracting #13: cost 0 inf + 98791 275.119 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 275.120 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 275.121 * * * * [progress]: [ 368 / 5906 ] simplifiying candidate # 275.121 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 275.122 * * [simplify]: iters left: 6 (51 enodes) 275.149 * * [simplify]: iters left: 5 (245 enodes) 275.251 * * [simplify]: Extracting #0: cost 1 inf + 0 275.252 * * [simplify]: Extracting #1: cost 3 inf + 0 275.252 * * [simplify]: Extracting #2: cost 10 inf + 0 275.252 * * [simplify]: Extracting #3: cost 74 inf + 0 275.252 * * [simplify]: Extracting #4: cost 137 inf + 1 275.253 * * [simplify]: Extracting #5: cost 186 inf + 207 275.255 * * [simplify]: Extracting #6: cost 241 inf + 2455 275.259 * * [simplify]: Extracting #7: cost 173 inf + 19225 275.265 * * [simplify]: Extracting #8: cost 130 inf + 37063 275.276 * * [simplify]: Extracting #9: cost 94 inf + 49815 275.287 * * [simplify]: Extracting #10: cost 51 inf + 66517 275.305 * * [simplify]: Extracting #11: cost 11 inf + 102117 275.343 * * [simplify]: Extracting #12: cost 0 inf + 117232 275.388 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 275.388 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 275.389 * * * * [progress]: [ 369 / 5906 ] simplifiying candidate # 275.389 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 275.389 * * [simplify]: iters left: 6 (46 enodes) 275.402 * * [simplify]: iters left: 5 (217 enodes) 275.474 * * [simplify]: Extracting #0: cost 1 inf + 0 275.474 * * [simplify]: Extracting #1: cost 3 inf + 0 275.474 * * [simplify]: Extracting #2: cost 10 inf + 0 275.474 * * [simplify]: Extracting #3: cost 65 inf + 0 275.475 * * [simplify]: Extracting #4: cost 117 inf + 44 275.475 * * [simplify]: Extracting #5: cost 150 inf + 904 275.476 * * [simplify]: Extracting #6: cost 212 inf + 2975 275.478 * * [simplify]: Extracting #7: cost 206 inf + 4202 275.481 * * [simplify]: Extracting #8: cost 142 inf + 22032 275.489 * * [simplify]: Extracting #9: cost 93 inf + 40735 275.500 * * [simplify]: Extracting #10: cost 43 inf + 58329 275.517 * * [simplify]: Extracting #11: cost 13 inf + 85346 275.537 * * [simplify]: Extracting #12: cost 0 inf + 99111 275.557 * * [simplify]: Extracting #13: cost 0 inf + 98871 275.579 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 275.579 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 275.579 * * * * [progress]: [ 370 / 5906 ] simplifiying candidate # 275.580 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 275.580 * * [simplify]: iters left: 6 (48 enodes) 275.602 * * [simplify]: iters left: 5 (231 enodes) 275.709 * * [simplify]: Extracting #0: cost 1 inf + 0 275.709 * * [simplify]: Extracting #1: cost 3 inf + 0 275.709 * * [simplify]: Extracting #2: cost 6 inf + 0 275.710 * * [simplify]: Extracting #3: cost 54 inf + 0 275.710 * * [simplify]: Extracting #4: cost 120 inf + 0 275.711 * * [simplify]: Extracting #5: cost 186 inf + 0 275.712 * * [simplify]: Extracting #6: cost 255 inf + 1605 275.715 * * [simplify]: Extracting #7: cost 211 inf + 10942 275.722 * * [simplify]: Extracting #8: cost 150 inf + 22927 275.734 * * [simplify]: Extracting #9: cost 98 inf + 37825 275.752 * * [simplify]: Extracting #10: cost 52 inf + 56261 275.774 * * [simplify]: Extracting #11: cost 31 inf + 71763 275.796 * * [simplify]: Extracting #12: cost 2 inf + 102008 275.826 * * [simplify]: Extracting #13: cost 0 inf + 105458 275.847 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) 275.848 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 275.848 * * * * [progress]: [ 371 / 5906 ] simplifiying candidate # 275.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 275.849 * * [simplify]: iters left: 6 (49 enodes) 275.867 * * [simplify]: iters left: 5 (240 enodes) 275.963 * * [simplify]: Extracting #0: cost 1 inf + 0 275.963 * * [simplify]: Extracting #1: cost 3 inf + 0 275.963 * * [simplify]: Extracting #2: cost 6 inf + 0 275.963 * * [simplify]: Extracting #3: cost 58 inf + 0 275.963 * * [simplify]: Extracting #4: cost 143 inf + 0 275.964 * * [simplify]: Extracting #5: cost 199 inf + 85 275.965 * * [simplify]: Extracting #6: cost 231 inf + 5296 275.968 * * [simplify]: Extracting #7: cost 196 inf + 14817 275.973 * * [simplify]: Extracting #8: cost 110 inf + 37995 275.984 * * [simplify]: Extracting #9: cost 49 inf + 62191 276.007 * * [simplify]: Extracting #10: cost 8 inf + 98155 276.034 * * [simplify]: Extracting #11: cost 0 inf + 106755 276.060 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 276.060 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 276.061 * * * * [progress]: [ 372 / 5906 ] simplifiying candidate # 276.061 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 276.061 * * [simplify]: iters left: 6 (49 enodes) 276.076 * * [simplify]: iters left: 5 (240 enodes) 276.160 * * [simplify]: Extracting #0: cost 1 inf + 0 276.160 * * [simplify]: Extracting #1: cost 3 inf + 0 276.160 * * [simplify]: Extracting #2: cost 6 inf + 0 276.160 * * [simplify]: Extracting #3: cost 60 inf + 0 276.161 * * [simplify]: Extracting #4: cost 141 inf + 0 276.161 * * [simplify]: Extracting #5: cost 196 inf + 43 276.164 * * [simplify]: Extracting #6: cost 233 inf + 5362 276.169 * * [simplify]: Extracting #7: cost 197 inf + 14589 276.178 * * [simplify]: Extracting #8: cost 135 inf + 28792 276.194 * * [simplify]: Extracting #9: cost 81 inf + 49737 276.218 * * [simplify]: Extracting #10: cost 34 inf + 69417 276.252 * * [simplify]: Extracting #11: cost 6 inf + 98157 276.296 * * [simplify]: Extracting #12: cost 0 inf + 104667 276.337 * * [simplify]: Extracting #13: cost 0 inf + 104427 276.367 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 276.367 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 276.368 * * * * [progress]: [ 373 / 5906 ] simplifiying candidate # 276.368 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 276.368 * * [simplify]: iters left: 6 (43 enodes) 276.380 * * [simplify]: iters left: 5 (204 enodes) 276.459 * * [simplify]: Extracting #0: cost 1 inf + 0 276.459 * * [simplify]: Extracting #1: cost 3 inf + 0 276.459 * * [simplify]: Extracting #2: cost 6 inf + 0 276.459 * * [simplify]: Extracting #3: cost 52 inf + 0 276.460 * * [simplify]: Extracting #4: cost 109 inf + 0 276.460 * * [simplify]: Extracting #5: cost 144 inf + 44 276.462 * * [simplify]: Extracting #6: cost 198 inf + 1964 276.464 * * [simplify]: Extracting #7: cost 188 inf + 5056 276.468 * * [simplify]: Extracting #8: cost 136 inf + 14525 276.474 * * [simplify]: Extracting #9: cost 93 inf + 31843 276.483 * * [simplify]: Extracting #10: cost 45 inf + 48014 276.493 * * [simplify]: Extracting #11: cost 30 inf + 55576 276.519 * * [simplify]: Extracting #12: cost 3 inf + 81291 276.538 * * [simplify]: Extracting #13: cost 0 inf + 85446 276.562 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) 276.562 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 276.563 * * * * [progress]: [ 374 / 5906 ] simplifiying candidate # 276.564 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 276.564 * * [simplify]: iters left: 6 (48 enodes) 276.582 * * [simplify]: iters left: 5 (232 enodes) 276.637 * * [simplify]: Extracting #0: cost 1 inf + 0 276.637 * * [simplify]: Extracting #1: cost 3 inf + 0 276.637 * * [simplify]: Extracting #2: cost 10 inf + 0 276.637 * * [simplify]: Extracting #3: cost 72 inf + 0 276.637 * * [simplify]: Extracting #4: cost 126 inf + 42 276.638 * * [simplify]: Extracting #5: cost 166 inf + 207 276.639 * * [simplify]: Extracting #6: cost 225 inf + 2084 276.641 * * [simplify]: Extracting #7: cost 202 inf + 9194 276.647 * * [simplify]: Extracting #8: cost 135 inf + 23145 276.666 * * [simplify]: Extracting #9: cost 62 inf + 47559 276.687 * * [simplify]: Extracting #10: cost 32 inf + 66257 276.720 * * [simplify]: Extracting #11: cost 4 inf + 94397 276.744 * * [simplify]: Extracting #12: cost 0 inf + 100657 276.772 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 276.773 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 276.774 * * * * [progress]: [ 375 / 5906 ] simplifiying candidate # 276.774 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 276.775 * * [simplify]: iters left: 6 (43 enodes) 276.797 * * [simplify]: iters left: 5 (204 enodes) 276.880 * * [simplify]: Extracting #0: cost 1 inf + 0 276.880 * * [simplify]: Extracting #1: cost 3 inf + 0 276.880 * * [simplify]: Extracting #2: cost 10 inf + 0 276.880 * * [simplify]: Extracting #3: cost 64 inf + 0 276.881 * * [simplify]: Extracting #4: cost 107 inf + 44 276.881 * * [simplify]: Extracting #5: cost 129 inf + 1187 276.883 * * [simplify]: Extracting #6: cost 191 inf + 2772 276.886 * * [simplify]: Extracting #7: cost 190 inf + 4971 276.894 * * [simplify]: Extracting #8: cost 92 inf + 30720 276.911 * * [simplify]: Extracting #9: cost 32 inf + 56402 276.928 * * [simplify]: Extracting #10: cost 3 inf + 78514 276.951 * * [simplify]: Extracting #11: cost 0 inf + 81816 276.984 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 276.984 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 276.985 * * * * [progress]: [ 376 / 5906 ] simplifiying candidate # 276.985 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 276.986 * * [simplify]: iters left: 6 (48 enodes) 277.006 * * [simplify]: iters left: 5 (232 enodes) 277.075 * * [simplify]: Extracting #0: cost 1 inf + 0 277.075 * * [simplify]: Extracting #1: cost 3 inf + 0 277.075 * * [simplify]: Extracting #2: cost 10 inf + 0 277.075 * * [simplify]: Extracting #3: cost 72 inf + 0 277.075 * * [simplify]: Extracting #4: cost 126 inf + 42 277.076 * * [simplify]: Extracting #5: cost 165 inf + 249 277.076 * * [simplify]: Extracting #6: cost 223 inf + 2488 277.078 * * [simplify]: Extracting #7: cost 204 inf + 8398 277.082 * * [simplify]: Extracting #8: cost 122 inf + 28672 277.090 * * [simplify]: Extracting #9: cost 61 inf + 48909 277.109 * * [simplify]: Extracting #10: cost 32 inf + 67377 277.140 * * [simplify]: Extracting #11: cost 4 inf + 95517 277.160 * * [simplify]: Extracting #12: cost 0 inf + 101777 277.183 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 277.183 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 277.184 * * * * [progress]: [ 377 / 5906 ] simplifiying candidate # 277.184 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 277.184 * * [simplify]: iters left: 6 (43 enodes) 277.196 * * [simplify]: iters left: 5 (204 enodes) 277.259 * * [simplify]: Extracting #0: cost 1 inf + 0 277.259 * * [simplify]: Extracting #1: cost 3 inf + 0 277.259 * * [simplify]: Extracting #2: cost 10 inf + 0 277.260 * * [simplify]: Extracting #3: cost 63 inf + 0 277.260 * * [simplify]: Extracting #4: cost 107 inf + 44 277.261 * * [simplify]: Extracting #5: cost 131 inf + 862 277.263 * * [simplify]: Extracting #6: cost 189 inf + 2976 277.265 * * [simplify]: Extracting #7: cost 185 inf + 5256 277.270 * * [simplify]: Extracting #8: cost 138 inf + 13837 277.280 * * [simplify]: Extracting #9: cost 86 inf + 32680 277.305 * * [simplify]: Extracting #10: cost 26 inf + 58512 277.335 * * [simplify]: Extracting #11: cost 2 inf + 79446 277.353 * * [simplify]: Extracting #12: cost 1 inf + 80991 277.376 * * [simplify]: Extracting #13: cost 0 inf + 82536 277.408 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (+ phi2 phi1))))) 277.408 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 277.409 * * * * [progress]: [ 378 / 5906 ] simplifiying candidate # 277.409 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 277.410 * * [simplify]: iters left: 6 (51 enodes) 277.437 * * [simplify]: iters left: 5 (245 enodes) 277.545 * * [simplify]: Extracting #0: cost 1 inf + 0 277.545 * * [simplify]: Extracting #1: cost 3 inf + 0 277.545 * * [simplify]: Extracting #2: cost 6 inf + 0 277.546 * * [simplify]: Extracting #3: cost 56 inf + 0 277.546 * * [simplify]: Extracting #4: cost 130 inf + 0 277.547 * * [simplify]: Extracting #5: cost 205 inf + 0 277.548 * * [simplify]: Extracting #6: cost 276 inf + 1216 277.553 * * [simplify]: Extracting #7: cost 202 inf + 15495 277.561 * * [simplify]: Extracting #8: cost 147 inf + 29949 277.577 * * [simplify]: Extracting #9: cost 96 inf + 49055 277.600 * * [simplify]: Extracting #10: cost 50 inf + 70863 277.626 * * [simplify]: Extracting #11: cost 7 inf + 113898 277.650 * * [simplify]: Extracting #12: cost 0 inf + 122953 277.692 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 277.692 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 277.693 * * * * [progress]: [ 379 / 5906 ] simplifiying candidate # 277.694 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 277.695 * * [simplify]: iters left: 6 (52 enodes) 277.723 * * [simplify]: iters left: 5 (254 enodes) 277.821 * * [simplify]: Extracting #0: cost 1 inf + 0 277.821 * * [simplify]: Extracting #1: cost 3 inf + 0 277.821 * * [simplify]: Extracting #2: cost 6 inf + 0 277.822 * * [simplify]: Extracting #3: cost 60 inf + 0 277.822 * * [simplify]: Extracting #4: cost 153 inf + 0 277.823 * * [simplify]: Extracting #5: cost 219 inf + 44 277.824 * * [simplify]: Extracting #6: cost 262 inf + 3760 277.828 * * [simplify]: Extracting #7: cost 188 inf + 18600 277.836 * * [simplify]: Extracting #8: cost 139 inf + 35782 277.855 * * [simplify]: Extracting #9: cost 91 inf + 57666 277.871 * * [simplify]: Extracting #10: cost 49 inf + 73425 277.892 * * [simplify]: Extracting #11: cost 6 inf + 119260 277.919 * * [simplify]: Extracting #12: cost 1 inf + 125145 277.947 * * [simplify]: Extracting #13: cost 0 inf + 127170 277.983 * * [simplify]: Extracting #14: cost 0 inf + 127130 278.036 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 278.036 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 278.037 * * * * [progress]: [ 380 / 5906 ] simplifiying candidate # 278.037 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 278.038 * * [simplify]: iters left: 6 (52 enodes) 278.060 * * [simplify]: iters left: 5 (254 enodes) 278.156 * * [simplify]: Extracting #0: cost 1 inf + 0 278.156 * * [simplify]: Extracting #1: cost 3 inf + 0 278.156 * * [simplify]: Extracting #2: cost 6 inf + 0 278.156 * * [simplify]: Extracting #3: cost 62 inf + 0 278.157 * * [simplify]: Extracting #4: cost 151 inf + 0 278.158 * * [simplify]: Extracting #5: cost 215 inf + 44 278.160 * * [simplify]: Extracting #6: cost 258 inf + 3599 278.166 * * [simplify]: Extracting #7: cost 192 inf + 15979 278.177 * * [simplify]: Extracting #8: cost 144 inf + 32656 278.197 * * [simplify]: Extracting #9: cost 91 inf + 57121 278.222 * * [simplify]: Extracting #10: cost 47 inf + 75107 278.245 * * [simplify]: Extracting #11: cost 12 inf + 109262 278.288 * * [simplify]: Extracting #12: cost 1 inf + 122737 278.320 * * [simplify]: Extracting #13: cost 0 inf + 124802 278.354 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 278.354 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 278.355 * * * * [progress]: [ 381 / 5906 ] simplifiying candidate # 278.355 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 278.355 * * [simplify]: iters left: 6 (46 enodes) 278.368 * * [simplify]: iters left: 5 (218 enodes) 278.444 * * [simplify]: Extracting #0: cost 1 inf + 0 278.444 * * [simplify]: Extracting #1: cost 3 inf + 0 278.444 * * [simplify]: Extracting #2: cost 6 inf + 0 278.444 * * [simplify]: Extracting #3: cost 54 inf + 0 278.444 * * [simplify]: Extracting #4: cost 119 inf + 0 278.445 * * [simplify]: Extracting #5: cost 163 inf + 44 278.445 * * [simplify]: Extracting #6: cost 222 inf + 1400 278.447 * * [simplify]: Extracting #7: cost 202 inf + 5173 278.451 * * [simplify]: Extracting #8: cost 127 inf + 24893 278.461 * * [simplify]: Extracting #9: cost 57 inf + 54756 278.478 * * [simplify]: Extracting #10: cost 14 inf + 90670 278.499 * * [simplify]: Extracting #11: cost 0 inf + 104061 278.523 * * [simplify]: Extracting #12: cost 0 inf + 103981 278.545 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) 278.545 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 278.545 * * * * [progress]: [ 382 / 5906 ] simplifiying candidate # 278.546 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 278.546 * * [simplify]: iters left: 6 (51 enodes) 278.568 * * [simplify]: iters left: 5 (246 enodes) 278.642 * * [simplify]: Extracting #0: cost 1 inf + 0 278.642 * * [simplify]: Extracting #1: cost 3 inf + 0 278.642 * * [simplify]: Extracting #2: cost 10 inf + 0 278.642 * * [simplify]: Extracting #3: cost 74 inf + 0 278.642 * * [simplify]: Extracting #4: cost 137 inf + 1 278.643 * * [simplify]: Extracting #5: cost 184 inf + 249 278.644 * * [simplify]: Extracting #6: cost 240 inf + 2377 278.646 * * [simplify]: Extracting #7: cost 174 inf + 17899 278.653 * * [simplify]: Extracting #8: cost 117 inf + 37640 278.673 * * [simplify]: Extracting #9: cost 63 inf + 60419 278.691 * * [simplify]: Extracting #10: cost 42 inf + 72862 278.709 * * [simplify]: Extracting #11: cost 12 inf + 101132 278.755 * * [simplify]: Extracting #12: cost 1 inf + 114807 278.802 * * [simplify]: Extracting #13: cost 0 inf + 116752 278.836 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 278.836 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 278.837 * * * * [progress]: [ 383 / 5906 ] simplifiying candidate # 278.837 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 278.837 * * [simplify]: iters left: 6 (46 enodes) 278.850 * * [simplify]: iters left: 5 (218 enodes) 278.938 * * [simplify]: Extracting #0: cost 1 inf + 0 278.938 * * [simplify]: Extracting #1: cost 3 inf + 0 278.938 * * [simplify]: Extracting #2: cost 10 inf + 0 278.938 * * [simplify]: Extracting #3: cost 66 inf + 0 278.939 * * [simplify]: Extracting #4: cost 117 inf + 44 278.940 * * [simplify]: Extracting #5: cost 149 inf + 984 278.942 * * [simplify]: Extracting #6: cost 212 inf + 2975 278.944 * * [simplify]: Extracting #7: cost 207 inf + 4162 278.947 * * [simplify]: Extracting #8: cost 162 inf + 12576 278.953 * * [simplify]: Extracting #9: cost 103 inf + 33553 278.963 * * [simplify]: Extracting #10: cost 41 inf + 59421 278.985 * * [simplify]: Extracting #11: cost 4 inf + 93131 279.007 * * [simplify]: Extracting #12: cost 0 inf + 97991 279.040 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 279.040 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 279.041 * * * * [progress]: [ 384 / 5906 ] simplifiying candidate # 279.042 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 279.042 * * [simplify]: iters left: 6 (51 enodes) 279.069 * * [simplify]: iters left: 5 (246 enodes) 279.129 * * [simplify]: Extracting #0: cost 1 inf + 0 279.129 * * [simplify]: Extracting #1: cost 3 inf + 0 279.129 * * [simplify]: Extracting #2: cost 10 inf + 0 279.129 * * [simplify]: Extracting #3: cost 74 inf + 0 279.132 * * [simplify]: Extracting #4: cost 137 inf + 1 279.132 * * [simplify]: Extracting #5: cost 185 inf + 207 279.133 * * [simplify]: Extracting #6: cost 243 inf + 2214 279.136 * * [simplify]: Extracting #7: cost 178 inf + 17241 279.142 * * [simplify]: Extracting #8: cost 121 inf + 35891 279.153 * * [simplify]: Extracting #9: cost 65 inf + 59689 279.167 * * [simplify]: Extracting #10: cost 48 inf + 68072 279.193 * * [simplify]: Extracting #11: cost 11 inf + 102997 279.221 * * [simplify]: Extracting #12: cost 1 inf + 115607 279.267 * * [simplify]: Extracting #13: cost 0 inf + 117552 279.292 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 279.292 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 279.293 * * * * [progress]: [ 385 / 5906 ] simplifiying candidate # 279.293 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 279.294 * * [simplify]: iters left: 6 (46 enodes) 279.318 * * [simplify]: iters left: 5 (218 enodes) 279.397 * * [simplify]: Extracting #0: cost 1 inf + 0 279.397 * * [simplify]: Extracting #1: cost 3 inf + 0 279.398 * * [simplify]: Extracting #2: cost 10 inf + 0 279.398 * * [simplify]: Extracting #3: cost 65 inf + 0 279.398 * * [simplify]: Extracting #4: cost 117 inf + 44 279.398 * * [simplify]: Extracting #5: cost 149 inf + 904 279.399 * * [simplify]: Extracting #6: cost 212 inf + 2975 279.401 * * [simplify]: Extracting #7: cost 205 inf + 4406 279.403 * * [simplify]: Extracting #8: cost 161 inf + 12858 279.408 * * [simplify]: Extracting #9: cost 106 inf + 32277 279.421 * * [simplify]: Extracting #10: cost 43 inf + 59089 279.454 * * [simplify]: Extracting #11: cost 4 inf + 94251 279.493 * * [simplify]: Extracting #12: cost 0 inf + 99191 279.531 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 279.531 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 279.532 * * * * [progress]: [ 386 / 5906 ] simplifiying candidate # 279.532 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 279.533 * * [simplify]: iters left: 6 (50 enodes) 279.550 * * [simplify]: iters left: 5 (240 enodes) 279.628 * * [simplify]: Extracting #0: cost 1 inf + 0 279.628 * * [simplify]: Extracting #1: cost 3 inf + 0 279.628 * * [simplify]: Extracting #2: cost 6 inf + 0 279.628 * * [simplify]: Extracting #3: cost 57 inf + 0 279.629 * * [simplify]: Extracting #4: cost 128 inf + 0 279.629 * * [simplify]: Extracting #5: cost 193 inf + 0 279.630 * * [simplify]: Extracting #6: cost 260 inf + 4065 279.632 * * [simplify]: Extracting #7: cost 206 inf + 16330 279.636 * * [simplify]: Extracting #8: cost 154 inf + 25314 279.647 * * [simplify]: Extracting #9: cost 98 inf + 44227 279.657 * * [simplify]: Extracting #10: cost 58 inf + 59790 279.669 * * [simplify]: Extracting #11: cost 34 inf + 75790 279.691 * * [simplify]: Extracting #12: cost 3 inf + 108525 279.714 * * [simplify]: Extracting #13: cost 0 inf + 112320 279.747 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))) 279.747 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 279.748 * * * * [progress]: [ 387 / 5906 ] simplifiying candidate # 279.748 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 279.748 * * [simplify]: iters left: 6 (51 enodes) 279.764 * * [simplify]: iters left: 5 (249 enodes) 279.835 * * [simplify]: Extracting #0: cost 1 inf + 0 279.835 * * [simplify]: Extracting #1: cost 3 inf + 0 279.835 * * [simplify]: Extracting #2: cost 6 inf + 0 279.835 * * [simplify]: Extracting #3: cost 61 inf + 0 279.836 * * [simplify]: Extracting #4: cost 151 inf + 0 279.836 * * [simplify]: Extracting #5: cost 207 inf + 44 279.838 * * [simplify]: Extracting #6: cost 246 inf + 5252 279.841 * * [simplify]: Extracting #7: cost 209 inf + 14630 279.848 * * [simplify]: Extracting #8: cost 165 inf + 24175 279.855 * * [simplify]: Extracting #9: cost 108 inf + 40633 279.872 * * [simplify]: Extracting #10: cost 29 inf + 90993 279.895 * * [simplify]: Extracting #11: cost 3 inf + 110102 279.923 * * [simplify]: Extracting #12: cost 0 inf + 114897 279.953 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 279.953 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 279.954 * * * * [progress]: [ 388 / 5906 ] simplifiying candidate # 279.955 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 279.955 * * [simplify]: iters left: 6 (51 enodes) 279.981 * * [simplify]: iters left: 5 (249 enodes) 280.088 * * [simplify]: Extracting #0: cost 1 inf + 0 280.088 * * [simplify]: Extracting #1: cost 3 inf + 0 280.088 * * [simplify]: Extracting #2: cost 6 inf + 0 280.088 * * [simplify]: Extracting #3: cost 63 inf + 0 280.089 * * [simplify]: Extracting #4: cost 149 inf + 0 280.090 * * [simplify]: Extracting #5: cost 203 inf + 44 280.093 * * [simplify]: Extracting #6: cost 238 inf + 5660 280.098 * * [simplify]: Extracting #7: cost 210 inf + 14191 280.109 * * [simplify]: Extracting #8: cost 160 inf + 24704 280.120 * * [simplify]: Extracting #9: cost 110 inf + 37708 280.140 * * [simplify]: Extracting #10: cost 54 inf + 64958 280.164 * * [simplify]: Extracting #11: cost 4 inf + 109109 280.195 * * [simplify]: Extracting #12: cost 0 inf + 112689 280.235 * * [simplify]: Extracting #13: cost 0 inf + 112529 280.265 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 280.266 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 280.267 * * * * [progress]: [ 389 / 5906 ] simplifiying candidate # 280.267 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 280.268 * * [simplify]: iters left: 6 (45 enodes) 280.293 * * [simplify]: iters left: 5 (213 enodes) 280.357 * * [simplify]: Extracting #0: cost 1 inf + 0 280.357 * * [simplify]: Extracting #1: cost 3 inf + 0 280.357 * * [simplify]: Extracting #2: cost 6 inf + 0 280.357 * * [simplify]: Extracting #3: cost 55 inf + 0 280.358 * * [simplify]: Extracting #4: cost 117 inf + 0 280.358 * * [simplify]: Extracting #5: cost 150 inf + 85 280.360 * * [simplify]: Extracting #6: cost 218 inf + 952 280.362 * * [simplify]: Extracting #7: cost 206 inf + 4125 280.370 * * [simplify]: Extracting #8: cost 136 inf + 18898 280.389 * * [simplify]: Extracting #9: cost 73 inf + 40838 280.407 * * [simplify]: Extracting #10: cost 12 inf + 80901 280.426 * * [simplify]: Extracting #11: cost 0 inf + 92388 280.462 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 280.463 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 280.464 * * * * [progress]: [ 390 / 5906 ] simplifiying candidate # 280.464 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 280.465 * * [simplify]: iters left: 6 (50 enodes) 280.493 * * [simplify]: iters left: 5 (241 enodes) 280.572 * * [simplify]: Extracting #0: cost 1 inf + 0 280.572 * * [simplify]: Extracting #1: cost 3 inf + 0 280.572 * * [simplify]: Extracting #2: cost 10 inf + 0 280.572 * * [simplify]: Extracting #3: cost 75 inf + 0 280.573 * * [simplify]: Extracting #4: cost 142 inf + 1 280.573 * * [simplify]: Extracting #5: cost 179 inf + 249 280.575 * * [simplify]: Extracting #6: cost 239 inf + 2456 280.578 * * [simplify]: Extracting #7: cost 213 inf + 10592 280.585 * * [simplify]: Extracting #8: cost 154 inf + 25334 280.598 * * [simplify]: Extracting #9: cost 104 inf + 43766 280.615 * * [simplify]: Extracting #10: cost 64 inf + 57334 280.636 * * [simplify]: Extracting #11: cost 26 inf + 80884 280.673 * * [simplify]: Extracting #12: cost 5 inf + 101849 280.702 * * [simplify]: Extracting #13: cost 1 inf + 107269 280.727 * * [simplify]: Extracting #14: cost 0 inf + 109014 280.759 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 280.759 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 280.760 * * * * [progress]: [ 391 / 5906 ] simplifiying candidate # 280.760 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 280.761 * * [simplify]: iters left: 6 (45 enodes) 280.791 * * [simplify]: iters left: 5 (213 enodes) 280.886 * * [simplify]: Extracting #0: cost 1 inf + 0 280.886 * * [simplify]: Extracting #1: cost 3 inf + 0 280.886 * * [simplify]: Extracting #2: cost 10 inf + 0 280.887 * * [simplify]: Extracting #3: cost 67 inf + 0 280.887 * * [simplify]: Extracting #4: cost 122 inf + 44 280.888 * * [simplify]: Extracting #5: cost 147 inf + 578 280.890 * * [simplify]: Extracting #6: cost 210 inf + 2934 280.893 * * [simplify]: Extracting #7: cost 212 inf + 3997 280.899 * * [simplify]: Extracting #8: cost 140 inf + 20698 280.924 * * [simplify]: Extracting #9: cost 34 inf + 70338 280.960 * * [simplify]: Extracting #10: cost 2 inf + 90656 280.991 * * [simplify]: Extracting #11: cost 0 inf + 92413 281.013 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) 281.013 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 281.014 * * * * [progress]: [ 392 / 5906 ] simplifiying candidate # 281.014 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 281.015 * * [simplify]: iters left: 6 (50 enodes) 281.042 * * [simplify]: iters left: 5 (241 enodes) 281.114 * * [simplify]: Extracting #0: cost 1 inf + 0 281.114 * * [simplify]: Extracting #1: cost 3 inf + 0 281.114 * * [simplify]: Extracting #2: cost 10 inf + 0 281.114 * * [simplify]: Extracting #3: cost 75 inf + 0 281.115 * * [simplify]: Extracting #4: cost 142 inf + 1 281.115 * * [simplify]: Extracting #5: cost 180 inf + 207 281.116 * * [simplify]: Extracting #6: cost 239 inf + 2697 281.118 * * [simplify]: Extracting #7: cost 208 inf + 11844 281.124 * * [simplify]: Extracting #8: cost 157 inf + 24678 281.138 * * [simplify]: Extracting #9: cost 104 inf + 44726 281.153 * * [simplify]: Extracting #10: cost 64 inf + 58294 281.167 * * [simplify]: Extracting #11: cost 26 inf + 81844 281.188 * * [simplify]: Extracting #12: cost 5 inf + 102809 281.226 * * [simplify]: Extracting #13: cost 1 inf + 108229 281.264 * * [simplify]: Extracting #14: cost 0 inf + 109974 281.287 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 281.287 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 281.287 * * * * [progress]: [ 393 / 5906 ] simplifiying candidate # 281.288 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 281.288 * * [simplify]: iters left: 6 (45 enodes) 281.312 * * [simplify]: iters left: 5 (213 enodes) 281.381 * * [simplify]: Extracting #0: cost 1 inf + 0 281.381 * * [simplify]: Extracting #1: cost 3 inf + 0 281.381 * * [simplify]: Extracting #2: cost 10 inf + 0 281.381 * * [simplify]: Extracting #3: cost 66 inf + 0 281.382 * * [simplify]: Extracting #4: cost 122 inf + 44 281.383 * * [simplify]: Extracting #5: cost 145 inf + 783 281.384 * * [simplify]: Extracting #6: cost 210 inf + 2934 281.387 * * [simplify]: Extracting #7: cost 214 inf + 3795 281.393 * * [simplify]: Extracting #8: cost 143 inf + 20054 281.415 * * [simplify]: Extracting #9: cost 34 inf + 69736 281.450 * * [simplify]: Extracting #10: cost 3 inf + 90273 281.488 * * [simplify]: Extracting #11: cost 0 inf + 92493 281.528 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) 281.528 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 281.529 * * * * [progress]: [ 394 / 5906 ] simplifiying candidate # 281.530 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 281.530 * * [simplify]: iters left: 6 (45 enodes) 281.554 * * [simplify]: iters left: 5 (214 enodes) 281.645 * * [simplify]: Extracting #0: cost 1 inf + 0 281.645 * * [simplify]: Extracting #1: cost 3 inf + 0 281.645 * * [simplify]: Extracting #2: cost 6 inf + 0 281.646 * * [simplify]: Extracting #3: cost 48 inf + 0 281.646 * * [simplify]: Extracting #4: cost 112 inf + 0 281.647 * * [simplify]: Extracting #5: cost 178 inf + 0 281.648 * * [simplify]: Extracting #6: cost 246 inf + 127 281.649 * * [simplify]: Extracting #7: cost 225 inf + 7043 281.657 * * [simplify]: Extracting #8: cost 124 inf + 29555 281.678 * * [simplify]: Extracting #9: cost 49 inf + 56110 281.710 * * [simplify]: Extracting #10: cost 9 inf + 90466 281.748 * * [simplify]: Extracting #11: cost 0 inf + 98929 281.788 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 281.788 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 281.789 * * * * [progress]: [ 395 / 5906 ] simplifiying candidate # 281.790 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 281.791 * * [simplify]: iters left: 6 (46 enodes) 281.816 * * [simplify]: iters left: 5 (223 enodes) 281.910 * * [simplify]: Extracting #0: cost 1 inf + 0 281.910 * * [simplify]: Extracting #1: cost 3 inf + 0 281.910 * * [simplify]: Extracting #2: cost 6 inf + 0 281.910 * * [simplify]: Extracting #3: cost 52 inf + 0 281.910 * * [simplify]: Extracting #4: cost 135 inf + 0 281.911 * * [simplify]: Extracting #5: cost 191 inf + 126 281.912 * * [simplify]: Extracting #6: cost 232 inf + 6000 281.914 * * [simplify]: Extracting #7: cost 195 inf + 13960 281.918 * * [simplify]: Extracting #8: cost 127 inf + 26606 281.926 * * [simplify]: Extracting #9: cost 59 inf + 51665 281.959 * * [simplify]: Extracting #10: cost 9 inf + 94009 281.995 * * [simplify]: Extracting #11: cost 0 inf + 101506 282.018 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 282.018 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 282.019 * * * * [progress]: [ 396 / 5906 ] simplifiying candidate # 282.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 282.019 * * [simplify]: iters left: 6 (46 enodes) 282.032 * * [simplify]: iters left: 5 (223 enodes) 282.118 * * [simplify]: Extracting #0: cost 1 inf + 0 282.118 * * [simplify]: Extracting #1: cost 3 inf + 0 282.118 * * [simplify]: Extracting #2: cost 6 inf + 0 282.118 * * [simplify]: Extracting #3: cost 54 inf + 0 282.119 * * [simplify]: Extracting #4: cost 133 inf + 0 282.119 * * [simplify]: Extracting #5: cost 184 inf + 412 282.120 * * [simplify]: Extracting #6: cost 222 inf + 6391 282.122 * * [simplify]: Extracting #7: cost 192 inf + 14620 282.126 * * [simplify]: Extracting #8: cost 121 inf + 28091 282.138 * * [simplify]: Extracting #9: cost 57 inf + 52724 282.170 * * [simplify]: Extracting #10: cost 8 inf + 93147 282.203 * * [simplify]: Extracting #11: cost 0 inf + 99458 282.225 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))))))) 282.225 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 282.226 * * * * [progress]: [ 397 / 5906 ] simplifiying candidate # 282.226 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 282.226 * * [simplify]: iters left: 6 (40 enodes) 282.244 * * [simplify]: iters left: 5 (187 enodes) 282.297 * * [simplify]: Extracting #0: cost 1 inf + 0 282.297 * * [simplify]: Extracting #1: cost 3 inf + 0 282.297 * * [simplify]: Extracting #2: cost 6 inf + 0 282.297 * * [simplify]: Extracting #3: cost 46 inf + 0 282.297 * * [simplify]: Extracting #4: cost 101 inf + 0 282.298 * * [simplify]: Extracting #5: cost 134 inf + 166 282.298 * * [simplify]: Extracting #6: cost 182 inf + 1639 282.299 * * [simplify]: Extracting #7: cost 177 inf + 3348 282.305 * * [simplify]: Extracting #8: cost 115 inf + 19187 282.319 * * [simplify]: Extracting #9: cost 62 inf + 39456 282.338 * * [simplify]: Extracting #10: cost 15 inf + 65593 282.358 * * [simplify]: Extracting #11: cost 0 inf + 78557 282.380 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (- phi1 phi2) (+ phi2 phi1))))) 282.381 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (- phi1 phi2) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 282.381 * * * * [progress]: [ 398 / 5906 ] simplifiying candidate # 282.382 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 282.382 * * [simplify]: iters left: 6 (45 enodes) 282.394 * * [simplify]: iters left: 5 (216 enodes) 282.443 * * [simplify]: Extracting #0: cost 1 inf + 0 282.443 * * [simplify]: Extracting #1: cost 3 inf + 0 282.443 * * [simplify]: Extracting #2: cost 10 inf + 0 282.443 * * [simplify]: Extracting #3: cost 62 inf + 0 282.444 * * [simplify]: Extracting #4: cost 116 inf + 1 282.444 * * [simplify]: Extracting #5: cost 156 inf + 165 282.445 * * [simplify]: Extracting #6: cost 218 inf + 791 283.078 * * [simplify]: Extracting #7: cost 194 inf + 7599 283.088 * * [simplify]: Extracting #8: cost 101 inf + 35658 283.109 * * [simplify]: Extracting #9: cost 30 inf + 62463 283.141 * * [simplify]: Extracting #10: cost 2 inf + 89683 283.160 * * [simplify]: Extracting #11: cost 0 inf + 91493 283.188 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 283.188 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 283.189 * * * * [progress]: [ 399 / 5906 ] simplifiying candidate # 283.190 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 283.191 * * [simplify]: iters left: 6 (40 enodes) 283.209 * * [simplify]: iters left: 5 (188 enodes) 283.261 * * [simplify]: iters left: 4 (486 enodes) 283.564 * * [simplify]: Extracting #0: cost 1 inf + 0 283.564 * * [simplify]: Extracting #1: cost 3 inf + 0 283.564 * * [simplify]: Extracting #2: cost 13 inf + 0 283.565 * * [simplify]: Extracting #3: cost 110 inf + 0 283.566 * * [simplify]: Extracting #4: cost 242 inf + 85 283.569 * * [simplify]: Extracting #5: cost 342 inf + 2814 283.575 * * [simplify]: Extracting #6: cost 463 inf + 6228 283.592 * * [simplify]: Extracting #7: cost 525 inf + 13212 283.613 * * [simplify]: Extracting #8: cost 388 inf + 48735 283.659 * * [simplify]: Extracting #9: cost 182 inf + 142907 283.727 * * [simplify]: Extracting #10: cost 27 inf + 216105 283.816 * * [simplify]: Extracting #11: cost 2 inf + 238677 283.876 * * [simplify]: Extracting #12: cost 0 inf + 240887 283.954 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 283.954 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 283.955 * * * * [progress]: [ 400 / 5906 ] simplifiying candidate # 283.956 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 283.956 * * [simplify]: iters left: 6 (45 enodes) 283.979 * * [simplify]: iters left: 5 (216 enodes) 284.049 * * [simplify]: Extracting #0: cost 1 inf + 0 284.049 * * [simplify]: Extracting #1: cost 3 inf + 0 284.049 * * [simplify]: Extracting #2: cost 10 inf + 0 284.049 * * [simplify]: Extracting #3: cost 62 inf + 0 284.050 * * [simplify]: Extracting #4: cost 116 inf + 1 284.050 * * [simplify]: Extracting #5: cost 156 inf + 165 284.052 * * [simplify]: Extracting #6: cost 211 inf + 2488 284.054 * * [simplify]: Extracting #7: cost 187 inf + 9274 284.063 * * [simplify]: Extracting #8: cost 100 inf + 36682 284.082 * * [simplify]: Extracting #9: cost 27 inf + 65418 284.111 * * [simplify]: Extracting #10: cost 3 inf + 88898 284.143 * * [simplify]: Extracting #11: cost 0 inf + 92293 284.177 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 284.177 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 284.178 * * * * [progress]: [ 401 / 5906 ] simplifiying candidate # 284.179 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 284.179 * * [simplify]: iters left: 6 (40 enodes) 284.198 * * [simplify]: iters left: 5 (188 enodes) 284.249 * * [simplify]: iters left: 4 (486 enodes) 284.508 * * [simplify]: Extracting #0: cost 1 inf + 0 284.508 * * [simplify]: Extracting #1: cost 3 inf + 0 284.508 * * [simplify]: Extracting #2: cost 13 inf + 0 284.509 * * [simplify]: Extracting #3: cost 107 inf + 0 284.510 * * [simplify]: Extracting #4: cost 251 inf + 44 284.513 * * [simplify]: Extracting #5: cost 346 inf + 3420 284.519 * * [simplify]: Extracting #6: cost 469 inf + 6148 284.525 * * [simplify]: Extracting #7: cost 515 inf + 23315 284.550 * * [simplify]: Extracting #8: cost 222 inf + 124028 284.612 * * [simplify]: Extracting #9: cost 47 inf + 210012 284.675 * * [simplify]: Extracting #10: cost 3 inf + 241496 284.753 * * [simplify]: Extracting #11: cost 0 inf + 242905 284.832 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))) 284.833 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 284.833 * * * * [progress]: [ 402 / 5906 ] simplifiying candidate # 284.833 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 284.834 * * [simplify]: iters left: 6 (52 enodes) 284.849 * * [simplify]: iters left: 5 (255 enodes) 284.939 * * [simplify]: Extracting #0: cost 1 inf + 0 284.940 * * [simplify]: Extracting #1: cost 3 inf + 0 284.940 * * [simplify]: Extracting #2: cost 6 inf + 0 284.940 * * [simplify]: Extracting #3: cost 56 inf + 0 284.940 * * [simplify]: Extracting #4: cost 130 inf + 0 284.942 * * [simplify]: Extracting #5: cost 214 inf + 0 284.943 * * [simplify]: Extracting #6: cost 311 inf + 722 284.947 * * [simplify]: Extracting #7: cost 270 inf + 8365 284.961 * * [simplify]: Extracting #8: cost 141 inf + 39239 284.976 * * [simplify]: Extracting #9: cost 66 inf + 65277 284.996 * * [simplify]: Extracting #10: cost 18 inf + 110837 285.041 * * [simplify]: Extracting #11: cost 1 inf + 130260 285.096 * * [simplify]: Extracting #12: cost 0 inf + 132285 285.139 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 285.139 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 285.140 * * * * [progress]: [ 403 / 5906 ] simplifiying candidate # 285.140 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 285.141 * * [simplify]: iters left: 6 (53 enodes) 285.161 * * [simplify]: iters left: 5 (264 enodes) 285.270 * * [simplify]: Extracting #0: cost 1 inf + 0 285.270 * * [simplify]: Extracting #1: cost 3 inf + 0 285.270 * * [simplify]: Extracting #2: cost 6 inf + 0 285.270 * * [simplify]: Extracting #3: cost 60 inf + 0 285.270 * * [simplify]: Extracting #4: cost 153 inf + 0 285.271 * * [simplify]: Extracting #5: cost 228 inf + 44 285.272 * * [simplify]: Extracting #6: cost 288 inf + 4643 285.275 * * [simplify]: Extracting #7: cost 263 inf + 11179 285.279 * * [simplify]: Extracting #8: cost 184 inf + 24682 285.298 * * [simplify]: Extracting #9: cost 104 inf + 55395 285.313 * * [simplify]: Extracting #10: cost 55 inf + 77809 285.340 * * [simplify]: Extracting #11: cost 10 inf + 123452 285.380 * * [simplify]: Extracting #12: cost 0 inf + 135222 285.421 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 285.421 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 285.422 * * * * [progress]: [ 404 / 5906 ] simplifiying candidate # 285.422 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 285.422 * * [simplify]: iters left: 6 (53 enodes) 285.437 * * [simplify]: iters left: 5 (264 enodes) 285.512 * * [simplify]: Extracting #0: cost 1 inf + 0 285.512 * * [simplify]: Extracting #1: cost 3 inf + 0 285.512 * * [simplify]: Extracting #2: cost 6 inf + 0 285.513 * * [simplify]: Extracting #3: cost 62 inf + 0 285.513 * * [simplify]: Extracting #4: cost 151 inf + 0 285.513 * * [simplify]: Extracting #5: cost 224 inf + 44 285.515 * * [simplify]: Extracting #6: cost 292 inf + 3585 285.519 * * [simplify]: Extracting #7: cost 253 inf + 12117 285.529 * * [simplify]: Extracting #8: cost 164 inf + 31870 285.552 * * [simplify]: Extracting #9: cost 68 inf + 68024 285.596 * * [simplify]: Extracting #10: cost 10 inf + 122484 285.640 * * [simplify]: Extracting #11: cost 0 inf + 134494 285.668 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 285.668 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 285.668 * * * * [progress]: [ 405 / 5906 ] simplifiying candidate # 285.669 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 285.669 * * [simplify]: iters left: 6 (47 enodes) 285.682 * * [simplify]: iters left: 5 (228 enodes) 285.768 * * [simplify]: Extracting #0: cost 1 inf + 0 285.768 * * [simplify]: Extracting #1: cost 3 inf + 0 285.768 * * [simplify]: Extracting #2: cost 6 inf + 0 285.769 * * [simplify]: Extracting #3: cost 54 inf + 0 285.769 * * [simplify]: Extracting #4: cost 119 inf + 0 285.770 * * [simplify]: Extracting #5: cost 172 inf + 44 285.772 * * [simplify]: Extracting #6: cost 253 inf + 1273 285.775 * * [simplify]: Extracting #7: cost 240 inf + 3837 285.781 * * [simplify]: Extracting #8: cost 160 inf + 19876 285.796 * * [simplify]: Extracting #9: cost 99 inf + 40058 285.816 * * [simplify]: Extracting #10: cost 40 inf + 74120 285.838 * * [simplify]: Extracting #11: cost 3 inf + 106278 285.871 * * [simplify]: Extracting #12: cost 0 inf + 109553 285.898 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 285.898 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 285.900 * * * * [progress]: [ 406 / 5906 ] simplifiying candidate # 285.900 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 285.901 * * [simplify]: iters left: 6 (52 enodes) 285.932 * * [simplify]: iters left: 5 (256 enodes) 286.008 * * [simplify]: Extracting #0: cost 1 inf + 0 286.008 * * [simplify]: Extracting #1: cost 3 inf + 0 286.008 * * [simplify]: Extracting #2: cost 10 inf + 0 286.008 * * [simplify]: Extracting #3: cost 74 inf + 0 286.009 * * [simplify]: Extracting #4: cost 136 inf + 42 286.009 * * [simplify]: Extracting #5: cost 194 inf + 207 286.010 * * [simplify]: Extracting #6: cost 276 inf + 2804 286.012 * * [simplify]: Extracting #7: cost 251 inf + 8359 286.016 * * [simplify]: Extracting #8: cost 176 inf + 23203 286.023 * * [simplify]: Extracting #9: cost 115 inf + 42366 286.044 * * [simplify]: Extracting #10: cost 44 inf + 77506 286.084 * * [simplify]: Extracting #11: cost 11 inf + 113569 286.113 * * [simplify]: Extracting #12: cost 0 inf + 124684 286.159 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 286.159 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 286.160 * * * * [progress]: [ 407 / 5906 ] simplifiying candidate # 286.161 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 286.162 * * [simplify]: iters left: 6 (47 enodes) 286.186 * * [simplify]: iters left: 5 (228 enodes) 286.282 * * [simplify]: Extracting #0: cost 1 inf + 0 286.282 * * [simplify]: Extracting #1: cost 3 inf + 0 286.282 * * [simplify]: Extracting #2: cost 10 inf + 0 286.283 * * [simplify]: Extracting #3: cost 66 inf + 0 286.283 * * [simplify]: Extracting #4: cost 117 inf + 44 286.284 * * [simplify]: Extracting #5: cost 157 inf + 1186 286.286 * * [simplify]: Extracting #6: cost 241 inf + 2972 286.289 * * [simplify]: Extracting #7: cost 241 inf + 3587 286.296 * * [simplify]: Extracting #8: cost 144 inf + 24435 286.313 * * [simplify]: Extracting #9: cost 65 inf + 54421 286.343 * * [simplify]: Extracting #10: cost 13 inf + 91285 286.368 * * [simplify]: Extracting #11: cost 1 inf + 101818 286.394 * * [simplify]: Extracting #12: cost 0 inf + 103603 286.436 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 286.436 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 286.437 * * * * [progress]: [ 408 / 5906 ] simplifiying candidate # 286.437 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 286.437 * * [simplify]: iters left: 6 (52 enodes) 286.451 * * [simplify]: iters left: 5 (256 enodes) 286.544 * * [simplify]: Extracting #0: cost 1 inf + 0 286.544 * * [simplify]: Extracting #1: cost 3 inf + 0 286.544 * * [simplify]: Extracting #2: cost 10 inf + 0 286.544 * * [simplify]: Extracting #3: cost 74 inf + 0 286.545 * * [simplify]: Extracting #4: cost 136 inf + 42 286.546 * * [simplify]: Extracting #5: cost 194 inf + 207 286.548 * * [simplify]: Extracting #6: cost 271 inf + 3531 286.552 * * [simplify]: Extracting #7: cost 251 inf + 8479 286.558 * * [simplify]: Extracting #8: cost 176 inf + 23203 286.570 * * [simplify]: Extracting #9: cost 116 inf + 41522 286.588 * * [simplify]: Extracting #10: cost 43 inf + 78571 286.610 * * [simplify]: Extracting #11: cost 12 inf + 113784 286.651 * * [simplify]: Extracting #12: cost 0 inf + 125644 286.690 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 286.690 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 286.691 * * * * [progress]: [ 409 / 5906 ] simplifiying candidate # 286.691 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 286.691 * * [simplify]: iters left: 6 (47 enodes) 286.704 * * [simplify]: iters left: 5 (228 enodes) 286.785 * * [simplify]: Extracting #0: cost 1 inf + 0 286.785 * * [simplify]: Extracting #1: cost 3 inf + 0 286.785 * * [simplify]: Extracting #2: cost 10 inf + 0 286.785 * * [simplify]: Extracting #3: cost 65 inf + 0 286.786 * * [simplify]: Extracting #4: cost 116 inf + 86 286.787 * * [simplify]: Extracting #5: cost 152 inf + 1876 286.793 * * [simplify]: Extracting #6: cost 241 inf + 2932 286.796 * * [simplify]: Extracting #7: cost 242 inf + 3466 286.803 * * [simplify]: Extracting #8: cost 145 inf + 23909 286.821 * * [simplify]: Extracting #9: cost 64 inf + 55012 286.852 * * [simplify]: Extracting #10: cost 14 inf + 90740 286.891 * * [simplify]: Extracting #11: cost 1 inf + 102058 286.912 * * [simplify]: Extracting #12: cost 0 inf + 103843 286.940 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 286.940 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 286.941 * * * * [progress]: [ 410 / 5906 ] simplifiying candidate # 286.941 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 286.942 * * [simplify]: iters left: 6 (52 enodes) 286.972 * * [simplify]: iters left: 5 (254 enodes) 287.058 * * [simplify]: Extracting #0: cost 1 inf + 0 287.058 * * [simplify]: Extracting #1: cost 3 inf + 0 287.058 * * [simplify]: Extracting #2: cost 6 inf + 0 287.058 * * [simplify]: Extracting #3: cost 56 inf + 0 287.059 * * [simplify]: Extracting #4: cost 130 inf + 0 287.060 * * [simplify]: Extracting #5: cost 215 inf + 0 287.061 * * [simplify]: Extracting #6: cost 302 inf + 1688 287.068 * * [simplify]: Extracting #7: cost 255 inf + 12227 287.078 * * [simplify]: Extracting #8: cost 149 inf + 33413 287.099 * * [simplify]: Extracting #9: cost 68 inf + 63514 287.121 * * [simplify]: Extracting #10: cost 17 inf + 108865 287.159 * * [simplify]: Extracting #11: cost 1 inf + 126423 287.203 * * [simplify]: Extracting #12: cost 0 inf + 128368 287.239 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 287.239 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 287.241 * * * * [progress]: [ 411 / 5906 ] simplifiying candidate # 287.241 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 287.242 * * [simplify]: iters left: 6 (53 enodes) 287.271 * * [simplify]: iters left: 5 (263 enodes) 287.393 * * [simplify]: Extracting #0: cost 1 inf + 0 287.393 * * [simplify]: Extracting #1: cost 3 inf + 0 287.393 * * [simplify]: Extracting #2: cost 6 inf + 0 287.393 * * [simplify]: Extracting #3: cost 60 inf + 0 287.393 * * [simplify]: Extracting #4: cost 153 inf + 0 287.394 * * [simplify]: Extracting #5: cost 228 inf + 85 287.397 * * [simplify]: Extracting #6: cost 280 inf + 4562 287.401 * * [simplify]: Extracting #7: cost 253 inf + 12405 287.406 * * [simplify]: Extracting #8: cost 175 inf + 25107 287.415 * * [simplify]: Extracting #9: cost 107 inf + 52412 287.430 * * [simplify]: Extracting #10: cost 48 inf + 81305 287.476 * * [simplify]: Extracting #11: cost 9 inf + 122120 287.509 * * [simplify]: Extracting #12: cost 0 inf + 133145 287.565 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 287.565 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 287.566 * * * * [progress]: [ 412 / 5906 ] simplifiying candidate # 287.567 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 287.568 * * [simplify]: iters left: 6 (53 enodes) 287.597 * * [simplify]: iters left: 5 (263 enodes) 287.692 * * [simplify]: Extracting #0: cost 1 inf + 0 287.692 * * [simplify]: Extracting #1: cost 3 inf + 0 287.692 * * [simplify]: Extracting #2: cost 6 inf + 0 287.692 * * [simplify]: Extracting #3: cost 62 inf + 0 287.692 * * [simplify]: Extracting #4: cost 151 inf + 0 287.694 * * [simplify]: Extracting #5: cost 225 inf + 44 287.697 * * [simplify]: Extracting #6: cost 284 inf + 3549 287.702 * * [simplify]: Extracting #7: cost 250 inf + 12062 287.711 * * [simplify]: Extracting #8: cost 177 inf + 25411 287.729 * * [simplify]: Extracting #9: cost 104 inf + 52434 287.744 * * [simplify]: Extracting #10: cost 53 inf + 76974 287.761 * * [simplify]: Extracting #11: cost 36 inf + 89157 287.811 * * [simplify]: Extracting #12: cost 3 inf + 126422 287.864 * * [simplify]: Extracting #13: cost 0 inf + 131857 287.918 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 287.918 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 287.919 * * * * [progress]: [ 413 / 5906 ] simplifiying candidate # 287.920 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 287.921 * * [simplify]: iters left: 6 (47 enodes) 287.946 * * [simplify]: iters left: 5 (227 enodes) 288.046 * * [simplify]: Extracting #0: cost 1 inf + 0 288.047 * * [simplify]: Extracting #1: cost 3 inf + 0 288.047 * * [simplify]: Extracting #2: cost 6 inf + 0 288.047 * * [simplify]: Extracting #3: cost 54 inf + 0 288.047 * * [simplify]: Extracting #4: cost 119 inf + 0 288.048 * * [simplify]: Extracting #5: cost 173 inf + 44 288.050 * * [simplify]: Extracting #6: cost 247 inf + 1193 288.052 * * [simplify]: Extracting #7: cost 230 inf + 4121 288.060 * * [simplify]: Extracting #8: cost 138 inf + 25008 288.078 * * [simplify]: Extracting #9: cost 68 inf + 53494 288.106 * * [simplify]: Extracting #10: cost 26 inf + 82331 288.154 * * [simplify]: Extracting #11: cost 1 inf + 108331 288.199 * * [simplify]: Extracting #12: cost 0 inf + 109716 288.241 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) 288.241 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 288.241 * * * * [progress]: [ 414 / 5906 ] simplifiying candidate # 288.242 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 288.242 * * [simplify]: iters left: 6 (52 enodes) 288.256 * * [simplify]: iters left: 5 (255 enodes) 288.349 * * [simplify]: Extracting #0: cost 1 inf + 0 288.349 * * [simplify]: Extracting #1: cost 3 inf + 0 288.349 * * [simplify]: Extracting #2: cost 10 inf + 0 288.350 * * [simplify]: Extracting #3: cost 74 inf + 0 288.350 * * [simplify]: Extracting #4: cost 137 inf + 1 288.351 * * [simplify]: Extracting #5: cost 195 inf + 207 288.353 * * [simplify]: Extracting #6: cost 265 inf + 3010 288.357 * * [simplify]: Extracting #7: cost 249 inf + 7378 288.363 * * [simplify]: Extracting #8: cost 168 inf + 22073 288.376 * * [simplify]: Extracting #9: cost 109 inf + 43162 288.400 * * [simplify]: Extracting #10: cost 51 inf + 71452 288.434 * * [simplify]: Extracting #11: cost 29 inf + 91202 288.477 * * [simplify]: Extracting #12: cost 1 inf + 121462 288.509 * * [simplify]: Extracting #13: cost 0 inf + 123407 288.539 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 288.539 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 288.540 * * * * [progress]: [ 415 / 5906 ] simplifiying candidate # 288.540 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 288.540 * * [simplify]: iters left: 6 (47 enodes) 288.556 * * [simplify]: iters left: 5 (227 enodes) 288.647 * * [simplify]: Extracting #0: cost 1 inf + 0 288.647 * * [simplify]: Extracting #1: cost 3 inf + 0 288.647 * * [simplify]: Extracting #2: cost 10 inf + 0 288.647 * * [simplify]: Extracting #3: cost 66 inf + 0 288.648 * * [simplify]: Extracting #4: cost 117 inf + 44 288.648 * * [simplify]: Extracting #5: cost 157 inf + 1228 288.649 * * [simplify]: Extracting #6: cost 234 inf + 2932 288.651 * * [simplify]: Extracting #7: cost 233 inf + 3591 288.654 * * [simplify]: Extracting #8: cost 145 inf + 21402 288.663 * * [simplify]: Extracting #9: cost 60 inf + 56601 288.687 * * [simplify]: Extracting #10: cost 14 inf + 89838 288.709 * * [simplify]: Extracting #11: cost 1 inf + 100621 288.745 * * [simplify]: Extracting #12: cost 0 inf + 102406 288.787 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 288.787 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 288.788 * * * * [progress]: [ 416 / 5906 ] simplifiying candidate # 288.788 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 288.789 * * [simplify]: iters left: 6 (52 enodes) 288.815 * * [simplify]: iters left: 5 (255 enodes) 288.901 * * [simplify]: Extracting #0: cost 1 inf + 0 288.901 * * [simplify]: Extracting #1: cost 3 inf + 0 288.901 * * [simplify]: Extracting #2: cost 10 inf + 0 288.902 * * [simplify]: Extracting #3: cost 74 inf + 0 288.902 * * [simplify]: Extracting #4: cost 137 inf + 1 288.903 * * [simplify]: Extracting #5: cost 195 inf + 207 288.905 * * [simplify]: Extracting #6: cost 266 inf + 2927 288.909 * * [simplify]: Extracting #7: cost 246 inf + 8626 288.915 * * [simplify]: Extracting #8: cost 166 inf + 21836 288.927 * * [simplify]: Extracting #9: cost 114 inf + 40108 288.948 * * [simplify]: Extracting #10: cost 63 inf + 63585 288.978 * * [simplify]: Extracting #11: cost 35 inf + 83172 289.022 * * [simplify]: Extracting #12: cost 3 inf + 119172 289.073 * * [simplify]: Extracting #13: cost 0 inf + 124367 289.123 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 289.123 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 289.125 * * * * [progress]: [ 417 / 5906 ] simplifiying candidate # 289.125 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 289.126 * * [simplify]: iters left: 6 (47 enodes) 289.152 * * [simplify]: iters left: 5 (227 enodes) 289.230 * * [simplify]: Extracting #0: cost 1 inf + 0 289.230 * * [simplify]: Extracting #1: cost 3 inf + 0 289.231 * * [simplify]: Extracting #2: cost 10 inf + 0 289.231 * * [simplify]: Extracting #3: cost 65 inf + 0 289.231 * * [simplify]: Extracting #4: cost 116 inf + 86 289.232 * * [simplify]: Extracting #5: cost 153 inf + 1836 289.235 * * [simplify]: Extracting #6: cost 234 inf + 2932 289.237 * * [simplify]: Extracting #7: cost 233 inf + 3591 289.244 * * [simplify]: Extracting #8: cost 145 inf + 21523 289.261 * * [simplify]: Extracting #9: cost 60 inf + 56843 289.292 * * [simplify]: Extracting #10: cost 14 inf + 89876 289.329 * * [simplify]: Extracting #11: cost 1 inf + 101021 289.352 * * [simplify]: Extracting #12: cost 0 inf + 102806 289.386 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 289.387 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 289.387 * * * * [progress]: [ 418 / 5906 ] simplifiying candidate # 289.387 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 289.388 * * [simplify]: iters left: 6 (52 enodes) 289.402 * * [simplify]: iters left: 5 (255 enodes) 289.488 * * [simplify]: Extracting #0: cost 1 inf + 0 289.488 * * [simplify]: Extracting #1: cost 3 inf + 0 289.488 * * [simplify]: Extracting #2: cost 6 inf + 0 289.488 * * [simplify]: Extracting #3: cost 56 inf + 0 289.489 * * [simplify]: Extracting #4: cost 130 inf + 0 289.490 * * [simplify]: Extracting #5: cost 207 inf + 0 289.492 * * [simplify]: Extracting #6: cost 298 inf + 933 289.495 * * [simplify]: Extracting #7: cost 262 inf + 7787 289.504 * * [simplify]: Extracting #8: cost 149 inf + 34798 289.523 * * [simplify]: Extracting #9: cost 68 inf + 62935 289.553 * * [simplify]: Extracting #10: cost 20 inf + 104800 289.582 * * [simplify]: Extracting #11: cost 4 inf + 120306 289.608 * * [simplify]: Extracting #12: cost 0 inf + 127145 289.657 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 289.657 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 289.658 * * * * [progress]: [ 419 / 5906 ] simplifiying candidate # 289.658 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 289.659 * * [simplify]: iters left: 6 (53 enodes) 289.688 * * [simplify]: iters left: 5 (264 enodes) 289.777 * * [simplify]: Extracting #0: cost 1 inf + 0 289.777 * * [simplify]: Extracting #1: cost 3 inf + 0 289.777 * * [simplify]: Extracting #2: cost 6 inf + 0 289.777 * * [simplify]: Extracting #3: cost 60 inf + 0 289.778 * * [simplify]: Extracting #4: cost 153 inf + 0 289.779 * * [simplify]: Extracting #5: cost 221 inf + 44 289.782 * * [simplify]: Extracting #6: cost 275 inf + 4803 289.787 * * [simplify]: Extracting #7: cost 243 inf + 11600 289.794 * * [simplify]: Extracting #8: cost 177 inf + 25254 289.801 * * [simplify]: Extracting #9: cost 116 inf + 44527 289.817 * * [simplify]: Extracting #10: cost 52 inf + 75264 289.847 * * [simplify]: Extracting #11: cost 8 inf + 120282 289.881 * * [simplify]: Extracting #12: cost 0 inf + 129962 289.909 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 289.909 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 289.909 * * * * [progress]: [ 420 / 5906 ] simplifiying candidate # 289.910 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 289.910 * * [simplify]: iters left: 6 (53 enodes) 289.936 * * [simplify]: iters left: 5 (264 enodes) 290.008 * * [simplify]: Extracting #0: cost 1 inf + 0 290.008 * * [simplify]: Extracting #1: cost 3 inf + 0 290.008 * * [simplify]: Extracting #2: cost 6 inf + 0 290.008 * * [simplify]: Extracting #3: cost 62 inf + 0 290.008 * * [simplify]: Extracting #4: cost 151 inf + 0 290.009 * * [simplify]: Extracting #5: cost 217 inf + 44 290.011 * * [simplify]: Extracting #6: cost 274 inf + 4475 290.013 * * [simplify]: Extracting #7: cost 243 inf + 11912 290.021 * * [simplify]: Extracting #8: cost 179 inf + 23430 290.029 * * [simplify]: Extracting #9: cost 119 inf + 43727 290.042 * * [simplify]: Extracting #10: cost 52 inf + 75056 290.061 * * [simplify]: Extracting #11: cost 15 inf + 112259 290.097 * * [simplify]: Extracting #12: cost 0 inf + 127994 290.147 * * [simplify]: Extracting #13: cost 0 inf + 127554 290.197 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 290.197 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 290.198 * * * * [progress]: [ 421 / 5906 ] simplifiying candidate # 290.198 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 290.199 * * [simplify]: iters left: 6 (47 enodes) 290.225 * * [simplify]: iters left: 5 (228 enodes) 290.306 * * [simplify]: Extracting #0: cost 1 inf + 0 290.306 * * [simplify]: Extracting #1: cost 3 inf + 0 290.306 * * [simplify]: Extracting #2: cost 6 inf + 0 290.306 * * [simplify]: Extracting #3: cost 54 inf + 0 290.306 * * [simplify]: Extracting #4: cost 119 inf + 0 290.306 * * [simplify]: Extracting #5: cost 165 inf + 44 290.307 * * [simplify]: Extracting #6: cost 241 inf + 1152 290.309 * * [simplify]: Extracting #7: cost 224 inf + 4001 290.316 * * [simplify]: Extracting #8: cost 161 inf + 20139 290.331 * * [simplify]: Extracting #9: cost 83 inf + 48109 290.353 * * [simplify]: Extracting #10: cost 46 inf + 61756 290.380 * * [simplify]: Extracting #11: cost 27 inf + 74218 290.404 * * [simplify]: Extracting #12: cost 3 inf + 99938 290.435 * * [simplify]: Extracting #13: cost 1 inf + 103628 290.474 * * [simplify]: Extracting #14: cost 0 inf + 105493 290.496 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 290.496 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 290.497 * * * * [progress]: [ 422 / 5906 ] simplifiying candidate # 290.498 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 290.498 * * [simplify]: iters left: 6 (52 enodes) 290.526 * * [simplify]: iters left: 5 (256 enodes) 290.620 * * [simplify]: Extracting #0: cost 1 inf + 0 290.620 * * [simplify]: Extracting #1: cost 3 inf + 0 290.620 * * [simplify]: Extracting #2: cost 10 inf + 0 290.620 * * [simplify]: Extracting #3: cost 74 inf + 0 290.620 * * [simplify]: Extracting #4: cost 137 inf + 1 290.621 * * [simplify]: Extracting #5: cost 187 inf + 207 290.622 * * [simplify]: Extracting #6: cost 265 inf + 2080 290.624 * * [simplify]: Extracting #7: cost 233 inf + 9522 290.631 * * [simplify]: Extracting #8: cost 145 inf + 34200 290.641 * * [simplify]: Extracting #9: cost 62 inf + 63799 290.662 * * [simplify]: Extracting #10: cost 9 inf + 108262 290.699 * * [simplify]: Extracting #11: cost 0 inf + 119904 290.733 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 290.733 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 290.734 * * * * [progress]: [ 423 / 5906 ] simplifiying candidate # 290.735 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 290.735 * * [simplify]: iters left: 6 (47 enodes) 290.760 * * [simplify]: iters left: 5 (228 enodes) 290.835 * * [simplify]: Extracting #0: cost 1 inf + 0 290.835 * * [simplify]: Extracting #1: cost 3 inf + 0 290.835 * * [simplify]: Extracting #2: cost 10 inf + 0 290.836 * * [simplify]: Extracting #3: cost 66 inf + 0 290.836 * * [simplify]: Extracting #4: cost 117 inf + 44 290.842 * * [simplify]: Extracting #5: cost 147 inf + 1552 290.843 * * [simplify]: Extracting #6: cost 228 inf + 2932 290.845 * * [simplify]: Extracting #7: cost 232 inf + 3262 290.847 * * [simplify]: Extracting #8: cost 169 inf + 17436 290.854 * * [simplify]: Extracting #9: cost 87 inf + 41660 290.873 * * [simplify]: Extracting #10: cost 28 inf + 74527 290.899 * * [simplify]: Extracting #11: cost 2 inf + 95933 290.919 * * [simplify]: Extracting #12: cost 0 inf + 99463 290.942 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1))))) 290.942 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 290.942 * * * * [progress]: [ 424 / 5906 ] simplifiying candidate # 290.943 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 290.943 * * [simplify]: iters left: 6 (52 enodes) 290.959 * * [simplify]: iters left: 5 (256 enodes) 291.026 * * [simplify]: Extracting #0: cost 1 inf + 0 291.026 * * [simplify]: Extracting #1: cost 3 inf + 0 291.026 * * [simplify]: Extracting #2: cost 10 inf + 0 291.026 * * [simplify]: Extracting #3: cost 74 inf + 0 291.027 * * [simplify]: Extracting #4: cost 137 inf + 1 291.027 * * [simplify]: Extracting #5: cost 188 inf + 165 291.028 * * [simplify]: Extracting #6: cost 268 inf + 1513 291.030 * * [simplify]: Extracting #7: cost 243 inf + 6740 291.037 * * [simplify]: Extracting #8: cost 146 inf + 35195 291.047 * * [simplify]: Extracting #9: cost 62 inf + 63639 291.074 * * [simplify]: Extracting #10: cost 9 inf + 108902 291.104 * * [simplify]: Extracting #11: cost 0 inf + 120704 291.152 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 291.152 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 291.153 * * * * [progress]: [ 425 / 5906 ] simplifiying candidate # 291.153 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 291.154 * * [simplify]: iters left: 6 (47 enodes) 291.179 * * [simplify]: iters left: 5 (228 enodes) 291.251 * * [simplify]: Extracting #0: cost 1 inf + 0 291.251 * * [simplify]: Extracting #1: cost 3 inf + 0 291.252 * * [simplify]: Extracting #2: cost 10 inf + 0 291.252 * * [simplify]: Extracting #3: cost 65 inf + 0 291.252 * * [simplify]: Extracting #4: cost 117 inf + 44 291.253 * * [simplify]: Extracting #5: cost 152 inf + 862 291.254 * * [simplify]: Extracting #6: cost 230 inf + 2648 291.255 * * [simplify]: Extracting #7: cost 231 inf + 3302 291.257 * * [simplify]: Extracting #8: cost 198 inf + 7970 291.261 * * [simplify]: Extracting #9: cost 128 inf + 26746 291.271 * * [simplify]: Extracting #10: cost 47 inf + 59673 291.302 * * [simplify]: Extracting #11: cost 11 inf + 87948 291.338 * * [simplify]: Extracting #12: cost 1 inf + 98318 291.359 * * [simplify]: Extracting #13: cost 0 inf + 99983 291.389 * * [simplify]: Extracting #14: cost 0 inf + 99863 291.427 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1))))) 291.427 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 291.428 * * * * [progress]: [ 426 / 5906 ] simplifiying candidate # 291.429 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 291.429 * * [simplify]: iters left: 6 (47 enodes) 291.457 * * [simplify]: iters left: 5 (226 enodes) 291.526 * * [simplify]: Extracting #0: cost 1 inf + 0 291.526 * * [simplify]: Extracting #1: cost 3 inf + 0 291.527 * * [simplify]: Extracting #2: cost 6 inf + 0 291.527 * * [simplify]: Extracting #3: cost 54 inf + 0 291.527 * * [simplify]: Extracting #4: cost 123 inf + 0 291.528 * * [simplify]: Extracting #5: cost 188 inf + 0 291.529 * * [simplify]: Extracting #6: cost 254 inf + 1138 291.532 * * [simplify]: Extracting #7: cost 227 inf + 7662 291.537 * * [simplify]: Extracting #8: cost 162 inf + 19597 291.546 * * [simplify]: Extracting #9: cost 127 inf + 26759 291.558 * * [simplify]: Extracting #10: cost 89 inf + 41892 291.581 * * [simplify]: Extracting #11: cost 52 inf + 59737 291.601 * * [simplify]: Extracting #12: cost 35 inf + 72360 291.620 * * [simplify]: Extracting #13: cost 4 inf + 101375 291.652 * * [simplify]: Extracting #14: cost 1 inf + 105730 291.679 * * [simplify]: Extracting #15: cost 0 inf + 107435 291.701 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) 291.701 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 291.702 * * * * [progress]: [ 427 / 5906 ] simplifiying candidate # 291.702 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 291.703 * * [simplify]: iters left: 6 (48 enodes) 291.718 * * [simplify]: iters left: 5 (235 enodes) 291.778 * * [simplify]: Extracting #0: cost 1 inf + 0 291.778 * * [simplify]: Extracting #1: cost 3 inf + 0 291.778 * * [simplify]: Extracting #2: cost 6 inf + 0 291.779 * * [simplify]: Extracting #3: cost 58 inf + 0 291.779 * * [simplify]: Extracting #4: cost 146 inf + 0 291.781 * * [simplify]: Extracting #5: cost 196 inf + 454 291.783 * * [simplify]: Extracting #6: cost 235 inf + 4481 291.787 * * [simplify]: Extracting #7: cost 214 inf + 10451 291.794 * * [simplify]: Extracting #8: cost 168 inf + 20156 291.806 * * [simplify]: Extracting #9: cost 108 inf + 37352 291.817 * * [simplify]: Extracting #10: cost 52 inf + 63798 291.835 * * [simplify]: Extracting #11: cost 10 inf + 101282 291.869 * * [simplify]: Extracting #12: cost 0 inf + 110612 291.891 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 291.891 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 291.892 * * * * [progress]: [ 428 / 5906 ] simplifiying candidate # 291.892 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 291.893 * * [simplify]: iters left: 6 (48 enodes) 291.914 * * [simplify]: iters left: 5 (235 enodes) 291.997 * * [simplify]: Extracting #0: cost 1 inf + 0 291.997 * * [simplify]: Extracting #1: cost 3 inf + 0 291.997 * * [simplify]: Extracting #2: cost 6 inf + 0 291.997 * * [simplify]: Extracting #3: cost 60 inf + 0 291.997 * * [simplify]: Extracting #4: cost 144 inf + 0 291.998 * * [simplify]: Extracting #5: cost 193 inf + 332 291.999 * * [simplify]: Extracting #6: cost 234 inf + 4115 292.001 * * [simplify]: Extracting #7: cost 214 inf + 10175 292.005 * * [simplify]: Extracting #8: cost 151 inf + 26539 292.020 * * [simplify]: Extracting #9: cost 63 inf + 58492 292.058 * * [simplify]: Extracting #10: cost 15 inf + 97003 292.084 * * [simplify]: Extracting #11: cost 0 inf + 108284 292.123 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 292.124 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 292.125 * * * * [progress]: [ 429 / 5906 ] simplifiying candidate # 292.125 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 292.126 * * [simplify]: iters left: 6 (42 enodes) 292.147 * * [simplify]: iters left: 5 (199 enodes) 292.207 * * [simplify]: Extracting #0: cost 1 inf + 0 292.207 * * [simplify]: Extracting #1: cost 3 inf + 0 292.207 * * [simplify]: Extracting #2: cost 6 inf + 0 292.207 * * [simplify]: Extracting #3: cost 55 inf + 0 292.208 * * [simplify]: Extracting #4: cost 117 inf + 0 292.208 * * [simplify]: Extracting #5: cost 151 inf + 44 292.210 * * [simplify]: Extracting #6: cost 207 inf + 1072 292.212 * * [simplify]: Extracting #7: cost 202 inf + 2939 292.216 * * [simplify]: Extracting #8: cost 167 inf + 7805 292.224 * * [simplify]: Extracting #9: cost 109 inf + 27696 292.253 * * [simplify]: Extracting #10: cost 12 inf + 84509 292.289 * * [simplify]: Extracting #11: cost 0 inf + 91628 292.326 * * [simplify]: Extracting #12: cost 0 inf + 91348 292.353 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 292.353 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 292.353 * * * * [progress]: [ 430 / 5906 ] simplifiying candidate # 292.354 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 292.354 * * [simplify]: iters left: 6 (47 enodes) 292.367 * * [simplify]: iters left: 5 (227 enodes) 292.434 * * [simplify]: Extracting #0: cost 1 inf + 0 292.434 * * [simplify]: Extracting #1: cost 3 inf + 0 292.434 * * [simplify]: Extracting #2: cost 10 inf + 0 292.434 * * [simplify]: Extracting #3: cost 72 inf + 0 292.435 * * [simplify]: Extracting #4: cost 129 inf + 42 292.435 * * [simplify]: Extracting #5: cost 165 inf + 331 292.436 * * [simplify]: Extracting #6: cost 220 inf + 2687 292.438 * * [simplify]: Extracting #7: cost 210 inf + 5663 292.443 * * [simplify]: Extracting #8: cost 143 inf + 21236 292.450 * * [simplify]: Extracting #9: cost 70 inf + 48309 292.471 * * [simplify]: Extracting #10: cost 33 inf + 73564 292.490 * * [simplify]: Extracting #11: cost 5 inf + 100493 292.518 * * [simplify]: Extracting #12: cost 1 inf + 101453 292.542 * * [simplify]: Extracting #13: cost 0 inf + 102285 292.573 * * [simplify]: Extracting #14: cost 0 inf + 101994 292.597 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 292.597 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 292.598 * * * * [progress]: [ 431 / 5906 ] simplifiying candidate # 292.598 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 292.599 * * [simplify]: iters left: 6 (42 enodes) 292.610 * * [simplify]: iters left: 5 (199 enodes) 292.692 * * [simplify]: Extracting #0: cost 1 inf + 0 292.692 * * [simplify]: Extracting #1: cost 3 inf + 0 292.692 * * [simplify]: Extracting #2: cost 10 inf + 0 292.692 * * [simplify]: Extracting #3: cost 67 inf + 0 292.693 * * [simplify]: Extracting #4: cost 121 inf + 86 292.694 * * [simplify]: Extracting #5: cost 139 inf + 1554 292.696 * * [simplify]: Extracting #6: cost 200 inf + 2932 292.698 * * [simplify]: Extracting #7: cost 206 inf + 3100 292.710 * * [simplify]: Extracting #8: cost 121 inf + 26159 292.738 * * [simplify]: Extracting #9: cost 29 inf + 75307 292.758 * * [simplify]: Extracting #10: cost 4 inf + 90063 292.785 * * [simplify]: Extracting #11: cost 0 inf + 91413 292.805 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 292.805 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 292.806 * * * * [progress]: [ 432 / 5906 ] simplifiying candidate # 292.806 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 292.806 * * [simplify]: iters left: 6 (47 enodes) 292.824 * * [simplify]: iters left: 5 (227 enodes) 292.892 * * [simplify]: Extracting #0: cost 1 inf + 0 292.892 * * [simplify]: Extracting #1: cost 3 inf + 0 292.892 * * [simplify]: Extracting #2: cost 10 inf + 0 292.892 * * [simplify]: Extracting #3: cost 72 inf + 0 292.893 * * [simplify]: Extracting #4: cost 129 inf + 42 292.894 * * [simplify]: Extracting #5: cost 164 inf + 494 292.896 * * [simplify]: Extracting #6: cost 213 inf + 4061 292.901 * * [simplify]: Extracting #7: cost 209 inf + 6006 292.907 * * [simplify]: Extracting #8: cost 140 inf + 22025 292.915 * * [simplify]: Extracting #9: cost 68 inf + 49525 292.927 * * [simplify]: Extracting #10: cost 33 inf + 74204 292.950 * * [simplify]: Extracting #11: cost 5 inf + 101453 292.989 * * [simplify]: Extracting #12: cost 1 inf + 102413 293.028 * * [simplify]: Extracting #13: cost 0 inf + 103245 293.067 * * [simplify]: Extracting #14: cost 0 inf + 102954 293.105 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 293.105 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 293.106 * * * * [progress]: [ 433 / 5906 ] simplifiying candidate # 293.107 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 293.107 * * [simplify]: iters left: 6 (42 enodes) 293.130 * * [simplify]: iters left: 5 (199 enodes) 293.200 * * [simplify]: Extracting #0: cost 1 inf + 0 293.200 * * [simplify]: Extracting #1: cost 3 inf + 0 293.200 * * [simplify]: Extracting #2: cost 10 inf + 0 293.200 * * [simplify]: Extracting #3: cost 66 inf + 0 293.201 * * [simplify]: Extracting #4: cost 122 inf + 44 293.201 * * [simplify]: Extracting #5: cost 145 inf + 782 293.202 * * [simplify]: Extracting #6: cost 201 inf + 2770 293.203 * * [simplify]: Extracting #7: cost 205 inf + 3141 293.207 * * [simplify]: Extracting #8: cost 121 inf + 26263 293.226 * * [simplify]: Extracting #9: cost 33 inf + 74232 293.255 * * [simplify]: Extracting #10: cost 5 inf + 89979 293.277 * * [simplify]: Extracting #11: cost 0 inf + 91813 293.306 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 293.306 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 293.307 * * * * [progress]: [ 434 / 5906 ] simplifiying candidate # 293.308 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 293.308 * * [simplify]: iters left: 6 (51 enodes) 293.334 * * [simplify]: iters left: 5 (245 enodes) 293.394 * * [simplify]: Extracting #0: cost 1 inf + 0 293.394 * * [simplify]: Extracting #1: cost 3 inf + 0 293.394 * * [simplify]: Extracting #2: cost 6 inf + 0 293.394 * * [simplify]: Extracting #3: cost 56 inf + 0 293.394 * * [simplify]: Extracting #4: cost 130 inf + 0 293.395 * * [simplify]: Extracting #5: cost 205 inf + 0 293.395 * * [simplify]: Extracting #6: cost 277 inf + 1094 293.398 * * [simplify]: Extracting #7: cost 204 inf + 15330 293.403 * * [simplify]: Extracting #8: cost 135 inf + 37476 293.412 * * [simplify]: Extracting #9: cost 86 inf + 54814 293.423 * * [simplify]: Extracting #10: cost 57 inf + 64808 293.437 * * [simplify]: Extracting #11: cost 36 inf + 79253 293.458 * * [simplify]: Extracting #12: cost 7 inf + 112538 293.506 * * [simplify]: Extracting #13: cost 1 inf + 121288 293.531 * * [simplify]: Extracting #14: cost 0 inf + 123273 293.574 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 293.574 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 293.575 * * * * [progress]: [ 435 / 5906 ] simplifiying candidate # 293.575 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 293.576 * * [simplify]: iters left: 6 (52 enodes) 293.599 * * [simplify]: iters left: 5 (254 enodes) 293.674 * * [simplify]: Extracting #0: cost 1 inf + 0 293.674 * * [simplify]: Extracting #1: cost 3 inf + 0 293.674 * * [simplify]: Extracting #2: cost 6 inf + 0 293.674 * * [simplify]: Extracting #3: cost 60 inf + 0 293.674 * * [simplify]: Extracting #4: cost 153 inf + 0 293.675 * * [simplify]: Extracting #5: cost 219 inf + 44 293.676 * * [simplify]: Extracting #6: cost 264 inf + 3555 293.680 * * [simplify]: Extracting #7: cost 196 inf + 15960 293.685 * * [simplify]: Extracting #8: cost 141 inf + 33991 293.700 * * [simplify]: Extracting #9: cost 94 inf + 55611 293.729 * * [simplify]: Extracting #10: cost 52 inf + 72390 293.767 * * [simplify]: Extracting #11: cost 12 inf + 109910 293.803 * * [simplify]: Extracting #12: cost 1 inf + 123905 293.837 * * [simplify]: Extracting #13: cost 0 inf + 125970 293.872 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) 293.872 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 293.872 * * * * [progress]: [ 436 / 5906 ] simplifiying candidate # 293.873 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 293.873 * * [simplify]: iters left: 6 (52 enodes) 293.900 * * [simplify]: iters left: 5 (254 enodes) 293.981 * * [simplify]: Extracting #0: cost 1 inf + 0 293.981 * * [simplify]: Extracting #1: cost 3 inf + 0 293.981 * * [simplify]: Extracting #2: cost 6 inf + 0 293.981 * * [simplify]: Extracting #3: cost 62 inf + 0 293.981 * * [simplify]: Extracting #4: cost 151 inf + 0 293.982 * * [simplify]: Extracting #5: cost 215 inf + 44 293.983 * * [simplify]: Extracting #6: cost 259 inf + 3517 293.989 * * [simplify]: Extracting #7: cost 196 inf + 15491 293.996 * * [simplify]: Extracting #8: cost 149 inf + 30003 294.013 * * [simplify]: Extracting #9: cost 101 inf + 51438 294.030 * * [simplify]: Extracting #10: cost 53 inf + 69877 294.044 * * [simplify]: Extracting #11: cost 36 inf + 81102 294.076 * * [simplify]: Extracting #12: cost 9 inf + 110457 294.105 * * [simplify]: Extracting #13: cost 1 inf + 121417 294.155 * * [simplify]: Extracting #14: cost 0 inf + 123482 294.186 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 294.186 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 294.187 * * * * [progress]: [ 437 / 5906 ] simplifiying candidate # 294.187 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 294.188 * * [simplify]: iters left: 6 (46 enodes) 294.204 * * [simplify]: iters left: 5 (218 enodes) 294.277 * * [simplify]: Extracting #0: cost 1 inf + 0 294.277 * * [simplify]: Extracting #1: cost 3 inf + 0 294.277 * * [simplify]: Extracting #2: cost 6 inf + 0 294.277 * * [simplify]: Extracting #3: cost 54 inf + 0 294.278 * * [simplify]: Extracting #4: cost 119 inf + 0 294.278 * * [simplify]: Extracting #5: cost 163 inf + 44 294.280 * * [simplify]: Extracting #6: cost 220 inf + 1604 294.284 * * [simplify]: Extracting #7: cost 184 inf + 8053 294.291 * * [simplify]: Extracting #8: cost 125 inf + 23974 294.306 * * [simplify]: Extracting #9: cost 61 inf + 49548 294.321 * * [simplify]: Extracting #10: cost 16 inf + 84807 294.350 * * [simplify]: Extracting #11: cost 0 inf + 99581 294.389 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 294.389 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 294.389 * * * * [progress]: [ 438 / 5906 ] simplifiying candidate # 294.390 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 294.390 * * [simplify]: iters left: 6 (51 enodes) 294.407 * * [simplify]: iters left: 5 (246 enodes) 294.489 * * [simplify]: Extracting #0: cost 1 inf + 0 294.490 * * [simplify]: Extracting #1: cost 3 inf + 0 294.490 * * [simplify]: Extracting #2: cost 10 inf + 0 294.490 * * [simplify]: Extracting #3: cost 74 inf + 0 294.490 * * [simplify]: Extracting #4: cost 137 inf + 1 294.491 * * [simplify]: Extracting #5: cost 184 inf + 249 294.493 * * [simplify]: Extracting #6: cost 241 inf + 2335 294.499 * * [simplify]: Extracting #7: cost 174 inf + 19628 294.515 * * [simplify]: Extracting #8: cost 125 inf + 37928 294.531 * * [simplify]: Extracting #9: cost 94 inf + 48772 294.551 * * [simplify]: Extracting #10: cost 54 inf + 64324 294.575 * * [simplify]: Extracting #11: cost 10 inf + 101262 294.606 * * [simplify]: Extracting #12: cost 1 inf + 113287 294.640 * * [simplify]: Extracting #13: cost 0 inf + 115272 294.673 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 294.673 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 294.673 * * * * [progress]: [ 439 / 5906 ] simplifiying candidate # 294.674 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 294.674 * * [simplify]: iters left: 6 (46 enodes) 294.687 * * [simplify]: iters left: 5 (218 enodes) 294.768 * * [simplify]: Extracting #0: cost 1 inf + 0 294.768 * * [simplify]: Extracting #1: cost 3 inf + 0 294.768 * * [simplify]: Extracting #2: cost 10 inf + 0 294.768 * * [simplify]: Extracting #3: cost 66 inf + 0 294.768 * * [simplify]: Extracting #4: cost 117 inf + 44 294.769 * * [simplify]: Extracting #5: cost 148 inf + 1026 294.771 * * [simplify]: Extracting #6: cost 210 inf + 3138 294.774 * * [simplify]: Extracting #7: cost 186 inf + 7884 294.783 * * [simplify]: Extracting #8: cost 147 inf + 16371 294.795 * * [simplify]: Extracting #9: cost 101 inf + 35434 294.805 * * [simplify]: Extracting #10: cost 38 inf + 60841 294.821 * * [simplify]: Extracting #11: cost 6 inf + 89241 294.856 * * [simplify]: Extracting #12: cost 0 inf + 96591 294.893 * * [simplify]: Extracting #13: cost 0 inf + 96551 294.930 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 294.930 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 294.931 * * * * [progress]: [ 440 / 5906 ] simplifiying candidate # 294.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 294.932 * * [simplify]: iters left: 6 (51 enodes) 294.962 * * [simplify]: iters left: 5 (246 enodes) 295.042 * * [simplify]: Extracting #0: cost 1 inf + 0 295.042 * * [simplify]: Extracting #1: cost 3 inf + 0 295.042 * * [simplify]: Extracting #2: cost 10 inf + 0 295.043 * * [simplify]: Extracting #3: cost 74 inf + 0 295.043 * * [simplify]: Extracting #4: cost 137 inf + 1 295.044 * * [simplify]: Extracting #5: cost 185 inf + 207 295.046 * * [simplify]: Extracting #6: cost 244 inf + 2252 295.053 * * [simplify]: Extracting #7: cost 168 inf + 21039 295.069 * * [simplify]: Extracting #8: cost 123 inf + 39684 295.084 * * [simplify]: Extracting #9: cost 95 inf + 49589 295.105 * * [simplify]: Extracting #10: cost 54 inf + 65284 295.142 * * [simplify]: Extracting #11: cost 10 inf + 102222 295.186 * * [simplify]: Extracting #12: cost 1 inf + 114247 295.228 * * [simplify]: Extracting #13: cost 0 inf + 116232 295.272 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 295.272 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 295.272 * * * * [progress]: [ 441 / 5906 ] simplifiying candidate # 295.273 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 295.273 * * [simplify]: iters left: 6 (46 enodes) 295.286 * * [simplify]: iters left: 5 (218 enodes) 295.360 * * [simplify]: Extracting #0: cost 1 inf + 0 295.360 * * [simplify]: Extracting #1: cost 3 inf + 0 295.360 * * [simplify]: Extracting #2: cost 10 inf + 0 295.360 * * [simplify]: Extracting #3: cost 65 inf + 0 295.361 * * [simplify]: Extracting #4: cost 117 inf + 44 295.361 * * [simplify]: Extracting #5: cost 148 inf + 1066 295.362 * * [simplify]: Extracting #6: cost 211 inf + 3016 295.364 * * [simplify]: Extracting #7: cost 191 inf + 6755 295.367 * * [simplify]: Extracting #8: cost 135 inf + 22969 295.377 * * [simplify]: Extracting #9: cost 89 inf + 42376 295.392 * * [simplify]: Extracting #10: cost 42 inf + 58501 295.414 * * [simplify]: Extracting #11: cost 16 inf + 80391 295.446 * * [simplify]: Extracting #12: cost 0 inf + 96271 295.479 * * [simplify]: Extracting #13: cost 0 inf + 95991 295.518 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 295.518 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 295.519 * * * * [progress]: [ 442 / 5906 ] simplifiying candidate # 295.520 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 295.520 * * [simplify]: iters left: 6 (45 enodes) 295.538 * * [simplify]: iters left: 5 (218 enodes) 295.605 * * [simplify]: Extracting #0: cost 1 inf + 0 295.605 * * [simplify]: Extracting #1: cost 3 inf + 0 295.606 * * [simplify]: Extracting #2: cost 6 inf + 0 295.606 * * [simplify]: Extracting #3: cost 54 inf + 0 295.606 * * [simplify]: Extracting #4: cost 120 inf + 0 295.606 * * [simplify]: Extracting #5: cost 186 inf + 0 295.607 * * [simplify]: Extracting #6: cost 248 inf + 715 295.608 * * [simplify]: Extracting #7: cost 216 inf + 9020 295.611 * * [simplify]: Extracting #8: cost 159 inf + 17854 295.615 * * [simplify]: Extracting #9: cost 117 inf + 28530 295.624 * * [simplify]: Extracting #10: cost 67 inf + 49688 295.650 * * [simplify]: Extracting #11: cost 11 inf + 93633 295.673 * * [simplify]: Extracting #12: cost 0 inf + 104163 295.705 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) 295.705 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 295.706 * * * * [progress]: [ 443 / 5906 ] simplifiying candidate # 295.706 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 295.707 * * [simplify]: iters left: 6 (46 enodes) 295.719 * * [simplify]: iters left: 5 (227 enodes) 295.785 * * [simplify]: Extracting #0: cost 1 inf + 0 295.785 * * [simplify]: Extracting #1: cost 3 inf + 0 295.785 * * [simplify]: Extracting #2: cost 6 inf + 0 295.785 * * [simplify]: Extracting #3: cost 58 inf + 0 295.786 * * [simplify]: Extracting #4: cost 143 inf + 0 295.787 * * [simplify]: Extracting #5: cost 199 inf + 126 295.789 * * [simplify]: Extracting #6: cost 245 inf + 4659 295.792 * * [simplify]: Extracting #7: cost 207 inf + 13494 295.796 * * [simplify]: Extracting #8: cost 140 inf + 25356 295.803 * * [simplify]: Extracting #9: cost 76 inf + 45968 295.815 * * [simplify]: Extracting #10: cost 40 inf + 69676 295.849 * * [simplify]: Extracting #11: cost 2 inf + 103810 295.881 * * [simplify]: Extracting #12: cost 0 inf + 107340 295.906 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) 295.906 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 295.908 * * * * [progress]: [ 444 / 5906 ] simplifiying candidate # 295.908 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 295.909 * * [simplify]: iters left: 6 (46 enodes) 295.934 * * [simplify]: iters left: 5 (227 enodes) 296.039 * * [simplify]: Extracting #0: cost 1 inf + 0 296.039 * * [simplify]: Extracting #1: cost 3 inf + 0 296.039 * * [simplify]: Extracting #2: cost 6 inf + 0 296.039 * * [simplify]: Extracting #3: cost 60 inf + 0 296.039 * * [simplify]: Extracting #4: cost 141 inf + 0 296.040 * * [simplify]: Extracting #5: cost 194 inf + 168 296.041 * * [simplify]: Extracting #6: cost 231 inf + 5468 296.043 * * [simplify]: Extracting #7: cost 202 inf + 14538 296.047 * * [simplify]: Extracting #8: cost 144 inf + 24178 296.055 * * [simplify]: Extracting #9: cost 63 inf + 52840 296.079 * * [simplify]: Extracting #10: cost 30 inf + 74462 296.098 * * [simplify]: Extracting #11: cost 2 inf + 102362 296.133 * * [simplify]: Extracting #12: cost 0 inf + 104932 296.157 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 296.157 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 296.158 * * * * [progress]: [ 445 / 5906 ] simplifiying candidate # 296.158 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 296.159 * * [simplify]: iters left: 6 (40 enodes) 296.171 * * [simplify]: iters left: 5 (191 enodes) 296.250 * * [simplify]: Extracting #0: cost 1 inf + 0 296.250 * * [simplify]: Extracting #1: cost 3 inf + 0 296.250 * * [simplify]: Extracting #2: cost 6 inf + 0 296.251 * * [simplify]: Extracting #3: cost 52 inf + 0 296.251 * * [simplify]: Extracting #4: cost 109 inf + 0 296.252 * * [simplify]: Extracting #5: cost 144 inf + 44 296.253 * * [simplify]: Extracting #6: cost 191 inf + 1599 296.255 * * [simplify]: Extracting #7: cost 186 inf + 3307 296.259 * * [simplify]: Extracting #8: cost 137 inf + 12807 296.272 * * [simplify]: Extracting #9: cost 73 inf + 38365 296.284 * * [simplify]: Extracting #10: cost 25 inf + 65316 296.300 * * [simplify]: Extracting #11: cost 3 inf + 80596 296.317 * * [simplify]: Extracting #12: cost 0 inf + 83191 296.334 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) 296.334 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 296.335 * * * * [progress]: [ 446 / 5906 ] simplifiying candidate # 296.335 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 296.335 * * [simplify]: iters left: 6 (45 enodes) 296.348 * * [simplify]: iters left: 5 (219 enodes) 296.415 * * [simplify]: Extracting #0: cost 1 inf + 0 296.415 * * [simplify]: Extracting #1: cost 3 inf + 0 296.415 * * [simplify]: Extracting #2: cost 10 inf + 0 296.415 * * [simplify]: Extracting #3: cost 72 inf + 0 296.416 * * [simplify]: Extracting #4: cost 127 inf + 1 296.416 * * [simplify]: Extracting #5: cost 166 inf + 207 296.418 * * [simplify]: Extracting #6: cost 222 inf + 1613 296.421 * * [simplify]: Extracting #7: cost 204 inf + 6588 296.426 * * [simplify]: Extracting #8: cost 150 inf + 17454 296.437 * * [simplify]: Extracting #9: cost 86 inf + 36641 296.458 * * [simplify]: Extracting #10: cost 29 inf + 72106 296.494 * * [simplify]: Extracting #11: cost 1 inf + 97777 296.525 * * [simplify]: Extracting #12: cost 0 inf + 98722 296.545 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 296.545 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 296.545 * * * * [progress]: [ 447 / 5906 ] simplifiying candidate # 296.546 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 296.546 * * [simplify]: iters left: 6 (40 enodes) 296.561 * * [simplify]: iters left: 5 (191 enodes) 296.644 * * [simplify]: Extracting #0: cost 1 inf + 0 296.644 * * [simplify]: Extracting #1: cost 3 inf + 0 296.644 * * [simplify]: Extracting #2: cost 10 inf + 0 296.644 * * [simplify]: Extracting #3: cost 64 inf + 0 296.644 * * [simplify]: Extracting #4: cost 106 inf + 86 296.645 * * [simplify]: Extracting #5: cost 128 inf + 1229 296.647 * * [simplify]: Extracting #6: cost 181 inf + 2932 296.650 * * [simplify]: Extracting #7: cost 184 inf + 3265 296.656 * * [simplify]: Extracting #8: cost 111 inf + 19436 296.671 * * [simplify]: Extracting #9: cost 48 inf + 47486 296.699 * * [simplify]: Extracting #10: cost 11 inf + 74367 296.731 * * [simplify]: Extracting #11: cost 0 inf + 80521 296.763 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) 296.763 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 296.764 * * * * [progress]: [ 448 / 5906 ] simplifiying candidate # 296.765 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 296.765 * * [simplify]: iters left: 6 (45 enodes) 296.790 * * [simplify]: iters left: 5 (219 enodes) 296.866 * * [simplify]: Extracting #0: cost 1 inf + 0 296.866 * * [simplify]: Extracting #1: cost 3 inf + 0 296.866 * * [simplify]: Extracting #2: cost 10 inf + 0 296.866 * * [simplify]: Extracting #3: cost 72 inf + 0 296.866 * * [simplify]: Extracting #4: cost 127 inf + 1 296.866 * * [simplify]: Extracting #5: cost 166 inf + 207 296.867 * * [simplify]: Extracting #6: cost 219 inf + 2311 296.869 * * [simplify]: Extracting #7: cost 201 inf + 7426 296.871 * * [simplify]: Extracting #8: cost 153 inf + 16628 296.876 * * [simplify]: Extracting #9: cost 86 inf + 36342 296.886 * * [simplify]: Extracting #10: cost 36 inf + 65552 296.904 * * [simplify]: Extracting #11: cost 2 inf + 97872 296.941 * * [simplify]: Extracting #12: cost 0 inf + 99682 296.967 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 296.967 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 296.968 * * * * [progress]: [ 449 / 5906 ] simplifiying candidate # 296.968 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 296.968 * * [simplify]: iters left: 6 (40 enodes) 296.980 * * [simplify]: iters left: 5 (191 enodes) 297.033 * * [simplify]: Extracting #0: cost 1 inf + 0 297.033 * * [simplify]: Extracting #1: cost 3 inf + 0 297.033 * * [simplify]: Extracting #2: cost 10 inf + 0 297.033 * * [simplify]: Extracting #3: cost 63 inf + 0 297.034 * * [simplify]: Extracting #4: cost 106 inf + 86 297.034 * * [simplify]: Extracting #5: cost 126 inf + 1553 297.036 * * [simplify]: Extracting #6: cost 181 inf + 2932 297.038 * * [simplify]: Extracting #7: cost 183 inf + 3386 297.044 * * [simplify]: Extracting #8: cost 112 inf + 19534 297.054 * * [simplify]: Extracting #9: cost 45 inf + 49166 297.069 * * [simplify]: Extracting #10: cost 9 inf + 75324 297.087 * * [simplify]: Extracting #11: cost 0 inf + 80921 297.119 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 297.119 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 297.120 * * * * [progress]: [ 450 / 5906 ] simplifiying candidate # 297.121 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 297.121 * * [simplify]: iters left: 6 (51 enodes) 297.148 * * [simplify]: iters left: 5 (244 enodes) 297.227 * * [simplify]: Extracting #0: cost 1 inf + 0 297.227 * * [simplify]: Extracting #1: cost 3 inf + 0 297.227 * * [simplify]: Extracting #2: cost 6 inf + 0 297.227 * * [simplify]: Extracting #3: cost 56 inf + 0 297.228 * * [simplify]: Extracting #4: cost 130 inf + 0 297.228 * * [simplify]: Extracting #5: cost 207 inf + 0 297.230 * * [simplify]: Extracting #6: cost 276 inf + 1476 297.235 * * [simplify]: Extracting #7: cost 200 inf + 14914 297.246 * * [simplify]: Extracting #8: cost 132 inf + 39170 297.263 * * [simplify]: Extracting #9: cost 91 inf + 53009 297.285 * * [simplify]: Extracting #10: cost 56 inf + 65513 297.301 * * [simplify]: Extracting #11: cost 34 inf + 81023 297.325 * * [simplify]: Extracting #12: cost 5 inf + 115028 297.372 * * [simplify]: Extracting #13: cost 0 inf + 123433 297.424 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 297.424 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 297.426 * * * * [progress]: [ 451 / 5906 ] simplifiying candidate # 297.426 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 297.427 * * [simplify]: iters left: 6 (52 enodes) 297.456 * * [simplify]: iters left: 5 (253 enodes) 297.526 * * [simplify]: Extracting #0: cost 1 inf + 0 297.526 * * [simplify]: Extracting #1: cost 3 inf + 0 297.526 * * [simplify]: Extracting #2: cost 6 inf + 0 297.526 * * [simplify]: Extracting #3: cost 60 inf + 0 297.526 * * [simplify]: Extracting #4: cost 153 inf + 0 297.527 * * [simplify]: Extracting #5: cost 221 inf + 44 297.530 * * [simplify]: Extracting #6: cost 250 inf + 6142 297.537 * * [simplify]: Extracting #7: cost 193 inf + 16665 297.549 * * [simplify]: Extracting #8: cost 128 inf + 37071 297.575 * * [simplify]: Extracting #9: cost 55 inf + 69523 297.603 * * [simplify]: Extracting #10: cost 35 inf + 83615 297.647 * * [simplify]: Extracting #11: cost 2 inf + 122000 297.673 * * [simplify]: Extracting #12: cost 1 inf + 124065 297.715 * * [simplify]: Extracting #13: cost 0 inf + 126130 297.760 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 297.761 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 297.761 * * * * [progress]: [ 452 / 5906 ] simplifiying candidate # 297.762 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 297.762 * * [simplify]: iters left: 6 (52 enodes) 297.777 * * [simplify]: iters left: 5 (253 enodes) 297.852 * * [simplify]: Extracting #0: cost 1 inf + 0 297.852 * * [simplify]: Extracting #1: cost 3 inf + 0 297.852 * * [simplify]: Extracting #2: cost 6 inf + 0 297.853 * * [simplify]: Extracting #3: cost 62 inf + 0 297.853 * * [simplify]: Extracting #4: cost 151 inf + 0 297.853 * * [simplify]: Extracting #5: cost 216 inf + 86 297.855 * * [simplify]: Extracting #6: cost 249 inf + 5657 297.858 * * [simplify]: Extracting #7: cost 199 inf + 14365 297.866 * * [simplify]: Extracting #8: cost 140 inf + 30709 297.886 * * [simplify]: Extracting #9: cost 66 inf + 63043 297.913 * * [simplify]: Extracting #10: cost 34 inf + 83072 297.952 * * [simplify]: Extracting #11: cost 2 inf + 119512 297.981 * * [simplify]: Extracting #12: cost 1 inf + 121577 298.021 * * [simplify]: Extracting #13: cost 0 inf + 123642 298.047 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 298.047 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 298.048 * * * * [progress]: [ 453 / 5906 ] simplifiying candidate # 298.048 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 298.049 * * [simplify]: iters left: 6 (46 enodes) 298.069 * * [simplify]: iters left: 5 (217 enodes) 298.152 * * [simplify]: Extracting #0: cost 1 inf + 0 298.152 * * [simplify]: Extracting #1: cost 3 inf + 0 298.152 * * [simplify]: Extracting #2: cost 6 inf + 0 298.152 * * [simplify]: Extracting #3: cost 54 inf + 0 298.152 * * [simplify]: Extracting #4: cost 119 inf + 0 298.153 * * [simplify]: Extracting #5: cost 165 inf + 44 298.153 * * [simplify]: Extracting #6: cost 225 inf + 1114 298.155 * * [simplify]: Extracting #7: cost 193 inf + 6231 298.159 * * [simplify]: Extracting #8: cost 144 inf + 19862 298.166 * * [simplify]: Extracting #9: cost 91 inf + 42234 298.176 * * [simplify]: Extracting #10: cost 49 inf + 56599 298.197 * * [simplify]: Extracting #11: cost 28 inf + 69801 298.220 * * [simplify]: Extracting #12: cost 2 inf + 98171 298.243 * * [simplify]: Extracting #13: cost 0 inf + 101781 298.269 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) 298.269 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 298.270 * * * * [progress]: [ 454 / 5906 ] simplifiying candidate # 298.271 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 298.271 * * [simplify]: iters left: 6 (51 enodes) 298.299 * * [simplify]: iters left: 5 (245 enodes) 298.405 * * [simplify]: Extracting #0: cost 1 inf + 0 298.405 * * [simplify]: Extracting #1: cost 3 inf + 0 298.405 * * [simplify]: Extracting #2: cost 10 inf + 0 298.405 * * [simplify]: Extracting #3: cost 74 inf + 0 298.405 * * [simplify]: Extracting #4: cost 137 inf + 1 298.406 * * [simplify]: Extracting #5: cost 186 inf + 249 298.407 * * [simplify]: Extracting #6: cost 241 inf + 2417 298.410 * * [simplify]: Extracting #7: cost 169 inf + 21718 298.417 * * [simplify]: Extracting #8: cost 124 inf + 39442 298.425 * * [simplify]: Extracting #9: cost 92 inf + 50065 298.442 * * [simplify]: Extracting #10: cost 50 inf + 66742 298.461 * * [simplify]: Extracting #11: cost 10 inf + 102102 298.502 * * [simplify]: Extracting #12: cost 0 inf + 116672 298.550 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 298.550 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 298.551 * * * * [progress]: [ 455 / 5906 ] simplifiying candidate # 298.552 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 298.552 * * [simplify]: iters left: 6 (46 enodes) 298.577 * * [simplify]: iters left: 5 (217 enodes) 298.645 * * [simplify]: Extracting #0: cost 1 inf + 0 298.645 * * [simplify]: Extracting #1: cost 3 inf + 0 298.645 * * [simplify]: Extracting #2: cost 10 inf + 0 298.646 * * [simplify]: Extracting #3: cost 66 inf + 0 298.646 * * [simplify]: Extracting #4: cost 117 inf + 44 298.646 * * [simplify]: Extracting #5: cost 151 inf + 1024 298.647 * * [simplify]: Extracting #6: cost 210 inf + 3138 298.649 * * [simplify]: Extracting #7: cost 186 inf + 7806 298.652 * * [simplify]: Extracting #8: cost 147 inf + 16329 298.657 * * [simplify]: Extracting #9: cost 97 inf + 35639 298.667 * * [simplify]: Extracting #10: cost 42 inf + 58634 298.681 * * [simplify]: Extracting #11: cost 17 inf + 81206 298.700 * * [simplify]: Extracting #12: cost 0 inf + 98031 298.722 * * [simplify]: Extracting #13: cost 0 inf + 97551 298.751 * * [simplify]: Extracting #14: cost 0 inf + 97511 298.792 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 298.792 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 298.793 * * * * [progress]: [ 456 / 5906 ] simplifiying candidate # 298.793 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 298.794 * * [simplify]: iters left: 6 (51 enodes) 298.819 * * [simplify]: iters left: 5 (245 enodes) 298.894 * * [simplify]: Extracting #0: cost 1 inf + 0 298.894 * * [simplify]: Extracting #1: cost 3 inf + 0 298.894 * * [simplify]: Extracting #2: cost 10 inf + 0 298.895 * * [simplify]: Extracting #3: cost 74 inf + 0 298.895 * * [simplify]: Extracting #4: cost 137 inf + 1 298.895 * * [simplify]: Extracting #5: cost 187 inf + 207 298.896 * * [simplify]: Extracting #6: cost 240 inf + 2739 298.900 * * [simplify]: Extracting #7: cost 163 inf + 23374 298.907 * * [simplify]: Extracting #8: cost 124 inf + 40242 298.917 * * [simplify]: Extracting #9: cost 93 inf + 50159 298.937 * * [simplify]: Extracting #10: cost 55 inf + 64177 298.965 * * [simplify]: Extracting #11: cost 25 inf + 86447 299.008 * * [simplify]: Extracting #12: cost 0 inf + 115312 299.053 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 299.053 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 299.054 * * * * [progress]: [ 457 / 5906 ] simplifiying candidate # 299.054 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 299.055 * * [simplify]: iters left: 6 (46 enodes) 299.078 * * [simplify]: iters left: 5 (217 enodes) 299.166 * * [simplify]: Extracting #0: cost 1 inf + 0 299.166 * * [simplify]: Extracting #1: cost 3 inf + 0 299.166 * * [simplify]: Extracting #2: cost 10 inf + 0 299.166 * * [simplify]: Extracting #3: cost 65 inf + 0 299.166 * * [simplify]: Extracting #4: cost 117 inf + 44 299.167 * * [simplify]: Extracting #5: cost 153 inf + 660 299.169 * * [simplify]: Extracting #6: cost 211 inf + 2976 299.172 * * [simplify]: Extracting #7: cost 187 inf + 7724 299.178 * * [simplify]: Extracting #8: cost 147 inf + 16611 299.192 * * [simplify]: Extracting #9: cost 99 inf + 35317 299.212 * * [simplify]: Extracting #10: cost 43 inf + 59022 299.236 * * [simplify]: Extracting #11: cost 21 inf + 74186 299.262 * * [simplify]: Extracting #12: cost 2 inf + 94581 299.285 * * [simplify]: Extracting #13: cost 0 inf + 97951 299.318 * * [simplify]: Extracting #14: cost 0 inf + 97911 299.341 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 299.341 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 299.342 * * * * [progress]: [ 458 / 5906 ] simplifiying candidate # 299.343 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 299.343 * * [simplify]: iters left: 6 (48 enodes) 299.371 * * [simplify]: iters left: 5 (228 enodes) 299.442 * * [simplify]: Extracting #0: cost 1 inf + 0 299.442 * * [simplify]: Extracting #1: cost 3 inf + 0 299.443 * * [simplify]: Extracting #2: cost 6 inf + 0 299.443 * * [simplify]: Extracting #3: cost 48 inf + 0 299.443 * * [simplify]: Extracting #4: cost 112 inf + 0 299.444 * * [simplify]: Extracting #5: cost 179 inf + 0 299.445 * * [simplify]: Extracting #6: cost 252 inf + 384 299.447 * * [simplify]: Extracting #7: cost 213 inf + 7964 299.458 * * [simplify]: Extracting #8: cost 114 inf + 31735 299.475 * * [simplify]: Extracting #9: cost 54 inf + 53050 299.499 * * [simplify]: Extracting #10: cost 28 inf + 72884 299.536 * * [simplify]: Extracting #11: cost 1 inf + 102759 299.562 * * [simplify]: Extracting #12: cost 0 inf + 104544 299.584 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 299.584 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 299.585 * * * * [progress]: [ 459 / 5906 ] simplifiying candidate # 299.585 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 299.586 * * [simplify]: iters left: 6 (49 enodes) 299.606 * * [simplify]: iters left: 5 (237 enodes) 299.668 * * [simplify]: Extracting #0: cost 1 inf + 0 299.668 * * [simplify]: Extracting #1: cost 3 inf + 0 299.668 * * [simplify]: Extracting #2: cost 6 inf + 0 299.668 * * [simplify]: Extracting #3: cost 52 inf + 0 299.668 * * [simplify]: Extracting #4: cost 135 inf + 0 299.669 * * [simplify]: Extracting #5: cost 192 inf + 85 299.670 * * [simplify]: Extracting #6: cost 220 inf + 6020 299.673 * * [simplify]: Extracting #7: cost 191 inf + 13845 299.679 * * [simplify]: Extracting #8: cost 124 inf + 33189 299.693 * * [simplify]: Extracting #9: cost 75 inf + 51238 299.704 * * [simplify]: Extracting #10: cost 39 inf + 67266 299.734 * * [simplify]: Extracting #11: cost 4 inf + 101301 299.756 * * [simplify]: Extracting #12: cost 0 inf + 107201 299.795 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) 299.795 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 299.796 * * * * [progress]: [ 460 / 5906 ] simplifiying candidate # 299.796 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 299.797 * * [simplify]: iters left: 6 (49 enodes) 299.811 * * [simplify]: iters left: 5 (237 enodes) 299.881 * * [simplify]: Extracting #0: cost 1 inf + 0 299.881 * * [simplify]: Extracting #1: cost 3 inf + 0 299.881 * * [simplify]: Extracting #2: cost 6 inf + 0 299.881 * * [simplify]: Extracting #3: cost 54 inf + 0 299.881 * * [simplify]: Extracting #4: cost 133 inf + 0 299.882 * * [simplify]: Extracting #5: cost 187 inf + 166 299.883 * * [simplify]: Extracting #6: cost 217 inf + 6097 299.885 * * [simplify]: Extracting #7: cost 194 inf + 13063 299.889 * * [simplify]: Extracting #8: cost 138 inf + 26425 299.896 * * [simplify]: Extracting #9: cost 86 inf + 44270 299.915 * * [simplify]: Extracting #10: cost 38 inf + 66603 299.946 * * [simplify]: Extracting #11: cost 7 inf + 96098 299.967 * * [simplify]: Extracting #12: cost 0 inf + 104913 299.999 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 300.000 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 300.001 * * * * [progress]: [ 461 / 5906 ] simplifiying candidate # 300.001 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 300.002 * * [simplify]: iters left: 6 (43 enodes) 300.023 * * [simplify]: iters left: 5 (200 enodes) 300.072 * * [simplify]: Extracting #0: cost 1 inf + 0 300.073 * * [simplify]: Extracting #1: cost 3 inf + 0 300.073 * * [simplify]: Extracting #2: cost 6 inf + 0 300.073 * * [simplify]: Extracting #3: cost 46 inf + 0 300.073 * * [simplify]: Extracting #4: cost 101 inf + 0 300.074 * * [simplify]: Extracting #5: cost 137 inf + 44 300.075 * * [simplify]: Extracting #6: cost 192 inf + 1520 300.077 * * [simplify]: Extracting #7: cost 185 inf + 3962 300.081 * * [simplify]: Extracting #8: cost 110 inf + 23747 300.090 * * [simplify]: Extracting #9: cost 42 inf + 54301 300.108 * * [simplify]: Extracting #10: cost 6 inf + 80168 300.139 * * [simplify]: Extracting #11: cost 0 inf + 83372 300.171 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))))) 300.172 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 300.175 * * * * [progress]: [ 462 / 5906 ] simplifiying candidate # 300.176 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 300.177 * * [simplify]: iters left: 6 (48 enodes) 300.203 * * [simplify]: iters left: 5 (228 enodes) 300.295 * * [simplify]: Extracting #0: cost 1 inf + 0 300.295 * * [simplify]: Extracting #1: cost 3 inf + 0 300.296 * * [simplify]: Extracting #2: cost 10 inf + 0 300.296 * * [simplify]: Extracting #3: cost 62 inf + 0 300.296 * * [simplify]: Extracting #4: cost 115 inf + 42 300.297 * * [simplify]: Extracting #5: cost 156 inf + 207 300.299 * * [simplify]: Extracting #6: cost 212 inf + 2207 300.303 * * [simplify]: Extracting #7: cost 184 inf + 10304 300.310 * * [simplify]: Extracting #8: cost 144 inf + 17723 300.329 * * [simplify]: Extracting #9: cost 86 inf + 38905 300.348 * * [simplify]: Extracting #10: cost 33 inf + 60843 300.376 * * [simplify]: Extracting #11: cost 10 inf + 84538 300.413 * * [simplify]: Extracting #12: cost 0 inf + 96588 300.451 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 300.451 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 300.452 * * * * [progress]: [ 463 / 5906 ] simplifiying candidate # 300.452 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 300.453 * * [simplify]: iters left: 6 (43 enodes) 300.475 * * [simplify]: iters left: 5 (200 enodes) 300.556 * * [simplify]: Extracting #0: cost 1 inf + 0 300.556 * * [simplify]: Extracting #1: cost 3 inf + 0 300.556 * * [simplify]: Extracting #2: cost 10 inf + 0 300.556 * * [simplify]: Extracting #3: cost 54 inf + 0 300.556 * * [simplify]: Extracting #4: cost 95 inf + 86 300.557 * * [simplify]: Extracting #5: cost 118 inf + 1349 300.558 * * [simplify]: Extracting #6: cost 179 inf + 2934 300.559 * * [simplify]: Extracting #7: cost 175 inf + 4648 300.562 * * [simplify]: Extracting #8: cost 120 inf + 18993 300.570 * * [simplify]: Extracting #9: cost 41 inf + 48582 300.584 * * [simplify]: Extracting #10: cost 6 inf + 73924 300.601 * * [simplify]: Extracting #11: cost 0 inf + 77867 300.634 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 300.634 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 300.635 * * * * [progress]: [ 464 / 5906 ] simplifiying candidate # 300.636 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 300.636 * * [simplify]: iters left: 6 (48 enodes) 300.649 * * [simplify]: iters left: 5 (228 enodes) 300.702 * * [simplify]: Extracting #0: cost 1 inf + 0 300.702 * * [simplify]: Extracting #1: cost 3 inf + 0 300.702 * * [simplify]: Extracting #2: cost 10 inf + 0 300.702 * * [simplify]: Extracting #3: cost 62 inf + 0 300.703 * * [simplify]: Extracting #4: cost 115 inf + 42 300.703 * * [simplify]: Extracting #5: cost 155 inf + 249 300.704 * * [simplify]: Extracting #6: cost 213 inf + 2407 300.707 * * [simplify]: Extracting #7: cost 183 inf + 10796 300.712 * * [simplify]: Extracting #8: cost 144 inf + 17410 300.727 * * [simplify]: Extracting #9: cost 86 inf + 39024 300.744 * * [simplify]: Extracting #10: cost 33 inf + 61963 300.760 * * [simplify]: Extracting #11: cost 10 inf + 85658 300.795 * * [simplify]: Extracting #12: cost 0 inf + 97708 300.829 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) 300.829 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 300.829 * * * * [progress]: [ 465 / 5906 ] simplifiying candidate # 300.830 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 300.830 * * [simplify]: iters left: 6 (43 enodes) 300.842 * * [simplify]: iters left: 5 (200 enodes) 300.893 * * [simplify]: Extracting #0: cost 1 inf + 0 300.893 * * [simplify]: Extracting #1: cost 3 inf + 0 300.893 * * [simplify]: Extracting #2: cost 10 inf + 0 300.894 * * [simplify]: Extracting #3: cost 53 inf + 0 300.894 * * [simplify]: Extracting #4: cost 96 inf + 44 300.894 * * [simplify]: Extracting #5: cost 120 inf + 1104 300.895 * * [simplify]: Extracting #6: cost 178 inf + 2976 300.896 * * [simplify]: Extracting #7: cost 175 inf + 4650 300.899 * * [simplify]: Extracting #8: cost 111 inf + 20488 300.907 * * [simplify]: Extracting #9: cost 47 inf + 44880 300.925 * * [simplify]: Extracting #10: cost 6 inf + 74995 300.955 * * [simplify]: Extracting #11: cost 0 inf + 78707 300.980 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 300.980 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 300.981 * * * * [progress]: [ 466 / 5906 ] simplifiying candidate # 300.981 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 300.981 * * [simplify]: iters left: 6 (52 enodes) 300.996 * * [simplify]: iters left: 5 (255 enodes) 301.111 * * [simplify]: Extracting #0: cost 1 inf + 0 301.111 * * [simplify]: Extracting #1: cost 3 inf + 0 301.111 * * [simplify]: Extracting #2: cost 6 inf + 0 301.111 * * [simplify]: Extracting #3: cost 56 inf + 0 301.111 * * [simplify]: Extracting #4: cost 130 inf + 0 301.112 * * [simplify]: Extracting #5: cost 210 inf + 0 301.114 * * [simplify]: Extracting #6: cost 297 inf + 2653 301.117 * * [simplify]: Extracting #7: cost 255 inf + 10569 301.126 * * [simplify]: Extracting #8: cost 142 inf + 35985 301.139 * * [simplify]: Extracting #9: cost 61 inf + 68362 301.160 * * [simplify]: Extracting #10: cost 9 inf + 120085 301.186 * * [simplify]: Extracting #11: cost 1 inf + 129965 301.220 * * [simplify]: Extracting #12: cost 0 inf + 131990 301.267 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) 301.267 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 301.268 * * * * [progress]: [ 467 / 5906 ] simplifiying candidate # 301.268 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 301.268 * * [simplify]: iters left: 6 (53 enodes) 301.283 * * [simplify]: iters left: 5 (264 enodes) 301.401 * * [simplify]: Extracting #0: cost 1 inf + 0 301.401 * * [simplify]: Extracting #1: cost 3 inf + 0 301.401 * * [simplify]: Extracting #2: cost 6 inf + 0 301.402 * * [simplify]: Extracting #3: cost 60 inf + 0 301.402 * * [simplify]: Extracting #4: cost 153 inf + 0 301.403 * * [simplify]: Extracting #5: cost 222 inf + 127 301.406 * * [simplify]: Extracting #6: cost 274 inf + 5499 301.411 * * [simplify]: Extracting #7: cost 246 inf + 12623 301.420 * * [simplify]: Extracting #8: cost 179 inf + 24984 301.437 * * [simplify]: Extracting #9: cost 107 inf + 54004 301.456 * * [simplify]: Extracting #10: cost 51 inf + 79734 301.479 * * [simplify]: Extracting #11: cost 6 inf + 127337 301.514 * * [simplify]: Extracting #12: cost 0 inf + 136087 301.547 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 301.548 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 301.549 * * * * [progress]: [ 468 / 5906 ] simplifiying candidate # 301.549 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 301.550 * * [simplify]: iters left: 6 (53 enodes) 301.567 * * [simplify]: iters left: 5 (264 enodes) 301.643 * * [simplify]: Extracting #0: cost 1 inf + 0 301.643 * * [simplify]: Extracting #1: cost 3 inf + 0 301.643 * * [simplify]: Extracting #2: cost 6 inf + 0 301.643 * * [simplify]: Extracting #3: cost 62 inf + 0 301.644 * * [simplify]: Extracting #4: cost 151 inf + 0 301.645 * * [simplify]: Extracting #5: cost 220 inf + 44 301.648 * * [simplify]: Extracting #6: cost 281 inf + 4118 301.654 * * [simplify]: Extracting #7: cost 240 inf + 14008 301.664 * * [simplify]: Extracting #8: cost 166 inf + 29485 301.685 * * [simplify]: Extracting #9: cost 71 inf + 65589 301.735 * * [simplify]: Extracting #10: cost 8 inf + 123199 301.766 * * [simplify]: Extracting #11: cost 0 inf + 133679 301.819 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 301.820 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 301.821 * * * * [progress]: [ 469 / 5906 ] simplifiying candidate # 301.821 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 301.822 * * [simplify]: iters left: 6 (47 enodes) 301.842 * * [simplify]: iters left: 5 (228 enodes) 301.904 * * [simplify]: Extracting #0: cost 1 inf + 0 301.904 * * [simplify]: Extracting #1: cost 3 inf + 0 301.904 * * [simplify]: Extracting #2: cost 6 inf + 0 301.904 * * [simplify]: Extracting #3: cost 54 inf + 0 301.904 * * [simplify]: Extracting #4: cost 119 inf + 0 301.905 * * [simplify]: Extracting #5: cost 168 inf + 44 301.906 * * [simplify]: Extracting #6: cost 248 inf + 1194 301.907 * * [simplify]: Extracting #7: cost 216 inf + 6686 301.912 * * [simplify]: Extracting #8: cost 132 inf + 29774 301.930 * * [simplify]: Extracting #9: cost 68 inf + 55233 301.957 * * [simplify]: Extracting #10: cost 11 inf + 96870 301.980 * * [simplify]: Extracting #11: cost 1 inf + 107193 302.003 * * [simplify]: Extracting #12: cost 0 inf + 109018 302.029 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))))))) 302.029 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 302.030 * * * * [progress]: [ 470 / 5906 ] simplifiying candidate # 302.030 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 302.030 * * [simplify]: iters left: 6 (52 enodes) 302.044 * * [simplify]: iters left: 5 (256 enodes) 302.115 * * [simplify]: Extracting #0: cost 1 inf + 0 302.116 * * [simplify]: Extracting #1: cost 3 inf + 0 302.116 * * [simplify]: Extracting #2: cost 10 inf + 0 302.116 * * [simplify]: Extracting #3: cost 74 inf + 0 302.116 * * [simplify]: Extracting #4: cost 136 inf + 42 302.117 * * [simplify]: Extracting #5: cost 189 inf + 248 302.118 * * [simplify]: Extracting #6: cost 262 inf + 3340 302.120 * * [simplify]: Extracting #7: cost 226 inf + 12514 302.123 * * [simplify]: Extracting #8: cost 170 inf + 23496 302.137 * * [simplify]: Extracting #9: cost 110 inf + 44855 302.176 * * [simplify]: Extracting #10: cost 12 inf + 114611 302.228 * * [simplify]: Extracting #11: cost 1 inf + 124804 302.275 * * [simplify]: Extracting #12: cost 0 inf + 126869 302.304 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) 302.304 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 302.305 * * * * [progress]: [ 471 / 5906 ] simplifiying candidate # 302.305 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 302.306 * * [simplify]: iters left: 6 (47 enodes) 302.330 * * [simplify]: iters left: 5 (228 enodes) 302.411 * * [simplify]: Extracting #0: cost 1 inf + 0 302.411 * * [simplify]: Extracting #1: cost 3 inf + 0 302.411 * * [simplify]: Extracting #2: cost 10 inf + 0 302.412 * * [simplify]: Extracting #3: cost 66 inf + 0 302.412 * * [simplify]: Extracting #4: cost 117 inf + 44 302.413 * * [simplify]: Extracting #5: cost 150 inf + 1592 302.415 * * [simplify]: Extracting #6: cost 235 inf + 2974 302.418 * * [simplify]: Extracting #7: cost 230 inf + 4653 302.423 * * [simplify]: Extracting #8: cost 176 inf + 13724 302.429 * * [simplify]: Extracting #9: cost 105 inf + 37175 302.440 * * [simplify]: Extracting #10: cost 44 inf + 63765 302.457 * * [simplify]: Extracting #11: cost 11 inf + 92713 302.500 * * [simplify]: Extracting #12: cost 1 inf + 103403 302.540 * * [simplify]: Extracting #13: cost 0 inf + 105188 302.578 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) 302.578 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 302.579 * * * * [progress]: [ 472 / 5906 ] simplifiying candidate # 302.579 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 302.580 * * [simplify]: iters left: 6 (52 enodes) 302.594 * * [simplify]: iters left: 5 (256 enodes) 302.703 * * [simplify]: Extracting #0: cost 1 inf + 0 302.703 * * [simplify]: Extracting #1: cost 3 inf + 0 302.703 * * [simplify]: Extracting #2: cost 10 inf + 0 302.703 * * [simplify]: Extracting #3: cost 74 inf + 0 302.704 * * [simplify]: Extracting #4: cost 136 inf + 42 302.705 * * [simplify]: Extracting #5: cost 189 inf + 248 302.706 * * [simplify]: Extracting #6: cost 269 inf + 1767 302.710 * * [simplify]: Extracting #7: cost 231 inf + 11414 302.717 * * [simplify]: Extracting #8: cost 172 inf + 22389 302.732 * * [simplify]: Extracting #9: cost 112 inf + 43746 302.753 * * [simplify]: Extracting #10: cost 11 inf + 117476 302.782 * * [simplify]: Extracting #11: cost 0 inf + 127829 302.825 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) 302.825 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 302.825 * * * * [progress]: [ 473 / 5906 ] simplifiying candidate # 302.826 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 302.826 * * [simplify]: iters left: 6 (47 enodes) 302.839 * * [simplify]: iters left: 5 (228 enodes) 302.923 * * [simplify]: Extracting #0: cost 1 inf + 0 302.923 * * [simplify]: Extracting #1: cost 3 inf + 0 302.923 * * [simplify]: Extracting #2: cost 10 inf + 0 302.924 * * [simplify]: Extracting #3: cost 65 inf + 0 302.924 * * [simplify]: Extracting #4: cost 116 inf + 86 302.925 * * [simplify]: Extracting #5: cost 148 inf + 1836 302.927 * * [simplify]: Extracting #6: cost 235 inf + 2934 302.929 * * [simplify]: Extracting #7: cost 231 inf + 4611 302.931 * * [simplify]: Extracting #8: cost 172 inf + 15136 302.937 * * [simplify]: Extracting #9: cost 103 inf + 38514 302.948 * * [simplify]: Extracting #10: cost 42 inf + 65317 302.970 * * [simplify]: Extracting #11: cost 5 inf + 98503 303.009 * * [simplify]: Extracting #12: cost 1 inf + 103803 303.048 * * [simplify]: Extracting #13: cost 0 inf + 105588 303.070 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 303.070 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 303.070 * * * * [progress]: [ 474 / 5906 ] simplifiying candidate # 303.071 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 303.071 * * [simplify]: iters left: 6 (52 enodes) 303.087 * * [simplify]: iters left: 5 (254 enodes) 303.201 * * [simplify]: Extracting #0: cost 1 inf + 0 303.201 * * [simplify]: Extracting #1: cost 3 inf + 0 303.201 * * [simplify]: Extracting #2: cost 6 inf + 0 303.201 * * [simplify]: Extracting #3: cost 56 inf + 0 303.201 * * [simplify]: Extracting #4: cost 130 inf + 0 303.202 * * [simplify]: Extracting #5: cost 212 inf + 0 303.203 * * [simplify]: Extracting #6: cost 296 inf + 971 303.205 * * [simplify]: Extracting #7: cost 238 inf + 12662 303.209 * * [simplify]: Extracting #8: cost 166 inf + 27389 303.217 * * [simplify]: Extracting #9: cost 107 inf + 47297 303.231 * * [simplify]: Extracting #10: cost 49 inf + 76576 303.260 * * [simplify]: Extracting #11: cost 14 inf + 114708 303.301 * * [simplify]: Extracting #12: cost 1 inf + 130393 303.337 * * [simplify]: Extracting #13: cost 0 inf + 132458 303.372 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 303.372 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 303.373 * * * * [progress]: [ 475 / 5906 ] simplifiying candidate # 303.373 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 303.374 * * [simplify]: iters left: 6 (53 enodes) 303.388 * * [simplify]: iters left: 5 (263 enodes) 303.485 * * [simplify]: Extracting #0: cost 1 inf + 0 303.485 * * [simplify]: Extracting #1: cost 3 inf + 0 303.485 * * [simplify]: Extracting #2: cost 6 inf + 0 303.485 * * [simplify]: Extracting #3: cost 60 inf + 0 303.485 * * [simplify]: Extracting #4: cost 153 inf + 0 303.486 * * [simplify]: Extracting #5: cost 226 inf + 44 303.487 * * [simplify]: Extracting #6: cost 273 inf + 4770 303.490 * * [simplify]: Extracting #7: cost 240 inf + 12241 303.495 * * [simplify]: Extracting #8: cost 180 inf + 24843 303.510 * * [simplify]: Extracting #9: cost 106 inf + 51179 303.540 * * [simplify]: Extracting #10: cost 53 inf + 78194 303.583 * * [simplify]: Extracting #11: cost 10 inf + 123585 303.638 * * [simplify]: Extracting #12: cost 0 inf + 135555 303.684 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 303.684 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 303.685 * * * * [progress]: [ 476 / 5906 ] simplifiying candidate # 303.685 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 303.685 * * [simplify]: iters left: 6 (53 enodes) 303.702 * * [simplify]: iters left: 5 (263 enodes) 303.777 * * [simplify]: Extracting #0: cost 1 inf + 0 303.777 * * [simplify]: Extracting #1: cost 3 inf + 0 303.777 * * [simplify]: Extracting #2: cost 6 inf + 0 303.777 * * [simplify]: Extracting #3: cost 62 inf + 0 303.778 * * [simplify]: Extracting #4: cost 151 inf + 0 303.778 * * [simplify]: Extracting #5: cost 222 inf + 44 303.780 * * [simplify]: Extracting #6: cost 269 inf + 4889 303.785 * * [simplify]: Extracting #7: cost 232 inf + 14689 303.789 * * [simplify]: Extracting #8: cost 169 inf + 26960 303.801 * * [simplify]: Extracting #9: cost 95 inf + 57076 303.829 * * [simplify]: Extracting #10: cost 40 inf + 87227 303.857 * * [simplify]: Extracting #11: cost 5 inf + 125502 303.902 * * [simplify]: Extracting #12: cost 0 inf + 133307 303.937 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 303.937 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 303.938 * * * * [progress]: [ 477 / 5906 ] simplifiying candidate # 303.938 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 303.939 * * [simplify]: iters left: 6 (47 enodes) 303.952 * * [simplify]: iters left: 5 (227 enodes) 304.040 * * [simplify]: Extracting #0: cost 1 inf + 0 304.040 * * [simplify]: Extracting #1: cost 3 inf + 0 304.040 * * [simplify]: Extracting #2: cost 6 inf + 0 304.041 * * [simplify]: Extracting #3: cost 54 inf + 0 304.041 * * [simplify]: Extracting #4: cost 119 inf + 0 304.042 * * [simplify]: Extracting #5: cost 170 inf + 44 304.044 * * [simplify]: Extracting #6: cost 241 inf + 1277 304.050 * * [simplify]: Extracting #7: cost 211 inf + 6721 304.055 * * [simplify]: Extracting #8: cost 147 inf + 23145 304.062 * * [simplify]: Extracting #9: cost 97 inf + 43110 304.073 * * [simplify]: Extracting #10: cost 45 inf + 64494 304.096 * * [simplify]: Extracting #11: cost 11 inf + 95931 304.121 * * [simplify]: Extracting #12: cost 1 inf + 108741 304.157 * * [simplify]: Extracting #13: cost 0 inf + 110646 304.184 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))) 304.185 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 304.186 * * * * [progress]: [ 478 / 5906 ] simplifiying candidate # 304.186 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 304.187 * * [simplify]: iters left: 6 (52 enodes) 304.214 * * [simplify]: iters left: 5 (255 enodes) 304.281 * * [simplify]: Extracting #0: cost 1 inf + 0 304.281 * * [simplify]: Extracting #1: cost 3 inf + 0 304.281 * * [simplify]: Extracting #2: cost 10 inf + 0 304.281 * * [simplify]: Extracting #3: cost 74 inf + 0 304.281 * * [simplify]: Extracting #4: cost 137 inf + 1 304.282 * * [simplify]: Extracting #5: cost 191 inf + 248 304.283 * * [simplify]: Extracting #6: cost 257 inf + 3179 304.285 * * [simplify]: Extracting #7: cost 232 inf + 8895 304.288 * * [simplify]: Extracting #8: cost 170 inf + 21454 304.296 * * [simplify]: Extracting #9: cost 116 inf + 39563 304.315 * * [simplify]: Extracting #10: cost 59 inf + 65975 304.357 * * [simplify]: Extracting #11: cost 5 inf + 120052 304.396 * * [simplify]: Extracting #12: cost 0 inf + 127057 304.434 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 304.434 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 304.435 * * * * [progress]: [ 479 / 5906 ] simplifiying candidate # 304.435 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 304.436 * * [simplify]: iters left: 6 (47 enodes) 304.453 * * [simplify]: iters left: 5 (227 enodes) 304.524 * * [simplify]: Extracting #0: cost 1 inf + 0 304.524 * * [simplify]: Extracting #1: cost 3 inf + 0 304.524 * * [simplify]: Extracting #2: cost 10 inf + 0 304.525 * * [simplify]: Extracting #3: cost 66 inf + 0 304.525 * * [simplify]: Extracting #4: cost 117 inf + 44 304.526 * * [simplify]: Extracting #5: cost 152 inf + 1512 304.527 * * [simplify]: Extracting #6: cost 229 inf + 2934 304.530 * * [simplify]: Extracting #7: cost 226 inf + 4606 304.534 * * [simplify]: Extracting #8: cost 146 inf + 22404 304.544 * * [simplify]: Extracting #9: cost 57 inf + 60718 304.562 * * [simplify]: Extracting #10: cost 15 inf + 90229 304.582 * * [simplify]: Extracting #11: cost 1 inf + 102791 304.616 * * [simplify]: Extracting #12: cost 0 inf + 104576 304.638 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 304.638 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 304.639 * * * * [progress]: [ 480 / 5906 ] simplifiying candidate # 304.639 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 304.640 * * [simplify]: iters left: 6 (52 enodes) 304.657 * * [simplify]: iters left: 5 (255 enodes) 304.727 * * [simplify]: Extracting #0: cost 1 inf + 0 304.727 * * [simplify]: Extracting #1: cost 3 inf + 0 304.727 * * [simplify]: Extracting #2: cost 10 inf + 0 304.727 * * [simplify]: Extracting #3: cost 74 inf + 0 304.728 * * [simplify]: Extracting #4: cost 137 inf + 1 304.728 * * [simplify]: Extracting #5: cost 191 inf + 248 304.729 * * [simplify]: Extracting #6: cost 262 inf + 1969 304.734 * * [simplify]: Extracting #7: cost 239 inf + 7963 304.741 * * [simplify]: Extracting #8: cost 169 inf + 22476 304.753 * * [simplify]: Extracting #9: cost 116 inf + 39803 304.772 * * [simplify]: Extracting #10: cost 59 inf + 66855 304.794 * * [simplify]: Extracting #11: cost 5 inf + 121172 304.821 * * [simplify]: Extracting #12: cost 0 inf + 128177 304.848 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 304.848 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 304.849 * * * * [progress]: [ 481 / 5906 ] simplifiying candidate # 304.849 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 304.850 * * [simplify]: iters left: 6 (47 enodes) 304.876 * * [simplify]: iters left: 5 (227 enodes) 304.946 * * [simplify]: Extracting #0: cost 1 inf + 0 304.946 * * [simplify]: Extracting #1: cost 3 inf + 0 304.946 * * [simplify]: Extracting #2: cost 10 inf + 0 304.946 * * [simplify]: Extracting #3: cost 65 inf + 0 304.946 * * [simplify]: Extracting #4: cost 117 inf + 44 304.947 * * [simplify]: Extracting #5: cost 160 inf + 537 304.949 * * [simplify]: Extracting #6: cost 228 inf + 2976 304.952 * * [simplify]: Extracting #7: cost 226 inf + 4568 304.959 * * [simplify]: Extracting #8: cost 146 inf + 22363 304.982 * * [simplify]: Extracting #9: cost 57 inf + 60878 305.002 * * [simplify]: Extracting #10: cost 13 inf + 91053 305.023 * * [simplify]: Extracting #11: cost 1 inf + 103191 305.049 * * [simplify]: Extracting #12: cost 0 inf + 104976 305.080 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 305.080 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 305.081 * * * * [progress]: [ 482 / 5906 ] simplifiying candidate # 305.081 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 305.081 * * [simplify]: iters left: 6 (52 enodes) 305.097 * * [simplify]: iters left: 5 (255 enodes) 305.203 * * [simplify]: Extracting #0: cost 1 inf + 0 305.204 * * [simplify]: Extracting #1: cost 3 inf + 0 305.204 * * [simplify]: Extracting #2: cost 6 inf + 0 305.204 * * [simplify]: Extracting #3: cost 56 inf + 0 305.204 * * [simplify]: Extracting #4: cost 130 inf + 0 305.205 * * [simplify]: Extracting #5: cost 207 inf + 0 305.207 * * [simplify]: Extracting #6: cost 287 inf + 1167 305.211 * * [simplify]: Extracting #7: cost 224 inf + 13987 305.223 * * [simplify]: Extracting #8: cost 139 inf + 38476 305.243 * * [simplify]: Extracting #9: cost 98 inf + 53655 305.266 * * [simplify]: Extracting #10: cost 46 inf + 75477 305.302 * * [simplify]: Extracting #11: cost 10 inf + 111175 305.348 * * [simplify]: Extracting #12: cost 0 inf + 124265 305.382 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 305.382 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 305.383 * * * * [progress]: [ 483 / 5906 ] simplifiying candidate # 305.383 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 305.383 * * [simplify]: iters left: 6 (53 enodes) 305.402 * * [simplify]: iters left: 5 (264 enodes) 305.522 * * [simplify]: Extracting #0: cost 1 inf + 0 305.522 * * [simplify]: Extracting #1: cost 3 inf + 0 305.522 * * [simplify]: Extracting #2: cost 6 inf + 0 305.522 * * [simplify]: Extracting #3: cost 60 inf + 0 305.523 * * [simplify]: Extracting #4: cost 153 inf + 0 305.524 * * [simplify]: Extracting #5: cost 221 inf + 44 305.527 * * [simplify]: Extracting #6: cost 259 inf + 5747 305.537 * * [simplify]: Extracting #7: cost 216 inf + 15946 305.545 * * [simplify]: Extracting #8: cost 143 inf + 38988 305.555 * * [simplify]: Extracting #9: cost 94 inf + 59288 305.569 * * [simplify]: Extracting #10: cost 44 inf + 79622 305.591 * * [simplify]: Extracting #11: cost 6 inf + 119172 305.634 * * [simplify]: Extracting #12: cost 0 inf + 128242 305.682 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 305.683 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 305.684 * * * * [progress]: [ 484 / 5906 ] simplifiying candidate # 305.684 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 305.684 * * [simplify]: iters left: 6 (53 enodes) 305.699 * * [simplify]: iters left: 5 (264 enodes) 305.781 * * [simplify]: Extracting #0: cost 1 inf + 0 305.781 * * [simplify]: Extracting #1: cost 3 inf + 0 305.781 * * [simplify]: Extracting #2: cost 6 inf + 0 305.781 * * [simplify]: Extracting #3: cost 62 inf + 0 305.781 * * [simplify]: Extracting #4: cost 151 inf + 0 305.782 * * [simplify]: Extracting #5: cost 217 inf + 44 305.783 * * [simplify]: Extracting #6: cost 260 inf + 5216 305.790 * * [simplify]: Extracting #7: cost 207 inf + 18764 305.802 * * [simplify]: Extracting #8: cost 142 inf + 39337 305.822 * * [simplify]: Extracting #9: cost 93 inf + 59445 305.847 * * [simplify]: Extracting #10: cost 46 inf + 77524 305.874 * * [simplify]: Extracting #11: cost 12 inf + 112374 305.907 * * [simplify]: Extracting #12: cost 0 inf + 125914 305.934 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 305.934 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 305.935 * * * * [progress]: [ 485 / 5906 ] simplifiying candidate # 305.935 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 305.936 * * [simplify]: iters left: 6 (47 enodes) 305.957 * * [simplify]: iters left: 5 (228 enodes) 306.039 * * [simplify]: Extracting #0: cost 1 inf + 0 306.039 * * [simplify]: Extracting #1: cost 3 inf + 0 306.039 * * [simplify]: Extracting #2: cost 6 inf + 0 306.039 * * [simplify]: Extracting #3: cost 54 inf + 0 306.039 * * [simplify]: Extracting #4: cost 119 inf + 0 306.039 * * [simplify]: Extracting #5: cost 165 inf + 44 306.040 * * [simplify]: Extracting #6: cost 236 inf + 1316 306.042 * * [simplify]: Extracting #7: cost 214 inf + 5820 306.047 * * [simplify]: Extracting #8: cost 151 inf + 23003 306.060 * * [simplify]: Extracting #9: cost 99 inf + 42853 306.084 * * [simplify]: Extracting #10: cost 33 inf + 69840 306.119 * * [simplify]: Extracting #11: cost 3 inf + 96498 306.157 * * [simplify]: Extracting #12: cost 1 inf + 100108 306.199 * * [simplify]: Extracting #13: cost 0 inf + 101933 306.239 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 306.239 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 306.240 * * * * [progress]: [ 486 / 5906 ] simplifiying candidate # 306.240 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 306.241 * * [simplify]: iters left: 6 (52 enodes) 306.269 * * [simplify]: iters left: 5 (256 enodes) 306.350 * * [simplify]: Extracting #0: cost 1 inf + 0 306.350 * * [simplify]: Extracting #1: cost 3 inf + 0 306.350 * * [simplify]: Extracting #2: cost 10 inf + 0 306.351 * * [simplify]: Extracting #3: cost 74 inf + 0 306.351 * * [simplify]: Extracting #4: cost 137 inf + 1 306.351 * * [simplify]: Extracting #5: cost 188 inf + 165 306.353 * * [simplify]: Extracting #6: cost 249 inf + 3304 306.355 * * [simplify]: Extracting #7: cost 203 inf + 14736 306.360 * * [simplify]: Extracting #8: cost 148 inf + 30120 306.368 * * [simplify]: Extracting #9: cost 90 inf + 52562 306.380 * * [simplify]: Extracting #10: cost 54 inf + 65714 306.401 * * [simplify]: Extracting #11: cost 6 inf + 109674 306.436 * * [simplify]: Extracting #12: cost 1 inf + 117239 306.466 * * [simplify]: Extracting #13: cost 0 inf + 119344 306.506 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 306.506 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 306.507 * * * * [progress]: [ 487 / 5906 ] simplifiying candidate # 306.508 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 306.508 * * [simplify]: iters left: 6 (47 enodes) 306.527 * * [simplify]: iters left: 5 (228 enodes) 306.601 * * [simplify]: Extracting #0: cost 1 inf + 0 306.601 * * [simplify]: Extracting #1: cost 3 inf + 0 306.601 * * [simplify]: Extracting #2: cost 10 inf + 0 306.601 * * [simplify]: Extracting #3: cost 66 inf + 0 306.602 * * [simplify]: Extracting #4: cost 117 inf + 44 306.603 * * [simplify]: Extracting #5: cost 148 inf + 1350 306.605 * * [simplify]: Extracting #6: cost 223 inf + 2976 306.608 * * [simplify]: Extracting #7: cost 210 inf + 5584 306.615 * * [simplify]: Extracting #8: cost 137 inf + 23364 306.630 * * [simplify]: Extracting #9: cost 61 inf + 52238 306.658 * * [simplify]: Extracting #10: cost 6 inf + 93301 306.691 * * [simplify]: Extracting #11: cost 1 inf + 96638 306.720 * * [simplify]: Extracting #12: cost 0 inf + 98463 306.749 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 306.749 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 306.750 * * * * [progress]: [ 488 / 5906 ] simplifiying candidate # 306.751 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 306.751 * * [simplify]: iters left: 6 (52 enodes) 306.772 * * [simplify]: iters left: 5 (256 enodes) 306.860 * * [simplify]: Extracting #0: cost 1 inf + 0 306.860 * * [simplify]: Extracting #1: cost 3 inf + 0 306.860 * * [simplify]: Extracting #2: cost 10 inf + 0 306.860 * * [simplify]: Extracting #3: cost 74 inf + 0 306.861 * * [simplify]: Extracting #4: cost 137 inf + 1 306.861 * * [simplify]: Extracting #5: cost 188 inf + 165 306.862 * * [simplify]: Extracting #6: cost 255 inf + 2093 306.864 * * [simplify]: Extracting #7: cost 214 inf + 10966 306.874 * * [simplify]: Extracting #8: cost 147 inf + 31023 306.889 * * [simplify]: Extracting #9: cost 90 inf + 53202 306.911 * * [simplify]: Extracting #10: cost 54 inf + 66674 306.940 * * [simplify]: Extracting #11: cost 21 inf + 91299 306.971 * * [simplify]: Extracting #12: cost 2 inf + 117014 307.006 * * [simplify]: Extracting #13: cost 0 inf + 120304 307.051 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 307.051 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 307.052 * * * * [progress]: [ 489 / 5906 ] simplifiying candidate # 307.053 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 307.053 * * [simplify]: iters left: 6 (47 enodes) 307.077 * * [simplify]: iters left: 5 (228 enodes) 307.173 * * [simplify]: Extracting #0: cost 1 inf + 0 307.174 * * [simplify]: Extracting #1: cost 3 inf + 0 307.174 * * [simplify]: Extracting #2: cost 10 inf + 0 307.174 * * [simplify]: Extracting #3: cost 65 inf + 0 307.174 * * [simplify]: Extracting #4: cost 117 inf + 44 307.175 * * [simplify]: Extracting #5: cost 154 inf + 618 307.177 * * [simplify]: Extracting #6: cost 224 inf + 2814 307.180 * * [simplify]: Extracting #7: cost 208 inf + 6071 307.185 * * [simplify]: Extracting #8: cost 164 inf + 15168 307.196 * * [simplify]: Extracting #9: cost 105 inf + 35608 307.216 * * [simplify]: Extracting #10: cost 39 inf + 62575 307.248 * * [simplify]: Extracting #11: cost 2 inf + 95053 307.289 * * [simplify]: Extracting #12: cost 1 inf + 96878 307.326 * * [simplify]: Extracting #13: cost 0 inf + 98703 307.346 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 307.346 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 307.347 * * * * [progress]: [ 490 / 5906 ] simplifiying candidate # 307.347 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 307.348 * * [simplify]: iters left: 6 (51 enodes) 307.361 * * [simplify]: iters left: 5 (244 enodes) 307.454 * * [simplify]: Extracting #0: cost 1 inf + 0 307.455 * * [simplify]: Extracting #1: cost 3 inf + 0 307.455 * * [simplify]: Extracting #2: cost 6 inf + 0 307.455 * * [simplify]: Extracting #3: cost 56 inf + 0 307.455 * * [simplify]: Extracting #4: cost 130 inf + 0 307.455 * * [simplify]: Extracting #5: cost 207 inf + 0 307.456 * * [simplify]: Extracting #6: cost 276 inf + 1266 307.458 * * [simplify]: Extracting #7: cost 202 inf + 15041 307.465 * * [simplify]: Extracting #8: cost 115 inf + 44319 307.475 * * [simplify]: Extracting #9: cost 55 inf + 66258 307.497 * * [simplify]: Extracting #10: cost 37 inf + 79148 307.521 * * [simplify]: Extracting #11: cost 5 inf + 117508 307.560 * * [simplify]: Extracting #12: cost 0 inf + 126113 307.593 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 307.593 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 307.595 * * * * [progress]: [ 491 / 5906 ] simplifiying candidate # 307.595 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 307.596 * * [simplify]: iters left: 6 (52 enodes) 307.612 * * [simplify]: iters left: 5 (253 enodes) 307.694 * * [simplify]: Extracting #0: cost 1 inf + 0 307.694 * * [simplify]: Extracting #1: cost 3 inf + 0 307.694 * * [simplify]: Extracting #2: cost 6 inf + 0 307.694 * * [simplify]: Extracting #3: cost 60 inf + 0 307.695 * * [simplify]: Extracting #4: cost 153 inf + 0 307.696 * * [simplify]: Extracting #5: cost 221 inf + 44 307.699 * * [simplify]: Extracting #6: cost 245 inf + 6752 307.705 * * [simplify]: Extracting #7: cost 204 inf + 14125 307.712 * * [simplify]: Extracting #8: cost 133 inf + 34209 307.722 * * [simplify]: Extracting #9: cost 67 inf + 60940 307.743 * * [simplify]: Extracting #10: cost 7 inf + 119795 307.771 * * [simplify]: Extracting #11: cost 1 inf + 126705 307.803 * * [simplify]: Extracting #12: cost 0 inf + 128810 307.851 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 307.851 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 307.852 * * * * [progress]: [ 492 / 5906 ] simplifiying candidate # 307.853 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 307.853 * * [simplify]: iters left: 6 (52 enodes) 307.879 * * [simplify]: iters left: 5 (253 enodes) 307.958 * * [simplify]: Extracting #0: cost 1 inf + 0 307.958 * * [simplify]: Extracting #1: cost 3 inf + 0 307.958 * * [simplify]: Extracting #2: cost 6 inf + 0 307.958 * * [simplify]: Extracting #3: cost 62 inf + 0 307.959 * * [simplify]: Extracting #4: cost 151 inf + 0 307.960 * * [simplify]: Extracting #5: cost 217 inf + 44 307.962 * * [simplify]: Extracting #6: cost 247 inf + 5862 307.968 * * [simplify]: Extracting #7: cost 198 inf + 15210 307.979 * * [simplify]: Extracting #8: cost 132 inf + 33689 308.000 * * [simplify]: Extracting #9: cost 59 inf + 66612 308.026 * * [simplify]: Extracting #10: cost 11 inf + 113068 308.050 * * [simplify]: Extracting #11: cost 1 inf + 124297 308.076 * * [simplify]: Extracting #12: cost 0 inf + 126402 308.101 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 308.101 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 308.102 * * * * [progress]: [ 493 / 5906 ] simplifiying candidate # 308.102 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 308.102 * * [simplify]: iters left: 6 (46 enodes) 308.117 * * [simplify]: iters left: 5 (217 enodes) 308.182 * * [simplify]: Extracting #0: cost 1 inf + 0 308.182 * * [simplify]: Extracting #1: cost 3 inf + 0 308.182 * * [simplify]: Extracting #2: cost 6 inf + 0 308.182 * * [simplify]: Extracting #3: cost 54 inf + 0 308.183 * * [simplify]: Extracting #4: cost 119 inf + 0 308.183 * * [simplify]: Extracting #5: cost 165 inf + 44 308.184 * * [simplify]: Extracting #6: cost 225 inf + 1115 308.185 * * [simplify]: Extracting #7: cost 211 inf + 3481 308.188 * * [simplify]: Extracting #8: cost 153 inf + 17047 308.195 * * [simplify]: Extracting #9: cost 93 inf + 41746 308.206 * * [simplify]: Extracting #10: cost 44 inf + 59147 308.228 * * [simplify]: Extracting #11: cost 11 inf + 89626 308.254 * * [simplify]: Extracting #12: cost 1 inf + 102036 308.279 * * [simplify]: Extracting #13: cost 0 inf + 103901 308.324 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 308.324 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 308.325 * * * * [progress]: [ 494 / 5906 ] simplifiying candidate # 308.326 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 308.326 * * [simplify]: iters left: 6 (51 enodes) 308.341 * * [simplify]: iters left: 5 (245 enodes) 308.413 * * [simplify]: Extracting #0: cost 1 inf + 0 308.413 * * [simplify]: Extracting #1: cost 3 inf + 0 308.413 * * [simplify]: Extracting #2: cost 10 inf + 0 308.413 * * [simplify]: Extracting #3: cost 74 inf + 0 308.413 * * [simplify]: Extracting #4: cost 137 inf + 1 308.414 * * [simplify]: Extracting #5: cost 186 inf + 249 308.415 * * [simplify]: Extracting #6: cost 244 inf + 1970 308.417 * * [simplify]: Extracting #7: cost 180 inf + 17402 308.423 * * [simplify]: Extracting #8: cost 132 inf + 35227 308.431 * * [simplify]: Extracting #9: cost 97 inf + 48661 308.451 * * [simplify]: Extracting #10: cost 53 inf + 65387 308.488 * * [simplify]: Extracting #11: cost 9 inf + 104567 308.517 * * [simplify]: Extracting #12: cost 0 inf + 118032 308.549 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 308.549 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 308.550 * * * * [progress]: [ 495 / 5906 ] simplifiying candidate # 308.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 308.551 * * [simplify]: iters left: 6 (46 enodes) 308.576 * * [simplify]: iters left: 5 (217 enodes) 308.645 * * [simplify]: Extracting #0: cost 1 inf + 0 308.645 * * [simplify]: Extracting #1: cost 3 inf + 0 308.645 * * [simplify]: Extracting #2: cost 10 inf + 0 308.645 * * [simplify]: Extracting #3: cost 66 inf + 0 308.646 * * [simplify]: Extracting #4: cost 117 inf + 44 308.647 * * [simplify]: Extracting #5: cost 152 inf + 822 308.649 * * [simplify]: Extracting #6: cost 214 inf + 2772 308.651 * * [simplify]: Extracting #7: cost 213 inf + 3553 308.657 * * [simplify]: Extracting #8: cost 149 inf + 19413 308.672 * * [simplify]: Extracting #9: cost 79 inf + 45153 308.692 * * [simplify]: Extracting #10: cost 42 inf + 58554 308.720 * * [simplify]: Extracting #11: cost 17 inf + 80926 308.747 * * [simplify]: Extracting #12: cost 0 inf + 98071 308.772 * * [simplify]: Extracting #13: cost 0 inf + 97831 308.808 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 308.808 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 308.809 * * * * [progress]: [ 496 / 5906 ] simplifiying candidate # 308.810 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 308.810 * * [simplify]: iters left: 6 (51 enodes) 308.837 * * [simplify]: iters left: 5 (245 enodes) 308.918 * * [simplify]: Extracting #0: cost 1 inf + 0 308.918 * * [simplify]: Extracting #1: cost 3 inf + 0 308.918 * * [simplify]: Extracting #2: cost 10 inf + 0 308.918 * * [simplify]: Extracting #3: cost 74 inf + 0 308.919 * * [simplify]: Extracting #4: cost 137 inf + 1 308.920 * * [simplify]: Extracting #5: cost 187 inf + 207 308.921 * * [simplify]: Extracting #6: cost 242 inf + 2333 308.927 * * [simplify]: Extracting #7: cost 177 inf + 17855 308.937 * * [simplify]: Extracting #8: cost 137 inf + 31755 308.947 * * [simplify]: Extracting #9: cost 97 inf + 49701 308.958 * * [simplify]: Extracting #10: cost 52 inf + 66812 308.991 * * [simplify]: Extracting #11: cost 9 inf + 105687 309.038 * * [simplify]: Extracting #12: cost 1 inf + 117167 309.084 * * [simplify]: Extracting #13: cost 0 inf + 119152 309.120 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 309.120 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 309.121 * * * * [progress]: [ 497 / 5906 ] simplifiying candidate # 309.121 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 309.121 * * [simplify]: iters left: 6 (46 enodes) 309.135 * * [simplify]: iters left: 5 (217 enodes) 309.204 * * [simplify]: Extracting #0: cost 1 inf + 0 309.204 * * [simplify]: Extracting #1: cost 3 inf + 0 309.204 * * [simplify]: Extracting #2: cost 10 inf + 0 309.204 * * [simplify]: Extracting #3: cost 65 inf + 0 309.205 * * [simplify]: Extracting #4: cost 117 inf + 44 309.206 * * [simplify]: Extracting #5: cost 153 inf + 660 309.208 * * [simplify]: Extracting #6: cost 214 inf + 2772 309.210 * * [simplify]: Extracting #7: cost 210 inf + 3837 309.216 * * [simplify]: Extracting #8: cost 149 inf + 19935 309.231 * * [simplify]: Extracting #9: cost 81 inf + 44984 309.242 * * [simplify]: Extracting #10: cost 43 inf + 58649 309.256 * * [simplify]: Extracting #11: cost 17 inf + 81486 309.282 * * [simplify]: Extracting #12: cost 0 inf + 98631 309.304 * * [simplify]: Extracting #13: cost 0 inf + 98391 309.323 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 309.323 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 309.323 * * * * [progress]: [ 498 / 5906 ] simplifiying candidate # 309.324 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 309.324 * * [simplify]: iters left: 6 (50 enodes) 309.340 * * [simplify]: iters left: 5 (240 enodes) 309.443 * * [simplify]: Extracting #0: cost 1 inf + 0 309.443 * * [simplify]: Extracting #1: cost 3 inf + 0 309.443 * * [simplify]: Extracting #2: cost 6 inf + 0 309.443 * * [simplify]: Extracting #3: cost 57 inf + 0 309.444 * * [simplify]: Extracting #4: cost 128 inf + 0 309.445 * * [simplify]: Extracting #5: cost 193 inf + 0 309.446 * * [simplify]: Extracting #6: cost 264 inf + 3156 309.450 * * [simplify]: Extracting #7: cost 203 inf + 16575 309.459 * * [simplify]: Extracting #8: cost 128 inf + 33191 309.476 * * [simplify]: Extracting #9: cost 66 inf + 55181 309.492 * * [simplify]: Extracting #10: cost 34 inf + 76830 309.518 * * [simplify]: Extracting #11: cost 4 inf + 109620 309.557 * * [simplify]: Extracting #12: cost 0 inf + 114720 309.587 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 309.587 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 309.588 * * * * [progress]: [ 499 / 5906 ] simplifiying candidate # 309.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 309.589 * * [simplify]: iters left: 6 (51 enodes) 309.613 * * [simplify]: iters left: 5 (249 enodes) 309.678 * * [simplify]: Extracting #0: cost 1 inf + 0 309.678 * * [simplify]: Extracting #1: cost 3 inf + 0 309.679 * * [simplify]: Extracting #2: cost 6 inf + 0 309.679 * * [simplify]: Extracting #3: cost 61 inf + 0 309.679 * * [simplify]: Extracting #4: cost 151 inf + 0 309.680 * * [simplify]: Extracting #5: cost 207 inf + 44 309.683 * * [simplify]: Extracting #6: cost 245 inf + 5374 309.689 * * [simplify]: Extracting #7: cost 200 inf + 17832 309.698 * * [simplify]: Extracting #8: cost 158 inf + 26322 309.709 * * [simplify]: Extracting #9: cost 110 inf + 39118 309.726 * * [simplify]: Extracting #10: cost 28 inf + 92976 309.758 * * [simplify]: Extracting #11: cost 3 inf + 111542 309.804 * * [simplify]: Extracting #12: cost 0 inf + 117097 309.844 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 309.845 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 309.845 * * * * [progress]: [ 500 / 5906 ] simplifiying candidate # 309.845 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 309.846 * * [simplify]: iters left: 6 (51 enodes) 309.860 * * [simplify]: iters left: 5 (249 enodes) 309.932 * * [simplify]: Extracting #0: cost 1 inf + 0 309.932 * * [simplify]: Extracting #1: cost 3 inf + 0 309.932 * * [simplify]: Extracting #2: cost 6 inf + 0 309.932 * * [simplify]: Extracting #3: cost 63 inf + 0 309.933 * * [simplify]: Extracting #4: cost 149 inf + 0 309.933 * * [simplify]: Extracting #5: cost 203 inf + 44 309.934 * * [simplify]: Extracting #6: cost 238 inf + 5660 309.937 * * [simplify]: Extracting #7: cost 210 inf + 14231 309.941 * * [simplify]: Extracting #8: cost 157 inf + 25270 309.947 * * [simplify]: Extracting #9: cost 118 inf + 35332 309.955 * * [simplify]: Extracting #10: cost 78 inf + 50162 309.980 * * [simplify]: Extracting #11: cost 10 inf + 104359 310.014 * * [simplify]: Extracting #12: cost 0 inf + 114809 310.041 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 310.041 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 310.042 * * * * [progress]: [ 501 / 5906 ] simplifiying candidate # 310.042 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 310.042 * * [simplify]: iters left: 6 (45 enodes) 310.056 * * [simplify]: iters left: 5 (213 enodes) 310.107 * * [simplify]: Extracting #0: cost 1 inf + 0 310.107 * * [simplify]: Extracting #1: cost 3 inf + 0 310.107 * * [simplify]: Extracting #2: cost 6 inf + 0 310.107 * * [simplify]: Extracting #3: cost 55 inf + 0 310.108 * * [simplify]: Extracting #4: cost 117 inf + 0 310.108 * * [simplify]: Extracting #5: cost 150 inf + 85 310.110 * * [simplify]: Extracting #6: cost 219 inf + 910 310.114 * * [simplify]: Extracting #7: cost 207 inf + 4004 310.120 * * [simplify]: Extracting #8: cost 142 inf + 17761 310.132 * * [simplify]: Extracting #9: cost 72 inf + 41362 310.156 * * [simplify]: Extracting #10: cost 12 inf + 80901 310.187 * * [simplify]: Extracting #11: cost 0 inf + 92388 310.220 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 310.220 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 310.220 * * * * [progress]: [ 502 / 5906 ] simplifiying candidate # 310.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 310.221 * * [simplify]: iters left: 6 (50 enodes) 310.245 * * [simplify]: iters left: 5 (241 enodes) 310.324 * * [simplify]: Extracting #0: cost 1 inf + 0 310.324 * * [simplify]: Extracting #1: cost 3 inf + 0 310.324 * * [simplify]: Extracting #2: cost 10 inf + 0 310.324 * * [simplify]: Extracting #3: cost 75 inf + 0 310.325 * * [simplify]: Extracting #4: cost 142 inf + 1 310.326 * * [simplify]: Extracting #5: cost 179 inf + 249 310.327 * * [simplify]: Extracting #6: cost 238 inf + 2738 310.330 * * [simplify]: Extracting #7: cost 210 inf + 11520 310.334 * * [simplify]: Extracting #8: cost 155 inf + 25243 310.341 * * [simplify]: Extracting #9: cost 102 inf + 44134 310.350 * * [simplify]: Extracting #10: cost 64 inf + 57574 310.373 * * [simplify]: Extracting #11: cost 23 inf + 86519 310.412 * * [simplify]: Extracting #12: cost 2 inf + 109044 310.454 * * [simplify]: Extracting #13: cost 0 inf + 111814 310.496 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) 310.496 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 310.497 * * * * [progress]: [ 503 / 5906 ] simplifiying candidate # 310.498 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 310.498 * * [simplify]: iters left: 6 (45 enodes) 310.522 * * [simplify]: iters left: 5 (213 enodes) 310.579 * * [simplify]: Extracting #0: cost 1 inf + 0 310.579 * * [simplify]: Extracting #1: cost 3 inf + 0 310.579 * * [simplify]: Extracting #2: cost 10 inf + 0 310.579 * * [simplify]: Extracting #3: cost 67 inf + 0 310.579 * * [simplify]: Extracting #4: cost 122 inf + 44 310.580 * * [simplify]: Extracting #5: cost 147 inf + 578 310.581 * * [simplify]: Extracting #6: cost 210 inf + 2934 310.582 * * [simplify]: Extracting #7: cost 216 inf + 3510 310.584 * * [simplify]: Extracting #8: cost 153 inf + 15822 310.592 * * [simplify]: Extracting #9: cost 70 inf + 45758 310.606 * * [simplify]: Extracting #10: cost 11 inf + 83873 310.631 * * [simplify]: Extracting #11: cost 0 inf + 92333 310.652 * * [simplify]: Extracting #12: cost 0 inf + 92253 310.689 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) 310.689 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 310.690 * * * * [progress]: [ 504 / 5906 ] simplifiying candidate # 310.691 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 310.692 * * [simplify]: iters left: 6 (50 enodes) 310.723 * * [simplify]: iters left: 5 (241 enodes) 310.814 * * [simplify]: Extracting #0: cost 1 inf + 0 310.814 * * [simplify]: Extracting #1: cost 3 inf + 0 310.814 * * [simplify]: Extracting #2: cost 10 inf + 0 310.814 * * [simplify]: Extracting #3: cost 75 inf + 0 310.814 * * [simplify]: Extracting #4: cost 142 inf + 1 310.815 * * [simplify]: Extracting #5: cost 180 inf + 207 310.815 * * [simplify]: Extracting #6: cost 240 inf + 2575 310.817 * * [simplify]: Extracting #7: cost 210 inf + 11520 310.821 * * [simplify]: Extracting #8: cost 157 inf + 25079 310.832 * * [simplify]: Extracting #9: cost 102 inf + 45135 310.850 * * [simplify]: Extracting #10: cost 64 inf + 58534 310.875 * * [simplify]: Extracting #11: cost 26 inf + 83604 310.902 * * [simplify]: Extracting #12: cost 4 inf + 106474 310.935 * * [simplify]: Extracting #13: cost 1 inf + 110989 310.962 * * [simplify]: Extracting #14: cost 0 inf + 112774 310.993 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) 310.993 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 310.994 * * * * [progress]: [ 505 / 5906 ] simplifiying candidate # 310.994 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 310.995 * * [simplify]: iters left: 6 (45 enodes) 311.020 * * [simplify]: iters left: 5 (213 enodes) 311.083 * * [simplify]: Extracting #0: cost 1 inf + 0 311.084 * * [simplify]: Extracting #1: cost 3 inf + 0 311.084 * * [simplify]: Extracting #2: cost 10 inf + 0 311.084 * * [simplify]: Extracting #3: cost 66 inf + 0 311.084 * * [simplify]: Extracting #4: cost 122 inf + 44 311.084 * * [simplify]: Extracting #5: cost 145 inf + 783 311.085 * * [simplify]: Extracting #6: cost 210 inf + 2934 311.087 * * [simplify]: Extracting #7: cost 214 inf + 3712 311.089 * * [simplify]: Extracting #8: cost 151 inf + 16345 311.099 * * [simplify]: Extracting #9: cost 70 inf + 45636 311.127 * * [simplify]: Extracting #10: cost 10 inf + 84645 311.161 * * [simplify]: Extracting #11: cost 0 inf + 92893 311.199 * * [simplify]: Extracting #12: cost 0 inf + 92813 311.227 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) 311.228 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 311.228 * * * * [progress]: [ 506 / 5906 ] simplifiying candidate # 311.228 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 311.229 * * [simplify]: iters left: 6 (51 enodes) 311.243 * * [simplify]: iters left: 5 (244 enodes) 311.323 * * [simplify]: Extracting #0: cost 1 inf + 0 311.323 * * [simplify]: Extracting #1: cost 3 inf + 0 311.323 * * [simplify]: Extracting #2: cost 6 inf + 0 311.323 * * [simplify]: Extracting #3: cost 56 inf + 0 311.323 * * [simplify]: Extracting #4: cost 130 inf + 0 311.324 * * [simplify]: Extracting #5: cost 207 inf + 0 311.325 * * [simplify]: Extracting #6: cost 276 inf + 1266 311.327 * * [simplify]: Extracting #7: cost 203 inf + 14919 311.333 * * [simplify]: Extracting #8: cost 114 inf + 44824 311.344 * * [simplify]: Extracting #9: cost 55 inf + 66578 311.365 * * [simplify]: Extracting #10: cost 37 inf + 79468 311.386 * * [simplify]: Extracting #11: cost 5 inf + 117828 311.430 * * [simplify]: Extracting #12: cost 0 inf + 126433 311.463 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 311.463 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 311.464 * * * * [progress]: [ 507 / 5906 ] simplifiying candidate # 311.465 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 311.465 * * [simplify]: iters left: 6 (52 enodes) 311.490 * * [simplify]: iters left: 5 (253 enodes) 311.572 * * [simplify]: Extracting #0: cost 1 inf + 0 311.572 * * [simplify]: Extracting #1: cost 3 inf + 0 311.572 * * [simplify]: Extracting #2: cost 6 inf + 0 311.572 * * [simplify]: Extracting #3: cost 60 inf + 0 311.573 * * [simplify]: Extracting #4: cost 153 inf + 0 311.574 * * [simplify]: Extracting #5: cost 221 inf + 44 311.577 * * [simplify]: Extracting #6: cost 245 inf + 6752 311.583 * * [simplify]: Extracting #7: cost 203 inf + 14407 311.594 * * [simplify]: Extracting #8: cost 134 inf + 34198 311.613 * * [simplify]: Extracting #9: cost 67 inf + 61260 311.654 * * [simplify]: Extracting #10: cost 7 inf + 120115 311.701 * * [simplify]: Extracting #11: cost 1 inf + 127025 311.735 * * [simplify]: Extracting #12: cost 0 inf + 129130 311.776 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 311.776 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 311.777 * * * * [progress]: [ 508 / 5906 ] simplifiying candidate # 311.778 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 311.778 * * [simplify]: iters left: 6 (52 enodes) 311.805 * * [simplify]: iters left: 5 (253 enodes) 311.895 * * [simplify]: Extracting #0: cost 1 inf + 0 311.895 * * [simplify]: Extracting #1: cost 3 inf + 0 311.895 * * [simplify]: Extracting #2: cost 6 inf + 0 311.895 * * [simplify]: Extracting #3: cost 62 inf + 0 311.896 * * [simplify]: Extracting #4: cost 151 inf + 0 311.897 * * [simplify]: Extracting #5: cost 217 inf + 44 311.900 * * [simplify]: Extracting #6: cost 247 inf + 5862 311.906 * * [simplify]: Extracting #7: cost 198 inf + 15210 311.917 * * [simplify]: Extracting #8: cost 133 inf + 33385 311.937 * * [simplify]: Extracting #9: cost 59 inf + 66932 311.963 * * [simplify]: Extracting #10: cost 11 inf + 113388 312.004 * * [simplify]: Extracting #11: cost 1 inf + 124617 312.050 * * [simplify]: Extracting #12: cost 0 inf + 126722 312.095 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 312.096 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 312.097 * * * * [progress]: [ 509 / 5906 ] simplifiying candidate # 312.097 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 312.098 * * [simplify]: iters left: 6 (46 enodes) 312.121 * * [simplify]: iters left: 5 (217 enodes) 312.188 * * [simplify]: Extracting #0: cost 1 inf + 0 312.188 * * [simplify]: Extracting #1: cost 3 inf + 0 312.188 * * [simplify]: Extracting #2: cost 6 inf + 0 312.189 * * [simplify]: Extracting #3: cost 54 inf + 0 312.189 * * [simplify]: Extracting #4: cost 119 inf + 0 312.190 * * [simplify]: Extracting #5: cost 165 inf + 44 312.191 * * [simplify]: Extracting #6: cost 226 inf + 1034 312.194 * * [simplify]: Extracting #7: cost 211 inf + 3521 312.199 * * [simplify]: Extracting #8: cost 154 inf + 16402 312.212 * * [simplify]: Extracting #9: cost 90 inf + 42420 312.231 * * [simplify]: Extracting #10: cost 48 inf + 56825 312.258 * * [simplify]: Extracting #11: cost 30 inf + 68751 312.297 * * [simplify]: Extracting #12: cost 8 inf + 92781 312.335 * * [simplify]: Extracting #13: cost 1 inf + 102356 312.375 * * [simplify]: Extracting #14: cost 0 inf + 104221 312.415 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))))))) 312.415 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 312.416 * * * * [progress]: [ 510 / 5906 ] simplifiying candidate # 312.417 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 312.417 * * [simplify]: iters left: 6 (51 enodes) 312.444 * * [simplify]: iters left: 5 (245 enodes) 312.549 * * [simplify]: Extracting #0: cost 1 inf + 0 312.549 * * [simplify]: Extracting #1: cost 3 inf + 0 312.549 * * [simplify]: Extracting #2: cost 10 inf + 0 312.549 * * [simplify]: Extracting #3: cost 74 inf + 0 312.550 * * [simplify]: Extracting #4: cost 137 inf + 1 312.551 * * [simplify]: Extracting #5: cost 186 inf + 249 312.552 * * [simplify]: Extracting #6: cost 244 inf + 1970 312.555 * * [simplify]: Extracting #7: cost 180 inf + 17402 312.561 * * [simplify]: Extracting #8: cost 132 inf + 35227 312.569 * * [simplify]: Extracting #9: cost 97 inf + 48821 312.580 * * [simplify]: Extracting #10: cost 53 inf + 65707 312.601 * * [simplify]: Extracting #11: cost 9 inf + 104887 312.635 * * [simplify]: Extracting #12: cost 0 inf + 118352 312.661 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 312.661 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 312.662 * * * * [progress]: [ 511 / 5906 ] simplifiying candidate # 312.662 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 312.663 * * [simplify]: iters left: 6 (46 enodes) 312.681 * * [simplify]: iters left: 5 (217 enodes) 312.740 * * [simplify]: Extracting #0: cost 1 inf + 0 312.740 * * [simplify]: Extracting #1: cost 3 inf + 0 312.740 * * [simplify]: Extracting #2: cost 10 inf + 0 312.740 * * [simplify]: Extracting #3: cost 66 inf + 0 312.740 * * [simplify]: Extracting #4: cost 117 inf + 44 312.741 * * [simplify]: Extracting #5: cost 152 inf + 822 312.742 * * [simplify]: Extracting #6: cost 214 inf + 2772 312.743 * * [simplify]: Extracting #7: cost 210 inf + 3797 312.749 * * [simplify]: Extracting #8: cost 151 inf + 19172 312.763 * * [simplify]: Extracting #9: cost 84 inf + 43551 312.782 * * [simplify]: Extracting #10: cost 42 inf + 58874 312.807 * * [simplify]: Extracting #11: cost 17 inf + 81246 312.841 * * [simplify]: Extracting #12: cost 0 inf + 98391 312.864 * * [simplify]: Extracting #13: cost 0 inf + 98151 312.900 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 312.900 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 312.901 * * * * [progress]: [ 512 / 5906 ] simplifiying candidate # 312.901 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 312.902 * * [simplify]: iters left: 6 (51 enodes) 312.928 * * [simplify]: iters left: 5 (245 enodes) 313.024 * * [simplify]: Extracting #0: cost 1 inf + 0 313.024 * * [simplify]: Extracting #1: cost 3 inf + 0 313.024 * * [simplify]: Extracting #2: cost 10 inf + 0 313.024 * * [simplify]: Extracting #3: cost 74 inf + 0 313.025 * * [simplify]: Extracting #4: cost 137 inf + 1 313.025 * * [simplify]: Extracting #5: cost 187 inf + 207 313.026 * * [simplify]: Extracting #6: cost 242 inf + 2333 313.029 * * [simplify]: Extracting #7: cost 177 inf + 17855 313.034 * * [simplify]: Extracting #8: cost 137 inf + 31755 313.042 * * [simplify]: Extracting #9: cost 97 inf + 49861 313.054 * * [simplify]: Extracting #10: cost 52 inf + 67132 313.083 * * [simplify]: Extracting #11: cost 9 inf + 106007 313.112 * * [simplify]: Extracting #12: cost 1 inf + 117487 313.149 * * [simplify]: Extracting #13: cost 0 inf + 119472 313.175 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 313.175 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 313.176 * * * * [progress]: [ 513 / 5906 ] simplifiying candidate # 313.177 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 313.177 * * [simplify]: iters left: 6 (46 enodes) 313.201 * * [simplify]: iters left: 5 (217 enodes) 313.286 * * [simplify]: Extracting #0: cost 1 inf + 0 313.286 * * [simplify]: Extracting #1: cost 3 inf + 0 313.286 * * [simplify]: Extracting #2: cost 10 inf + 0 313.286 * * [simplify]: Extracting #3: cost 65 inf + 0 313.286 * * [simplify]: Extracting #4: cost 117 inf + 44 313.287 * * [simplify]: Extracting #5: cost 153 inf + 660 313.288 * * [simplify]: Extracting #6: cost 213 inf + 2814 313.289 * * [simplify]: Extracting #7: cost 208 inf + 4001 313.292 * * [simplify]: Extracting #8: cost 148 inf + 19938 313.299 * * [simplify]: Extracting #9: cost 85 inf + 43752 313.310 * * [simplify]: Extracting #10: cost 45 inf + 58172 313.336 * * [simplify]: Extracting #11: cost 17 inf + 81806 313.370 * * [simplify]: Extracting #12: cost 0 inf + 98951 313.399 * * [simplify]: Extracting #13: cost 0 inf + 98711 313.418 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 313.418 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 313.419 * * * * [progress]: [ 514 / 5906 ] simplifiying candidate # 313.419 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 313.420 * * [simplify]: iters left: 6 (48 enodes) 313.444 * * [simplify]: iters left: 5 (231 enodes) 313.544 * * [simplify]: Extracting #0: cost 1 inf + 0 313.544 * * [simplify]: Extracting #1: cost 3 inf + 0 313.544 * * [simplify]: Extracting #2: cost 6 inf + 0 313.545 * * [simplify]: Extracting #3: cost 54 inf + 0 313.545 * * [simplify]: Extracting #4: cost 120 inf + 0 313.546 * * [simplify]: Extracting #5: cost 187 inf + 0 313.547 * * [simplify]: Extracting #6: cost 252 inf + 3033 313.551 * * [simplify]: Extracting #7: cost 202 inf + 13481 313.555 * * [simplify]: Extracting #8: cost 145 inf + 24375 313.561 * * [simplify]: Extracting #9: cost 105 inf + 35013 313.571 * * [simplify]: Extracting #10: cost 51 inf + 57225 313.583 * * [simplify]: Extracting #11: cost 32 inf + 71698 313.611 * * [simplify]: Extracting #12: cost 2 inf + 104168 313.651 * * [simplify]: Extracting #13: cost 0 inf + 107698 313.678 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) 313.678 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 313.679 * * * * [progress]: [ 515 / 5906 ] simplifiying candidate # 313.679 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 313.679 * * [simplify]: iters left: 6 (49 enodes) 313.696 * * [simplify]: iters left: 5 (240 enodes) 313.775 * * [simplify]: Extracting #0: cost 1 inf + 0 313.775 * * [simplify]: Extracting #1: cost 3 inf + 0 313.775 * * [simplify]: Extracting #2: cost 6 inf + 0 313.775 * * [simplify]: Extracting #3: cost 58 inf + 0 313.776 * * [simplify]: Extracting #4: cost 143 inf + 0 313.776 * * [simplify]: Extracting #5: cost 200 inf + 85 313.777 * * [simplify]: Extracting #6: cost 235 inf + 4568 313.780 * * [simplify]: Extracting #7: cost 199 inf + 13971 313.785 * * [simplify]: Extracting #8: cost 113 inf + 37576 313.796 * * [simplify]: Extracting #9: cost 50 inf + 63147 313.814 * * [simplify]: Extracting #10: cost 9 inf + 100770 313.836 * * [simplify]: Extracting #11: cost 0 inf + 110555 313.875 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 313.875 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 313.876 * * * * [progress]: [ 516 / 5906 ] simplifiying candidate # 313.876 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 313.877 * * [simplify]: iters left: 6 (49 enodes) 313.892 * * [simplify]: iters left: 5 (240 enodes) 313.975 * * [simplify]: Extracting #0: cost 1 inf + 0 313.975 * * [simplify]: Extracting #1: cost 3 inf + 0 313.975 * * [simplify]: Extracting #2: cost 6 inf + 0 313.976 * * [simplify]: Extracting #3: cost 60 inf + 0 313.976 * * [simplify]: Extracting #4: cost 141 inf + 0 313.977 * * [simplify]: Extracting #5: cost 195 inf + 166 313.980 * * [simplify]: Extracting #6: cost 227 inf + 6093 313.985 * * [simplify]: Extracting #7: cost 196 inf + 14952 313.997 * * [simplify]: Extracting #8: cost 134 inf + 30777 314.013 * * [simplify]: Extracting #9: cost 86 inf + 48673 314.033 * * [simplify]: Extracting #10: cost 49 inf + 61882 314.056 * * [simplify]: Extracting #11: cost 34 inf + 70857 314.088 * * [simplify]: Extracting #12: cost 6 inf + 100117 314.128 * * [simplify]: Extracting #13: cost 0 inf + 107987 314.159 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 314.159 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 314.160 * * * * [progress]: [ 517 / 5906 ] simplifiying candidate # 314.160 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 314.160 * * [simplify]: iters left: 6 (43 enodes) 314.172 * * [simplify]: iters left: 5 (204 enodes) 314.225 * * [simplify]: Extracting #0: cost 1 inf + 0 314.225 * * [simplify]: Extracting #1: cost 3 inf + 0 314.225 * * [simplify]: Extracting #2: cost 6 inf + 0 314.225 * * [simplify]: Extracting #3: cost 52 inf + 0 314.226 * * [simplify]: Extracting #4: cost 109 inf + 0 314.227 * * [simplify]: Extracting #5: cost 144 inf + 126 314.228 * * [simplify]: Extracting #6: cost 198 inf + 1964 314.231 * * [simplify]: Extracting #7: cost 187 inf + 5057 314.236 * * [simplify]: Extracting #8: cost 136 inf + 14484 314.246 * * [simplify]: Extracting #9: cost 90 inf + 33255 314.266 * * [simplify]: Extracting #10: cost 44 inf + 48706 314.279 * * [simplify]: Extracting #11: cost 29 inf + 57001 314.294 * * [simplify]: Extracting #12: cost 4 inf + 80786 314.312 * * [simplify]: Extracting #13: cost 0 inf + 85926 314.337 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) 314.337 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 314.338 * * * * [progress]: [ 518 / 5906 ] simplifiying candidate # 314.338 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 314.339 * * [simplify]: iters left: 6 (48 enodes) 314.365 * * [simplify]: iters left: 5 (232 enodes) 314.450 * * [simplify]: Extracting #0: cost 1 inf + 0 314.450 * * [simplify]: Extracting #1: cost 3 inf + 0 314.450 * * [simplify]: Extracting #2: cost 10 inf + 0 314.450 * * [simplify]: Extracting #3: cost 72 inf + 0 314.450 * * [simplify]: Extracting #4: cost 126 inf + 42 314.451 * * [simplify]: Extracting #5: cost 167 inf + 207 314.452 * * [simplify]: Extracting #6: cost 221 inf + 2450 314.454 * * [simplify]: Extracting #7: cost 201 inf + 9374 314.456 * * [simplify]: Extracting #8: cost 151 inf + 19333 314.462 * * [simplify]: Extracting #9: cost 106 inf + 33056 314.471 * * [simplify]: Extracting #10: cost 52 inf + 53997 314.481 * * [simplify]: Extracting #11: cost 30 inf + 68027 314.504 * * [simplify]: Extracting #12: cost 4 inf + 94557 314.535 * * [simplify]: Extracting #13: cost 0 inf + 100817 314.555 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 314.556 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 314.556 * * * * [progress]: [ 519 / 5906 ] simplifiying candidate # 314.556 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 314.557 * * [simplify]: iters left: 6 (43 enodes) 314.571 * * [simplify]: iters left: 5 (204 enodes) 314.637 * * [simplify]: Extracting #0: cost 1 inf + 0 314.637 * * [simplify]: Extracting #1: cost 3 inf + 0 314.637 * * [simplify]: Extracting #2: cost 10 inf + 0 314.637 * * [simplify]: Extracting #3: cost 64 inf + 0 314.638 * * [simplify]: Extracting #4: cost 107 inf + 44 314.638 * * [simplify]: Extracting #5: cost 130 inf + 1187 314.639 * * [simplify]: Extracting #6: cost 191 inf + 2772 314.640 * * [simplify]: Extracting #7: cost 185 inf + 5860 314.649 * * [simplify]: Extracting #8: cost 101 inf + 28089 314.664 * * [simplify]: Extracting #9: cost 45 inf + 48397 314.684 * * [simplify]: Extracting #10: cost 24 inf + 59282 314.712 * * [simplify]: Extracting #11: cost 2 inf + 78886 314.730 * * [simplify]: Extracting #12: cost 0 inf + 81976 314.750 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) 314.750 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 314.751 * * * * [progress]: [ 520 / 5906 ] simplifiying candidate # 314.751 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 314.752 * * [simplify]: iters left: 6 (48 enodes) 314.771 * * [simplify]: iters left: 5 (232 enodes) 314.838 * * [simplify]: Extracting #0: cost 1 inf + 0 314.838 * * [simplify]: Extracting #1: cost 3 inf + 0 314.838 * * [simplify]: Extracting #2: cost 10 inf + 0 314.838 * * [simplify]: Extracting #3: cost 72 inf + 0 314.839 * * [simplify]: Extracting #4: cost 126 inf + 42 314.839 * * [simplify]: Extracting #5: cost 166 inf + 249 314.840 * * [simplify]: Extracting #6: cost 222 inf + 2570 314.842 * * [simplify]: Extracting #7: cost 203 inf + 8557 314.847 * * [simplify]: Extracting #8: cost 143 inf + 21966 314.856 * * [simplify]: Extracting #9: cost 63 inf + 47955 314.877 * * [simplify]: Extracting #10: cost 30 inf + 69307 314.906 * * [simplify]: Extracting #11: cost 4 inf + 95837 314.926 * * [simplify]: Extracting #12: cost 0 inf + 102097 314.959 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 314.959 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 314.959 * * * * [progress]: [ 521 / 5906 ] simplifiying candidate # 314.959 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 314.960 * * [simplify]: iters left: 6 (43 enodes) 314.971 * * [simplify]: iters left: 5 (204 enodes) 315.044 * * [simplify]: Extracting #0: cost 1 inf + 0 315.044 * * [simplify]: Extracting #1: cost 3 inf + 0 315.044 * * [simplify]: Extracting #2: cost 10 inf + 0 315.044 * * [simplify]: Extracting #3: cost 63 inf + 0 315.044 * * [simplify]: Extracting #4: cost 107 inf + 44 315.045 * * [simplify]: Extracting #5: cost 132 inf + 862 315.047 * * [simplify]: Extracting #6: cost 190 inf + 2934 315.050 * * [simplify]: Extracting #7: cost 189 inf + 5091 315.054 * * [simplify]: Extracting #8: cost 140 inf + 13595 315.064 * * [simplify]: Extracting #9: cost 88 inf + 31589 315.081 * * [simplify]: Extracting #10: cost 39 inf + 50187 315.099 * * [simplify]: Extracting #11: cost 24 inf + 58296 315.130 * * [simplify]: Extracting #12: cost 2 inf + 79286 315.160 * * [simplify]: Extracting #13: cost 0 inf + 82376 315.191 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) 315.191 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 315.192 * * * * [progress]: [ 522 / 5906 ] simplifiying candidate # 315.193 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 315.193 * * [simplify]: iters left: 6 (47 enodes) 315.219 * * [simplify]: iters left: 5 (233 enodes) 315.296 * * [simplify]: Extracting #0: cost 1 inf + 0 315.296 * * [simplify]: Extracting #1: cost 3 inf + 0 315.296 * * [simplify]: Extracting #2: cost 6 inf + 0 315.296 * * [simplify]: Extracting #3: cost 54 inf + 0 315.297 * * [simplify]: Extracting #4: cost 120 inf + 0 315.297 * * [simplify]: Extracting #5: cost 191 inf + 0 315.298 * * [simplify]: Extracting #6: cost 273 inf + 845 315.300 * * [simplify]: Extracting #7: cost 243 inf + 9724 315.304 * * [simplify]: Extracting #8: cost 159 inf + 26059 315.313 * * [simplify]: Extracting #9: cost 80 inf + 54232 315.327 * * [simplify]: Extracting #10: cost 34 inf + 75840 315.355 * * [simplify]: Extracting #11: cost 6 inf + 101060 315.380 * * [simplify]: Extracting #12: cost 0 inf + 109410 315.423 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 315.423 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 315.424 * * * * [progress]: [ 523 / 5906 ] simplifiying candidate # 315.425 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 315.425 * * [simplify]: iters left: 6 (48 enodes) 315.450 * * [simplify]: iters left: 5 (242 enodes) 315.534 * * [simplify]: Extracting #0: cost 1 inf + 0 315.534 * * [simplify]: Extracting #1: cost 3 inf + 0 315.535 * * [simplify]: Extracting #2: cost 6 inf + 0 315.535 * * [simplify]: Extracting #3: cost 58 inf + 0 315.535 * * [simplify]: Extracting #4: cost 143 inf + 0 315.536 * * [simplify]: Extracting #5: cost 203 inf + 127 315.539 * * [simplify]: Extracting #6: cost 261 inf + 4758 315.544 * * [simplify]: Extracting #7: cost 222 inf + 16603 315.553 * * [simplify]: Extracting #8: cost 152 inf + 25871 315.562 * * [simplify]: Extracting #9: cost 95 inf + 45467 315.576 * * [simplify]: Extracting #10: cost 34 inf + 78942 315.607 * * [simplify]: Extracting #11: cost 3 inf + 108872 315.635 * * [simplify]: Extracting #12: cost 0 inf + 112667 315.670 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 315.670 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 315.671 * * * * [progress]: [ 524 / 5906 ] simplifiying candidate # 315.671 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 315.671 * * [simplify]: iters left: 6 (48 enodes) 315.685 * * [simplify]: iters left: 5 (242 enodes) 315.775 * * [simplify]: Extracting #0: cost 1 inf + 0 315.775 * * [simplify]: Extracting #1: cost 3 inf + 0 315.775 * * [simplify]: Extracting #2: cost 6 inf + 0 315.775 * * [simplify]: Extracting #3: cost 60 inf + 0 315.776 * * [simplify]: Extracting #4: cost 141 inf + 0 315.776 * * [simplify]: Extracting #5: cost 198 inf + 169 315.778 * * [simplify]: Extracting #6: cost 262 inf + 2666 315.783 * * [simplify]: Extracting #7: cost 223 inf + 14701 315.792 * * [simplify]: Extracting #8: cost 122 inf + 36954 315.822 * * [simplify]: Extracting #9: cost 31 inf + 86449 315.858 * * [simplify]: Extracting #10: cost 5 inf + 108080 315.885 * * [simplify]: Extracting #11: cost 0 inf + 113539 315.931 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 315.931 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 315.932 * * * * [progress]: [ 525 / 5906 ] simplifiying candidate # 315.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 315.933 * * [simplify]: iters left: 6 (42 enodes) 315.955 * * [simplify]: iters left: 5 (206 enodes) 316.040 * * [simplify]: Extracting #0: cost 1 inf + 0 316.040 * * [simplify]: Extracting #1: cost 3 inf + 0 316.041 * * [simplify]: Extracting #2: cost 6 inf + 0 316.041 * * [simplify]: Extracting #3: cost 52 inf + 0 316.044 * * [simplify]: Extracting #4: cost 109 inf + 0 316.045 * * [simplify]: Extracting #5: cost 149 inf + 44 316.046 * * [simplify]: Extracting #6: cost 220 inf + 1030 316.048 * * [simplify]: Extracting #7: cost 215 inf + 3226 316.053 * * [simplify]: Extracting #8: cost 162 inf + 11009 316.061 * * [simplify]: Extracting #9: cost 97 inf + 32155 316.073 * * [simplify]: Extracting #10: cost 31 inf + 64169 316.090 * * [simplify]: Extracting #11: cost 4 inf + 84498 316.109 * * [simplify]: Extracting #12: cost 0 inf + 88598 316.140 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 316.140 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 316.142 * * * * [progress]: [ 526 / 5906 ] simplifiying candidate # 316.142 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 316.143 * * [simplify]: iters left: 6 (47 enodes) 316.164 * * [simplify]: iters left: 5 (234 enodes) 316.227 * * [simplify]: Extracting #0: cost 1 inf + 0 316.227 * * [simplify]: Extracting #1: cost 3 inf + 0 316.227 * * [simplify]: Extracting #2: cost 10 inf + 0 316.227 * * [simplify]: Extracting #3: cost 72 inf + 0 316.227 * * [simplify]: Extracting #4: cost 126 inf + 42 316.228 * * [simplify]: Extracting #5: cost 169 inf + 290 316.229 * * [simplify]: Extracting #6: cost 238 inf + 2567 316.230 * * [simplify]: Extracting #7: cost 222 inf + 8758 316.234 * * [simplify]: Extracting #8: cost 145 inf + 23334 316.241 * * [simplify]: Extracting #9: cost 90 inf + 44281 316.262 * * [simplify]: Extracting #10: cost 35 inf + 71654 316.297 * * [simplify]: Extracting #11: cost 6 inf + 95579 316.330 * * [simplify]: Extracting #12: cost 0 inf + 104169 316.352 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 316.352 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 316.354 * * * * [progress]: [ 527 / 5906 ] simplifiying candidate # 316.354 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 316.355 * * [simplify]: iters left: 6 (42 enodes) 316.373 * * [simplify]: iters left: 5 (206 enodes) 316.438 * * [simplify]: Extracting #0: cost 1 inf + 0 316.438 * * [simplify]: Extracting #1: cost 3 inf + 0 316.438 * * [simplify]: Extracting #2: cost 10 inf + 0 316.438 * * [simplify]: Extracting #3: cost 64 inf + 0 316.438 * * [simplify]: Extracting #4: cost 105 inf + 208 316.439 * * [simplify]: Extracting #5: cost 128 inf + 1958 316.440 * * [simplify]: Extracting #6: cost 205 inf + 2932 316.441 * * [simplify]: Extracting #7: cost 212 inf + 3508 316.443 * * [simplify]: Extracting #8: cost 153 inf + 15314 316.451 * * [simplify]: Extracting #9: cost 73 inf + 42719 316.463 * * [simplify]: Extracting #10: cost 32 inf + 63949 316.491 * * [simplify]: Extracting #11: cost 6 inf + 81866 316.529 * * [simplify]: Extracting #12: cost 0 inf + 87168 316.557 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2))) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 316.557 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2))) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 316.558 * * * * [progress]: [ 528 / 5906 ] simplifiying candidate # 316.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 316.558 * * [simplify]: iters left: 6 (47 enodes) 316.572 * * [simplify]: iters left: 5 (234 enodes) 316.648 * * [simplify]: Extracting #0: cost 1 inf + 0 316.649 * * [simplify]: Extracting #1: cost 3 inf + 0 316.649 * * [simplify]: Extracting #2: cost 10 inf + 0 316.649 * * [simplify]: Extracting #3: cost 72 inf + 0 316.649 * * [simplify]: Extracting #4: cost 126 inf + 42 316.650 * * [simplify]: Extracting #5: cost 167 inf + 494 316.652 * * [simplify]: Extracting #6: cost 234 inf + 3334 316.656 * * [simplify]: Extracting #7: cost 222 inf + 8718 316.661 * * [simplify]: Extracting #8: cost 142 inf + 24120 316.670 * * [simplify]: Extracting #9: cost 90 inf + 45001 316.683 * * [simplify]: Extracting #10: cost 36 inf + 72109 316.709 * * [simplify]: Extracting #11: cost 6 inf + 96539 316.731 * * [simplify]: Extracting #12: cost 0 inf + 105129 316.771 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 316.771 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 316.772 * * * * [progress]: [ 529 / 5906 ] simplifiying candidate # 316.772 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 316.772 * * [simplify]: iters left: 6 (42 enodes) 316.784 * * [simplify]: iters left: 5 (206 enodes) 316.857 * * [simplify]: Extracting #0: cost 1 inf + 0 316.857 * * [simplify]: Extracting #1: cost 3 inf + 0 316.857 * * [simplify]: Extracting #2: cost 10 inf + 0 316.857 * * [simplify]: Extracting #3: cost 63 inf + 0 316.858 * * [simplify]: Extracting #4: cost 106 inf + 86 316.859 * * [simplify]: Extracting #5: cost 130 inf + 1594 316.861 * * [simplify]: Extracting #6: cost 205 inf + 2932 316.863 * * [simplify]: Extracting #7: cost 211 inf + 3589 316.868 * * [simplify]: Extracting #8: cost 152 inf + 15739 316.882 * * [simplify]: Extracting #9: cost 74 inf + 42134 316.904 * * [simplify]: Extracting #10: cost 33 inf + 63465 316.927 * * [simplify]: Extracting #11: cost 8 inf + 81138 316.953 * * [simplify]: Extracting #12: cost 0 inf + 87568 316.974 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 316.974 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 316.976 * * * * [progress]: [ 530 / 5906 ] simplifiying candidate # 316.976 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 316.977 * * [simplify]: iters left: 6 (47 enodes) 316.999 * * [simplify]: iters left: 5 (229 enodes) 317.083 * * [simplify]: Extracting #0: cost 1 inf + 0 317.083 * * [simplify]: Extracting #1: cost 3 inf + 0 317.083 * * [simplify]: Extracting #2: cost 6 inf + 0 317.083 * * [simplify]: Extracting #3: cost 48 inf + 0 317.083 * * [simplify]: Extracting #4: cost 112 inf + 0 317.084 * * [simplify]: Extracting #5: cost 183 inf + 0 317.085 * * [simplify]: Extracting #6: cost 268 inf + 169 317.088 * * [simplify]: Extracting #7: cost 258 inf + 4126 317.093 * * [simplify]: Extracting #8: cost 168 inf + 20651 317.099 * * [simplify]: Extracting #9: cost 101 inf + 38828 317.110 * * [simplify]: Extracting #10: cost 40 inf + 69016 317.137 * * [simplify]: Extracting #11: cost 9 inf + 97911 317.175 * * [simplify]: Extracting #12: cost 0 inf + 109376 317.198 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 317.198 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 317.199 * * * * [progress]: [ 531 / 5906 ] simplifiying candidate # 317.200 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 317.200 * * [simplify]: iters left: 6 (48 enodes) 317.223 * * [simplify]: iters left: 5 (238 enodes) 317.308 * * [simplify]: Extracting #0: cost 1 inf + 0 317.308 * * [simplify]: Extracting #1: cost 3 inf + 0 317.308 * * [simplify]: Extracting #2: cost 6 inf + 0 317.308 * * [simplify]: Extracting #3: cost 52 inf + 0 317.309 * * [simplify]: Extracting #4: cost 135 inf + 0 317.310 * * [simplify]: Extracting #5: cost 193 inf + 370 317.313 * * [simplify]: Extracting #6: cost 240 inf + 5730 317.318 * * [simplify]: Extracting #7: cost 219 inf + 13463 317.329 * * [simplify]: Extracting #8: cost 114 inf + 37784 317.350 * * [simplify]: Extracting #9: cost 41 inf + 69065 317.384 * * [simplify]: Extracting #10: cost 7 inf + 100161 317.427 * * [simplify]: Extracting #11: cost 0 inf + 107193 317.468 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 317.468 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 317.469 * * * * [progress]: [ 532 / 5906 ] simplifiying candidate # 317.470 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 317.470 * * [simplify]: iters left: 6 (48 enodes) 317.496 * * [simplify]: iters left: 5 (238 enodes) 317.579 * * [simplify]: Extracting #0: cost 1 inf + 0 317.579 * * [simplify]: Extracting #1: cost 3 inf + 0 317.579 * * [simplify]: Extracting #2: cost 6 inf + 0 317.579 * * [simplify]: Extracting #3: cost 54 inf + 0 317.580 * * [simplify]: Extracting #4: cost 133 inf + 0 317.581 * * [simplify]: Extracting #5: cost 189 inf + 210 317.583 * * [simplify]: Extracting #6: cost 246 inf + 3671 317.586 * * [simplify]: Extracting #7: cost 222 inf + 12098 317.594 * * [simplify]: Extracting #8: cost 142 inf + 28531 317.606 * * [simplify]: Extracting #9: cost 56 inf + 61270 317.629 * * [simplify]: Extracting #10: cost 11 inf + 97274 317.667 * * [simplify]: Extracting #11: cost 0 inf + 106785 317.708 * * [simplify]: Extracting #12: cost 0 inf + 106425 317.731 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) 317.731 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 317.732 * * * * [progress]: [ 533 / 5906 ] simplifiying candidate # 317.732 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 317.733 * * [simplify]: iters left: 6 (42 enodes) 317.745 * * [simplify]: iters left: 5 (203 enodes) 317.813 * * [simplify]: Extracting #0: cost 1 inf + 0 317.813 * * [simplify]: Extracting #1: cost 3 inf + 0 317.813 * * [simplify]: Extracting #2: cost 6 inf + 0 317.813 * * [simplify]: Extracting #3: cost 46 inf + 0 317.814 * * [simplify]: Extracting #4: cost 101 inf + 0 317.814 * * [simplify]: Extracting #5: cost 140 inf + 85 317.815 * * [simplify]: Extracting #6: cost 210 inf + 1071 317.816 * * [simplify]: Extracting #7: cost 206 inf + 3469 317.819 * * [simplify]: Extracting #8: cost 130 inf + 18577 317.826 * * [simplify]: Extracting #9: cost 66 inf + 39694 317.842 * * [simplify]: Extracting #10: cost 11 inf + 75912 317.867 * * [simplify]: Extracting #11: cost 1 inf + 84619 317.890 * * [simplify]: Extracting #12: cost 0 inf + 86204 317.918 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 317.918 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 317.919 * * * * [progress]: [ 534 / 5906 ] simplifiying candidate # 317.920 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 317.920 * * [simplify]: iters left: 6 (47 enodes) 317.948 * * [simplify]: iters left: 5 (231 enodes) 318.020 * * [simplify]: Extracting #0: cost 1 inf + 0 318.020 * * [simplify]: Extracting #1: cost 3 inf + 0 318.020 * * [simplify]: Extracting #2: cost 10 inf + 0 318.020 * * [simplify]: Extracting #3: cost 62 inf + 0 318.021 * * [simplify]: Extracting #4: cost 115 inf + 42 318.022 * * [simplify]: Extracting #5: cost 158 inf + 290 318.023 * * [simplify]: Extracting #6: cost 228 inf + 2603 318.026 * * [simplify]: Extracting #7: cost 219 inf + 6750 318.033 * * [simplify]: Extracting #8: cost 126 inf + 26560 318.049 * * [simplify]: Extracting #9: cost 55 inf + 55048 318.069 * * [simplify]: Extracting #10: cost 8 inf + 90100 318.098 * * [simplify]: Extracting #11: cost 0 inf + 99980 318.140 * * [simplify]: Extracting #12: cost 0 inf + 98580 318.161 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 318.161 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 318.162 * * * * [progress]: [ 535 / 5906 ] simplifiying candidate # 318.162 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 318.162 * * [simplify]: iters left: 6 (42 enodes) 318.174 * * [simplify]: iters left: 5 (204 enodes) 318.251 * * [simplify]: Extracting #0: cost 1 inf + 0 318.251 * * [simplify]: Extracting #1: cost 3 inf + 0 318.251 * * [simplify]: Extracting #2: cost 10 inf + 0 318.251 * * [simplify]: Extracting #3: cost 54 inf + 0 318.252 * * [simplify]: Extracting #4: cost 96 inf + 44 318.253 * * [simplify]: Extracting #5: cost 119 inf + 1714 318.254 * * [simplify]: Extracting #6: cost 194 inf + 2932 318.257 * * [simplify]: Extracting #7: cost 202 inf + 3386 318.260 * * [simplify]: Extracting #8: cost 165 inf + 8258 318.267 * * [simplify]: Extracting #9: cost 105 inf + 21952 318.275 * * [simplify]: Extracting #10: cost 44 inf + 47290 318.289 * * [simplify]: Extracting #11: cost 8 inf + 72739 318.314 * * [simplify]: Extracting #12: cost 2 inf + 78729 318.345 * * [simplify]: Extracting #13: cost 1 inf + 80274 318.377 * * [simplify]: Extracting #14: cost 0 inf + 81819 318.411 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 318.411 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 318.412 * * * * [progress]: [ 536 / 5906 ] simplifiying candidate # 318.412 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 318.413 * * [simplify]: iters left: 6 (47 enodes) 318.437 * * [simplify]: iters left: 5 (231 enodes) 318.503 * * [simplify]: Extracting #0: cost 1 inf + 0 318.503 * * [simplify]: Extracting #1: cost 3 inf + 0 318.503 * * [simplify]: Extracting #2: cost 10 inf + 0 318.504 * * [simplify]: Extracting #3: cost 62 inf + 0 318.504 * * [simplify]: Extracting #4: cost 115 inf + 42 318.505 * * [simplify]: Extracting #5: cost 157 inf + 332 318.507 * * [simplify]: Extracting #6: cost 220 inf + 3939 318.510 * * [simplify]: Extracting #7: cost 217 inf + 7465 318.515 * * [simplify]: Extracting #8: cost 124 inf + 27256 318.524 * * [simplify]: Extracting #9: cost 56 inf + 54244 318.541 * * [simplify]: Extracting #10: cost 8 inf + 90860 318.580 * * [simplify]: Extracting #11: cost 0 inf + 100860 318.606 * * [simplify]: Extracting #12: cost 0 inf + 99380 318.637 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 318.637 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 318.638 * * * * [progress]: [ 537 / 5906 ] simplifiying candidate # 318.638 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 318.638 * * [simplify]: iters left: 6 (42 enodes) 318.650 * * [simplify]: iters left: 5 (204 enodes) 318.705 * * [simplify]: Extracting #0: cost 1 inf + 0 318.705 * * [simplify]: Extracting #1: cost 3 inf + 0 318.705 * * [simplify]: Extracting #2: cost 10 inf + 0 318.705 * * [simplify]: Extracting #3: cost 53 inf + 0 318.706 * * [simplify]: Extracting #4: cost 96 inf + 44 318.706 * * [simplify]: Extracting #5: cost 125 inf + 942 318.708 * * [simplify]: Extracting #6: cost 194 inf + 2932 318.710 * * [simplify]: Extracting #7: cost 200 inf + 3588 318.714 * * [simplify]: Extracting #8: cost 162 inf + 8982 318.721 * * [simplify]: Extracting #9: cost 105 inf + 21992 318.729 * * [simplify]: Extracting #10: cost 45 inf + 47007 318.743 * * [simplify]: Extracting #11: cost 8 inf + 73139 318.767 * * [simplify]: Extracting #12: cost 1 inf + 80674 318.799 * * [simplify]: Extracting #13: cost 0 inf + 82219 318.816 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 318.816 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 318.817 * * * * [progress]: [ 538 / 5906 ] simplifiying candidate # 318.817 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 318.818 * * [simplify]: iters left: 6 (51 enodes) 318.841 * * [simplify]: iters left: 5 (250 enodes) 318.925 * * [simplify]: Extracting #0: cost 1 inf + 0 318.925 * * [simplify]: Extracting #1: cost 3 inf + 0 318.925 * * [simplify]: Extracting #2: cost 6 inf + 0 318.925 * * [simplify]: Extracting #3: cost 50 inf + 0 318.926 * * [simplify]: Extracting #4: cost 116 inf + 0 318.926 * * [simplify]: Extracting #5: cost 185 inf + 0 318.928 * * [simplify]: Extracting #6: cost 280 inf + 722 318.931 * * [simplify]: Extracting #7: cost 241 inf + 9207 318.941 * * [simplify]: Extracting #8: cost 149 inf + 25654 318.954 * * [simplify]: Extracting #9: cost 105 inf + 38329 318.974 * * [simplify]: Extracting #10: cost 55 inf + 61859 319.000 * * [simplify]: Extracting #11: cost 36 inf + 74762 319.036 * * [simplify]: Extracting #12: cost 6 inf + 102072 319.079 * * [simplify]: Extracting #13: cost 1 inf + 108517 319.115 * * [simplify]: Extracting #14: cost 0 inf + 110262 319.141 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 319.141 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 319.142 * * * * [progress]: [ 539 / 5906 ] simplifiying candidate # 319.143 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 319.144 * * [simplify]: iters left: 6 (52 enodes) 319.172 * * [simplify]: iters left: 5 (259 enodes) 319.287 * * [simplify]: Extracting #0: cost 1 inf + 0 319.287 * * [simplify]: Extracting #1: cost 3 inf + 0 319.287 * * [simplify]: Extracting #2: cost 6 inf + 0 319.288 * * [simplify]: Extracting #3: cost 53 inf + 0 319.288 * * [simplify]: Extracting #4: cost 138 inf + 0 319.290 * * [simplify]: Extracting #5: cost 197 inf + 85 319.292 * * [simplify]: Extracting #6: cost 258 inf + 4197 319.297 * * [simplify]: Extracting #7: cost 231 inf + 11820 319.306 * * [simplify]: Extracting #8: cost 134 inf + 34349 319.325 * * [simplify]: Extracting #9: cost 66 inf + 57071 319.343 * * [simplify]: Extracting #10: cost 31 inf + 83382 319.364 * * [simplify]: Extracting #11: cost 3 inf + 107459 319.389 * * [simplify]: Extracting #12: cost 0 inf + 112414 319.412 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 319.412 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 319.413 * * * * [progress]: [ 540 / 5906 ] simplifiying candidate # 319.413 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 319.413 * * [simplify]: iters left: 6 (52 enodes) 319.429 * * [simplify]: iters left: 5 (259 enodes) 319.518 * * [simplify]: Extracting #0: cost 1 inf + 0 319.518 * * [simplify]: Extracting #1: cost 3 inf + 0 319.518 * * [simplify]: Extracting #2: cost 6 inf + 0 319.518 * * [simplify]: Extracting #3: cost 55 inf + 0 319.519 * * [simplify]: Extracting #4: cost 136 inf + 0 319.520 * * [simplify]: Extracting #5: cost 193 inf + 85 319.522 * * [simplify]: Extracting #6: cost 260 inf + 3186 319.526 * * [simplify]: Extracting #7: cost 237 inf + 11161 319.533 * * [simplify]: Extracting #8: cost 171 inf + 22212 319.544 * * [simplify]: Extracting #9: cost 111 inf + 36812 319.562 * * [simplify]: Extracting #10: cost 68 inf + 54260 319.588 * * [simplify]: Extracting #11: cost 35 inf + 77042 319.629 * * [simplify]: Extracting #12: cost 1 inf + 108581 319.671 * * [simplify]: Extracting #13: cost 0 inf + 110366 319.713 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 319.713 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 319.714 * * * * [progress]: [ 541 / 5906 ] simplifiying candidate # 319.715 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 319.715 * * [simplify]: iters left: 6 (46 enodes) 319.740 * * [simplify]: iters left: 5 (225 enodes) 319.834 * * [simplify]: Extracting #0: cost 1 inf + 0 319.834 * * [simplify]: Extracting #1: cost 3 inf + 0 319.834 * * [simplify]: Extracting #2: cost 6 inf + 0 319.834 * * [simplify]: Extracting #3: cost 47 inf + 0 319.835 * * [simplify]: Extracting #4: cost 104 inf + 0 319.835 * * [simplify]: Extracting #5: cost 142 inf + 126 319.837 * * [simplify]: Extracting #6: cost 224 inf + 990 319.839 * * [simplify]: Extracting #7: cost 226 inf + 2334 319.842 * * [simplify]: Extracting #8: cost 167 inf + 10810 319.851 * * [simplify]: Extracting #9: cost 109 inf + 26927 319.869 * * [simplify]: Extracting #10: cost 44 inf + 56174 319.899 * * [simplify]: Extracting #11: cost 6 inf + 86744 319.934 * * [simplify]: Extracting #12: cost 0 inf + 90368 319.972 * * [simplify]: Extracting #13: cost 0 inf + 89808 320.006 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 320.006 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 320.007 * * * * [progress]: [ 542 / 5906 ] simplifiying candidate # 320.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 320.008 * * [simplify]: iters left: 6 (51 enodes) 320.036 * * [simplify]: iters left: 5 (252 enodes) 320.126 * * [simplify]: Extracting #0: cost 1 inf + 0 320.126 * * [simplify]: Extracting #1: cost 3 inf + 0 320.126 * * [simplify]: Extracting #2: cost 10 inf + 0 320.126 * * [simplify]: Extracting #3: cost 63 inf + 0 320.127 * * [simplify]: Extracting #4: cost 118 inf + 42 320.128 * * [simplify]: Extracting #5: cost 161 inf + 249 320.130 * * [simplify]: Extracting #6: cost 241 inf + 2083 320.133 * * [simplify]: Extracting #7: cost 230 inf + 8808 320.141 * * [simplify]: Extracting #8: cost 128 inf + 29538 320.157 * * [simplify]: Extracting #9: cost 58 inf + 55116 320.170 * * [simplify]: Extracting #10: cost 29 inf + 73779 320.196 * * [simplify]: Extracting #11: cost 2 inf + 100134 320.231 * * [simplify]: Extracting #12: cost 1 inf + 101879 320.257 * * [simplify]: Extracting #13: cost 0 inf + 103624 320.280 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 320.280 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 320.280 * * * * [progress]: [ 543 / 5906 ] simplifiying candidate # 320.281 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 320.281 * * [simplify]: iters left: 6 (46 enodes) 320.302 * * [simplify]: iters left: 5 (224 enodes) 320.394 * * [simplify]: Extracting #0: cost 1 inf + 0 320.395 * * [simplify]: Extracting #1: cost 3 inf + 0 320.395 * * [simplify]: Extracting #2: cost 10 inf + 0 320.395 * * [simplify]: Extracting #3: cost 59 inf + 0 320.395 * * [simplify]: Extracting #4: cost 104 inf + 44 320.396 * * [simplify]: Extracting #5: cost 131 inf + 862 320.398 * * [simplify]: Extracting #6: cost 212 inf + 2770 320.400 * * [simplify]: Extracting #7: cost 217 inf + 3709 320.406 * * [simplify]: Extracting #8: cost 136 inf + 20095 320.421 * * [simplify]: Extracting #9: cost 59 inf + 47287 320.444 * * [simplify]: Extracting #10: cost 24 inf + 68343 320.475 * * [simplify]: Extracting #11: cost 2 inf + 84812 320.511 * * [simplify]: Extracting #12: cost 0 inf + 87742 320.549 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 320.549 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 320.550 * * * * [progress]: [ 544 / 5906 ] simplifiying candidate # 320.550 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 320.551 * * [simplify]: iters left: 6 (51 enodes) 320.578 * * [simplify]: iters left: 5 (252 enodes) 320.664 * * [simplify]: Extracting #0: cost 1 inf + 0 320.664 * * [simplify]: Extracting #1: cost 3 inf + 0 320.664 * * [simplify]: Extracting #2: cost 10 inf + 0 320.664 * * [simplify]: Extracting #3: cost 63 inf + 0 320.664 * * [simplify]: Extracting #4: cost 118 inf + 42 320.665 * * [simplify]: Extracting #5: cost 161 inf + 248 320.667 * * [simplify]: Extracting #6: cost 245 inf + 1557 320.670 * * [simplify]: Extracting #7: cost 232 inf + 8404 320.678 * * [simplify]: Extracting #8: cost 128 inf + 29641 320.696 * * [simplify]: Extracting #9: cost 58 inf + 54796 320.721 * * [simplify]: Extracting #10: cost 29 inf + 74179 320.758 * * [simplify]: Extracting #11: cost 2 inf + 100534 320.787 * * [simplify]: Extracting #12: cost 1 inf + 102279 320.813 * * [simplify]: Extracting #13: cost 0 inf + 104024 320.855 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 320.855 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 320.856 * * * * [progress]: [ 545 / 5906 ] simplifiying candidate # 320.857 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 320.857 * * [simplify]: iters left: 6 (46 enodes) 320.881 * * [simplify]: iters left: 5 (224 enodes) 320.946 * * [simplify]: Extracting #0: cost 1 inf + 0 320.947 * * [simplify]: Extracting #1: cost 3 inf + 0 320.947 * * [simplify]: Extracting #2: cost 10 inf + 0 320.947 * * [simplify]: Extracting #3: cost 58 inf + 0 320.947 * * [simplify]: Extracting #4: cost 104 inf + 44 320.948 * * [simplify]: Extracting #5: cost 130 inf + 904 320.950 * * [simplify]: Extracting #6: cost 211 inf + 2932 320.952 * * [simplify]: Extracting #7: cost 217 inf + 3709 320.958 * * [simplify]: Extracting #8: cost 137 inf + 20032 320.972 * * [simplify]: Extracting #9: cost 57 inf + 48737 320.986 * * [simplify]: Extracting #10: cost 23 inf + 68715 321.003 * * [simplify]: Extracting #11: cost 2 inf + 85132 321.025 * * [simplify]: Extracting #12: cost 0 inf + 88062 321.044 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 321.044 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 321.046 * * * * [progress]: [ 546 / 5906 ] simplifiying candidate # 321.046 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 321.047 * * [simplify]: iters left: 6 (51 enodes) 321.073 * * [simplify]: iters left: 5 (256 enodes) 321.163 * * [simplify]: Extracting #0: cost 1 inf + 0 321.163 * * [simplify]: Extracting #1: cost 3 inf + 0 321.163 * * [simplify]: Extracting #2: cost 6 inf + 0 321.163 * * [simplify]: Extracting #3: cost 56 inf + 0 321.163 * * [simplify]: Extracting #4: cost 130 inf + 0 321.164 * * [simplify]: Extracting #5: cost 213 inf + 0 321.166 * * [simplify]: Extracting #6: cost 310 inf + 551 321.174 * * [simplify]: Extracting #7: cost 266 inf + 10552 321.187 * * [simplify]: Extracting #8: cost 142 inf + 38755 321.210 * * [simplify]: Extracting #9: cost 59 inf + 70744 321.243 * * [simplify]: Extracting #10: cost 14 inf + 112405 321.269 * * [simplify]: Extracting #11: cost 1 inf + 125617 321.318 * * [simplify]: Extracting #12: cost 0 inf + 127522 321.369 * * [simplify]: Extracting #13: cost 0 inf + 127402 321.417 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 321.417 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 321.418 * * * * [progress]: [ 547 / 5906 ] simplifiying candidate # 321.419 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 321.419 * * [simplify]: iters left: 6 (52 enodes) 321.438 * * [simplify]: iters left: 5 (265 enodes) 321.547 * * [simplify]: Extracting #0: cost 1 inf + 0 321.547 * * [simplify]: Extracting #1: cost 3 inf + 0 321.547 * * [simplify]: Extracting #2: cost 6 inf + 0 321.547 * * [simplify]: Extracting #3: cost 60 inf + 0 321.548 * * [simplify]: Extracting #4: cost 153 inf + 0 321.549 * * [simplify]: Extracting #5: cost 226 inf + 85 321.552 * * [simplify]: Extracting #6: cost 291 inf + 4033 321.555 * * [simplify]: Extracting #7: cost 253 inf + 13135 321.559 * * [simplify]: Extracting #8: cost 169 inf + 28874 321.568 * * [simplify]: Extracting #9: cost 99 inf + 53260 321.583 * * [simplify]: Extracting #10: cost 41 inf + 87097 321.621 * * [simplify]: Extracting #11: cost 5 inf + 124454 321.648 * * [simplify]: Extracting #12: cost 1 inf + 130834 321.694 * * [simplify]: Extracting #13: cost 0 inf + 132939 321.723 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 321.723 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 321.723 * * * * [progress]: [ 548 / 5906 ] simplifiying candidate # 321.724 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 321.724 * * [simplify]: iters left: 6 (52 enodes) 321.740 * * [simplify]: iters left: 5 (265 enodes) 321.812 * * [simplify]: Extracting #0: cost 1 inf + 0 321.812 * * [simplify]: Extracting #1: cost 3 inf + 0 321.812 * * [simplify]: Extracting #2: cost 6 inf + 0 321.812 * * [simplify]: Extracting #3: cost 62 inf + 0 321.813 * * [simplify]: Extracting #4: cost 151 inf + 0 321.814 * * [simplify]: Extracting #5: cost 222 inf + 85 321.820 * * [simplify]: Extracting #6: cost 290 inf + 3387 321.825 * * [simplify]: Extracting #7: cost 261 inf + 10295 321.835 * * [simplify]: Extracting #8: cost 150 inf + 38775 321.854 * * [simplify]: Extracting #9: cost 66 inf + 70692 321.874 * * [simplify]: Extracting #10: cost 16 inf + 116531 321.913 * * [simplify]: Extracting #11: cost 0 inf + 131404 321.962 * * [simplify]: Extracting #12: cost 0 inf + 130531 322.010 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 322.010 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 322.011 * * * * [progress]: [ 549 / 5906 ] simplifiying candidate # 322.011 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 322.011 * * [simplify]: iters left: 6 (46 enodes) 322.025 * * [simplify]: iters left: 5 (229 enodes) 322.121 * * [simplify]: Extracting #0: cost 1 inf + 0 322.121 * * [simplify]: Extracting #1: cost 3 inf + 0 322.122 * * [simplify]: Extracting #2: cost 6 inf + 0 322.122 * * [simplify]: Extracting #3: cost 54 inf + 0 322.122 * * [simplify]: Extracting #4: cost 119 inf + 0 322.123 * * [simplify]: Extracting #5: cost 171 inf + 44 322.125 * * [simplify]: Extracting #6: cost 255 inf + 908 322.127 * * [simplify]: Extracting #7: cost 248 inf + 3182 322.134 * * [simplify]: Extracting #8: cost 158 inf + 20751 322.149 * * [simplify]: Extracting #9: cost 84 inf + 45566 322.181 * * [simplify]: Extracting #10: cost 17 inf + 92107 322.208 * * [simplify]: Extracting #11: cost 0 inf + 106310 322.230 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) 322.230 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 322.231 * * * * [progress]: [ 550 / 5906 ] simplifiying candidate # 322.231 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 322.232 * * [simplify]: iters left: 6 (51 enodes) 322.262 * * [simplify]: iters left: 5 (257 enodes) 322.343 * * [simplify]: Extracting #0: cost 1 inf + 0 322.343 * * [simplify]: Extracting #1: cost 3 inf + 0 322.343 * * [simplify]: Extracting #2: cost 10 inf + 0 322.343 * * [simplify]: Extracting #3: cost 74 inf + 0 322.344 * * [simplify]: Extracting #4: cost 136 inf + 42 322.344 * * [simplify]: Extracting #5: cost 192 inf + 249 322.345 * * [simplify]: Extracting #6: cost 277 inf + 1679 322.347 * * [simplify]: Extracting #7: cost 266 inf + 6485 322.352 * * [simplify]: Extracting #8: cost 177 inf + 21673 322.359 * * [simplify]: Extracting #9: cost 108 inf + 44357 322.379 * * [simplify]: Extracting #10: cost 50 inf + 73791 322.417 * * [simplify]: Extracting #11: cost 5 inf + 111756 322.465 * * [simplify]: Extracting #12: cost 1 inf + 118696 322.511 * * [simplify]: Extracting #13: cost 0 inf + 120721 322.560 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 322.560 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 322.561 * * * * [progress]: [ 551 / 5906 ] simplifiying candidate # 322.561 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 322.561 * * [simplify]: iters left: 6 (46 enodes) 322.574 * * [simplify]: iters left: 5 (229 enodes) 322.638 * * [simplify]: Extracting #0: cost 1 inf + 0 322.638 * * [simplify]: Extracting #1: cost 3 inf + 0 322.638 * * [simplify]: Extracting #2: cost 10 inf + 0 322.639 * * [simplify]: Extracting #3: cost 66 inf + 0 322.639 * * [simplify]: Extracting #4: cost 117 inf + 44 322.640 * * [simplify]: Extracting #5: cost 161 inf + 496 322.642 * * [simplify]: Extracting #6: cost 241 inf + 2770 322.644 * * [simplify]: Extracting #7: cost 242 inf + 4111 322.646 * * [simplify]: Extracting #8: cost 190 inf + 11418 322.651 * * [simplify]: Extracting #9: cost 130 inf + 25470 322.660 * * [simplify]: Extracting #10: cost 60 inf + 54314 322.678 * * [simplify]: Extracting #11: cost 8 inf + 93322 322.715 * * [simplify]: Extracting #12: cost 0 inf + 101360 322.756 * * [simplify]: Extracting #13: cost 0 inf + 101120 322.784 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 322.784 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 322.785 * * * * [progress]: [ 552 / 5906 ] simplifiying candidate # 322.785 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 322.785 * * [simplify]: iters left: 6 (51 enodes) 322.799 * * [simplify]: iters left: 5 (257 enodes) 322.894 * * [simplify]: Extracting #0: cost 1 inf + 0 322.895 * * [simplify]: Extracting #1: cost 3 inf + 0 322.895 * * [simplify]: Extracting #2: cost 10 inf + 0 322.895 * * [simplify]: Extracting #3: cost 74 inf + 0 322.895 * * [simplify]: Extracting #4: cost 136 inf + 42 322.896 * * [simplify]: Extracting #5: cost 193 inf + 207 322.897 * * [simplify]: Extracting #6: cost 278 inf + 1636 322.898 * * [simplify]: Extracting #7: cost 261 inf + 7976 322.902 * * [simplify]: Extracting #8: cost 183 inf + 20461 322.909 * * [simplify]: Extracting #9: cost 107 inf + 45761 322.923 * * [simplify]: Extracting #10: cost 51 inf + 73966 322.948 * * [simplify]: Extracting #11: cost 5 inf + 112716 322.984 * * [simplify]: Extracting #12: cost 1 inf + 119656 323.012 * * [simplify]: Extracting #13: cost 0 inf + 121681 323.051 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 323.051 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 323.052 * * * * [progress]: [ 553 / 5906 ] simplifiying candidate # 323.052 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 323.052 * * [simplify]: iters left: 6 (46 enodes) 323.065 * * [simplify]: iters left: 5 (229 enodes) 323.133 * * [simplify]: Extracting #0: cost 1 inf + 0 323.134 * * [simplify]: Extracting #1: cost 3 inf + 0 323.134 * * [simplify]: Extracting #2: cost 10 inf + 0 323.134 * * [simplify]: Extracting #3: cost 65 inf + 0 323.134 * * [simplify]: Extracting #4: cost 117 inf + 44 323.135 * * [simplify]: Extracting #5: cost 158 inf + 782 323.137 * * [simplify]: Extracting #6: cost 240 inf + 2932 323.139 * * [simplify]: Extracting #7: cost 242 inf + 4111 323.144 * * [simplify]: Extracting #8: cost 190 inf + 11418 323.152 * * [simplify]: Extracting #9: cost 122 inf + 28632 323.162 * * [simplify]: Extracting #10: cost 49 inf + 61221 323.181 * * [simplify]: Extracting #11: cost 7 inf + 94385 323.220 * * [simplify]: Extracting #12: cost 0 inf + 101760 323.247 * * [simplify]: Extracting #13: cost 0 inf + 101520 323.273 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 323.273 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 323.274 * * * * [progress]: [ 554 / 5906 ] simplifiying candidate # 323.274 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 323.275 * * [simplify]: iters left: 6 (52 enodes) 323.289 * * [simplify]: iters left: 5 (254 enodes) 323.392 * * [simplify]: Extracting #0: cost 1 inf + 0 323.392 * * [simplify]: Extracting #1: cost 3 inf + 0 323.392 * * [simplify]: Extracting #2: cost 6 inf + 0 323.392 * * [simplify]: Extracting #3: cost 56 inf + 0 323.393 * * [simplify]: Extracting #4: cost 130 inf + 0 323.393 * * [simplify]: Extracting #5: cost 215 inf + 0 323.394 * * [simplify]: Extracting #6: cost 312 inf + 510 323.395 * * [simplify]: Extracting #7: cost 268 inf + 9927 323.400 * * [simplify]: Extracting #8: cost 148 inf + 36777 323.412 * * [simplify]: Extracting #9: cost 61 inf + 68012 323.450 * * [simplify]: Extracting #10: cost 12 inf + 115528 323.501 * * [simplify]: Extracting #11: cost 1 inf + 127140 323.550 * * [simplify]: Extracting #12: cost 0 inf + 129165 323.600 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 323.600 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 323.600 * * * * [progress]: [ 555 / 5906 ] simplifiying candidate # 323.601 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 323.601 * * [simplify]: iters left: 6 (53 enodes) 323.616 * * [simplify]: iters left: 5 (263 enodes) 323.728 * * [simplify]: Extracting #0: cost 1 inf + 0 323.728 * * [simplify]: Extracting #1: cost 3 inf + 0 323.728 * * [simplify]: Extracting #2: cost 6 inf + 0 323.729 * * [simplify]: Extracting #3: cost 60 inf + 0 323.729 * * [simplify]: Extracting #4: cost 153 inf + 0 323.730 * * [simplify]: Extracting #5: cost 228 inf + 85 323.733 * * [simplify]: Extracting #6: cost 285 inf + 5206 323.739 * * [simplify]: Extracting #7: cost 247 inf + 14249 323.747 * * [simplify]: Extracting #8: cost 176 inf + 27513 323.758 * * [simplify]: Extracting #9: cost 104 inf + 54317 323.773 * * [simplify]: Extracting #10: cost 49 inf + 81037 323.812 * * [simplify]: Extracting #11: cost 13 inf + 120217 323.854 * * [simplify]: Extracting #12: cost 0 inf + 136182 323.889 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 323.889 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 323.890 * * * * [progress]: [ 556 / 5906 ] simplifiying candidate # 323.890 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 323.891 * * [simplify]: iters left: 6 (53 enodes) 323.921 * * [simplify]: iters left: 5 (263 enodes) 324.026 * * [simplify]: Extracting #0: cost 1 inf + 0 324.026 * * [simplify]: Extracting #1: cost 3 inf + 0 324.026 * * [simplify]: Extracting #2: cost 6 inf + 0 324.026 * * [simplify]: Extracting #3: cost 62 inf + 0 324.027 * * [simplify]: Extracting #4: cost 151 inf + 0 324.028 * * [simplify]: Extracting #5: cost 225 inf + 44 324.031 * * [simplify]: Extracting #6: cost 282 inf + 5167 324.036 * * [simplify]: Extracting #7: cost 244 inf + 14097 324.046 * * [simplify]: Extracting #8: cost 155 inf + 34000 324.069 * * [simplify]: Extracting #9: cost 79 inf + 60129 324.087 * * [simplify]: Extracting #10: cost 28 inf + 102511 324.122 * * [simplify]: Extracting #11: cost 2 inf + 128124 324.149 * * [simplify]: Extracting #12: cost 0 inf + 132334 324.188 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 324.188 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 324.189 * * * * [progress]: [ 557 / 5906 ] simplifiying candidate # 324.190 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 324.190 * * [simplify]: iters left: 6 (47 enodes) 324.217 * * [simplify]: iters left: 5 (227 enodes) 324.303 * * [simplify]: Extracting #0: cost 1 inf + 0 324.304 * * [simplify]: Extracting #1: cost 3 inf + 0 324.304 * * [simplify]: Extracting #2: cost 6 inf + 0 324.304 * * [simplify]: Extracting #3: cost 54 inf + 0 324.304 * * [simplify]: Extracting #4: cost 119 inf + 0 324.304 * * [simplify]: Extracting #5: cost 173 inf + 44 324.305 * * [simplify]: Extracting #6: cost 252 inf + 1476 324.307 * * [simplify]: Extracting #7: cost 242 inf + 3671 324.310 * * [simplify]: Extracting #8: cost 148 inf + 23231 324.323 * * [simplify]: Extracting #9: cost 48 inf + 67774 324.354 * * [simplify]: Extracting #10: cost 13 inf + 94702 324.394 * * [simplify]: Extracting #11: cost 1 inf + 106368 324.435 * * [simplify]: Extracting #12: cost 0 inf + 107193 324.476 * * [simplify]: Extracting #13: cost 0 inf + 107073 324.518 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 324.518 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 324.519 * * * * [progress]: [ 558 / 5906 ] simplifiying candidate # 324.519 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 324.520 * * [simplify]: iters left: 6 (52 enodes) 324.550 * * [simplify]: iters left: 5 (255 enodes) 324.635 * * [simplify]: Extracting #0: cost 1 inf + 0 324.635 * * [simplify]: Extracting #1: cost 3 inf + 0 324.635 * * [simplify]: Extracting #2: cost 10 inf + 0 324.636 * * [simplify]: Extracting #3: cost 74 inf + 0 324.636 * * [simplify]: Extracting #4: cost 137 inf + 1 324.637 * * [simplify]: Extracting #5: cost 195 inf + 207 324.639 * * [simplify]: Extracting #6: cost 279 inf + 1557 324.642 * * [simplify]: Extracting #7: cost 258 inf + 6324 324.648 * * [simplify]: Extracting #8: cost 177 inf + 23002 324.662 * * [simplify]: Extracting #9: cost 108 inf + 44479 324.687 * * [simplify]: Extracting #10: cost 47 inf + 75692 324.727 * * [simplify]: Extracting #11: cost 9 inf + 111419 324.775 * * [simplify]: Extracting #12: cost 1 inf + 121019 324.806 * * [simplify]: Extracting #13: cost 0 inf + 123044 324.836 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 324.836 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 324.837 * * * * [progress]: [ 559 / 5906 ] simplifiying candidate # 324.837 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 324.838 * * [simplify]: iters left: 6 (47 enodes) 324.855 * * [simplify]: iters left: 5 (227 enodes) 324.937 * * [simplify]: Extracting #0: cost 1 inf + 0 324.937 * * [simplify]: Extracting #1: cost 3 inf + 0 324.937 * * [simplify]: Extracting #2: cost 10 inf + 0 324.937 * * [simplify]: Extracting #3: cost 66 inf + 0 324.937 * * [simplify]: Extracting #4: cost 117 inf + 44 324.938 * * [simplify]: Extracting #5: cost 158 inf + 1226 324.939 * * [simplify]: Extracting #6: cost 241 inf + 2972 324.940 * * [simplify]: Extracting #7: cost 240 inf + 3789 324.944 * * [simplify]: Extracting #8: cost 140 inf + 30753 324.955 * * [simplify]: Extracting #9: cost 52 inf + 66080 324.987 * * [simplify]: Extracting #10: cost 3 inf + 98528 325.011 * * [simplify]: Extracting #11: cost 1 inf + 101258 325.042 * * [simplify]: Extracting #12: cost 0 inf + 103043 325.065 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 325.065 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 325.065 * * * * [progress]: [ 560 / 5906 ] simplifiying candidate # 325.066 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 325.066 * * [simplify]: iters left: 6 (52 enodes) 325.084 * * [simplify]: iters left: 5 (255 enodes) 325.173 * * [simplify]: Extracting #0: cost 1 inf + 0 325.173 * * [simplify]: Extracting #1: cost 3 inf + 0 325.173 * * [simplify]: Extracting #2: cost 10 inf + 0 325.173 * * [simplify]: Extracting #3: cost 74 inf + 0 325.173 * * [simplify]: Extracting #4: cost 137 inf + 1 325.174 * * [simplify]: Extracting #5: cost 195 inf + 207 325.175 * * [simplify]: Extracting #6: cost 271 inf + 3531 325.177 * * [simplify]: Extracting #7: cost 253 inf + 7583 325.181 * * [simplify]: Extracting #8: cost 177 inf + 22962 325.189 * * [simplify]: Extracting #9: cost 104 inf + 48054 325.212 * * [simplify]: Extracting #10: cost 44 inf + 78984 325.252 * * [simplify]: Extracting #11: cost 10 inf + 111554 325.280 * * [simplify]: Extracting #12: cost 1 inf + 121979 325.321 * * [simplify]: Extracting #13: cost 0 inf + 124004 325.349 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 325.349 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 325.350 * * * * [progress]: [ 561 / 5906 ] simplifiying candidate # 325.351 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 325.352 * * [simplify]: iters left: 6 (47 enodes) 325.369 * * [simplify]: iters left: 5 (227 enodes) 325.429 * * [simplify]: Extracting #0: cost 1 inf + 0 325.429 * * [simplify]: Extracting #1: cost 3 inf + 0 325.429 * * [simplify]: Extracting #2: cost 10 inf + 0 325.429 * * [simplify]: Extracting #3: cost 65 inf + 0 325.429 * * [simplify]: Extracting #4: cost 117 inf + 44 325.430 * * [simplify]: Extracting #5: cost 161 inf + 740 325.431 * * [simplify]: Extracting #6: cost 244 inf + 2406 325.432 * * [simplify]: Extracting #7: cost 242 inf + 3506 325.436 * * [simplify]: Extracting #8: cost 147 inf + 26430 325.446 * * [simplify]: Extracting #9: cost 57 inf + 62758 325.479 * * [simplify]: Extracting #10: cost 3 inf + 99968 325.500 * * [simplify]: Extracting #11: cost 1 inf + 101898 325.531 * * [simplify]: Extracting #12: cost 0 inf + 103683 325.552 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 325.552 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 325.553 * * * * [progress]: [ 562 / 5906 ] simplifiying candidate # 325.553 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 325.553 * * [simplify]: iters left: 6 (52 enodes) 325.571 * * [simplify]: iters left: 5 (254 enodes) 325.654 * * [simplify]: Extracting #0: cost 1 inf + 0 325.654 * * [simplify]: Extracting #1: cost 3 inf + 0 325.654 * * [simplify]: Extracting #2: cost 6 inf + 0 325.654 * * [simplify]: Extracting #3: cost 56 inf + 0 325.654 * * [simplify]: Extracting #4: cost 130 inf + 0 325.655 * * [simplify]: Extracting #5: cost 210 inf + 0 325.656 * * [simplify]: Extracting #6: cost 301 inf + 882 325.658 * * [simplify]: Extracting #7: cost 250 inf + 11495 325.662 * * [simplify]: Extracting #8: cost 160 inf + 32688 325.671 * * [simplify]: Extracting #9: cost 103 inf + 52357 325.692 * * [simplify]: Extracting #10: cost 14 inf + 116960 325.726 * * [simplify]: Extracting #11: cost 1 inf + 130485 325.769 * * [simplify]: Extracting #12: cost 0 inf + 132590 325.806 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) 325.806 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 325.807 * * * * [progress]: [ 563 / 5906 ] simplifiying candidate # 325.807 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 325.808 * * [simplify]: iters left: 6 (53 enodes) 325.823 * * [simplify]: iters left: 5 (263 enodes) 325.922 * * [simplify]: Extracting #0: cost 1 inf + 0 325.922 * * [simplify]: Extracting #1: cost 3 inf + 0 325.922 * * [simplify]: Extracting #2: cost 6 inf + 0 325.922 * * [simplify]: Extracting #3: cost 60 inf + 0 325.923 * * [simplify]: Extracting #4: cost 153 inf + 0 325.923 * * [simplify]: Extracting #5: cost 223 inf + 85 325.925 * * [simplify]: Extracting #6: cost 274 inf + 6018 325.928 * * [simplify]: Extracting #7: cost 238 inf + 15028 325.935 * * [simplify]: Extracting #8: cost 163 inf + 31393 325.945 * * [simplify]: Extracting #9: cost 108 inf + 50088 325.970 * * [simplify]: Extracting #10: cost 54 inf + 77941 325.996 * * [simplify]: Extracting #11: cost 12 inf + 120947 326.031 * * [simplify]: Extracting #12: cost 0 inf + 135407 326.063 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 326.063 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 326.065 * * * * [progress]: [ 564 / 5906 ] simplifiying candidate # 326.066 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 326.066 * * [simplify]: iters left: 6 (53 enodes) 326.093 * * [simplify]: iters left: 5 (263 enodes) 326.178 * * [simplify]: Extracting #0: cost 1 inf + 0 326.179 * * [simplify]: Extracting #1: cost 3 inf + 0 326.179 * * [simplify]: Extracting #2: cost 6 inf + 0 326.179 * * [simplify]: Extracting #3: cost 62 inf + 0 326.179 * * [simplify]: Extracting #4: cost 151 inf + 0 326.180 * * [simplify]: Extracting #5: cost 220 inf + 44 326.182 * * [simplify]: Extracting #6: cost 279 inf + 3882 326.187 * * [simplify]: Extracting #7: cost 238 inf + 14275 326.196 * * [simplify]: Extracting #8: cost 130 inf + 46775 326.212 * * [simplify]: Extracting #9: cost 49 inf + 79658 326.237 * * [simplify]: Extracting #10: cost 16 inf + 111279 326.281 * * [simplify]: Extracting #11: cost 0 inf + 130439 326.316 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 326.316 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 326.317 * * * * [progress]: [ 565 / 5906 ] simplifiying candidate # 326.317 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 326.318 * * [simplify]: iters left: 6 (47 enodes) 326.341 * * [simplify]: iters left: 5 (227 enodes) 326.425 * * [simplify]: Extracting #0: cost 1 inf + 0 326.425 * * [simplify]: Extracting #1: cost 3 inf + 0 326.425 * * [simplify]: Extracting #2: cost 6 inf + 0 326.426 * * [simplify]: Extracting #3: cost 54 inf + 0 326.426 * * [simplify]: Extracting #4: cost 119 inf + 0 326.427 * * [simplify]: Extracting #5: cost 168 inf + 44 326.428 * * [simplify]: Extracting #6: cost 247 inf + 1277 326.431 * * [simplify]: Extracting #7: cost 225 inf + 5428 326.437 * * [simplify]: Extracting #8: cost 161 inf + 17559 326.450 * * [simplify]: Extracting #9: cost 109 inf + 38751 326.470 * * [simplify]: Extracting #10: cost 49 inf + 63000 326.502 * * [simplify]: Extracting #11: cost 12 inf + 91678 326.523 * * [simplify]: Extracting #12: cost 1 inf + 104513 326.561 * * [simplify]: Extracting #13: cost 0 inf + 106378 326.603 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 326.603 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 326.604 * * * * [progress]: [ 566 / 5906 ] simplifiying candidate # 326.604 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 326.605 * * [simplify]: iters left: 6 (52 enodes) 326.632 * * [simplify]: iters left: 5 (255 enodes) 326.723 * * [simplify]: Extracting #0: cost 1 inf + 0 326.723 * * [simplify]: Extracting #1: cost 3 inf + 0 326.723 * * [simplify]: Extracting #2: cost 10 inf + 0 326.723 * * [simplify]: Extracting #3: cost 74 inf + 0 326.724 * * [simplify]: Extracting #4: cost 137 inf + 1 326.724 * * [simplify]: Extracting #5: cost 190 inf + 207 326.725 * * [simplify]: Extracting #6: cost 267 inf + 2211 326.727 * * [simplify]: Extracting #7: cost 235 inf + 9796 326.733 * * [simplify]: Extracting #8: cost 170 inf + 24284 326.747 * * [simplify]: Extracting #9: cost 111 inf + 44231 326.773 * * [simplify]: Extracting #10: cost 45 inf + 75706 326.794 * * [simplify]: Extracting #11: cost 11 inf + 108354 326.819 * * [simplify]: Extracting #12: cost 1 inf + 119844 326.856 * * [simplify]: Extracting #13: cost 0 inf + 121869 326.905 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) 326.905 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 326.906 * * * * [progress]: [ 567 / 5906 ] simplifiying candidate # 326.906 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 326.907 * * [simplify]: iters left: 6 (47 enodes) 326.927 * * [simplify]: iters left: 5 (227 enodes) 326.978 * * [simplify]: Extracting #0: cost 1 inf + 0 326.978 * * [simplify]: Extracting #1: cost 3 inf + 0 326.978 * * [simplify]: Extracting #2: cost 10 inf + 0 326.978 * * [simplify]: Extracting #3: cost 66 inf + 0 326.978 * * [simplify]: Extracting #4: cost 117 inf + 44 326.979 * * [simplify]: Extracting #5: cost 152 inf + 1348 326.980 * * [simplify]: Extracting #6: cost 234 inf + 3016 326.982 * * [simplify]: Extracting #7: cost 219 inf + 5912 326.990 * * [simplify]: Extracting #8: cost 107 inf + 38367 327.015 * * [simplify]: Extracting #9: cost 47 inf + 64679 327.047 * * [simplify]: Extracting #10: cost 7 inf + 95919 327.068 * * [simplify]: Extracting #11: cost 1 inf + 102003 327.097 * * [simplify]: Extracting #12: cost 0 inf + 103788 327.119 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 327.119 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 327.120 * * * * [progress]: [ 568 / 5906 ] simplifiying candidate # 327.120 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 327.121 * * [simplify]: iters left: 6 (52 enodes) 327.140 * * [simplify]: iters left: 5 (255 enodes) 327.241 * * [simplify]: Extracting #0: cost 1 inf + 0 327.241 * * [simplify]: Extracting #1: cost 3 inf + 0 327.241 * * [simplify]: Extracting #2: cost 10 inf + 0 327.241 * * [simplify]: Extracting #3: cost 74 inf + 0 327.242 * * [simplify]: Extracting #4: cost 137 inf + 1 327.242 * * [simplify]: Extracting #5: cost 190 inf + 207 327.243 * * [simplify]: Extracting #6: cost 262 inf + 3419 327.245 * * [simplify]: Extracting #7: cost 229 inf + 11894 327.249 * * [simplify]: Extracting #8: cost 169 inf + 24376 327.258 * * [simplify]: Extracting #9: cost 116 inf + 41268 327.269 * * [simplify]: Extracting #10: cost 56 inf + 68311 327.297 * * [simplify]: Extracting #11: cost 10 inf + 111339 327.345 * * [simplify]: Extracting #12: cost 1 inf + 120804 327.395 * * [simplify]: Extracting #13: cost 0 inf + 122829 327.433 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) 327.433 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 327.434 * * * * [progress]: [ 569 / 5906 ] simplifiying candidate # 327.434 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 327.434 * * [simplify]: iters left: 6 (47 enodes) 327.447 * * [simplify]: iters left: 5 (227 enodes) 327.524 * * [simplify]: Extracting #0: cost 1 inf + 0 327.524 * * [simplify]: Extracting #1: cost 3 inf + 0 327.524 * * [simplify]: Extracting #2: cost 10 inf + 0 327.524 * * [simplify]: Extracting #3: cost 65 inf + 0 327.524 * * [simplify]: Extracting #4: cost 117 inf + 44 327.525 * * [simplify]: Extracting #5: cost 156 inf + 740 327.526 * * [simplify]: Extracting #6: cost 239 inf + 2286 327.527 * * [simplify]: Extracting #7: cost 226 inf + 5139 327.535 * * [simplify]: Extracting #8: cost 111 inf + 37782 327.551 * * [simplify]: Extracting #9: cost 48 inf + 64867 327.575 * * [simplify]: Extracting #10: cost 7 inf + 97172 327.600 * * [simplify]: Extracting #11: cost 1 inf + 102403 327.639 * * [simplify]: Extracting #12: cost 0 inf + 104188 327.670 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 327.670 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 327.671 * * * * [progress]: [ 570 / 5906 ] simplifiying candidate # 327.671 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 327.671 * * [simplify]: iters left: 6 (52 enodes) 327.688 * * [simplify]: iters left: 5 (255 enodes) 327.767 * * [simplify]: Extracting #0: cost 1 inf + 0 327.767 * * [simplify]: Extracting #1: cost 3 inf + 0 327.767 * * [simplify]: Extracting #2: cost 6 inf + 0 327.768 * * [simplify]: Extracting #3: cost 56 inf + 0 327.768 * * [simplify]: Extracting #4: cost 130 inf + 0 327.768 * * [simplify]: Extracting #5: cost 214 inf + 0 327.769 * * [simplify]: Extracting #6: cost 311 inf + 893 327.771 * * [simplify]: Extracting #7: cost 265 inf + 8475 327.780 * * [simplify]: Extracting #8: cost 135 inf + 43676 327.792 * * [simplify]: Extracting #9: cost 59 inf + 70602 327.813 * * [simplify]: Extracting #10: cost 13 inf + 113680 327.858 * * [simplify]: Extracting #11: cost 1 inf + 127540 327.905 * * [simplify]: Extracting #12: cost 0 inf + 129565 327.955 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 327.955 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 327.956 * * * * [progress]: [ 571 / 5906 ] simplifiying candidate # 327.957 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 327.957 * * [simplify]: iters left: 6 (53 enodes) 327.973 * * [simplify]: iters left: 5 (264 enodes) 328.059 * * [simplify]: Extracting #0: cost 1 inf + 0 328.059 * * [simplify]: Extracting #1: cost 3 inf + 0 328.059 * * [simplify]: Extracting #2: cost 6 inf + 0 328.059 * * [simplify]: Extracting #3: cost 60 inf + 0 328.059 * * [simplify]: Extracting #4: cost 153 inf + 0 328.060 * * [simplify]: Extracting #5: cost 228 inf + 44 328.063 * * [simplify]: Extracting #6: cost 290 inf + 4399 328.068 * * [simplify]: Extracting #7: cost 261 inf + 10989 328.076 * * [simplify]: Extracting #8: cost 184 inf + 25031 328.093 * * [simplify]: Extracting #9: cost 98 inf + 56297 328.119 * * [simplify]: Extracting #10: cost 55 inf + 78329 328.159 * * [simplify]: Extracting #11: cost 13 inf + 119257 328.188 * * [simplify]: Extracting #12: cost 0 inf + 134822 328.239 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 328.239 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 328.240 * * * * [progress]: [ 572 / 5906 ] simplifiying candidate # 328.241 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 328.241 * * [simplify]: iters left: 6 (53 enodes) 328.259 * * [simplify]: iters left: 5 (264 enodes) 328.348 * * [simplify]: Extracting #0: cost 1 inf + 0 328.348 * * [simplify]: Extracting #1: cost 3 inf + 0 328.348 * * [simplify]: Extracting #2: cost 6 inf + 0 328.348 * * [simplify]: Extracting #3: cost 62 inf + 0 328.348 * * [simplify]: Extracting #4: cost 151 inf + 0 328.349 * * [simplify]: Extracting #5: cost 224 inf + 44 328.350 * * [simplify]: Extracting #6: cost 294 inf + 3262 328.353 * * [simplify]: Extracting #7: cost 251 inf + 12383 328.358 * * [simplify]: Extracting #8: cost 178 inf + 25058 328.374 * * [simplify]: Extracting #9: cost 100 inf + 56009 328.400 * * [simplify]: Extracting #10: cost 48 inf + 80374 328.445 * * [simplify]: Extracting #11: cost 12 inf + 116874 328.482 * * [simplify]: Extracting #12: cost 0 inf + 131734 328.516 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 328.516 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 328.517 * * * * [progress]: [ 573 / 5906 ] simplifiying candidate # 328.517 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 328.518 * * [simplify]: iters left: 6 (47 enodes) 328.539 * * [simplify]: iters left: 5 (228 enodes) 328.609 * * [simplify]: Extracting #0: cost 1 inf + 0 328.609 * * [simplify]: Extracting #1: cost 3 inf + 0 328.609 * * [simplify]: Extracting #2: cost 6 inf + 0 328.609 * * [simplify]: Extracting #3: cost 54 inf + 0 328.610 * * [simplify]: Extracting #4: cost 119 inf + 0 328.611 * * [simplify]: Extracting #5: cost 172 inf + 44 328.612 * * [simplify]: Extracting #6: cost 254 inf + 1192 328.615 * * [simplify]: Extracting #7: cost 236 inf + 4163 328.622 * * [simplify]: Extracting #8: cost 161 inf + 18905 328.640 * * [simplify]: Extracting #9: cost 89 inf + 43031 328.671 * * [simplify]: Extracting #10: cost 19 inf + 90915 328.709 * * [simplify]: Extracting #11: cost 1 inf + 105328 328.752 * * [simplify]: Extracting #12: cost 0 inf + 107153 328.778 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 328.778 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 328.778 * * * * [progress]: [ 574 / 5906 ] simplifiying candidate # 328.779 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 328.779 * * [simplify]: iters left: 6 (52 enodes) 328.797 * * [simplify]: iters left: 5 (256 enodes) 328.887 * * [simplify]: Extracting #0: cost 1 inf + 0 328.887 * * [simplify]: Extracting #1: cost 3 inf + 0 328.887 * * [simplify]: Extracting #2: cost 10 inf + 0 328.888 * * [simplify]: Extracting #3: cost 74 inf + 0 328.888 * * [simplify]: Extracting #4: cost 136 inf + 42 328.889 * * [simplify]: Extracting #5: cost 194 inf + 207 328.891 * * [simplify]: Extracting #6: cost 276 inf + 2162 328.894 * * [simplify]: Extracting #7: cost 252 inf + 8117 328.900 * * [simplify]: Extracting #8: cost 179 inf + 22960 328.909 * * [simplify]: Extracting #9: cost 105 inf + 45348 328.923 * * [simplify]: Extracting #10: cost 41 inf + 79341 328.949 * * [simplify]: Extracting #11: cost 2 inf + 119314 328.983 * * [simplify]: Extracting #12: cost 1 inf + 121339 329.029 * * [simplify]: Extracting #13: cost 0 inf + 123364 329.075 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 329.076 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 329.077 * * * * [progress]: [ 575 / 5906 ] simplifiying candidate # 329.077 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 329.078 * * [simplify]: iters left: 6 (47 enodes) 329.103 * * [simplify]: iters left: 5 (228 enodes) 329.197 * * [simplify]: Extracting #0: cost 1 inf + 0 329.197 * * [simplify]: Extracting #1: cost 3 inf + 0 329.197 * * [simplify]: Extracting #2: cost 10 inf + 0 329.197 * * [simplify]: Extracting #3: cost 66 inf + 0 329.198 * * [simplify]: Extracting #4: cost 117 inf + 44 329.199 * * [simplify]: Extracting #5: cost 155 inf + 1510 329.201 * * [simplify]: Extracting #6: cost 241 inf + 2972 329.204 * * [simplify]: Extracting #7: cost 240 inf + 3789 329.211 * * [simplify]: Extracting #8: cost 163 inf + 23801 329.227 * * [simplify]: Extracting #9: cost 93 inf + 48700 329.249 * * [simplify]: Extracting #10: cost 42 inf + 65793 329.279 * * [simplify]: Extracting #11: cost 6 inf + 95333 329.322 * * [simplify]: Extracting #12: cost 1 inf + 101658 329.349 * * [simplify]: Extracting #13: cost 0 inf + 103443 329.374 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 329.374 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 329.375 * * * * [progress]: [ 576 / 5906 ] simplifiying candidate # 329.375 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 329.376 * * [simplify]: iters left: 6 (52 enodes) 329.392 * * [simplify]: iters left: 5 (256 enodes) 329.484 * * [simplify]: Extracting #0: cost 1 inf + 0 329.484 * * [simplify]: Extracting #1: cost 3 inf + 0 329.484 * * [simplify]: Extracting #2: cost 10 inf + 0 329.484 * * [simplify]: Extracting #3: cost 74 inf + 0 329.485 * * [simplify]: Extracting #4: cost 136 inf + 42 329.486 * * [simplify]: Extracting #5: cost 194 inf + 207 329.488 * * [simplify]: Extracting #6: cost 272 inf + 3008 329.492 * * [simplify]: Extracting #7: cost 250 inf + 8600 329.498 * * [simplify]: Extracting #8: cost 179 inf + 23080 329.512 * * [simplify]: Extracting #9: cost 106 inf + 44744 329.537 * * [simplify]: Extracting #10: cost 42 inf + 79316 329.582 * * [simplify]: Extracting #11: cost 2 inf + 120274 329.607 * * [simplify]: Extracting #12: cost 1 inf + 122299 329.645 * * [simplify]: Extracting #13: cost 0 inf + 124324 329.686 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 329.686 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 329.687 * * * * [progress]: [ 577 / 5906 ] simplifiying candidate # 329.687 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 329.688 * * [simplify]: iters left: 6 (47 enodes) 329.702 * * [simplify]: iters left: 5 (228 enodes) 329.757 * * [simplify]: Extracting #0: cost 1 inf + 0 329.758 * * [simplify]: Extracting #1: cost 3 inf + 0 329.758 * * [simplify]: Extracting #2: cost 10 inf + 0 329.758 * * [simplify]: Extracting #3: cost 65 inf + 0 329.758 * * [simplify]: Extracting #4: cost 116 inf + 86 329.759 * * [simplify]: Extracting #5: cost 152 inf + 1796 329.761 * * [simplify]: Extracting #6: cost 241 inf + 2932 329.764 * * [simplify]: Extracting #7: cost 242 inf + 3587 329.770 * * [simplify]: Extracting #8: cost 168 inf + 20421 329.785 * * [simplify]: Extracting #9: cost 93 inf + 47921 329.798 * * [simplify]: Extracting #10: cost 40 inf + 67363 329.815 * * [simplify]: Extracting #11: cost 6 inf + 95733 329.852 * * [simplify]: Extracting #12: cost 1 inf + 102058 329.875 * * [simplify]: Extracting #13: cost 0 inf + 103843 329.902 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 329.902 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 329.903 * * * * [progress]: [ 578 / 5906 ] simplifiying candidate # 329.903 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 329.904 * * [simplify]: iters left: 6 (52 enodes) 329.924 * * [simplify]: iters left: 5 (255 enodes) 329.998 * * [simplify]: Extracting #0: cost 1 inf + 0 329.998 * * [simplify]: Extracting #1: cost 3 inf + 0 329.998 * * [simplify]: Extracting #2: cost 6 inf + 0 329.998 * * [simplify]: Extracting #3: cost 56 inf + 0 329.998 * * [simplify]: Extracting #4: cost 130 inf + 0 329.999 * * [simplify]: Extracting #5: cost 210 inf + 0 330.000 * * [simplify]: Extracting #6: cost 301 inf + 1143 330.001 * * [simplify]: Extracting #7: cost 251 inf + 10479 330.008 * * [simplify]: Extracting #8: cost 132 inf + 44806 330.029 * * [simplify]: Extracting #9: cost 62 inf + 68688 330.067 * * [simplify]: Extracting #10: cost 11 inf + 115915 330.115 * * [simplify]: Extracting #11: cost 1 inf + 128085 330.163 * * [simplify]: Extracting #12: cost 0 inf + 130110 330.196 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) 330.196 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 330.198 * * * * [progress]: [ 579 / 5906 ] simplifiying candidate # 330.198 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 330.199 * * [simplify]: iters left: 6 (53 enodes) 330.216 * * [simplify]: iters left: 5 (264 enodes) 330.304 * * [simplify]: Extracting #0: cost 1 inf + 0 330.304 * * [simplify]: Extracting #1: cost 3 inf + 0 330.305 * * [simplify]: Extracting #2: cost 6 inf + 0 330.305 * * [simplify]: Extracting #3: cost 60 inf + 0 330.305 * * [simplify]: Extracting #4: cost 153 inf + 0 330.305 * * [simplify]: Extracting #5: cost 224 inf + 44 330.307 * * [simplify]: Extracting #6: cost 280 inf + 4689 330.309 * * [simplify]: Extracting #7: cost 247 inf + 12320 330.314 * * [simplify]: Extracting #8: cost 165 inf + 32579 330.331 * * [simplify]: Extracting #9: cost 100 inf + 54874 330.356 * * [simplify]: Extracting #10: cost 54 inf + 77177 330.383 * * [simplify]: Extracting #11: cost 12 inf + 117507 330.409 * * [simplify]: Extracting #12: cost 0 inf + 132767 330.438 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 330.438 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 330.439 * * * * [progress]: [ 580 / 5906 ] simplifiying candidate # 330.439 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 330.439 * * [simplify]: iters left: 6 (53 enodes) 330.454 * * [simplify]: iters left: 5 (264 enodes) 330.570 * * [simplify]: Extracting #0: cost 1 inf + 0 330.570 * * [simplify]: Extracting #1: cost 3 inf + 0 330.570 * * [simplify]: Extracting #2: cost 6 inf + 0 330.571 * * [simplify]: Extracting #3: cost 62 inf + 0 330.571 * * [simplify]: Extracting #4: cost 151 inf + 0 330.572 * * [simplify]: Extracting #5: cost 220 inf + 44 330.575 * * [simplify]: Extracting #6: cost 283 inf + 3314 330.581 * * [simplify]: Extracting #7: cost 243 inf + 13296 330.592 * * [simplify]: Extracting #8: cost 161 inf + 33038 330.611 * * [simplify]: Extracting #9: cost 91 inf + 63139 330.638 * * [simplify]: Extracting #10: cost 47 inf + 81626 330.664 * * [simplify]: Extracting #11: cost 14 inf + 115249 330.705 * * [simplify]: Extracting #12: cost 0 inf + 132839 330.756 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 330.756 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 330.757 * * * * [progress]: [ 581 / 5906 ] simplifiying candidate # 330.758 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 330.758 * * [simplify]: iters left: 6 (47 enodes) 330.783 * * [simplify]: iters left: 5 (228 enodes) 330.864 * * [simplify]: Extracting #0: cost 1 inf + 0 330.864 * * [simplify]: Extracting #1: cost 3 inf + 0 330.864 * * [simplify]: Extracting #2: cost 6 inf + 0 330.864 * * [simplify]: Extracting #3: cost 54 inf + 0 330.864 * * [simplify]: Extracting #4: cost 119 inf + 0 330.865 * * [simplify]: Extracting #5: cost 168 inf + 44 330.865 * * [simplify]: Extracting #6: cost 246 inf + 1318 330.867 * * [simplify]: Extracting #7: cost 226 inf + 5264 330.873 * * [simplify]: Extracting #8: cost 146 inf + 22078 330.890 * * [simplify]: Extracting #9: cost 68 inf + 54045 330.913 * * [simplify]: Extracting #10: cost 7 inf + 98976 330.939 * * [simplify]: Extracting #11: cost 1 inf + 103793 330.987 * * [simplify]: Extracting #12: cost 0 inf + 105298 331.028 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 331.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 331.029 * * * * [progress]: [ 582 / 5906 ] simplifiying candidate # 331.030 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 331.030 * * [simplify]: iters left: 6 (52 enodes) 331.048 * * [simplify]: iters left: 5 (256 enodes) 331.141 * * [simplify]: Extracting #0: cost 1 inf + 0 331.141 * * [simplify]: Extracting #1: cost 3 inf + 0 331.141 * * [simplify]: Extracting #2: cost 10 inf + 0 331.141 * * [simplify]: Extracting #3: cost 74 inf + 0 331.142 * * [simplify]: Extracting #4: cost 136 inf + 42 331.143 * * [simplify]: Extracting #5: cost 190 inf + 207 331.144 * * [simplify]: Extracting #6: cost 265 inf + 2734 331.148 * * [simplify]: Extracting #7: cost 238 inf + 9140 331.156 * * [simplify]: Extracting #8: cost 167 inf + 25152 331.168 * * [simplify]: Extracting #9: cost 106 inf + 44308 331.181 * * [simplify]: Extracting #10: cost 43 inf + 76916 331.209 * * [simplify]: Extracting #11: cost 3 inf + 117394 331.258 * * [simplify]: Extracting #12: cost 1 inf + 120084 331.305 * * [simplify]: Extracting #13: cost 0 inf + 122109 331.330 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 331.330 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 331.331 * * * * [progress]: [ 583 / 5906 ] simplifiying candidate # 331.331 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 331.331 * * [simplify]: iters left: 6 (47 enodes) 331.352 * * [simplify]: iters left: 5 (228 enodes) 331.410 * * [simplify]: Extracting #0: cost 1 inf + 0 331.410 * * [simplify]: Extracting #1: cost 3 inf + 0 331.410 * * [simplify]: Extracting #2: cost 10 inf + 0 331.410 * * [simplify]: Extracting #3: cost 66 inf + 0 331.411 * * [simplify]: Extracting #4: cost 117 inf + 44 331.411 * * [simplify]: Extracting #5: cost 151 inf + 1510 331.412 * * [simplify]: Extracting #6: cost 234 inf + 3016 331.414 * * [simplify]: Extracting #7: cost 223 inf + 5951 331.418 * * [simplify]: Extracting #8: cost 139 inf + 27380 331.426 * * [simplify]: Extracting #9: cost 91 inf + 46725 331.441 * * [simplify]: Extracting #10: cost 40 inf + 65761 331.460 * * [simplify]: Extracting #11: cost 4 inf + 97408 331.483 * * [simplify]: Extracting #12: cost 1 inf + 102003 331.504 * * [simplify]: Extracting #13: cost 0 inf + 103788 331.526 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 331.526 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 331.527 * * * * [progress]: [ 584 / 5906 ] simplifiying candidate # 331.527 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 331.527 * * [simplify]: iters left: 6 (52 enodes) 331.542 * * [simplify]: iters left: 5 (256 enodes) 331.605 * * [simplify]: Extracting #0: cost 1 inf + 0 331.605 * * [simplify]: Extracting #1: cost 3 inf + 0 331.606 * * [simplify]: Extracting #2: cost 10 inf + 0 331.606 * * [simplify]: Extracting #3: cost 74 inf + 0 331.606 * * [simplify]: Extracting #4: cost 136 inf + 42 331.607 * * [simplify]: Extracting #5: cost 190 inf + 207 331.608 * * [simplify]: Extracting #6: cost 261 inf + 3821 331.610 * * [simplify]: Extracting #7: cost 236 inf + 9584 331.615 * * [simplify]: Extracting #8: cost 167 inf + 25152 331.628 * * [simplify]: Extracting #9: cost 107 inf + 43704 331.653 * * [simplify]: Extracting #10: cost 43 inf + 77716 331.698 * * [simplify]: Extracting #11: cost 3 inf + 118354 331.753 * * [simplify]: Extracting #12: cost 1 inf + 121044 331.782 * * [simplify]: Extracting #13: cost 0 inf + 123069 331.822 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 331.822 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 331.823 * * * * [progress]: [ 585 / 5906 ] simplifiying candidate # 331.824 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 331.824 * * [simplify]: iters left: 6 (47 enodes) 331.850 * * [simplify]: iters left: 5 (228 enodes) 331.910 * * [simplify]: Extracting #0: cost 1 inf + 0 331.910 * * [simplify]: Extracting #1: cost 3 inf + 0 331.910 * * [simplify]: Extracting #2: cost 10 inf + 0 331.910 * * [simplify]: Extracting #3: cost 65 inf + 0 331.911 * * [simplify]: Extracting #4: cost 116 inf + 86 331.912 * * [simplify]: Extracting #5: cost 148 inf + 1796 331.914 * * [simplify]: Extracting #6: cost 234 inf + 2976 331.917 * * [simplify]: Extracting #7: cost 226 inf + 5545 331.922 * * [simplify]: Extracting #8: cost 139 inf + 26897 331.931 * * [simplify]: Extracting #9: cost 88 inf + 47997 331.944 * * [simplify]: Extracting #10: cost 41 inf + 65496 331.970 * * [simplify]: Extracting #11: cost 4 inf + 97808 331.993 * * [simplify]: Extracting #12: cost 1 inf + 102403 332.018 * * [simplify]: Extracting #13: cost 0 inf + 104188 332.058 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 332.058 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 332.059 * * * * [progress]: [ 586 / 5906 ] simplifiying candidate # 332.060 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 332.061 * * [simplify]: iters left: 6 (47 enodes) 332.078 * * [simplify]: iters left: 5 (231 enodes) 332.137 * * [simplify]: Extracting #0: cost 1 inf + 0 332.137 * * [simplify]: Extracting #1: cost 3 inf + 0 332.137 * * [simplify]: Extracting #2: cost 6 inf + 0 332.137 * * [simplify]: Extracting #3: cost 52 inf + 0 332.137 * * [simplify]: Extracting #4: cost 118 inf + 0 332.138 * * [simplify]: Extracting #5: cost 189 inf + 0 332.139 * * [simplify]: Extracting #6: cost 270 inf + 1097 332.140 * * [simplify]: Extracting #7: cost 239 inf + 9175 332.144 * * [simplify]: Extracting #8: cost 159 inf + 24485 332.151 * * [simplify]: Extracting #9: cost 90 inf + 44547 332.165 * * [simplify]: Extracting #10: cost 52 inf + 62253 332.194 * * [simplify]: Extracting #11: cost 5 inf + 102416 332.217 * * [simplify]: Extracting #12: cost 0 inf + 108861 332.241 * * [simplify]: Extracting #13: cost 0 inf + 108221 332.276 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 332.276 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 332.277 * * * * [progress]: [ 587 / 5906 ] simplifiying candidate # 332.277 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 332.278 * * [simplify]: iters left: 6 (48 enodes) 332.306 * * [simplify]: iters left: 5 (240 enodes) 332.388 * * [simplify]: Extracting #0: cost 1 inf + 0 332.388 * * [simplify]: Extracting #1: cost 3 inf + 0 332.388 * * [simplify]: Extracting #2: cost 6 inf + 0 332.388 * * [simplify]: Extracting #3: cost 56 inf + 0 332.389 * * [simplify]: Extracting #4: cost 141 inf + 0 332.390 * * [simplify]: Extracting #5: cost 200 inf + 248 332.393 * * [simplify]: Extracting #6: cost 253 inf + 4675 332.398 * * [simplify]: Extracting #7: cost 230 inf + 11240 332.404 * * [simplify]: Extracting #8: cost 183 inf + 18962 332.417 * * [simplify]: Extracting #9: cost 115 inf + 34508 332.437 * * [simplify]: Extracting #10: cost 59 inf + 60630 332.471 * * [simplify]: Extracting #11: cost 9 inf + 101457 332.494 * * [simplify]: Extracting #12: cost 0 inf + 109998 332.535 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) 332.535 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 332.536 * * * * [progress]: [ 588 / 5906 ] simplifiying candidate # 332.537 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 332.537 * * [simplify]: iters left: 6 (48 enodes) 332.560 * * [simplify]: iters left: 5 (240 enodes) 332.635 * * [simplify]: Extracting #0: cost 1 inf + 0 332.635 * * [simplify]: Extracting #1: cost 3 inf + 0 332.636 * * [simplify]: Extracting #2: cost 6 inf + 0 332.636 * * [simplify]: Extracting #3: cost 58 inf + 0 332.636 * * [simplify]: Extracting #4: cost 139 inf + 0 332.637 * * [simplify]: Extracting #5: cost 194 inf + 332 332.640 * * [simplify]: Extracting #6: cost 250 inf + 3754 332.644 * * [simplify]: Extracting #7: cost 226 inf + 11901 332.652 * * [simplify]: Extracting #8: cost 158 inf + 23245 332.660 * * [simplify]: Extracting #9: cost 82 inf + 50309 332.680 * * [simplify]: Extracting #10: cost 14 inf + 95202 332.721 * * [simplify]: Extracting #11: cost 0 inf + 108870 332.764 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) 332.764 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 332.765 * * * * [progress]: [ 589 / 5906 ] simplifiying candidate # 332.766 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 332.766 * * [simplify]: iters left: 6 (42 enodes) 332.788 * * [simplify]: iters left: 5 (204 enodes) 332.863 * * [simplify]: Extracting #0: cost 1 inf + 0 332.863 * * [simplify]: Extracting #1: cost 3 inf + 0 332.863 * * [simplify]: Extracting #2: cost 6 inf + 0 332.863 * * [simplify]: Extracting #3: cost 50 inf + 0 332.863 * * [simplify]: Extracting #4: cost 107 inf + 0 332.864 * * [simplify]: Extracting #5: cost 146 inf + 85 332.864 * * [simplify]: Extracting #6: cost 219 inf + 866 332.866 * * [simplify]: Extracting #7: cost 214 inf + 3264 332.868 * * [simplify]: Extracting #8: cost 148 inf + 16175 332.878 * * [simplify]: Extracting #9: cost 75 inf + 38530 332.900 * * [simplify]: Extracting #10: cost 29 inf + 65229 332.935 * * [simplify]: Extracting #11: cost 1 inf + 86664 332.970 * * [simplify]: Extracting #12: cost 0 inf + 87689 333.009 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 333.009 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 333.010 * * * * [progress]: [ 590 / 5906 ] simplifiying candidate # 333.011 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 333.011 * * [simplify]: iters left: 6 (47 enodes) 333.035 * * [simplify]: iters left: 5 (232 enodes) 333.138 * * [simplify]: Extracting #0: cost 1 inf + 0 333.138 * * [simplify]: Extracting #1: cost 3 inf + 0 333.138 * * [simplify]: Extracting #2: cost 10 inf + 0 333.138 * * [simplify]: Extracting #3: cost 70 inf + 0 333.139 * * [simplify]: Extracting #4: cost 124 inf + 42 333.139 * * [simplify]: Extracting #5: cost 167 inf + 290 333.141 * * [simplify]: Extracting #6: cost 237 inf + 2644 333.145 * * [simplify]: Extracting #7: cost 222 inf + 8424 333.152 * * [simplify]: Extracting #8: cost 130 inf + 27086 333.170 * * [simplify]: Extracting #9: cost 56 inf + 57762 333.198 * * [simplify]: Extracting #10: cost 23 inf + 82805 333.238 * * [simplify]: Extracting #11: cost 3 inf + 98665 333.278 * * [simplify]: Extracting #12: cost 0 inf + 102740 333.322 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 333.322 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 333.323 * * * * [progress]: [ 591 / 5906 ] simplifiying candidate # 333.324 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 333.324 * * [simplify]: iters left: 6 (42 enodes) 333.341 * * [simplify]: iters left: 5 (204 enodes) 333.403 * * [simplify]: Extracting #0: cost 1 inf + 0 333.403 * * [simplify]: Extracting #1: cost 3 inf + 0 333.403 * * [simplify]: Extracting #2: cost 10 inf + 0 333.403 * * [simplify]: Extracting #3: cost 62 inf + 0 333.404 * * [simplify]: Extracting #4: cost 105 inf + 44 333.405 * * [simplify]: Extracting #5: cost 131 inf + 1308 333.407 * * [simplify]: Extracting #6: cost 203 inf + 2932 333.409 * * [simplify]: Extracting #7: cost 212 inf + 3344 333.412 * * [simplify]: Extracting #8: cost 176 inf + 7935 333.420 * * [simplify]: Extracting #9: cost 106 inf + 25133 333.445 * * [simplify]: Extracting #10: cost 27 inf + 63598 333.477 * * [simplify]: Extracting #11: cost 1 inf + 84154 333.508 * * [simplify]: Extracting #12: cost 0 inf + 85699 333.527 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 333.527 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 333.528 * * * * [progress]: [ 592 / 5906 ] simplifiying candidate # 333.528 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 333.528 * * [simplify]: iters left: 6 (47 enodes) 333.542 * * [simplify]: iters left: 5 (232 enodes) 333.616 * * [simplify]: Extracting #0: cost 1 inf + 0 333.616 * * [simplify]: Extracting #1: cost 3 inf + 0 333.616 * * [simplify]: Extracting #2: cost 10 inf + 0 333.616 * * [simplify]: Extracting #3: cost 70 inf + 0 333.617 * * [simplify]: Extracting #4: cost 124 inf + 42 333.618 * * [simplify]: Extracting #5: cost 166 inf + 332 333.620 * * [simplify]: Extracting #6: cost 232 inf + 3494 333.623 * * [simplify]: Extracting #7: cost 218 inf + 9643 333.631 * * [simplify]: Extracting #8: cost 128 inf + 29075 333.641 * * [simplify]: Extracting #9: cost 56 inf + 58082 333.656 * * [simplify]: Extracting #10: cost 23 inf + 83765 333.690 * * [simplify]: Extracting #11: cost 3 inf + 99625 333.730 * * [simplify]: Extracting #12: cost 0 inf + 103700 333.769 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 333.770 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 333.770 * * * * [progress]: [ 593 / 5906 ] simplifiying candidate # 333.771 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 333.771 * * [simplify]: iters left: 6 (42 enodes) 333.791 * * [simplify]: iters left: 5 (204 enodes) 333.843 * * [simplify]: Extracting #0: cost 1 inf + 0 333.843 * * [simplify]: Extracting #1: cost 3 inf + 0 333.843 * * [simplify]: Extracting #2: cost 10 inf + 0 333.844 * * [simplify]: Extracting #3: cost 61 inf + 0 333.844 * * [simplify]: Extracting #4: cost 105 inf + 44 333.845 * * [simplify]: Extracting #5: cost 135 inf + 820 333.847 * * [simplify]: Extracting #6: cost 203 inf + 2932 333.849 * * [simplify]: Extracting #7: cost 211 inf + 3425 333.852 * * [simplify]: Extracting #8: cost 171 inf + 8902 333.859 * * [simplify]: Extracting #9: cost 107 inf + 25091 333.878 * * [simplify]: Extracting #10: cost 28 inf + 63355 333.909 * * [simplify]: Extracting #11: cost 1 inf + 84714 333.928 * * [simplify]: Extracting #12: cost 0 inf + 86259 333.958 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) 333.958 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 333.958 * * * * [progress]: [ 594 / 5906 ] simplifiying candidate # 333.959 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 333.959 * * [simplify]: iters left: 6 (43 enodes) 333.973 * * [simplify]: iters left: 5 (202 enodes) 334.025 * * [simplify]: Extracting #0: cost 1 inf + 0 334.025 * * [simplify]: Extracting #1: cost 3 inf + 0 334.025 * * [simplify]: Extracting #2: cost 6 inf + 0 334.025 * * [simplify]: Extracting #3: cost 44 inf + 0 334.026 * * [simplify]: Extracting #4: cost 103 inf + 0 334.027 * * [simplify]: Extracting #5: cost 160 inf + 1 334.028 * * [simplify]: Extracting #6: cost 222 inf + 44 334.029 * * [simplify]: Extracting #7: cost 217 inf + 3404 334.034 * * [simplify]: Extracting #8: cost 134 inf + 17038 334.045 * * [simplify]: Extracting #9: cost 65 inf + 36816 334.069 * * [simplify]: Extracting #10: cost 23 inf + 68316 334.091 * * [simplify]: Extracting #11: cost 1 inf + 82997 334.109 * * [simplify]: Extracting #12: cost 0 inf + 83585 334.127 * * [simplify]: Extracting #13: cost 0 inf + 83454 334.150 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 334.150 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 334.152 * * * * [progress]: [ 595 / 5906 ] simplifiying candidate # 334.152 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 334.153 * * [simplify]: iters left: 6 (44 enodes) 334.177 * * [simplify]: iters left: 5 (211 enodes) 334.249 * * [simplify]: Extracting #0: cost 1 inf + 0 334.249 * * [simplify]: Extracting #1: cost 3 inf + 0 334.249 * * [simplify]: Extracting #2: cost 6 inf + 0 334.249 * * [simplify]: Extracting #3: cost 48 inf + 0 334.250 * * [simplify]: Extracting #4: cost 126 inf + 0 334.251 * * [simplify]: Extracting #5: cost 173 inf + 127 334.252 * * [simplify]: Extracting #6: cost 215 inf + 2336 334.254 * * [simplify]: Extracting #7: cost 182 inf + 10396 334.258 * * [simplify]: Extracting #8: cost 109 inf + 24493 334.266 * * [simplify]: Extracting #9: cost 46 inf + 50871 334.280 * * [simplify]: Extracting #10: cost 6 inf + 85174 334.315 * * [simplify]: Extracting #11: cost 0 inf + 86784 334.346 * * [simplify]: Extracting #12: cost 0 inf + 86391 334.364 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 334.364 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 334.365 * * * * [progress]: [ 596 / 5906 ] simplifiying candidate # 334.365 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 334.365 * * [simplify]: iters left: 6 (44 enodes) 334.378 * * [simplify]: iters left: 5 (211 enodes) 334.436 * * [simplify]: Extracting #0: cost 1 inf + 0 334.436 * * [simplify]: Extracting #1: cost 3 inf + 0 334.436 * * [simplify]: Extracting #2: cost 6 inf + 0 334.436 * * [simplify]: Extracting #3: cost 50 inf + 0 334.437 * * [simplify]: Extracting #4: cost 124 inf + 0 334.438 * * [simplify]: Extracting #5: cost 169 inf + 127 334.440 * * [simplify]: Extracting #6: cost 205 inf + 3187 334.443 * * [simplify]: Extracting #7: cost 174 inf + 10892 334.447 * * [simplify]: Extracting #8: cost 107 inf + 24731 334.455 * * [simplify]: Extracting #9: cost 48 inf + 47021 334.467 * * [simplify]: Extracting #10: cost 10 inf + 77713 334.492 * * [simplify]: Extracting #11: cost 0 inf + 84100 334.524 * * [simplify]: Extracting #12: cost 0 inf + 83143 334.547 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 334.547 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 334.547 * * * * [progress]: [ 597 / 5906 ] simplifiying candidate # 334.547 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 334.548 * * [simplify]: iters left: 6 (38 enodes) 334.558 * * [simplify]: iters left: 5 (175 enodes) 334.625 * * [simplify]: iters left: 4 (459 enodes) 334.852 * * [simplify]: Extracting #0: cost 1 inf + 0 334.852 * * [simplify]: Extracting #1: cost 3 inf + 0 334.852 * * [simplify]: Extracting #2: cost 16 inf + 0 334.853 * * [simplify]: Extracting #3: cost 131 inf + 0 334.855 * * [simplify]: Extracting #4: cost 344 inf + 86 334.858 * * [simplify]: Extracting #5: cost 415 inf + 6221 334.865 * * [simplify]: Extracting #6: cost 403 inf + 17235 334.876 * * [simplify]: Extracting #7: cost 258 inf + 63137 334.911 * * [simplify]: Extracting #8: cost 79 inf + 144108 334.966 * * [simplify]: Extracting #9: cost 7 inf + 180219 335.010 * * [simplify]: Extracting #10: cost 0 inf + 183676 335.052 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) 335.052 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 335.053 * * * * [progress]: [ 598 / 5906 ] simplifiying candidate # 335.053 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 335.053 * * [simplify]: iters left: 6 (43 enodes) 335.071 * * [simplify]: iters left: 5 (203 enodes) 335.148 * * [simplify]: Extracting #0: cost 1 inf + 0 335.148 * * [simplify]: Extracting #1: cost 3 inf + 0 335.148 * * [simplify]: Extracting #2: cost 10 inf + 0 335.148 * * [simplify]: Extracting #3: cost 58 inf + 0 335.148 * * [simplify]: Extracting #4: cost 107 inf + 1 335.149 * * [simplify]: Extracting #5: cost 137 inf + 249 335.149 * * [simplify]: Extracting #6: cost 185 inf + 1614 335.151 * * [simplify]: Extracting #7: cost 171 inf + 6563 335.154 * * [simplify]: Extracting #8: cost 119 inf + 15103 335.159 * * [simplify]: Extracting #9: cost 69 inf + 33567 335.173 * * [simplify]: Extracting #10: cost 8 inf + 73667 335.205 * * [simplify]: Extracting #11: cost 0 inf + 77080 335.235 * * [simplify]: Extracting #12: cost 0 inf + 76818 335.267 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 335.267 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 335.268 * * * * [progress]: [ 599 / 5906 ] simplifiying candidate # 335.268 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 335.269 * * [simplify]: iters left: 6 (38 enodes) 335.289 * * [simplify]: iters left: 5 (175 enodes) 335.361 * * [simplify]: iters left: 4 (440 enodes) 335.539 * * [simplify]: Extracting #0: cost 1 inf + 0 335.539 * * [simplify]: Extracting #1: cost 3 inf + 0 335.539 * * [simplify]: Extracting #2: cost 13 inf + 0 335.539 * * [simplify]: Extracting #3: cost 90 inf + 0 335.540 * * [simplify]: Extracting #4: cost 271 inf + 86 335.541 * * [simplify]: Extracting #5: cost 398 inf + 2287 335.545 * * [simplify]: Extracting #6: cost 378 inf + 15542 335.553 * * [simplify]: Extracting #7: cost 259 inf + 49903 335.577 * * [simplify]: Extracting #8: cost 79 inf + 123141 335.631 * * [simplify]: Extracting #9: cost 2 inf + 158890 335.669 * * [simplify]: Extracting #10: cost 0 inf + 159767 335.727 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) 335.727 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 335.727 * * * * [progress]: [ 600 / 5906 ] simplifiying candidate # 335.728 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 335.729 * * [simplify]: iters left: 6 (43 enodes) 335.745 * * [simplify]: iters left: 5 (203 enodes) 335.794 * * [simplify]: Extracting #0: cost 1 inf + 0 335.795 * * [simplify]: Extracting #1: cost 3 inf + 0 335.795 * * [simplify]: Extracting #2: cost 10 inf + 0 335.795 * * [simplify]: Extracting #3: cost 58 inf + 0 335.795 * * [simplify]: Extracting #4: cost 107 inf + 1 335.795 * * [simplify]: Extracting #5: cost 137 inf + 380 335.796 * * [simplify]: Extracting #6: cost 183 inf + 2672 335.797 * * [simplify]: Extracting #7: cost 170 inf + 6813 335.800 * * [simplify]: Extracting #8: cost 116 inf + 15296 335.805 * * [simplify]: Extracting #9: cost 66 inf + 36292 335.816 * * [simplify]: Extracting #10: cost 9 inf + 72380 335.834 * * [simplify]: Extracting #11: cost 0 inf + 78011 335.858 * * [simplify]: Extracting #12: cost 0 inf + 77618 335.888 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 335.888 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 335.889 * * * * [progress]: [ 601 / 5906 ] simplifiying candidate # 335.889 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 335.890 * * [simplify]: iters left: 6 (38 enodes) 335.909 * * [simplify]: iters left: 5 (175 enodes) 335.979 * * [simplify]: iters left: 4 (440 enodes) 336.198 * * [simplify]: Extracting #0: cost 1 inf + 0 336.198 * * [simplify]: Extracting #1: cost 3 inf + 0 336.198 * * [simplify]: Extracting #2: cost 13 inf + 0 336.198 * * [simplify]: Extracting #3: cost 87 inf + 0 336.199 * * [simplify]: Extracting #4: cost 278 inf + 44 336.200 * * [simplify]: Extracting #5: cost 409 inf + 1272 336.203 * * [simplify]: Extracting #6: cost 387 inf + 13196 336.212 * * [simplify]: Extracting #7: cost 257 inf + 48967 336.257 * * [simplify]: Extracting #8: cost 82 inf + 121002 336.304 * * [simplify]: Extracting #9: cost 4 inf + 159644 336.364 * * [simplify]: Extracting #10: cost 0 inf + 161217 336.404 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) 336.404 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 336.405 * * * * [progress]: [ 602 / 5906 ] simplifiying candidate # 336.405 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 336.406 * * [simplify]: iters left: 6 (47 enodes) 336.426 * * [simplify]: iters left: 5 (226 enodes) 336.486 * * [simplify]: Extracting #0: cost 1 inf + 0 336.486 * * [simplify]: Extracting #1: cost 3 inf + 0 336.486 * * [simplify]: Extracting #2: cost 6 inf + 0 336.486 * * [simplify]: Extracting #3: cost 48 inf + 0 336.486 * * [simplify]: Extracting #4: cost 116 inf + 0 336.486 * * [simplify]: Extracting #5: cost 172 inf + 0 336.487 * * [simplify]: Extracting #6: cost 242 inf + 169 336.488 * * [simplify]: Extracting #7: cost 215 inf + 5556 336.491 * * [simplify]: Extracting #8: cost 138 inf + 18986 336.497 * * [simplify]: Extracting #9: cost 91 inf + 33238 336.512 * * [simplify]: Extracting #10: cost 56 inf + 48225 336.527 * * [simplify]: Extracting #11: cost 34 inf + 62747 336.548 * * [simplify]: Extracting #12: cost 3 inf + 88842 336.573 * * [simplify]: Extracting #13: cost 1 inf + 91812 336.604 * * [simplify]: Extracting #14: cost 0 inf + 93317 336.626 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 336.626 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 336.627 * * * * [progress]: [ 603 / 5906 ] simplifiying candidate # 336.627 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 336.627 * * [simplify]: iters left: 6 (48 enodes) 336.644 * * [simplify]: iters left: 5 (235 enodes) 336.709 * * [simplify]: Extracting #0: cost 1 inf + 0 336.709 * * [simplify]: Extracting #1: cost 3 inf + 0 336.709 * * [simplify]: Extracting #2: cost 6 inf + 0 336.709 * * [simplify]: Extracting #3: cost 52 inf + 0 336.709 * * [simplify]: Extracting #4: cost 139 inf + 0 336.710 * * [simplify]: Extracting #5: cost 182 inf + 290 336.711 * * [simplify]: Extracting #6: cost 213 inf + 5129 336.713 * * [simplify]: Extracting #7: cost 192 inf + 13001 336.718 * * [simplify]: Extracting #8: cost 129 inf + 24607 336.726 * * [simplify]: Extracting #9: cost 64 inf + 50288 336.749 * * [simplify]: Extracting #10: cost 9 inf + 90432 336.772 * * [simplify]: Extracting #11: cost 0 inf + 95694 336.793 * * [simplify]: Extracting #12: cost 0 inf + 95094 336.817 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 336.818 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 336.819 * * * * [progress]: [ 604 / 5906 ] simplifiying candidate # 336.819 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 336.820 * * [simplify]: iters left: 6 (48 enodes) 336.840 * * [simplify]: iters left: 5 (235 enodes) 336.932 * * [simplify]: Extracting #0: cost 1 inf + 0 336.932 * * [simplify]: Extracting #1: cost 3 inf + 0 336.932 * * [simplify]: Extracting #2: cost 6 inf + 0 336.933 * * [simplify]: Extracting #3: cost 54 inf + 0 336.933 * * [simplify]: Extracting #4: cost 137 inf + 0 336.934 * * [simplify]: Extracting #5: cost 178 inf + 290 336.935 * * [simplify]: Extracting #6: cost 213 inf + 4962 336.938 * * [simplify]: Extracting #7: cost 196 inf + 10974 336.943 * * [simplify]: Extracting #8: cost 130 inf + 24631 336.951 * * [simplify]: Extracting #9: cost 69 inf + 46776 336.963 * * [simplify]: Extracting #10: cost 33 inf + 68205 336.999 * * [simplify]: Extracting #11: cost 1 inf + 93141 337.026 * * [simplify]: Extracting #12: cost 0 inf + 93886 337.046 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) 337.046 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 337.046 * * * * [progress]: [ 605 / 5906 ] simplifiying candidate # 337.047 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 337.047 * * [simplify]: iters left: 6 (42 enodes) 337.059 * * [simplify]: iters left: 5 (199 enodes) 337.109 * * [simplify]: Extracting #0: cost 1 inf + 0 337.109 * * [simplify]: Extracting #1: cost 3 inf + 0 337.109 * * [simplify]: Extracting #2: cost 6 inf + 0 337.109 * * [simplify]: Extracting #3: cost 46 inf + 0 337.109 * * [simplify]: Extracting #4: cost 96 inf + 0 337.110 * * [simplify]: Extracting #5: cost 120 inf + 45 337.110 * * [simplify]: Extracting #6: cost 175 inf + 1112 337.111 * * [simplify]: Extracting #7: cost 164 inf + 5403 337.114 * * [simplify]: Extracting #8: cost 111 inf + 14235 337.119 * * [simplify]: Extracting #9: cost 66 inf + 32652 337.135 * * [simplify]: Extracting #10: cost 12 inf + 67909 337.154 * * [simplify]: Extracting #11: cost 0 inf + 69947 337.169 * * [simplify]: Extracting #12: cost 0 inf + 68688 337.183 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) 337.183 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 337.184 * * * * [progress]: [ 606 / 5906 ] simplifiying candidate # 337.184 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 337.185 * * [simplify]: iters left: 6 (47 enodes) 337.200 * * [simplify]: iters left: 5 (227 enodes) 337.258 * * [simplify]: Extracting #0: cost 1 inf + 0 337.258 * * [simplify]: Extracting #1: cost 3 inf + 0 337.259 * * [simplify]: Extracting #2: cost 10 inf + 0 337.259 * * [simplify]: Extracting #3: cost 66 inf + 0 337.259 * * [simplify]: Extracting #4: cost 118 inf + 42 337.259 * * [simplify]: Extracting #5: cost 144 inf + 291 337.260 * * [simplify]: Extracting #6: cost 197 inf + 2970 337.262 * * [simplify]: Extracting #7: cost 192 inf + 6297 337.264 * * [simplify]: Extracting #8: cost 126 inf + 19372 337.270 * * [simplify]: Extracting #9: cost 82 inf + 31988 337.281 * * [simplify]: Extracting #10: cost 39 inf + 57341 337.311 * * [simplify]: Extracting #11: cost 3 inf + 83130 337.331 * * [simplify]: Extracting #12: cost 1 inf + 85340 337.349 * * [simplify]: Extracting #13: cost 0 inf + 86845 337.376 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 337.376 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 337.377 * * * * [progress]: [ 607 / 5906 ] simplifiying candidate # 337.377 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 337.378 * * [simplify]: iters left: 6 (42 enodes) 337.393 * * [simplify]: iters left: 5 (200 enodes) 337.446 * * [simplify]: Extracting #0: cost 1 inf + 0 337.446 * * [simplify]: Extracting #1: cost 3 inf + 0 337.446 * * [simplify]: Extracting #2: cost 10 inf + 0 337.446 * * [simplify]: Extracting #3: cost 51 inf + 0 337.447 * * [simplify]: Extracting #4: cost 95 inf + 86 337.447 * * [simplify]: Extracting #5: cost 110 inf + 784 337.448 * * [simplify]: Extracting #6: cost 167 inf + 2528 337.449 * * [simplify]: Extracting #7: cost 167 inf + 4265 337.453 * * [simplify]: Extracting #8: cost 83 inf + 31013 337.469 * * [simplify]: Extracting #9: cost 20 inf + 64823 337.483 * * [simplify]: Extracting #10: cost 0 inf + 70885 337.501 * * [simplify]: Extracting #11: cost 0 inf + 67393 337.520 * * [simplify]: Extracting #12: cost 0 inf + 67262 337.534 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 337.534 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 337.534 * * * * [progress]: [ 608 / 5906 ] simplifiying candidate # 337.535 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 337.535 * * [simplify]: iters left: 6 (47 enodes) 337.556 * * [simplify]: iters left: 5 (227 enodes) 337.630 * * [simplify]: Extracting #0: cost 1 inf + 0 337.631 * * [simplify]: Extracting #1: cost 3 inf + 0 337.631 * * [simplify]: Extracting #2: cost 10 inf + 0 337.631 * * [simplify]: Extracting #3: cost 66 inf + 0 337.632 * * [simplify]: Extracting #4: cost 118 inf + 42 337.632 * * [simplify]: Extracting #5: cost 143 inf + 333 337.634 * * [simplify]: Extracting #6: cost 193 inf + 3818 337.637 * * [simplify]: Extracting #7: cost 192 inf + 6297 337.641 * * [simplify]: Extracting #8: cost 121 inf + 20221 337.648 * * [simplify]: Extracting #9: cost 60 inf + 43536 337.659 * * [simplify]: Extracting #10: cost 30 inf + 63655 337.680 * * [simplify]: Extracting #11: cost 4 inf + 82505 337.699 * * [simplify]: Extracting #12: cost 1 inf + 86140 337.725 * * [simplify]: Extracting #13: cost 0 inf + 87645 337.759 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 337.760 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 337.760 * * * * [progress]: [ 609 / 5906 ] simplifiying candidate # 337.761 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 337.761 * * [simplify]: iters left: 6 (42 enodes) 337.773 * * [simplify]: iters left: 5 (200 enodes) 337.822 * * [simplify]: Extracting #0: cost 1 inf + 0 337.822 * * [simplify]: Extracting #1: cost 3 inf + 0 337.822 * * [simplify]: Extracting #2: cost 10 inf + 0 337.822 * * [simplify]: Extracting #3: cost 50 inf + 0 337.822 * * [simplify]: Extracting #4: cost 96 inf + 44 337.823 * * [simplify]: Extracting #5: cost 110 inf + 784 337.824 * * [simplify]: Extracting #6: cost 166 inf + 2609 337.825 * * [simplify]: Extracting #7: cost 167 inf + 4265 337.828 * * [simplify]: Extracting #8: cost 90 inf + 29646 337.838 * * [simplify]: Extracting #9: cost 20 inf + 65114 337.853 * * [simplify]: Extracting #10: cost 0 inf + 71205 337.869 * * [simplify]: Extracting #11: cost 0 inf + 67713 337.883 * * [simplify]: Extracting #12: cost 0 inf + 67582 337.904 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 337.904 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 337.905 * * * * [progress]: [ 610 / 5906 ] simplifiying candidate # 337.906 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 337.906 * * [simplify]: iters left: 6 (47 enodes) 337.931 * * [simplify]: iters left: 5 (230 enodes) 338.000 * * [simplify]: Extracting #0: cost 1 inf + 0 338.000 * * [simplify]: Extracting #1: cost 3 inf + 0 338.000 * * [simplify]: Extracting #2: cost 6 inf + 0 338.000 * * [simplify]: Extracting #3: cost 52 inf + 0 338.001 * * [simplify]: Extracting #4: cost 118 inf + 0 338.001 * * [simplify]: Extracting #5: cost 190 inf + 0 338.002 * * [simplify]: Extracting #6: cost 259 inf + 804 338.003 * * [simplify]: Extracting #7: cost 227 inf + 8379 338.006 * * [simplify]: Extracting #8: cost 162 inf + 18170 338.012 * * [simplify]: Extracting #9: cost 96 inf + 37922 338.025 * * [simplify]: Extracting #10: cost 33 inf + 72337 338.044 * * [simplify]: Extracting #11: cost 4 inf + 100216 338.068 * * [simplify]: Extracting #12: cost 0 inf + 106436 338.090 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 338.090 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 338.090 * * * * [progress]: [ 611 / 5906 ] simplifiying candidate # 338.091 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 338.091 * * [simplify]: iters left: 6 (48 enodes) 338.104 * * [simplify]: iters left: 5 (239 enodes) 338.164 * * [simplify]: Extracting #0: cost 1 inf + 0 338.164 * * [simplify]: Extracting #1: cost 3 inf + 0 338.164 * * [simplify]: Extracting #2: cost 6 inf + 0 338.164 * * [simplify]: Extracting #3: cost 56 inf + 0 338.164 * * [simplify]: Extracting #4: cost 141 inf + 0 338.165 * * [simplify]: Extracting #5: cost 202 inf + 127 338.166 * * [simplify]: Extracting #6: cost 242 inf + 4926 338.168 * * [simplify]: Extracting #7: cost 215 inf + 11260 338.176 * * [simplify]: Extracting #8: cost 141 inf + 26771 338.187 * * [simplify]: Extracting #9: cost 78 inf + 48056 338.205 * * [simplify]: Extracting #10: cost 11 inf + 96500 338.227 * * [simplify]: Extracting #11: cost 0 inf + 105693 338.251 * * [simplify]: Extracting #12: cost 0 inf + 105293 338.272 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 338.272 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 338.273 * * * * [progress]: [ 612 / 5906 ] simplifiying candidate # 338.273 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 338.274 * * [simplify]: iters left: 6 (48 enodes) 338.292 * * [simplify]: iters left: 5 (239 enodes) 338.373 * * [simplify]: Extracting #0: cost 1 inf + 0 338.373 * * [simplify]: Extracting #1: cost 3 inf + 0 338.373 * * [simplify]: Extracting #2: cost 6 inf + 0 338.373 * * [simplify]: Extracting #3: cost 58 inf + 0 338.373 * * [simplify]: Extracting #4: cost 139 inf + 0 338.374 * * [simplify]: Extracting #5: cost 196 inf + 210 338.375 * * [simplify]: Extracting #6: cost 233 inf + 5123 338.377 * * [simplify]: Extracting #7: cost 214 inf + 10790 338.382 * * [simplify]: Extracting #8: cost 140 inf + 28047 338.390 * * [simplify]: Extracting #9: cost 72 inf + 51379 338.410 * * [simplify]: Extracting #10: cost 7 inf + 99292 338.436 * * [simplify]: Extracting #11: cost 0 inf + 104805 338.464 * * [simplify]: Extracting #12: cost 0 inf + 104525 338.487 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 338.487 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 338.488 * * * * [progress]: [ 613 / 5906 ] simplifiying candidate # 338.488 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 338.488 * * [simplify]: iters left: 6 (42 enodes) 338.500 * * [simplify]: iters left: 5 (203 enodes) 338.566 * * [simplify]: Extracting #0: cost 1 inf + 0 338.566 * * [simplify]: Extracting #1: cost 3 inf + 0 338.566 * * [simplify]: Extracting #2: cost 6 inf + 0 338.566 * * [simplify]: Extracting #3: cost 50 inf + 0 338.567 * * [simplify]: Extracting #4: cost 107 inf + 0 338.567 * * [simplify]: Extracting #5: cost 147 inf + 85 338.568 * * [simplify]: Extracting #6: cost 204 inf + 1191 338.571 * * [simplify]: Extracting #7: cost 195 inf + 3671 338.573 * * [simplify]: Extracting #8: cost 134 inf + 14629 338.579 * * [simplify]: Extracting #9: cost 78 inf + 30645 338.589 * * [simplify]: Extracting #10: cost 31 inf + 56224 338.617 * * [simplify]: Extracting #11: cost 2 inf + 78734 338.648 * * [simplify]: Extracting #12: cost 1 inf + 80279 338.665 * * [simplify]: Extracting #13: cost 0 inf + 81824 338.682 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 338.682 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 338.683 * * * * [progress]: [ 614 / 5906 ] simplifiying candidate # 338.683 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 338.683 * * [simplify]: iters left: 6 (47 enodes) 338.698 * * [simplify]: iters left: 5 (231 enodes) 338.763 * * [simplify]: Extracting #0: cost 1 inf + 0 338.764 * * [simplify]: Extracting #1: cost 3 inf + 0 338.764 * * [simplify]: Extracting #2: cost 10 inf + 0 338.764 * * [simplify]: Extracting #3: cost 70 inf + 0 338.764 * * [simplify]: Extracting #4: cost 124 inf + 42 338.764 * * [simplify]: Extracting #5: cost 168 inf + 290 338.766 * * [simplify]: Extracting #6: cost 223 inf + 2445 338.767 * * [simplify]: Extracting #7: cost 201 inf + 8577 338.771 * * [simplify]: Extracting #8: cost 123 inf + 22470 338.780 * * [simplify]: Extracting #9: cost 50 inf + 53803 338.797 * * [simplify]: Extracting #10: cost 25 inf + 72850 338.820 * * [simplify]: Extracting #11: cost 0 inf + 96595 338.857 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 338.857 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 338.858 * * * * [progress]: [ 615 / 5906 ] simplifiying candidate # 338.859 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 338.859 * * [simplify]: iters left: 6 (42 enodes) 338.874 * * [simplify]: iters left: 5 (203 enodes) 338.925 * * [simplify]: Extracting #0: cost 1 inf + 0 338.925 * * [simplify]: Extracting #1: cost 3 inf + 0 338.925 * * [simplify]: Extracting #2: cost 10 inf + 0 338.925 * * [simplify]: Extracting #3: cost 62 inf + 0 338.925 * * [simplify]: Extracting #4: cost 104 inf + 86 338.926 * * [simplify]: Extracting #5: cost 127 inf + 1918 338.927 * * [simplify]: Extracting #6: cost 190 inf + 2932 338.928 * * [simplify]: Extracting #7: cost 193 inf + 3790 338.931 * * [simplify]: Extracting #8: cost 121 inf + 17991 338.937 * * [simplify]: Extracting #9: cost 74 inf + 33321 338.949 * * [simplify]: Extracting #10: cost 17 inf + 66164 338.973 * * [simplify]: Extracting #11: cost 1 inf + 78649 338.997 * * [simplify]: Extracting #12: cost 0 inf + 80194 339.016 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 339.017 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 339.017 * * * * [progress]: [ 616 / 5906 ] simplifiying candidate # 339.018 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 339.018 * * [simplify]: iters left: 6 (47 enodes) 339.031 * * [simplify]: iters left: 5 (231 enodes) 339.090 * * [simplify]: Extracting #0: cost 1 inf + 0 339.090 * * [simplify]: Extracting #1: cost 3 inf + 0 339.090 * * [simplify]: Extracting #2: cost 10 inf + 0 339.090 * * [simplify]: Extracting #3: cost 70 inf + 0 339.091 * * [simplify]: Extracting #4: cost 124 inf + 42 339.091 * * [simplify]: Extracting #5: cost 167 inf + 332 339.092 * * [simplify]: Extracting #6: cost 218 inf + 3455 339.094 * * [simplify]: Extracting #7: cost 201 inf + 8577 339.100 * * [simplify]: Extracting #8: cost 138 inf + 17743 339.110 * * [simplify]: Extracting #9: cost 92 inf + 37121 339.130 * * [simplify]: Extracting #10: cost 40 inf + 60515 339.154 * * [simplify]: Extracting #11: cost 25 inf + 73810 339.174 * * [simplify]: Extracting #12: cost 0 inf + 97555 339.200 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 339.200 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 339.201 * * * * [progress]: [ 617 / 5906 ] simplifiying candidate # 339.201 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 339.201 * * [simplify]: iters left: 6 (42 enodes) 339.214 * * [simplify]: iters left: 5 (203 enodes) 339.268 * * [simplify]: Extracting #0: cost 1 inf + 0 339.268 * * [simplify]: Extracting #1: cost 3 inf + 0 339.268 * * [simplify]: Extracting #2: cost 10 inf + 0 339.269 * * [simplify]: Extracting #3: cost 61 inf + 0 339.269 * * [simplify]: Extracting #4: cost 105 inf + 44 339.270 * * [simplify]: Extracting #5: cost 132 inf + 1228 339.272 * * [simplify]: Extracting #6: cost 191 inf + 2770 339.274 * * [simplify]: Extracting #7: cost 193 inf + 3790 339.279 * * [simplify]: Extracting #8: cost 124 inf + 15972 339.290 * * [simplify]: Extracting #9: cost 80 inf + 29491 339.303 * * [simplify]: Extracting #10: cost 27 inf + 57933 339.318 * * [simplify]: Extracting #11: cost 1 inf + 78289 339.341 * * [simplify]: Extracting #12: cost 0 inf + 79794 339.374 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) 339.374 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 339.375 * * * * [progress]: [ 618 / 5906 ] simplifiying candidate # 339.376 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 339.377 * * [simplify]: iters left: 6 (48 enodes) 339.403 * * [simplify]: iters left: 5 (228 enodes) 339.462 * * [simplify]: Extracting #0: cost 1 inf + 0 339.462 * * [simplify]: Extracting #1: cost 3 inf + 0 339.462 * * [simplify]: Extracting #2: cost 6 inf + 0 339.462 * * [simplify]: Extracting #3: cost 52 inf + 0 339.462 * * [simplify]: Extracting #4: cost 118 inf + 0 339.462 * * [simplify]: Extracting #5: cost 190 inf + 0 339.463 * * [simplify]: Extracting #6: cost 255 inf + 2444 339.464 * * [simplify]: Extracting #7: cost 221 inf + 9063 339.468 * * [simplify]: Extracting #8: cost 131 inf + 25768 339.475 * * [simplify]: Extracting #9: cost 74 inf + 44071 339.490 * * [simplify]: Extracting #10: cost 25 inf + 82548 339.515 * * [simplify]: Extracting #11: cost 1 inf + 105492 339.537 * * [simplify]: Extracting #12: cost 0 inf + 106176 339.568 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 339.568 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 339.568 * * * * [progress]: [ 619 / 5906 ] simplifiying candidate # 339.569 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 339.569 * * [simplify]: iters left: 6 (49 enodes) 339.582 * * [simplify]: iters left: 5 (237 enodes) 339.644 * * [simplify]: Extracting #0: cost 1 inf + 0 339.644 * * [simplify]: Extracting #1: cost 3 inf + 0 339.644 * * [simplify]: Extracting #2: cost 6 inf + 0 339.645 * * [simplify]: Extracting #3: cost 56 inf + 0 339.645 * * [simplify]: Extracting #4: cost 141 inf + 0 339.645 * * [simplify]: Extracting #5: cost 201 inf + 249 339.647 * * [simplify]: Extracting #6: cost 234 inf + 5687 339.651 * * [simplify]: Extracting #7: cost 207 inf + 12055 339.655 * * [simplify]: Extracting #8: cost 159 inf + 18098 339.659 * * [simplify]: Extracting #9: cost 113 inf + 32212 339.672 * * [simplify]: Extracting #10: cost 62 inf + 55123 339.690 * * [simplify]: Extracting #11: cost 34 inf + 74444 339.709 * * [simplify]: Extracting #12: cost 3 inf + 106198 339.739 * * [simplify]: Extracting #13: cost 0 inf + 110233 339.772 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 339.772 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 339.772 * * * * [progress]: [ 620 / 5906 ] simplifiying candidate # 339.773 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 339.773 * * [simplify]: iters left: 6 (49 enodes) 339.786 * * [simplify]: iters left: 5 (237 enodes) 339.845 * * [simplify]: Extracting #0: cost 1 inf + 0 339.845 * * [simplify]: Extracting #1: cost 3 inf + 0 339.845 * * [simplify]: Extracting #2: cost 6 inf + 0 339.845 * * [simplify]: Extracting #3: cost 58 inf + 0 339.845 * * [simplify]: Extracting #4: cost 139 inf + 0 339.846 * * [simplify]: Extracting #5: cost 198 inf + 127 339.850 * * [simplify]: Extracting #6: cost 232 inf + 5403 339.852 * * [simplify]: Extracting #7: cost 201 inf + 11946 339.856 * * [simplify]: Extracting #8: cost 155 inf + 19831 339.861 * * [simplify]: Extracting #9: cost 105 inf + 33481 339.870 * * [simplify]: Extracting #10: cost 60 inf + 54208 339.889 * * [simplify]: Extracting #11: cost 7 inf + 100170 339.911 * * [simplify]: Extracting #12: cost 0 inf + 107905 339.944 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 339.944 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 339.945 * * * * [progress]: [ 621 / 5906 ] simplifiying candidate # 339.945 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 339.945 * * [simplify]: iters left: 6 (43 enodes) 339.958 * * [simplify]: iters left: 5 (201 enodes) 340.015 * * [simplify]: Extracting #0: cost 1 inf + 0 340.015 * * [simplify]: Extracting #1: cost 3 inf + 0 340.015 * * [simplify]: Extracting #2: cost 6 inf + 0 340.015 * * [simplify]: Extracting #3: cost 50 inf + 0 340.015 * * [simplify]: Extracting #4: cost 107 inf + 0 340.016 * * [simplify]: Extracting #5: cost 146 inf + 167 340.016 * * [simplify]: Extracting #6: cost 202 inf + 1395 340.017 * * [simplify]: Extracting #7: cost 195 inf + 3305 340.019 * * [simplify]: Extracting #8: cost 150 inf + 8873 340.023 * * [simplify]: Extracting #9: cost 99 inf + 24577 340.031 * * [simplify]: Extracting #10: cost 47 inf + 46508 340.041 * * [simplify]: Extracting #11: cost 25 inf + 60539 340.059 * * [simplify]: Extracting #12: cost 3 inf + 80049 340.092 * * [simplify]: Extracting #13: cost 0 inf + 84764 340.111 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) 340.111 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 340.112 * * * * [progress]: [ 622 / 5906 ] simplifiying candidate # 340.112 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 340.113 * * [simplify]: iters left: 6 (48 enodes) 340.127 * * [simplify]: iters left: 5 (229 enodes) 340.198 * * [simplify]: Extracting #0: cost 1 inf + 0 340.198 * * [simplify]: Extracting #1: cost 3 inf + 0 340.198 * * [simplify]: Extracting #2: cost 10 inf + 0 340.198 * * [simplify]: Extracting #3: cost 70 inf + 0 340.199 * * [simplify]: Extracting #4: cost 124 inf + 42 340.199 * * [simplify]: Extracting #5: cost 170 inf + 207 340.200 * * [simplify]: Extracting #6: cost 223 inf + 2366 340.201 * * [simplify]: Extracting #7: cost 204 inf + 7208 340.205 * * [simplify]: Extracting #8: cost 128 inf + 24387 340.213 * * [simplify]: Extracting #9: cost 61 inf + 49909 340.234 * * [simplify]: Extracting #10: cost 18 inf + 83546 340.266 * * [simplify]: Extracting #11: cost 1 inf + 99070 340.288 * * [simplify]: Extracting #12: cost 0 inf + 100015 340.320 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 340.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 340.321 * * * * [progress]: [ 623 / 5906 ] simplifiying candidate # 340.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 340.321 * * [simplify]: iters left: 6 (43 enodes) 340.333 * * [simplify]: iters left: 5 (201 enodes) 340.384 * * [simplify]: Extracting #0: cost 1 inf + 0 340.384 * * [simplify]: Extracting #1: cost 3 inf + 0 340.384 * * [simplify]: Extracting #2: cost 10 inf + 0 340.384 * * [simplify]: Extracting #3: cost 62 inf + 0 340.385 * * [simplify]: Extracting #4: cost 104 inf + 86 340.385 * * [simplify]: Extracting #5: cost 133 inf + 1147 340.386 * * [simplify]: Extracting #6: cost 193 inf + 2527 340.387 * * [simplify]: Extracting #7: cost 195 inf + 3180 340.392 * * [simplify]: Extracting #8: cost 134 inf + 15924 340.398 * * [simplify]: Extracting #9: cost 74 inf + 35189 340.409 * * [simplify]: Extracting #10: cost 22 inf + 66263 340.426 * * [simplify]: Extracting #11: cost 1 inf + 81651 340.443 * * [simplify]: Extracting #12: cost 0 inf + 82134 340.462 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 340.462 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 340.463 * * * * [progress]: [ 624 / 5906 ] simplifiying candidate # 340.464 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 340.464 * * [simplify]: iters left: 6 (48 enodes) 340.481 * * [simplify]: iters left: 5 (229 enodes) 340.534 * * [simplify]: Extracting #0: cost 1 inf + 0 340.534 * * [simplify]: Extracting #1: cost 3 inf + 0 340.535 * * [simplify]: Extracting #2: cost 10 inf + 0 340.535 * * [simplify]: Extracting #3: cost 70 inf + 0 340.535 * * [simplify]: Extracting #4: cost 124 inf + 42 340.535 * * [simplify]: Extracting #5: cost 169 inf + 249 340.536 * * [simplify]: Extracting #6: cost 227 inf + 1800 340.539 * * [simplify]: Extracting #7: cost 208 inf + 6391 340.546 * * [simplify]: Extracting #8: cost 131 inf + 24133 340.562 * * [simplify]: Extracting #9: cost 63 inf + 49122 340.589 * * [simplify]: Extracting #10: cost 20 inf + 83660 340.617 * * [simplify]: Extracting #11: cost 1 inf + 100110 340.647 * * [simplify]: Extracting #12: cost 0 inf + 101055 340.667 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 340.667 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 340.668 * * * * [progress]: [ 625 / 5906 ] simplifiying candidate # 340.668 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 340.669 * * [simplify]: iters left: 6 (43 enodes) 340.680 * * [simplify]: iters left: 5 (201 enodes) 340.730 * * [simplify]: Extracting #0: cost 1 inf + 0 340.730 * * [simplify]: Extracting #1: cost 3 inf + 0 340.730 * * [simplify]: Extracting #2: cost 10 inf + 0 340.730 * * [simplify]: Extracting #3: cost 61 inf + 0 340.730 * * [simplify]: Extracting #4: cost 105 inf + 44 340.731 * * [simplify]: Extracting #5: cost 134 inf + 984 340.732 * * [simplify]: Extracting #6: cost 190 inf + 2932 340.733 * * [simplify]: Extracting #7: cost 194 inf + 3262 340.735 * * [simplify]: Extracting #8: cost 135 inf + 15842 340.742 * * [simplify]: Extracting #9: cost 72 inf + 35603 340.766 * * [simplify]: Extracting #10: cost 19 inf + 67869 340.784 * * [simplify]: Extracting #11: cost 0 inf + 82534 340.804 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 340.804 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 340.805 * * * * [progress]: [ 626 / 5906 ] simplifiying candidate # 340.806 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 340.806 * * [simplify]: iters left: 6 (48 enodes) 340.825 * * [simplify]: iters left: 5 (227 enodes) 340.883 * * [simplify]: Extracting #0: cost 1 inf + 0 340.883 * * [simplify]: Extracting #1: cost 3 inf + 0 340.883 * * [simplify]: Extracting #2: cost 6 inf + 0 340.883 * * [simplify]: Extracting #3: cost 52 inf + 0 340.883 * * [simplify]: Extracting #4: cost 118 inf + 0 340.884 * * [simplify]: Extracting #5: cost 186 inf + 0 340.884 * * [simplify]: Extracting #6: cost 252 inf + 807 340.886 * * [simplify]: Extracting #7: cost 182 inf + 16608 340.890 * * [simplify]: Extracting #8: cost 135 inf + 23412 340.896 * * [simplify]: Extracting #9: cost 90 inf + 38311 340.912 * * [simplify]: Extracting #10: cost 52 inf + 54802 340.928 * * [simplify]: Extracting #11: cost 31 inf + 70306 340.949 * * [simplify]: Extracting #12: cost 0 inf + 104121 340.985 * * [simplify]: Extracting #13: cost 0 inf + 103841 341.010 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 341.010 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 341.010 * * * * [progress]: [ 627 / 5906 ] simplifiying candidate # 341.011 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 341.011 * * [simplify]: iters left: 6 (49 enodes) 341.028 * * [simplify]: iters left: 5 (236 enodes) 341.092 * * [simplify]: Extracting #0: cost 1 inf + 0 341.092 * * [simplify]: Extracting #1: cost 3 inf + 0 341.092 * * [simplify]: Extracting #2: cost 6 inf + 0 341.092 * * [simplify]: Extracting #3: cost 56 inf + 0 341.092 * * [simplify]: Extracting #4: cost 141 inf + 0 341.093 * * [simplify]: Extracting #5: cost 199 inf + 85 341.094 * * [simplify]: Extracting #6: cost 229 inf + 4886 341.096 * * [simplify]: Extracting #7: cost 187 inf + 13547 341.101 * * [simplify]: Extracting #8: cost 121 inf + 29443 341.113 * * [simplify]: Extracting #9: cost 68 inf + 49381 341.126 * * [simplify]: Extracting #10: cost 33 inf + 72193 341.146 * * [simplify]: Extracting #11: cost 5 inf + 102853 341.178 * * [simplify]: Extracting #12: cost 0 inf + 110018 341.202 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) 341.202 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 341.203 * * * * [progress]: [ 628 / 5906 ] simplifiying candidate # 341.203 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 341.204 * * [simplify]: iters left: 6 (49 enodes) 341.221 * * [simplify]: iters left: 5 (236 enodes) 341.306 * * [simplify]: Extracting #0: cost 1 inf + 0 341.307 * * [simplify]: Extracting #1: cost 3 inf + 0 341.307 * * [simplify]: Extracting #2: cost 6 inf + 0 341.307 * * [simplify]: Extracting #3: cost 58 inf + 0 341.307 * * [simplify]: Extracting #4: cost 139 inf + 0 341.308 * * [simplify]: Extracting #5: cost 194 inf + 166 341.310 * * [simplify]: Extracting #6: cost 222 inf + 5771 341.315 * * [simplify]: Extracting #7: cost 186 inf + 13614 341.323 * * [simplify]: Extracting #8: cost 120 inf + 27746 341.333 * * [simplify]: Extracting #9: cost 61 inf + 52123 341.345 * * [simplify]: Extracting #10: cost 33 inf + 69945 341.366 * * [simplify]: Extracting #11: cost 3 inf + 101375 341.388 * * [simplify]: Extracting #12: cost 0 inf + 105490 341.414 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) 341.414 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 341.415 * * * * [progress]: [ 629 / 5906 ] simplifiying candidate # 341.415 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 341.415 * * [simplify]: iters left: 6 (43 enodes) 341.427 * * [simplify]: iters left: 5 (200 enodes) 341.474 * * [simplify]: Extracting #0: cost 1 inf + 0 341.475 * * [simplify]: Extracting #1: cost 3 inf + 0 341.475 * * [simplify]: Extracting #2: cost 6 inf + 0 341.475 * * [simplify]: Extracting #3: cost 50 inf + 0 341.475 * * [simplify]: Extracting #4: cost 107 inf + 0 341.475 * * [simplify]: Extracting #5: cost 143 inf + 126 341.476 * * [simplify]: Extracting #6: cost 196 inf + 1517 341.477 * * [simplify]: Extracting #7: cost 166 inf + 6646 341.482 * * [simplify]: Extracting #8: cost 104 inf + 25166 341.490 * * [simplify]: Extracting #9: cost 49 inf + 46091 341.509 * * [simplify]: Extracting #10: cost 13 inf + 71343 341.540 * * [simplify]: Extracting #11: cost 0 inf + 82629 341.571 * * [simplify]: Extracting #12: cost 0 inf + 82589 341.608 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 341.608 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 341.609 * * * * [progress]: [ 630 / 5906 ] simplifiying candidate # 341.609 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 341.610 * * [simplify]: iters left: 6 (48 enodes) 341.624 * * [simplify]: iters left: 5 (228 enodes) 341.680 * * [simplify]: Extracting #0: cost 1 inf + 0 341.680 * * [simplify]: Extracting #1: cost 3 inf + 0 341.680 * * [simplify]: Extracting #2: cost 10 inf + 0 341.681 * * [simplify]: Extracting #3: cost 70 inf + 0 341.681 * * [simplify]: Extracting #4: cost 124 inf + 42 341.682 * * [simplify]: Extracting #5: cost 166 inf + 207 341.683 * * [simplify]: Extracting #6: cost 223 inf + 1598 341.689 * * [simplify]: Extracting #7: cost 195 inf + 7622 341.694 * * [simplify]: Extracting #8: cost 121 inf + 23968 341.702 * * [simplify]: Extracting #9: cost 53 inf + 53451 341.720 * * [simplify]: Extracting #10: cost 5 inf + 95075 341.743 * * [simplify]: Extracting #11: cost 0 inf + 100920 341.764 * * [simplify]: Extracting #12: cost 0 inf + 100880 341.785 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 341.785 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 341.785 * * * * [progress]: [ 631 / 5906 ] simplifiying candidate # 341.786 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 341.786 * * [simplify]: iters left: 6 (43 enodes) 341.799 * * [simplify]: iters left: 5 (200 enodes) 341.857 * * [simplify]: Extracting #0: cost 1 inf + 0 341.857 * * [simplify]: Extracting #1: cost 3 inf + 0 341.857 * * [simplify]: Extracting #2: cost 10 inf + 0 341.857 * * [simplify]: Extracting #3: cost 62 inf + 0 341.857 * * [simplify]: Extracting #4: cost 104 inf + 86 341.858 * * [simplify]: Extracting #5: cost 126 inf + 1633 341.860 * * [simplify]: Extracting #6: cost 183 inf + 2976 341.863 * * [simplify]: Extracting #7: cost 175 inf + 5382 341.867 * * [simplify]: Extracting #8: cost 112 inf + 18612 341.874 * * [simplify]: Extracting #9: cost 55 inf + 42820 341.888 * * [simplify]: Extracting #10: cost 8 inf + 72474 341.914 * * [simplify]: Extracting #11: cost 1 inf + 78414 341.943 * * [simplify]: Extracting #12: cost 0 inf + 79959 341.960 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 341.960 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 341.960 * * * * [progress]: [ 632 / 5906 ] simplifiying candidate # 341.961 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 341.961 * * [simplify]: iters left: 6 (48 enodes) 341.976 * * [simplify]: iters left: 5 (228 enodes) 342.038 * * [simplify]: Extracting #0: cost 1 inf + 0 342.038 * * [simplify]: Extracting #1: cost 3 inf + 0 342.038 * * [simplify]: Extracting #2: cost 10 inf + 0 342.038 * * [simplify]: Extracting #3: cost 70 inf + 0 342.039 * * [simplify]: Extracting #4: cost 124 inf + 42 342.040 * * [simplify]: Extracting #5: cost 164 inf + 290 342.041 * * [simplify]: Extracting #6: cost 219 inf + 2245 342.043 * * [simplify]: Extracting #7: cost 177 inf + 12601 342.046 * * [simplify]: Extracting #8: cost 116 inf + 25398 342.055 * * [simplify]: Extracting #9: cost 47 inf + 58355 342.076 * * [simplify]: Extracting #10: cost 5 inf + 95795 342.097 * * [simplify]: Extracting #11: cost 0 inf + 101880 342.128 * * [simplify]: Extracting #12: cost 0 inf + 101840 342.149 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 342.149 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 342.150 * * * * [progress]: [ 633 / 5906 ] simplifiying candidate # 342.151 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 342.151 * * [simplify]: iters left: 6 (43 enodes) 342.171 * * [simplify]: iters left: 5 (200 enodes) 342.220 * * [simplify]: Extracting #0: cost 1 inf + 0 342.221 * * [simplify]: Extracting #1: cost 3 inf + 0 342.221 * * [simplify]: Extracting #2: cost 10 inf + 0 342.221 * * [simplify]: Extracting #3: cost 61 inf + 0 342.221 * * [simplify]: Extracting #4: cost 105 inf + 44 342.221 * * [simplify]: Extracting #5: cost 128 inf + 1268 342.222 * * [simplify]: Extracting #6: cost 183 inf + 2976 342.224 * * [simplify]: Extracting #7: cost 174 inf + 5464 342.227 * * [simplify]: Extracting #8: cost 110 inf + 19825 342.234 * * [simplify]: Extracting #9: cost 56 inf + 42216 342.253 * * [simplify]: Extracting #10: cost 12 inf + 70318 342.285 * * [simplify]: Extracting #11: cost 0 inf + 80399 342.303 * * [simplify]: Extracting #12: cost 0 inf + 80359 342.323 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 342.324 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 342.325 * * * * [progress]: [ 634 / 5906 ] simplifiying candidate # 342.325 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 342.326 * * [simplify]: iters left: 6 (48 enodes) 342.342 * * [simplify]: iters left: 5 (228 enodes) 342.403 * * [simplify]: Extracting #0: cost 1 inf + 0 342.403 * * [simplify]: Extracting #1: cost 3 inf + 0 342.403 * * [simplify]: Extracting #2: cost 6 inf + 0 342.403 * * [simplify]: Extracting #3: cost 52 inf + 0 342.403 * * [simplify]: Extracting #4: cost 118 inf + 0 342.404 * * [simplify]: Extracting #5: cost 190 inf + 0 342.405 * * [simplify]: Extracting #6: cost 255 inf + 2444 342.408 * * [simplify]: Extracting #7: cost 221 inf + 9063 342.414 * * [simplify]: Extracting #8: cost 131 inf + 25757 342.421 * * [simplify]: Extracting #9: cost 73 inf + 44833 342.440 * * [simplify]: Extracting #10: cost 25 inf + 82868 342.464 * * [simplify]: Extracting #11: cost 1 inf + 105812 342.486 * * [simplify]: Extracting #12: cost 0 inf + 106496 342.515 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 342.515 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 342.516 * * * * [progress]: [ 635 / 5906 ] simplifiying candidate # 342.517 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 342.517 * * [simplify]: iters left: 6 (49 enodes) 342.531 * * [simplify]: iters left: 5 (237 enodes) 342.592 * * [simplify]: Extracting #0: cost 1 inf + 0 342.592 * * [simplify]: Extracting #1: cost 3 inf + 0 342.592 * * [simplify]: Extracting #2: cost 6 inf + 0 342.593 * * [simplify]: Extracting #3: cost 56 inf + 0 342.593 * * [simplify]: Extracting #4: cost 141 inf + 0 342.593 * * [simplify]: Extracting #5: cost 201 inf + 249 342.594 * * [simplify]: Extracting #6: cost 240 inf + 3915 342.597 * * [simplify]: Extracting #7: cost 207 inf + 11955 342.600 * * [simplify]: Extracting #8: cost 156 inf + 19236 342.605 * * [simplify]: Extracting #9: cost 113 inf + 32452 342.620 * * [simplify]: Extracting #10: cost 62 inf + 55443 342.646 * * [simplify]: Extracting #11: cost 34 inf + 74604 342.665 * * [simplify]: Extracting #12: cost 3 inf + 105318 342.687 * * [simplify]: Extracting #13: cost 0 inf + 109233 342.709 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 342.709 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 342.710 * * * * [progress]: [ 636 / 5906 ] simplifiying candidate # 342.710 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 342.710 * * [simplify]: iters left: 6 (49 enodes) 342.730 * * [simplify]: iters left: 5 (237 enodes) 342.793 * * [simplify]: Extracting #0: cost 1 inf + 0 342.793 * * [simplify]: Extracting #1: cost 3 inf + 0 342.793 * * [simplify]: Extracting #2: cost 6 inf + 0 342.793 * * [simplify]: Extracting #3: cost 58 inf + 0 342.794 * * [simplify]: Extracting #4: cost 139 inf + 0 342.794 * * [simplify]: Extracting #5: cost 198 inf + 127 342.795 * * [simplify]: Extracting #6: cost 232 inf + 5403 342.798 * * [simplify]: Extracting #7: cost 201 inf + 11946 342.801 * * [simplify]: Extracting #8: cost 155 inf + 19831 342.806 * * [simplify]: Extracting #9: cost 106 inf + 33440 342.821 * * [simplify]: Extracting #10: cost 59 inf + 54913 342.843 * * [simplify]: Extracting #11: cost 7 inf + 99410 342.870 * * [simplify]: Extracting #12: cost 0 inf + 106905 342.893 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 342.893 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 342.893 * * * * [progress]: [ 637 / 5906 ] simplifiying candidate # 342.894 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 342.894 * * [simplify]: iters left: 6 (43 enodes) 342.914 * * [simplify]: iters left: 5 (201 enodes) 342.972 * * [simplify]: Extracting #0: cost 1 inf + 0 342.972 * * [simplify]: Extracting #1: cost 3 inf + 0 342.972 * * [simplify]: Extracting #2: cost 6 inf + 0 342.973 * * [simplify]: Extracting #3: cost 50 inf + 0 342.973 * * [simplify]: Extracting #4: cost 107 inf + 0 342.974 * * [simplify]: Extracting #5: cost 147 inf + 126 342.975 * * [simplify]: Extracting #6: cost 201 inf + 1718 342.978 * * [simplify]: Extracting #7: cost 195 inf + 3305 342.981 * * [simplify]: Extracting #8: cost 150 inf + 8873 342.989 * * [simplify]: Extracting #9: cost 100 inf + 24333 343.004 * * [simplify]: Extracting #10: cost 49 inf + 46018 343.025 * * [simplify]: Extracting #11: cost 25 inf + 60859 343.044 * * [simplify]: Extracting #12: cost 3 inf + 80369 343.062 * * [simplify]: Extracting #13: cost 1 inf + 83499 343.084 * * [simplify]: Extracting #14: cost 0 inf + 85084 343.118 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) 343.118 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 343.119 * * * * [progress]: [ 638 / 5906 ] simplifiying candidate # 343.119 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 343.120 * * [simplify]: iters left: 6 (48 enodes) 343.136 * * [simplify]: iters left: 5 (229 enodes) 343.203 * * [simplify]: Extracting #0: cost 1 inf + 0 343.203 * * [simplify]: Extracting #1: cost 3 inf + 0 343.203 * * [simplify]: Extracting #2: cost 10 inf + 0 343.203 * * [simplify]: Extracting #3: cost 70 inf + 0 343.203 * * [simplify]: Extracting #4: cost 124 inf + 42 343.204 * * [simplify]: Extracting #5: cost 170 inf + 207 343.206 * * [simplify]: Extracting #6: cost 223 inf + 2366 343.209 * * [simplify]: Extracting #7: cost 204 inf + 7208 343.216 * * [simplify]: Extracting #8: cost 129 inf + 24031 343.230 * * [simplify]: Extracting #9: cost 61 inf + 50229 343.245 * * [simplify]: Extracting #10: cost 18 inf + 84466 343.273 * * [simplify]: Extracting #11: cost 1 inf + 100470 343.311 * * [simplify]: Extracting #12: cost 0 inf + 101455 343.333 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 343.333 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 343.333 * * * * [progress]: [ 639 / 5906 ] simplifiying candidate # 343.334 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 343.334 * * [simplify]: iters left: 6 (43 enodes) 343.348 * * [simplify]: iters left: 5 (201 enodes) 343.412 * * [simplify]: Extracting #0: cost 1 inf + 0 343.412 * * [simplify]: Extracting #1: cost 3 inf + 0 343.412 * * [simplify]: Extracting #2: cost 10 inf + 0 343.412 * * [simplify]: Extracting #3: cost 62 inf + 0 343.413 * * [simplify]: Extracting #4: cost 104 inf + 86 343.414 * * [simplify]: Extracting #5: cost 133 inf + 1147 343.416 * * [simplify]: Extracting #6: cost 193 inf + 2527 343.418 * * [simplify]: Extracting #7: cost 195 inf + 3180 343.423 * * [simplify]: Extracting #8: cost 133 inf + 16526 343.435 * * [simplify]: Extracting #9: cost 73 inf + 35631 343.459 * * [simplify]: Extracting #10: cost 22 inf + 65543 343.480 * * [simplify]: Extracting #11: cost 2 inf + 78866 343.505 * * [simplify]: Extracting #12: cost 0 inf + 80854 343.534 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 343.534 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 343.535 * * * * [progress]: [ 640 / 5906 ] simplifiying candidate # 343.535 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 343.536 * * [simplify]: iters left: 6 (48 enodes) 343.549 * * [simplify]: iters left: 5 (229 enodes) 343.626 * * [simplify]: Extracting #0: cost 1 inf + 0 343.626 * * [simplify]: Extracting #1: cost 3 inf + 0 343.626 * * [simplify]: Extracting #2: cost 10 inf + 0 343.626 * * [simplify]: Extracting #3: cost 70 inf + 0 343.627 * * [simplify]: Extracting #4: cost 124 inf + 42 343.627 * * [simplify]: Extracting #5: cost 169 inf + 249 343.628 * * [simplify]: Extracting #6: cost 227 inf + 1800 343.629 * * [simplify]: Extracting #7: cost 208 inf + 6391 343.633 * * [simplify]: Extracting #8: cost 132 inf + 23777 343.640 * * [simplify]: Extracting #9: cost 63 inf + 49442 343.663 * * [simplify]: Extracting #10: cost 20 inf + 84580 343.686 * * [simplify]: Extracting #11: cost 1 inf + 101510 343.709 * * [simplify]: Extracting #12: cost 0 inf + 102495 343.737 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 343.737 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 343.738 * * * * [progress]: [ 641 / 5906 ] simplifiying candidate # 343.738 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 343.739 * * [simplify]: iters left: 6 (43 enodes) 343.751 * * [simplify]: iters left: 5 (201 enodes) 343.804 * * [simplify]: Extracting #0: cost 1 inf + 0 343.805 * * [simplify]: Extracting #1: cost 3 inf + 0 343.805 * * [simplify]: Extracting #2: cost 10 inf + 0 343.805 * * [simplify]: Extracting #3: cost 61 inf + 0 343.805 * * [simplify]: Extracting #4: cost 105 inf + 44 343.805 * * [simplify]: Extracting #5: cost 132 inf + 1308 343.806 * * [simplify]: Extracting #6: cost 190 inf + 2932 343.809 * * [simplify]: Extracting #7: cost 194 inf + 3262 343.812 * * [simplify]: Extracting #8: cost 134 inf + 16587 343.818 * * [simplify]: Extracting #9: cost 71 inf + 35975 343.830 * * [simplify]: Extracting #10: cost 18 inf + 67633 343.850 * * [simplify]: Extracting #11: cost 0 inf + 81254 343.868 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 343.868 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 343.869 * * * * [progress]: [ 642 / 5906 ] simplifiying candidate # 343.869 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 343.869 * * [simplify]: iters left: 6 (48 enodes) 343.886 * * [simplify]: iters left: 5 (228 enodes) 343.942 * * [simplify]: Extracting #0: cost 1 inf + 0 343.942 * * [simplify]: Extracting #1: cost 3 inf + 0 343.942 * * [simplify]: Extracting #2: cost 6 inf + 0 343.942 * * [simplify]: Extracting #3: cost 52 inf + 0 343.942 * * [simplify]: Extracting #4: cost 118 inf + 0 343.942 * * [simplify]: Extracting #5: cost 186 inf + 0 343.943 * * [simplify]: Extracting #6: cost 249 inf + 2276 343.945 * * [simplify]: Extracting #7: cost 202 inf + 11356 343.950 * * [simplify]: Extracting #8: cost 115 inf + 30341 343.963 * * [simplify]: Extracting #9: cost 58 inf + 51790 343.981 * * [simplify]: Extracting #10: cost 11 inf + 93926 344.006 * * [simplify]: Extracting #11: cost 0 inf + 106441 344.029 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 344.029 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 344.029 * * * * [progress]: [ 643 / 5906 ] simplifiying candidate # 344.030 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 344.030 * * [simplify]: iters left: 6 (49 enodes) 344.044 * * [simplify]: iters left: 5 (237 enodes) 344.106 * * [simplify]: Extracting #0: cost 1 inf + 0 344.106 * * [simplify]: Extracting #1: cost 3 inf + 0 344.106 * * [simplify]: Extracting #2: cost 6 inf + 0 344.106 * * [simplify]: Extracting #3: cost 56 inf + 0 344.106 * * [simplify]: Extracting #4: cost 141 inf + 0 344.107 * * [simplify]: Extracting #5: cost 197 inf + 249 344.108 * * [simplify]: Extracting #6: cost 234 inf + 3838 344.110 * * [simplify]: Extracting #7: cost 188 inf + 13695 344.114 * * [simplify]: Extracting #8: cost 136 inf + 23918 344.121 * * [simplify]: Extracting #9: cost 101 inf + 37372 344.135 * * [simplify]: Extracting #10: cost 49 inf + 60894 344.149 * * [simplify]: Extracting #11: cost 34 inf + 70928 344.172 * * [simplify]: Extracting #12: cost 4 inf + 101758 344.201 * * [simplify]: Extracting #13: cost 0 inf + 106738 344.231 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) 344.231 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 344.232 * * * * [progress]: [ 644 / 5906 ] simplifiying candidate # 344.233 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 344.234 * * [simplify]: iters left: 6 (49 enodes) 344.252 * * [simplify]: iters left: 5 (237 enodes) 344.323 * * [simplify]: Extracting #0: cost 1 inf + 0 344.323 * * [simplify]: Extracting #1: cost 3 inf + 0 344.323 * * [simplify]: Extracting #2: cost 6 inf + 0 344.323 * * [simplify]: Extracting #3: cost 58 inf + 0 344.324 * * [simplify]: Extracting #4: cost 139 inf + 0 344.325 * * [simplify]: Extracting #5: cost 194 inf + 127 344.327 * * [simplify]: Extracting #6: cost 228 inf + 4280 344.332 * * [simplify]: Extracting #7: cost 186 inf + 13492 344.339 * * [simplify]: Extracting #8: cost 137 inf + 23134 344.352 * * [simplify]: Extracting #9: cost 89 inf + 41737 344.372 * * [simplify]: Extracting #10: cost 44 inf + 62470 344.389 * * [simplify]: Extracting #11: cost 7 inf + 99075 344.413 * * [simplify]: Extracting #12: cost 0 inf + 106890 344.444 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 344.444 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 344.445 * * * * [progress]: [ 645 / 5906 ] simplifiying candidate # 344.445 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 344.445 * * [simplify]: iters left: 6 (43 enodes) 344.457 * * [simplify]: iters left: 5 (201 enodes) 344.506 * * [simplify]: Extracting #0: cost 1 inf + 0 344.506 * * [simplify]: Extracting #1: cost 3 inf + 0 344.506 * * [simplify]: Extracting #2: cost 6 inf + 0 344.506 * * [simplify]: Extracting #3: cost 50 inf + 0 344.506 * * [simplify]: Extracting #4: cost 107 inf + 0 344.507 * * [simplify]: Extracting #5: cost 143 inf + 126 344.507 * * [simplify]: Extracting #6: cost 194 inf + 1722 344.509 * * [simplify]: Extracting #7: cost 175 inf + 5548 344.511 * * [simplify]: Extracting #8: cost 145 inf + 9610 344.517 * * [simplify]: Extracting #9: cost 94 inf + 27120 344.528 * * [simplify]: Extracting #10: cost 47 inf + 44996 344.538 * * [simplify]: Extracting #11: cost 25 inf + 58644 344.555 * * [simplify]: Extracting #12: cost 3 inf + 78434 344.573 * * [simplify]: Extracting #13: cost 1 inf + 81284 344.591 * * [simplify]: Extracting #14: cost 0 inf + 82829 344.612 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) 344.613 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 344.613 * * * * [progress]: [ 646 / 5906 ] simplifiying candidate # 344.613 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 344.614 * * [simplify]: iters left: 6 (48 enodes) 344.629 * * [simplify]: iters left: 5 (229 enodes) 344.690 * * [simplify]: Extracting #0: cost 1 inf + 0 344.690 * * [simplify]: Extracting #1: cost 3 inf + 0 344.690 * * [simplify]: Extracting #2: cost 10 inf + 0 344.690 * * [simplify]: Extracting #3: cost 70 inf + 0 344.690 * * [simplify]: Extracting #4: cost 124 inf + 42 344.691 * * [simplify]: Extracting #5: cost 166 inf + 207 344.691 * * [simplify]: Extracting #6: cost 218 inf + 2246 344.693 * * [simplify]: Extracting #7: cost 183 inf + 10179 344.696 * * [simplify]: Extracting #8: cost 126 inf + 22954 344.704 * * [simplify]: Extracting #9: cost 54 inf + 51068 344.732 * * [simplify]: Extracting #10: cost 17 inf + 83415 344.751 * * [simplify]: Extracting #11: cost 1 inf + 99655 344.783 * * [simplify]: Extracting #12: cost 0 inf + 100720 344.818 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 344.818 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 344.818 * * * * [progress]: [ 647 / 5906 ] simplifiying candidate # 344.819 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 344.819 * * [simplify]: iters left: 6 (43 enodes) 344.831 * * [simplify]: iters left: 5 (201 enodes) 344.879 * * [simplify]: Extracting #0: cost 1 inf + 0 344.879 * * [simplify]: Extracting #1: cost 3 inf + 0 344.879 * * [simplify]: Extracting #2: cost 10 inf + 0 344.879 * * [simplify]: Extracting #3: cost 62 inf + 0 344.879 * * [simplify]: Extracting #4: cost 104 inf + 86 344.880 * * [simplify]: Extracting #5: cost 129 inf + 1147 344.881 * * [simplify]: Extracting #6: cost 186 inf + 2571 344.882 * * [simplify]: Extracting #7: cost 174 inf + 5503 344.885 * * [simplify]: Extracting #8: cost 108 inf + 20814 344.896 * * [simplify]: Extracting #9: cost 45 inf + 50366 344.920 * * [simplify]: Extracting #10: cost 5 inf + 75069 344.938 * * [simplify]: Extracting #11: cost 1 inf + 78614 344.959 * * [simplify]: Extracting #12: cost 0 inf + 80199 344.987 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 344.987 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 344.987 * * * * [progress]: [ 648 / 5906 ] simplifiying candidate # 344.988 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 344.988 * * [simplify]: iters left: 6 (48 enodes) 345.001 * * [simplify]: iters left: 5 (229 enodes) 345.064 * * [simplify]: Extracting #0: cost 1 inf + 0 345.064 * * [simplify]: Extracting #1: cost 3 inf + 0 345.064 * * [simplify]: Extracting #2: cost 10 inf + 0 345.064 * * [simplify]: Extracting #3: cost 70 inf + 0 345.065 * * [simplify]: Extracting #4: cost 124 inf + 42 345.065 * * [simplify]: Extracting #5: cost 165 inf + 249 345.066 * * [simplify]: Extracting #6: cost 222 inf + 1680 345.067 * * [simplify]: Extracting #7: cost 194 inf + 7622 345.070 * * [simplify]: Extracting #8: cost 129 inf + 21725 345.084 * * [simplify]: Extracting #9: cost 56 inf + 50464 345.106 * * [simplify]: Extracting #10: cost 18 inf + 83811 345.125 * * [simplify]: Extracting #11: cost 1 inf + 100695 345.147 * * [simplify]: Extracting #12: cost 0 inf + 101760 345.168 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 345.168 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 345.169 * * * * [progress]: [ 649 / 5906 ] simplifiying candidate # 345.169 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 345.169 * * [simplify]: iters left: 6 (43 enodes) 345.192 * * [simplify]: iters left: 5 (201 enodes) 345.239 * * [simplify]: Extracting #0: cost 1 inf + 0 345.239 * * [simplify]: Extracting #1: cost 3 inf + 0 345.239 * * [simplify]: Extracting #2: cost 10 inf + 0 345.239 * * [simplify]: Extracting #3: cost 61 inf + 0 345.240 * * [simplify]: Extracting #4: cost 105 inf + 44 345.240 * * [simplify]: Extracting #5: cost 131 inf + 902 345.241 * * [simplify]: Extracting #6: cost 183 inf + 2976 345.242 * * [simplify]: Extracting #7: cost 172 inf + 5667 345.245 * * [simplify]: Extracting #8: cost 109 inf + 20668 345.254 * * [simplify]: Extracting #9: cost 41 inf + 51763 345.273 * * [simplify]: Extracting #10: cost 4 inf + 75952 345.292 * * [simplify]: Extracting #11: cost 0 inf + 80599 345.318 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) 345.318 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 345.319 * * * * [progress]: [ 650 / 5906 ] simplifiying candidate # 345.319 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 345.320 * * [simplify]: iters left: 6 (51 enodes) 345.340 * * [simplify]: iters left: 5 (252 enodes) 345.411 * * [simplify]: Extracting #0: cost 1 inf + 0 345.411 * * [simplify]: Extracting #1: cost 3 inf + 0 345.411 * * [simplify]: Extracting #2: cost 6 inf + 0 345.411 * * [simplify]: Extracting #3: cost 52 inf + 0 345.412 * * [simplify]: Extracting #4: cost 120 inf + 0 345.412 * * [simplify]: Extracting #5: cost 189 inf + 0 345.413 * * [simplify]: Extracting #6: cost 283 inf + 763 345.414 * * [simplify]: Extracting #7: cost 255 inf + 8556 345.419 * * [simplify]: Extracting #8: cost 153 inf + 31675 345.428 * * [simplify]: Extracting #9: cost 75 inf + 55029 345.451 * * [simplify]: Extracting #10: cost 28 inf + 88838 345.476 * * [simplify]: Extracting #11: cost 2 inf + 111104 345.517 * * [simplify]: Extracting #12: cost 1 inf + 112889 345.541 * * [simplify]: Extracting #13: cost 0 inf + 114674 345.574 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 345.574 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 345.575 * * * * [progress]: [ 651 / 5906 ] simplifiying candidate # 345.575 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 345.575 * * [simplify]: iters left: 6 (52 enodes) 345.590 * * [simplify]: iters left: 5 (261 enodes) 345.669 * * [simplify]: Extracting #0: cost 1 inf + 0 345.670 * * [simplify]: Extracting #1: cost 3 inf + 0 345.670 * * [simplify]: Extracting #2: cost 6 inf + 0 345.670 * * [simplify]: Extracting #3: cost 55 inf + 0 345.670 * * [simplify]: Extracting #4: cost 142 inf + 0 345.671 * * [simplify]: Extracting #5: cost 200 inf + 126 345.674 * * [simplify]: Extracting #6: cost 259 inf + 5002 345.679 * * [simplify]: Extracting #7: cost 233 inf + 11582 345.691 * * [simplify]: Extracting #8: cost 124 inf + 41532 345.704 * * [simplify]: Extracting #9: cost 50 inf + 71935 345.735 * * [simplify]: Extracting #10: cost 3 inf + 110532 345.760 * * [simplify]: Extracting #11: cost 0 inf + 114327 345.784 * * [simplify]: Extracting #12: cost 0 inf + 113247 345.808 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 345.808 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 345.809 * * * * [progress]: [ 652 / 5906 ] simplifiying candidate # 345.809 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 345.810 * * [simplify]: iters left: 6 (52 enodes) 345.826 * * [simplify]: iters left: 5 (261 enodes) 345.889 * * [simplify]: Extracting #0: cost 1 inf + 0 345.889 * * [simplify]: Extracting #1: cost 3 inf + 0 345.889 * * [simplify]: Extracting #2: cost 6 inf + 0 345.889 * * [simplify]: Extracting #3: cost 57 inf + 0 345.889 * * [simplify]: Extracting #4: cost 140 inf + 0 345.890 * * [simplify]: Extracting #5: cost 197 inf + 85 345.891 * * [simplify]: Extracting #6: cost 261 inf + 3471 345.893 * * [simplify]: Extracting #7: cost 241 inf + 9799 346.476 * * [simplify]: Extracting #8: cost 150 inf + 29419 346.484 * * [simplify]: Extracting #9: cost 102 inf + 44880 346.498 * * [simplify]: Extracting #10: cost 53 inf + 66981 346.512 * * [simplify]: Extracting #11: cost 30 inf + 81729 346.535 * * [simplify]: Extracting #12: cost 1 inf + 109174 346.558 * * [simplify]: Extracting #13: cost 0 inf + 110959 346.599 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 346.599 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 346.600 * * * * [progress]: [ 653 / 5906 ] simplifiying candidate # 346.600 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 346.601 * * [simplify]: iters left: 6 (46 enodes) 346.614 * * [simplify]: iters left: 5 (225 enodes) 346.692 * * [simplify]: Extracting #0: cost 1 inf + 0 346.692 * * [simplify]: Extracting #1: cost 3 inf + 0 346.692 * * [simplify]: Extracting #2: cost 6 inf + 0 346.692 * * [simplify]: Extracting #3: cost 49 inf + 0 346.692 * * [simplify]: Extracting #4: cost 109 inf + 0 346.692 * * [simplify]: Extracting #5: cost 146 inf + 126 346.693 * * [simplify]: Extracting #6: cost 228 inf + 950 346.694 * * [simplify]: Extracting #7: cost 229 inf + 2656 346.700 * * [simplify]: Extracting #8: cost 154 inf + 16121 346.709 * * [simplify]: Extracting #9: cost 71 inf + 46735 346.730 * * [simplify]: Extracting #10: cost 8 inf + 87654 346.760 * * [simplify]: Extracting #11: cost 0 inf + 90580 346.783 * * [simplify]: Extracting #12: cost 0 inf + 90100 346.803 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (+ phi2 phi1)))) 346.803 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 346.805 * * * * [progress]: [ 654 / 5906 ] simplifiying candidate # 346.805 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 346.806 * * [simplify]: iters left: 6 (51 enodes) 346.829 * * [simplify]: iters left: 5 (253 enodes) 346.892 * * [simplify]: Extracting #0: cost 1 inf + 0 346.892 * * [simplify]: Extracting #1: cost 3 inf + 0 346.892 * * [simplify]: Extracting #2: cost 10 inf + 0 346.892 * * [simplify]: Extracting #3: cost 67 inf + 0 346.893 * * [simplify]: Extracting #4: cost 125 inf + 42 346.893 * * [simplify]: Extracting #5: cost 167 inf + 249 346.894 * * [simplify]: Extracting #6: cost 250 inf + 1759 346.896 * * [simplify]: Extracting #7: cost 241 inf + 7218 346.899 * * [simplify]: Extracting #8: cost 151 inf + 26428 346.912 * * [simplify]: Extracting #9: cost 56 inf + 60306 346.932 * * [simplify]: Extracting #10: cost 6 inf + 99595 346.957 * * [simplify]: Extracting #11: cost 1 inf + 106440 346.988 * * [simplify]: Extracting #12: cost 0 inf + 108225 347.015 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 347.015 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 347.016 * * * * [progress]: [ 655 / 5906 ] simplifiying candidate # 347.016 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 347.016 * * [simplify]: iters left: 6 (46 enodes) 347.031 * * [simplify]: iters left: 5 (225 enodes) 347.090 * * [simplify]: Extracting #0: cost 1 inf + 0 347.090 * * [simplify]: Extracting #1: cost 3 inf + 0 347.090 * * [simplify]: Extracting #2: cost 10 inf + 0 347.091 * * [simplify]: Extracting #3: cost 59 inf + 0 347.091 * * [simplify]: Extracting #4: cost 106 inf + 44 347.092 * * [simplify]: Extracting #5: cost 135 inf + 538 347.093 * * [simplify]: Extracting #6: cost 214 inf + 2770 347.094 * * [simplify]: Extracting #7: cost 221 inf + 3545 347.098 * * [simplify]: Extracting #8: cost 135 inf + 22570 347.107 * * [simplify]: Extracting #9: cost 55 inf + 52430 347.131 * * [simplify]: Extracting #10: cost 2 inf + 85715 347.163 * * [simplify]: Extracting #11: cost 0 inf + 86805 347.181 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) 347.181 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 347.182 * * * * [progress]: [ 656 / 5906 ] simplifiying candidate # 347.182 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 347.182 * * [simplify]: iters left: 6 (51 enodes) 347.200 * * [simplify]: iters left: 5 (253 enodes) 347.271 * * [simplify]: Extracting #0: cost 1 inf + 0 347.271 * * [simplify]: Extracting #1: cost 3 inf + 0 347.271 * * [simplify]: Extracting #2: cost 10 inf + 0 347.272 * * [simplify]: Extracting #3: cost 67 inf + 0 347.272 * * [simplify]: Extracting #4: cost 125 inf + 42 347.272 * * [simplify]: Extracting #5: cost 167 inf + 248 347.273 * * [simplify]: Extracting #6: cost 246 inf + 2406 347.275 * * [simplify]: Extracting #7: cost 238 inf + 7471 347.279 * * [simplify]: Extracting #8: cost 148 inf + 26037 347.289 * * [simplify]: Extracting #9: cost 57 inf + 60222 347.326 * * [simplify]: Extracting #10: cost 6 inf + 100315 347.368 * * [simplify]: Extracting #11: cost 1 inf + 107160 347.396 * * [simplify]: Extracting #12: cost 0 inf + 108945 347.419 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 347.419 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 347.420 * * * * [progress]: [ 657 / 5906 ] simplifiying candidate # 347.420 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 347.420 * * [simplify]: iters left: 6 (46 enodes) 347.433 * * [simplify]: iters left: 5 (225 enodes) 347.489 * * [simplify]: Extracting #0: cost 1 inf + 0 347.489 * * [simplify]: Extracting #1: cost 3 inf + 0 347.489 * * [simplify]: Extracting #2: cost 10 inf + 0 347.489 * * [simplify]: Extracting #3: cost 58 inf + 0 347.489 * * [simplify]: Extracting #4: cost 106 inf + 44 347.491 * * [simplify]: Extracting #5: cost 130 inf + 1188 347.493 * * [simplify]: Extracting #6: cost 213 inf + 2932 347.495 * * [simplify]: Extracting #7: cost 219 inf + 3708 347.501 * * [simplify]: Extracting #8: cost 132 inf + 23119 347.510 * * [simplify]: Extracting #9: cost 52 inf + 53550 347.526 * * [simplify]: Extracting #10: cost 2 inf + 86115 347.545 * * [simplify]: Extracting #11: cost 0 inf + 87205 347.578 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) 347.578 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 347.579 * * * * [progress]: [ 658 / 5906 ] simplifiying candidate # 347.579 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 347.579 * * [simplify]: iters left: 6 (47 enodes) 347.596 * * [simplify]: iters left: 5 (226 enodes) 347.651 * * [simplify]: Extracting #0: cost 1 inf + 0 347.651 * * [simplify]: Extracting #1: cost 3 inf + 0 347.652 * * [simplify]: Extracting #2: cost 6 inf + 0 347.652 * * [simplify]: Extracting #3: cost 52 inf + 0 347.652 * * [simplify]: Extracting #4: cost 119 inf + 0 347.652 * * [simplify]: Extracting #5: cost 173 inf + 1 347.653 * * [simplify]: Extracting #6: cost 241 inf + 413 347.655 * * [simplify]: Extracting #7: cost 205 inf + 9258 347.659 * * [simplify]: Extracting #8: cost 146 inf + 19985 347.672 * * [simplify]: Extracting #9: cost 79 inf + 42660 347.692 * * [simplify]: Extracting #10: cost 12 inf + 86489 347.710 * * [simplify]: Extracting #11: cost 1 inf + 93384 347.732 * * [simplify]: Extracting #12: cost 0 inf + 94496 347.755 * * [simplify]: Extracting #13: cost 0 inf + 94365 347.777 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 347.777 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 347.778 * * * * [progress]: [ 659 / 5906 ] simplifiying candidate # 347.778 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 347.779 * * [simplify]: iters left: 6 (48 enodes) 347.794 * * [simplify]: iters left: 5 (235 enodes) 347.855 * * [simplify]: Extracting #0: cost 1 inf + 0 347.855 * * [simplify]: Extracting #1: cost 3 inf + 0 347.855 * * [simplify]: Extracting #2: cost 6 inf + 0 347.856 * * [simplify]: Extracting #3: cost 56 inf + 0 347.856 * * [simplify]: Extracting #4: cost 142 inf + 0 347.856 * * [simplify]: Extracting #5: cost 182 inf + 413 347.858 * * [simplify]: Extracting #6: cost 219 inf + 4402 347.860 * * [simplify]: Extracting #7: cost 203 inf + 10191 347.864 * * [simplify]: Extracting #8: cost 141 inf + 23544 347.874 * * [simplify]: Extracting #9: cost 73 inf + 49620 347.891 * * [simplify]: Extracting #10: cost 10 inf + 90692 347.911 * * [simplify]: Extracting #11: cost 0 inf + 96302 347.945 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 347.945 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 347.946 * * * * [progress]: [ 660 / 5906 ] simplifiying candidate # 347.946 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 347.947 * * [simplify]: iters left: 6 (48 enodes) 347.960 * * [simplify]: iters left: 5 (235 enodes) 348.029 * * [simplify]: Extracting #0: cost 1 inf + 0 348.029 * * [simplify]: Extracting #1: cost 3 inf + 0 348.029 * * [simplify]: Extracting #2: cost 6 inf + 0 348.029 * * [simplify]: Extracting #3: cost 58 inf + 0 348.030 * * [simplify]: Extracting #4: cost 140 inf + 0 348.030 * * [simplify]: Extracting #5: cost 178 inf + 503 348.031 * * [simplify]: Extracting #6: cost 213 inf + 6141 348.033 * * [simplify]: Extracting #7: cost 202 inf + 10737 348.037 * * [simplify]: Extracting #8: cost 148 inf + 19194 348.042 * * [simplify]: Extracting #9: cost 99 inf + 33701 348.055 * * [simplify]: Extracting #10: cost 21 inf + 85414 348.078 * * [simplify]: Extracting #11: cost 0 inf + 100154 348.098 * * [simplify]: Extracting #12: cost 0 inf + 96320 348.128 * * [simplify]: Extracting #13: cost 0 inf + 95534 348.165 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) 348.165 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 348.167 * * * * [progress]: [ 661 / 5906 ] simplifiying candidate # 348.167 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 348.168 * * [simplify]: iters left: 6 (42 enodes) 348.182 * * [simplify]: iters left: 5 (201 enodes) 348.230 * * [simplify]: Extracting #0: cost 1 inf + 0 348.230 * * [simplify]: Extracting #1: cost 3 inf + 0 348.230 * * [simplify]: Extracting #2: cost 6 inf + 0 348.230 * * [simplify]: Extracting #3: cost 44 inf + 0 348.230 * * [simplify]: Extracting #4: cost 100 inf + 0 348.231 * * [simplify]: Extracting #5: cost 126 inf + 45 348.231 * * [simplify]: Extracting #6: cost 177 inf + 1680 348.232 * * [simplify]: Extracting #7: cost 171 inf + 5020 348.237 * * [simplify]: Extracting #8: cost 96 inf + 25338 348.250 * * [simplify]: Extracting #9: cost 23 inf + 62920 348.268 * * [simplify]: Extracting #10: cost 2 inf + 73143 348.284 * * [simplify]: Extracting #11: cost 0 inf + 71967 348.303 * * [simplify]: Extracting #12: cost 0 inf + 71247 348.320 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 348.321 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 348.322 * * * * [progress]: [ 662 / 5906 ] simplifiying candidate # 348.322 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 348.323 * * [simplify]: iters left: 6 (47 enodes) 348.347 * * [simplify]: iters left: 5 (229 enodes) 348.413 * * [simplify]: Extracting #0: cost 1 inf + 0 348.413 * * [simplify]: Extracting #1: cost 3 inf + 0 348.413 * * [simplify]: Extracting #2: cost 10 inf + 0 348.413 * * [simplify]: Extracting #3: cost 62 inf + 0 348.413 * * [simplify]: Extracting #4: cost 125 inf + 42 348.414 * * [simplify]: Extracting #5: cost 151 inf + 291 348.415 * * [simplify]: Extracting #6: cost 207 inf + 2284 348.416 * * [simplify]: Extracting #7: cost 196 inf + 7004 348.420 * * [simplify]: Extracting #8: cost 125 inf + 23179 348.431 * * [simplify]: Extracting #9: cost 27 inf + 74486 348.449 * * [simplify]: Extracting #10: cost 1 inf + 90707 348.480 * * [simplify]: Extracting #11: cost 0 inf + 90179 348.503 * * [simplify]: Extracting #12: cost 0 inf + 90008 348.523 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 348.523 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 348.524 * * * * [progress]: [ 663 / 5906 ] simplifiying candidate # 348.524 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 348.525 * * [simplify]: iters left: 6 (42 enodes) 348.544 * * [simplify]: iters left: 5 (201 enodes) 348.605 * * [simplify]: Extracting #0: cost 1 inf + 0 348.606 * * [simplify]: Extracting #1: cost 3 inf + 0 348.606 * * [simplify]: Extracting #2: cost 10 inf + 0 348.606 * * [simplify]: Extracting #3: cost 59 inf + 0 348.606 * * [simplify]: Extracting #4: cost 113 inf + 86 348.607 * * [simplify]: Extracting #5: cost 125 inf + 1068 348.609 * * [simplify]: Extracting #6: cost 181 inf + 2933 348.611 * * [simplify]: Extracting #7: cost 184 inf + 4947 348.618 * * [simplify]: Extracting #8: cost 108 inf + 26348 348.641 * * [simplify]: Extracting #9: cost 22 inf + 67730 348.671 * * [simplify]: Extracting #10: cost 2 inf + 77439 348.686 * * [simplify]: Extracting #11: cost 0 inf + 76292 348.707 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 348.708 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 348.708 * * * * [progress]: [ 664 / 5906 ] simplifiying candidate # 348.709 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 348.709 * * [simplify]: iters left: 6 (47 enodes) 348.722 * * [simplify]: iters left: 5 (229 enodes) 348.790 * * [simplify]: Extracting #0: cost 1 inf + 0 348.790 * * [simplify]: Extracting #1: cost 3 inf + 0 348.791 * * [simplify]: Extracting #2: cost 10 inf + 0 348.791 * * [simplify]: Extracting #3: cost 62 inf + 0 348.791 * * [simplify]: Extracting #4: cost 125 inf + 42 348.791 * * [simplify]: Extracting #5: cost 150 inf + 333 348.792 * * [simplify]: Extracting #6: cost 202 inf + 3414 348.794 * * [simplify]: Extracting #7: cost 197 inf + 6752 348.797 * * [simplify]: Extracting #8: cost 123 inf + 24337 348.809 * * [simplify]: Extracting #9: cost 29 inf + 73577 348.828 * * [simplify]: Extracting #10: cost 1 inf + 91747 348.854 * * [simplify]: Extracting #11: cost 0 inf + 91139 348.882 * * [simplify]: Extracting #12: cost 0 inf + 90968 348.906 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 348.907 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 348.908 * * * * [progress]: [ 665 / 5906 ] simplifiying candidate # 348.908 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 348.908 * * [simplify]: iters left: 6 (42 enodes) 348.920 * * [simplify]: iters left: 5 (201 enodes) 348.985 * * [simplify]: Extracting #0: cost 1 inf + 0 348.985 * * [simplify]: Extracting #1: cost 3 inf + 0 348.985 * * [simplify]: Extracting #2: cost 10 inf + 0 348.985 * * [simplify]: Extracting #3: cost 58 inf + 0 348.986 * * [simplify]: Extracting #4: cost 114 inf + 44 348.987 * * [simplify]: Extracting #5: cost 126 inf + 946 348.988 * * [simplify]: Extracting #6: cost 182 inf + 2771 348.990 * * [simplify]: Extracting #7: cost 183 inf + 5028 348.997 * * [simplify]: Extracting #8: cost 104 inf + 27740 349.012 * * [simplify]: Extracting #9: cost 22 inf + 67770 349.031 * * [simplify]: Extracting #10: cost 2 inf + 77839 349.050 * * [simplify]: Extracting #11: cost 0 inf + 76692 349.068 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 349.068 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 349.068 * * * * [progress]: [ 666 / 5906 ] simplifiying candidate # 349.069 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 349.069 * * [simplify]: iters left: 6 (47 enodes) 349.083 * * [simplify]: iters left: 5 (227 enodes) 349.146 * * [simplify]: Extracting #0: cost 1 inf + 0 349.146 * * [simplify]: Extracting #1: cost 3 inf + 0 349.146 * * [simplify]: Extracting #2: cost 6 inf + 0 349.146 * * [simplify]: Extracting #3: cost 44 inf + 0 349.146 * * [simplify]: Extracting #4: cost 104 inf + 0 349.147 * * [simplify]: Extracting #5: cost 158 inf + 1 349.147 * * [simplify]: Extracting #6: cost 228 inf + 210 349.149 * * [simplify]: Extracting #7: cost 207 inf + 5134 349.156 * * [simplify]: Extracting #8: cost 117 inf + 25280 349.169 * * [simplify]: Extracting #9: cost 13 inf + 79885 349.188 * * [simplify]: Extracting #10: cost 1 inf + 85717 349.217 * * [simplify]: Extracting #11: cost 0 inf + 86520 349.239 * * [simplify]: Extracting #12: cost 0 inf + 86349 349.275 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 349.275 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 349.276 * * * * [progress]: [ 667 / 5906 ] simplifiying candidate # 349.277 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 349.278 * * [simplify]: iters left: 6 (48 enodes) 349.297 * * [simplify]: iters left: 5 (236 enodes) 349.364 * * [simplify]: Extracting #0: cost 1 inf + 0 349.365 * * [simplify]: Extracting #1: cost 3 inf + 0 349.365 * * [simplify]: Extracting #2: cost 6 inf + 0 349.365 * * [simplify]: Extracting #3: cost 48 inf + 0 349.365 * * [simplify]: Extracting #4: cost 127 inf + 0 349.366 * * [simplify]: Extracting #5: cost 167 inf + 333 349.369 * * [simplify]: Extracting #6: cost 191 inf + 7026 349.374 * * [simplify]: Extracting #7: cost 183 inf + 11651 349.379 * * [simplify]: Extracting #8: cost 137 inf + 19675 349.385 * * [simplify]: Extracting #9: cost 74 inf + 42945 349.400 * * [simplify]: Extracting #10: cost 6 inf + 91178 349.426 * * [simplify]: Extracting #11: cost 0 inf + 93588 349.451 * * [simplify]: Extracting #12: cost 0 inf + 93286 349.487 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 349.487 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 349.488 * * * * [progress]: [ 668 / 5906 ] simplifiying candidate # 349.489 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 349.490 * * [simplify]: iters left: 6 (48 enodes) 349.511 * * [simplify]: iters left: 5 (236 enodes) 349.570 * * [simplify]: Extracting #0: cost 1 inf + 0 349.570 * * [simplify]: Extracting #1: cost 3 inf + 0 349.570 * * [simplify]: Extracting #2: cost 6 inf + 0 349.570 * * [simplify]: Extracting #3: cost 50 inf + 0 349.570 * * [simplify]: Extracting #4: cost 125 inf + 0 349.571 * * [simplify]: Extracting #5: cost 164 inf + 381 349.572 * * [simplify]: Extracting #6: cost 196 inf + 5983 349.576 * * [simplify]: Extracting #7: cost 184 inf + 10853 349.585 * * [simplify]: Extracting #8: cost 112 inf + 28010 349.608 * * [simplify]: Extracting #9: cost 19 inf + 78707 349.629 * * [simplify]: Extracting #10: cost 2 inf + 87861 349.649 * * [simplify]: Extracting #11: cost 0 inf + 90118 349.677 * * [simplify]: Extracting #12: cost 0 inf + 90038 349.704 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 349.704 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 349.705 * * * * [progress]: [ 669 / 5906 ] simplifiying candidate # 349.705 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 349.706 * * [simplify]: iters left: 6 (42 enodes) 349.725 * * [simplify]: iters left: 5 (199 enodes) 349.785 * * [simplify]: Extracting #0: cost 1 inf + 0 349.785 * * [simplify]: Extracting #1: cost 3 inf + 0 349.785 * * [simplify]: Extracting #2: cost 6 inf + 0 349.785 * * [simplify]: Extracting #3: cost 42 inf + 0 349.786 * * [simplify]: Extracting #4: cost 94 inf + 0 349.786 * * [simplify]: Extracting #5: cost 118 inf + 45 349.788 * * [simplify]: Extracting #6: cost 171 inf + 1275 349.790 * * [simplify]: Extracting #7: cost 165 inf + 4616 349.797 * * [simplify]: Extracting #8: cost 84 inf + 25484 349.821 * * [simplify]: Extracting #9: cost 21 inf + 62545 349.851 * * [simplify]: Extracting #10: cost 1 inf + 69138 349.879 * * [simplify]: Extracting #11: cost 0 inf + 67779 349.907 * * [simplify]: Extracting #12: cost 0 inf + 67459 349.922 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))))) 349.922 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 349.922 * * * * [progress]: [ 670 / 5906 ] simplifiying candidate # 349.923 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 349.923 * * [simplify]: iters left: 6 (47 enodes) 349.938 * * [simplify]: iters left: 5 (228 enodes) 349.994 * * [simplify]: Extracting #0: cost 1 inf + 0 349.994 * * [simplify]: Extracting #1: cost 3 inf + 0 349.994 * * [simplify]: Extracting #2: cost 10 inf + 0 349.994 * * [simplify]: Extracting #3: cost 62 inf + 0 349.994 * * [simplify]: Extracting #4: cost 115 inf + 1 349.995 * * [simplify]: Extracting #5: cost 142 inf + 169 349.995 * * [simplify]: Extracting #6: cost 193 inf + 2889 349.997 * * [simplify]: Extracting #7: cost 188 inf + 6337 350.000 * * [simplify]: Extracting #8: cost 120 inf + 21545 350.010 * * [simplify]: Extracting #9: cost 42 inf + 57322 350.030 * * [simplify]: Extracting #10: cost 15 inf + 73233 350.047 * * [simplify]: Extracting #11: cost 1 inf + 82228 350.071 * * [simplify]: Extracting #12: cost 0 inf + 82773 350.088 * * [simplify]: Extracting #13: cost 0 inf + 82733 350.110 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 350.110 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 350.110 * * * * [progress]: [ 671 / 5906 ] simplifiying candidate # 350.111 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 350.111 * * [simplify]: iters left: 6 (42 enodes) 350.122 * * [simplify]: iters left: 5 (200 enodes) 350.170 * * [simplify]: Extracting #0: cost 1 inf + 0 350.170 * * [simplify]: Extracting #1: cost 3 inf + 0 350.170 * * [simplify]: Extracting #2: cost 10 inf + 0 350.170 * * [simplify]: Extracting #3: cost 50 inf + 0 350.171 * * [simplify]: Extracting #4: cost 88 inf + 86 350.171 * * [simplify]: Extracting #5: cost 97 inf + 1473 350.172 * * [simplify]: Extracting #6: cost 156 inf + 2933 350.173 * * [simplify]: Extracting #7: cost 160 inf + 4615 350.175 * * [simplify]: Extracting #8: cost 114 inf + 14027 350.181 * * [simplify]: Extracting #9: cost 56 inf + 33470 350.198 * * [simplify]: Extracting #10: cost 16 inf + 54535 350.223 * * [simplify]: Extracting #11: cost 0 inf + 63474 350.250 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 350.250 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 350.251 * * * * [progress]: [ 672 / 5906 ] simplifiying candidate # 350.251 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 350.252 * * [simplify]: iters left: 6 (47 enodes) 350.265 * * [simplify]: iters left: 5 (228 enodes) 350.327 * * [simplify]: Extracting #0: cost 1 inf + 0 350.327 * * [simplify]: Extracting #1: cost 3 inf + 0 350.327 * * [simplify]: Extracting #2: cost 10 inf + 0 350.327 * * [simplify]: Extracting #3: cost 62 inf + 0 350.327 * * [simplify]: Extracting #4: cost 115 inf + 1 350.328 * * [simplify]: Extracting #5: cost 140 inf + 423 350.329 * * [simplify]: Extracting #6: cost 189 inf + 4705 350.332 * * [simplify]: Extracting #7: cost 188 inf + 6731 350.337 * * [simplify]: Extracting #8: cost 116 inf + 22615 350.351 * * [simplify]: Extracting #9: cost 42 inf + 57282 350.366 * * [simplify]: Extracting #10: cost 14 inf + 74155 350.392 * * [simplify]: Extracting #11: cost 1 inf + 83108 350.413 * * [simplify]: Extracting #12: cost 0 inf + 83733 350.433 * * [simplify]: Extracting #13: cost 0 inf + 83693 350.452 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 350.453 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 350.453 * * * * [progress]: [ 673 / 5906 ] simplifiying candidate # 350.454 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 350.454 * * [simplify]: iters left: 6 (42 enodes) 350.470 * * [simplify]: iters left: 5 (200 enodes) 350.523 * * [simplify]: Extracting #0: cost 1 inf + 0 350.523 * * [simplify]: Extracting #1: cost 3 inf + 0 350.523 * * [simplify]: Extracting #2: cost 10 inf + 0 350.523 * * [simplify]: Extracting #3: cost 49 inf + 0 350.524 * * [simplify]: Extracting #4: cost 89 inf + 44 350.524 * * [simplify]: Extracting #5: cost 102 inf + 783 350.525 * * [simplify]: Extracting #6: cost 157 inf + 2771 350.526 * * [simplify]: Extracting #7: cost 160 inf + 4615 350.529 * * [simplify]: Extracting #8: cost 99 inf + 17239 350.537 * * [simplify]: Extracting #9: cost 35 inf + 47708 350.550 * * [simplify]: Extracting #10: cost 1 inf + 65455 350.564 * * [simplify]: Extracting #11: cost 0 inf + 63794 350.583 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 350.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 350.583 * * * * [progress]: [ 674 / 5906 ] simplifiying candidate # 350.584 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 350.584 * * [simplify]: iters left: 6 (51 enodes) 350.602 * * [simplify]: iters left: 5 (252 enodes) 350.665 * * [simplify]: Extracting #0: cost 1 inf + 0 350.665 * * [simplify]: Extracting #1: cost 3 inf + 0 350.665 * * [simplify]: Extracting #2: cost 6 inf + 0 350.665 * * [simplify]: Extracting #3: cost 52 inf + 0 350.666 * * [simplify]: Extracting #4: cost 120 inf + 0 350.666 * * [simplify]: Extracting #5: cost 189 inf + 0 350.667 * * [simplify]: Extracting #6: cost 267 inf + 1015 350.668 * * [simplify]: Extracting #7: cost 236 inf + 7055 350.672 * * [simplify]: Extracting #8: cost 138 inf + 27973 350.685 * * [simplify]: Extracting #9: cost 81 inf + 48260 350.697 * * [simplify]: Extracting #10: cost 43 inf + 65252 350.714 * * [simplify]: Extracting #11: cost 12 inf + 91745 350.738 * * [simplify]: Extracting #12: cost 1 inf + 103060 350.767 * * [simplify]: Extracting #13: cost 0 inf + 104805 350.794 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 350.795 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 350.795 * * * * [progress]: [ 675 / 5906 ] simplifiying candidate # 350.795 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 350.796 * * [simplify]: iters left: 6 (52 enodes) 350.812 * * [simplify]: iters left: 5 (261 enodes) 350.876 * * [simplify]: Extracting #0: cost 1 inf + 0 350.876 * * [simplify]: Extracting #1: cost 3 inf + 0 350.876 * * [simplify]: Extracting #2: cost 6 inf + 0 350.876 * * [simplify]: Extracting #3: cost 55 inf + 0 350.876 * * [simplify]: Extracting #4: cost 142 inf + 0 350.877 * * [simplify]: Extracting #5: cost 201 inf + 85 350.878 * * [simplify]: Extracting #6: cost 243 inf + 4563 350.883 * * [simplify]: Extracting #7: cost 223 inf + 10546 350.887 * * [simplify]: Extracting #8: cost 141 inf + 27916 350.897 * * [simplify]: Extracting #9: cost 54 inf + 61844 350.922 * * [simplify]: Extracting #10: cost 8 inf + 97018 350.961 * * [simplify]: Extracting #11: cost 1 inf + 105513 350.992 * * [simplify]: Extracting #12: cost 0 inf + 107338 351.015 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 351.015 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 351.016 * * * * [progress]: [ 676 / 5906 ] simplifiying candidate # 351.016 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 351.017 * * [simplify]: iters left: 6 (52 enodes) 351.033 * * [simplify]: iters left: 5 (261 enodes) 351.104 * * [simplify]: Extracting #0: cost 1 inf + 0 351.105 * * [simplify]: Extracting #1: cost 3 inf + 0 351.106 * * [simplify]: Extracting #2: cost 6 inf + 0 351.106 * * [simplify]: Extracting #3: cost 57 inf + 0 351.106 * * [simplify]: Extracting #4: cost 140 inf + 0 351.107 * * [simplify]: Extracting #5: cost 197 inf + 85 351.109 * * [simplify]: Extracting #6: cost 243 inf + 4517 351.111 * * [simplify]: Extracting #7: cost 220 inf + 11556 351.114 * * [simplify]: Extracting #8: cost 164 inf + 19759 351.121 * * [simplify]: Extracting #9: cost 100 inf + 40333 351.133 * * [simplify]: Extracting #10: cost 43 inf + 67775 351.151 * * [simplify]: Extracting #11: cost 9 inf + 95065 351.182 * * [simplify]: Extracting #12: cost 0 inf + 105130 351.206 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 351.206 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 351.206 * * * * [progress]: [ 677 / 5906 ] simplifiying candidate # 351.207 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 351.207 * * [simplify]: iters left: 6 (46 enodes) 351.224 * * [simplify]: iters left: 5 (225 enodes) 351.289 * * [simplify]: Extracting #0: cost 1 inf + 0 351.289 * * [simplify]: Extracting #1: cost 3 inf + 0 351.289 * * [simplify]: Extracting #2: cost 6 inf + 0 351.289 * * [simplify]: Extracting #3: cost 49 inf + 0 351.289 * * [simplify]: Extracting #4: cost 109 inf + 0 351.290 * * [simplify]: Extracting #5: cost 145 inf + 127 351.291 * * [simplify]: Extracting #6: cost 206 inf + 2084 351.292 * * [simplify]: Extracting #7: cost 204 inf + 3709 351.296 * * [simplify]: Extracting #8: cost 127 inf + 19621 351.306 * * [simplify]: Extracting #9: cost 72 inf + 39394 351.320 * * [simplify]: Extracting #10: cost 17 inf + 75215 351.342 * * [simplify]: Extracting #11: cost 0 inf + 87151 351.360 * * [simplify]: Extracting #12: cost 0 inf + 86551 351.386 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) 351.386 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 351.387 * * * * [progress]: [ 678 / 5906 ] simplifiying candidate # 351.387 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 351.387 * * [simplify]: iters left: 6 (51 enodes) 351.401 * * [simplify]: iters left: 5 (253 enodes) 351.461 * * [simplify]: Extracting #0: cost 1 inf + 0 351.461 * * [simplify]: Extracting #1: cost 3 inf + 0 351.461 * * [simplify]: Extracting #2: cost 10 inf + 0 351.462 * * [simplify]: Extracting #3: cost 67 inf + 0 351.462 * * [simplify]: Extracting #4: cost 125 inf + 42 351.462 * * [simplify]: Extracting #5: cost 167 inf + 249 351.463 * * [simplify]: Extracting #6: cost 235 inf + 1759 351.465 * * [simplify]: Extracting #7: cost 221 inf + 6599 351.468 * * [simplify]: Extracting #8: cost 143 inf + 21929 351.474 * * [simplify]: Extracting #9: cost 86 inf + 38556 351.488 * * [simplify]: Extracting #10: cost 43 inf + 63051 351.508 * * [simplify]: Extracting #11: cost 4 inf + 95576 351.535 * * [simplify]: Extracting #12: cost 1 inf + 100291 351.557 * * [simplify]: Extracting #13: cost 0 inf + 102156 351.592 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 351.592 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 351.593 * * * * [progress]: [ 679 / 5906 ] simplifiying candidate # 351.594 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 351.594 * * [simplify]: iters left: 6 (46 enodes) 351.619 * * [simplify]: iters left: 5 (225 enodes) 351.685 * * [simplify]: Extracting #0: cost 1 inf + 0 351.685 * * [simplify]: Extracting #1: cost 3 inf + 0 351.685 * * [simplify]: Extracting #2: cost 10 inf + 0 351.685 * * [simplify]: Extracting #3: cost 59 inf + 0 351.685 * * [simplify]: Extracting #4: cost 106 inf + 44 351.686 * * [simplify]: Extracting #5: cost 133 inf + 822 351.687 * * [simplify]: Extracting #6: cost 200 inf + 2648 351.688 * * [simplify]: Extracting #7: cost 204 inf + 3343 351.692 * * [simplify]: Extracting #8: cost 118 inf + 27040 351.701 * * [simplify]: Extracting #9: cost 39 inf + 56721 351.731 * * [simplify]: Extracting #10: cost 6 inf + 79332 351.758 * * [simplify]: Extracting #11: cost 0 inf + 83856 351.776 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 351.776 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 351.776 * * * * [progress]: [ 680 / 5906 ] simplifiying candidate # 351.777 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 351.777 * * [simplify]: iters left: 6 (51 enodes) 351.793 * * [simplify]: iters left: 5 (253 enodes) 351.862 * * [simplify]: Extracting #0: cost 1 inf + 0 351.863 * * [simplify]: Extracting #1: cost 3 inf + 0 351.863 * * [simplify]: Extracting #2: cost 10 inf + 0 351.863 * * [simplify]: Extracting #3: cost 67 inf + 0 351.863 * * [simplify]: Extracting #4: cost 125 inf + 42 351.863 * * [simplify]: Extracting #5: cost 167 inf + 248 351.864 * * [simplify]: Extracting #6: cost 235 inf + 1679 351.866 * * [simplify]: Extracting #7: cost 221 inf + 6358 351.870 * * [simplify]: Extracting #8: cost 140 inf + 23766 351.877 * * [simplify]: Extracting #9: cost 76 inf + 45023 351.893 * * [simplify]: Extracting #10: cost 27 inf + 78474 351.913 * * [simplify]: Extracting #11: cost 3 inf + 96041 351.939 * * [simplify]: Extracting #12: cost 1 inf + 99571 351.981 * * [simplify]: Extracting #13: cost 0 inf + 101356 352.004 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) 352.004 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 352.005 * * * * [progress]: [ 681 / 5906 ] simplifiying candidate # 352.005 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 352.006 * * [simplify]: iters left: 6 (46 enodes) 352.024 * * [simplify]: iters left: 5 (225 enodes) 352.083 * * [simplify]: Extracting #0: cost 1 inf + 0 352.084 * * [simplify]: Extracting #1: cost 3 inf + 0 352.084 * * [simplify]: Extracting #2: cost 10 inf + 0 352.084 * * [simplify]: Extracting #3: cost 58 inf + 0 352.084 * * [simplify]: Extracting #4: cost 106 inf + 44 352.085 * * [simplify]: Extracting #5: cost 134 inf + 740 352.087 * * [simplify]: Extracting #6: cost 198 inf + 2932 352.090 * * [simplify]: Extracting #7: cost 205 inf + 3262 352.098 * * [simplify]: Extracting #8: cost 114 inf + 29315 352.116 * * [simplify]: Extracting #9: cost 40 inf + 56216 352.144 * * [simplify]: Extracting #10: cost 6 inf + 79732 352.171 * * [simplify]: Extracting #11: cost 0 inf + 84256 352.189 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 352.189 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 352.190 * * * * [progress]: [ 682 / 5906 ] simplifiying candidate # 352.192 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 352.193 * * [simplify]: iters left: 6 (52 enodes) 352.208 * * [simplify]: iters left: 5 (249 enodes) 352.280 * * [simplify]: Extracting #0: cost 1 inf + 0 352.280 * * [simplify]: Extracting #1: cost 3 inf + 0 352.280 * * [simplify]: Extracting #2: cost 6 inf + 0 352.280 * * [simplify]: Extracting #3: cost 46 inf + 0 352.281 * * [simplify]: Extracting #4: cost 112 inf + 0 352.281 * * [simplify]: Extracting #5: cost 183 inf + 0 352.282 * * [simplify]: Extracting #6: cost 266 inf + 45 352.283 * * [simplify]: Extracting #7: cost 230 inf + 6598 352.289 * * [simplify]: Extracting #8: cost 143 inf + 22129 352.295 * * [simplify]: Extracting #9: cost 90 inf + 38909 352.304 * * [simplify]: Extracting #10: cost 52 inf + 54779 352.326 * * [simplify]: Extracting #11: cost 36 inf + 65617 352.347 * * [simplify]: Extracting #12: cost 7 inf + 95422 352.369 * * [simplify]: Extracting #13: cost 1 inf + 103532 352.392 * * [simplify]: Extracting #14: cost 0 inf + 105357 352.424 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 352.425 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 352.425 * * * * [progress]: [ 683 / 5906 ] simplifiying candidate # 352.425 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 352.426 * * [simplify]: iters left: 6 (53 enodes) 352.441 * * [simplify]: iters left: 5 (258 enodes) 352.515 * * [simplify]: Extracting #0: cost 1 inf + 0 352.515 * * [simplify]: Extracting #1: cost 3 inf + 0 352.515 * * [simplify]: Extracting #2: cost 6 inf + 0 352.515 * * [simplify]: Extracting #3: cost 50 inf + 0 352.516 * * [simplify]: Extracting #4: cost 135 inf + 0 352.516 * * [simplify]: Extracting #5: cost 197 inf + 44 352.517 * * [simplify]: Extracting #6: cost 241 inf + 4198 352.519 * * [simplify]: Extracting #7: cost 211 inf + 10370 352.527 * * [simplify]: Extracting #8: cost 139 inf + 24228 352.535 * * [simplify]: Extracting #9: cost 88 inf + 44301 352.545 * * [simplify]: Extracting #10: cost 46 inf + 61624 352.568 * * [simplify]: Extracting #11: cost 11 inf + 93339 352.597 * * [simplify]: Extracting #12: cost 0 inf + 105894 352.625 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 352.625 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 352.626 * * * * [progress]: [ 684 / 5906 ] simplifiying candidate # 352.626 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 352.626 * * [simplify]: iters left: 6 (53 enodes) 352.643 * * [simplify]: iters left: 5 (258 enodes) 352.758 * * [simplify]: Extracting #0: cost 1 inf + 0 352.758 * * [simplify]: Extracting #1: cost 3 inf + 0 352.758 * * [simplify]: Extracting #2: cost 6 inf + 0 352.758 * * [simplify]: Extracting #3: cost 52 inf + 0 352.759 * * [simplify]: Extracting #4: cost 133 inf + 0 352.760 * * [simplify]: Extracting #5: cost 193 inf + 44 352.762 * * [simplify]: Extracting #6: cost 235 inf + 4922 352.767 * * [simplify]: Extracting #7: cost 207 inf + 11511 352.771 * * [simplify]: Extracting #8: cost 130 inf + 24907 352.779 * * [simplify]: Extracting #9: cost 64 inf + 49420 352.790 * * [simplify]: Extracting #10: cost 36 inf + 66506 352.808 * * [simplify]: Extracting #11: cost 7 inf + 94951 352.833 * * [simplify]: Extracting #12: cost 0 inf + 104526 352.864 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 352.864 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 352.864 * * * * [progress]: [ 685 / 5906 ] simplifiying candidate # 352.865 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 352.865 * * [simplify]: iters left: 6 (47 enodes) 352.879 * * [simplify]: iters left: 5 (222 enodes) 352.949 * * [simplify]: Extracting #0: cost 1 inf + 0 352.949 * * [simplify]: Extracting #1: cost 3 inf + 0 352.949 * * [simplify]: Extracting #2: cost 6 inf + 0 352.949 * * [simplify]: Extracting #3: cost 47 inf + 0 352.949 * * [simplify]: Extracting #4: cost 107 inf + 0 352.950 * * [simplify]: Extracting #5: cost 146 inf + 44 352.951 * * [simplify]: Extracting #6: cost 210 inf + 1192 352.954 * * [simplify]: Extracting #7: cost 194 inf + 3798 352.957 * * [simplify]: Extracting #8: cost 159 inf + 8268 352.965 * * [simplify]: Extracting #9: cost 108 inf + 22037 352.973 * * [simplify]: Extracting #10: cost 51 inf + 45151 352.987 * * [simplify]: Extracting #11: cost 10 inf + 74511 353.015 * * [simplify]: Extracting #12: cost 0 inf + 85641 353.033 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 353.033 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 353.033 * * * * [progress]: [ 686 / 5906 ] simplifiying candidate # 353.034 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 353.034 * * [simplify]: iters left: 6 (52 enodes) 353.052 * * [simplify]: iters left: 5 (250 enodes) 353.127 * * [simplify]: Extracting #0: cost 1 inf + 0 353.127 * * [simplify]: Extracting #1: cost 3 inf + 0 353.127 * * [simplify]: Extracting #2: cost 10 inf + 0 353.128 * * [simplify]: Extracting #3: cost 63 inf + 0 353.128 * * [simplify]: Extracting #4: cost 122 inf + 1 353.128 * * [simplify]: Extracting #5: cost 165 inf + 207 353.129 * * [simplify]: Extracting #6: cost 234 inf + 1553 353.131 * * [simplify]: Extracting #7: cost 213 inf + 6042 353.134 * * [simplify]: Extracting #8: cost 138 inf + 21420 353.140 * * [simplify]: Extracting #9: cost 92 inf + 37198 353.151 * * [simplify]: Extracting #10: cost 37 inf + 62212 353.165 * * [simplify]: Extracting #11: cost 29 inf + 67812 353.193 * * [simplify]: Extracting #12: cost 5 inf + 90652 353.213 * * [simplify]: Extracting #13: cost 1 inf + 96832 353.233 * * [simplify]: Extracting #14: cost 0 inf + 98617 353.255 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 353.255 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 353.256 * * * * [progress]: [ 687 / 5906 ] simplifiying candidate # 353.256 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 353.257 * * [simplify]: iters left: 6 (47 enodes) 353.282 * * [simplify]: iters left: 5 (222 enodes) 353.346 * * [simplify]: Extracting #0: cost 1 inf + 0 353.346 * * [simplify]: Extracting #1: cost 3 inf + 0 353.346 * * [simplify]: Extracting #2: cost 10 inf + 0 353.346 * * [simplify]: Extracting #3: cost 58 inf + 0 353.347 * * [simplify]: Extracting #4: cost 104 inf + 44 353.347 * * [simplify]: Extracting #5: cost 131 inf + 942 353.348 * * [simplify]: Extracting #6: cost 195 inf + 2972 353.349 * * [simplify]: Extracting #7: cost 197 inf + 3344 353.352 * * [simplify]: Extracting #8: cost 143 inf + 15303 353.359 * * [simplify]: Extracting #9: cost 69 inf + 42880 353.369 * * [simplify]: Extracting #10: cost 24 inf + 58736 353.387 * * [simplify]: Extracting #11: cost 4 inf + 76183 353.417 * * [simplify]: Extracting #12: cost 1 inf + 80218 353.450 * * [simplify]: Extracting #13: cost 0 inf + 81803 353.479 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 353.479 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 353.480 * * * * [progress]: [ 688 / 5906 ] simplifiying candidate # 353.481 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 353.481 * * [simplify]: iters left: 6 (52 enodes) 353.510 * * [simplify]: iters left: 5 (250 enodes) 353.572 * * [simplify]: Extracting #0: cost 1 inf + 0 353.572 * * [simplify]: Extracting #1: cost 3 inf + 0 353.572 * * [simplify]: Extracting #2: cost 10 inf + 0 353.573 * * [simplify]: Extracting #3: cost 63 inf + 0 353.573 * * [simplify]: Extracting #4: cost 122 inf + 1 353.573 * * [simplify]: Extracting #5: cost 165 inf + 207 353.574 * * [simplify]: Extracting #6: cost 232 inf + 1636 353.576 * * [simplify]: Extracting #7: cost 212 inf + 5942 353.579 * * [simplify]: Extracting #8: cost 138 inf + 21893 353.585 * * [simplify]: Extracting #9: cost 90 inf + 39326 353.599 * * [simplify]: Extracting #10: cost 37 inf + 63172 353.617 * * [simplify]: Extracting #11: cost 29 inf + 68772 353.637 * * [simplify]: Extracting #12: cost 5 inf + 91612 353.657 * * [simplify]: Extracting #13: cost 1 inf + 97792 353.677 * * [simplify]: Extracting #14: cost 0 inf + 99577 353.698 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 353.698 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 353.699 * * * * [progress]: [ 689 / 5906 ] simplifiying candidate # 353.699 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 353.699 * * [simplify]: iters left: 6 (47 enodes) 353.716 * * [simplify]: iters left: 5 (222 enodes) 353.802 * * [simplify]: Extracting #0: cost 1 inf + 0 353.802 * * [simplify]: Extracting #1: cost 3 inf + 0 353.802 * * [simplify]: Extracting #2: cost 10 inf + 0 353.802 * * [simplify]: Extracting #3: cost 57 inf + 0 353.803 * * [simplify]: Extracting #4: cost 103 inf + 86 353.804 * * [simplify]: Extracting #5: cost 123 inf + 1998 353.806 * * [simplify]: Extracting #6: cost 195 inf + 2932 353.808 * * [simplify]: Extracting #7: cost 197 inf + 3344 353.814 * * [simplify]: Extracting #8: cost 114 inf + 26656 353.824 * * [simplify]: Extracting #9: cost 32 inf + 58497 353.838 * * [simplify]: Extracting #10: cost 5 inf + 76011 353.857 * * [simplify]: Extracting #11: cost 1 inf + 79978 353.877 * * [simplify]: Extracting #12: cost 0 inf + 81523 353.898 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 353.898 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 353.899 * * * * [progress]: [ 690 / 5906 ] simplifiying candidate # 353.899 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 353.900 * * [simplify]: iters left: 6 (52 enodes) 353.919 * * [simplify]: iters left: 5 (249 enodes) 353.978 * * [simplify]: Extracting #0: cost 1 inf + 0 353.978 * * [simplify]: Extracting #1: cost 3 inf + 0 353.978 * * [simplify]: Extracting #2: cost 6 inf + 0 353.978 * * [simplify]: Extracting #3: cost 46 inf + 0 353.978 * * [simplify]: Extracting #4: cost 112 inf + 0 353.978 * * [simplify]: Extracting #5: cost 179 inf + 0 353.979 * * [simplify]: Extracting #6: cost 259 inf + 211 353.981 * * [simplify]: Extracting #7: cost 210 inf + 9461 353.985 * * [simplify]: Extracting #8: cost 134 inf + 24654 353.992 * * [simplify]: Extracting #9: cost 83 inf + 43862 354.008 * * [simplify]: Extracting #10: cost 45 inf + 58882 354.041 * * [simplify]: Extracting #11: cost 7 inf + 96912 354.074 * * [simplify]: Extracting #12: cost 0 inf + 106127 354.099 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 354.099 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 354.100 * * * * [progress]: [ 691 / 5906 ] simplifiying candidate # 354.100 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 354.100 * * [simplify]: iters left: 6 (53 enodes) 354.117 * * [simplify]: iters left: 5 (258 enodes) 354.202 * * [simplify]: Extracting #0: cost 1 inf + 0 354.202 * * [simplify]: Extracting #1: cost 3 inf + 0 354.202 * * [simplify]: Extracting #2: cost 6 inf + 0 354.203 * * [simplify]: Extracting #3: cost 50 inf + 0 354.203 * * [simplify]: Extracting #4: cost 135 inf + 0 354.203 * * [simplify]: Extracting #5: cost 193 inf + 44 354.204 * * [simplify]: Extracting #6: cost 233 inf + 4366 354.207 * * [simplify]: Extracting #7: cost 192 inf + 14401 354.212 * * [simplify]: Extracting #8: cost 141 inf + 23282 354.218 * * [simplify]: Extracting #9: cost 100 inf + 36255 354.234 * * [simplify]: Extracting #10: cost 57 inf + 54655 354.252 * * [simplify]: Extracting #11: cost 9 inf + 95599 354.274 * * [simplify]: Extracting #12: cost 0 inf + 106184 354.312 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 354.312 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 354.313 * * * * [progress]: [ 692 / 5906 ] simplifiying candidate # 354.313 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 354.313 * * [simplify]: iters left: 6 (53 enodes) 354.328 * * [simplify]: iters left: 5 (258 enodes) 354.393 * * [simplify]: Extracting #0: cost 1 inf + 0 354.393 * * [simplify]: Extracting #1: cost 3 inf + 0 354.393 * * [simplify]: Extracting #2: cost 6 inf + 0 354.393 * * [simplify]: Extracting #3: cost 52 inf + 0 354.393 * * [simplify]: Extracting #4: cost 133 inf + 0 354.393 * * [simplify]: Extracting #5: cost 189 inf + 44 354.395 * * [simplify]: Extracting #6: cost 223 inf + 5899 354.397 * * [simplify]: Extracting #7: cost 185 inf + 15047 354.402 * * [simplify]: Extracting #8: cost 118 inf + 29243 354.410 * * [simplify]: Extracting #9: cost 58 inf + 52457 354.422 * * [simplify]: Extracting #10: cost 34 inf + 67406 354.439 * * [simplify]: Extracting #11: cost 7 inf + 95001 354.464 * * [simplify]: Extracting #12: cost 0 inf + 104896 354.488 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 354.488 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 354.489 * * * * [progress]: [ 693 / 5906 ] simplifiying candidate # 354.490 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 354.490 * * [simplify]: iters left: 6 (47 enodes) 354.516 * * [simplify]: iters left: 5 (222 enodes) 354.605 * * [simplify]: Extracting #0: cost 1 inf + 0 354.605 * * [simplify]: Extracting #1: cost 3 inf + 0 354.605 * * [simplify]: Extracting #2: cost 6 inf + 0 354.605 * * [simplify]: Extracting #3: cost 47 inf + 0 354.605 * * [simplify]: Extracting #4: cost 107 inf + 0 354.605 * * [simplify]: Extracting #5: cost 142 inf + 44 354.606 * * [simplify]: Extracting #6: cost 203 inf + 1318 354.608 * * [simplify]: Extracting #7: cost 184 inf + 5466 354.610 * * [simplify]: Extracting #8: cost 148 inf + 10859 354.617 * * [simplify]: Extracting #9: cost 97 inf + 29709 354.627 * * [simplify]: Extracting #10: cost 35 inf + 54376 354.646 * * [simplify]: Extracting #11: cost 11 inf + 72536 354.663 * * [simplify]: Extracting #12: cost 0 inf + 84371 354.681 * * [simplify]: Extracting #13: cost 0 inf + 84091 354.698 * * [simplify]: Extracting #14: cost 0 inf + 84051 354.720 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 354.720 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 354.720 * * * * [progress]: [ 694 / 5906 ] simplifiying candidate # 354.721 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 354.721 * * [simplify]: iters left: 6 (52 enodes) 354.737 * * [simplify]: iters left: 5 (250 enodes) 354.805 * * [simplify]: Extracting #0: cost 1 inf + 0 354.805 * * [simplify]: Extracting #1: cost 3 inf + 0 354.805 * * [simplify]: Extracting #2: cost 10 inf + 0 354.805 * * [simplify]: Extracting #3: cost 63 inf + 0 354.806 * * [simplify]: Extracting #4: cost 122 inf + 1 354.806 * * [simplify]: Extracting #5: cost 161 inf + 207 354.808 * * [simplify]: Extracting #6: cost 229 inf + 1556 354.812 * * [simplify]: Extracting #7: cost 188 inf + 11343 354.824 * * [simplify]: Extracting #8: cost 103 inf + 36303 354.833 * * [simplify]: Extracting #9: cost 49 inf + 54322 354.844 * * [simplify]: Extracting #10: cost 29 inf + 66142 354.861 * * [simplify]: Extracting #11: cost 5 inf + 89862 354.882 * * [simplify]: Extracting #12: cost 1 inf + 94722 354.902 * * [simplify]: Extracting #13: cost 0 inf + 96507 354.923 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 354.923 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 354.923 * * * * [progress]: [ 695 / 5906 ] simplifiying candidate # 354.925 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 354.926 * * [simplify]: iters left: 6 (47 enodes) 354.947 * * [simplify]: iters left: 5 (222 enodes) 354.998 * * [simplify]: Extracting #0: cost 1 inf + 0 354.998 * * [simplify]: Extracting #1: cost 3 inf + 0 354.998 * * [simplify]: Extracting #2: cost 10 inf + 0 354.998 * * [simplify]: Extracting #3: cost 58 inf + 0 354.998 * * [simplify]: Extracting #4: cost 104 inf + 44 354.999 * * [simplify]: Extracting #5: cost 127 inf + 862 355.000 * * [simplify]: Extracting #6: cost 190 inf + 2814 355.001 * * [simplify]: Extracting #7: cost 183 inf + 4897 355.004 * * [simplify]: Extracting #8: cost 129 inf + 17388 355.011 * * [simplify]: Extracting #9: cost 78 inf + 37193 355.026 * * [simplify]: Extracting #10: cost 25 inf + 58881 355.051 * * [simplify]: Extracting #11: cost 3 inf + 77378 355.070 * * [simplify]: Extracting #12: cost 1 inf + 80508 355.089 * * [simplify]: Extracting #13: cost 0 inf + 82093 355.120 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 355.120 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 355.121 * * * * [progress]: [ 696 / 5906 ] simplifiying candidate # 355.121 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 355.122 * * [simplify]: iters left: 6 (52 enodes) 355.140 * * [simplify]: iters left: 5 (250 enodes) 355.220 * * [simplify]: Extracting #0: cost 1 inf + 0 355.221 * * [simplify]: Extracting #1: cost 3 inf + 0 355.221 * * [simplify]: Extracting #2: cost 10 inf + 0 355.221 * * [simplify]: Extracting #3: cost 63 inf + 0 355.221 * * [simplify]: Extracting #4: cost 122 inf + 1 355.221 * * [simplify]: Extracting #5: cost 161 inf + 207 355.222 * * [simplify]: Extracting #6: cost 227 inf + 1679 355.224 * * [simplify]: Extracting #7: cost 185 inf + 12689 355.230 * * [simplify]: Extracting #8: cost 105 inf + 35603 355.239 * * [simplify]: Extracting #9: cost 52 inf + 54007 355.259 * * [simplify]: Extracting #10: cost 29 inf + 67102 355.289 * * [simplify]: Extracting #11: cost 5 inf + 90822 355.309 * * [simplify]: Extracting #12: cost 1 inf + 95682 355.332 * * [simplify]: Extracting #13: cost 0 inf + 97467 355.369 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 355.369 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 355.370 * * * * [progress]: [ 697 / 5906 ] simplifiying candidate # 355.370 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 355.370 * * [simplify]: iters left: 6 (47 enodes) 355.384 * * [simplify]: iters left: 5 (222 enodes) 355.441 * * [simplify]: Extracting #0: cost 1 inf + 0 355.441 * * [simplify]: Extracting #1: cost 3 inf + 0 355.441 * * [simplify]: Extracting #2: cost 10 inf + 0 355.441 * * [simplify]: Extracting #3: cost 57 inf + 0 355.441 * * [simplify]: Extracting #4: cost 103 inf + 86 355.442 * * [simplify]: Extracting #5: cost 120 inf + 1836 355.443 * * [simplify]: Extracting #6: cost 189 inf + 2976 355.444 * * [simplify]: Extracting #7: cost 183 inf + 4897 355.448 * * [simplify]: Extracting #8: cost 104 inf + 26743 355.457 * * [simplify]: Extracting #9: cost 33 inf + 57024 355.472 * * [simplify]: Extracting #10: cost 4 inf + 77566 355.501 * * [simplify]: Extracting #11: cost 0 inf + 82493 355.520 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 355.520 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 355.520 * * * * [progress]: [ 698 / 5906 ] simplifiying candidate # 355.521 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 355.521 * * [simplify]: iters left: 6 (52 enodes) 355.536 * * [simplify]: iters left: 5 (250 enodes) 355.599 * * [simplify]: Extracting #0: cost 1 inf + 0 355.599 * * [simplify]: Extracting #1: cost 3 inf + 0 355.599 * * [simplify]: Extracting #2: cost 6 inf + 0 355.599 * * [simplify]: Extracting #3: cost 46 inf + 0 355.599 * * [simplify]: Extracting #4: cost 112 inf + 0 355.600 * * [simplify]: Extracting #5: cost 182 inf + 0 355.600 * * [simplify]: Extracting #6: cost 266 inf + 45 355.602 * * [simplify]: Extracting #7: cost 215 inf + 7012 355.607 * * [simplify]: Extracting #8: cost 121 inf + 29012 355.614 * * [simplify]: Extracting #9: cost 65 inf + 48568 355.637 * * [simplify]: Extracting #10: cost 19 inf + 89660 355.663 * * [simplify]: Extracting #11: cost 5 inf + 99876 355.687 * * [simplify]: Extracting #12: cost 0 inf + 104397 355.708 * * [simplify]: Extracting #13: cost 0 inf + 104357 355.730 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 355.730 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 355.731 * * * * [progress]: [ 699 / 5906 ] simplifiying candidate # 355.732 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 355.732 * * [simplify]: iters left: 6 (53 enodes) 355.759 * * [simplify]: iters left: 5 (259 enodes) 355.823 * * [simplify]: Extracting #0: cost 1 inf + 0 355.823 * * [simplify]: Extracting #1: cost 3 inf + 0 355.823 * * [simplify]: Extracting #2: cost 6 inf + 0 355.823 * * [simplify]: Extracting #3: cost 50 inf + 0 355.824 * * [simplify]: Extracting #4: cost 135 inf + 0 355.824 * * [simplify]: Extracting #5: cost 196 inf + 44 355.826 * * [simplify]: Extracting #6: cost 243 inf + 3954 355.831 * * [simplify]: Extracting #7: cost 213 inf + 10247 355.838 * * [simplify]: Extracting #8: cost 143 inf + 22943 355.849 * * [simplify]: Extracting #9: cost 110 inf + 31615 355.865 * * [simplify]: Extracting #10: cost 69 inf + 48883 355.884 * * [simplify]: Extracting #11: cost 35 inf + 70219 355.906 * * [simplify]: Extracting #12: cost 6 inf + 101504 355.940 * * [simplify]: Extracting #13: cost 0 inf + 109654 355.962 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 355.962 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 355.963 * * * * [progress]: [ 700 / 5906 ] simplifiying candidate # 355.963 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 355.964 * * [simplify]: iters left: 6 (53 enodes) 355.979 * * [simplify]: iters left: 5 (259 enodes) 356.052 * * [simplify]: Extracting #0: cost 1 inf + 0 356.052 * * [simplify]: Extracting #1: cost 3 inf + 0 356.052 * * [simplify]: Extracting #2: cost 6 inf + 0 356.052 * * [simplify]: Extracting #3: cost 52 inf + 0 356.053 * * [simplify]: Extracting #4: cost 133 inf + 0 356.054 * * [simplify]: Extracting #5: cost 192 inf + 44 356.057 * * [simplify]: Extracting #6: cost 236 inf + 4960 356.061 * * [simplify]: Extracting #7: cost 211 inf + 10564 356.070 * * [simplify]: Extracting #8: cost 119 inf + 33264 356.089 * * [simplify]: Extracting #9: cost 49 inf + 60197 356.112 * * [simplify]: Extracting #10: cost 10 inf + 93636 356.144 * * [simplify]: Extracting #11: cost 0 inf + 105966 356.170 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 356.170 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 356.171 * * * * [progress]: [ 701 / 5906 ] simplifiying candidate # 356.171 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 356.171 * * [simplify]: iters left: 6 (47 enodes) 356.185 * * [simplify]: iters left: 5 (223 enodes) 356.253 * * [simplify]: Extracting #0: cost 1 inf + 0 356.254 * * [simplify]: Extracting #1: cost 3 inf + 0 356.254 * * [simplify]: Extracting #2: cost 6 inf + 0 356.254 * * [simplify]: Extracting #3: cost 47 inf + 0 356.254 * * [simplify]: Extracting #4: cost 107 inf + 0 356.255 * * [simplify]: Extracting #5: cost 145 inf + 44 356.257 * * [simplify]: Extracting #6: cost 209 inf + 1274 356.259 * * [simplify]: Extracting #7: cost 202 inf + 3103 356.266 * * [simplify]: Extracting #8: cost 133 inf + 17622 356.281 * * [simplify]: Extracting #9: cost 58 inf + 46721 356.303 * * [simplify]: Extracting #10: cost 11 inf + 78392 356.322 * * [simplify]: Extracting #11: cost 0 inf + 87281 356.345 * * [simplify]: Extracting #12: cost 0 inf + 86041 356.365 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 356.365 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 356.366 * * * * [progress]: [ 702 / 5906 ] simplifiying candidate # 356.366 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 356.367 * * [simplify]: iters left: 6 (52 enodes) 356.388 * * [simplify]: iters left: 5 (251 enodes) 356.477 * * [simplify]: Extracting #0: cost 1 inf + 0 356.477 * * [simplify]: Extracting #1: cost 3 inf + 0 356.477 * * [simplify]: Extracting #2: cost 10 inf + 0 356.477 * * [simplify]: Extracting #3: cost 63 inf + 0 356.480 * * [simplify]: Extracting #4: cost 122 inf + 1 356.481 * * [simplify]: Extracting #5: cost 164 inf + 207 356.483 * * [simplify]: Extracting #6: cost 231 inf + 1999 356.486 * * [simplify]: Extracting #7: cost 213 inf + 6120 356.491 * * [simplify]: Extracting #8: cost 121 inf + 27608 356.500 * * [simplify]: Extracting #9: cost 51 inf + 53637 356.516 * * [simplify]: Extracting #10: cost 7 inf + 92162 356.548 * * [simplify]: Extracting #11: cost 1 inf + 98312 356.571 * * [simplify]: Extracting #12: cost 0 inf + 100097 356.608 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) 356.608 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 356.609 * * * * [progress]: [ 703 / 5906 ] simplifiying candidate # 356.610 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 356.610 * * [simplify]: iters left: 6 (47 enodes) 356.629 * * [simplify]: iters left: 5 (223 enodes) 356.677 * * [simplify]: Extracting #0: cost 1 inf + 0 356.677 * * [simplify]: Extracting #1: cost 3 inf + 0 356.677 * * [simplify]: Extracting #2: cost 10 inf + 0 356.677 * * [simplify]: Extracting #3: cost 58 inf + 0 356.677 * * [simplify]: Extracting #4: cost 104 inf + 44 356.678 * * [simplify]: Extracting #5: cost 131 inf + 820 356.678 * * [simplify]: Extracting #6: cost 195 inf + 2972 356.680 * * [simplify]: Extracting #7: cost 198 inf + 3303 356.682 * * [simplify]: Extracting #8: cost 132 inf + 17854 356.690 * * [simplify]: Extracting #9: cost 60 inf + 43889 356.707 * * [simplify]: Extracting #10: cost 6 inf + 78342 356.730 * * [simplify]: Extracting #11: cost 0 inf + 81603 356.746 * * [simplify]: Extracting #12: cost 0 inf + 81443 356.770 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 356.770 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 356.771 * * * * [progress]: [ 704 / 5906 ] simplifiying candidate # 356.771 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 356.771 * * [simplify]: iters left: 6 (52 enodes) 356.785 * * [simplify]: iters left: 5 (251 enodes) 356.856 * * [simplify]: Extracting #0: cost 1 inf + 0 356.856 * * [simplify]: Extracting #1: cost 3 inf + 0 356.856 * * [simplify]: Extracting #2: cost 10 inf + 0 356.857 * * [simplify]: Extracting #3: cost 63 inf + 0 356.857 * * [simplify]: Extracting #4: cost 122 inf + 1 356.858 * * [simplify]: Extracting #5: cost 164 inf + 207 356.859 * * [simplify]: Extracting #6: cost 231 inf + 1797 356.862 * * [simplify]: Extracting #7: cost 214 inf + 5868 356.869 * * [simplify]: Extracting #8: cost 122 inf + 26869 356.877 * * [simplify]: Extracting #9: cost 51 inf + 54197 356.894 * * [simplify]: Extracting #10: cost 7 inf + 91882 356.917 * * [simplify]: Extracting #11: cost 1 inf + 99072 356.940 * * [simplify]: Extracting #12: cost 0 inf + 100897 356.961 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 356.962 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 356.962 * * * * [progress]: [ 705 / 5906 ] simplifiying candidate # 356.962 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 356.963 * * [simplify]: iters left: 6 (47 enodes) 356.976 * * [simplify]: iters left: 5 (223 enodes) 357.027 * * [simplify]: Extracting #0: cost 1 inf + 0 357.027 * * [simplify]: Extracting #1: cost 3 inf + 0 357.027 * * [simplify]: Extracting #2: cost 10 inf + 0 357.028 * * [simplify]: Extracting #3: cost 57 inf + 0 357.028 * * [simplify]: Extracting #4: cost 103 inf + 86 357.028 * * [simplify]: Extracting #5: cost 125 inf + 1512 357.029 * * [simplify]: Extracting #6: cost 195 inf + 2932 357.030 * * [simplify]: Extracting #7: cost 195 inf + 3547 357.033 * * [simplify]: Extracting #8: cost 133 inf + 17773 357.041 * * [simplify]: Extracting #9: cost 59 inf + 44794 357.055 * * [simplify]: Extracting #10: cost 7 inf + 78499 357.071 * * [simplify]: Extracting #11: cost 0 inf + 82163 357.091 * * [simplify]: Extracting #12: cost 0 inf + 81843 357.107 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 357.107 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 357.108 * * * * [progress]: [ 706 / 5906 ] simplifiying candidate # 357.108 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 357.108 * * [simplify]: iters left: 6 (52 enodes) 357.123 * * [simplify]: iters left: 5 (250 enodes) 357.182 * * [simplify]: Extracting #0: cost 1 inf + 0 357.182 * * [simplify]: Extracting #1: cost 3 inf + 0 357.182 * * [simplify]: Extracting #2: cost 6 inf + 0 357.182 * * [simplify]: Extracting #3: cost 46 inf + 0 357.182 * * [simplify]: Extracting #4: cost 112 inf + 0 357.182 * * [simplify]: Extracting #5: cost 179 inf + 0 357.183 * * [simplify]: Extracting #6: cost 258 inf + 253 357.185 * * [simplify]: Extracting #7: cost 206 inf + 9050 357.190 * * [simplify]: Extracting #8: cost 116 inf + 29675 357.197 * * [simplify]: Extracting #9: cost 66 inf + 48153 357.213 * * [simplify]: Extracting #10: cost 16 inf + 92364 357.235 * * [simplify]: Extracting #11: cost 1 inf + 103302 357.257 * * [simplify]: Extracting #12: cost 0 inf + 105007 357.280 * * [simplify]: Extracting #13: cost 0 inf + 104967 357.301 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) 357.301 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 357.302 * * * * [progress]: [ 707 / 5906 ] simplifiying candidate # 357.302 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 357.303 * * [simplify]: iters left: 6 (53 enodes) 357.318 * * [simplify]: iters left: 5 (259 enodes) 357.380 * * [simplify]: Extracting #0: cost 1 inf + 0 357.380 * * [simplify]: Extracting #1: cost 3 inf + 0 357.380 * * [simplify]: Extracting #2: cost 6 inf + 0 357.381 * * [simplify]: Extracting #3: cost 50 inf + 0 357.381 * * [simplify]: Extracting #4: cost 135 inf + 0 357.381 * * [simplify]: Extracting #5: cost 193 inf + 44 357.383 * * [simplify]: Extracting #6: cost 228 inf + 5258 357.385 * * [simplify]: Extracting #7: cost 192 inf + 14182 357.390 * * [simplify]: Extracting #8: cost 120 inf + 29808 357.399 * * [simplify]: Extracting #9: cost 61 inf + 51653 357.416 * * [simplify]: Extracting #10: cost 9 inf + 96679 357.441 * * [simplify]: Extracting #11: cost 0 inf + 107504 357.463 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 357.463 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 357.464 * * * * [progress]: [ 708 / 5906 ] simplifiying candidate # 357.464 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 357.464 * * [simplify]: iters left: 6 (53 enodes) 357.479 * * [simplify]: iters left: 5 (259 enodes) 357.544 * * [simplify]: Extracting #0: cost 1 inf + 0 357.544 * * [simplify]: Extracting #1: cost 3 inf + 0 357.544 * * [simplify]: Extracting #2: cost 6 inf + 0 357.544 * * [simplify]: Extracting #3: cost 52 inf + 0 357.544 * * [simplify]: Extracting #4: cost 133 inf + 0 357.545 * * [simplify]: Extracting #5: cost 189 inf + 44 357.546 * * [simplify]: Extracting #6: cost 228 inf + 4928 357.549 * * [simplify]: Extracting #7: cost 184 inf + 15311 357.554 * * [simplify]: Extracting #8: cost 118 inf + 31226 357.563 * * [simplify]: Extracting #9: cost 49 inf + 59007 357.581 * * [simplify]: Extracting #10: cost 10 inf + 92486 357.602 * * [simplify]: Extracting #11: cost 0 inf + 105056 357.626 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 357.626 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 357.626 * * * * [progress]: [ 709 / 5906 ] simplifiying candidate # 357.627 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 357.627 * * [simplify]: iters left: 6 (47 enodes) 357.641 * * [simplify]: iters left: 5 (223 enodes) 357.691 * * [simplify]: Extracting #0: cost 1 inf + 0 357.691 * * [simplify]: Extracting #1: cost 3 inf + 0 357.691 * * [simplify]: Extracting #2: cost 6 inf + 0 357.691 * * [simplify]: Extracting #3: cost 47 inf + 0 357.691 * * [simplify]: Extracting #4: cost 107 inf + 0 357.691 * * [simplify]: Extracting #5: cost 142 inf + 44 357.692 * * [simplify]: Extracting #6: cost 203 inf + 1318 357.694 * * [simplify]: Extracting #7: cost 186 inf + 5263 357.697 * * [simplify]: Extracting #8: cost 124 inf + 18746 357.707 * * [simplify]: Extracting #9: cost 59 inf + 45866 357.721 * * [simplify]: Extracting #10: cost 12 inf + 75737 357.738 * * [simplify]: Extracting #11: cost 0 inf + 86251 357.755 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 357.755 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 357.756 * * * * [progress]: [ 710 / 5906 ] simplifiying candidate # 357.756 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 357.756 * * [simplify]: iters left: 6 (52 enodes) 357.771 * * [simplify]: iters left: 5 (251 enodes) 357.829 * * [simplify]: Extracting #0: cost 1 inf + 0 357.829 * * [simplify]: Extracting #1: cost 3 inf + 0 357.829 * * [simplify]: Extracting #2: cost 10 inf + 0 357.829 * * [simplify]: Extracting #3: cost 63 inf + 0 357.829 * * [simplify]: Extracting #4: cost 122 inf + 1 357.829 * * [simplify]: Extracting #5: cost 161 inf + 207 357.830 * * [simplify]: Extracting #6: cost 224 inf + 2084 357.832 * * [simplify]: Extracting #7: cost 191 inf + 10203 357.836 * * [simplify]: Extracting #8: cost 118 inf + 26888 357.846 * * [simplify]: Extracting #9: cost 55 inf + 50848 357.862 * * [simplify]: Extracting #10: cost 7 inf + 89412 357.884 * * [simplify]: Extracting #11: cost 1 inf + 96082 357.904 * * [simplify]: Extracting #12: cost 0 inf + 97867 357.924 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) 357.924 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 357.924 * * * * [progress]: [ 711 / 5906 ] simplifiying candidate # 357.925 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 357.925 * * [simplify]: iters left: 6 (47 enodes) 357.938 * * [simplify]: iters left: 5 (223 enodes) 357.989 * * [simplify]: Extracting #0: cost 1 inf + 0 357.989 * * [simplify]: Extracting #1: cost 3 inf + 0 357.989 * * [simplify]: Extracting #2: cost 10 inf + 0 357.989 * * [simplify]: Extracting #3: cost 58 inf + 0 357.989 * * [simplify]: Extracting #4: cost 104 inf + 44 357.990 * * [simplify]: Extracting #5: cost 128 inf + 820 357.991 * * [simplify]: Extracting #6: cost 189 inf + 3016 357.992 * * [simplify]: Extracting #7: cost 182 inf + 5181 357.995 * * [simplify]: Extracting #8: cost 121 inf + 18921 358.002 * * [simplify]: Extracting #9: cost 58 inf + 42743 358.017 * * [simplify]: Extracting #10: cost 8 inf + 75937 358.034 * * [simplify]: Extracting #11: cost 0 inf + 82253 358.051 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 358.051 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 358.052 * * * * [progress]: [ 712 / 5906 ] simplifiying candidate # 358.052 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 358.052 * * [simplify]: iters left: 6 (52 enodes) 358.070 * * [simplify]: iters left: 5 (251 enodes) 358.128 * * [simplify]: Extracting #0: cost 1 inf + 0 358.128 * * [simplify]: Extracting #1: cost 3 inf + 0 358.128 * * [simplify]: Extracting #2: cost 10 inf + 0 358.128 * * [simplify]: Extracting #3: cost 63 inf + 0 358.128 * * [simplify]: Extracting #4: cost 122 inf + 1 358.128 * * [simplify]: Extracting #5: cost 161 inf + 207 358.129 * * [simplify]: Extracting #6: cost 223 inf + 2084 358.131 * * [simplify]: Extracting #7: cost 193 inf + 9669 358.138 * * [simplify]: Extracting #8: cost 118 inf + 26464 358.148 * * [simplify]: Extracting #9: cost 55 inf + 51408 358.164 * * [simplify]: Extracting #10: cost 7 inf + 89492 358.184 * * [simplify]: Extracting #11: cost 1 inf + 96002 358.205 * * [simplify]: Extracting #12: cost 0 inf + 97747 358.226 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 358.226 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 358.227 * * * * [progress]: [ 713 / 5906 ] simplifiying candidate # 358.227 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 358.227 * * [simplify]: iters left: 6 (47 enodes) 358.250 * * [simplify]: iters left: 5 (223 enodes) 358.297 * * [simplify]: Extracting #0: cost 1 inf + 0 358.297 * * [simplify]: Extracting #1: cost 3 inf + 0 358.297 * * [simplify]: Extracting #2: cost 10 inf + 0 358.297 * * [simplify]: Extracting #3: cost 57 inf + 0 358.297 * * [simplify]: Extracting #4: cost 103 inf + 86 358.298 * * [simplify]: Extracting #5: cost 122 inf + 1512 358.299 * * [simplify]: Extracting #6: cost 189 inf + 2976 358.300 * * [simplify]: Extracting #7: cost 181 inf + 5302 358.303 * * [simplify]: Extracting #8: cost 122 inf + 18840 358.310 * * [simplify]: Extracting #9: cost 58 inf + 42903 358.327 * * [simplify]: Extracting #10: cost 8 inf + 76608 358.344 * * [simplify]: Extracting #11: cost 0 inf + 82653 358.361 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) 358.361 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 358.362 * * * * [progress]: [ 714 / 5906 ] simplifiying candidate # 358.362 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 358.362 * * [simplify]: iters left: 6 (51 enodes) 358.376 * * [simplify]: iters left: 5 (256 enodes) 358.442 * * [simplify]: Extracting #0: cost 1 inf + 0 358.442 * * [simplify]: Extracting #1: cost 3 inf + 0 358.442 * * [simplify]: Extracting #2: cost 6 inf + 0 358.442 * * [simplify]: Extracting #3: cost 56 inf + 0 358.442 * * [simplify]: Extracting #4: cost 130 inf + 0 358.443 * * [simplify]: Extracting #5: cost 213 inf + 0 358.444 * * [simplify]: Extracting #6: cost 311 inf + 510 358.445 * * [simplify]: Extracting #7: cost 274 inf + 8534 358.448 * * [simplify]: Extracting #8: cost 191 inf + 23745 358.455 * * [simplify]: Extracting #9: cost 118 inf + 41318 358.466 * * [simplify]: Extracting #10: cost 60 inf + 69958 358.488 * * [simplify]: Extracting #11: cost 6 inf + 118572 358.516 * * [simplify]: Extracting #12: cost 1 inf + 126137 358.542 * * [simplify]: Extracting #13: cost 0 inf + 128162 358.569 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 358.569 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 358.570 * * * * [progress]: [ 715 / 5906 ] simplifiying candidate # 358.570 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 358.570 * * [simplify]: iters left: 6 (52 enodes) 358.584 * * [simplify]: iters left: 5 (265 enodes) 358.649 * * [simplify]: Extracting #0: cost 1 inf + 0 358.649 * * [simplify]: Extracting #1: cost 3 inf + 0 358.649 * * [simplify]: Extracting #2: cost 6 inf + 0 358.649 * * [simplify]: Extracting #3: cost 60 inf + 0 358.649 * * [simplify]: Extracting #4: cost 153 inf + 0 358.650 * * [simplify]: Extracting #5: cost 226 inf + 85 358.651 * * [simplify]: Extracting #6: cost 292 inf + 3831 358.653 * * [simplify]: Extracting #7: cost 257 inf + 11362 358.658 * * [simplify]: Extracting #8: cost 176 inf + 28771 358.667 * * [simplify]: Extracting #9: cost 96 inf + 58551 358.686 * * [simplify]: Extracting #10: cost 39 inf + 90004 358.710 * * [simplify]: Extracting #11: cost 4 inf + 123879 358.737 * * [simplify]: Extracting #12: cost 1 inf + 129194 358.765 * * [simplify]: Extracting #13: cost 0 inf + 131299 358.794 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 358.794 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 358.795 * * * * [progress]: [ 716 / 5906 ] simplifiying candidate # 358.795 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 358.795 * * [simplify]: iters left: 6 (52 enodes) 358.810 * * [simplify]: iters left: 5 (265 enodes) 358.880 * * [simplify]: Extracting #0: cost 1 inf + 0 358.880 * * [simplify]: Extracting #1: cost 3 inf + 0 358.880 * * [simplify]: Extracting #2: cost 6 inf + 0 358.880 * * [simplify]: Extracting #3: cost 62 inf + 0 358.880 * * [simplify]: Extracting #4: cost 151 inf + 0 358.881 * * [simplify]: Extracting #5: cost 222 inf + 85 358.883 * * [simplify]: Extracting #6: cost 291 inf + 3265 358.885 * * [simplify]: Extracting #7: cost 259 inf + 11062 358.890 * * [simplify]: Extracting #8: cost 179 inf + 28364 358.899 * * [simplify]: Extracting #9: cost 96 inf + 57520 358.913 * * [simplify]: Extracting #10: cost 49 inf + 82367 358.934 * * [simplify]: Extracting #11: cost 14 inf + 113181 358.962 * * [simplify]: Extracting #12: cost 0 inf + 131731 358.988 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 358.988 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 358.989 * * * * [progress]: [ 717 / 5906 ] simplifiying candidate # 358.989 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 358.990 * * [simplify]: iters left: 6 (46 enodes) 359.002 * * [simplify]: iters left: 5 (229 enodes) 359.059 * * [simplify]: Extracting #0: cost 1 inf + 0 359.059 * * [simplify]: Extracting #1: cost 3 inf + 0 359.059 * * [simplify]: Extracting #2: cost 6 inf + 0 359.060 * * [simplify]: Extracting #3: cost 54 inf + 0 359.060 * * [simplify]: Extracting #4: cost 119 inf + 0 359.060 * * [simplify]: Extracting #5: cost 170 inf + 126 359.061 * * [simplify]: Extracting #6: cost 253 inf + 1072 359.062 * * [simplify]: Extracting #7: cost 246 inf + 3506 359.065 * * [simplify]: Extracting #8: cost 184 inf + 12750 359.070 * * [simplify]: Extracting #9: cost 118 inf + 32699 359.081 * * [simplify]: Extracting #10: cost 49 inf + 63236 359.100 * * [simplify]: Extracting #11: cost 7 inf + 98375 359.121 * * [simplify]: Extracting #12: cost 0 inf + 106230 359.146 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1))))) 359.146 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 359.147 * * * * [progress]: [ 718 / 5906 ] simplifiying candidate # 359.147 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 359.147 * * [simplify]: iters left: 6 (51 enodes) 359.162 * * [simplify]: iters left: 5 (257 enodes) 359.227 * * [simplify]: Extracting #0: cost 1 inf + 0 359.227 * * [simplify]: Extracting #1: cost 3 inf + 0 359.227 * * [simplify]: Extracting #2: cost 10 inf + 0 359.227 * * [simplify]: Extracting #3: cost 74 inf + 0 359.228 * * [simplify]: Extracting #4: cost 136 inf + 42 359.228 * * [simplify]: Extracting #5: cost 192 inf + 249 359.229 * * [simplify]: Extracting #6: cost 278 inf + 1717 359.231 * * [simplify]: Extracting #7: cost 252 inf + 9192 359.236 * * [simplify]: Extracting #8: cost 147 inf + 33881 359.245 * * [simplify]: Extracting #9: cost 77 inf + 55604 359.265 * * [simplify]: Extracting #10: cost 13 inf + 106745 359.290 * * [simplify]: Extracting #11: cost 1 inf + 120056 359.324 * * [simplify]: Extracting #12: cost 0 inf + 122081 359.350 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 359.351 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 359.351 * * * * [progress]: [ 719 / 5906 ] simplifiying candidate # 359.351 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 359.352 * * [simplify]: iters left: 6 (46 enodes) 359.364 * * [simplify]: iters left: 5 (229 enodes) 359.418 * * [simplify]: Extracting #0: cost 1 inf + 0 359.418 * * [simplify]: Extracting #1: cost 3 inf + 0 359.418 * * [simplify]: Extracting #2: cost 10 inf + 0 359.418 * * [simplify]: Extracting #3: cost 66 inf + 0 359.418 * * [simplify]: Extracting #4: cost 117 inf + 44 359.419 * * [simplify]: Extracting #5: cost 160 inf + 618 359.420 * * [simplify]: Extracting #6: cost 241 inf + 2770 359.421 * * [simplify]: Extracting #7: cost 245 inf + 3584 359.423 * * [simplify]: Extracting #8: cost 197 inf + 9798 359.427 * * [simplify]: Extracting #9: cost 122 inf + 28689 359.437 * * [simplify]: Extracting #10: cost 54 inf + 57934 359.455 * * [simplify]: Extracting #11: cost 7 inf + 95025 359.476 * * [simplify]: Extracting #12: cost 0 inf + 102480 359.499 * * [simplify]: Extracting #13: cost 0 inf + 102240 359.519 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 359.519 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 359.520 * * * * [progress]: [ 720 / 5906 ] simplifiying candidate # 359.520 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 359.521 * * [simplify]: iters left: 6 (51 enodes) 359.535 * * [simplify]: iters left: 5 (257 enodes) 359.600 * * [simplify]: Extracting #0: cost 1 inf + 0 359.600 * * [simplify]: Extracting #1: cost 3 inf + 0 359.600 * * [simplify]: Extracting #2: cost 10 inf + 0 359.600 * * [simplify]: Extracting #3: cost 74 inf + 0 359.600 * * [simplify]: Extracting #4: cost 136 inf + 42 359.601 * * [simplify]: Extracting #5: cost 192 inf + 248 359.602 * * [simplify]: Extracting #6: cost 279 inf + 1594 359.604 * * [simplify]: Extracting #7: cost 253 inf + 9180 359.609 * * [simplify]: Extracting #8: cost 144 inf + 37423 359.620 * * [simplify]: Extracting #9: cost 69 inf + 62124 359.639 * * [simplify]: Extracting #10: cost 14 inf + 105661 359.664 * * [simplify]: Extracting #11: cost 1 inf + 119856 359.692 * * [simplify]: Extracting #12: cost 0 inf + 121841 359.718 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 359.718 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 359.718 * * * * [progress]: [ 721 / 5906 ] simplifiying candidate # 359.719 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 359.719 * * [simplify]: iters left: 6 (46 enodes) 359.732 * * [simplify]: iters left: 5 (229 enodes) 359.787 * * [simplify]: Extracting #0: cost 1 inf + 0 359.787 * * [simplify]: Extracting #1: cost 3 inf + 0 359.787 * * [simplify]: Extracting #2: cost 10 inf + 0 359.787 * * [simplify]: Extracting #3: cost 65 inf + 0 359.787 * * [simplify]: Extracting #4: cost 116 inf + 86 359.788 * * [simplify]: Extracting #5: cost 152 inf + 1594 359.789 * * [simplify]: Extracting #6: cost 240 inf + 2932 359.790 * * [simplify]: Extracting #7: cost 245 inf + 3584 359.792 * * [simplify]: Extracting #8: cost 195 inf + 10282 359.796 * * [simplify]: Extracting #9: cost 121 inf + 28546 359.806 * * [simplify]: Extracting #10: cost 50 inf + 60476 359.824 * * [simplify]: Extracting #11: cost 6 inf + 96210 359.845 * * [simplify]: Extracting #12: cost 0 inf + 102880 359.868 * * [simplify]: Extracting #13: cost 0 inf + 102640 359.890 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 359.890 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 359.891 * * * * [progress]: [ 722 / 5906 ] simplifiying candidate # 359.891 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 359.892 * * [simplify]: iters left: 6 (47 enodes) 359.905 * * [simplify]: iters left: 5 (228 enodes) 359.961 * * [simplify]: Extracting #0: cost 1 inf + 0 359.961 * * [simplify]: Extracting #1: cost 3 inf + 0 359.961 * * [simplify]: Extracting #2: cost 6 inf + 0 359.961 * * [simplify]: Extracting #3: cost 48 inf + 0 359.961 * * [simplify]: Extracting #4: cost 112 inf + 0 359.961 * * [simplify]: Extracting #5: cost 184 inf + 0 359.962 * * [simplify]: Extracting #6: cost 248 inf + 3318 359.963 * * [simplify]: Extracting #7: cost 214 inf + 9670 359.967 * * [simplify]: Extracting #8: cost 141 inf + 19717 359.973 * * [simplify]: Extracting #9: cost 95 inf + 37162 359.983 * * [simplify]: Extracting #10: cost 47 inf + 58896 359.999 * * [simplify]: Extracting #11: cost 10 inf + 88621 360.019 * * [simplify]: Extracting #12: cost 0 inf + 100431 360.041 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 360.041 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 360.042 * * * * [progress]: [ 723 / 5906 ] simplifiying candidate # 360.042 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 360.042 * * [simplify]: iters left: 6 (48 enodes) 360.055 * * [simplify]: iters left: 5 (237 enodes) 360.110 * * [simplify]: Extracting #0: cost 1 inf + 0 360.110 * * [simplify]: Extracting #1: cost 3 inf + 0 360.110 * * [simplify]: Extracting #2: cost 6 inf + 0 360.110 * * [simplify]: Extracting #3: cost 52 inf + 0 360.110 * * [simplify]: Extracting #4: cost 135 inf + 0 360.111 * * [simplify]: Extracting #5: cost 193 inf + 412 360.114 * * [simplify]: Extracting #6: cost 219 inf + 6904 360.117 * * [simplify]: Extracting #7: cost 204 inf + 11785 360.120 * * [simplify]: Extracting #8: cost 168 inf + 16345 360.126 * * [simplify]: Extracting #9: cost 94 inf + 38374 360.141 * * [simplify]: Extracting #10: cost 18 inf + 87271 360.160 * * [simplify]: Extracting #11: cost 3 inf + 100735 360.182 * * [simplify]: Extracting #12: cost 0 inf + 103768 360.204 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 360.204 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 360.205 * * * * [progress]: [ 724 / 5906 ] simplifiying candidate # 360.205 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 360.206 * * [simplify]: iters left: 6 (48 enodes) 360.221 * * [simplify]: iters left: 5 (237 enodes) 360.277 * * [simplify]: Extracting #0: cost 1 inf + 0 360.277 * * [simplify]: Extracting #1: cost 3 inf + 0 360.277 * * [simplify]: Extracting #2: cost 6 inf + 0 360.277 * * [simplify]: Extracting #3: cost 54 inf + 0 360.277 * * [simplify]: Extracting #4: cost 133 inf + 0 360.278 * * [simplify]: Extracting #5: cost 190 inf + 210 360.279 * * [simplify]: Extracting #6: cost 230 inf + 3996 360.281 * * [simplify]: Extracting #7: cost 212 inf + 9802 360.284 * * [simplify]: Extracting #8: cost 152 inf + 19290 360.293 * * [simplify]: Extracting #9: cost 83 inf + 45772 360.304 * * [simplify]: Extracting #10: cost 35 inf + 68146 360.322 * * [simplify]: Extracting #11: cost 4 inf + 97460 360.343 * * [simplify]: Extracting #12: cost 1 inf + 101135 360.364 * * [simplify]: Extracting #13: cost 0 inf + 103000 360.386 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) 360.386 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 360.386 * * * * [progress]: [ 725 / 5906 ] simplifiying candidate # 360.387 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 360.388 * * [simplify]: iters left: 6 (42 enodes) 360.400 * * [simplify]: iters left: 5 (202 enodes) 360.444 * * [simplify]: Extracting #0: cost 1 inf + 0 360.444 * * [simplify]: Extracting #1: cost 3 inf + 0 360.444 * * [simplify]: Extracting #2: cost 6 inf + 0 360.445 * * [simplify]: Extracting #3: cost 46 inf + 0 360.445 * * [simplify]: Extracting #4: cost 101 inf + 0 360.445 * * [simplify]: Extracting #5: cost 141 inf + 85 360.446 * * [simplify]: Extracting #6: cost 196 inf + 1555 360.447 * * [simplify]: Extracting #7: cost 187 inf + 3875 360.449 * * [simplify]: Extracting #8: cost 147 inf + 9475 360.453 * * [simplify]: Extracting #9: cost 90 inf + 25714 360.462 * * [simplify]: Extracting #10: cost 33 inf + 51466 360.479 * * [simplify]: Extracting #11: cost 5 inf + 75334 360.496 * * [simplify]: Extracting #12: cost 0 inf + 80299 360.515 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 360.515 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 360.516 * * * * [progress]: [ 726 / 5906 ] simplifiying candidate # 360.516 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 360.516 * * [simplify]: iters left: 6 (47 enodes) 360.530 * * [simplify]: iters left: 5 (230 enodes) 360.585 * * [simplify]: Extracting #0: cost 1 inf + 0 360.585 * * [simplify]: Extracting #1: cost 3 inf + 0 360.585 * * [simplify]: Extracting #2: cost 10 inf + 0 360.585 * * [simplify]: Extracting #3: cost 62 inf + 0 360.585 * * [simplify]: Extracting #4: cost 115 inf + 42 360.586 * * [simplify]: Extracting #5: cost 159 inf + 290 360.586 * * [simplify]: Extracting #6: cost 215 inf + 2243 360.588 * * [simplify]: Extracting #7: cost 193 inf + 8281 360.591 * * [simplify]: Extracting #8: cost 121 inf + 20570 360.599 * * [simplify]: Extracting #9: cost 54 inf + 48562 360.615 * * [simplify]: Extracting #10: cost 6 inf + 86085 360.634 * * [simplify]: Extracting #11: cost 0 inf + 93715 360.656 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 360.656 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 360.656 * * * * [progress]: [ 727 / 5906 ] simplifiying candidate # 360.657 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 360.657 * * [simplify]: iters left: 6 (42 enodes) 360.668 * * [simplify]: iters left: 5 (203 enodes) 360.712 * * [simplify]: Extracting #0: cost 1 inf + 0 360.712 * * [simplify]: Extracting #1: cost 3 inf + 0 360.712 * * [simplify]: Extracting #2: cost 10 inf + 0 360.712 * * [simplify]: Extracting #3: cost 54 inf + 0 360.713 * * [simplify]: Extracting #4: cost 95 inf + 86 360.713 * * [simplify]: Extracting #5: cost 121 inf + 1392 360.714 * * [simplify]: Extracting #6: cost 181 inf + 2932 360.715 * * [simplify]: Extracting #7: cost 184 inf + 3790 360.718 * * [simplify]: Extracting #8: cost 116 inf + 16722 360.723 * * [simplify]: Extracting #9: cost 70 inf + 31772 360.736 * * [simplify]: Extracting #10: cost 23 inf + 58050 360.751 * * [simplify]: Extracting #11: cost 1 inf + 75649 360.767 * * [simplify]: Extracting #12: cost 0 inf + 77194 360.783 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 360.783 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 360.784 * * * * [progress]: [ 728 / 5906 ] simplifiying candidate # 360.784 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 360.784 * * [simplify]: iters left: 6 (47 enodes) 360.798 * * [simplify]: iters left: 5 (230 enodes) 360.853 * * [simplify]: Extracting #0: cost 1 inf + 0 360.853 * * [simplify]: Extracting #1: cost 3 inf + 0 360.853 * * [simplify]: Extracting #2: cost 10 inf + 0 360.853 * * [simplify]: Extracting #3: cost 62 inf + 0 360.854 * * [simplify]: Extracting #4: cost 115 inf + 42 360.854 * * [simplify]: Extracting #5: cost 158 inf + 332 360.855 * * [simplify]: Extracting #6: cost 209 inf + 3455 360.857 * * [simplify]: Extracting #7: cost 192 inf + 8313 360.860 * * [simplify]: Extracting #8: cost 118 inf + 21408 360.868 * * [simplify]: Extracting #9: cost 64 inf + 42728 360.884 * * [simplify]: Extracting #10: cost 11 inf + 83869 360.903 * * [simplify]: Extracting #11: cost 0 inf + 94515 360.925 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 360.925 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 360.926 * * * * [progress]: [ 729 / 5906 ] simplifiying candidate # 360.926 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 360.926 * * [simplify]: iters left: 6 (42 enodes) 360.937 * * [simplify]: iters left: 5 (203 enodes) 360.981 * * [simplify]: Extracting #0: cost 1 inf + 0 360.981 * * [simplify]: Extracting #1: cost 3 inf + 0 360.981 * * [simplify]: Extracting #2: cost 10 inf + 0 360.981 * * [simplify]: Extracting #3: cost 53 inf + 0 360.982 * * [simplify]: Extracting #4: cost 96 inf + 44 360.982 * * [simplify]: Extracting #5: cost 125 inf + 944 360.983 * * [simplify]: Extracting #6: cost 181 inf + 3012 360.984 * * [simplify]: Extracting #7: cost 184 inf + 3790 360.987 * * [simplify]: Extracting #8: cost 118 inf + 15690 360.994 * * [simplify]: Extracting #9: cost 70 inf + 31772 361.005 * * [simplify]: Extracting #10: cost 20 inf + 59630 361.020 * * [simplify]: Extracting #11: cost 1 inf + 75969 361.036 * * [simplify]: Extracting #12: cost 0 inf + 77514 361.052 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 361.052 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 361.053 * * * * [progress]: [ 730 / 5906 ] simplifiying candidate # 361.053 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 361.053 * * [simplify]: iters left: 6 (51 enodes) 361.067 * * [simplify]: iters left: 5 (250 enodes) 361.127 * * [simplify]: Extracting #0: cost 1 inf + 0 361.127 * * [simplify]: Extracting #1: cost 3 inf + 0 361.128 * * [simplify]: Extracting #2: cost 6 inf + 0 361.129 * * [simplify]: Extracting #3: cost 50 inf + 0 361.129 * * [simplify]: Extracting #4: cost 116 inf + 0 361.129 * * [simplify]: Extracting #5: cost 185 inf + 0 361.130 * * [simplify]: Extracting #6: cost 264 inf + 763 361.131 * * [simplify]: Extracting #7: cost 232 inf + 7124 361.135 * * [simplify]: Extracting #8: cost 125 inf + 28207 361.142 * * [simplify]: Extracting #9: cost 81 inf + 40652 361.153 * * [simplify]: Extracting #10: cost 43 inf + 65894 361.174 * * [simplify]: Extracting #11: cost 8 inf + 96433 361.195 * * [simplify]: Extracting #12: cost 1 inf + 103448 361.216 * * [simplify]: Extracting #13: cost 0 inf + 105193 361.237 * * [simplify]: Extracting #14: cost 0 inf + 105153 361.257 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 361.257 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 361.258 * * * * [progress]: [ 731 / 5906 ] simplifiying candidate # 361.258 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 361.259 * * [simplify]: iters left: 6 (52 enodes) 361.274 * * [simplify]: iters left: 5 (259 enodes) 361.333 * * [simplify]: Extracting #0: cost 1 inf + 0 361.333 * * [simplify]: Extracting #1: cost 3 inf + 0 361.333 * * [simplify]: Extracting #2: cost 6 inf + 0 361.333 * * [simplify]: Extracting #3: cost 53 inf + 0 361.333 * * [simplify]: Extracting #4: cost 138 inf + 0 361.334 * * [simplify]: Extracting #5: cost 196 inf + 126 361.335 * * [simplify]: Extracting #6: cost 243 inf + 4317 361.337 * * [simplify]: Extracting #7: cost 220 inf + 10373 361.344 * * [simplify]: Extracting #8: cost 155 inf + 23788 361.352 * * [simplify]: Extracting #9: cost 73 inf + 51353 361.368 * * [simplify]: Extracting #10: cost 29 inf + 83119 361.387 * * [simplify]: Extracting #11: cost 14 inf + 93692 361.408 * * [simplify]: Extracting #12: cost 3 inf + 101950 361.430 * * [simplify]: Extracting #13: cost 0 inf + 107385 361.452 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 361.453 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 361.453 * * * * [progress]: [ 732 / 5906 ] simplifiying candidate # 361.453 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 361.454 * * [simplify]: iters left: 6 (52 enodes) 361.468 * * [simplify]: iters left: 5 (259 enodes) 361.532 * * [simplify]: Extracting #0: cost 1 inf + 0 361.532 * * [simplify]: Extracting #1: cost 3 inf + 0 361.532 * * [simplify]: Extracting #2: cost 6 inf + 0 361.532 * * [simplify]: Extracting #3: cost 55 inf + 0 361.532 * * [simplify]: Extracting #4: cost 136 inf + 0 361.533 * * [simplify]: Extracting #5: cost 193 inf + 85 361.534 * * [simplify]: Extracting #6: cost 232 inf + 5852 361.536 * * [simplify]: Extracting #7: cost 216 inf + 11175 361.540 * * [simplify]: Extracting #8: cost 147 inf + 23265 361.547 * * [simplify]: Extracting #9: cost 79 inf + 43058 361.558 * * [simplify]: Extracting #10: cost 52 inf + 60570 361.576 * * [simplify]: Extracting #11: cost 8 inf + 97087 361.598 * * [simplify]: Extracting #12: cost 0 inf + 105417 361.621 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 361.621 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 361.622 * * * * [progress]: [ 733 / 5906 ] simplifiying candidate # 361.622 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 361.622 * * [simplify]: iters left: 6 (46 enodes) 361.635 * * [simplify]: iters left: 5 (225 enodes) 361.685 * * [simplify]: Extracting #0: cost 1 inf + 0 361.685 * * [simplify]: Extracting #1: cost 3 inf + 0 361.685 * * [simplify]: Extracting #2: cost 6 inf + 0 361.685 * * [simplify]: Extracting #3: cost 47 inf + 0 361.685 * * [simplify]: Extracting #4: cost 104 inf + 0 361.686 * * [simplify]: Extracting #5: cost 144 inf + 2 361.687 * * [simplify]: Extracting #6: cost 203 inf + 1962 361.688 * * [simplify]: Extracting #7: cost 202 inf + 3466 361.694 * * [simplify]: Extracting #8: cost 121 inf + 21810 361.704 * * [simplify]: Extracting #9: cost 58 inf + 49535 361.715 * * [simplify]: Extracting #10: cost 30 inf + 60375 361.729 * * [simplify]: Extracting #11: cost 5 inf + 78534 361.746 * * [simplify]: Extracting #12: cost 0 inf + 84859 361.764 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 361.764 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 361.765 * * * * [progress]: [ 734 / 5906 ] simplifiying candidate # 361.765 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 361.765 * * [simplify]: iters left: 6 (51 enodes) 361.779 * * [simplify]: iters left: 5 (252 enodes) 361.838 * * [simplify]: Extracting #0: cost 1 inf + 0 361.838 * * [simplify]: Extracting #1: cost 3 inf + 0 361.838 * * [simplify]: Extracting #2: cost 10 inf + 0 361.838 * * [simplify]: Extracting #3: cost 63 inf + 0 361.839 * * [simplify]: Extracting #4: cost 118 inf + 42 361.839 * * [simplify]: Extracting #5: cost 161 inf + 249 361.840 * * [simplify]: Extracting #6: cost 228 inf + 1840 361.841 * * [simplify]: Extracting #7: cost 221 inf + 5166 361.844 * * [simplify]: Extracting #8: cost 163 inf + 15534 361.850 * * [simplify]: Extracting #9: cost 86 inf + 39722 361.864 * * [simplify]: Extracting #10: cost 29 inf + 70510 361.882 * * [simplify]: Extracting #11: cost 3 inf + 97200 361.903 * * [simplify]: Extracting #12: cost 1 inf + 100730 361.924 * * [simplify]: Extracting #13: cost 0 inf + 102515 361.945 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 361.945 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 361.946 * * * * [progress]: [ 735 / 5906 ] simplifiying candidate # 361.946 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 361.946 * * [simplify]: iters left: 6 (46 enodes) 361.961 * * [simplify]: iters left: 5 (224 enodes) 362.011 * * [simplify]: Extracting #0: cost 1 inf + 0 362.011 * * [simplify]: Extracting #1: cost 3 inf + 0 362.011 * * [simplify]: Extracting #2: cost 10 inf + 0 362.011 * * [simplify]: Extracting #3: cost 59 inf + 0 362.012 * * [simplify]: Extracting #4: cost 104 inf + 44 362.012 * * [simplify]: Extracting #5: cost 130 inf + 904 362.013 * * [simplify]: Extracting #6: cost 196 inf + 2932 362.014 * * [simplify]: Extracting #7: cost 199 inf + 3668 362.017 * * [simplify]: Extracting #8: cost 130 inf + 17180 362.024 * * [simplify]: Extracting #9: cost 60 inf + 43495 362.038 * * [simplify]: Extracting #10: cost 14 inf + 74391 362.057 * * [simplify]: Extracting #11: cost 0 inf + 82873 362.076 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 362.076 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 362.076 * * * * [progress]: [ 736 / 5906 ] simplifiying candidate # 362.077 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 362.077 * * [simplify]: iters left: 6 (51 enodes) 362.094 * * [simplify]: iters left: 5 (252 enodes) 362.152 * * [simplify]: Extracting #0: cost 1 inf + 0 362.152 * * [simplify]: Extracting #1: cost 3 inf + 0 362.152 * * [simplify]: Extracting #2: cost 10 inf + 0 362.152 * * [simplify]: Extracting #3: cost 63 inf + 0 362.153 * * [simplify]: Extracting #4: cost 118 inf + 42 362.153 * * [simplify]: Extracting #5: cost 161 inf + 248 362.154 * * [simplify]: Extracting #6: cost 225 inf + 2365 362.155 * * [simplify]: Extracting #7: cost 217 inf + 5973 362.158 * * [simplify]: Extracting #8: cost 162 inf + 14963 362.164 * * [simplify]: Extracting #9: cost 88 inf + 38474 362.176 * * [simplify]: Extracting #10: cost 29 inf + 71310 362.194 * * [simplify]: Extracting #11: cost 3 inf + 98000 362.215 * * [simplify]: Extracting #12: cost 1 inf + 101530 362.238 * * [simplify]: Extracting #13: cost 0 inf + 103315 362.259 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 362.259 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 362.260 * * * * [progress]: [ 737 / 5906 ] simplifiying candidate # 362.260 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 362.261 * * [simplify]: iters left: 6 (46 enodes) 362.273 * * [simplify]: iters left: 5 (224 enodes) 362.324 * * [simplify]: Extracting #0: cost 1 inf + 0 362.325 * * [simplify]: Extracting #1: cost 3 inf + 0 362.325 * * [simplify]: Extracting #2: cost 10 inf + 0 362.325 * * [simplify]: Extracting #3: cost 58 inf + 0 362.325 * * [simplify]: Extracting #4: cost 104 inf + 44 362.325 * * [simplify]: Extracting #5: cost 130 inf + 904 362.326 * * [simplify]: Extracting #6: cost 196 inf + 2932 362.327 * * [simplify]: Extracting #7: cost 200 inf + 3587 362.330 * * [simplify]: Extracting #8: cost 134 inf + 16209 362.337 * * [simplify]: Extracting #9: cost 58 inf + 44619 362.351 * * [simplify]: Extracting #10: cost 13 inf + 75336 362.368 * * [simplify]: Extracting #11: cost 0 inf + 83193 362.385 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 362.385 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 362.386 * * * * [progress]: [ 738 / 5906 ] simplifiying candidate # 362.386 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 362.386 * * [simplify]: iters left: 6 (47 enodes) 362.403 * * [simplify]: iters left: 5 (232 enodes) 362.458 * * [simplify]: Extracting #0: cost 1 inf + 0 362.458 * * [simplify]: Extracting #1: cost 3 inf + 0 362.458 * * [simplify]: Extracting #2: cost 6 inf + 0 362.458 * * [simplify]: Extracting #3: cost 54 inf + 0 362.458 * * [simplify]: Extracting #4: cost 120 inf + 0 362.459 * * [simplify]: Extracting #5: cost 192 inf + 0 362.459 * * [simplify]: Extracting #6: cost 260 inf + 1056 362.461 * * [simplify]: Extracting #7: cost 229 inf + 8739 362.464 * * [simplify]: Extracting #8: cost 136 inf + 25911 362.477 * * [simplify]: Extracting #9: cost 44 inf + 64517 362.495 * * [simplify]: Extracting #10: cost 5 inf + 99340 362.516 * * [simplify]: Extracting #11: cost 0 inf + 106225 362.537 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 362.537 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 362.538 * * * * [progress]: [ 739 / 5906 ] simplifiying candidate # 362.538 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 362.539 * * [simplify]: iters left: 6 (48 enodes) 362.552 * * [simplify]: iters left: 5 (241 enodes) 362.612 * * [simplify]: Extracting #0: cost 1 inf + 0 362.612 * * [simplify]: Extracting #1: cost 3 inf + 0 362.612 * * [simplify]: Extracting #2: cost 6 inf + 0 362.612 * * [simplify]: Extracting #3: cost 58 inf + 0 362.612 * * [simplify]: Extracting #4: cost 143 inf + 0 362.613 * * [simplify]: Extracting #5: cost 201 inf + 412 362.614 * * [simplify]: Extracting #6: cost 230 inf + 6338 362.617 * * [simplify]: Extracting #7: cost 214 inf + 11171 362.621 * * [simplify]: Extracting #8: cost 143 inf + 28677 362.634 * * [simplify]: Extracting #9: cost 43 inf + 75242 362.655 * * [simplify]: Extracting #10: cost 6 inf + 99499 362.676 * * [simplify]: Extracting #11: cost 0 inf + 104562 362.697 * * [simplify]: Extracting #12: cost 0 inf + 104402 362.718 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 362.718 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 362.718 * * * * [progress]: [ 740 / 5906 ] simplifiying candidate # 362.719 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 362.719 * * [simplify]: iters left: 6 (48 enodes) 362.734 * * [simplify]: iters left: 5 (241 enodes) 362.791 * * [simplify]: Extracting #0: cost 1 inf + 0 362.791 * * [simplify]: Extracting #1: cost 3 inf + 0 362.791 * * [simplify]: Extracting #2: cost 6 inf + 0 362.792 * * [simplify]: Extracting #3: cost 60 inf + 0 362.792 * * [simplify]: Extracting #4: cost 141 inf + 0 362.793 * * [simplify]: Extracting #5: cost 197 inf + 332 362.794 * * [simplify]: Extracting #6: cost 242 inf + 3669 362.796 * * [simplify]: Extracting #7: cost 219 inf + 10265 362.799 * * [simplify]: Extracting #8: cost 160 inf + 19828 362.806 * * [simplify]: Extracting #9: cost 89 inf + 47212 362.822 * * [simplify]: Extracting #10: cost 16 inf + 89815 362.846 * * [simplify]: Extracting #11: cost 0 inf + 104994 362.868 * * [simplify]: Extracting #12: cost 0 inf + 104714 362.890 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) 362.890 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 362.891 * * * * [progress]: [ 741 / 5906 ] simplifiying candidate # 362.891 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 362.891 * * [simplify]: iters left: 6 (42 enodes) 362.903 * * [simplify]: iters left: 5 (205 enodes) 362.952 * * [simplify]: Extracting #0: cost 1 inf + 0 362.952 * * [simplify]: Extracting #1: cost 3 inf + 0 362.952 * * [simplify]: Extracting #2: cost 6 inf + 0 362.952 * * [simplify]: Extracting #3: cost 52 inf + 0 362.953 * * [simplify]: Extracting #4: cost 109 inf + 0 362.953 * * [simplify]: Extracting #5: cost 149 inf + 85 362.954 * * [simplify]: Extracting #6: cost 204 inf + 1313 362.955 * * [simplify]: Extracting #7: cost 195 inf + 3955 362.958 * * [simplify]: Extracting #8: cost 121 inf + 18358 362.967 * * [simplify]: Extracting #9: cost 46 inf + 49493 362.982 * * [simplify]: Extracting #10: cost 9 inf + 75805 363.000 * * [simplify]: Extracting #11: cost 0 inf + 83013 363.018 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))) 363.018 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 363.019 * * * * [progress]: [ 742 / 5906 ] simplifiying candidate # 363.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 363.019 * * [simplify]: iters left: 6 (47 enodes) 363.037 * * [simplify]: iters left: 5 (233 enodes) 363.099 * * [simplify]: Extracting #0: cost 1 inf + 0 363.099 * * [simplify]: Extracting #1: cost 3 inf + 0 363.099 * * [simplify]: Extracting #2: cost 10 inf + 0 363.099 * * [simplify]: Extracting #3: cost 72 inf + 0 363.099 * * [simplify]: Extracting #4: cost 126 inf + 42 363.100 * * [simplify]: Extracting #5: cost 170 inf + 290 363.101 * * [simplify]: Extracting #6: cost 222 inf + 3091 363.102 * * [simplify]: Extracting #7: cost 207 inf + 7113 363.105 * * [simplify]: Extracting #8: cost 142 inf + 17585 363.114 * * [simplify]: Extracting #9: cost 88 inf + 39110 363.125 * * [simplify]: Extracting #10: cost 28 inf + 69724 363.143 * * [simplify]: Extracting #11: cost 3 inf + 92869 363.163 * * [simplify]: Extracting #12: cost 0 inf + 98184 363.183 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 363.183 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 363.184 * * * * [progress]: [ 743 / 5906 ] simplifiying candidate # 363.184 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 363.184 * * [simplify]: iters left: 6 (42 enodes) 363.196 * * [simplify]: iters left: 5 (205 enodes) 363.243 * * [simplify]: Extracting #0: cost 1 inf + 0 363.243 * * [simplify]: Extracting #1: cost 3 inf + 0 363.243 * * [simplify]: Extracting #2: cost 10 inf + 0 363.244 * * [simplify]: Extracting #3: cost 64 inf + 0 363.244 * * [simplify]: Extracting #4: cost 107 inf + 44 363.244 * * [simplify]: Extracting #5: cost 134 inf + 1228 363.245 * * [simplify]: Extracting #6: cost 192 inf + 2932 363.246 * * [simplify]: Extracting #7: cost 195 inf + 3790 363.249 * * [simplify]: Extracting #8: cost 135 inf + 13525 363.255 * * [simplify]: Extracting #9: cost 75 inf + 33897 363.268 * * [simplify]: Extracting #10: cost 11 inf + 71061 363.284 * * [simplify]: Extracting #11: cost 0 inf + 79263 363.302 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 363.302 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 363.303 * * * * [progress]: [ 744 / 5906 ] simplifiying candidate # 363.303 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 363.303 * * [simplify]: iters left: 6 (47 enodes) 363.317 * * [simplify]: iters left: 5 (233 enodes) 363.372 * * [simplify]: Extracting #0: cost 1 inf + 0 363.373 * * [simplify]: Extracting #1: cost 3 inf + 0 363.373 * * [simplify]: Extracting #2: cost 10 inf + 0 363.376 * * [simplify]: Extracting #3: cost 72 inf + 0 363.376 * * [simplify]: Extracting #4: cost 126 inf + 42 363.377 * * [simplify]: Extracting #5: cost 169 inf + 332 363.378 * * [simplify]: Extracting #6: cost 219 inf + 3617 363.380 * * [simplify]: Extracting #7: cost 206 inf + 7285 363.383 * * [simplify]: Extracting #8: cost 140 inf + 18671 363.389 * * [simplify]: Extracting #9: cost 89 inf + 38746 363.402 * * [simplify]: Extracting #10: cost 28 inf + 70684 363.421 * * [simplify]: Extracting #11: cost 3 inf + 93829 363.441 * * [simplify]: Extracting #12: cost 0 inf + 99144 363.461 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 363.461 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 363.461 * * * * [progress]: [ 745 / 5906 ] simplifiying candidate # 363.462 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 363.462 * * [simplify]: iters left: 6 (42 enodes) 363.476 * * [simplify]: iters left: 5 (205 enodes) 363.521 * * [simplify]: Extracting #0: cost 1 inf + 0 363.521 * * [simplify]: Extracting #1: cost 3 inf + 0 363.521 * * [simplify]: Extracting #2: cost 10 inf + 0 363.521 * * [simplify]: Extracting #3: cost 63 inf + 0 363.522 * * [simplify]: Extracting #4: cost 107 inf + 44 363.522 * * [simplify]: Extracting #5: cost 135 inf + 1106 363.523 * * [simplify]: Extracting #6: cost 192 inf + 2932 363.524 * * [simplify]: Extracting #7: cost 195 inf + 3790 363.526 * * [simplify]: Extracting #8: cost 134 inf + 13543 363.533 * * [simplify]: Extracting #9: cost 76 inf + 33685 363.546 * * [simplify]: Extracting #10: cost 11 inf + 71040 363.564 * * [simplify]: Extracting #11: cost 0 inf + 79663 363.580 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 363.580 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 363.581 * * * * [progress]: [ 746 / 5906 ] simplifiying candidate # 363.581 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 363.581 * * [simplify]: iters left: 6 (52 enodes) 363.595 * * [simplify]: iters left: 5 (254 enodes) 363.658 * * [simplify]: Extracting #0: cost 1 inf + 0 363.658 * * [simplify]: Extracting #1: cost 3 inf + 0 363.658 * * [simplify]: Extracting #2: cost 6 inf + 0 363.659 * * [simplify]: Extracting #3: cost 56 inf + 0 363.659 * * [simplify]: Extracting #4: cost 130 inf + 0 363.659 * * [simplify]: Extracting #5: cost 210 inf + 0 363.660 * * [simplify]: Extracting #6: cost 294 inf + 510 363.662 * * [simplify]: Extracting #7: cost 240 inf + 11154 363.666 * * [simplify]: Extracting #8: cost 171 inf + 21766 363.675 * * [simplify]: Extracting #9: cost 105 inf + 49609 363.688 * * [simplify]: Extracting #10: cost 47 inf + 74961 363.709 * * [simplify]: Extracting #11: cost 12 inf + 114876 363.738 * * [simplify]: Extracting #12: cost 1 inf + 127871 363.764 * * [simplify]: Extracting #13: cost 0 inf + 129976 363.790 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 363.791 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 363.791 * * * * [progress]: [ 747 / 5906 ] simplifiying candidate # 363.792 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 363.792 * * [simplify]: iters left: 6 (53 enodes) 363.806 * * [simplify]: iters left: 5 (263 enodes) 363.870 * * [simplify]: Extracting #0: cost 1 inf + 0 363.870 * * [simplify]: Extracting #1: cost 3 inf + 0 363.870 * * [simplify]: Extracting #2: cost 6 inf + 0 363.870 * * [simplify]: Extracting #3: cost 60 inf + 0 363.870 * * [simplify]: Extracting #4: cost 153 inf + 0 363.871 * * [simplify]: Extracting #5: cost 224 inf + 44 363.872 * * [simplify]: Extracting #6: cost 275 inf + 3672 363.874 * * [simplify]: Extracting #7: cost 234 inf + 10604 363.879 * * [simplify]: Extracting #8: cost 146 inf + 35951 363.896 * * [simplify]: Extracting #9: cost 26 inf + 114268 363.923 * * [simplify]: Extracting #10: cost 2 inf + 126246 363.949 * * [simplify]: Extracting #11: cost 0 inf + 128993 363.975 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 363.975 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 363.976 * * * * [progress]: [ 748 / 5906 ] simplifiying candidate # 363.976 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 363.976 * * [simplify]: iters left: 6 (53 enodes) 363.990 * * [simplify]: iters left: 5 (263 enodes) 364.055 * * [simplify]: Extracting #0: cost 1 inf + 0 364.056 * * [simplify]: Extracting #1: cost 3 inf + 0 364.056 * * [simplify]: Extracting #2: cost 6 inf + 0 364.056 * * [simplify]: Extracting #3: cost 62 inf + 0 364.056 * * [simplify]: Extracting #4: cost 151 inf + 0 364.057 * * [simplify]: Extracting #5: cost 220 inf + 44 364.058 * * [simplify]: Extracting #6: cost 271 inf + 3752 364.060 * * [simplify]: Extracting #7: cost 230 inf + 10603 364.064 * * [simplify]: Extracting #8: cost 178 inf + 20252 364.071 * * [simplify]: Extracting #9: cost 117 inf + 40595 364.084 * * [simplify]: Extracting #10: cost 60 inf + 68306 364.104 * * [simplify]: Extracting #11: cost 10 inf + 115015 364.129 * * [simplify]: Extracting #12: cost 0 inf + 126665 364.154 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 364.154 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 364.154 * * * * [progress]: [ 749 / 5906 ] simplifiying candidate # 364.155 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 364.155 * * [simplify]: iters left: 6 (47 enodes) 364.168 * * [simplify]: iters left: 5 (227 enodes) 364.220 * * [simplify]: Extracting #0: cost 1 inf + 0 364.220 * * [simplify]: Extracting #1: cost 3 inf + 0 364.220 * * [simplify]: Extracting #2: cost 6 inf + 0 364.220 * * [simplify]: Extracting #3: cost 54 inf + 0 364.220 * * [simplify]: Extracting #4: cost 119 inf + 0 364.221 * * [simplify]: Extracting #5: cost 168 inf + 44 364.222 * * [simplify]: Extracting #6: cost 236 inf + 1233 364.223 * * [simplify]: Extracting #7: cost 221 inf + 3915 364.227 * * [simplify]: Extracting #8: cost 134 inf + 23603 364.237 * * [simplify]: Extracting #9: cost 62 inf + 55374 364.255 * * [simplify]: Extracting #10: cost 9 inf + 95701 364.279 * * [simplify]: Extracting #11: cost 1 inf + 101819 364.300 * * [simplify]: Extracting #12: cost 0 inf + 102564 364.321 * * [simplify]: Extracting #13: cost 0 inf + 102524 364.343 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 364.343 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 364.344 * * * * [progress]: [ 750 / 5906 ] simplifiying candidate # 364.344 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 364.344 * * [simplify]: iters left: 6 (52 enodes) 364.360 * * [simplify]: iters left: 5 (255 enodes) 364.420 * * [simplify]: Extracting #0: cost 1 inf + 0 364.420 * * [simplify]: Extracting #1: cost 3 inf + 0 364.420 * * [simplify]: Extracting #2: cost 10 inf + 0 364.420 * * [simplify]: Extracting #3: cost 74 inf + 0 364.420 * * [simplify]: Extracting #4: cost 137 inf + 1 364.421 * * [simplify]: Extracting #5: cost 190 inf + 207 364.422 * * [simplify]: Extracting #6: cost 258 inf + 2323 364.423 * * [simplify]: Extracting #7: cost 238 inf + 6537 364.426 * * [simplify]: Extracting #8: cost 174 inf + 17888 364.432 * * [simplify]: Extracting #9: cost 114 inf + 38495 364.445 * * [simplify]: Extracting #10: cost 54 inf + 65745 364.464 * * [simplify]: Extracting #11: cost 9 inf + 108830 364.488 * * [simplify]: Extracting #12: cost 0 inf + 119775 364.512 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 364.512 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 364.513 * * * * [progress]: [ 751 / 5906 ] simplifiying candidate # 364.513 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 364.514 * * [simplify]: iters left: 6 (47 enodes) 364.527 * * [simplify]: iters left: 5 (227 enodes) 364.581 * * [simplify]: Extracting #0: cost 1 inf + 0 364.581 * * [simplify]: Extracting #1: cost 3 inf + 0 364.581 * * [simplify]: Extracting #2: cost 10 inf + 0 364.581 * * [simplify]: Extracting #3: cost 66 inf + 0 364.581 * * [simplify]: Extracting #4: cost 117 inf + 44 364.582 * * [simplify]: Extracting #5: cost 151 inf + 1510 364.583 * * [simplify]: Extracting #6: cost 223 inf + 2972 364.584 * * [simplify]: Extracting #7: cost 224 inf + 3627 364.588 * * [simplify]: Extracting #8: cost 142 inf + 23912 364.597 * * [simplify]: Extracting #9: cost 64 inf + 53383 364.614 * * [simplify]: Extracting #10: cost 11 inf + 90994 364.637 * * [simplify]: Extracting #11: cost 1 inf + 100949 364.658 * * [simplify]: Extracting #12: cost 0 inf + 102654 364.681 * * [simplify]: Extracting #13: cost 0 inf + 102494 364.702 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1)))) 364.702 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 364.703 * * * * [progress]: [ 752 / 5906 ] simplifiying candidate # 364.704 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 364.704 * * [simplify]: iters left: 6 (52 enodes) 364.718 * * [simplify]: iters left: 5 (255 enodes) 364.777 * * [simplify]: Extracting #0: cost 1 inf + 0 364.777 * * [simplify]: Extracting #1: cost 3 inf + 0 364.777 * * [simplify]: Extracting #2: cost 10 inf + 0 364.777 * * [simplify]: Extracting #3: cost 74 inf + 0 364.777 * * [simplify]: Extracting #4: cost 137 inf + 1 364.778 * * [simplify]: Extracting #5: cost 190 inf + 207 364.779 * * [simplify]: Extracting #6: cost 257 inf + 2483 364.780 * * [simplify]: Extracting #7: cost 234 inf + 7395 364.783 * * [simplify]: Extracting #8: cost 175 inf + 17636 364.789 * * [simplify]: Extracting #9: cost 113 inf + 40279 364.800 * * [simplify]: Extracting #10: cost 53 inf + 67570 364.824 * * [simplify]: Extracting #11: cost 9 inf + 109790 364.849 * * [simplify]: Extracting #12: cost 0 inf + 120735 364.874 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 364.874 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 364.875 * * * * [progress]: [ 753 / 5906 ] simplifiying candidate # 364.875 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 364.875 * * [simplify]: iters left: 6 (47 enodes) 364.888 * * [simplify]: iters left: 5 (227 enodes) 364.940 * * [simplify]: Extracting #0: cost 1 inf + 0 364.940 * * [simplify]: Extracting #1: cost 3 inf + 0 364.940 * * [simplify]: Extracting #2: cost 10 inf + 0 364.940 * * [simplify]: Extracting #3: cost 65 inf + 0 364.940 * * [simplify]: Extracting #4: cost 114 inf + 370 364.941 * * [simplify]: Extracting #5: cost 147 inf + 2078 364.942 * * [simplify]: Extracting #6: cost 223 inf + 2932 364.943 * * [simplify]: Extracting #7: cost 224 inf + 3547 364.946 * * [simplify]: Extracting #8: cost 144 inf + 19984 364.956 * * [simplify]: Extracting #9: cost 52 inf + 61931 364.974 * * [simplify]: Extracting #10: cost 5 inf + 95931 364.997 * * [simplify]: Extracting #11: cost 1 inf + 100189 365.019 * * [simplify]: Extracting #12: cost 0 inf + 102014 365.039 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 365.039 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 365.040 * * * * [progress]: [ 754 / 5906 ] simplifiying candidate # 365.040 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 365.040 * * [simplify]: iters left: 6 (52 enodes) 365.055 * * [simplify]: iters left: 5 (253 enodes) 365.116 * * [simplify]: Extracting #0: cost 1 inf + 0 365.116 * * [simplify]: Extracting #1: cost 3 inf + 0 365.116 * * [simplify]: Extracting #2: cost 6 inf + 0 365.116 * * [simplify]: Extracting #3: cost 56 inf + 0 365.117 * * [simplify]: Extracting #4: cost 130 inf + 0 365.117 * * [simplify]: Extracting #5: cost 210 inf + 0 365.119 * * [simplify]: Extracting #6: cost 278 inf + 1784 365.121 * * [simplify]: Extracting #7: cost 220 inf + 12712 365.127 * * [simplify]: Extracting #8: cost 123 inf + 40089 365.139 * * [simplify]: Extracting #9: cost 44 inf + 72439 365.160 * * [simplify]: Extracting #10: cost 4 inf + 119194 365.187 * * [simplify]: Extracting #11: cost 0 inf + 124494 365.212 * * [simplify]: Extracting #12: cost 0 inf + 124174 365.237 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 365.237 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 365.237 * * * * [progress]: [ 755 / 5906 ] simplifiying candidate # 365.238 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 365.238 * * [simplify]: iters left: 6 (53 enodes) 365.252 * * [simplify]: iters left: 5 (262 enodes) 365.315 * * [simplify]: Extracting #0: cost 1 inf + 0 365.315 * * [simplify]: Extracting #1: cost 3 inf + 0 365.315 * * [simplify]: Extracting #2: cost 6 inf + 0 365.315 * * [simplify]: Extracting #3: cost 60 inf + 0 365.316 * * [simplify]: Extracting #4: cost 153 inf + 0 365.316 * * [simplify]: Extracting #5: cost 223 inf + 85 365.318 * * [simplify]: Extracting #6: cost 254 inf + 5824 365.320 * * [simplify]: Extracting #7: cost 217 inf + 12526 365.326 * * [simplify]: Extracting #8: cost 147 inf + 31646 365.336 * * [simplify]: Extracting #9: cost 88 inf + 60223 365.353 * * [simplify]: Extracting #10: cost 46 inf + 77083 365.372 * * [simplify]: Extracting #11: cost 13 inf + 110426 365.397 * * [simplify]: Extracting #12: cost 0 inf + 125471 365.422 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 365.422 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 365.423 * * * * [progress]: [ 756 / 5906 ] simplifiying candidate # 365.423 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 365.423 * * [simplify]: iters left: 6 (53 enodes) 365.438 * * [simplify]: iters left: 5 (262 enodes) 365.499 * * [simplify]: Extracting #0: cost 1 inf + 0 365.499 * * [simplify]: Extracting #1: cost 3 inf + 0 365.499 * * [simplify]: Extracting #2: cost 6 inf + 0 365.499 * * [simplify]: Extracting #3: cost 62 inf + 0 365.500 * * [simplify]: Extracting #4: cost 151 inf + 0 365.500 * * [simplify]: Extracting #5: cost 220 inf + 44 365.502 * * [simplify]: Extracting #6: cost 253 inf + 5943 365.505 * * [simplify]: Extracting #7: cost 202 inf + 17361 365.511 * * [simplify]: Extracting #8: cost 142 inf + 36060 365.523 * * [simplify]: Extracting #9: cost 90 inf + 57305 365.535 * * [simplify]: Extracting #10: cost 48 inf + 73063 365.554 * * [simplify]: Extracting #11: cost 14 inf + 109033 365.579 * * [simplify]: Extracting #12: cost 0 inf + 124423 365.603 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 365.603 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 365.604 * * * * [progress]: [ 757 / 5906 ] simplifiying candidate # 365.604 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 365.604 * * [simplify]: iters left: 6 (47 enodes) 365.619 * * [simplify]: iters left: 5 (226 enodes) 365.669 * * [simplify]: Extracting #0: cost 1 inf + 0 365.669 * * [simplify]: Extracting #1: cost 3 inf + 0 365.669 * * [simplify]: Extracting #2: cost 6 inf + 0 365.669 * * [simplify]: Extracting #3: cost 54 inf + 0 365.670 * * [simplify]: Extracting #4: cost 119 inf + 0 365.670 * * [simplify]: Extracting #5: cost 169 inf + 2 365.671 * * [simplify]: Extracting #6: cost 235 inf + 946 365.672 * * [simplify]: Extracting #7: cost 211 inf + 4655 365.676 * * [simplify]: Extracting #8: cost 138 inf + 19200 365.685 * * [simplify]: Extracting #9: cost 64 inf + 49516 365.705 * * [simplify]: Extracting #10: cost 7 inf + 89747 365.723 * * [simplify]: Extracting #11: cost 1 inf + 96417 365.743 * * [simplify]: Extracting #12: cost 0 inf + 98242 365.763 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) 365.763 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 365.764 * * * * [progress]: [ 758 / 5906 ] simplifiying candidate # 365.764 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 365.764 * * [simplify]: iters left: 6 (52 enodes) 365.779 * * [simplify]: iters left: 5 (254 enodes) 365.839 * * [simplify]: Extracting #0: cost 1 inf + 0 365.839 * * [simplify]: Extracting #1: cost 3 inf + 0 365.839 * * [simplify]: Extracting #2: cost 10 inf + 0 365.840 * * [simplify]: Extracting #3: cost 74 inf + 0 365.840 * * [simplify]: Extracting #4: cost 137 inf + 1 365.840 * * [simplify]: Extracting #5: cost 190 inf + 207 365.841 * * [simplify]: Extracting #6: cost 245 inf + 3098 365.844 * * [simplify]: Extracting #7: cost 196 inf + 13396 365.850 * * [simplify]: Extracting #8: cost 118 inf + 36445 365.860 * * [simplify]: Extracting #9: cost 56 inf + 62874 365.881 * * [simplify]: Extracting #10: cost 10 inf + 103083 365.904 * * [simplify]: Extracting #11: cost 1 inf + 113028 365.928 * * [simplify]: Extracting #12: cost 0 inf + 115053 365.952 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) 365.952 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 365.953 * * * * [progress]: [ 759 / 5906 ] simplifiying candidate # 365.954 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 365.954 * * [simplify]: iters left: 6 (47 enodes) 365.970 * * [simplify]: iters left: 5 (226 enodes) 366.023 * * [simplify]: Extracting #0: cost 1 inf + 0 366.023 * * [simplify]: Extracting #1: cost 3 inf + 0 366.023 * * [simplify]: Extracting #2: cost 10 inf + 0 366.023 * * [simplify]: Extracting #3: cost 66 inf + 0 366.023 * * [simplify]: Extracting #4: cost 117 inf + 44 366.024 * * [simplify]: Extracting #5: cost 154 inf + 1144 366.025 * * [simplify]: Extracting #6: cost 217 inf + 3016 366.026 * * [simplify]: Extracting #7: cost 192 inf + 7051 366.031 * * [simplify]: Extracting #8: cost 111 inf + 30018 366.040 * * [simplify]: Extracting #9: cost 56 inf + 54438 366.055 * * [simplify]: Extracting #10: cost 8 inf + 87252 366.077 * * [simplify]: Extracting #11: cost 0 inf + 97492 366.096 * * [simplify]: Extracting #12: cost 0 inf + 97012 366.115 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) 366.115 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 366.116 * * * * [progress]: [ 760 / 5906 ] simplifiying candidate # 366.116 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 366.116 * * [simplify]: iters left: 6 (52 enodes) 366.131 * * [simplify]: iters left: 5 (254 enodes) 366.190 * * [simplify]: Extracting #0: cost 1 inf + 0 366.190 * * [simplify]: Extracting #1: cost 3 inf + 0 366.190 * * [simplify]: Extracting #2: cost 10 inf + 0 366.190 * * [simplify]: Extracting #3: cost 74 inf + 0 366.191 * * [simplify]: Extracting #4: cost 137 inf + 1 366.191 * * [simplify]: Extracting #5: cost 190 inf + 207 366.192 * * [simplify]: Extracting #6: cost 248 inf + 2494 366.194 * * [simplify]: Extracting #7: cost 198 inf + 12751 366.200 * * [simplify]: Extracting #8: cost 116 inf + 38463 366.210 * * [simplify]: Extracting #9: cost 57 inf + 63409 366.228 * * [simplify]: Extracting #10: cost 10 inf + 104043 366.253 * * [simplify]: Extracting #11: cost 1 inf + 113988 366.277 * * [simplify]: Extracting #12: cost 0 inf + 116013 366.303 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) 366.303 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 366.303 * * * * [progress]: [ 761 / 5906 ] simplifiying candidate # 366.304 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 366.304 * * [simplify]: iters left: 6 (47 enodes) 366.317 * * [simplify]: iters left: 5 (226 enodes) 366.368 * * [simplify]: Extracting #0: cost 1 inf + 0 366.368 * * [simplify]: Extracting #1: cost 3 inf + 0 366.368 * * [simplify]: Extracting #2: cost 10 inf + 0 366.368 * * [simplify]: Extracting #3: cost 65 inf + 0 366.369 * * [simplify]: Extracting #4: cost 116 inf + 86 366.369 * * [simplify]: Extracting #5: cost 150 inf + 1512 366.370 * * [simplify]: Extracting #6: cost 217 inf + 2976 366.372 * * [simplify]: Extracting #7: cost 196 inf + 6482 366.377 * * [simplify]: Extracting #8: cost 104 inf + 33005 366.386 * * [simplify]: Extracting #9: cost 48 inf + 58278 366.402 * * [simplify]: Extracting #10: cost 8 inf + 87652 366.424 * * [simplify]: Extracting #11: cost 0 inf + 97892 366.444 * * [simplify]: Extracting #12: cost 0 inf + 97412 366.463 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) 366.463 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 366.464 * * * * [progress]: [ 762 / 5906 ] simplifiying candidate # 366.464 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 366.464 * * [simplify]: iters left: 6 (52 enodes) 366.478 * * [simplify]: iters left: 5 (254 enodes) 366.538 * * [simplify]: Extracting #0: cost 1 inf + 0 366.538 * * [simplify]: Extracting #1: cost 3 inf + 0 366.538 * * [simplify]: Extracting #2: cost 6 inf + 0 366.538 * * [simplify]: Extracting #3: cost 56 inf + 0 366.538 * * [simplify]: Extracting #4: cost 130 inf + 0 366.539 * * [simplify]: Extracting #5: cost 210 inf + 0 366.539 * * [simplify]: Extracting #6: cost 293 inf + 722 366.541 * * [simplify]: Extracting #7: cost 242 inf + 10699 366.545 * * [simplify]: Extracting #8: cost 157 inf + 25677 366.556 * * [simplify]: Extracting #9: cost 63 inf + 64382 366.576 * * [simplify]: Extracting #10: cost 12 inf + 114036 366.603 * * [simplify]: Extracting #11: cost 1 inf + 126831 366.628 * * [simplify]: Extracting #12: cost 0 inf + 128896 366.654 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 366.654 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 366.655 * * * * [progress]: [ 763 / 5906 ] simplifiying candidate # 366.655 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 366.656 * * [simplify]: iters left: 6 (53 enodes) 366.670 * * [simplify]: iters left: 5 (263 enodes) 366.735 * * [simplify]: Extracting #0: cost 1 inf + 0 366.735 * * [simplify]: Extracting #1: cost 3 inf + 0 366.735 * * [simplify]: Extracting #2: cost 6 inf + 0 366.735 * * [simplify]: Extracting #3: cost 60 inf + 0 366.736 * * [simplify]: Extracting #4: cost 153 inf + 0 366.736 * * [simplify]: Extracting #5: cost 224 inf + 44 366.738 * * [simplify]: Extracting #6: cost 275 inf + 3753 366.740 * * [simplify]: Extracting #7: cost 234 inf + 11145 366.745 * * [simplify]: Extracting #8: cost 155 inf + 28683 366.757 * * [simplify]: Extracting #9: cost 50 inf + 76123 366.781 * * [simplify]: Extracting #10: cost 7 inf + 119098 366.806 * * [simplify]: Extracting #11: cost 0 inf + 129313 366.831 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 366.832 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 366.832 * * * * [progress]: [ 764 / 5906 ] simplifiying candidate # 366.832 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 366.833 * * [simplify]: iters left: 6 (53 enodes) 366.853 * * [simplify]: iters left: 5 (263 enodes) 366.917 * * [simplify]: Extracting #0: cost 1 inf + 0 366.917 * * [simplify]: Extracting #1: cost 3 inf + 0 366.917 * * [simplify]: Extracting #2: cost 6 inf + 0 366.917 * * [simplify]: Extracting #3: cost 62 inf + 0 366.918 * * [simplify]: Extracting #4: cost 151 inf + 0 366.918 * * [simplify]: Extracting #5: cost 220 inf + 44 366.920 * * [simplify]: Extracting #6: cost 272 inf + 3910 366.923 * * [simplify]: Extracting #7: cost 224 inf + 12575 366.926 * * [simplify]: Extracting #8: cost 175 inf + 20909 366.933 * * [simplify]: Extracting #9: cost 118 inf + 40471 366.947 * * [simplify]: Extracting #10: cost 62 inf + 67736 366.967 * * [simplify]: Extracting #11: cost 11 inf + 113190 366.992 * * [simplify]: Extracting #12: cost 0 inf + 126985 367.017 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 367.017 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 367.018 * * * * [progress]: [ 765 / 5906 ] simplifiying candidate # 367.018 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 367.018 * * [simplify]: iters left: 6 (47 enodes) 367.031 * * [simplify]: iters left: 5 (227 enodes) 367.082 * * [simplify]: Extracting #0: cost 1 inf + 0 367.082 * * [simplify]: Extracting #1: cost 3 inf + 0 367.082 * * [simplify]: Extracting #2: cost 6 inf + 0 367.082 * * [simplify]: Extracting #3: cost 54 inf + 0 367.082 * * [simplify]: Extracting #4: cost 119 inf + 0 367.083 * * [simplify]: Extracting #5: cost 168 inf + 44 367.084 * * [simplify]: Extracting #6: cost 236 inf + 1233 367.085 * * [simplify]: Extracting #7: cost 222 inf + 3995 367.089 * * [simplify]: Extracting #8: cost 136 inf + 22473 367.097 * * [simplify]: Extracting #9: cost 62 inf + 55126 367.114 * * [simplify]: Extracting #10: cost 9 inf + 96565 367.136 * * [simplify]: Extracting #11: cost 1 inf + 101979 367.158 * * [simplify]: Extracting #12: cost 0 inf + 102804 367.178 * * [simplify]: Extracting #13: cost 0 inf + 102764 367.198 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 367.198 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 367.199 * * * * [progress]: [ 766 / 5906 ] simplifiying candidate # 367.199 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 367.199 * * [simplify]: iters left: 6 (52 enodes) 367.213 * * [simplify]: iters left: 5 (255 enodes) 367.272 * * [simplify]: Extracting #0: cost 1 inf + 0 367.272 * * [simplify]: Extracting #1: cost 3 inf + 0 367.272 * * [simplify]: Extracting #2: cost 10 inf + 0 367.272 * * [simplify]: Extracting #3: cost 74 inf + 0 367.272 * * [simplify]: Extracting #4: cost 137 inf + 1 367.273 * * [simplify]: Extracting #5: cost 190 inf + 207 367.274 * * [simplify]: Extracting #6: cost 258 inf + 2323 367.275 * * [simplify]: Extracting #7: cost 237 inf + 7000 367.278 * * [simplify]: Extracting #8: cost 173 inf + 17488 367.284 * * [simplify]: Extracting #9: cost 109 inf + 41016 367.298 * * [simplify]: Extracting #10: cost 52 inf + 66835 367.317 * * [simplify]: Extracting #11: cost 10 inf + 107085 367.340 * * [simplify]: Extracting #12: cost 1 inf + 118030 367.364 * * [simplify]: Extracting #13: cost 0 inf + 120095 367.388 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 367.388 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 367.389 * * * * [progress]: [ 767 / 5906 ] simplifiying candidate # 367.389 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 367.390 * * [simplify]: iters left: 6 (47 enodes) 367.404 * * [simplify]: iters left: 5 (227 enodes) 367.456 * * [simplify]: Extracting #0: cost 1 inf + 0 367.456 * * [simplify]: Extracting #1: cost 3 inf + 0 367.456 * * [simplify]: Extracting #2: cost 10 inf + 0 367.456 * * [simplify]: Extracting #3: cost 66 inf + 0 367.456 * * [simplify]: Extracting #4: cost 117 inf + 44 367.457 * * [simplify]: Extracting #5: cost 151 inf + 1510 367.458 * * [simplify]: Extracting #6: cost 223 inf + 2972 367.459 * * [simplify]: Extracting #7: cost 222 inf + 3709 367.463 * * [simplify]: Extracting #8: cost 141 inf + 24557 367.472 * * [simplify]: Extracting #9: cost 67 inf + 52228 367.490 * * [simplify]: Extracting #10: cost 11 inf + 90674 367.510 * * [simplify]: Extracting #11: cost 1 inf + 100429 367.531 * * [simplify]: Extracting #12: cost 0 inf + 102094 367.551 * * [simplify]: Extracting #13: cost 0 inf + 101934 367.571 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1)))) 367.571 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 367.572 * * * * [progress]: [ 768 / 5906 ] simplifiying candidate # 367.572 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 367.573 * * [simplify]: iters left: 6 (52 enodes) 367.588 * * [simplify]: iters left: 5 (255 enodes) 367.648 * * [simplify]: Extracting #0: cost 1 inf + 0 367.648 * * [simplify]: Extracting #1: cost 3 inf + 0 367.648 * * [simplify]: Extracting #2: cost 10 inf + 0 367.649 * * [simplify]: Extracting #3: cost 74 inf + 0 367.649 * * [simplify]: Extracting #4: cost 137 inf + 1 367.649 * * [simplify]: Extracting #5: cost 190 inf + 207 367.650 * * [simplify]: Extracting #6: cost 258 inf + 2321 367.652 * * [simplify]: Extracting #7: cost 233 inf + 7818 367.655 * * [simplify]: Extracting #8: cost 176 inf + 16862 367.663 * * [simplify]: Extracting #9: cost 111 inf + 40945 367.674 * * [simplify]: Extracting #10: cost 52 inf + 67795 367.693 * * [simplify]: Extracting #11: cost 10 inf + 108045 367.716 * * [simplify]: Extracting #12: cost 1 inf + 118990 367.740 * * [simplify]: Extracting #13: cost 0 inf + 121055 367.766 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 367.766 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 367.767 * * * * [progress]: [ 769 / 5906 ] simplifiying candidate # 367.767 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 367.767 * * [simplify]: iters left: 6 (47 enodes) 367.780 * * [simplify]: iters left: 5 (227 enodes) 367.830 * * [simplify]: Extracting #0: cost 1 inf + 0 367.830 * * [simplify]: Extracting #1: cost 3 inf + 0 367.830 * * [simplify]: Extracting #2: cost 10 inf + 0 367.830 * * [simplify]: Extracting #3: cost 65 inf + 0 367.830 * * [simplify]: Extracting #4: cost 114 inf + 370 367.831 * * [simplify]: Extracting #5: cost 147 inf + 2078 367.832 * * [simplify]: Extracting #6: cost 223 inf + 2932 367.833 * * [simplify]: Extracting #7: cost 223 inf + 3547 367.835 * * [simplify]: Extracting #8: cost 170 inf + 12818 367.843 * * [simplify]: Extracting #9: cost 103 inf + 36564 367.855 * * [simplify]: Extracting #10: cost 31 inf + 71121 367.872 * * [simplify]: Extracting #11: cost 4 inf + 95274 367.891 * * [simplify]: Extracting #12: cost 1 inf + 99869 367.911 * * [simplify]: Extracting #13: cost 0 inf + 101654 367.931 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 367.931 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 367.932 * * * * [progress]: [ 770 / 5906 ] simplifiying candidate # 367.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 367.932 * * [simplify]: iters left: 6 (52 enodes) 367.947 * * [simplify]: iters left: 5 (254 enodes) 368.007 * * [simplify]: Extracting #0: cost 1 inf + 0 368.007 * * [simplify]: Extracting #1: cost 3 inf + 0 368.007 * * [simplify]: Extracting #2: cost 6 inf + 0 368.007 * * [simplify]: Extracting #3: cost 56 inf + 0 368.007 * * [simplify]: Extracting #4: cost 130 inf + 0 368.008 * * [simplify]: Extracting #5: cost 210 inf + 0 368.009 * * [simplify]: Extracting #6: cost 281 inf + 1579 368.013 * * [simplify]: Extracting #7: cost 218 inf + 12456 368.018 * * [simplify]: Extracting #8: cost 143 inf + 34011 368.027 * * [simplify]: Extracting #9: cost 98 inf + 52227 368.039 * * [simplify]: Extracting #10: cost 56 inf + 66218 368.053 * * [simplify]: Extracting #11: cost 38 inf + 77706 368.074 * * [simplify]: Extracting #12: cost 7 inf + 115801 368.100 * * [simplify]: Extracting #13: cost 1 inf + 125191 368.126 * * [simplify]: Extracting #14: cost 0 inf + 127336 368.152 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 368.152 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 368.153 * * * * [progress]: [ 771 / 5906 ] simplifiying candidate # 368.153 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 368.153 * * [simplify]: iters left: 6 (53 enodes) 368.167 * * [simplify]: iters left: 5 (263 enodes) 368.231 * * [simplify]: Extracting #0: cost 1 inf + 0 368.231 * * [simplify]: Extracting #1: cost 3 inf + 0 368.231 * * [simplify]: Extracting #2: cost 6 inf + 0 368.231 * * [simplify]: Extracting #3: cost 60 inf + 0 368.231 * * [simplify]: Extracting #4: cost 153 inf + 0 368.232 * * [simplify]: Extracting #5: cost 224 inf + 44 368.233 * * [simplify]: Extracting #6: cost 259 inf + 4977 368.236 * * [simplify]: Extracting #7: cost 215 inf + 13677 368.243 * * [simplify]: Extracting #8: cost 123 inf + 43609 368.256 * * [simplify]: Extracting #9: cost 40 inf + 80433 368.276 * * [simplify]: Extracting #10: cost 8 inf + 113393 368.304 * * [simplify]: Extracting #11: cost 0 inf + 124393 368.331 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 368.331 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 368.331 * * * * [progress]: [ 772 / 5906 ] simplifiying candidate # 368.332 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 368.332 * * [simplify]: iters left: 6 (53 enodes) 368.347 * * [simplify]: iters left: 5 (263 enodes) 368.409 * * [simplify]: Extracting #0: cost 1 inf + 0 368.409 * * [simplify]: Extracting #1: cost 3 inf + 0 368.409 * * [simplify]: Extracting #2: cost 6 inf + 0 368.409 * * [simplify]: Extracting #3: cost 62 inf + 0 368.409 * * [simplify]: Extracting #4: cost 151 inf + 0 368.410 * * [simplify]: Extracting #5: cost 220 inf + 44 368.411 * * [simplify]: Extracting #6: cost 255 inf + 5219 368.414 * * [simplify]: Extracting #7: cost 202 inf + 16609 368.420 * * [simplify]: Extracting #8: cost 151 inf + 29712 368.428 * * [simplify]: Extracting #9: cost 97 inf + 53088 368.441 * * [simplify]: Extracting #10: cost 44 inf + 77525 368.463 * * [simplify]: Extracting #11: cost 9 inf + 110120 368.486 * * [simplify]: Extracting #12: cost 0 inf + 121985 368.510 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 368.510 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 368.511 * * * * [progress]: [ 773 / 5906 ] simplifiying candidate # 368.511 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 368.511 * * [simplify]: iters left: 6 (47 enodes) 368.524 * * [simplify]: iters left: 5 (227 enodes) 368.575 * * [simplify]: Extracting #0: cost 1 inf + 0 368.575 * * [simplify]: Extracting #1: cost 3 inf + 0 368.575 * * [simplify]: Extracting #2: cost 6 inf + 0 368.575 * * [simplify]: Extracting #3: cost 54 inf + 0 368.576 * * [simplify]: Extracting #4: cost 119 inf + 0 368.576 * * [simplify]: Extracting #5: cost 168 inf + 44 368.577 * * [simplify]: Extracting #6: cost 232 inf + 1235 368.578 * * [simplify]: Extracting #7: cost 211 inf + 4777 368.582 * * [simplify]: Extracting #8: cost 126 inf + 24253 368.591 * * [simplify]: Extracting #9: cost 60 inf + 53314 368.607 * * [simplify]: Extracting #10: cost 9 inf + 89899 368.630 * * [simplify]: Extracting #11: cost 1 inf + 98299 368.651 * * [simplify]: Extracting #12: cost 0 inf + 99924 368.671 * * [simplify]: Extracting #13: cost 0 inf + 99884 368.691 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 368.691 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 368.692 * * * * [progress]: [ 774 / 5906 ] simplifiying candidate # 368.692 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 368.693 * * [simplify]: iters left: 6 (52 enodes) 368.706 * * [simplify]: iters left: 5 (255 enodes) 368.765 * * [simplify]: Extracting #0: cost 1 inf + 0 368.765 * * [simplify]: Extracting #1: cost 3 inf + 0 368.765 * * [simplify]: Extracting #2: cost 10 inf + 0 368.765 * * [simplify]: Extracting #3: cost 74 inf + 0 368.765 * * [simplify]: Extracting #4: cost 137 inf + 1 368.766 * * [simplify]: Extracting #5: cost 190 inf + 207 368.767 * * [simplify]: Extracting #6: cost 247 inf + 2818 368.769 * * [simplify]: Extracting #7: cost 202 inf + 12225 368.774 * * [simplify]: Extracting #8: cost 144 inf + 28227 368.781 * * [simplify]: Extracting #9: cost 100 inf + 46750 368.791 * * [simplify]: Extracting #10: cost 53 inf + 63970 368.812 * * [simplify]: Extracting #11: cost 9 inf + 105310 368.835 * * [simplify]: Extracting #12: cost 1 inf + 113190 368.859 * * [simplify]: Extracting #13: cost 0 inf + 115255 368.883 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 368.883 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 368.883 * * * * [progress]: [ 775 / 5906 ] simplifiying candidate # 368.883 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 368.884 * * [simplify]: iters left: 6 (47 enodes) 368.897 * * [simplify]: iters left: 5 (227 enodes) 368.949 * * [simplify]: Extracting #0: cost 1 inf + 0 368.949 * * [simplify]: Extracting #1: cost 3 inf + 0 368.949 * * [simplify]: Extracting #2: cost 10 inf + 0 368.949 * * [simplify]: Extracting #3: cost 66 inf + 0 368.950 * * [simplify]: Extracting #4: cost 117 inf + 44 368.950 * * [simplify]: Extracting #5: cost 151 inf + 1510 368.951 * * [simplify]: Extracting #6: cost 218 inf + 3016 368.953 * * [simplify]: Extracting #7: cost 190 inf + 7661 368.958 * * [simplify]: Extracting #8: cost 114 inf + 29587 368.970 * * [simplify]: Extracting #9: cost 44 inf + 61593 368.988 * * [simplify]: Extracting #10: cost 7 inf + 89147 369.007 * * [simplify]: Extracting #11: cost 1 inf + 94629 369.026 * * [simplify]: Extracting #12: cost 0 inf + 96414 369.045 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 369.045 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 369.045 * * * * [progress]: [ 776 / 5906 ] simplifiying candidate # 369.046 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 369.046 * * [simplify]: iters left: 6 (52 enodes) 369.060 * * [simplify]: iters left: 5 (255 enodes) 369.119 * * [simplify]: Extracting #0: cost 1 inf + 0 369.119 * * [simplify]: Extracting #1: cost 3 inf + 0 369.119 * * [simplify]: Extracting #2: cost 10 inf + 0 369.119 * * [simplify]: Extracting #3: cost 74 inf + 0 369.119 * * [simplify]: Extracting #4: cost 137 inf + 1 369.120 * * [simplify]: Extracting #5: cost 190 inf + 207 369.120 * * [simplify]: Extracting #6: cost 247 inf + 2816 369.123 * * [simplify]: Extracting #7: cost 198 inf + 12630 369.128 * * [simplify]: Extracting #8: cost 144 inf + 29389 369.135 * * [simplify]: Extracting #9: cost 100 inf + 47589 369.146 * * [simplify]: Extracting #10: cost 54 inf + 64665 369.167 * * [simplify]: Extracting #11: cost 9 inf + 106350 369.190 * * [simplify]: Extracting #12: cost 1 inf + 114590 369.215 * * [simplify]: Extracting #13: cost 0 inf + 116215 369.239 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 369.239 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 369.240 * * * * [progress]: [ 777 / 5906 ] simplifiying candidate # 369.240 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 369.240 * * [simplify]: iters left: 6 (47 enodes) 369.254 * * [simplify]: iters left: 5 (227 enodes) 369.307 * * [simplify]: Extracting #0: cost 1 inf + 0 369.307 * * [simplify]: Extracting #1: cost 3 inf + 0 369.307 * * [simplify]: Extracting #2: cost 10 inf + 0 369.307 * * [simplify]: Extracting #3: cost 65 inf + 0 369.307 * * [simplify]: Extracting #4: cost 117 inf + 44 369.308 * * [simplify]: Extracting #5: cost 158 inf + 496 369.308 * * [simplify]: Extracting #6: cost 219 inf + 2814 369.310 * * [simplify]: Extracting #7: cost 189 inf + 8105 369.314 * * [simplify]: Extracting #8: cost 138 inf + 23026 369.321 * * [simplify]: Extracting #9: cost 91 inf + 41225 369.331 * * [simplify]: Extracting #10: cost 31 inf + 66185 369.350 * * [simplify]: Extracting #11: cost 4 inf + 90434 369.369 * * [simplify]: Extracting #12: cost 1 inf + 95029 369.388 * * [simplify]: Extracting #13: cost 0 inf + 96814 369.407 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 369.407 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 369.407 * * * * [progress]: [ 778 / 5906 ] simplifiying candidate # 369.408 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 369.408 * * [simplify]: iters left: 6 (52 enodes) 369.422 * * [simplify]: iters left: 5 (254 enodes) 369.483 * * [simplify]: Extracting #0: cost 1 inf + 0 369.483 * * [simplify]: Extracting #1: cost 3 inf + 0 369.483 * * [simplify]: Extracting #2: cost 6 inf + 0 369.483 * * [simplify]: Extracting #3: cost 56 inf + 0 369.483 * * [simplify]: Extracting #4: cost 130 inf + 0 369.484 * * [simplify]: Extracting #5: cost 215 inf + 0 369.485 * * [simplify]: Extracting #6: cost 312 inf + 681 369.487 * * [simplify]: Extracting #7: cost 268 inf + 8619 369.491 * * [simplify]: Extracting #8: cost 171 inf + 29318 369.501 * * [simplify]: Extracting #9: cost 98 inf + 53225 369.516 * * [simplify]: Extracting #10: cost 51 inf + 74850 369.536 * * [simplify]: Extracting #11: cost 14 inf + 111255 369.561 * * [simplify]: Extracting #12: cost 1 inf + 126940 369.587 * * [simplify]: Extracting #13: cost 0 inf + 128965 369.614 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 369.615 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 369.615 * * * * [progress]: [ 779 / 5906 ] simplifiying candidate # 369.615 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 369.616 * * [simplify]: iters left: 6 (53 enodes) 369.631 * * [simplify]: iters left: 5 (263 enodes) 369.695 * * [simplify]: Extracting #0: cost 1 inf + 0 369.695 * * [simplify]: Extracting #1: cost 3 inf + 0 369.695 * * [simplify]: Extracting #2: cost 6 inf + 0 369.696 * * [simplify]: Extracting #3: cost 60 inf + 0 369.696 * * [simplify]: Extracting #4: cost 153 inf + 0 369.696 * * [simplify]: Extracting #5: cost 229 inf + 44 369.698 * * [simplify]: Extracting #6: cost 287 inf + 4603 369.700 * * [simplify]: Extracting #7: cost 254 inf + 11784 369.705 * * [simplify]: Extracting #8: cost 162 inf + 33965 369.717 * * [simplify]: Extracting #9: cost 65 inf + 70402 369.739 * * [simplify]: Extracting #10: cost 8 inf + 122342 369.765 * * [simplify]: Extracting #11: cost 0 inf + 131982 369.797 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 369.797 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 369.798 * * * * [progress]: [ 780 / 5906 ] simplifiying candidate # 369.798 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 369.798 * * [simplify]: iters left: 6 (53 enodes) 369.813 * * [simplify]: iters left: 5 (263 enodes) 369.879 * * [simplify]: Extracting #0: cost 1 inf + 0 369.879 * * [simplify]: Extracting #1: cost 3 inf + 0 369.879 * * [simplify]: Extracting #2: cost 6 inf + 0 369.879 * * [simplify]: Extracting #3: cost 62 inf + 0 369.880 * * [simplify]: Extracting #4: cost 151 inf + 0 369.881 * * [simplify]: Extracting #5: cost 225 inf + 44 369.883 * * [simplify]: Extracting #6: cost 280 inf + 5489 369.887 * * [simplify]: Extracting #7: cost 254 inf + 12487 369.893 * * [simplify]: Extracting #8: cost 169 inf + 32297 369.906 * * [simplify]: Extracting #9: cost 68 inf + 68362 369.919 * * [simplify]: Extracting #10: cost 48 inf + 79894 369.942 * * [simplify]: Extracting #11: cost 6 inf + 123104 369.969 * * [simplify]: Extracting #12: cost 0 inf + 129574 369.996 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 369.996 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 369.996 * * * * [progress]: [ 781 / 5906 ] simplifiying candidate # 369.997 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 369.997 * * [simplify]: iters left: 6 (47 enodes) 370.010 * * [simplify]: iters left: 5 (227 enodes) 370.062 * * [simplify]: Extracting #0: cost 1 inf + 0 370.063 * * [simplify]: Extracting #1: cost 3 inf + 0 370.063 * * [simplify]: Extracting #2: cost 6 inf + 0 370.063 * * [simplify]: Extracting #3: cost 54 inf + 0 370.063 * * [simplify]: Extracting #4: cost 119 inf + 0 370.063 * * [simplify]: Extracting #5: cost 173 inf + 44 370.064 * * [simplify]: Extracting #6: cost 252 inf + 1476 370.065 * * [simplify]: Extracting #7: cost 242 inf + 3631 370.069 * * [simplify]: Extracting #8: cost 150 inf + 23031 370.077 * * [simplify]: Extracting #9: cost 79 inf + 47633 370.094 * * [simplify]: Extracting #10: cost 19 inf + 91801 370.115 * * [simplify]: Extracting #11: cost 3 inf + 105840 370.138 * * [simplify]: Extracting #12: cost 0 inf + 108433 370.162 * * [simplify]: Extracting #13: cost 0 inf + 107993 370.183 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 370.183 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 370.184 * * * * [progress]: [ 782 / 5906 ] simplifiying candidate # 370.184 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 370.185 * * [simplify]: iters left: 6 (52 enodes) 370.199 * * [simplify]: iters left: 5 (255 enodes) 370.263 * * [simplify]: Extracting #0: cost 1 inf + 0 370.263 * * [simplify]: Extracting #1: cost 3 inf + 0 370.263 * * [simplify]: Extracting #2: cost 10 inf + 0 370.263 * * [simplify]: Extracting #3: cost 74 inf + 0 370.263 * * [simplify]: Extracting #4: cost 137 inf + 1 370.264 * * [simplify]: Extracting #5: cost 194 inf + 248 370.265 * * [simplify]: Extracting #6: cost 279 inf + 1557 370.266 * * [simplify]: Extracting #7: cost 257 inf + 6486 370.269 * * [simplify]: Extracting #8: cost 182 inf + 21793 370.275 * * [simplify]: Extracting #9: cost 120 inf + 38820 370.286 * * [simplify]: Extracting #10: cost 60 inf + 66247 370.306 * * [simplify]: Extracting #11: cost 10 inf + 111434 370.334 * * [simplify]: Extracting #12: cost 1 inf + 120539 370.359 * * [simplify]: Extracting #13: cost 0 inf + 122564 370.385 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 370.385 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 370.386 * * * * [progress]: [ 783 / 5906 ] simplifiying candidate # 370.386 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 370.386 * * [simplify]: iters left: 6 (47 enodes) 370.399 * * [simplify]: iters left: 5 (227 enodes) 370.451 * * [simplify]: Extracting #0: cost 1 inf + 0 370.451 * * [simplify]: Extracting #1: cost 3 inf + 0 370.451 * * [simplify]: Extracting #2: cost 10 inf + 0 370.451 * * [simplify]: Extracting #3: cost 66 inf + 0 370.451 * * [simplify]: Extracting #4: cost 117 inf + 44 370.452 * * [simplify]: Extracting #5: cost 158 inf + 1186 370.453 * * [simplify]: Extracting #6: cost 241 inf + 2972 370.454 * * [simplify]: Extracting #7: cost 242 inf + 3586 370.458 * * [simplify]: Extracting #8: cost 139 inf + 26408 370.468 * * [simplify]: Extracting #9: cost 62 inf + 56742 370.484 * * [simplify]: Extracting #10: cost 13 inf + 92824 370.506 * * [simplify]: Extracting #11: cost 1 inf + 103458 370.531 * * [simplify]: Extracting #12: cost 0 inf + 105203 370.553 * * [simplify]: Extracting #13: cost 0 inf + 105083 370.580 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))))) 370.580 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 370.581 * * * * [progress]: [ 784 / 5906 ] simplifiying candidate # 370.581 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 370.582 * * [simplify]: iters left: 6 (52 enodes) 370.598 * * [simplify]: iters left: 5 (255 enodes) 370.657 * * [simplify]: Extracting #0: cost 1 inf + 0 370.657 * * [simplify]: Extracting #1: cost 3 inf + 0 370.657 * * [simplify]: Extracting #2: cost 10 inf + 0 370.657 * * [simplify]: Extracting #3: cost 74 inf + 0 370.657 * * [simplify]: Extracting #4: cost 137 inf + 1 370.658 * * [simplify]: Extracting #5: cost 194 inf + 248 370.659 * * [simplify]: Extracting #6: cost 280 inf + 1395 370.661 * * [simplify]: Extracting #7: cost 257 inf + 6657 370.663 * * [simplify]: Extracting #8: cost 184 inf + 20916 370.669 * * [simplify]: Extracting #9: cost 119 inf + 39354 370.680 * * [simplify]: Extracting #10: cost 59 inf + 67552 370.703 * * [simplify]: Extracting #11: cost 10 inf + 112554 370.727 * * [simplify]: Extracting #12: cost 1 inf + 121659 370.753 * * [simplify]: Extracting #13: cost 0 inf + 123684 370.778 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 370.778 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 370.779 * * * * [progress]: [ 785 / 5906 ] simplifiying candidate # 370.779 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 370.779 * * [simplify]: iters left: 6 (47 enodes) 370.792 * * [simplify]: iters left: 5 (227 enodes) 370.843 * * [simplify]: Extracting #0: cost 1 inf + 0 370.843 * * [simplify]: Extracting #1: cost 3 inf + 0 370.843 * * [simplify]: Extracting #2: cost 10 inf + 0 370.843 * * [simplify]: Extracting #3: cost 65 inf + 0 370.843 * * [simplify]: Extracting #4: cost 117 inf + 44 370.844 * * [simplify]: Extracting #5: cost 162 inf + 618 370.845 * * [simplify]: Extracting #6: cost 242 inf + 2770 370.846 * * [simplify]: Extracting #7: cost 242 inf + 3506 370.850 * * [simplify]: Extracting #8: cost 143 inf + 24389 370.860 * * [simplify]: Extracting #9: cost 62 inf + 57024 370.881 * * [simplify]: Extracting #10: cost 13 inf + 93144 370.904 * * [simplify]: Extracting #11: cost 1 inf + 103858 370.926 * * [simplify]: Extracting #12: cost 0 inf + 105603 370.948 * * [simplify]: Extracting #13: cost 0 inf + 105483 370.971 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))))) 370.971 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 370.971 * * * * [progress]: [ 786 / 5906 ] simplifiying candidate # 370.972 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 370.972 * * [simplify]: iters left: 6 (48 enodes) 370.986 * * [simplify]: iters left: 5 (227 enodes) 371.037 * * [simplify]: Extracting #0: cost 1 inf + 0 371.037 * * [simplify]: Extracting #1: cost 3 inf + 0 371.037 * * [simplify]: Extracting #2: cost 6 inf + 0 371.037 * * [simplify]: Extracting #3: cost 48 inf + 0 371.037 * * [simplify]: Extracting #4: cost 112 inf + 0 371.038 * * [simplify]: Extracting #5: cost 184 inf + 0 371.038 * * [simplify]: Extracting #6: cost 253 inf + 974 371.040 * * [simplify]: Extracting #7: cost 209 inf + 9658 371.043 * * [simplify]: Extracting #8: cost 121 inf + 26118 371.052 * * [simplify]: Extracting #9: cost 51 inf + 53385 371.071 * * [simplify]: Extracting #10: cost 6 inf + 96362 371.092 * * [simplify]: Extracting #11: cost 0 inf + 102931 371.114 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 371.114 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 371.114 * * * * [progress]: [ 787 / 5906 ] simplifiying candidate # 371.115 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 371.115 * * [simplify]: iters left: 6 (49 enodes) 371.129 * * [simplify]: iters left: 5 (236 enodes) 371.185 * * [simplify]: Extracting #0: cost 1 inf + 0 371.185 * * [simplify]: Extracting #1: cost 3 inf + 0 371.186 * * [simplify]: Extracting #2: cost 6 inf + 0 371.186 * * [simplify]: Extracting #3: cost 52 inf + 0 371.186 * * [simplify]: Extracting #4: cost 135 inf + 0 371.186 * * [simplify]: Extracting #5: cost 197 inf + 85 371.188 * * [simplify]: Extracting #6: cost 221 inf + 7261 371.190 * * [simplify]: Extracting #7: cost 199 inf + 12178 371.193 * * [simplify]: Extracting #8: cost 151 inf + 19645 371.198 * * [simplify]: Extracting #9: cost 107 inf + 29389 371.206 * * [simplify]: Extracting #10: cost 62 inf + 49840 371.218 * * [simplify]: Extracting #11: cost 33 inf + 69485 371.238 * * [simplify]: Extracting #12: cost 2 inf + 102578 371.263 * * [simplify]: Extracting #13: cost 0 inf + 105508 371.285 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 371.285 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 371.285 * * * * [progress]: [ 788 / 5906 ] simplifiying candidate # 371.286 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 371.286 * * [simplify]: iters left: 6 (49 enodes) 371.299 * * [simplify]: iters left: 5 (236 enodes) 371.356 * * [simplify]: Extracting #0: cost 1 inf + 0 371.356 * * [simplify]: Extracting #1: cost 3 inf + 0 371.356 * * [simplify]: Extracting #2: cost 6 inf + 0 371.356 * * [simplify]: Extracting #3: cost 54 inf + 0 371.356 * * [simplify]: Extracting #4: cost 133 inf + 0 371.357 * * [simplify]: Extracting #5: cost 192 inf + 166 371.358 * * [simplify]: Extracting #6: cost 225 inf + 5404 371.360 * * [simplify]: Extracting #7: cost 197 inf + 12075 371.364 * * [simplify]: Extracting #8: cost 131 inf + 25795 371.371 * * [simplify]: Extracting #9: cost 69 inf + 45059 371.386 * * [simplify]: Extracting #10: cost 26 inf + 81972 371.407 * * [simplify]: Extracting #11: cost 1 inf + 102656 371.431 * * [simplify]: Extracting #12: cost 0 inf + 103380 371.453 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 371.453 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 371.453 * * * * [progress]: [ 789 / 5906 ] simplifiying candidate # 371.454 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 371.454 * * [simplify]: iters left: 6 (43 enodes) 371.467 * * [simplify]: iters left: 5 (199 enodes) 371.510 * * [simplify]: Extracting #0: cost 1 inf + 0 371.511 * * [simplify]: Extracting #1: cost 3 inf + 0 371.511 * * [simplify]: Extracting #2: cost 6 inf + 0 371.511 * * [simplify]: Extracting #3: cost 46 inf + 0 371.511 * * [simplify]: Extracting #4: cost 101 inf + 0 371.513 * * [simplify]: Extracting #5: cost 140 inf + 167 371.514 * * [simplify]: Extracting #6: cost 195 inf + 1717 371.515 * * [simplify]: Extracting #7: cost 186 inf + 3509 371.518 * * [simplify]: Extracting #8: cost 124 inf + 15262 371.524 * * [simplify]: Extracting #9: cost 70 inf + 33936 371.537 * * [simplify]: Extracting #10: cost 18 inf + 71041 371.554 * * [simplify]: Extracting #11: cost 1 inf + 83076 371.572 * * [simplify]: Extracting #12: cost 0 inf + 81999 371.589 * * [simplify]: Extracting #13: cost 0 inf + 81839 371.606 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 371.606 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 371.607 * * * * [progress]: [ 790 / 5906 ] simplifiying candidate # 371.607 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 371.607 * * [simplify]: iters left: 6 (48 enodes) 371.622 * * [simplify]: iters left: 5 (227 enodes) 371.672 * * [simplify]: Extracting #0: cost 1 inf + 0 371.672 * * [simplify]: Extracting #1: cost 3 inf + 0 371.672 * * [simplify]: Extracting #2: cost 10 inf + 0 371.672 * * [simplify]: Extracting #3: cost 62 inf + 0 371.672 * * [simplify]: Extracting #4: cost 115 inf + 42 371.673 * * [simplify]: Extracting #5: cost 161 inf + 207 371.673 * * [simplify]: Extracting #6: cost 216 inf + 2123 371.675 * * [simplify]: Extracting #7: cost 196 inf + 6996 371.677 * * [simplify]: Extracting #8: cost 144 inf + 15642 371.681 * * [simplify]: Extracting #9: cost 103 inf + 24404 371.690 * * [simplify]: Extracting #10: cost 54 inf + 49176 371.705 * * [simplify]: Extracting #11: cost 8 inf + 86916 371.725 * * [simplify]: Extracting #12: cost 0 inf + 96735 371.745 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 371.745 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 371.746 * * * * [progress]: [ 791 / 5906 ] simplifiying candidate # 371.746 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 371.746 * * [simplify]: iters left: 6 (43 enodes) 371.759 * * [simplify]: iters left: 5 (199 enodes) 371.804 * * [simplify]: Extracting #0: cost 1 inf + 0 371.804 * * [simplify]: Extracting #1: cost 3 inf + 0 371.804 * * [simplify]: Extracting #2: cost 10 inf + 0 371.804 * * [simplify]: Extracting #3: cost 54 inf + 0 371.804 * * [simplify]: Extracting #4: cost 95 inf + 86 371.805 * * [simplify]: Extracting #5: cost 121 inf + 1432 371.806 * * [simplify]: Extracting #6: cost 181 inf + 2932 371.807 * * [simplify]: Extracting #7: cost 184 inf + 3303 371.809 * * [simplify]: Extracting #8: cost 128 inf + 12772 371.814 * * [simplify]: Extracting #9: cost 67 inf + 32236 371.823 * * [simplify]: Extracting #10: cost 28 inf + 55088 371.838 * * [simplify]: Extracting #11: cost 4 inf + 73194 371.855 * * [simplify]: Extracting #12: cost 0 inf + 78054 371.870 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 371.871 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 371.871 * * * * [progress]: [ 792 / 5906 ] simplifiying candidate # 371.871 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 371.872 * * [simplify]: iters left: 6 (48 enodes) 371.887 * * [simplify]: iters left: 5 (227 enodes) 371.937 * * [simplify]: Extracting #0: cost 1 inf + 0 371.937 * * [simplify]: Extracting #1: cost 3 inf + 0 371.937 * * [simplify]: Extracting #2: cost 10 inf + 0 371.937 * * [simplify]: Extracting #3: cost 62 inf + 0 371.938 * * [simplify]: Extracting #4: cost 115 inf + 42 371.938 * * [simplify]: Extracting #5: cost 160 inf + 249 371.939 * * [simplify]: Extracting #6: cost 218 inf + 1880 371.940 * * [simplify]: Extracting #7: cost 194 inf + 8704 371.942 * * [simplify]: Extracting #8: cost 144 inf + 15813 371.946 * * [simplify]: Extracting #9: cost 104 inf + 24140 371.956 * * [simplify]: Extracting #10: cost 53 inf + 49841 371.971 * * [simplify]: Extracting #11: cost 8 inf + 87636 371.991 * * [simplify]: Extracting #12: cost 0 inf + 97535 372.011 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 372.011 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 372.012 * * * * [progress]: [ 793 / 5906 ] simplifiying candidate # 372.012 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 372.012 * * [simplify]: iters left: 6 (43 enodes) 372.023 * * [simplify]: iters left: 5 (199 enodes) 372.070 * * [simplify]: Extracting #0: cost 1 inf + 0 372.070 * * [simplify]: Extracting #1: cost 3 inf + 0 372.070 * * [simplify]: Extracting #2: cost 10 inf + 0 372.070 * * [simplify]: Extracting #3: cost 53 inf + 0 372.070 * * [simplify]: Extracting #4: cost 96 inf + 44 372.071 * * [simplify]: Extracting #5: cost 125 inf + 1105 372.072 * * [simplify]: Extracting #6: cost 181 inf + 2932 372.073 * * [simplify]: Extracting #7: cost 183 inf + 3384 372.075 * * [simplify]: Extracting #8: cost 127 inf + 13255 372.081 * * [simplify]: Extracting #9: cost 62 inf + 36809 372.090 * * [simplify]: Extracting #10: cost 29 inf + 54337 372.104 * * [simplify]: Extracting #11: cost 4 inf + 73274 372.120 * * [simplify]: Extracting #12: cost 0 inf + 78294 372.138 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 372.138 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 372.138 * * * * [progress]: [ 794 / 5906 ] simplifiying candidate # 372.139 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 372.139 * * [simplify]: iters left: 6 (52 enodes) 372.153 * * [simplify]: iters left: 5 (249 enodes) 372.209 * * [simplify]: Extracting #0: cost 1 inf + 0 372.210 * * [simplify]: Extracting #1: cost 3 inf + 0 372.210 * * [simplify]: Extracting #2: cost 6 inf + 0 372.210 * * [simplify]: Extracting #3: cost 53 inf + 0 372.210 * * [simplify]: Extracting #4: cost 118 inf + 0 372.210 * * [simplify]: Extracting #5: cost 187 inf + 0 372.213 * * [simplify]: Extracting #6: cost 267 inf + 510 372.215 * * [simplify]: Extracting #7: cost 234 inf + 6427 372.218 * * [simplify]: Extracting #8: cost 126 inf + 29543 372.226 * * [simplify]: Extracting #9: cost 69 inf + 48305 372.244 * * [simplify]: Extracting #10: cost 9 inf + 99935 372.266 * * [simplify]: Extracting #11: cost 1 inf + 108293 372.289 * * [simplify]: Extracting #12: cost 0 inf + 110118 372.311 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 372.311 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 372.312 * * * * [progress]: [ 795 / 5906 ] simplifiying candidate # 372.313 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 372.314 * * [simplify]: iters left: 6 (53 enodes) 372.329 * * [simplify]: iters left: 5 (258 enodes) 372.388 * * [simplify]: Extracting #0: cost 1 inf + 0 372.388 * * [simplify]: Extracting #1: cost 3 inf + 0 372.388 * * [simplify]: Extracting #2: cost 6 inf + 0 372.388 * * [simplify]: Extracting #3: cost 56 inf + 0 372.388 * * [simplify]: Extracting #4: cost 140 inf + 0 372.388 * * [simplify]: Extracting #5: cost 200 inf + 44 372.392 * * [simplify]: Extracting #6: cost 246 inf + 3834 372.394 * * [simplify]: Extracting #7: cost 209 inf + 12514 372.397 * * [simplify]: Extracting #8: cost 156 inf + 20568 372.403 * * [simplify]: Extracting #9: cost 106 inf + 36001 372.414 * * [simplify]: Extracting #10: cost 49 inf + 62485 372.426 * * [simplify]: Extracting #11: cost 32 inf + 74710 372.445 * * [simplify]: Extracting #12: cost 5 inf + 103865 372.467 * * [simplify]: Extracting #13: cost 0 inf + 110870 372.491 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 372.491 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 372.491 * * * * [progress]: [ 796 / 5906 ] simplifiying candidate # 372.492 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 372.492 * * [simplify]: iters left: 6 (53 enodes) 372.507 * * [simplify]: iters left: 5 (258 enodes) 372.568 * * [simplify]: Extracting #0: cost 1 inf + 0 372.568 * * [simplify]: Extracting #1: cost 3 inf + 0 372.568 * * [simplify]: Extracting #2: cost 6 inf + 0 372.568 * * [simplify]: Extracting #3: cost 58 inf + 0 372.569 * * [simplify]: Extracting #4: cost 138 inf + 0 372.569 * * [simplify]: Extracting #5: cost 196 inf + 44 372.570 * * [simplify]: Extracting #6: cost 230 inf + 6497 372.573 * * [simplify]: Extracting #7: cost 202 inf + 12038 372.577 * * [simplify]: Extracting #8: cost 132 inf + 25816 372.585 * * [simplify]: Extracting #9: cost 69 inf + 48845 372.597 * * [simplify]: Extracting #10: cost 34 inf + 71172 372.615 * * [simplify]: Extracting #11: cost 7 inf + 99687 372.637 * * [simplify]: Extracting #12: cost 0 inf + 108582 372.662 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 372.662 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 372.662 * * * * [progress]: [ 797 / 5906 ] simplifiying candidate # 372.663 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 372.663 * * [simplify]: iters left: 6 (47 enodes) 372.676 * * [simplify]: iters left: 5 (221 enodes) 372.722 * * [simplify]: Extracting #0: cost 1 inf + 0 372.722 * * [simplify]: Extracting #1: cost 3 inf + 0 372.722 * * [simplify]: Extracting #2: cost 6 inf + 0 372.722 * * [simplify]: Extracting #3: cost 50 inf + 0 372.722 * * [simplify]: Extracting #4: cost 107 inf + 0 372.723 * * [simplify]: Extracting #5: cost 145 inf + 44 372.723 * * [simplify]: Extracting #6: cost 210 inf + 1110 372.725 * * [simplify]: Extracting #7: cost 197 inf + 3428 372.727 * * [simplify]: Extracting #8: cost 135 inf + 15267 372.735 * * [simplify]: Extracting #9: cost 82 inf + 32550 372.744 * * [simplify]: Extracting #10: cost 39 inf + 57396 372.759 * * [simplify]: Extracting #11: cost 8 inf + 82683 372.776 * * [simplify]: Extracting #12: cost 1 inf + 89138 372.794 * * [simplify]: Extracting #13: cost 0 inf + 90803 372.812 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1))))))) 372.812 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 372.813 * * * * [progress]: [ 798 / 5906 ] simplifiying candidate # 372.813 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 372.814 * * [simplify]: iters left: 6 (52 enodes) 372.829 * * [simplify]: iters left: 5 (249 enodes) 372.884 * * [simplify]: Extracting #0: cost 1 inf + 0 372.884 * * [simplify]: Extracting #1: cost 3 inf + 0 372.884 * * [simplify]: Extracting #2: cost 10 inf + 0 372.884 * * [simplify]: Extracting #3: cost 66 inf + 0 372.885 * * [simplify]: Extracting #4: cost 126 inf + 1 372.885 * * [simplify]: Extracting #5: cost 168 inf + 207 372.886 * * [simplify]: Extracting #6: cost 233 inf + 2121 372.887 * * [simplify]: Extracting #7: cost 217 inf + 6670 372.890 * * [simplify]: Extracting #8: cost 135 inf + 21964 372.899 * * [simplify]: Extracting #9: cost 59 inf + 52585 372.918 * * [simplify]: Extracting #10: cost 5 inf + 99139 372.940 * * [simplify]: Extracting #11: cost 1 inf + 103317 372.963 * * [simplify]: Extracting #12: cost 0 inf + 105142 372.985 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 372.985 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 372.986 * * * * [progress]: [ 799 / 5906 ] simplifiying candidate # 372.986 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 372.986 * * [simplify]: iters left: 6 (47 enodes) 372.999 * * [simplify]: iters left: 5 (222 enodes) 373.048 * * [simplify]: Extracting #0: cost 1 inf + 0 373.048 * * [simplify]: Extracting #1: cost 3 inf + 0 373.048 * * [simplify]: Extracting #2: cost 10 inf + 0 373.048 * * [simplify]: Extracting #3: cost 57 inf + 0 373.048 * * [simplify]: Extracting #4: cost 102 inf + 370 373.049 * * [simplify]: Extracting #5: cost 121 inf + 2526 373.050 * * [simplify]: Extracting #6: cost 197 inf + 2932 373.051 * * [simplify]: Extracting #7: cost 196 inf + 3628 373.053 * * [simplify]: Extracting #8: cost 165 inf + 7810 373.056 * * [simplify]: Extracting #9: cost 117 inf + 18196 373.063 * * [simplify]: Extracting #10: cost 52 inf + 44403 373.075 * * [simplify]: Extracting #11: cost 17 inf + 67154 373.092 * * [simplify]: Extracting #12: cost 3 inf + 80384 373.109 * * [simplify]: Extracting #13: cost 0 inf + 84979 373.126 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 373.126 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 373.127 * * * * [progress]: [ 800 / 5906 ] simplifiying candidate # 373.127 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 373.128 * * [simplify]: iters left: 6 (52 enodes) 373.142 * * [simplify]: iters left: 5 (249 enodes) 373.200 * * [simplify]: Extracting #0: cost 1 inf + 0 373.200 * * [simplify]: Extracting #1: cost 3 inf + 0 373.200 * * [simplify]: Extracting #2: cost 10 inf + 0 373.200 * * [simplify]: Extracting #3: cost 66 inf + 0 373.200 * * [simplify]: Extracting #4: cost 126 inf + 1 373.201 * * [simplify]: Extracting #5: cost 168 inf + 207 373.201 * * [simplify]: Extracting #6: cost 233 inf + 1840 373.203 * * [simplify]: Extracting #7: cost 215 inf + 6954 373.206 * * [simplify]: Extracting #8: cost 136 inf + 21539 373.214 * * [simplify]: Extracting #9: cost 59 inf + 52623 373.231 * * [simplify]: Extracting #10: cost 6 inf + 98034 373.254 * * [simplify]: Extracting #11: cost 1 inf + 104117 373.277 * * [simplify]: Extracting #12: cost 0 inf + 105942 373.299 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 373.300 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 373.300 * * * * [progress]: [ 801 / 5906 ] simplifiying candidate # 373.300 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 373.301 * * [simplify]: iters left: 6 (47 enodes) 373.313 * * [simplify]: iters left: 5 (222 enodes) 373.362 * * [simplify]: Extracting #0: cost 1 inf + 0 373.362 * * [simplify]: Extracting #1: cost 3 inf + 0 373.362 * * [simplify]: Extracting #2: cost 10 inf + 0 373.362 * * [simplify]: Extracting #3: cost 56 inf + 0 373.363 * * [simplify]: Extracting #4: cost 104 inf + 86 373.363 * * [simplify]: Extracting #5: cost 123 inf + 2322 373.364 * * [simplify]: Extracting #6: cost 197 inf + 2932 373.365 * * [simplify]: Extracting #7: cost 197 inf + 3546 373.367 * * [simplify]: Extracting #8: cost 164 inf + 7972 373.370 * * [simplify]: Extracting #9: cost 115 inf + 18818 373.377 * * [simplify]: Extracting #10: cost 51 inf + 45247 373.389 * * [simplify]: Extracting #11: cost 17 inf + 67474 373.405 * * [simplify]: Extracting #12: cost 3 inf + 80704 373.422 * * [simplify]: Extracting #13: cost 0 inf + 85299 373.439 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 373.439 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 373.440 * * * * [progress]: [ 802 / 5906 ] simplifiying candidate # 373.440 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 373.441 * * [simplify]: iters left: 6 (52 enodes) 373.457 * * [simplify]: iters left: 5 (254 enodes) 373.518 * * [simplify]: Extracting #0: cost 1 inf + 0 373.518 * * [simplify]: Extracting #1: cost 3 inf + 0 373.518 * * [simplify]: Extracting #2: cost 6 inf + 0 373.518 * * [simplify]: Extracting #3: cost 56 inf + 0 373.519 * * [simplify]: Extracting #4: cost 130 inf + 0 373.519 * * [simplify]: Extracting #5: cost 210 inf + 0 373.520 * * [simplify]: Extracting #6: cost 293 inf + 933 373.524 * * [simplify]: Extracting #7: cost 255 inf + 8042 373.529 * * [simplify]: Extracting #8: cost 147 inf + 31039 373.540 * * [simplify]: Extracting #9: cost 62 inf + 63036 373.560 * * [simplify]: Extracting #10: cost 9 inf + 111311 373.585 * * [simplify]: Extracting #11: cost 1 inf + 121391 373.610 * * [simplify]: Extracting #12: cost 0 inf + 123416 373.637 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 373.637 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 373.637 * * * * [progress]: [ 803 / 5906 ] simplifiying candidate # 373.638 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 373.638 * * [simplify]: iters left: 6 (53 enodes) 373.653 * * [simplify]: iters left: 5 (263 enodes) 373.718 * * [simplify]: Extracting #0: cost 1 inf + 0 373.718 * * [simplify]: Extracting #1: cost 3 inf + 0 373.718 * * [simplify]: Extracting #2: cost 6 inf + 0 373.718 * * [simplify]: Extracting #3: cost 60 inf + 0 373.719 * * [simplify]: Extracting #4: cost 153 inf + 0 373.719 * * [simplify]: Extracting #5: cost 224 inf + 44 373.720 * * [simplify]: Extracting #6: cost 272 inf + 4197 373.723 * * [simplify]: Extracting #7: cost 239 inf + 11126 373.729 * * [simplify]: Extracting #8: cost 145 inf + 36130 373.739 * * [simplify]: Extracting #9: cost 65 inf + 64733 373.759 * * [simplify]: Extracting #10: cost 11 inf + 112541 373.790 * * [simplify]: Extracting #11: cost 0 inf + 126233 373.818 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 373.818 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 373.819 * * * * [progress]: [ 804 / 5906 ] simplifiying candidate # 373.819 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 373.819 * * [simplify]: iters left: 6 (53 enodes) 373.836 * * [simplify]: iters left: 5 (263 enodes) 373.901 * * [simplify]: Extracting #0: cost 1 inf + 0 373.901 * * [simplify]: Extracting #1: cost 3 inf + 0 373.901 * * [simplify]: Extracting #2: cost 6 inf + 0 373.901 * * [simplify]: Extracting #3: cost 62 inf + 0 373.901 * * [simplify]: Extracting #4: cost 151 inf + 0 373.902 * * [simplify]: Extracting #5: cost 220 inf + 44 373.904 * * [simplify]: Extracting #6: cost 266 inf + 4801 373.906 * * [simplify]: Extracting #7: cost 233 inf + 12094 373.910 * * [simplify]: Extracting #8: cost 169 inf + 24350 373.918 * * [simplify]: Extracting #9: cost 109 inf + 46350 373.930 * * [simplify]: Extracting #10: cost 50 inf + 74097 373.951 * * [simplify]: Extracting #11: cost 6 inf + 119675 373.977 * * [simplify]: Extracting #12: cost 0 inf + 126465 374.004 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 374.004 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 374.005 * * * * [progress]: [ 805 / 5906 ] simplifiying candidate # 374.005 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 374.005 * * [simplify]: iters left: 6 (47 enodes) 374.019 * * [simplify]: iters left: 5 (227 enodes) 374.072 * * [simplify]: Extracting #0: cost 1 inf + 0 374.073 * * [simplify]: Extracting #1: cost 3 inf + 0 374.073 * * [simplify]: Extracting #2: cost 6 inf + 0 374.073 * * [simplify]: Extracting #3: cost 54 inf + 0 374.073 * * [simplify]: Extracting #4: cost 119 inf + 0 374.073 * * [simplify]: Extracting #5: cost 168 inf + 44 374.074 * * [simplify]: Extracting #6: cost 236 inf + 1233 374.075 * * [simplify]: Extracting #7: cost 219 inf + 4160 374.079 * * [simplify]: Extracting #8: cost 138 inf + 21994 374.086 * * [simplify]: Extracting #9: cost 81 inf + 42717 374.102 * * [simplify]: Extracting #10: cost 11 inf + 92518 374.124 * * [simplify]: Extracting #11: cost 1 inf + 101259 374.146 * * [simplify]: Extracting #12: cost 0 inf + 102284 374.169 * * [simplify]: Extracting #13: cost 0 inf + 102244 374.190 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 374.190 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 374.190 * * * * [progress]: [ 806 / 5906 ] simplifiying candidate # 374.191 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 374.191 * * [simplify]: iters left: 6 (52 enodes) 374.206 * * [simplify]: iters left: 5 (255 enodes) 374.268 * * [simplify]: Extracting #0: cost 1 inf + 0 374.268 * * [simplify]: Extracting #1: cost 3 inf + 0 374.268 * * [simplify]: Extracting #2: cost 10 inf + 0 374.268 * * [simplify]: Extracting #3: cost 74 inf + 0 374.269 * * [simplify]: Extracting #4: cost 137 inf + 1 374.269 * * [simplify]: Extracting #5: cost 189 inf + 248 374.270 * * [simplify]: Extracting #6: cost 259 inf + 2161 374.272 * * [simplify]: Extracting #7: cost 234 inf + 7787 374.276 * * [simplify]: Extracting #8: cost 156 inf + 24030 374.284 * * [simplify]: Extracting #9: cost 65 inf + 56926 374.303 * * [simplify]: Extracting #10: cost 8 inf + 107895 374.328 * * [simplify]: Extracting #11: cost 0 inf + 117975 374.355 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 374.355 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 374.355 * * * * [progress]: [ 807 / 5906 ] simplifiying candidate # 374.356 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 374.356 * * [simplify]: iters left: 6 (47 enodes) 374.369 * * [simplify]: iters left: 5 (227 enodes) 374.426 * * [simplify]: Extracting #0: cost 1 inf + 0 374.426 * * [simplify]: Extracting #1: cost 3 inf + 0 374.426 * * [simplify]: Extracting #2: cost 10 inf + 0 374.426 * * [simplify]: Extracting #3: cost 66 inf + 0 374.427 * * [simplify]: Extracting #4: cost 117 inf + 44 374.427 * * [simplify]: Extracting #5: cost 154 inf + 1064 374.428 * * [simplify]: Extracting #6: cost 223 inf + 2972 374.430 * * [simplify]: Extracting #7: cost 222 inf + 3629 374.433 * * [simplify]: Extracting #8: cost 139 inf + 22490 374.445 * * [simplify]: Extracting #9: cost 58 inf + 56294 374.462 * * [simplify]: Extracting #10: cost 5 inf + 93169 374.483 * * [simplify]: Extracting #11: cost 1 inf + 97469 374.503 * * [simplify]: Extracting #12: cost 0 inf + 99334 374.524 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 374.524 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 374.525 * * * * [progress]: [ 808 / 5906 ] simplifiying candidate # 374.525 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 374.525 * * [simplify]: iters left: 6 (52 enodes) 374.541 * * [simplify]: iters left: 5 (255 enodes) 374.600 * * [simplify]: Extracting #0: cost 1 inf + 0 374.600 * * [simplify]: Extracting #1: cost 3 inf + 0 374.600 * * [simplify]: Extracting #2: cost 10 inf + 0 374.600 * * [simplify]: Extracting #3: cost 74 inf + 0 374.601 * * [simplify]: Extracting #4: cost 137 inf + 1 374.601 * * [simplify]: Extracting #5: cost 189 inf + 248 374.602 * * [simplify]: Extracting #6: cost 262 inf + 1395 374.603 * * [simplify]: Extracting #7: cost 242 inf + 5801 374.607 * * [simplify]: Extracting #8: cost 154 inf + 24599 374.618 * * [simplify]: Extracting #9: cost 65 inf + 57406 374.637 * * [simplify]: Extracting #10: cost 8 inf + 108855 374.662 * * [simplify]: Extracting #11: cost 0 inf + 118935 374.686 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 374.686 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 374.686 * * * * [progress]: [ 809 / 5906 ] simplifiying candidate # 374.687 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 374.687 * * [simplify]: iters left: 6 (47 enodes) 374.700 * * [simplify]: iters left: 5 (227 enodes) 374.753 * * [simplify]: Extracting #0: cost 1 inf + 0 374.753 * * [simplify]: Extracting #1: cost 3 inf + 0 374.753 * * [simplify]: Extracting #2: cost 10 inf + 0 374.753 * * [simplify]: Extracting #3: cost 65 inf + 0 374.754 * * [simplify]: Extracting #4: cost 116 inf + 86 374.754 * * [simplify]: Extracting #5: cost 149 inf + 1594 374.755 * * [simplify]: Extracting #6: cost 223 inf + 2932 374.757 * * [simplify]: Extracting #7: cost 219 inf + 4156 374.760 * * [simplify]: Extracting #8: cost 139 inf + 21723 374.770 * * [simplify]: Extracting #9: cost 56 inf + 58182 374.786 * * [simplify]: Extracting #10: cost 5 inf + 93249 374.810 * * [simplify]: Extracting #11: cost 1 inf + 97869 374.830 * * [simplify]: Extracting #12: cost 0 inf + 99734 374.851 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 374.851 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 374.852 * * * * [progress]: [ 810 / 5906 ] simplifiying candidate # 374.852 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 374.852 * * [simplify]: iters left: 6 (48 enodes) 374.866 * * [simplify]: iters left: 5 (230 enodes) 374.920 * * [simplify]: Extracting #0: cost 1 inf + 0 374.920 * * [simplify]: Extracting #1: cost 3 inf + 0 374.920 * * [simplify]: Extracting #2: cost 6 inf + 0 374.920 * * [simplify]: Extracting #3: cost 54 inf + 0 374.921 * * [simplify]: Extracting #4: cost 120 inf + 0 374.921 * * [simplify]: Extracting #5: cost 192 inf + 0 374.922 * * [simplify]: Extracting #6: cost 262 inf + 762 374.923 * * [simplify]: Extracting #7: cost 231 inf + 6547 374.926 * * [simplify]: Extracting #8: cost 138 inf + 25097 374.934 * * [simplify]: Extracting #9: cost 71 inf + 48676 374.951 * * [simplify]: Extracting #10: cost 17 inf + 92594 374.972 * * [simplify]: Extracting #11: cost 4 inf + 105008 374.997 * * [simplify]: Extracting #12: cost 0 inf + 109125 375.021 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 375.021 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 375.021 * * * * [progress]: [ 811 / 5906 ] simplifiying candidate # 375.022 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 375.022 * * [simplify]: iters left: 6 (49 enodes) 375.035 * * [simplify]: iters left: 5 (239 enodes) 375.092 * * [simplify]: Extracting #0: cost 1 inf + 0 375.092 * * [simplify]: Extracting #1: cost 3 inf + 0 375.093 * * [simplify]: Extracting #2: cost 6 inf + 0 375.093 * * [simplify]: Extracting #3: cost 58 inf + 0 375.093 * * [simplify]: Extracting #4: cost 143 inf + 0 375.093 * * [simplify]: Extracting #5: cost 205 inf + 85 375.095 * * [simplify]: Extracting #6: cost 236 inf + 5408 375.097 * * [simplify]: Extracting #7: cost 206 inf + 12451 375.101 * * [simplify]: Extracting #8: cost 156 inf + 20789 375.107 * * [simplify]: Extracting #9: cost 103 inf + 40370 375.117 * * [simplify]: Extracting #10: cost 52 inf + 62703 375.131 * * [simplify]: Extracting #11: cost 32 inf + 76062 375.152 * * [simplify]: Extracting #12: cost 2 inf + 108812 375.177 * * [simplify]: Extracting #13: cost 0 inf + 111822 375.199 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 375.199 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 375.199 * * * * [progress]: [ 812 / 5906 ] simplifiying candidate # 375.200 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 375.200 * * [simplify]: iters left: 6 (49 enodes) 375.213 * * [simplify]: iters left: 5 (239 enodes) 375.272 * * [simplify]: Extracting #0: cost 1 inf + 0 375.272 * * [simplify]: Extracting #1: cost 3 inf + 0 375.272 * * [simplify]: Extracting #2: cost 6 inf + 0 375.272 * * [simplify]: Extracting #3: cost 60 inf + 0 375.272 * * [simplify]: Extracting #4: cost 141 inf + 0 375.273 * * [simplify]: Extracting #5: cost 200 inf + 166 375.274 * * [simplify]: Extracting #6: cost 224 inf + 7382 375.277 * * [simplify]: Extracting #7: cost 199 inf + 12475 375.280 * * [simplify]: Extracting #8: cost 137 inf + 25098 375.287 * * [simplify]: Extracting #9: cost 79 inf + 43910 375.298 * * [simplify]: Extracting #10: cost 48 inf + 63755 375.318 * * [simplify]: Extracting #11: cost 2 inf + 106484 375.342 * * [simplify]: Extracting #12: cost 0 inf + 109494 375.364 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) 375.364 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 375.365 * * * * [progress]: [ 813 / 5906 ] simplifiying candidate # 375.365 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 375.365 * * [simplify]: iters left: 6 (43 enodes) 375.377 * * [simplify]: iters left: 5 (203 enodes) 375.423 * * [simplify]: Extracting #0: cost 1 inf + 0 375.423 * * [simplify]: Extracting #1: cost 3 inf + 0 375.423 * * [simplify]: Extracting #2: cost 6 inf + 0 375.424 * * [simplify]: Extracting #3: cost 52 inf + 0 375.424 * * [simplify]: Extracting #4: cost 109 inf + 0 375.424 * * [simplify]: Extracting #5: cost 149 inf + 126 375.425 * * [simplify]: Extracting #6: cost 204 inf + 1517 375.426 * * [simplify]: Extracting #7: cost 195 inf + 3428 375.428 * * [simplify]: Extracting #8: cost 151 inf + 8954 375.432 * * [simplify]: Extracting #9: cost 102 inf + 25130 375.441 * * [simplify]: Extracting #10: cost 31 inf + 58679 375.455 * * [simplify]: Extracting #11: cost 6 inf + 78523 375.473 * * [simplify]: Extracting #12: cost 0 inf + 85993 375.490 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 375.490 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 375.491 * * * * [progress]: [ 814 / 5906 ] simplifiying candidate # 375.491 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 375.491 * * [simplify]: iters left: 6 (48 enodes) 375.504 * * [simplify]: iters left: 5 (231 enodes) 375.557 * * [simplify]: Extracting #0: cost 1 inf + 0 375.557 * * [simplify]: Extracting #1: cost 3 inf + 0 375.557 * * [simplify]: Extracting #2: cost 10 inf + 0 375.557 * * [simplify]: Extracting #3: cost 72 inf + 0 375.557 * * [simplify]: Extracting #4: cost 126 inf + 42 375.558 * * [simplify]: Extracting #5: cost 172 inf + 207 375.558 * * [simplify]: Extracting #6: cost 226 inf + 2245 375.560 * * [simplify]: Extracting #7: cost 212 inf + 6187 375.562 * * [simplify]: Extracting #8: cost 161 inf + 13777 375.567 * * [simplify]: Extracting #9: cost 94 inf + 36136 375.578 * * [simplify]: Extracting #10: cost 26 inf + 75977 375.600 * * [simplify]: Extracting #11: cost 2 inf + 101074 375.621 * * [simplify]: Extracting #12: cost 0 inf + 103884 375.640 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 375.641 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 375.641 * * * * [progress]: [ 815 / 5906 ] simplifiying candidate # 375.641 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 375.642 * * [simplify]: iters left: 6 (43 enodes) 375.653 * * [simplify]: iters left: 5 (203 enodes) 375.698 * * [simplify]: Extracting #0: cost 1 inf + 0 375.698 * * [simplify]: Extracting #1: cost 3 inf + 0 375.698 * * [simplify]: Extracting #2: cost 10 inf + 0 375.698 * * [simplify]: Extracting #3: cost 64 inf + 0 375.698 * * [simplify]: Extracting #4: cost 106 inf + 86 375.699 * * [simplify]: Extracting #5: cost 135 inf + 986 375.700 * * [simplify]: Extracting #6: cost 192 inf + 2932 375.701 * * [simplify]: Extracting #7: cost 196 inf + 3221 375.704 * * [simplify]: Extracting #8: cost 117 inf + 20886 375.712 * * [simplify]: Extracting #9: cost 53 inf + 48385 375.728 * * [simplify]: Extracting #10: cost 8 inf + 80335 375.745 * * [simplify]: Extracting #11: cost 0 inf + 84203 375.762 * * [simplify]: Extracting #12: cost 0 inf + 83923 375.781 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 375.782 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 375.782 * * * * [progress]: [ 816 / 5906 ] simplifiying candidate # 375.782 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 375.783 * * [simplify]: iters left: 6 (48 enodes) 375.796 * * [simplify]: iters left: 5 (231 enodes) 375.849 * * [simplify]: Extracting #0: cost 1 inf + 0 375.849 * * [simplify]: Extracting #1: cost 3 inf + 0 375.849 * * [simplify]: Extracting #2: cost 10 inf + 0 375.849 * * [simplify]: Extracting #3: cost 72 inf + 0 375.849 * * [simplify]: Extracting #4: cost 126 inf + 42 375.850 * * [simplify]: Extracting #5: cost 171 inf + 249 375.851 * * [simplify]: Extracting #6: cost 224 inf + 2568 375.852 * * [simplify]: Extracting #7: cost 209 inf + 7044 375.857 * * [simplify]: Extracting #8: cost 163 inf + 13615 375.861 * * [simplify]: Extracting #9: cost 97 inf + 35061 375.873 * * [simplify]: Extracting #10: cost 26 inf + 76937 375.893 * * [simplify]: Extracting #11: cost 2 inf + 102034 375.914 * * [simplify]: Extracting #12: cost 0 inf + 104844 375.935 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 375.935 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 375.935 * * * * [progress]: [ 817 / 5906 ] simplifiying candidate # 375.935 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 375.936 * * [simplify]: iters left: 6 (43 enodes) 375.948 * * [simplify]: iters left: 5 (203 enodes) 375.993 * * [simplify]: Extracting #0: cost 1 inf + 0 375.993 * * [simplify]: Extracting #1: cost 3 inf + 0 375.993 * * [simplify]: Extracting #2: cost 10 inf + 0 375.993 * * [simplify]: Extracting #3: cost 63 inf + 0 375.993 * * [simplify]: Extracting #4: cost 107 inf + 44 375.994 * * [simplify]: Extracting #5: cost 134 inf + 1228 375.994 * * [simplify]: Extracting #6: cost 192 inf + 2932 375.995 * * [simplify]: Extracting #7: cost 196 inf + 3221 375.998 * * [simplify]: Extracting #8: cost 117 inf + 20324 376.008 * * [simplify]: Extracting #9: cost 44 inf + 55101 376.023 * * [simplify]: Extracting #10: cost 8 inf + 81057 376.043 * * [simplify]: Extracting #11: cost 0 inf + 84803 376.060 * * [simplify]: Extracting #12: cost 0 inf + 84323 376.077 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 376.077 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 376.078 * * * * [progress]: [ 818 / 5906 ] simplifiying candidate # 376.078 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 376.078 * * [simplify]: iters left: 6 (51 enodes) 376.092 * * [simplify]: iters left: 5 (243 enodes) 376.152 * * [simplify]: Extracting #0: cost 1 inf + 0 376.152 * * [simplify]: Extracting #1: cost 3 inf + 0 376.152 * * [simplify]: Extracting #2: cost 6 inf + 0 376.152 * * [simplify]: Extracting #3: cost 56 inf + 0 376.153 * * [simplify]: Extracting #4: cost 130 inf + 0 376.153 * * [simplify]: Extracting #5: cost 207 inf + 0 376.154 * * [simplify]: Extracting #6: cost 271 inf + 1589 376.156 * * [simplify]: Extracting #7: cost 198 inf + 14396 376.161 * * [simplify]: Extracting #8: cost 126 inf + 36652 376.171 * * [simplify]: Extracting #9: cost 61 inf + 61101 376.192 * * [simplify]: Extracting #10: cost 8 inf + 111725 376.218 * * [simplify]: Extracting #11: cost 1 inf + 120820 376.244 * * [simplify]: Extracting #12: cost 0 inf + 122845 376.269 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 376.269 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 376.269 * * * * [progress]: [ 819 / 5906 ] simplifiying candidate # 376.269 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 376.270 * * [simplify]: iters left: 6 (52 enodes) 376.284 * * [simplify]: iters left: 5 (252 enodes) 376.343 * * [simplify]: Extracting #0: cost 1 inf + 0 376.343 * * [simplify]: Extracting #1: cost 3 inf + 0 376.343 * * [simplify]: Extracting #2: cost 6 inf + 0 376.343 * * [simplify]: Extracting #3: cost 60 inf + 0 376.343 * * [simplify]: Extracting #4: cost 153 inf + 0 376.344 * * [simplify]: Extracting #5: cost 221 inf + 44 376.345 * * [simplify]: Extracting #6: cost 244 inf + 5666 376.348 * * [simplify]: Extracting #7: cost 186 inf + 16396 376.354 * * [simplify]: Extracting #8: cost 132 inf + 36726 376.363 * * [simplify]: Extracting #9: cost 87 inf + 56537 376.375 * * [simplify]: Extracting #10: cost 50 inf + 70692 376.398 * * [simplify]: Extracting #11: cost 7 inf + 117447 376.422 * * [simplify]: Extracting #12: cost 1 inf + 124477 376.447 * * [simplify]: Extracting #13: cost 0 inf + 126622 376.474 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 376.474 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 376.474 * * * * [progress]: [ 820 / 5906 ] simplifiying candidate # 376.475 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 376.475 * * [simplify]: iters left: 6 (52 enodes) 376.492 * * [simplify]: iters left: 5 (252 enodes) 376.550 * * [simplify]: Extracting #0: cost 1 inf + 0 376.550 * * [simplify]: Extracting #1: cost 3 inf + 0 376.550 * * [simplify]: Extracting #2: cost 6 inf + 0 376.550 * * [simplify]: Extracting #3: cost 62 inf + 0 376.550 * * [simplify]: Extracting #4: cost 151 inf + 0 376.551 * * [simplify]: Extracting #5: cost 217 inf + 44 376.552 * * [simplify]: Extracting #6: cost 241 inf + 6303 376.556 * * [simplify]: Extracting #7: cost 180 inf + 18484 376.561 * * [simplify]: Extracting #8: cost 135 inf + 33925 376.572 * * [simplify]: Extracting #9: cost 86 inf + 55069 376.584 * * [simplify]: Extracting #10: cost 50 inf + 69844 376.603 * * [simplify]: Extracting #11: cost 8 inf + 112974 376.626 * * [simplify]: Extracting #12: cost 1 inf + 120869 376.650 * * [simplify]: Extracting #13: cost 0 inf + 122974 376.674 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) 376.674 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 376.675 * * * * [progress]: [ 821 / 5906 ] simplifiying candidate # 376.675 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 376.675 * * [simplify]: iters left: 6 (46 enodes) 376.688 * * [simplify]: iters left: 5 (216 enodes) 376.736 * * [simplify]: Extracting #0: cost 1 inf + 0 376.736 * * [simplify]: Extracting #1: cost 3 inf + 0 376.736 * * [simplify]: Extracting #2: cost 6 inf + 0 376.736 * * [simplify]: Extracting #3: cost 54 inf + 0 376.736 * * [simplify]: Extracting #4: cost 119 inf + 0 376.736 * * [simplify]: Extracting #5: cost 164 inf + 86 376.737 * * [simplify]: Extracting #6: cost 218 inf + 1763 376.739 * * [simplify]: Extracting #7: cost 194 inf + 5710 376.741 * * [simplify]: Extracting #8: cost 160 inf + 10859 376.748 * * [simplify]: Extracting #9: cost 105 inf + 32367 376.757 * * [simplify]: Extracting #10: cost 43 inf + 57478 376.775 * * [simplify]: Extracting #11: cost 9 inf + 90888 376.798 * * [simplify]: Extracting #12: cost 0 inf + 101273 376.818 * * [simplify]: Extracting #13: cost 0 inf + 100953 376.839 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 376.840 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 376.840 * * * * [progress]: [ 822 / 5906 ] simplifiying candidate # 376.840 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 376.841 * * [simplify]: iters left: 6 (51 enodes) 376.856 * * [simplify]: iters left: 5 (244 enodes) 376.911 * * [simplify]: Extracting #0: cost 1 inf + 0 376.911 * * [simplify]: Extracting #1: cost 3 inf + 0 376.911 * * [simplify]: Extracting #2: cost 10 inf + 0 376.911 * * [simplify]: Extracting #3: cost 74 inf + 0 376.911 * * [simplify]: Extracting #4: cost 137 inf + 1 376.912 * * [simplify]: Extracting #5: cost 186 inf + 249 376.913 * * [simplify]: Extracting #6: cost 239 inf + 2213 376.915 * * [simplify]: Extracting #7: cost 184 inf + 12982 376.920 * * [simplify]: Extracting #8: cost 133 inf + 31323 376.929 * * [simplify]: Extracting #9: cost 94 inf + 45521 376.939 * * [simplify]: Extracting #10: cost 48 inf + 65324 376.957 * * [simplify]: Extracting #11: cost 8 inf + 104524 376.980 * * [simplify]: Extracting #12: cost 0 inf + 115044 377.003 * * [simplify]: Extracting #13: cost 0 inf + 114644 377.026 * * [simplify]: Extracting #14: cost 0 inf + 114604 377.051 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 377.051 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 377.052 * * * * [progress]: [ 823 / 5906 ] simplifiying candidate # 377.052 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 377.052 * * [simplify]: iters left: 6 (46 enodes) 377.066 * * [simplify]: iters left: 5 (216 enodes) 377.114 * * [simplify]: Extracting #0: cost 1 inf + 0 377.114 * * [simplify]: Extracting #1: cost 3 inf + 0 377.114 * * [simplify]: Extracting #2: cost 10 inf + 0 377.114 * * [simplify]: Extracting #3: cost 66 inf + 0 377.115 * * [simplify]: Extracting #4: cost 117 inf + 44 377.115 * * [simplify]: Extracting #5: cost 154 inf + 618 377.119 * * [simplify]: Extracting #6: cost 209 inf + 2814 377.120 * * [simplify]: Extracting #7: cost 186 inf + 6321 377.124 * * [simplify]: Extracting #8: cost 113 inf + 26754 377.135 * * [simplify]: Extracting #9: cost 46 inf + 57523 377.152 * * [simplify]: Extracting #10: cost 3 inf + 91901 377.173 * * [simplify]: Extracting #11: cost 0 inf + 95683 377.193 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) 377.193 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 377.193 * * * * [progress]: [ 824 / 5906 ] simplifiying candidate # 377.194 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 377.194 * * [simplify]: iters left: 6 (51 enodes) 377.207 * * [simplify]: iters left: 5 (244 enodes) 377.263 * * [simplify]: Extracting #0: cost 1 inf + 0 377.263 * * [simplify]: Extracting #1: cost 3 inf + 0 377.263 * * [simplify]: Extracting #2: cost 10 inf + 0 377.264 * * [simplify]: Extracting #3: cost 74 inf + 0 377.264 * * [simplify]: Extracting #4: cost 137 inf + 1 377.264 * * [simplify]: Extracting #5: cost 187 inf + 207 377.265 * * [simplify]: Extracting #6: cost 241 inf + 2210 377.267 * * [simplify]: Extracting #7: cost 182 inf + 12945 377.272 * * [simplify]: Extracting #8: cost 133 inf + 31281 377.279 * * [simplify]: Extracting #9: cost 91 inf + 47354 377.292 * * [simplify]: Extracting #10: cost 49 inf + 65939 377.310 * * [simplify]: Extracting #11: cost 8 inf + 105484 377.333 * * [simplify]: Extracting #12: cost 0 inf + 116004 377.356 * * [simplify]: Extracting #13: cost 0 inf + 115604 377.381 * * [simplify]: Extracting #14: cost 0 inf + 115564 377.405 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 377.405 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 377.406 * * * * [progress]: [ 825 / 5906 ] simplifiying candidate # 377.406 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 377.407 * * [simplify]: iters left: 6 (46 enodes) 377.419 * * [simplify]: iters left: 5 (216 enodes) 377.466 * * [simplify]: Extracting #0: cost 1 inf + 0 377.467 * * [simplify]: Extracting #1: cost 3 inf + 0 377.467 * * [simplify]: Extracting #2: cost 10 inf + 0 377.467 * * [simplify]: Extracting #3: cost 65 inf + 0 377.467 * * [simplify]: Extracting #4: cost 117 inf + 44 377.467 * * [simplify]: Extracting #5: cost 151 inf + 904 377.468 * * [simplify]: Extracting #6: cost 208 inf + 2976 377.470 * * [simplify]: Extracting #7: cost 188 inf + 6119 377.474 * * [simplify]: Extracting #8: cost 112 inf + 28873 377.486 * * [simplify]: Extracting #9: cost 43 inf + 59891 377.500 * * [simplify]: Extracting #10: cost 17 inf + 79684 377.519 * * [simplify]: Extracting #11: cost 0 inf + 96203 377.539 * * [simplify]: Extracting #12: cost 0 inf + 96163 377.559 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 377.559 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 377.559 * * * * [progress]: [ 826 / 5906 ] simplifiying candidate # 377.560 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 377.560 * * [simplify]: iters left: 6 (50 enodes) 377.576 * * [simplify]: iters left: 5 (239 enodes) 377.630 * * [simplify]: Extracting #0: cost 1 inf + 0 377.630 * * [simplify]: Extracting #1: cost 3 inf + 0 377.630 * * [simplify]: Extracting #2: cost 6 inf + 0 377.631 * * [simplify]: Extracting #3: cost 57 inf + 0 377.631 * * [simplify]: Extracting #4: cost 128 inf + 0 377.631 * * [simplify]: Extracting #5: cost 198 inf + 0 377.632 * * [simplify]: Extracting #6: cost 268 inf + 3660 377.634 * * [simplify]: Extracting #7: cost 216 inf + 11656 377.637 * * [simplify]: Extracting #8: cost 159 inf + 20370 377.643 * * [simplify]: Extracting #9: cost 114 inf + 34572 377.656 * * [simplify]: Extracting #10: cost 61 inf + 58397 377.674 * * [simplify]: Extracting #11: cost 10 inf + 104832 377.698 * * [simplify]: Extracting #12: cost 1 inf + 114937 377.721 * * [simplify]: Extracting #13: cost 0 inf + 116762 377.750 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 377.750 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 377.751 * * * * [progress]: [ 827 / 5906 ] simplifiying candidate # 377.751 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 377.751 * * [simplify]: iters left: 6 (51 enodes) 377.767 * * [simplify]: iters left: 5 (248 enodes) 377.823 * * [simplify]: Extracting #0: cost 1 inf + 0 377.823 * * [simplify]: Extracting #1: cost 3 inf + 0 377.824 * * [simplify]: Extracting #2: cost 6 inf + 0 377.824 * * [simplify]: Extracting #3: cost 61 inf + 0 377.824 * * [simplify]: Extracting #4: cost 151 inf + 0 377.824 * * [simplify]: Extracting #5: cost 211 inf + 86 377.825 * * [simplify]: Extracting #6: cost 257 inf + 3468 377.828 * * [simplify]: Extracting #7: cost 223 inf + 10742 377.831 * * [simplify]: Extracting #8: cost 160 inf + 22482 377.840 * * [simplify]: Extracting #9: cost 104 inf + 43252 377.859 * * [simplify]: Extracting #10: cost 13 inf + 102894 377.881 * * [simplify]: Extracting #11: cost 1 inf + 114914 377.905 * * [simplify]: Extracting #12: cost 0 inf + 116739 377.928 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 377.928 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 377.929 * * * * [progress]: [ 828 / 5906 ] simplifiying candidate # 377.929 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 377.930 * * [simplify]: iters left: 6 (51 enodes) 377.946 * * [simplify]: iters left: 5 (248 enodes) 378.004 * * [simplify]: Extracting #0: cost 1 inf + 0 378.004 * * [simplify]: Extracting #1: cost 3 inf + 0 378.004 * * [simplify]: Extracting #2: cost 6 inf + 0 378.004 * * [simplify]: Extracting #3: cost 63 inf + 0 378.005 * * [simplify]: Extracting #4: cost 149 inf + 0 378.005 * * [simplify]: Extracting #5: cost 208 inf + 44 378.007 * * [simplify]: Extracting #6: cost 254 inf + 3708 378.009 * * [simplify]: Extracting #7: cost 212 inf + 12826 378.013 * * [simplify]: Extracting #8: cost 148 inf + 25300 378.023 * * [simplify]: Extracting #9: cost 103 inf + 44078 378.033 * * [simplify]: Extracting #10: cost 57 inf + 63906 378.050 * * [simplify]: Extracting #11: cost 19 inf + 95576 378.074 * * [simplify]: Extracting #12: cost 1 inf + 113906 378.097 * * [simplify]: Extracting #13: cost 0 inf + 115771 378.122 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 378.122 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 378.123 * * * * [progress]: [ 829 / 5906 ] simplifiying candidate # 378.123 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 378.123 * * [simplify]: iters left: 6 (45 enodes) 378.137 * * [simplify]: iters left: 5 (212 enodes) 378.190 * * [simplify]: Extracting #0: cost 1 inf + 0 378.190 * * [simplify]: Extracting #1: cost 3 inf + 0 378.190 * * [simplify]: Extracting #2: cost 6 inf + 0 378.190 * * [simplify]: Extracting #3: cost 55 inf + 0 378.190 * * [simplify]: Extracting #4: cost 117 inf + 0 378.191 * * [simplify]: Extracting #5: cost 155 inf + 85 378.192 * * [simplify]: Extracting #6: cost 217 inf + 1032 378.193 * * [simplify]: Extracting #7: cost 211 inf + 2538 378.195 * * [simplify]: Extracting #8: cost 161 inf + 9958 378.201 * * [simplify]: Extracting #9: cost 83 inf + 43194 378.220 * * [simplify]: Extracting #10: cost 10 inf + 86915 378.239 * * [simplify]: Extracting #11: cost 0 inf + 94750 378.258 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 378.259 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 378.259 * * * * [progress]: [ 830 / 5906 ] simplifiying candidate # 378.260 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 378.260 * * [simplify]: iters left: 6 (50 enodes) 378.274 * * [simplify]: iters left: 5 (240 enodes) 378.330 * * [simplify]: Extracting #0: cost 1 inf + 0 378.330 * * [simplify]: Extracting #1: cost 3 inf + 0 378.330 * * [simplify]: Extracting #2: cost 10 inf + 0 378.330 * * [simplify]: Extracting #3: cost 75 inf + 0 378.330 * * [simplify]: Extracting #4: cost 142 inf + 1 378.331 * * [simplify]: Extracting #5: cost 185 inf + 207 378.332 * * [simplify]: Extracting #6: cost 245 inf + 2363 378.334 * * [simplify]: Extracting #7: cost 210 inf + 9026 378.337 * * [simplify]: Extracting #8: cost 140 inf + 25955 378.345 * * [simplify]: Extracting #9: cost 81 inf + 50148 378.361 * * [simplify]: Extracting #10: cost 16 inf + 99757 378.387 * * [simplify]: Extracting #11: cost 1 inf + 113871 378.412 * * [simplify]: Extracting #12: cost 0 inf + 115536 378.435 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) 378.435 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 378.436 * * * * [progress]: [ 831 / 5906 ] simplifiying candidate # 378.436 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 378.437 * * [simplify]: iters left: 6 (45 enodes) 378.449 * * [simplify]: iters left: 5 (212 enodes) 378.499 * * [simplify]: Extracting #0: cost 1 inf + 0 378.499 * * [simplify]: Extracting #1: cost 3 inf + 0 378.499 * * [simplify]: Extracting #2: cost 10 inf + 0 378.499 * * [simplify]: Extracting #3: cost 67 inf + 0 378.499 * * [simplify]: Extracting #4: cost 123 inf + 2 378.500 * * [simplify]: Extracting #5: cost 152 inf + 698 378.501 * * [simplify]: Extracting #6: cost 211 inf + 2932 378.502 * * [simplify]: Extracting #7: cost 214 inf + 3302 378.504 * * [simplify]: Extracting #8: cost 177 inf + 8016 378.507 * * [simplify]: Extracting #9: cost 119 inf + 25465 378.517 * * [simplify]: Extracting #10: cost 35 inf + 64090 378.534 * * [simplify]: Extracting #11: cost 1 inf + 93990 378.553 * * [simplify]: Extracting #12: cost 0 inf + 95575 378.574 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) 378.574 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 378.574 * * * * [progress]: [ 832 / 5906 ] simplifiying candidate # 378.575 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 378.575 * * [simplify]: iters left: 6 (50 enodes) 378.589 * * [simplify]: iters left: 5 (240 enodes) 378.643 * * [simplify]: Extracting #0: cost 1 inf + 0 378.643 * * [simplify]: Extracting #1: cost 3 inf + 0 378.643 * * [simplify]: Extracting #2: cost 10 inf + 0 378.644 * * [simplify]: Extracting #3: cost 75 inf + 0 378.644 * * [simplify]: Extracting #4: cost 142 inf + 1 378.644 * * [simplify]: Extracting #5: cost 185 inf + 207 378.645 * * [simplify]: Extracting #6: cost 247 inf + 1799 378.647 * * [simplify]: Extracting #7: cost 216 inf + 7775 378.653 * * [simplify]: Extracting #8: cost 132 inf + 30738 378.668 * * [simplify]: Extracting #9: cost 31 inf + 90341 378.690 * * [simplify]: Extracting #10: cost 2 inf + 113707 378.713 * * [simplify]: Extracting #11: cost 0 inf + 114056 378.737 * * [simplify]: Extracting #12: cost 0 inf + 113776 378.763 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 378.763 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 378.763 * * * * [progress]: [ 833 / 5906 ] simplifiying candidate # 378.764 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 378.764 * * [simplify]: iters left: 6 (45 enodes) 378.776 * * [simplify]: iters left: 5 (212 enodes) 378.822 * * [simplify]: Extracting #0: cost 1 inf + 0 378.822 * * [simplify]: Extracting #1: cost 3 inf + 0 378.822 * * [simplify]: Extracting #2: cost 10 inf + 0 378.822 * * [simplify]: Extracting #3: cost 66 inf + 0 378.822 * * [simplify]: Extracting #4: cost 123 inf + 2 378.823 * * [simplify]: Extracting #5: cost 155 inf + 333 378.823 * * [simplify]: Extracting #6: cost 216 inf + 2082 378.825 * * [simplify]: Extracting #7: cost 212 inf + 3426 378.826 * * [simplify]: Extracting #8: cost 179 inf + 7692 378.830 * * [simplify]: Extracting #9: cost 122 inf + 24171 378.842 * * [simplify]: Extracting #10: cost 36 inf + 63725 378.858 * * [simplify]: Extracting #11: cost 1 inf + 94390 378.877 * * [simplify]: Extracting #12: cost 0 inf + 95975 378.896 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 378.896 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 378.897 * * * * [progress]: [ 834 / 5906 ] simplifiying candidate # 378.897 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 378.897 * * [simplify]: iters left: 6 (51 enodes) 378.911 * * [simplify]: iters left: 5 (244 enodes) 378.969 * * [simplify]: Extracting #0: cost 1 inf + 0 378.969 * * [simplify]: Extracting #1: cost 3 inf + 0 378.969 * * [simplify]: Extracting #2: cost 6 inf + 0 378.969 * * [simplify]: Extracting #3: cost 56 inf + 0 378.970 * * [simplify]: Extracting #4: cost 130 inf + 0 378.970 * * [simplify]: Extracting #5: cost 207 inf + 0 378.971 * * [simplify]: Extracting #6: cost 268 inf + 2004 378.974 * * [simplify]: Extracting #7: cost 188 inf + 20488 378.980 * * [simplify]: Extracting #8: cost 115 inf + 45560 378.990 * * [simplify]: Extracting #9: cost 65 inf + 59572 379.003 * * [simplify]: Extracting #10: cost 32 inf + 82605 379.027 * * [simplify]: Extracting #11: cost 2 inf + 118795 379.054 * * [simplify]: Extracting #12: cost 0 inf + 121765 379.078 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 379.078 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 379.078 * * * * [progress]: [ 835 / 5906 ] simplifiying candidate # 379.078 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 379.079 * * [simplify]: iters left: 6 (52 enodes) 379.094 * * [simplify]: iters left: 5 (253 enodes) 379.154 * * [simplify]: Extracting #0: cost 1 inf + 0 379.154 * * [simplify]: Extracting #1: cost 3 inf + 0 379.154 * * [simplify]: Extracting #2: cost 6 inf + 0 379.154 * * [simplify]: Extracting #3: cost 60 inf + 0 379.154 * * [simplify]: Extracting #4: cost 153 inf + 0 379.155 * * [simplify]: Extracting #5: cost 221 inf + 44 379.156 * * [simplify]: Extracting #6: cost 246 inf + 6064 379.159 * * [simplify]: Extracting #7: cost 190 inf + 15024 379.165 * * [simplify]: Extracting #8: cost 136 inf + 35524 379.174 * * [simplify]: Extracting #9: cost 83 inf + 56952 379.188 * * [simplify]: Extracting #10: cost 52 inf + 69562 379.209 * * [simplify]: Extracting #11: cost 5 inf + 119177 379.233 * * [simplify]: Extracting #12: cost 1 inf + 123597 379.258 * * [simplify]: Extracting #13: cost 0 inf + 125702 379.282 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 379.283 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 379.283 * * * * [progress]: [ 836 / 5906 ] simplifiying candidate # 379.283 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 379.284 * * [simplify]: iters left: 6 (52 enodes) 379.300 * * [simplify]: iters left: 5 (253 enodes) 379.360 * * [simplify]: Extracting #0: cost 1 inf + 0 379.360 * * [simplify]: Extracting #1: cost 3 inf + 0 379.360 * * [simplify]: Extracting #2: cost 6 inf + 0 379.361 * * [simplify]: Extracting #3: cost 62 inf + 0 379.361 * * [simplify]: Extracting #4: cost 151 inf + 0 379.361 * * [simplify]: Extracting #5: cost 217 inf + 44 379.363 * * [simplify]: Extracting #6: cost 257 inf + 3315 379.365 * * [simplify]: Extracting #7: cost 190 inf + 14378 379.374 * * [simplify]: Extracting #8: cost 132 inf + 36929 379.383 * * [simplify]: Extracting #9: cost 92 inf + 53043 379.394 * * [simplify]: Extracting #10: cost 53 inf + 67649 379.413 * * [simplify]: Extracting #11: cost 7 inf + 113199 379.438 * * [simplify]: Extracting #12: cost 1 inf + 121189 379.463 * * [simplify]: Extracting #13: cost 0 inf + 123294 379.489 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) 379.489 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 379.489 * * * * [progress]: [ 837 / 5906 ] simplifiying candidate # 379.490 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 379.490 * * [simplify]: iters left: 6 (46 enodes) 379.503 * * [simplify]: iters left: 5 (217 enodes) 379.553 * * [simplify]: Extracting #0: cost 1 inf + 0 379.553 * * [simplify]: Extracting #1: cost 3 inf + 0 379.553 * * [simplify]: Extracting #2: cost 6 inf + 0 379.554 * * [simplify]: Extracting #3: cost 54 inf + 0 379.554 * * [simplify]: Extracting #4: cost 119 inf + 0 379.554 * * [simplify]: Extracting #5: cost 166 inf + 2 379.555 * * [simplify]: Extracting #6: cost 227 inf + 785 379.556 * * [simplify]: Extracting #7: cost 205 inf + 3643 379.559 * * [simplify]: Extracting #8: cost 148 inf + 20544 379.566 * * [simplify]: Extracting #9: cost 95 inf + 39630 379.576 * * [simplify]: Extracting #10: cost 45 inf + 56896 379.591 * * [simplify]: Extracting #11: cost 11 inf + 87678 379.612 * * [simplify]: Extracting #12: cost 0 inf + 100153 379.633 * * [simplify]: Extracting #13: cost 0 inf + 100113 379.656 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 379.656 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 379.657 * * * * [progress]: [ 838 / 5906 ] simplifiying candidate # 379.657 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 379.658 * * [simplify]: iters left: 6 (51 enodes) 379.672 * * [simplify]: iters left: 5 (245 enodes) 379.727 * * [simplify]: Extracting #0: cost 1 inf + 0 379.727 * * [simplify]: Extracting #1: cost 3 inf + 0 379.727 * * [simplify]: Extracting #2: cost 10 inf + 0 379.727 * * [simplify]: Extracting #3: cost 74 inf + 0 379.727 * * [simplify]: Extracting #4: cost 137 inf + 1 379.728 * * [simplify]: Extracting #5: cost 186 inf + 249 379.731 * * [simplify]: Extracting #6: cost 236 inf + 2538 379.733 * * [simplify]: Extracting #7: cost 187 inf + 11655 379.739 * * [simplify]: Extracting #8: cost 116 inf + 35153 379.748 * * [simplify]: Extracting #9: cost 57 inf + 60179 379.766 * * [simplify]: Extracting #10: cost 18 inf + 95234 379.790 * * [simplify]: Extracting #11: cost 1 inf + 113219 379.814 * * [simplify]: Extracting #12: cost 0 inf + 114884 379.839 * * [simplify]: Extracting #13: cost 0 inf + 114844 379.864 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 379.864 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 379.864 * * * * [progress]: [ 839 / 5906 ] simplifiying candidate # 379.864 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 379.865 * * [simplify]: iters left: 6 (46 enodes) 379.877 * * [simplify]: iters left: 5 (217 enodes) 379.932 * * [simplify]: Extracting #0: cost 1 inf + 0 379.932 * * [simplify]: Extracting #1: cost 3 inf + 0 379.932 * * [simplify]: Extracting #2: cost 10 inf + 0 379.932 * * [simplify]: Extracting #3: cost 66 inf + 0 379.932 * * [simplify]: Extracting #4: cost 117 inf + 44 379.933 * * [simplify]: Extracting #5: cost 154 inf + 618 379.934 * * [simplify]: Extracting #6: cost 208 inf + 2855 379.935 * * [simplify]: Extracting #7: cost 187 inf + 6197 379.938 * * [simplify]: Extracting #8: cost 136 inf + 21765 379.945 * * [simplify]: Extracting #9: cost 83 inf + 41905 379.955 * * [simplify]: Extracting #10: cost 39 inf + 58841 379.970 * * [simplify]: Extracting #11: cost 8 inf + 89243 379.990 * * [simplify]: Extracting #12: cost 0 inf + 96963 380.011 * * [simplify]: Extracting #13: cost 0 inf + 96803 380.032 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 380.032 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 380.032 * * * * [progress]: [ 840 / 5906 ] simplifiying candidate # 380.033 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 380.033 * * [simplify]: iters left: 6 (51 enodes) 380.047 * * [simplify]: iters left: 5 (245 enodes) 380.103 * * [simplify]: Extracting #0: cost 1 inf + 0 380.103 * * [simplify]: Extracting #1: cost 3 inf + 0 380.104 * * [simplify]: Extracting #2: cost 10 inf + 0 380.106 * * [simplify]: Extracting #3: cost 74 inf + 0 380.107 * * [simplify]: Extracting #4: cost 137 inf + 1 380.107 * * [simplify]: Extracting #5: cost 187 inf + 207 380.108 * * [simplify]: Extracting #6: cost 239 inf + 2493 380.111 * * [simplify]: Extracting #7: cost 181 inf + 13346 380.118 * * [simplify]: Extracting #8: cost 115 inf + 36737 380.128 * * [simplify]: Extracting #9: cost 57 inf + 62019 380.144 * * [simplify]: Extracting #10: cost 18 inf + 96114 380.168 * * [simplify]: Extracting #11: cost 1 inf + 114099 380.192 * * [simplify]: Extracting #12: cost 0 inf + 115764 380.219 * * [simplify]: Extracting #13: cost 0 inf + 115724 380.243 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 380.243 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 380.244 * * * * [progress]: [ 841 / 5906 ] simplifiying candidate # 380.244 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 380.244 * * [simplify]: iters left: 6 (46 enodes) 380.257 * * [simplify]: iters left: 5 (217 enodes) 380.308 * * [simplify]: Extracting #0: cost 1 inf + 0 380.308 * * [simplify]: Extracting #1: cost 3 inf + 0 380.308 * * [simplify]: Extracting #2: cost 10 inf + 0 380.308 * * [simplify]: Extracting #3: cost 65 inf + 0 380.308 * * [simplify]: Extracting #4: cost 117 inf + 44 380.309 * * [simplify]: Extracting #5: cost 147 inf + 1472 380.310 * * [simplify]: Extracting #6: cost 207 inf + 3017 380.311 * * [simplify]: Extracting #7: cost 188 inf + 6155 380.314 * * [simplify]: Extracting #8: cost 135 inf + 21765 380.321 * * [simplify]: Extracting #9: cost 82 inf + 42829 380.330 * * [simplify]: Extracting #10: cost 39 inf + 59241 380.346 * * [simplify]: Extracting #11: cost 8 inf + 89643 380.367 * * [simplify]: Extracting #12: cost 0 inf + 97363 380.387 * * [simplify]: Extracting #13: cost 0 inf + 97203 380.409 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 380.409 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 380.409 * * * * [progress]: [ 842 / 5906 ] simplifiying candidate # 380.410 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 380.410 * * [simplify]: iters left: 6 (52 enodes) 380.424 * * [simplify]: iters left: 5 (254 enodes) 380.487 * * [simplify]: Extracting #0: cost 1 inf + 0 380.488 * * [simplify]: Extracting #1: cost 3 inf + 0 380.488 * * [simplify]: Extracting #2: cost 6 inf + 0 380.488 * * [simplify]: Extracting #3: cost 56 inf + 0 380.488 * * [simplify]: Extracting #4: cost 130 inf + 0 380.488 * * [simplify]: Extracting #5: cost 210 inf + 0 380.489 * * [simplify]: Extracting #6: cost 302 inf + 971 380.491 * * [simplify]: Extracting #7: cost 244 inf + 12350 380.496 * * [simplify]: Extracting #8: cost 158 inf + 34538 380.506 * * [simplify]: Extracting #9: cost 94 inf + 58117 380.521 * * [simplify]: Extracting #10: cost 49 inf + 76285 380.541 * * [simplify]: Extracting #11: cost 13 inf + 115305 380.568 * * [simplify]: Extracting #12: cost 1 inf + 130045 380.594 * * [simplify]: Extracting #13: cost 0 inf + 132110 380.620 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 380.621 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 380.621 * * * * [progress]: [ 843 / 5906 ] simplifiying candidate # 380.622 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 380.622 * * [simplify]: iters left: 6 (53 enodes) 380.636 * * [simplify]: iters left: 5 (263 enodes) 380.700 * * [simplify]: Extracting #0: cost 1 inf + 0 380.700 * * [simplify]: Extracting #1: cost 3 inf + 0 380.700 * * [simplify]: Extracting #2: cost 6 inf + 0 380.700 * * [simplify]: Extracting #3: cost 60 inf + 0 380.701 * * [simplify]: Extracting #4: cost 153 inf + 0 380.701 * * [simplify]: Extracting #5: cost 224 inf + 44 380.703 * * [simplify]: Extracting #6: cost 282 inf + 4405 380.705 * * [simplify]: Extracting #7: cost 243 inf + 12495 380.711 * * [simplify]: Extracting #8: cost 149 inf + 38932 380.724 * * [simplify]: Extracting #9: cost 61 inf + 75268 380.750 * * [simplify]: Extracting #10: cost 8 inf + 127167 380.778 * * [simplify]: Extracting #11: cost 0 inf + 136607 380.806 * * [simplify]: Extracting #12: cost 0 inf + 136447 380.835 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 380.835 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 380.836 * * * * [progress]: [ 844 / 5906 ] simplifiying candidate # 380.836 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 380.836 * * [simplify]: iters left: 6 (53 enodes) 380.853 * * [simplify]: iters left: 5 (263 enodes) 380.915 * * [simplify]: Extracting #0: cost 1 inf + 0 380.915 * * [simplify]: Extracting #1: cost 3 inf + 0 380.915 * * [simplify]: Extracting #2: cost 6 inf + 0 380.915 * * [simplify]: Extracting #3: cost 62 inf + 0 380.916 * * [simplify]: Extracting #4: cost 151 inf + 0 380.916 * * [simplify]: Extracting #5: cost 220 inf + 44 380.918 * * [simplify]: Extracting #6: cost 278 inf + 4163 380.921 * * [simplify]: Extracting #7: cost 228 inf + 16493 380.929 * * [simplify]: Extracting #8: cost 149 inf + 37121 380.942 * * [simplify]: Extracting #9: cost 62 inf + 71653 380.956 * * [simplify]: Extracting #10: cost 45 inf + 82914 380.977 * * [simplify]: Extracting #11: cost 8 inf + 121519 381.004 * * [simplify]: Extracting #12: cost 0 inf + 131479 381.031 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 381.031 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 381.031 * * * * [progress]: [ 845 / 5906 ] simplifiying candidate # 381.032 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 381.032 * * [simplify]: iters left: 6 (47 enodes) 381.045 * * [simplify]: iters left: 5 (227 enodes) 381.099 * * [simplify]: Extracting #0: cost 1 inf + 0 381.099 * * [simplify]: Extracting #1: cost 3 inf + 0 381.099 * * [simplify]: Extracting #2: cost 6 inf + 0 381.100 * * [simplify]: Extracting #3: cost 54 inf + 0 381.100 * * [simplify]: Extracting #4: cost 119 inf + 0 381.100 * * [simplify]: Extracting #5: cost 168 inf + 44 381.101 * * [simplify]: Extracting #6: cost 247 inf + 1277 381.106 * * [simplify]: Extracting #7: cost 229 inf + 5100 381.110 * * [simplify]: Extracting #8: cost 145 inf + 23610 381.118 * * [simplify]: Extracting #9: cost 80 inf + 45715 381.130 * * [simplify]: Extracting #10: cost 32 inf + 74377 381.150 * * [simplify]: Extracting #11: cost 4 inf + 102598 381.171 * * [simplify]: Extracting #12: cost 1 inf + 107433 381.193 * * [simplify]: Extracting #13: cost 0 inf + 109298 381.215 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 381.215 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 381.216 * * * * [progress]: [ 846 / 5906 ] simplifiying candidate # 381.216 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 381.216 * * [simplify]: iters left: 6 (52 enodes) 381.231 * * [simplify]: iters left: 5 (255 enodes) 381.293 * * [simplify]: Extracting #0: cost 1 inf + 0 381.293 * * [simplify]: Extracting #1: cost 3 inf + 0 381.293 * * [simplify]: Extracting #2: cost 10 inf + 0 381.293 * * [simplify]: Extracting #3: cost 74 inf + 0 381.293 * * [simplify]: Extracting #4: cost 137 inf + 1 381.294 * * [simplify]: Extracting #5: cost 189 inf + 248 381.295 * * [simplify]: Extracting #6: cost 270 inf + 1685 381.297 * * [simplify]: Extracting #7: cost 231 inf + 10462 381.300 * * [simplify]: Extracting #8: cost 178 inf + 20426 381.305 * * [simplify]: Extracting #9: cost 129 inf + 34496 381.316 * * [simplify]: Extracting #10: cost 66 inf + 62469 381.335 * * [simplify]: Extracting #11: cost 15 inf + 108534 381.359 * * [simplify]: Extracting #12: cost 1 inf + 123604 381.387 * * [simplify]: Extracting #13: cost 0 inf + 125669 381.414 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 381.414 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 381.415 * * * * [progress]: [ 847 / 5906 ] simplifiying candidate # 381.415 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 381.415 * * [simplify]: iters left: 6 (47 enodes) 381.428 * * [simplify]: iters left: 5 (227 enodes) 381.481 * * [simplify]: Extracting #0: cost 1 inf + 0 381.481 * * [simplify]: Extracting #1: cost 3 inf + 0 381.481 * * [simplify]: Extracting #2: cost 10 inf + 0 381.481 * * [simplify]: Extracting #3: cost 66 inf + 0 381.481 * * [simplify]: Extracting #4: cost 117 inf + 44 381.482 * * [simplify]: Extracting #5: cost 153 inf + 1186 381.483 * * [simplify]: Extracting #6: cost 235 inf + 2974 381.484 * * [simplify]: Extracting #7: cost 221 inf + 5991 381.488 * * [simplify]: Extracting #8: cost 127 inf + 26820 381.498 * * [simplify]: Extracting #9: cost 56 inf + 56545 381.513 * * [simplify]: Extracting #10: cost 11 inf + 91073 381.534 * * [simplify]: Extracting #11: cost 1 inf + 102563 381.556 * * [simplify]: Extracting #12: cost 0 inf + 104348 381.580 * * [simplify]: Extracting #13: cost 0 inf + 104268 381.601 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) 381.601 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 381.602 * * * * [progress]: [ 848 / 5906 ] simplifiying candidate # 381.602 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 381.602 * * [simplify]: iters left: 6 (52 enodes) 381.617 * * [simplify]: iters left: 5 (255 enodes) 381.687 * * [simplify]: Extracting #0: cost 1 inf + 0 381.687 * * [simplify]: Extracting #1: cost 3 inf + 0 381.687 * * [simplify]: Extracting #2: cost 10 inf + 0 381.688 * * [simplify]: Extracting #3: cost 74 inf + 0 381.688 * * [simplify]: Extracting #4: cost 137 inf + 1 381.688 * * [simplify]: Extracting #5: cost 189 inf + 248 381.689 * * [simplify]: Extracting #6: cost 272 inf + 1442 381.692 * * [simplify]: Extracting #7: cost 231 inf + 10502 381.695 * * [simplify]: Extracting #8: cost 178 inf + 20858 381.701 * * [simplify]: Extracting #9: cost 129 inf + 34616 381.711 * * [simplify]: Extracting #10: cost 65 inf + 63694 381.731 * * [simplify]: Extracting #11: cost 15 inf + 109494 381.759 * * [simplify]: Extracting #12: cost 1 inf + 124564 381.784 * * [simplify]: Extracting #13: cost 0 inf + 126629 381.810 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 381.810 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 381.811 * * * * [progress]: [ 849 / 5906 ] simplifiying candidate # 381.811 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 381.812 * * [simplify]: iters left: 6 (47 enodes) 381.825 * * [simplify]: iters left: 5 (227 enodes) 381.878 * * [simplify]: Extracting #0: cost 1 inf + 0 381.878 * * [simplify]: Extracting #1: cost 3 inf + 0 381.878 * * [simplify]: Extracting #2: cost 10 inf + 0 381.878 * * [simplify]: Extracting #3: cost 65 inf + 0 381.878 * * [simplify]: Extracting #4: cost 117 inf + 44 381.879 * * [simplify]: Extracting #5: cost 157 inf + 618 381.880 * * [simplify]: Extracting #6: cost 236 inf + 2772 381.882 * * [simplify]: Extracting #7: cost 219 inf + 6074 381.886 * * [simplify]: Extracting #8: cost 130 inf + 26091 381.895 * * [simplify]: Extracting #9: cost 56 inf + 57166 381.912 * * [simplify]: Extracting #10: cost 11 inf + 91633 381.935 * * [simplify]: Extracting #11: cost 1 inf + 103123 381.957 * * [simplify]: Extracting #12: cost 0 inf + 104908 381.982 * * [simplify]: Extracting #13: cost 0 inf + 104828 382.006 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) 382.006 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 382.007 * * * * [progress]: [ 850 / 5906 ] simplifiying candidate # 382.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 382.008 * * [simplify]: iters left: 6 (48 enodes) 382.021 * * [simplify]: iters left: 5 (226 enodes) 382.075 * * [simplify]: Extracting #0: cost 1 inf + 0 382.075 * * [simplify]: Extracting #1: cost 3 inf + 0 382.075 * * [simplify]: Extracting #2: cost 6 inf + 0 382.075 * * [simplify]: Extracting #3: cost 48 inf + 0 382.075 * * [simplify]: Extracting #4: cost 112 inf + 0 382.075 * * [simplify]: Extracting #5: cost 180 inf + 0 382.076 * * [simplify]: Extracting #6: cost 245 inf + 799 382.077 * * [simplify]: Extracting #7: cost 207 inf + 6775 382.081 * * [simplify]: Extracting #8: cost 117 inf + 26074 382.089 * * [simplify]: Extracting #9: cost 51 inf + 53171 382.107 * * [simplify]: Extracting #10: cost 4 inf + 101576 382.130 * * [simplify]: Extracting #11: cost 0 inf + 105956 382.151 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 382.151 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 382.151 * * * * [progress]: [ 851 / 5906 ] simplifiying candidate # 382.152 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 382.152 * * [simplify]: iters left: 6 (49 enodes) 382.166 * * [simplify]: iters left: 5 (235 enodes) 382.223 * * [simplify]: Extracting #0: cost 1 inf + 0 382.223 * * [simplify]: Extracting #1: cost 3 inf + 0 382.223 * * [simplify]: Extracting #2: cost 6 inf + 0 382.223 * * [simplify]: Extracting #3: cost 52 inf + 0 382.223 * * [simplify]: Extracting #4: cost 135 inf + 0 382.224 * * [simplify]: Extracting #5: cost 193 inf + 85 382.225 * * [simplify]: Extracting #6: cost 228 inf + 3797 382.227 * * [simplify]: Extracting #7: cost 181 inf + 13607 382.232 * * [simplify]: Extracting #8: cost 118 inf + 28752 382.240 * * [simplify]: Extracting #9: cost 57 inf + 52702 382.257 * * [simplify]: Extracting #10: cost 12 inf + 93934 382.279 * * [simplify]: Extracting #11: cost 0 inf + 107173 382.304 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2)))))) 382.304 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 382.304 * * * * [progress]: [ 852 / 5906 ] simplifiying candidate # 382.304 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 382.305 * * [simplify]: iters left: 6 (49 enodes) 382.318 * * [simplify]: iters left: 5 (235 enodes) 382.374 * * [simplify]: Extracting #0: cost 1 inf + 0 382.374 * * [simplify]: Extracting #1: cost 3 inf + 0 382.374 * * [simplify]: Extracting #2: cost 6 inf + 0 382.375 * * [simplify]: Extracting #3: cost 54 inf + 0 382.375 * * [simplify]: Extracting #4: cost 133 inf + 0 382.375 * * [simplify]: Extracting #5: cost 188 inf + 166 382.377 * * [simplify]: Extracting #6: cost 219 inf + 4886 382.379 * * [simplify]: Extracting #7: cost 181 inf + 13899 382.386 * * [simplify]: Extracting #8: cost 122 inf + 24720 382.392 * * [simplify]: Extracting #9: cost 78 inf + 40497 382.406 * * [simplify]: Extracting #10: cost 24 inf + 84402 382.426 * * [simplify]: Extracting #11: cost 1 inf + 104361 382.447 * * [simplify]: Extracting #12: cost 0 inf + 105125 382.467 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 382.467 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 382.468 * * * * [progress]: [ 853 / 5906 ] simplifiying candidate # 382.468 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 382.469 * * [simplify]: iters left: 6 (43 enodes) 382.482 * * [simplify]: iters left: 5 (198 enodes) 382.526 * * [simplify]: Extracting #0: cost 1 inf + 0 382.526 * * [simplify]: Extracting #1: cost 3 inf + 0 382.526 * * [simplify]: Extracting #2: cost 6 inf + 0 382.526 * * [simplify]: Extracting #3: cost 46 inf + 0 382.526 * * [simplify]: Extracting #4: cost 101 inf + 0 382.526 * * [simplify]: Extracting #5: cost 137 inf + 126 382.527 * * [simplify]: Extracting #6: cost 193 inf + 1153 382.528 * * [simplify]: Extracting #7: cost 174 inf + 4655 382.531 * * [simplify]: Extracting #8: cost 125 inf + 15402 382.536 * * [simplify]: Extracting #9: cost 78 inf + 35011 382.546 * * [simplify]: Extracting #10: cost 29 inf + 53992 382.562 * * [simplify]: Extracting #11: cost 7 inf + 73409 382.579 * * [simplify]: Extracting #12: cost 0 inf + 82064 382.596 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 382.596 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 382.597 * * * * [progress]: [ 854 / 5906 ] simplifiying candidate # 382.597 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 382.597 * * [simplify]: iters left: 6 (48 enodes) 382.610 * * [simplify]: iters left: 5 (226 enodes) 382.663 * * [simplify]: Extracting #0: cost 1 inf + 0 382.664 * * [simplify]: Extracting #1: cost 3 inf + 0 382.664 * * [simplify]: Extracting #2: cost 10 inf + 0 382.664 * * [simplify]: Extracting #3: cost 62 inf + 0 382.664 * * [simplify]: Extracting #4: cost 115 inf + 42 382.664 * * [simplify]: Extracting #5: cost 157 inf + 207 382.665 * * [simplify]: Extracting #6: cost 209 inf + 2448 382.667 * * [simplify]: Extracting #7: cost 179 inf + 8422 382.670 * * [simplify]: Extracting #8: cost 129 inf + 19046 382.675 * * [simplify]: Extracting #9: cost 84 inf + 34525 382.685 * * [simplify]: Extracting #10: cost 36 inf + 58620 382.700 * * [simplify]: Extracting #11: cost 6 inf + 87490 382.719 * * [simplify]: Extracting #12: cost 0 inf + 94640 382.739 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 382.739 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 382.740 * * * * [progress]: [ 855 / 5906 ] simplifiying candidate # 382.740 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 382.740 * * [simplify]: iters left: 6 (43 enodes) 382.754 * * [simplify]: iters left: 5 (198 enodes) 382.797 * * [simplify]: Extracting #0: cost 1 inf + 0 382.797 * * [simplify]: Extracting #1: cost 3 inf + 0 382.797 * * [simplify]: Extracting #2: cost 10 inf + 0 382.797 * * [simplify]: Extracting #3: cost 54 inf + 0 382.797 * * [simplify]: Extracting #4: cost 96 inf + 44 382.798 * * [simplify]: Extracting #5: cost 123 inf + 861 382.799 * * [simplify]: Extracting #6: cost 175 inf + 2934 382.800 * * [simplify]: Extracting #7: cost 170 inf + 4653 382.803 * * [simplify]: Extracting #8: cost 103 inf + 19068 382.810 * * [simplify]: Extracting #9: cost 47 inf + 42231 382.824 * * [simplify]: Extracting #10: cost 9 inf + 68952 382.838 * * [simplify]: Extracting #11: cost 0 inf + 77079 382.854 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 382.854 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 382.855 * * * * [progress]: [ 856 / 5906 ] simplifiying candidate # 382.855 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 382.855 * * [simplify]: iters left: 6 (48 enodes) 382.870 * * [simplify]: iters left: 5 (226 enodes) 382.923 * * [simplify]: Extracting #0: cost 1 inf + 0 382.923 * * [simplify]: Extracting #1: cost 3 inf + 0 382.923 * * [simplify]: Extracting #2: cost 10 inf + 0 382.923 * * [simplify]: Extracting #3: cost 62 inf + 0 382.924 * * [simplify]: Extracting #4: cost 115 inf + 42 382.924 * * [simplify]: Extracting #5: cost 155 inf + 290 382.925 * * [simplify]: Extracting #6: cost 201 inf + 4061 382.927 * * [simplify]: Extracting #7: cost 178 inf + 8653 382.929 * * [simplify]: Extracting #8: cost 128 inf + 19258 382.935 * * [simplify]: Extracting #9: cost 86 inf + 33916 382.944 * * [simplify]: Extracting #10: cost 35 inf + 60325 382.960 * * [simplify]: Extracting #11: cost 6 inf + 88290 382.979 * * [simplify]: Extracting #12: cost 0 inf + 95440 382.999 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 383.000 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 383.000 * * * * [progress]: [ 857 / 5906 ] simplifiying candidate # 383.001 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 383.001 * * [simplify]: iters left: 6 (43 enodes) 383.016 * * [simplify]: iters left: 5 (198 enodes) 383.059 * * [simplify]: Extracting #0: cost 1 inf + 0 383.059 * * [simplify]: Extracting #1: cost 3 inf + 0 383.059 * * [simplify]: Extracting #2: cost 10 inf + 0 383.059 * * [simplify]: Extracting #3: cost 53 inf + 0 383.059 * * [simplify]: Extracting #4: cost 96 inf + 44 383.059 * * [simplify]: Extracting #5: cost 123 inf + 901 383.060 * * [simplify]: Extracting #6: cost 175 inf + 2974 383.061 * * [simplify]: Extracting #7: cost 170 inf + 4653 383.065 * * [simplify]: Extracting #8: cost 92 inf + 23919 383.072 * * [simplify]: Extracting #9: cost 41 inf + 45179 383.087 * * [simplify]: Extracting #10: cost 6 inf + 72715 383.102 * * [simplify]: Extracting #11: cost 0 inf + 78999 383.118 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 383.118 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 383.118 * * * * [progress]: [ 858 / 5906 ] simplifiying candidate # 383.119 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 383.119 * * [simplify]: iters left: 6 (52 enodes) 383.134 * * [simplify]: iters left: 5 (249 enodes) 383.194 * * [simplify]: Extracting #0: cost 1 inf + 0 383.194 * * [simplify]: Extracting #1: cost 3 inf + 0 383.194 * * [simplify]: Extracting #2: cost 6 inf + 0 383.194 * * [simplify]: Extracting #3: cost 53 inf + 0 383.194 * * [simplify]: Extracting #4: cost 118 inf + 0 383.195 * * [simplify]: Extracting #5: cost 183 inf + 0 383.195 * * [simplify]: Extracting #6: cost 263 inf + 131 383.197 * * [simplify]: Extracting #7: cost 227 inf + 5804 383.200 * * [simplify]: Extracting #8: cost 139 inf + 25639 383.208 * * [simplify]: Extracting #9: cost 86 inf + 44608 383.218 * * [simplify]: Extracting #10: cost 49 inf + 59423 383.235 * * [simplify]: Extracting #11: cost 6 inf + 101898 383.257 * * [simplify]: Extracting #12: cost 1 inf + 107823 383.281 * * [simplify]: Extracting #13: cost 0 inf + 109648 383.303 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) 383.303 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 383.303 * * * * [progress]: [ 859 / 5906 ] simplifiying candidate # 383.304 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 383.304 * * [simplify]: iters left: 6 (53 enodes) 383.319 * * [simplify]: iters left: 5 (258 enodes) 383.380 * * [simplify]: Extracting #0: cost 1 inf + 0 383.380 * * [simplify]: Extracting #1: cost 3 inf + 0 383.380 * * [simplify]: Extracting #2: cost 6 inf + 0 383.380 * * [simplify]: Extracting #3: cost 55 inf + 0 383.380 * * [simplify]: Extracting #4: cost 139 inf + 0 383.381 * * [simplify]: Extracting #5: cost 195 inf + 44 383.382 * * [simplify]: Extracting #6: cost 237 inf + 4205 383.384 * * [simplify]: Extracting #7: cost 195 inf + 12690 383.389 * * [simplify]: Extracting #8: cost 135 inf + 29408 383.398 * * [simplify]: Extracting #9: cost 83 inf + 49089 383.408 * * [simplify]: Extracting #10: cost 46 inf + 63886 383.426 * * [simplify]: Extracting #11: cost 6 inf + 103166 383.452 * * [simplify]: Extracting #12: cost 0 inf + 112396 383.476 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 383.476 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 383.477 * * * * [progress]: [ 860 / 5906 ] simplifiying candidate # 383.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 383.477 * * [simplify]: iters left: 6 (53 enodes) 383.492 * * [simplify]: iters left: 5 (258 enodes) 383.552 * * [simplify]: Extracting #0: cost 1 inf + 0 383.552 * * [simplify]: Extracting #1: cost 3 inf + 0 383.552 * * [simplify]: Extracting #2: cost 6 inf + 0 383.552 * * [simplify]: Extracting #3: cost 57 inf + 0 383.552 * * [simplify]: Extracting #4: cost 137 inf + 0 383.553 * * [simplify]: Extracting #5: cost 191 inf + 44 383.554 * * [simplify]: Extracting #6: cost 222 inf + 6624 383.557 * * [simplify]: Extracting #7: cost 187 inf + 14491 383.562 * * [simplify]: Extracting #8: cost 123 inf + 31018 383.572 * * [simplify]: Extracting #9: cost 56 inf + 57748 383.585 * * [simplify]: Extracting #10: cost 33 inf + 73163 383.603 * * [simplify]: Extracting #11: cost 6 inf + 103358 383.628 * * [simplify]: Extracting #12: cost 0 inf + 111708 383.650 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 383.650 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 383.651 * * * * [progress]: [ 861 / 5906 ] simplifiying candidate # 383.651 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 383.652 * * [simplify]: iters left: 6 (47 enodes) 383.666 * * [simplify]: iters left: 5 (221 enodes) 383.716 * * [simplify]: Extracting #0: cost 1 inf + 0 383.716 * * [simplify]: Extracting #1: cost 3 inf + 0 383.716 * * [simplify]: Extracting #2: cost 6 inf + 0 383.716 * * [simplify]: Extracting #3: cost 50 inf + 0 383.716 * * [simplify]: Extracting #4: cost 107 inf + 0 383.716 * * [simplify]: Extracting #5: cost 141 inf + 44 383.717 * * [simplify]: Extracting #6: cost 203 inf + 1196 383.719 * * [simplify]: Extracting #7: cost 183 inf + 5223 383.721 * * [simplify]: Extracting #8: cost 124 inf + 17476 383.728 * * [simplify]: Extracting #9: cost 66 inf + 40048 383.743 * * [simplify]: Extracting #10: cost 14 inf + 76859 383.762 * * [simplify]: Extracting #11: cost 0 inf + 90293 383.781 * * [simplify]: Extracting #12: cost 0 inf + 90253 383.802 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 383.802 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 383.803 * * * * [progress]: [ 862 / 5906 ] simplifiying candidate # 383.803 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 383.803 * * [simplify]: iters left: 6 (52 enodes) 383.818 * * [simplify]: iters left: 5 (249 enodes) 383.873 * * [simplify]: Extracting #0: cost 1 inf + 0 383.873 * * [simplify]: Extracting #1: cost 3 inf + 0 383.873 * * [simplify]: Extracting #2: cost 10 inf + 0 383.873 * * [simplify]: Extracting #3: cost 66 inf + 0 383.873 * * [simplify]: Extracting #4: cost 126 inf + 1 383.873 * * [simplify]: Extracting #5: cost 164 inf + 207 383.874 * * [simplify]: Extracting #6: cost 226 inf + 2246 383.879 * * [simplify]: Extracting #7: cost 201 inf + 8286 383.883 * * [simplify]: Extracting #8: cost 131 inf + 27136 383.890 * * [simplify]: Extracting #9: cost 95 inf + 39349 383.899 * * [simplify]: Extracting #10: cost 47 inf + 59217 383.911 * * [simplify]: Extracting #11: cost 30 inf + 70682 383.929 * * [simplify]: Extracting #12: cost 4 inf + 100412 383.951 * * [simplify]: Extracting #13: cost 1 inf + 105127 383.975 * * [simplify]: Extracting #14: cost 0 inf + 106992 383.998 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 383.998 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 383.999 * * * * [progress]: [ 863 / 5906 ] simplifiying candidate # 383.999 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 383.999 * * [simplify]: iters left: 6 (47 enodes) 384.013 * * [simplify]: iters left: 5 (222 enodes) 384.065 * * [simplify]: Extracting #0: cost 1 inf + 0 384.065 * * [simplify]: Extracting #1: cost 3 inf + 0 384.065 * * [simplify]: Extracting #2: cost 10 inf + 0 384.065 * * [simplify]: Extracting #3: cost 57 inf + 0 384.065 * * [simplify]: Extracting #4: cost 105 inf + 44 384.066 * * [simplify]: Extracting #5: cost 127 inf + 1306 384.067 * * [simplify]: Extracting #6: cost 191 inf + 3096 384.068 * * [simplify]: Extracting #7: cost 188 inf + 4569 384.070 * * [simplify]: Extracting #8: cost 143 inf + 11298 384.075 * * [simplify]: Extracting #9: cost 100 inf + 26809 384.083 * * [simplify]: Extracting #10: cost 41 inf + 50537 384.094 * * [simplify]: Extracting #11: cost 23 inf + 62614 384.108 * * [simplify]: Extracting #12: cost 4 inf + 81769 384.126 * * [simplify]: Extracting #13: cost 1 inf + 86444 384.143 * * [simplify]: Extracting #14: cost 0 inf + 88029 384.162 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 384.162 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 384.163 * * * * [progress]: [ 864 / 5906 ] simplifiying candidate # 384.163 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 384.163 * * [simplify]: iters left: 6 (52 enodes) 384.178 * * [simplify]: iters left: 5 (249 enodes) 384.235 * * [simplify]: Extracting #0: cost 1 inf + 0 384.235 * * [simplify]: Extracting #1: cost 3 inf + 0 384.235 * * [simplify]: Extracting #2: cost 10 inf + 0 384.236 * * [simplify]: Extracting #3: cost 66 inf + 0 384.236 * * [simplify]: Extracting #4: cost 126 inf + 1 384.236 * * [simplify]: Extracting #5: cost 164 inf + 207 384.237 * * [simplify]: Extracting #6: cost 229 inf + 1641 384.239 * * [simplify]: Extracting #7: cost 200 inf + 8708 384.243 * * [simplify]: Extracting #8: cost 132 inf + 26601 384.250 * * [simplify]: Extracting #9: cost 95 inf + 40029 384.259 * * [simplify]: Extracting #10: cost 47 inf + 60017 384.271 * * [simplify]: Extracting #11: cost 30 inf + 71482 384.290 * * [simplify]: Extracting #12: cost 4 inf + 101932 384.312 * * [simplify]: Extracting #13: cost 1 inf + 105927 384.337 * * [simplify]: Extracting #14: cost 0 inf + 107792 384.361 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 384.361 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 384.361 * * * * [progress]: [ 865 / 5906 ] simplifiying candidate # 384.362 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 384.362 * * [simplify]: iters left: 6 (47 enodes) 384.375 * * [simplify]: iters left: 5 (222 enodes) 384.425 * * [simplify]: Extracting #0: cost 1 inf + 0 384.425 * * [simplify]: Extracting #1: cost 3 inf + 0 384.425 * * [simplify]: Extracting #2: cost 10 inf + 0 384.425 * * [simplify]: Extracting #3: cost 56 inf + 0 384.426 * * [simplify]: Extracting #4: cost 104 inf + 86 384.426 * * [simplify]: Extracting #5: cost 121 inf + 1998 384.427 * * [simplify]: Extracting #6: cost 191 inf + 2976 384.428 * * [simplify]: Extracting #7: cost 188 inf + 4569 384.430 * * [simplify]: Extracting #8: cost 143 inf + 11458 384.435 * * [simplify]: Extracting #9: cost 96 inf + 28827 384.444 * * [simplify]: Extracting #10: cost 41 inf + 50857 384.454 * * [simplify]: Extracting #11: cost 23 inf + 62934 384.469 * * [simplify]: Extracting #12: cost 4 inf + 82089 384.486 * * [simplify]: Extracting #13: cost 1 inf + 86764 384.503 * * [simplify]: Extracting #14: cost 0 inf + 88349 384.522 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 384.522 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 384.523 * * * * [progress]: [ 866 / 5906 ] simplifiying candidate # 384.524 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 384.524 * * [simplify]: iters left: 6 (52 enodes) 384.538 * * [simplify]: iters left: 5 (253 enodes) 384.600 * * [simplify]: Extracting #0: cost 1 inf + 0 384.600 * * [simplify]: Extracting #1: cost 3 inf + 0 384.600 * * [simplify]: Extracting #2: cost 6 inf + 0 384.601 * * [simplify]: Extracting #3: cost 56 inf + 0 384.601 * * [simplify]: Extracting #4: cost 130 inf + 0 384.601 * * [simplify]: Extracting #5: cost 210 inf + 0 384.602 * * [simplify]: Extracting #6: cost 284 inf + 971 384.604 * * [simplify]: Extracting #7: cost 227 inf + 11137 384.609 * * [simplify]: Extracting #8: cost 127 inf + 36362 384.619 * * [simplify]: Extracting #9: cost 65 inf + 58302 384.641 * * [simplify]: Extracting #10: cost 9 inf + 113713 384.668 * * [simplify]: Extracting #11: cost 1 inf + 123029 384.696 * * [simplify]: Extracting #12: cost 0 inf + 124934 384.721 * * [simplify]: Extracting #13: cost 0 inf + 124894 384.747 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) 384.747 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 384.748 * * * * [progress]: [ 867 / 5906 ] simplifiying candidate # 384.748 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 384.748 * * [simplify]: iters left: 6 (53 enodes) 384.763 * * [simplify]: iters left: 5 (262 enodes) 384.826 * * [simplify]: Extracting #0: cost 1 inf + 0 384.827 * * [simplify]: Extracting #1: cost 3 inf + 0 384.827 * * [simplify]: Extracting #2: cost 6 inf + 0 384.827 * * [simplify]: Extracting #3: cost 60 inf + 0 384.827 * * [simplify]: Extracting #4: cost 153 inf + 0 384.827 * * [simplify]: Extracting #5: cost 224 inf + 44 384.829 * * [simplify]: Extracting #6: cost 258 inf + 5297 384.832 * * [simplify]: Extracting #7: cost 201 inf + 15969 384.836 * * [simplify]: Extracting #8: cost 164 inf + 24434 384.844 * * [simplify]: Extracting #9: cost 104 inf + 48682 384.857 * * [simplify]: Extracting #10: cost 36 inf + 81251 384.882 * * [simplify]: Extracting #11: cost 2 inf + 121381 384.908 * * [simplify]: Extracting #12: cost 0 inf + 124671 384.933 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 384.933 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 384.934 * * * * [progress]: [ 868 / 5906 ] simplifiying candidate # 384.934 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 384.934 * * [simplify]: iters left: 6 (53 enodes) 384.949 * * [simplify]: iters left: 5 (262 enodes) 385.014 * * [simplify]: Extracting #0: cost 1 inf + 0 385.014 * * [simplify]: Extracting #1: cost 3 inf + 0 385.014 * * [simplify]: Extracting #2: cost 6 inf + 0 385.014 * * [simplify]: Extracting #3: cost 62 inf + 0 385.014 * * [simplify]: Extracting #4: cost 151 inf + 0 385.015 * * [simplify]: Extracting #5: cost 221 inf + 2 385.016 * * [simplify]: Extracting #6: cost 255 inf + 5978 385.020 * * [simplify]: Extracting #7: cost 199 inf + 17773 385.026 * * [simplify]: Extracting #8: cost 139 inf + 35494 385.035 * * [simplify]: Extracting #9: cost 93 inf + 56193 385.050 * * [simplify]: Extracting #10: cost 42 inf + 75933 385.069 * * [simplify]: Extracting #11: cost 9 inf + 111558 385.093 * * [simplify]: Extracting #12: cost 0 inf + 122383 385.118 * * [simplify]: Extracting #13: cost 0 inf + 122343 385.143 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 385.143 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 385.144 * * * * [progress]: [ 869 / 5906 ] simplifiying candidate # 385.144 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 385.144 * * [simplify]: iters left: 6 (47 enodes) 385.157 * * [simplify]: iters left: 5 (226 enodes) 385.211 * * [simplify]: Extracting #0: cost 1 inf + 0 385.211 * * [simplify]: Extracting #1: cost 3 inf + 0 385.211 * * [simplify]: Extracting #2: cost 6 inf + 0 385.211 * * [simplify]: Extracting #3: cost 54 inf + 0 385.212 * * [simplify]: Extracting #4: cost 119 inf + 0 385.212 * * [simplify]: Extracting #5: cost 168 inf + 44 385.213 * * [simplify]: Extracting #6: cost 228 inf + 1480 385.214 * * [simplify]: Extracting #7: cost 206 inf + 5104 385.218 * * [simplify]: Extracting #8: cost 142 inf + 18387 385.228 * * [simplify]: Extracting #9: cost 66 inf + 48487 385.245 * * [simplify]: Extracting #10: cost 8 inf + 90535 385.264 * * [simplify]: Extracting #11: cost 1 inf + 97977 385.285 * * [simplify]: Extracting #12: cost 0 inf + 99842 385.306 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 385.306 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 385.306 * * * * [progress]: [ 870 / 5906 ] simplifiying candidate # 385.307 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 385.307 * * [simplify]: iters left: 6 (52 enodes) 385.322 * * [simplify]: iters left: 5 (254 enodes) 385.382 * * [simplify]: Extracting #0: cost 1 inf + 0 385.382 * * [simplify]: Extracting #1: cost 3 inf + 0 385.382 * * [simplify]: Extracting #2: cost 10 inf + 0 385.382 * * [simplify]: Extracting #3: cost 74 inf + 0 385.382 * * [simplify]: Extracting #4: cost 137 inf + 1 385.383 * * [simplify]: Extracting #5: cost 190 inf + 207 385.384 * * [simplify]: Extracting #6: cost 245 inf + 3099 385.386 * * [simplify]: Extracting #7: cost 205 inf + 11294 385.392 * * [simplify]: Extracting #8: cost 111 inf + 39610 385.405 * * [simplify]: Extracting #9: cost 52 inf + 66294 385.425 * * [simplify]: Extracting #10: cost 9 inf + 108468 385.449 * * [simplify]: Extracting #11: cost 1 inf + 118668 385.474 * * [simplify]: Extracting #12: cost 0 inf + 120853 385.500 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))) 385.500 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 385.501 * * * * [progress]: [ 871 / 5906 ] simplifiying candidate # 385.501 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 385.502 * * [simplify]: iters left: 6 (47 enodes) 385.517 * * [simplify]: iters left: 5 (226 enodes) 385.569 * * [simplify]: Extracting #0: cost 1 inf + 0 385.569 * * [simplify]: Extracting #1: cost 3 inf + 0 385.569 * * [simplify]: Extracting #2: cost 10 inf + 0 385.569 * * [simplify]: Extracting #3: cost 66 inf + 0 385.569 * * [simplify]: Extracting #4: cost 117 inf + 44 385.570 * * [simplify]: Extracting #5: cost 154 inf + 1064 385.571 * * [simplify]: Extracting #6: cost 218 inf + 2974 385.573 * * [simplify]: Extracting #7: cost 187 inf + 7660 385.579 * * [simplify]: Extracting #8: cost 112 inf + 32033 385.592 * * [simplify]: Extracting #9: cost 53 inf + 55446 385.611 * * [simplify]: Extracting #10: cost 5 inf + 88367 385.631 * * [simplify]: Extracting #11: cost 0 inf + 96092 385.651 * * [simplify]: Extracting #12: cost 0 inf + 95732 385.670 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 385.670 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 385.671 * * * * [progress]: [ 872 / 5906 ] simplifiying candidate # 385.671 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 385.671 * * [simplify]: iters left: 6 (52 enodes) 385.687 * * [simplify]: iters left: 5 (254 enodes) 385.754 * * [simplify]: Extracting #0: cost 1 inf + 0 385.754 * * [simplify]: Extracting #1: cost 3 inf + 0 385.754 * * [simplify]: Extracting #2: cost 10 inf + 0 385.755 * * [simplify]: Extracting #3: cost 74 inf + 0 385.755 * * [simplify]: Extracting #4: cost 137 inf + 1 385.755 * * [simplify]: Extracting #5: cost 190 inf + 207 385.756 * * [simplify]: Extracting #6: cost 244 inf + 3540 385.759 * * [simplify]: Extracting #7: cost 202 inf + 12029 385.765 * * [simplify]: Extracting #8: cost 110 inf + 40342 385.776 * * [simplify]: Extracting #9: cost 53 inf + 66829 385.798 * * [simplify]: Extracting #10: cost 9 inf + 109428 385.822 * * [simplify]: Extracting #11: cost 1 inf + 119628 385.847 * * [simplify]: Extracting #12: cost 0 inf + 121813 385.872 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))) 385.872 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 385.873 * * * * [progress]: [ 873 / 5906 ] simplifiying candidate # 385.873 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 385.874 * * [simplify]: iters left: 6 (47 enodes) 385.887 * * [simplify]: iters left: 5 (226 enodes) 385.940 * * [simplify]: Extracting #0: cost 1 inf + 0 385.940 * * [simplify]: Extracting #1: cost 3 inf + 0 385.940 * * [simplify]: Extracting #2: cost 10 inf + 0 385.940 * * [simplify]: Extracting #3: cost 65 inf + 0 385.941 * * [simplify]: Extracting #4: cost 116 inf + 86 385.941 * * [simplify]: Extracting #5: cost 151 inf + 1350 385.942 * * [simplify]: Extracting #6: cost 218 inf + 2934 385.944 * * [simplify]: Extracting #7: cost 186 inf + 8669 385.949 * * [simplify]: Extracting #8: cost 115 inf + 31223 385.958 * * [simplify]: Extracting #9: cost 60 inf + 52751 385.976 * * [simplify]: Extracting #10: cost 9 inf + 87066 385.996 * * [simplify]: Extracting #11: cost 0 inf + 96492 386.016 * * [simplify]: Extracting #12: cost 0 inf + 96132 386.035 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 386.035 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 386.036 * * * * [progress]: [ 874 / 5906 ] simplifiying candidate # 386.036 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 386.037 * * [simplify]: iters left: 6 (51 enodes) 386.051 * * [simplify]: iters left: 5 (243 enodes) 386.109 * * [simplify]: Extracting #0: cost 1 inf + 0 386.109 * * [simplify]: Extracting #1: cost 3 inf + 0 386.109 * * [simplify]: Extracting #2: cost 6 inf + 0 386.109 * * [simplify]: Extracting #3: cost 56 inf + 0 386.110 * * [simplify]: Extracting #4: cost 130 inf + 0 386.110 * * [simplify]: Extracting #5: cost 207 inf + 0 386.111 * * [simplify]: Extracting #6: cost 270 inf + 1491 386.113 * * [simplify]: Extracting #7: cost 199 inf + 14136 386.118 * * [simplify]: Extracting #8: cost 121 inf + 38732 386.130 * * [simplify]: Extracting #9: cost 59 inf + 63031 386.151 * * [simplify]: Extracting #10: cost 8 inf + 111485 386.175 * * [simplify]: Extracting #11: cost 1 inf + 120740 386.200 * * [simplify]: Extracting #12: cost 0 inf + 122765 386.224 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 386.224 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 386.225 * * * * [progress]: [ 875 / 5906 ] simplifiying candidate # 386.225 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 386.225 * * [simplify]: iters left: 6 (52 enodes) 386.240 * * [simplify]: iters left: 5 (252 enodes) 386.303 * * [simplify]: Extracting #0: cost 1 inf + 0 386.303 * * [simplify]: Extracting #1: cost 3 inf + 0 386.303 * * [simplify]: Extracting #2: cost 6 inf + 0 386.303 * * [simplify]: Extracting #3: cost 60 inf + 0 386.304 * * [simplify]: Extracting #4: cost 153 inf + 0 386.304 * * [simplify]: Extracting #5: cost 221 inf + 44 386.306 * * [simplify]: Extracting #6: cost 244 inf + 5666 386.309 * * [simplify]: Extracting #7: cost 188 inf + 16070 386.315 * * [simplify]: Extracting #8: cost 133 inf + 36443 386.324 * * [simplify]: Extracting #9: cost 85 inf + 57990 386.338 * * [simplify]: Extracting #10: cost 50 inf + 71012 386.358 * * [simplify]: Extracting #11: cost 7 inf + 117367 386.382 * * [simplify]: Extracting #12: cost 1 inf + 124677 386.408 * * [simplify]: Extracting #13: cost 0 inf + 126822 386.433 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 386.434 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 386.434 * * * * [progress]: [ 876 / 5906 ] simplifiying candidate # 386.434 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 386.435 * * [simplify]: iters left: 6 (52 enodes) 386.449 * * [simplify]: iters left: 5 (252 enodes) 386.507 * * [simplify]: Extracting #0: cost 1 inf + 0 386.507 * * [simplify]: Extracting #1: cost 3 inf + 0 386.507 * * [simplify]: Extracting #2: cost 6 inf + 0 386.507 * * [simplify]: Extracting #3: cost 62 inf + 0 386.508 * * [simplify]: Extracting #4: cost 151 inf + 0 386.508 * * [simplify]: Extracting #5: cost 217 inf + 44 386.512 * * [simplify]: Extracting #6: cost 242 inf + 6221 386.516 * * [simplify]: Extracting #7: cost 183 inf + 16870 386.521 * * [simplify]: Extracting #8: cost 134 inf + 34868 386.530 * * [simplify]: Extracting #9: cost 91 inf + 54048 386.541 * * [simplify]: Extracting #10: cost 51 inf + 70139 386.561 * * [simplify]: Extracting #11: cost 7 inf + 114079 386.587 * * [simplify]: Extracting #12: cost 1 inf + 120989 386.614 * * [simplify]: Extracting #13: cost 0 inf + 123094 386.638 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 386.638 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 386.639 * * * * [progress]: [ 877 / 5906 ] simplifiying candidate # 386.639 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 386.639 * * [simplify]: iters left: 6 (46 enodes) 386.652 * * [simplify]: iters left: 5 (216 enodes) 386.702 * * [simplify]: Extracting #0: cost 1 inf + 0 386.702 * * [simplify]: Extracting #1: cost 3 inf + 0 386.702 * * [simplify]: Extracting #2: cost 6 inf + 0 386.702 * * [simplify]: Extracting #3: cost 54 inf + 0 386.703 * * [simplify]: Extracting #4: cost 119 inf + 0 386.703 * * [simplify]: Extracting #5: cost 164 inf + 86 386.704 * * [simplify]: Extracting #6: cost 221 inf + 1235 386.705 * * [simplify]: Extracting #7: cost 208 inf + 3478 386.708 * * [simplify]: Extracting #8: cost 139 inf + 19847 386.717 * * [simplify]: Extracting #9: cost 55 inf + 54065 386.734 * * [simplify]: Extracting #10: cost 9 inf + 91008 386.754 * * [simplify]: Extracting #11: cost 0 inf + 101153 386.775 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 386.775 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 386.775 * * * * [progress]: [ 878 / 5906 ] simplifiying candidate # 386.776 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 386.776 * * [simplify]: iters left: 6 (51 enodes) 386.792 * * [simplify]: iters left: 5 (244 enodes) 386.847 * * [simplify]: Extracting #0: cost 1 inf + 0 386.847 * * [simplify]: Extracting #1: cost 3 inf + 0 386.847 * * [simplify]: Extracting #2: cost 10 inf + 0 386.848 * * [simplify]: Extracting #3: cost 74 inf + 0 386.848 * * [simplify]: Extracting #4: cost 137 inf + 1 386.848 * * [simplify]: Extracting #5: cost 186 inf + 249 386.849 * * [simplify]: Extracting #6: cost 240 inf + 2091 386.851 * * [simplify]: Extracting #7: cost 189 inf + 11088 386.856 * * [simplify]: Extracting #8: cost 134 inf + 31060 386.863 * * [simplify]: Extracting #9: cost 101 inf + 43290 386.875 * * [simplify]: Extracting #10: cost 57 inf + 60059 386.893 * * [simplify]: Extracting #11: cost 17 inf + 96499 386.917 * * [simplify]: Extracting #12: cost 1 inf + 116819 386.942 * * [simplify]: Extracting #13: cost 0 inf + 118884 386.967 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 386.967 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 386.968 * * * * [progress]: [ 879 / 5906 ] simplifiying candidate # 386.968 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 386.968 * * [simplify]: iters left: 6 (46 enodes) 386.982 * * [simplify]: iters left: 5 (216 enodes) 387.029 * * [simplify]: Extracting #0: cost 1 inf + 0 387.029 * * [simplify]: Extracting #1: cost 3 inf + 0 387.029 * * [simplify]: Extracting #2: cost 10 inf + 0 387.029 * * [simplify]: Extracting #3: cost 66 inf + 0 387.029 * * [simplify]: Extracting #4: cost 117 inf + 44 387.030 * * [simplify]: Extracting #5: cost 154 inf + 618 387.031 * * [simplify]: Extracting #6: cost 209 inf + 2814 387.032 * * [simplify]: Extracting #7: cost 189 inf + 5791 387.035 * * [simplify]: Extracting #8: cost 117 inf + 23936 387.043 * * [simplify]: Extracting #9: cost 61 inf + 48475 387.060 * * [simplify]: Extracting #10: cost 12 inf + 84849 387.080 * * [simplify]: Extracting #11: cost 0 inf + 97083 387.100 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 387.100 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 387.101 * * * * [progress]: [ 880 / 5906 ] simplifiying candidate # 387.101 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 387.101 * * [simplify]: iters left: 6 (51 enodes) 387.115 * * [simplify]: iters left: 5 (244 enodes) 387.174 * * [simplify]: Extracting #0: cost 1 inf + 0 387.174 * * [simplify]: Extracting #1: cost 3 inf + 0 387.174 * * [simplify]: Extracting #2: cost 10 inf + 0 387.174 * * [simplify]: Extracting #3: cost 74 inf + 0 387.175 * * [simplify]: Extracting #4: cost 137 inf + 1 387.175 * * [simplify]: Extracting #5: cost 187 inf + 207 387.176 * * [simplify]: Extracting #6: cost 241 inf + 2130 387.178 * * [simplify]: Extracting #7: cost 184 inf + 12981 387.185 * * [simplify]: Extracting #8: cost 135 inf + 30496 387.192 * * [simplify]: Extracting #9: cost 100 inf + 44434 387.202 * * [simplify]: Extracting #10: cost 57 inf + 61019 387.218 * * [simplify]: Extracting #11: cost 17 inf + 97459 387.244 * * [simplify]: Extracting #12: cost 1 inf + 117779 387.270 * * [simplify]: Extracting #13: cost 0 inf + 119844 387.295 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 387.295 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 387.296 * * * * [progress]: [ 881 / 5906 ] simplifiying candidate # 387.296 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 387.296 * * [simplify]: iters left: 6 (46 enodes) 387.309 * * [simplify]: iters left: 5 (216 enodes) 387.358 * * [simplify]: Extracting #0: cost 1 inf + 0 387.358 * * [simplify]: Extracting #1: cost 3 inf + 0 387.358 * * [simplify]: Extracting #2: cost 10 inf + 0 387.358 * * [simplify]: Extracting #3: cost 65 inf + 0 387.358 * * [simplify]: Extracting #4: cost 117 inf + 44 387.359 * * [simplify]: Extracting #5: cost 151 inf + 904 387.360 * * [simplify]: Extracting #6: cost 208 inf + 2976 387.361 * * [simplify]: Extracting #7: cost 191 inf + 5589 387.365 * * [simplify]: Extracting #8: cost 110 inf + 29282 387.375 * * [simplify]: Extracting #9: cost 50 inf + 56036 387.389 * * [simplify]: Extracting #10: cost 12 inf + 85289 387.408 * * [simplify]: Extracting #11: cost 0 inf + 97483 387.430 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 387.430 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 387.431 * * * * [progress]: [ 882 / 5906 ] simplifiying candidate # 387.431 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 387.432 * * [simplify]: iters left: 6 (48 enodes) 387.446 * * [simplify]: iters left: 5 (229 enodes) 387.501 * * [simplify]: Extracting #0: cost 1 inf + 0 387.501 * * [simplify]: Extracting #1: cost 3 inf + 0 387.501 * * [simplify]: Extracting #2: cost 6 inf + 0 387.501 * * [simplify]: Extracting #3: cost 54 inf + 0 387.502 * * [simplify]: Extracting #4: cost 120 inf + 0 387.502 * * [simplify]: Extracting #5: cost 188 inf + 0 387.505 * * [simplify]: Extracting #6: cost 252 inf + 1311 387.507 * * [simplify]: Extracting #7: cost 213 inf + 7874 387.511 * * [simplify]: Extracting #8: cost 106 inf + 34694 387.522 * * [simplify]: Extracting #9: cost 39 inf + 64182 387.539 * * [simplify]: Extracting #10: cost 5 inf + 100545 387.560 * * [simplify]: Extracting #11: cost 0 inf + 107670 387.581 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 387.581 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 387.582 * * * * [progress]: [ 883 / 5906 ] simplifiying candidate # 387.582 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 387.583 * * [simplify]: iters left: 6 (49 enodes) 387.597 * * [simplify]: iters left: 5 (238 enodes) 387.654 * * [simplify]: Extracting #0: cost 1 inf + 0 387.654 * * [simplify]: Extracting #1: cost 3 inf + 0 387.654 * * [simplify]: Extracting #2: cost 6 inf + 0 387.654 * * [simplify]: Extracting #3: cost 58 inf + 0 387.655 * * [simplify]: Extracting #4: cost 143 inf + 0 387.655 * * [simplify]: Extracting #5: cost 201 inf + 85 387.656 * * [simplify]: Extracting #6: cost 234 inf + 4282 387.659 * * [simplify]: Extracting #7: cost 188 inf + 13848 387.664 * * [simplify]: Extracting #8: cost 127 inf + 30612 387.671 * * [simplify]: Extracting #9: cost 87 inf + 47307 387.683 * * [simplify]: Extracting #10: cost 48 inf + 62327 387.701 * * [simplify]: Extracting #11: cost 8 inf + 101047 387.721 * * [simplify]: Extracting #12: cost 0 inf + 110287 387.743 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) 387.743 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 387.743 * * * * [progress]: [ 884 / 5906 ] simplifiying candidate # 387.744 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 387.744 * * [simplify]: iters left: 6 (49 enodes) 387.758 * * [simplify]: iters left: 5 (238 enodes) 387.816 * * [simplify]: Extracting #0: cost 1 inf + 0 387.816 * * [simplify]: Extracting #1: cost 3 inf + 0 387.816 * * [simplify]: Extracting #2: cost 6 inf + 0 387.816 * * [simplify]: Extracting #3: cost 60 inf + 0 387.816 * * [simplify]: Extracting #4: cost 141 inf + 0 387.816 * * [simplify]: Extracting #5: cost 196 inf + 166 387.818 * * [simplify]: Extracting #6: cost 223 inf + 6013 387.821 * * [simplify]: Extracting #7: cost 179 inf + 15772 387.826 * * [simplify]: Extracting #8: cost 125 inf + 30492 387.833 * * [simplify]: Extracting #9: cost 88 inf + 44857 387.842 * * [simplify]: Extracting #10: cost 51 inf + 58604 387.856 * * [simplify]: Extracting #11: cost 33 inf + 71134 387.875 * * [simplify]: Extracting #12: cost 2 inf + 104749 387.895 * * [simplify]: Extracting #13: cost 0 inf + 107799 387.917 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 387.917 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 387.918 * * * * [progress]: [ 885 / 5906 ] simplifiying candidate # 387.918 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 387.918 * * [simplify]: iters left: 6 (43 enodes) 387.930 * * [simplify]: iters left: 5 (202 enodes) 387.975 * * [simplify]: Extracting #0: cost 1 inf + 0 387.975 * * [simplify]: Extracting #1: cost 3 inf + 0 387.975 * * [simplify]: Extracting #2: cost 6 inf + 0 387.976 * * [simplify]: Extracting #3: cost 52 inf + 0 387.976 * * [simplify]: Extracting #4: cost 109 inf + 0 387.976 * * [simplify]: Extracting #5: cost 145 inf + 126 387.977 * * [simplify]: Extracting #6: cost 198 inf + 1439 387.978 * * [simplify]: Extracting #7: cost 177 inf + 5832 387.983 * * [simplify]: Extracting #8: cost 90 inf + 35143 387.992 * * [simplify]: Extracting #9: cost 37 inf + 53706 388.006 * * [simplify]: Extracting #10: cost 7 inf + 76483 388.025 * * [simplify]: Extracting #11: cost 0 inf + 85418 388.042 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))) 388.042 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 388.042 * * * * [progress]: [ 886 / 5906 ] simplifiying candidate # 388.043 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 388.043 * * [simplify]: iters left: 6 (48 enodes) 388.057 * * [simplify]: iters left: 5 (230 enodes) 388.113 * * [simplify]: Extracting #0: cost 1 inf + 0 388.113 * * [simplify]: Extracting #1: cost 3 inf + 0 388.113 * * [simplify]: Extracting #2: cost 10 inf + 0 388.113 * * [simplify]: Extracting #3: cost 72 inf + 0 388.113 * * [simplify]: Extracting #4: cost 127 inf + 1 388.114 * * [simplify]: Extracting #5: cost 170 inf + 85 388.115 * * [simplify]: Extracting #6: cost 221 inf + 2045 388.116 * * [simplify]: Extracting #7: cost 190 inf + 9375 388.120 * * [simplify]: Extracting #8: cost 108 inf + 31331 388.133 * * [simplify]: Extracting #9: cost 22 inf + 80414 388.152 * * [simplify]: Extracting #10: cost 0 inf + 101269 388.172 * * [simplify]: Extracting #11: cost 0 inf + 101069 388.192 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 388.192 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 388.193 * * * * [progress]: [ 887 / 5906 ] simplifiying candidate # 388.193 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 388.193 * * [simplify]: iters left: 6 (43 enodes) 388.206 * * [simplify]: iters left: 5 (202 enodes) 388.252 * * [simplify]: Extracting #0: cost 1 inf + 0 388.252 * * [simplify]: Extracting #1: cost 3 inf + 0 388.252 * * [simplify]: Extracting #2: cost 10 inf + 0 388.252 * * [simplify]: Extracting #3: cost 64 inf + 0 388.252 * * [simplify]: Extracting #4: cost 107 inf + 44 388.252 * * [simplify]: Extracting #5: cost 133 inf + 983 388.253 * * [simplify]: Extracting #6: cost 187 inf + 2772 388.255 * * [simplify]: Extracting #7: cost 177 inf + 5909 388.257 * * [simplify]: Extracting #8: cost 109 inf + 19426 388.264 * * [simplify]: Extracting #9: cost 60 inf + 38914 388.273 * * [simplify]: Extracting #10: cost 27 inf + 54939 388.289 * * [simplify]: Extracting #11: cost 3 inf + 77193 388.305 * * [simplify]: Extracting #12: cost 1 inf + 80403 388.321 * * [simplify]: Extracting #13: cost 0 inf + 82028 388.338 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 388.338 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 388.338 * * * * [progress]: [ 888 / 5906 ] simplifiying candidate # 388.339 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 388.340 * * [simplify]: iters left: 6 (48 enodes) 388.354 * * [simplify]: iters left: 5 (230 enodes) 388.408 * * [simplify]: Extracting #0: cost 1 inf + 0 388.408 * * [simplify]: Extracting #1: cost 3 inf + 0 388.408 * * [simplify]: Extracting #2: cost 10 inf + 0 388.408 * * [simplify]: Extracting #3: cost 72 inf + 0 388.408 * * [simplify]: Extracting #4: cost 126 inf + 42 388.409 * * [simplify]: Extracting #5: cost 166 inf + 290 388.410 * * [simplify]: Extracting #6: cost 216 inf + 3333 388.411 * * [simplify]: Extracting #7: cost 189 inf + 9496 388.416 * * [simplify]: Extracting #8: cost 106 inf + 31836 388.429 * * [simplify]: Extracting #9: cost 22 inf + 81534 388.448 * * [simplify]: Extracting #10: cost 0 inf + 102229 388.470 * * [simplify]: Extracting #11: cost 0 inf + 102029 388.490 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 388.490 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 388.491 * * * * [progress]: [ 889 / 5906 ] simplifiying candidate # 388.491 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 388.491 * * [simplify]: iters left: 6 (43 enodes) 388.503 * * [simplify]: iters left: 5 (202 enodes) 388.548 * * [simplify]: Extracting #0: cost 1 inf + 0 388.548 * * [simplify]: Extracting #1: cost 3 inf + 0 388.548 * * [simplify]: Extracting #2: cost 10 inf + 0 388.548 * * [simplify]: Extracting #3: cost 63 inf + 0 388.549 * * [simplify]: Extracting #4: cost 107 inf + 44 388.549 * * [simplify]: Extracting #5: cost 136 inf + 537 388.550 * * [simplify]: Extracting #6: cost 188 inf + 2610 388.555 * * [simplify]: Extracting #7: cost 174 inf + 6194 388.559 * * [simplify]: Extracting #8: cost 108 inf + 20205 388.565 * * [simplify]: Extracting #9: cost 58 inf + 40142 388.575 * * [simplify]: Extracting #10: cost 27 inf + 55259 388.589 * * [simplify]: Extracting #11: cost 3 inf + 77513 388.605 * * [simplify]: Extracting #12: cost 0 inf + 82348 388.621 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) 388.621 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 388.622 * * * * [progress]: [ 890 / 5906 ] simplifiying candidate # 388.622 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 388.622 * * [simplify]: iters left: 6 (51 enodes) 388.638 * * [simplify]: iters left: 5 (243 enodes) 388.695 * * [simplify]: Extracting #0: cost 1 inf + 0 388.695 * * [simplify]: Extracting #1: cost 3 inf + 0 388.695 * * [simplify]: Extracting #2: cost 6 inf + 0 388.695 * * [simplify]: Extracting #3: cost 56 inf + 0 388.695 * * [simplify]: Extracting #4: cost 130 inf + 0 388.696 * * [simplify]: Extracting #5: cost 207 inf + 0 388.697 * * [simplify]: Extracting #6: cost 271 inf + 1539 388.699 * * [simplify]: Extracting #7: cost 203 inf + 13557 388.704 * * [simplify]: Extracting #8: cost 119 inf + 40242 388.714 * * [simplify]: Extracting #9: cost 60 inf + 62025 388.735 * * [simplify]: Extracting #10: cost 8 inf + 111725 388.759 * * [simplify]: Extracting #11: cost 1 inf + 120980 388.783 * * [simplify]: Extracting #12: cost 0 inf + 123005 388.808 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 388.808 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 388.808 * * * * [progress]: [ 891 / 5906 ] simplifiying candidate # 388.809 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 388.809 * * [simplify]: iters left: 6 (52 enodes) 388.823 * * [simplify]: iters left: 5 (252 enodes) 388.885 * * [simplify]: Extracting #0: cost 1 inf + 0 388.885 * * [simplify]: Extracting #1: cost 3 inf + 0 388.885 * * [simplify]: Extracting #2: cost 6 inf + 0 388.885 * * [simplify]: Extracting #3: cost 60 inf + 0 388.885 * * [simplify]: Extracting #4: cost 153 inf + 0 388.886 * * [simplify]: Extracting #5: cost 221 inf + 44 388.887 * * [simplify]: Extracting #6: cost 248 inf + 5098 388.890 * * [simplify]: Extracting #7: cost 185 inf + 16956 388.898 * * [simplify]: Extracting #8: cost 103 inf + 48250 388.912 * * [simplify]: Extracting #9: cost 50 inf + 71492 388.934 * * [simplify]: Extracting #10: cost 6 inf + 118712 388.959 * * [simplify]: Extracting #11: cost 1 inf + 124997 388.984 * * [simplify]: Extracting #12: cost 0 inf + 127142 389.010 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 389.010 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 389.010 * * * * [progress]: [ 892 / 5906 ] simplifiying candidate # 389.011 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 389.011 * * [simplify]: iters left: 6 (52 enodes) 389.025 * * [simplify]: iters left: 5 (252 enodes) 389.082 * * [simplify]: Extracting #0: cost 1 inf + 0 389.082 * * [simplify]: Extracting #1: cost 3 inf + 0 389.082 * * [simplify]: Extracting #2: cost 6 inf + 0 389.083 * * [simplify]: Extracting #3: cost 62 inf + 0 389.083 * * [simplify]: Extracting #4: cost 151 inf + 0 389.086 * * [simplify]: Extracting #5: cost 217 inf + 44 389.087 * * [simplify]: Extracting #6: cost 240 inf + 6704 389.090 * * [simplify]: Extracting #7: cost 184 inf + 16508 389.097 * * [simplify]: Extracting #8: cost 105 inf + 45433 389.108 * * [simplify]: Extracting #9: cost 49 inf + 71349 389.128 * * [simplify]: Extracting #10: cost 6 inf + 115544 389.152 * * [simplify]: Extracting #11: cost 1 inf + 121309 389.176 * * [simplify]: Extracting #12: cost 0 inf + 123414 389.203 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 389.203 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 389.203 * * * * [progress]: [ 893 / 5906 ] simplifiying candidate # 389.204 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 389.205 * * [simplify]: iters left: 6 (46 enodes) 389.218 * * [simplify]: iters left: 5 (216 enodes) 389.268 * * [simplify]: Extracting #0: cost 1 inf + 0 389.268 * * [simplify]: Extracting #1: cost 3 inf + 0 389.268 * * [simplify]: Extracting #2: cost 6 inf + 0 389.268 * * [simplify]: Extracting #3: cost 54 inf + 0 389.269 * * [simplify]: Extracting #4: cost 119 inf + 0 389.269 * * [simplify]: Extracting #5: cost 164 inf + 86 389.270 * * [simplify]: Extracting #6: cost 221 inf + 1235 389.271 * * [simplify]: Extracting #7: cost 208 inf + 3478 389.274 * * [simplify]: Extracting #8: cost 134 inf + 22052 389.283 * * [simplify]: Extracting #9: cost 55 inf + 54385 389.300 * * [simplify]: Extracting #10: cost 11 inf + 90904 389.320 * * [simplify]: Extracting #11: cost 0 inf + 101473 389.341 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 389.341 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 389.341 * * * * [progress]: [ 894 / 5906 ] simplifiying candidate # 389.342 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 389.342 * * [simplify]: iters left: 6 (51 enodes) 389.356 * * [simplify]: iters left: 5 (244 enodes) 389.414 * * [simplify]: Extracting #0: cost 1 inf + 0 389.414 * * [simplify]: Extracting #1: cost 3 inf + 0 389.414 * * [simplify]: Extracting #2: cost 10 inf + 0 389.414 * * [simplify]: Extracting #3: cost 74 inf + 0 389.415 * * [simplify]: Extracting #4: cost 137 inf + 1 389.415 * * [simplify]: Extracting #5: cost 186 inf + 249 389.416 * * [simplify]: Extracting #6: cost 239 inf + 2172 389.418 * * [simplify]: Extracting #7: cost 189 inf + 11288 389.423 * * [simplify]: Extracting #8: cost 136 inf + 30004 389.430 * * [simplify]: Extracting #9: cost 92 inf + 46954 389.444 * * [simplify]: Extracting #10: cost 48 inf + 66444 389.461 * * [simplify]: Extracting #11: cost 10 inf + 103114 389.490 * * [simplify]: Extracting #12: cost 0 inf + 116964 389.519 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 389.519 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 389.520 * * * * [progress]: [ 895 / 5906 ] simplifiying candidate # 389.520 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 389.521 * * [simplify]: iters left: 6 (46 enodes) 389.533 * * [simplify]: iters left: 5 (216 enodes) 389.581 * * [simplify]: Extracting #0: cost 1 inf + 0 389.581 * * [simplify]: Extracting #1: cost 3 inf + 0 389.581 * * [simplify]: Extracting #2: cost 10 inf + 0 389.581 * * [simplify]: Extracting #3: cost 66 inf + 0 389.581 * * [simplify]: Extracting #4: cost 117 inf + 44 389.582 * * [simplify]: Extracting #5: cost 154 inf + 618 389.583 * * [simplify]: Extracting #6: cost 209 inf + 2814 389.584 * * [simplify]: Extracting #7: cost 188 inf + 5873 389.588 * * [simplify]: Extracting #8: cost 115 inf + 24888 389.596 * * [simplify]: Extracting #9: cost 61 inf + 48795 389.610 * * [simplify]: Extracting #10: cost 12 inf + 85169 389.632 * * [simplify]: Extracting #11: cost 0 inf + 97403 389.652 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 389.652 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 389.652 * * * * [progress]: [ 896 / 5906 ] simplifiying candidate # 389.653 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 389.653 * * [simplify]: iters left: 6 (51 enodes) 389.667 * * [simplify]: iters left: 5 (244 enodes) 389.724 * * [simplify]: Extracting #0: cost 1 inf + 0 389.724 * * [simplify]: Extracting #1: cost 3 inf + 0 389.724 * * [simplify]: Extracting #2: cost 10 inf + 0 389.725 * * [simplify]: Extracting #3: cost 74 inf + 0 389.725 * * [simplify]: Extracting #4: cost 137 inf + 1 389.725 * * [simplify]: Extracting #5: cost 187 inf + 207 389.726 * * [simplify]: Extracting #6: cost 240 inf + 2332 389.728 * * [simplify]: Extracting #7: cost 183 inf + 12619 389.733 * * [simplify]: Extracting #8: cost 137 inf + 29912 389.741 * * [simplify]: Extracting #9: cost 92 inf + 47834 389.751 * * [simplify]: Extracting #10: cost 48 inf + 67404 389.769 * * [simplify]: Extracting #11: cost 10 inf + 104074 389.793 * * [simplify]: Extracting #12: cost 0 inf + 117924 389.820 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 389.820 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 389.821 * * * * [progress]: [ 897 / 5906 ] simplifiying candidate # 389.821 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 389.821 * * [simplify]: iters left: 6 (46 enodes) 389.834 * * [simplify]: iters left: 5 (216 enodes) 389.881 * * [simplify]: Extracting #0: cost 1 inf + 0 389.881 * * [simplify]: Extracting #1: cost 3 inf + 0 389.881 * * [simplify]: Extracting #2: cost 10 inf + 0 389.881 * * [simplify]: Extracting #3: cost 65 inf + 0 389.881 * * [simplify]: Extracting #4: cost 117 inf + 44 389.882 * * [simplify]: Extracting #5: cost 151 inf + 904 389.883 * * [simplify]: Extracting #6: cost 208 inf + 2976 389.884 * * [simplify]: Extracting #7: cost 190 inf + 5671 389.892 * * [simplify]: Extracting #8: cost 108 inf + 30132 389.901 * * [simplify]: Extracting #9: cost 50 inf + 56356 389.916 * * [simplify]: Extracting #10: cost 12 inf + 85609 389.935 * * [simplify]: Extracting #11: cost 0 inf + 97803 389.955 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 389.955 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 389.955 * * * * [progress]: [ 898 / 5906 ] simplifiying candidate # 389.956 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 389.956 * * [simplify]: iters left: 6 (50 enodes) 389.970 * * [simplify]: iters left: 5 (238 enodes) 390.026 * * [simplify]: Extracting #0: cost 1 inf + 0 390.026 * * [simplify]: Extracting #1: cost 3 inf + 0 390.026 * * [simplify]: Extracting #2: cost 6 inf + 0 390.026 * * [simplify]: Extracting #3: cost 57 inf + 0 390.026 * * [simplify]: Extracting #4: cost 128 inf + 0 390.026 * * [simplify]: Extracting #5: cost 195 inf + 0 390.027 * * [simplify]: Extracting #6: cost 260 inf + 3439 390.029 * * [simplify]: Extracting #7: cost 209 inf + 13567 390.033 * * [simplify]: Extracting #8: cost 130 inf + 29592 390.043 * * [simplify]: Extracting #9: cost 57 inf + 60768 390.062 * * [simplify]: Extracting #10: cost 3 inf + 109777 390.086 * * [simplify]: Extracting #11: cost 0 inf + 112772 390.109 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 390.109 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 390.110 * * * * [progress]: [ 899 / 5906 ] simplifiying candidate # 390.110 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 390.110 * * [simplify]: iters left: 6 (51 enodes) 390.126 * * [simplify]: iters left: 5 (247 enodes) 390.185 * * [simplify]: Extracting #0: cost 1 inf + 0 390.185 * * [simplify]: Extracting #1: cost 3 inf + 0 390.185 * * [simplify]: Extracting #2: cost 6 inf + 0 390.185 * * [simplify]: Extracting #3: cost 61 inf + 0 390.185 * * [simplify]: Extracting #4: cost 151 inf + 0 390.186 * * [simplify]: Extracting #5: cost 208 inf + 86 390.187 * * [simplify]: Extracting #6: cost 244 inf + 4807 390.190 * * [simplify]: Extracting #7: cost 198 inf + 15383 390.194 * * [simplify]: Extracting #8: cost 143 inf + 27570 390.202 * * [simplify]: Extracting #9: cost 98 inf + 47291 390.212 * * [simplify]: Extracting #10: cost 59 inf + 61394 390.225 * * [simplify]: Extracting #11: cost 30 inf + 83399 390.249 * * [simplify]: Extracting #12: cost 2 inf + 115339 390.272 * * [simplify]: Extracting #13: cost 0 inf + 118269 390.294 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 390.295 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 390.295 * * * * [progress]: [ 900 / 5906 ] simplifiying candidate # 390.295 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 390.296 * * [simplify]: iters left: 6 (51 enodes) 390.309 * * [simplify]: iters left: 5 (247 enodes) 390.367 * * [simplify]: Extracting #0: cost 1 inf + 0 390.367 * * [simplify]: Extracting #1: cost 3 inf + 0 390.367 * * [simplify]: Extracting #2: cost 6 inf + 0 390.367 * * [simplify]: Extracting #3: cost 63 inf + 0 390.368 * * [simplify]: Extracting #4: cost 149 inf + 0 390.369 * * [simplify]: Extracting #5: cost 205 inf + 44 390.370 * * [simplify]: Extracting #6: cost 241 inf + 4445 390.372 * * [simplify]: Extracting #7: cost 201 inf + 13464 390.378 * * [simplify]: Extracting #8: cost 115 inf + 37470 390.391 * * [simplify]: Extracting #9: cost 34 inf + 77891 390.413 * * [simplify]: Extracting #10: cost 5 inf + 106776 390.435 * * [simplify]: Extracting #11: cost 0 inf + 113501 390.459 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 390.459 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 390.459 * * * * [progress]: [ 901 / 5906 ] simplifiying candidate # 390.459 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 390.460 * * [simplify]: iters left: 6 (45 enodes) 390.472 * * [simplify]: iters left: 5 (211 enodes) 390.519 * * [simplify]: Extracting #0: cost 1 inf + 0 390.520 * * [simplify]: Extracting #1: cost 3 inf + 0 390.520 * * [simplify]: Extracting #2: cost 6 inf + 0 390.520 * * [simplify]: Extracting #3: cost 55 inf + 0 390.520 * * [simplify]: Extracting #4: cost 117 inf + 0 390.520 * * [simplify]: Extracting #5: cost 153 inf + 44 390.521 * * [simplify]: Extracting #6: cost 215 inf + 830 390.522 * * [simplify]: Extracting #7: cost 198 inf + 4209 390.526 * * [simplify]: Extracting #8: cost 119 inf + 23578 390.540 * * [simplify]: Extracting #9: cost 20 inf + 81406 390.560 * * [simplify]: Extracting #10: cost 0 inf + 91120 390.579 * * [simplify]: Extracting #11: cost 0 inf + 90600 390.601 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 390.601 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 390.601 * * * * [progress]: [ 902 / 5906 ] simplifiying candidate # 390.602 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 390.602 * * [simplify]: iters left: 6 (50 enodes) 390.616 * * [simplify]: iters left: 5 (239 enodes) 390.669 * * [simplify]: Extracting #0: cost 1 inf + 0 390.669 * * [simplify]: Extracting #1: cost 3 inf + 0 390.669 * * [simplify]: Extracting #2: cost 10 inf + 0 390.669 * * [simplify]: Extracting #3: cost 75 inf + 0 390.669 * * [simplify]: Extracting #4: cost 142 inf + 1 390.670 * * [simplify]: Extracting #5: cost 182 inf + 207 390.671 * * [simplify]: Extracting #6: cost 238 inf + 2373 390.673 * * [simplify]: Extracting #7: cost 205 inf + 10631 390.679 * * [simplify]: Extracting #8: cost 132 inf + 26897 390.687 * * [simplify]: Extracting #9: cost 78 inf + 48834 390.698 * * [simplify]: Extracting #10: cost 32 inf + 76306 390.718 * * [simplify]: Extracting #11: cost 4 inf + 106806 390.740 * * [simplify]: Extracting #12: cost 1 inf + 111521 390.763 * * [simplify]: Extracting #13: cost 0 inf + 113386 390.788 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 390.788 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 390.789 * * * * [progress]: [ 903 / 5906 ] simplifiying candidate # 390.789 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 390.789 * * [simplify]: iters left: 6 (45 enodes) 390.802 * * [simplify]: iters left: 5 (211 enodes) 390.846 * * [simplify]: Extracting #0: cost 1 inf + 0 390.846 * * [simplify]: Extracting #1: cost 3 inf + 0 390.846 * * [simplify]: Extracting #2: cost 10 inf + 0 390.847 * * [simplify]: Extracting #3: cost 67 inf + 0 390.847 * * [simplify]: Extracting #4: cost 122 inf + 44 390.847 * * [simplify]: Extracting #5: cost 149 inf + 619 390.848 * * [simplify]: Extracting #6: cost 205 inf + 2976 390.850 * * [simplify]: Extracting #7: cost 189 inf + 6360 390.854 * * [simplify]: Extracting #8: cost 111 inf + 30119 390.867 * * [simplify]: Extracting #9: cost 28 inf + 70751 390.884 * * [simplify]: Extracting #10: cost 4 inf + 87271 390.902 * * [simplify]: Extracting #11: cost 0 inf + 90705 390.921 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 390.921 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 390.922 * * * * [progress]: [ 904 / 5906 ] simplifiying candidate # 390.922 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 390.922 * * [simplify]: iters left: 6 (50 enodes) 390.936 * * [simplify]: iters left: 5 (239 enodes) 390.992 * * [simplify]: Extracting #0: cost 1 inf + 0 390.992 * * [simplify]: Extracting #1: cost 3 inf + 0 390.992 * * [simplify]: Extracting #2: cost 10 inf + 0 390.992 * * [simplify]: Extracting #3: cost 75 inf + 0 390.992 * * [simplify]: Extracting #4: cost 142 inf + 1 390.993 * * [simplify]: Extracting #5: cost 183 inf + 165 390.994 * * [simplify]: Extracting #6: cost 236 inf + 2898 390.996 * * [simplify]: Extracting #7: cost 200 inf + 12436 391.000 * * [simplify]: Extracting #8: cost 129 inf + 28573 391.009 * * [simplify]: Extracting #9: cost 46 inf + 68435 391.028 * * [simplify]: Extracting #10: cost 4 inf + 105366 391.051 * * [simplify]: Extracting #11: cost 1 inf + 109841 391.072 * * [simplify]: Extracting #12: cost 0 inf + 111626 391.094 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 391.094 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 391.094 * * * * [progress]: [ 905 / 5906 ] simplifiying candidate # 391.094 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 391.095 * * [simplify]: iters left: 6 (45 enodes) 391.108 * * [simplify]: iters left: 5 (211 enodes) 391.156 * * [simplify]: Extracting #0: cost 1 inf + 0 391.156 * * [simplify]: Extracting #1: cost 3 inf + 0 391.156 * * [simplify]: Extracting #2: cost 10 inf + 0 391.156 * * [simplify]: Extracting #3: cost 66 inf + 0 391.156 * * [simplify]: Extracting #4: cost 122 inf + 44 391.157 * * [simplify]: Extracting #5: cost 142 inf + 1472 391.158 * * [simplify]: Extracting #6: cost 206 inf + 2934 391.159 * * [simplify]: Extracting #7: cost 190 inf + 6357 391.163 * * [simplify]: Extracting #8: cost 110 inf + 30561 391.175 * * [simplify]: Extracting #9: cost 30 inf + 69983 391.192 * * [simplify]: Extracting #10: cost 4 inf + 87671 391.210 * * [simplify]: Extracting #11: cost 0 inf + 91105 391.231 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 391.231 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 391.231 * * * * [progress]: [ 906 / 5906 ] simplifiying candidate # 391.232 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 391.232 * * [simplify]: iters left: 6 (52 enodes) 391.246 * * [simplify]: iters left: 5 (255 enodes) 391.309 * * [simplify]: Extracting #0: cost 1 inf + 0 391.309 * * [simplify]: Extracting #1: cost 3 inf + 0 391.309 * * [simplify]: Extracting #2: cost 6 inf + 0 391.309 * * [simplify]: Extracting #3: cost 56 inf + 0 391.309 * * [simplify]: Extracting #4: cost 130 inf + 0 391.310 * * [simplify]: Extracting #5: cost 214 inf + 0 391.310 * * [simplify]: Extracting #6: cost 310 inf + 974 391.312 * * [simplify]: Extracting #7: cost 270 inf + 8549 391.316 * * [simplify]: Extracting #8: cost 169 inf + 30016 391.324 * * [simplify]: Extracting #9: cost 108 inf + 46819 391.337 * * [simplify]: Extracting #10: cost 55 inf + 72552 391.357 * * [simplify]: Extracting #11: cost 14 inf + 112335 391.383 * * [simplify]: Extracting #12: cost 1 inf + 127260 391.412 * * [simplify]: Extracting #13: cost 0 inf + 129285 391.440 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 391.440 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 391.441 * * * * [progress]: [ 907 / 5906 ] simplifiying candidate # 391.441 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 391.441 * * [simplify]: iters left: 6 (53 enodes) 391.456 * * [simplify]: iters left: 5 (264 enodes) 391.519 * * [simplify]: Extracting #0: cost 1 inf + 0 391.519 * * [simplify]: Extracting #1: cost 3 inf + 0 391.519 * * [simplify]: Extracting #2: cost 6 inf + 0 391.520 * * [simplify]: Extracting #3: cost 60 inf + 0 391.520 * * [simplify]: Extracting #4: cost 153 inf + 0 391.520 * * [simplify]: Extracting #5: cost 227 inf + 85 391.522 * * [simplify]: Extracting #6: cost 289 inf + 4599 391.525 * * [simplify]: Extracting #7: cost 250 inf + 12614 391.530 * * [simplify]: Extracting #8: cost 166 inf + 32169 391.541 * * [simplify]: Extracting #9: cost 73 inf + 65851 391.565 * * [simplify]: Extracting #10: cost 18 inf + 113512 391.590 * * [simplify]: Extracting #11: cost 2 inf + 128012 391.616 * * [simplify]: Extracting #12: cost 0 inf + 132302 391.643 * [simplify]: Simplified to (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 391.643 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 391.644 * * * * [progress]: [ 908 / 5906 ] simplifiying candidate # 391.644 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 391.644 * * [simplify]: iters left: 6 (53 enodes) 391.659 * * [simplify]: iters left: 5 (264 enodes) 391.722 * * [simplify]: Extracting #0: cost 1 inf + 0 391.722 * * [simplify]: Extracting #1: cost 3 inf + 0 391.723 * * [simplify]: Extracting #2: cost 6 inf + 0 391.723 * * [simplify]: Extracting #3: cost 62 inf + 0 391.723 * * [simplify]: Extracting #4: cost 151 inf + 0 391.724 * * [simplify]: Extracting #5: cost 224 inf + 44 391.725 * * [simplify]: Extracting #6: cost 292 inf + 3507 391.727 * * [simplify]: Extracting #7: cost 251 inf + 11261 391.733 * * [simplify]: Extracting #8: cost 158 inf + 33770 391.748 * * [simplify]: Extracting #9: cost 67 inf + 67601 391.770 * * [simplify]: Extracting #10: cost 9 inf + 116909 391.795 * * [simplify]: Extracting #11: cost 0 inf + 128454 391.821 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 391.821 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 391.822 * * * * [progress]: [ 909 / 5906 ] simplifiying candidate # 391.822 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 391.822 * * [simplify]: iters left: 6 (47 enodes) 391.835 * * [simplify]: iters left: 5 (228 enodes) 391.887 * * [simplify]: Extracting #0: cost 1 inf + 0 391.887 * * [simplify]: Extracting #1: cost 3 inf + 0 391.887 * * [simplify]: Extracting #2: cost 6 inf + 0 391.887 * * [simplify]: Extracting #3: cost 54 inf + 0 391.888 * * [simplify]: Extracting #4: cost 119 inf + 0 391.888 * * [simplify]: Extracting #5: cost 172 inf + 44 391.889 * * [simplify]: Extracting #6: cost 254 inf + 1192 391.890 * * [simplify]: Extracting #7: cost 233 inf + 4486 391.893 * * [simplify]: Extracting #8: cost 165 inf + 18942 391.900 * * [simplify]: Extracting #9: cost 96 inf + 40373 391.916 * * [simplify]: Extracting #10: cost 39 inf + 76949 391.935 * * [simplify]: Extracting #11: cost 13 inf + 95140 391.956 * * [simplify]: Extracting #12: cost 1 inf + 105128 391.978 * * [simplify]: Extracting #13: cost 0 inf + 106953 392.000 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 392.000 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 392.001 * * * * [progress]: [ 910 / 5906 ] simplifiying candidate # 392.001 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 392.001 * * [simplify]: iters left: 6 (52 enodes) 392.017 * * [simplify]: iters left: 5 (256 enodes) 392.079 * * [simplify]: Extracting #0: cost 1 inf + 0 392.079 * * [simplify]: Extracting #1: cost 3 inf + 0 392.079 * * [simplify]: Extracting #2: cost 10 inf + 0 392.079 * * [simplify]: Extracting #3: cost 74 inf + 0 392.079 * * [simplify]: Extracting #4: cost 136 inf + 42 392.080 * * [simplify]: Extracting #5: cost 193 inf + 248 392.081 * * [simplify]: Extracting #6: cost 275 inf + 2404 392.083 * * [simplify]: Extracting #7: cost 249 inf + 9064 392.086 * * [simplify]: Extracting #8: cost 179 inf + 21964 392.092 * * [simplify]: Extracting #9: cost 120 inf + 37793 392.106 * * [simplify]: Extracting #10: cost 60 inf + 66693 392.127 * * [simplify]: Extracting #11: cost 6 inf + 115574 392.153 * * [simplify]: Extracting #12: cost 0 inf + 121764 392.179 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 392.179 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 392.179 * * * * [progress]: [ 911 / 5906 ] simplifiying candidate # 392.180 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 392.180 * * [simplify]: iters left: 6 (47 enodes) 392.192 * * [simplify]: iters left: 5 (228 enodes) 392.244 * * [simplify]: Extracting #0: cost 1 inf + 0 392.244 * * [simplify]: Extracting #1: cost 3 inf + 0 392.244 * * [simplify]: Extracting #2: cost 10 inf + 0 392.244 * * [simplify]: Extracting #3: cost 66 inf + 0 392.244 * * [simplify]: Extracting #4: cost 117 inf + 44 392.245 * * [simplify]: Extracting #5: cost 156 inf + 1348 392.246 * * [simplify]: Extracting #6: cost 241 inf + 2972 392.247 * * [simplify]: Extracting #7: cost 241 inf + 3548 392.250 * * [simplify]: Extracting #8: cost 165 inf + 17659 392.257 * * [simplify]: Extracting #9: cost 101 inf + 43327 392.269 * * [simplify]: Extracting #10: cost 40 inf + 69323 392.288 * * [simplify]: Extracting #11: cost 7 inf + 94268 392.309 * * [simplify]: Extracting #12: cost 1 inf + 101978 392.329 * * [simplify]: Extracting #13: cost 0 inf + 103683 392.350 * * [simplify]: Extracting #14: cost 0 inf + 103603 392.371 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 392.371 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 392.372 * * * * [progress]: [ 912 / 5906 ] simplifiying candidate # 392.372 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 392.372 * * [simplify]: iters left: 6 (52 enodes) 392.389 * * [simplify]: iters left: 5 (256 enodes) 392.449 * * [simplify]: Extracting #0: cost 1 inf + 0 392.449 * * [simplify]: Extracting #1: cost 3 inf + 0 392.449 * * [simplify]: Extracting #2: cost 10 inf + 0 392.449 * * [simplify]: Extracting #3: cost 74 inf + 0 392.450 * * [simplify]: Extracting #4: cost 136 inf + 42 392.450 * * [simplify]: Extracting #5: cost 193 inf + 248 392.451 * * [simplify]: Extracting #6: cost 279 inf + 1476 392.453 * * [simplify]: Extracting #7: cost 256 inf + 7441 392.458 * * [simplify]: Extracting #8: cost 178 inf + 22006 392.464 * * [simplify]: Extracting #9: cost 120 inf + 37953 392.475 * * [simplify]: Extracting #10: cost 61 inf + 66689 392.496 * * [simplify]: Extracting #11: cost 6 inf + 116534 392.523 * * [simplify]: Extracting #12: cost 0 inf + 122724 392.549 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 392.549 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 392.550 * * * * [progress]: [ 913 / 5906 ] simplifiying candidate # 392.550 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 392.550 * * [simplify]: iters left: 6 (47 enodes) 392.565 * * [simplify]: iters left: 5 (228 enodes) 392.616 * * [simplify]: Extracting #0: cost 1 inf + 0 392.616 * * [simplify]: Extracting #1: cost 3 inf + 0 392.616 * * [simplify]: Extracting #2: cost 10 inf + 0 392.616 * * [simplify]: Extracting #3: cost 65 inf + 0 392.616 * * [simplify]: Extracting #4: cost 116 inf + 86 392.617 * * [simplify]: Extracting #5: cost 152 inf + 1836 392.618 * * [simplify]: Extracting #6: cost 241 inf + 2932 392.619 * * [simplify]: Extracting #7: cost 241 inf + 3507 392.622 * * [simplify]: Extracting #8: cost 160 inf + 19513 392.629 * * [simplify]: Extracting #9: cost 100 inf + 43731 392.644 * * [simplify]: Extracting #10: cost 39 inf + 70028 392.660 * * [simplify]: Extracting #11: cost 7 inf + 94508 392.681 * * [simplify]: Extracting #12: cost 1 inf + 102218 392.702 * * [simplify]: Extracting #13: cost 0 inf + 103923 392.725 * * [simplify]: Extracting #14: cost 0 inf + 103843 392.746 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) 392.746 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 392.747 * * * * [progress]: [ 914 / 5906 ] simplifiying candidate # 392.747 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 392.747 * * [simplify]: iters left: 6 (48 enodes) 392.760 * * [simplify]: iters left: 5 (227 enodes) 392.811 * * [simplify]: Extracting #0: cost 1 inf + 0 392.811 * * [simplify]: Extracting #1: cost 3 inf + 0 392.811 * * [simplify]: Extracting #2: cost 6 inf + 0 392.811 * * [simplify]: Extracting #3: cost 48 inf + 0 392.812 * * [simplify]: Extracting #4: cost 112 inf + 0 392.812 * * [simplify]: Extracting #5: cost 184 inf + 0 392.813 * * [simplify]: Extracting #6: cost 253 inf + 974 392.814 * * [simplify]: Extracting #7: cost 210 inf + 9285 392.821 * * [simplify]: Extracting #8: cost 114 inf + 29883 392.830 * * [simplify]: Extracting #9: cost 42 inf + 60850 392.847 * * [simplify]: Extracting #10: cost 5 inf + 97467 392.869 * * [simplify]: Extracting #11: cost 0 inf + 103251 392.889 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 392.889 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 392.890 * * * * [progress]: [ 915 / 5906 ] simplifiying candidate # 392.890 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 392.891 * * [simplify]: iters left: 6 (49 enodes) 392.905 * * [simplify]: iters left: 5 (236 enodes) 392.960 * * [simplify]: Extracting #0: cost 1 inf + 0 392.960 * * [simplify]: Extracting #1: cost 3 inf + 0 392.960 * * [simplify]: Extracting #2: cost 6 inf + 0 392.960 * * [simplify]: Extracting #3: cost 52 inf + 0 392.961 * * [simplify]: Extracting #4: cost 135 inf + 0 392.961 * * [simplify]: Extracting #5: cost 197 inf + 85 392.962 * * [simplify]: Extracting #6: cost 221 inf + 7261 392.965 * * [simplify]: Extracting #7: cost 199 inf + 12178 392.968 * * [simplify]: Extracting #8: cost 152 inf + 19523 392.973 * * [simplify]: Extracting #9: cost 100 inf + 33404 392.982 * * [simplify]: Extracting #10: cost 48 inf + 60870 393.002 * * [simplify]: Extracting #11: cost 4 inf + 100210 393.024 * * [simplify]: Extracting #12: cost 0 inf + 104548 393.045 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 393.045 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 393.046 * * * * [progress]: [ 916 / 5906 ] simplifiying candidate # 393.046 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 393.046 * * [simplify]: iters left: 6 (49 enodes) 393.060 * * [simplify]: iters left: 5 (236 enodes) 393.116 * * [simplify]: Extracting #0: cost 1 inf + 0 393.116 * * [simplify]: Extracting #1: cost 3 inf + 0 393.116 * * [simplify]: Extracting #2: cost 6 inf + 0 393.116 * * [simplify]: Extracting #3: cost 54 inf + 0 393.116 * * [simplify]: Extracting #4: cost 133 inf + 0 393.116 * * [simplify]: Extracting #5: cost 192 inf + 166 393.118 * * [simplify]: Extracting #6: cost 225 inf + 5404 393.120 * * [simplify]: Extracting #7: cost 196 inf + 12618 393.124 * * [simplify]: Extracting #8: cost 134 inf + 24139 393.131 * * [simplify]: Extracting #9: cost 71 inf + 44209 393.145 * * [simplify]: Extracting #10: cost 30 inf + 78632 393.165 * * [simplify]: Extracting #11: cost 1 inf + 103056 393.189 * * [simplify]: Extracting #12: cost 0 inf + 103780 393.210 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 393.210 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 393.211 * * * * [progress]: [ 917 / 5906 ] simplifiying candidate # 393.211 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 393.211 * * [simplify]: iters left: 6 (43 enodes) 393.223 * * [simplify]: iters left: 5 (199 enodes) 393.270 * * [simplify]: Extracting #0: cost 1 inf + 0 393.270 * * [simplify]: Extracting #1: cost 3 inf + 0 393.270 * * [simplify]: Extracting #2: cost 6 inf + 0 393.270 * * [simplify]: Extracting #3: cost 46 inf + 0 393.270 * * [simplify]: Extracting #4: cost 101 inf + 0 393.270 * * [simplify]: Extracting #5: cost 140 inf + 167 393.271 * * [simplify]: Extracting #6: cost 195 inf + 1717 393.272 * * [simplify]: Extracting #7: cost 186 inf + 3509 393.275 * * [simplify]: Extracting #8: cost 121 inf + 15913 393.281 * * [simplify]: Extracting #9: cost 71 inf + 33831 393.298 * * [simplify]: Extracting #10: cost 13 inf + 73393 393.315 * * [simplify]: Extracting #11: cost 0 inf + 83799 393.332 * * [simplify]: Extracting #12: cost 0 inf + 83279 393.349 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 393.349 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 393.350 * * * * [progress]: [ 918 / 5906 ] simplifiying candidate # 393.350 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 393.350 * * [simplify]: iters left: 6 (48 enodes) 393.366 * * [simplify]: iters left: 5 (227 enodes) 393.417 * * [simplify]: Extracting #0: cost 1 inf + 0 393.417 * * [simplify]: Extracting #1: cost 3 inf + 0 393.417 * * [simplify]: Extracting #2: cost 10 inf + 0 393.417 * * [simplify]: Extracting #3: cost 62 inf + 0 393.417 * * [simplify]: Extracting #4: cost 115 inf + 42 393.418 * * [simplify]: Extracting #5: cost 161 inf + 207 393.418 * * [simplify]: Extracting #6: cost 216 inf + 2123 393.420 * * [simplify]: Extracting #7: cost 196 inf + 6996 393.422 * * [simplify]: Extracting #8: cost 144 inf + 15642 393.426 * * [simplify]: Extracting #9: cost 102 inf + 24669 393.433 * * [simplify]: Extracting #10: cost 57 inf + 48181 393.450 * * [simplify]: Extracting #11: cost 8 inf + 87236 393.470 * * [simplify]: Extracting #12: cost 0 inf + 97055 393.489 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 393.490 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 393.490 * * * * [progress]: [ 919 / 5906 ] simplifiying candidate # 393.490 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 393.491 * * [simplify]: iters left: 6 (43 enodes) 393.503 * * [simplify]: iters left: 5 (199 enodes) 393.548 * * [simplify]: Extracting #0: cost 1 inf + 0 393.548 * * [simplify]: Extracting #1: cost 3 inf + 0 393.548 * * [simplify]: Extracting #2: cost 10 inf + 0 393.548 * * [simplify]: Extracting #3: cost 54 inf + 0 393.548 * * [simplify]: Extracting #4: cost 95 inf + 86 393.548 * * [simplify]: Extracting #5: cost 121 inf + 1432 393.549 * * [simplify]: Extracting #6: cost 181 inf + 2932 393.550 * * [simplify]: Extracting #7: cost 184 inf + 3303 393.553 * * [simplify]: Extracting #8: cost 125 inf + 14368 393.558 * * [simplify]: Extracting #9: cost 62 inf + 36321 393.571 * * [simplify]: Extracting #10: cost 16 inf + 67628 393.587 * * [simplify]: Extracting #11: cost 3 inf + 74459 393.603 * * [simplify]: Extracting #12: cost 0 inf + 78374 393.619 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1))))) 393.619 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 393.620 * * * * [progress]: [ 920 / 5906 ] simplifiying candidate # 393.620 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 393.621 * * [simplify]: iters left: 6 (48 enodes) 393.637 * * [simplify]: iters left: 5 (227 enodes) 393.690 * * [simplify]: Extracting #0: cost 1 inf + 0 393.690 * * [simplify]: Extracting #1: cost 3 inf + 0 393.690 * * [simplify]: Extracting #2: cost 10 inf + 0 393.690 * * [simplify]: Extracting #3: cost 62 inf + 0 393.690 * * [simplify]: Extracting #4: cost 115 inf + 42 393.690 * * [simplify]: Extracting #5: cost 160 inf + 249 393.691 * * [simplify]: Extracting #6: cost 218 inf + 1880 393.693 * * [simplify]: Extracting #7: cost 194 inf + 8704 393.695 * * [simplify]: Extracting #8: cost 144 inf + 15813 393.699 * * [simplify]: Extracting #9: cost 103 inf + 24405 393.708 * * [simplify]: Extracting #10: cost 56 inf + 48846 393.723 * * [simplify]: Extracting #11: cost 8 inf + 87956 393.743 * * [simplify]: Extracting #12: cost 0 inf + 97855 393.763 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 393.763 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 393.764 * * * * [progress]: [ 921 / 5906 ] simplifiying candidate # 393.764 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 393.764 * * [simplify]: iters left: 6 (43 enodes) 393.775 * * [simplify]: iters left: 5 (199 enodes) 393.819 * * [simplify]: Extracting #0: cost 1 inf + 0 393.819 * * [simplify]: Extracting #1: cost 3 inf + 0 393.819 * * [simplify]: Extracting #2: cost 10 inf + 0 393.819 * * [simplify]: Extracting #3: cost 53 inf + 0 393.820 * * [simplify]: Extracting #4: cost 96 inf + 44 393.820 * * [simplify]: Extracting #5: cost 125 inf + 1105 393.821 * * [simplify]: Extracting #6: cost 181 inf + 2932 393.822 * * [simplify]: Extracting #7: cost 183 inf + 3384 393.824 * * [simplify]: Extracting #8: cost 124 inf + 14610 393.831 * * [simplify]: Extracting #9: cost 57 inf + 40894 393.844 * * [simplify]: Extracting #10: cost 16 inf + 67089 393.859 * * [simplify]: Extracting #11: cost 3 inf + 74539 393.875 * * [simplify]: Extracting #12: cost 0 inf + 78614 393.894 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1))))) 393.894 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 393.895 * * * * [progress]: [ 922 / 5906 ] simplifiying candidate # 393.895 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 393.895 * * [simplify]: iters left: 6 (52 enodes) 393.909 * * [simplify]: iters left: 5 (250 enodes) 393.972 * * [simplify]: Extracting #0: cost 1 inf + 0 393.972 * * [simplify]: Extracting #1: cost 3 inf + 0 393.972 * * [simplify]: Extracting #2: cost 6 inf + 0 393.972 * * [simplify]: Extracting #3: cost 53 inf + 0 393.972 * * [simplify]: Extracting #4: cost 118 inf + 0 393.973 * * [simplify]: Extracting #5: cost 186 inf + 0 393.973 * * [simplify]: Extracting #6: cost 264 inf + 1688 393.975 * * [simplify]: Extracting #7: cost 219 inf + 10048 393.980 * * [simplify]: Extracting #8: cost 121 inf + 30541 393.988 * * [simplify]: Extracting #9: cost 67 inf + 50792 394.006 * * [simplify]: Extracting #10: cost 7 inf + 102545 394.027 * * [simplify]: Extracting #11: cost 1 inf + 108613 394.050 * * [simplify]: Extracting #12: cost 0 inf + 110438 394.075 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 394.075 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 394.075 * * * * [progress]: [ 923 / 5906 ] simplifiying candidate # 394.076 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 394.076 * * [simplify]: iters left: 6 (53 enodes) 394.091 * * [simplify]: iters left: 5 (259 enodes) 394.151 * * [simplify]: Extracting #0: cost 1 inf + 0 394.151 * * [simplify]: Extracting #1: cost 3 inf + 0 394.151 * * [simplify]: Extracting #2: cost 6 inf + 0 394.152 * * [simplify]: Extracting #3: cost 56 inf + 0 394.152 * * [simplify]: Extracting #4: cost 140 inf + 0 394.152 * * [simplify]: Extracting #5: cost 199 inf + 44 394.153 * * [simplify]: Extracting #6: cost 246 inf + 3956 394.156 * * [simplify]: Extracting #7: cost 211 inf + 11195 394.160 * * [simplify]: Extracting #8: cost 127 inf + 27726 394.168 * * [simplify]: Extracting #9: cost 67 inf + 51343 394.185 * * [simplify]: Extracting #10: cost 10 inf + 98883 394.207 * * [simplify]: Extracting #11: cost 0 inf + 109710 394.230 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 394.230 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 394.230 * * * * [progress]: [ 924 / 5906 ] simplifiying candidate # 394.231 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 394.231 * * [simplify]: iters left: 6 (53 enodes) 394.248 * * [simplify]: iters left: 5 (259 enodes) 394.308 * * [simplify]: Extracting #0: cost 1 inf + 0 394.308 * * [simplify]: Extracting #1: cost 3 inf + 0 394.308 * * [simplify]: Extracting #2: cost 6 inf + 0 394.308 * * [simplify]: Extracting #3: cost 58 inf + 0 394.308 * * [simplify]: Extracting #4: cost 138 inf + 0 394.309 * * [simplify]: Extracting #5: cost 195 inf + 44 394.310 * * [simplify]: Extracting #6: cost 238 inf + 5162 394.312 * * [simplify]: Extracting #7: cost 206 inf + 12661 394.320 * * [simplify]: Extracting #8: cost 135 inf + 27667 394.327 * * [simplify]: Extracting #9: cost 81 inf + 47763 394.337 * * [simplify]: Extracting #10: cost 50 inf + 60372 394.349 * * [simplify]: Extracting #11: cost 33 inf + 72037 394.367 * * [simplify]: Extracting #12: cost 7 inf + 98727 394.388 * * [simplify]: Extracting #13: cost 0 inf + 107342 394.410 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 394.410 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 394.411 * * * * [progress]: [ 925 / 5906 ] simplifiying candidate # 394.411 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 394.411 * * [simplify]: iters left: 6 (47 enodes) 394.424 * * [simplify]: iters left: 5 (222 enodes) 394.470 * * [simplify]: Extracting #0: cost 1 inf + 0 394.470 * * [simplify]: Extracting #1: cost 3 inf + 0 394.470 * * [simplify]: Extracting #2: cost 6 inf + 0 394.470 * * [simplify]: Extracting #3: cost 50 inf + 0 394.470 * * [simplify]: Extracting #4: cost 107 inf + 0 394.471 * * [simplify]: Extracting #5: cost 144 inf + 44 394.471 * * [simplify]: Extracting #6: cost 208 inf + 1234 394.473 * * [simplify]: Extracting #7: cost 194 inf + 3675 394.475 * * [simplify]: Extracting #8: cost 135 inf + 15389 394.481 * * [simplify]: Extracting #9: cost 82 inf + 32576 394.495 * * [simplify]: Extracting #10: cost 32 inf + 64792 394.512 * * [simplify]: Extracting #11: cost 2 inf + 86317 394.530 * * [simplify]: Extracting #12: cost 0 inf + 87283 394.548 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 394.548 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 394.549 * * * * [progress]: [ 926 / 5906 ] simplifiying candidate # 394.549 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 394.550 * * [simplify]: iters left: 6 (52 enodes) 394.563 * * [simplify]: iters left: 5 (250 enodes) 394.619 * * [simplify]: Extracting #0: cost 1 inf + 0 394.619 * * [simplify]: Extracting #1: cost 3 inf + 0 394.619 * * [simplify]: Extracting #2: cost 10 inf + 0 394.619 * * [simplify]: Extracting #3: cost 66 inf + 0 394.619 * * [simplify]: Extracting #4: cost 126 inf + 1 394.620 * * [simplify]: Extracting #5: cost 167 inf + 207 394.621 * * [simplify]: Extracting #6: cost 235 inf + 1879 394.622 * * [simplify]: Extracting #7: cost 211 inf + 6949 394.625 * * [simplify]: Extracting #8: cost 140 inf + 19357 394.633 * * [simplify]: Extracting #9: cost 80 inf + 44342 394.649 * * [simplify]: Extracting #10: cost 12 inf + 97250 395.091 * * [simplify]: Extracting #11: cost 5 inf + 104301 395.112 * * [simplify]: Extracting #12: cost 0 inf + 108782 395.134 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 395.134 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 395.135 * * * * [progress]: [ 927 / 5906 ] simplifiying candidate # 395.135 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 395.135 * * [simplify]: iters left: 6 (47 enodes) 395.148 * * [simplify]: iters left: 5 (223 enodes) 395.197 * * [simplify]: Extracting #0: cost 1 inf + 0 395.197 * * [simplify]: Extracting #1: cost 3 inf + 0 395.197 * * [simplify]: Extracting #2: cost 10 inf + 0 395.197 * * [simplify]: Extracting #3: cost 57 inf + 0 395.197 * * [simplify]: Extracting #4: cost 105 inf + 44 395.198 * * [simplify]: Extracting #5: cost 130 inf + 1346 395.199 * * [simplify]: Extracting #6: cost 197 inf + 2972 395.200 * * [simplify]: Extracting #7: cost 198 inf + 3425 395.202 * * [simplify]: Extracting #8: cost 166 inf + 7490 395.205 * * [simplify]: Extracting #9: cost 117 inf + 18907 395.212 * * [simplify]: Extracting #10: cost 47 inf + 48067 395.226 * * [simplify]: Extracting #11: cost 5 inf + 79254 395.243 * * [simplify]: Extracting #12: cost 0 inf + 86179 395.263 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) 395.263 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 395.264 * * * * [progress]: [ 928 / 5906 ] simplifiying candidate # 395.264 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 395.264 * * [simplify]: iters left: 6 (52 enodes) 395.279 * * [simplify]: iters left: 5 (250 enodes) 395.335 * * [simplify]: Extracting #0: cost 1 inf + 0 395.335 * * [simplify]: Extracting #1: cost 3 inf + 0 395.335 * * [simplify]: Extracting #2: cost 10 inf + 0 395.335 * * [simplify]: Extracting #3: cost 66 inf + 0 395.335 * * [simplify]: Extracting #4: cost 126 inf + 1 395.336 * * [simplify]: Extracting #5: cost 167 inf + 207 395.339 * * [simplify]: Extracting #6: cost 232 inf + 2241 395.341 * * [simplify]: Extracting #7: cost 212 inf + 6657 395.343 * * [simplify]: Extracting #8: cost 151 inf + 16438 395.347 * * [simplify]: Extracting #9: cost 118 inf + 26303 395.355 * * [simplify]: Extracting #10: cost 64 inf + 52870 395.372 * * [simplify]: Extracting #11: cost 8 inf + 100186 395.394 * * [simplify]: Extracting #12: cost 1 inf + 107757 395.416 * * [simplify]: Extracting #13: cost 0 inf + 109582 395.439 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 395.439 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 395.440 * * * * [progress]: [ 929 / 5906 ] simplifiying candidate # 395.440 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 395.441 * * [simplify]: iters left: 6 (47 enodes) 395.453 * * [simplify]: iters left: 5 (223 enodes) 395.499 * * [simplify]: Extracting #0: cost 1 inf + 0 395.499 * * [simplify]: Extracting #1: cost 3 inf + 0 395.499 * * [simplify]: Extracting #2: cost 10 inf + 0 395.499 * * [simplify]: Extracting #3: cost 56 inf + 0 395.499 * * [simplify]: Extracting #4: cost 104 inf + 86 395.500 * * [simplify]: Extracting #5: cost 124 inf + 1918 395.501 * * [simplify]: Extracting #6: cost 197 inf + 2932 395.502 * * [simplify]: Extracting #7: cost 199 inf + 3304 395.504 * * [simplify]: Extracting #8: cost 167 inf + 7369 395.507 * * [simplify]: Extracting #9: cost 119 inf + 18401 395.516 * * [simplify]: Extracting #10: cost 46 inf + 48749 395.530 * * [simplify]: Extracting #11: cost 4 inf + 81119 395.548 * * [simplify]: Extracting #12: cost 0 inf + 86499 395.565 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) 395.565 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 395.566 * * * * [progress]: [ 930 / 5906 ] simplifiying candidate # 395.566 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 395.566 * * [simplify]: iters left: 6 (52 enodes) 395.580 * * [simplify]: iters left: 5 (254 enodes) 395.641 * * [simplify]: Extracting #0: cost 1 inf + 0 395.641 * * [simplify]: Extracting #1: cost 3 inf + 0 395.641 * * [simplify]: Extracting #2: cost 6 inf + 0 395.642 * * [simplify]: Extracting #3: cost 56 inf + 0 395.642 * * [simplify]: Extracting #4: cost 130 inf + 0 395.642 * * [simplify]: Extracting #5: cost 210 inf + 0 395.643 * * [simplify]: Extracting #6: cost 292 inf + 1145 395.644 * * [simplify]: Extracting #7: cost 256 inf + 7920 395.648 * * [simplify]: Extracting #8: cost 151 inf + 29864 395.658 * * [simplify]: Extracting #9: cost 64 inf + 62419 395.680 * * [simplify]: Extracting #10: cost 8 inf + 112736 395.703 * * [simplify]: Extracting #11: cost 1 inf + 121791 395.727 * * [simplify]: Extracting #12: cost 0 inf + 123816 395.752 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 395.752 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 395.753 * * * * [progress]: [ 931 / 5906 ] simplifiying candidate # 395.753 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 395.753 * * [simplify]: iters left: 6 (53 enodes) 395.767 * * [simplify]: iters left: 5 (263 enodes) 395.828 * * [simplify]: Extracting #0: cost 1 inf + 0 395.828 * * [simplify]: Extracting #1: cost 3 inf + 0 395.828 * * [simplify]: Extracting #2: cost 6 inf + 0 395.828 * * [simplify]: Extracting #3: cost 60 inf + 0 395.829 * * [simplify]: Extracting #4: cost 153 inf + 0 395.829 * * [simplify]: Extracting #5: cost 224 inf + 44 395.830 * * [simplify]: Extracting #6: cost 269 inf + 4722 395.833 * * [simplify]: Extracting #7: cost 238 inf + 11448 395.837 * * [simplify]: Extracting #8: cost 171 inf + 24966 395.844 * * [simplify]: Extracting #9: cost 107 inf + 47992 395.859 * * [simplify]: Extracting #10: cost 54 inf + 72426 395.879 * * [simplify]: Extracting #11: cost 8 inf + 118873 395.904 * * [simplify]: Extracting #12: cost 0 inf + 129113 395.930 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 395.930 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 395.930 * * * * [progress]: [ 932 / 5906 ] simplifiying candidate # 395.931 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 395.931 * * [simplify]: iters left: 6 (53 enodes) 395.947 * * [simplify]: iters left: 5 (263 enodes) 396.007 * * [simplify]: Extracting #0: cost 1 inf + 0 396.007 * * [simplify]: Extracting #1: cost 3 inf + 0 396.007 * * [simplify]: Extracting #2: cost 6 inf + 0 396.007 * * [simplify]: Extracting #3: cost 62 inf + 0 396.008 * * [simplify]: Extracting #4: cost 151 inf + 0 396.008 * * [simplify]: Extracting #5: cost 220 inf + 44 396.009 * * [simplify]: Extracting #6: cost 269 inf + 4315 396.012 * * [simplify]: Extracting #7: cost 230 inf + 12340 396.016 * * [simplify]: Extracting #8: cost 167 inf + 23752 396.026 * * [simplify]: Extracting #9: cost 104 inf + 49273 396.046 * * [simplify]: Extracting #10: cost 11 inf + 117192 396.070 * * [simplify]: Extracting #11: cost 0 inf + 126785 396.096 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 396.096 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 396.096 * * * * [progress]: [ 933 / 5906 ] simplifiying candidate # 396.097 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 396.097 * * [simplify]: iters left: 6 (47 enodes) 396.109 * * [simplify]: iters left: 5 (227 enodes) 396.160 * * [simplify]: Extracting #0: cost 1 inf + 0 396.160 * * [simplify]: Extracting #1: cost 3 inf + 0 396.160 * * [simplify]: Extracting #2: cost 6 inf + 0 396.160 * * [simplify]: Extracting #3: cost 54 inf + 0 396.160 * * [simplify]: Extracting #4: cost 119 inf + 0 396.160 * * [simplify]: Extracting #5: cost 168 inf + 44 396.161 * * [simplify]: Extracting #6: cost 236 inf + 1233 396.162 * * [simplify]: Extracting #7: cost 219 inf + 4160 396.166 * * [simplify]: Extracting #8: cost 135 inf + 24052 396.173 * * [simplify]: Extracting #9: cost 79 inf + 44327 396.191 * * [simplify]: Extracting #10: cost 12 inf + 92253 396.211 * * [simplify]: Extracting #11: cost 1 inf + 101499 396.231 * * [simplify]: Extracting #12: cost 0 inf + 102524 396.252 * * [simplify]: Extracting #13: cost 0 inf + 102484 396.273 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 396.273 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 396.274 * * * * [progress]: [ 934 / 5906 ] simplifiying candidate # 396.274 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 396.275 * * [simplify]: iters left: 6 (52 enodes) 396.289 * * [simplify]: iters left: 5 (255 enodes) 396.347 * * [simplify]: Extracting #0: cost 1 inf + 0 396.347 * * [simplify]: Extracting #1: cost 3 inf + 0 396.347 * * [simplify]: Extracting #2: cost 10 inf + 0 396.347 * * [simplify]: Extracting #3: cost 74 inf + 0 396.348 * * [simplify]: Extracting #4: cost 137 inf + 1 396.348 * * [simplify]: Extracting #5: cost 189 inf + 248 396.349 * * [simplify]: Extracting #6: cost 259 inf + 2161 396.350 * * [simplify]: Extracting #7: cost 228 inf + 8279 396.354 * * [simplify]: Extracting #8: cost 151 inf + 24058 396.363 * * [simplify]: Extracting #9: cost 68 inf + 55072 396.377 * * [simplify]: Extracting #10: cost 34 inf + 77405 396.398 * * [simplify]: Extracting #11: cost 4 inf + 113075 396.421 * * [simplify]: Extracting #12: cost 0 inf + 119495 396.445 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 396.445 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 396.446 * * * * [progress]: [ 935 / 5906 ] simplifiying candidate # 396.446 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 396.446 * * [simplify]: iters left: 6 (47 enodes) 396.459 * * [simplify]: iters left: 5 (227 enodes) 396.509 * * [simplify]: Extracting #0: cost 1 inf + 0 396.509 * * [simplify]: Extracting #1: cost 3 inf + 0 396.509 * * [simplify]: Extracting #2: cost 10 inf + 0 396.509 * * [simplify]: Extracting #3: cost 66 inf + 0 396.510 * * [simplify]: Extracting #4: cost 117 inf + 44 396.510 * * [simplify]: Extracting #5: cost 154 inf + 1064 396.511 * * [simplify]: Extracting #6: cost 223 inf + 2972 396.512 * * [simplify]: Extracting #7: cost 222 inf + 3629 396.516 * * [simplify]: Extracting #8: cost 141 inf + 21297 396.524 * * [simplify]: Extracting #9: cost 61 inf + 54699 396.542 * * [simplify]: Extracting #10: cost 9 inf + 89549 396.562 * * [simplify]: Extracting #11: cost 1 inf + 97149 396.582 * * [simplify]: Extracting #12: cost 0 inf + 98974 396.603 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 396.603 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 396.604 * * * * [progress]: [ 936 / 5906 ] simplifiying candidate # 396.604 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 396.605 * * [simplify]: iters left: 6 (52 enodes) 396.619 * * [simplify]: iters left: 5 (255 enodes) 396.678 * * [simplify]: Extracting #0: cost 1 inf + 0 396.678 * * [simplify]: Extracting #1: cost 3 inf + 0 396.678 * * [simplify]: Extracting #2: cost 10 inf + 0 396.678 * * [simplify]: Extracting #3: cost 74 inf + 0 396.679 * * [simplify]: Extracting #4: cost 137 inf + 1 396.679 * * [simplify]: Extracting #5: cost 189 inf + 248 396.680 * * [simplify]: Extracting #6: cost 262 inf + 1395 396.681 * * [simplify]: Extracting #7: cost 237 inf + 6171 396.685 * * [simplify]: Extracting #8: cost 149 inf + 24810 396.694 * * [simplify]: Extracting #9: cost 68 inf + 55552 396.706 * * [simplify]: Extracting #10: cost 34 inf + 78365 396.729 * * [simplify]: Extracting #11: cost 4 inf + 114035 396.754 * * [simplify]: Extracting #12: cost 0 inf + 120455 396.777 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 396.777 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 396.778 * * * * [progress]: [ 937 / 5906 ] simplifiying candidate # 396.778 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 396.779 * * [simplify]: iters left: 6 (47 enodes) 396.791 * * [simplify]: iters left: 5 (227 enodes) 396.843 * * [simplify]: Extracting #0: cost 1 inf + 0 396.843 * * [simplify]: Extracting #1: cost 3 inf + 0 396.843 * * [simplify]: Extracting #2: cost 10 inf + 0 396.843 * * [simplify]: Extracting #3: cost 65 inf + 0 396.843 * * [simplify]: Extracting #4: cost 116 inf + 86 396.844 * * [simplify]: Extracting #5: cost 149 inf + 1594 396.845 * * [simplify]: Extracting #6: cost 223 inf + 2932 396.846 * * [simplify]: Extracting #7: cost 218 inf + 4197 396.849 * * [simplify]: Extracting #8: cost 143 inf + 20247 396.858 * * [simplify]: Extracting #9: cost 59 inf + 56587 396.874 * * [simplify]: Extracting #10: cost 9 inf + 89629 396.894 * * [simplify]: Extracting #11: cost 1 inf + 97549 396.917 * * [simplify]: Extracting #12: cost 0 inf + 99374 396.937 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 396.937 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 396.938 * * * * [progress]: [ 938 / 5906 ] simplifiying candidate # 396.938 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 396.938 * * [simplify]: iters left: 6 (50 enodes) 396.952 * * [simplify]: iters left: 5 (239 enodes) 397.008 * * [simplify]: Extracting #0: cost 1 inf + 0 397.008 * * [simplify]: Extracting #1: cost 3 inf + 0 397.008 * * [simplify]: Extracting #2: cost 6 inf + 0 397.008 * * [simplify]: Extracting #3: cost 57 inf + 0 397.009 * * [simplify]: Extracting #4: cost 128 inf + 0 397.009 * * [simplify]: Extracting #5: cost 198 inf + 0 397.010 * * [simplify]: Extracting #6: cost 268 inf + 3660 397.012 * * [simplify]: Extracting #7: cost 217 inf + 11113 397.016 * * [simplify]: Extracting #8: cost 159 inf + 20631 397.021 * * [simplify]: Extracting #9: cost 113 inf + 34997 397.031 * * [simplify]: Extracting #10: cost 61 inf + 58557 397.049 * * [simplify]: Extracting #11: cost 10 inf + 104832 397.072 * * [simplify]: Extracting #12: cost 1 inf + 114937 397.098 * * [simplify]: Extracting #13: cost 0 inf + 116762 397.123 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 397.123 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 397.124 * * * * [progress]: [ 939 / 5906 ] simplifiying candidate # 397.124 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 397.124 * * [simplify]: iters left: 6 (51 enodes) 397.138 * * [simplify]: iters left: 5 (248 enodes) 397.200 * * [simplify]: Extracting #0: cost 1 inf + 0 397.200 * * [simplify]: Extracting #1: cost 3 inf + 0 397.200 * * [simplify]: Extracting #2: cost 6 inf + 0 397.200 * * [simplify]: Extracting #3: cost 61 inf + 0 397.201 * * [simplify]: Extracting #4: cost 151 inf + 0 397.201 * * [simplify]: Extracting #5: cost 212 inf + 44 397.202 * * [simplify]: Extracting #6: cost 259 inf + 3345 397.204 * * [simplify]: Extracting #7: cost 214 inf + 12612 397.208 * * [simplify]: Extracting #8: cost 156 inf + 22861 397.214 * * [simplify]: Extracting #9: cost 111 inf + 38678 397.224 * * [simplify]: Extracting #10: cost 56 inf + 64019 397.244 * * [simplify]: Extracting #11: cost 12 inf + 103119 397.268 * * [simplify]: Extracting #12: cost 1 inf + 115114 397.291 * * [simplify]: Extracting #13: cost 0 inf + 116939 397.315 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 397.315 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 397.316 * * * * [progress]: [ 940 / 5906 ] simplifiying candidate # 397.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 397.316 * * [simplify]: iters left: 6 (51 enodes) 397.331 * * [simplify]: iters left: 5 (248 enodes) 397.387 * * [simplify]: Extracting #0: cost 1 inf + 0 397.387 * * [simplify]: Extracting #1: cost 3 inf + 0 397.387 * * [simplify]: Extracting #2: cost 6 inf + 0 397.388 * * [simplify]: Extracting #3: cost 63 inf + 0 397.388 * * [simplify]: Extracting #4: cost 149 inf + 0 397.388 * * [simplify]: Extracting #5: cost 208 inf + 44 397.391 * * [simplify]: Extracting #6: cost 253 inf + 3830 397.393 * * [simplify]: Extracting #7: cost 214 inf + 12242 397.397 * * [simplify]: Extracting #8: cost 150 inf + 23772 397.404 * * [simplify]: Extracting #9: cost 102 inf + 44181 397.414 * * [simplify]: Extracting #10: cost 57 inf + 63906 397.434 * * [simplify]: Extracting #11: cost 19 inf + 96456 397.457 * * [simplify]: Extracting #12: cost 1 inf + 115346 397.481 * * [simplify]: Extracting #13: cost 0 inf + 117251 397.505 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 397.505 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 397.505 * * * * [progress]: [ 941 / 5906 ] simplifiying candidate # 397.506 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 397.506 * * [simplify]: iters left: 6 (45 enodes) 397.518 * * [simplify]: iters left: 5 (212 enodes) 397.566 * * [simplify]: Extracting #0: cost 1 inf + 0 397.566 * * [simplify]: Extracting #1: cost 3 inf + 0 397.566 * * [simplify]: Extracting #2: cost 6 inf + 0 397.566 * * [simplify]: Extracting #3: cost 55 inf + 0 397.566 * * [simplify]: Extracting #4: cost 117 inf + 0 397.566 * * [simplify]: Extracting #5: cost 155 inf + 85 397.567 * * [simplify]: Extracting #6: cost 217 inf + 1032 397.568 * * [simplify]: Extracting #7: cost 211 inf + 2538 397.570 * * [simplify]: Extracting #8: cost 167 inf + 8586 397.574 * * [simplify]: Extracting #9: cost 116 inf + 25300 397.588 * * [simplify]: Extracting #10: cost 15 inf + 86755 397.608 * * [simplify]: Extracting #11: cost 0 inf + 95190 397.629 * * [simplify]: Extracting #12: cost 0 inf + 94750 397.649 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 397.649 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 397.650 * * * * [progress]: [ 942 / 5906 ] simplifiying candidate # 397.650 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 397.650 * * [simplify]: iters left: 6 (50 enodes) 397.664 * * [simplify]: iters left: 5 (240 enodes) 397.721 * * [simplify]: Extracting #0: cost 1 inf + 0 397.721 * * [simplify]: Extracting #1: cost 3 inf + 0 397.721 * * [simplify]: Extracting #2: cost 10 inf + 0 397.721 * * [simplify]: Extracting #3: cost 75 inf + 0 397.721 * * [simplify]: Extracting #4: cost 142 inf + 1 397.722 * * [simplify]: Extracting #5: cost 185 inf + 207 397.722 * * [simplify]: Extracting #6: cost 245 inf + 2363 397.724 * * [simplify]: Extracting #7: cost 209 inf + 9068 397.728 * * [simplify]: Extracting #8: cost 139 inf + 26300 397.735 * * [simplify]: Extracting #9: cost 81 inf + 49948 397.751 * * [simplify]: Extracting #10: cost 16 inf + 98917 397.774 * * [simplify]: Extracting #11: cost 1 inf + 112551 397.800 * * [simplify]: Extracting #12: cost 0 inf + 114176 397.823 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) 397.823 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 397.824 * * * * [progress]: [ 943 / 5906 ] simplifiying candidate # 397.824 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 397.824 * * [simplify]: iters left: 6 (45 enodes) 397.836 * * [simplify]: iters left: 5 (212 enodes) 397.883 * * [simplify]: Extracting #0: cost 1 inf + 0 397.883 * * [simplify]: Extracting #1: cost 3 inf + 0 397.883 * * [simplify]: Extracting #2: cost 10 inf + 0 397.883 * * [simplify]: Extracting #3: cost 67 inf + 0 397.883 * * [simplify]: Extracting #4: cost 123 inf + 2 397.884 * * [simplify]: Extracting #5: cost 152 inf + 698 397.885 * * [simplify]: Extracting #6: cost 211 inf + 2932 397.886 * * [simplify]: Extracting #7: cost 214 inf + 3302 397.887 * * [simplify]: Extracting #8: cost 178 inf + 7734 397.891 * * [simplify]: Extracting #9: cost 120 inf + 25320 397.900 * * [simplify]: Extracting #10: cost 35 inf + 64250 397.916 * * [simplify]: Extracting #11: cost 1 inf + 93990 397.935 * * [simplify]: Extracting #12: cost 0 inf + 95575 397.953 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) 397.953 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 397.954 * * * * [progress]: [ 944 / 5906 ] simplifiying candidate # 397.954 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 397.954 * * [simplify]: iters left: 6 (50 enodes) 397.969 * * [simplify]: iters left: 5 (240 enodes) 398.022 * * [simplify]: Extracting #0: cost 1 inf + 0 398.022 * * [simplify]: Extracting #1: cost 3 inf + 0 398.022 * * [simplify]: Extracting #2: cost 10 inf + 0 398.022 * * [simplify]: Extracting #3: cost 75 inf + 0 398.022 * * [simplify]: Extracting #4: cost 142 inf + 1 398.023 * * [simplify]: Extracting #5: cost 185 inf + 207 398.024 * * [simplify]: Extracting #6: cost 247 inf + 1799 398.025 * * [simplify]: Extracting #7: cost 215 inf + 7817 398.029 * * [simplify]: Extracting #8: cost 140 inf + 26178 398.036 * * [simplify]: Extracting #9: cost 83 inf + 49041 398.055 * * [simplify]: Extracting #10: cost 16 inf + 99797 398.077 * * [simplify]: Extracting #11: cost 1 inf + 113511 398.099 * * [simplify]: Extracting #12: cost 0 inf + 115136 398.123 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) 398.123 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 398.124 * * * * [progress]: [ 945 / 5906 ] simplifiying candidate # 398.124 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 398.124 * * [simplify]: iters left: 6 (45 enodes) 398.136 * * [simplify]: iters left: 5 (212 enodes) 398.182 * * [simplify]: Extracting #0: cost 1 inf + 0 398.182 * * [simplify]: Extracting #1: cost 3 inf + 0 398.183 * * [simplify]: Extracting #2: cost 10 inf + 0 398.183 * * [simplify]: Extracting #3: cost 66 inf + 0 398.183 * * [simplify]: Extracting #4: cost 123 inf + 2 398.183 * * [simplify]: Extracting #5: cost 155 inf + 333 398.184 * * [simplify]: Extracting #6: cost 216 inf + 2082 398.185 * * [simplify]: Extracting #7: cost 212 inf + 3426 398.187 * * [simplify]: Extracting #8: cost 180 inf + 7410 398.191 * * [simplify]: Extracting #9: cost 122 inf + 24371 398.201 * * [simplify]: Extracting #10: cost 36 inf + 63885 398.217 * * [simplify]: Extracting #11: cost 1 inf + 94390 398.237 * * [simplify]: Extracting #12: cost 0 inf + 95975 398.256 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 398.256 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 398.256 * * * * [progress]: [ 946 / 5906 ] simplifiying candidate # 398.257 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 398.257 * * [simplify]: iters left: 6 (51 enodes) 398.271 * * [simplify]: iters left: 5 (243 enodes) 398.327 * * [simplify]: Extracting #0: cost 1 inf + 0 398.327 * * [simplify]: Extracting #1: cost 3 inf + 0 398.327 * * [simplify]: Extracting #2: cost 6 inf + 0 398.328 * * [simplify]: Extracting #3: cost 56 inf + 0 398.328 * * [simplify]: Extracting #4: cost 130 inf + 0 398.328 * * [simplify]: Extracting #5: cost 207 inf + 0 398.329 * * [simplify]: Extracting #6: cost 269 inf + 1913 398.331 * * [simplify]: Extracting #7: cost 201 inf + 13660 398.336 * * [simplify]: Extracting #8: cost 122 inf + 38849 398.346 * * [simplify]: Extracting #9: cost 60 inf + 61665 398.359 * * [simplify]: Extracting #10: cost 33 inf + 82100 398.381 * * [simplify]: Extracting #11: cost 3 inf + 117490 398.407 * * [simplify]: Extracting #12: cost 0 inf + 121925 398.431 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) 398.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 398.432 * * * * [progress]: [ 947 / 5906 ] simplifiying candidate # 398.432 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 398.433 * * [simplify]: iters left: 6 (52 enodes) 398.448 * * [simplify]: iters left: 5 (252 enodes) 398.507 * * [simplify]: Extracting #0: cost 1 inf + 0 398.507 * * [simplify]: Extracting #1: cost 3 inf + 0 398.507 * * [simplify]: Extracting #2: cost 6 inf + 0 398.507 * * [simplify]: Extracting #3: cost 60 inf + 0 398.508 * * [simplify]: Extracting #4: cost 153 inf + 0 398.508 * * [simplify]: Extracting #5: cost 221 inf + 44 398.510 * * [simplify]: Extracting #6: cost 248 inf + 5178 398.513 * * [simplify]: Extracting #7: cost 182 inf + 18248 398.519 * * [simplify]: Extracting #8: cost 133 inf + 36926 398.527 * * [simplify]: Extracting #9: cost 87 inf + 56456 398.539 * * [simplify]: Extracting #10: cost 50 inf + 71052 398.558 * * [simplify]: Extracting #11: cost 7 inf + 117767 398.585 * * [simplify]: Extracting #12: cost 1 inf + 124797 398.610 * * [simplify]: Extracting #13: cost 0 inf + 126942 398.634 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) 398.634 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 398.635 * * * * [progress]: [ 948 / 5906 ] simplifiying candidate # 398.635 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 398.635 * * [simplify]: iters left: 6 (52 enodes) 398.649 * * [simplify]: iters left: 5 (252 enodes) 398.707 * * [simplify]: Extracting #0: cost 1 inf + 0 398.707 * * [simplify]: Extracting #1: cost 3 inf + 0 398.707 * * [simplify]: Extracting #2: cost 6 inf + 0 398.707 * * [simplify]: Extracting #3: cost 62 inf + 0 398.707 * * [simplify]: Extracting #4: cost 151 inf + 0 398.708 * * [simplify]: Extracting #5: cost 217 inf + 44 398.709 * * [simplify]: Extracting #6: cost 239 inf + 6665 398.712 * * [simplify]: Extracting #7: cost 181 inf + 18162 398.719 * * [simplify]: Extracting #8: cost 103 inf + 45362 398.730 * * [simplify]: Extracting #9: cost 54 inf + 67424 398.751 * * [simplify]: Extracting #10: cost 10 inf + 112684 398.775 * * [simplify]: Extracting #11: cost 1 inf + 122469 398.799 * * [simplify]: Extracting #12: cost 0 inf + 124614 398.823 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 398.823 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 398.824 * * * * [progress]: [ 949 / 5906 ] simplifiying candidate # 398.824 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 398.825 * * [simplify]: iters left: 6 (46 enodes) 398.838 * * [simplify]: iters left: 5 (216 enodes) 398.885 * * [simplify]: Extracting #0: cost 1 inf + 0 398.885 * * [simplify]: Extracting #1: cost 3 inf + 0 398.885 * * [simplify]: Extracting #2: cost 6 inf + 0 398.885 * * [simplify]: Extracting #3: cost 54 inf + 0 398.886 * * [simplify]: Extracting #4: cost 119 inf + 0 398.886 * * [simplify]: Extracting #5: cost 164 inf + 86 398.887 * * [simplify]: Extracting #6: cost 217 inf + 1845 398.888 * * [simplify]: Extracting #7: cost 194 inf + 5710 398.892 * * [simplify]: Extracting #8: cost 133 inf + 21946 398.900 * * [simplify]: Extracting #9: cost 56 inf + 52798 398.918 * * [simplify]: Extracting #10: cost 11 inf + 89104 398.937 * * [simplify]: Extracting #11: cost 0 inf + 99433 398.957 * * [simplify]: Extracting #12: cost 0 inf + 99113 398.977 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 398.977 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 398.977 * * * * [progress]: [ 950 / 5906 ] simplifiying candidate # 398.978 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 398.978 * * [simplify]: iters left: 6 (51 enodes) 398.992 * * [simplify]: iters left: 5 (244 enodes) 399.047 * * [simplify]: Extracting #0: cost 1 inf + 0 399.047 * * [simplify]: Extracting #1: cost 3 inf + 0 399.047 * * [simplify]: Extracting #2: cost 10 inf + 0 399.048 * * [simplify]: Extracting #3: cost 74 inf + 0 399.048 * * [simplify]: Extracting #4: cost 137 inf + 1 399.048 * * [simplify]: Extracting #5: cost 186 inf + 249 399.049 * * [simplify]: Extracting #6: cost 238 inf + 2294 399.052 * * [simplify]: Extracting #7: cost 188 inf + 11732 399.055 * * [simplify]: Extracting #8: cost 145 inf + 24296 399.062 * * [simplify]: Extracting #9: cost 95 inf + 44660 399.071 * * [simplify]: Extracting #10: cost 57 inf + 59579 399.090 * * [simplify]: Extracting #11: cost 16 inf + 96204 399.114 * * [simplify]: Extracting #12: cost 1 inf + 114419 399.137 * * [simplify]: Extracting #13: cost 0 inf + 116084 399.161 * * [simplify]: Extracting #14: cost 0 inf + 116044 399.185 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) 399.185 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 399.186 * * * * [progress]: [ 951 / 5906 ] simplifiying candidate # 399.186 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 399.186 * * [simplify]: iters left: 6 (46 enodes) 399.200 * * [simplify]: iters left: 5 (216 enodes) 399.246 * * [simplify]: Extracting #0: cost 1 inf + 0 399.246 * * [simplify]: Extracting #1: cost 3 inf + 0 399.246 * * [simplify]: Extracting #2: cost 10 inf + 0 399.247 * * [simplify]: Extracting #3: cost 66 inf + 0 399.247 * * [simplify]: Extracting #4: cost 117 inf + 44 399.247 * * [simplify]: Extracting #5: cost 154 inf + 618 399.248 * * [simplify]: Extracting #6: cost 209 inf + 2814 399.250 * * [simplify]: Extracting #7: cost 186 inf + 6321 399.254 * * [simplify]: Extracting #8: cost 109 inf + 28717 399.263 * * [simplify]: Extracting #9: cost 48 inf + 57419 399.282 * * [simplify]: Extracting #10: cost 4 inf + 92009 399.301 * * [simplify]: Extracting #11: cost 0 inf + 96003 399.320 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) 399.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 399.321 * * * * [progress]: [ 952 / 5906 ] simplifiying candidate # 399.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 399.321 * * [simplify]: iters left: 6 (51 enodes) 399.335 * * [simplify]: iters left: 5 (244 enodes) 399.392 * * [simplify]: Extracting #0: cost 1 inf + 0 399.392 * * [simplify]: Extracting #1: cost 3 inf + 0 399.392 * * [simplify]: Extracting #2: cost 10 inf + 0 399.392 * * [simplify]: Extracting #3: cost 74 inf + 0 399.392 * * [simplify]: Extracting #4: cost 137 inf + 1 399.393 * * [simplify]: Extracting #5: cost 187 inf + 207 399.393 * * [simplify]: Extracting #6: cost 239 inf + 2454 399.396 * * [simplify]: Extracting #7: cost 181 inf + 14151 399.400 * * [simplify]: Extracting #8: cost 143 inf + 25302 399.407 * * [simplify]: Extracting #9: cost 91 inf + 47680 399.418 * * [simplify]: Extracting #10: cost 48 inf + 66524 399.437 * * [simplify]: Extracting #11: cost 9 inf + 103619 399.462 * * [simplify]: Extracting #12: cost 1 inf + 114219 399.485 * * [simplify]: Extracting #13: cost 0 inf + 115844 399.508 * * [simplify]: Extracting #14: cost 0 inf + 115804 399.531 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) 399.531 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 399.532 * * * * [progress]: [ 953 / 5906 ] simplifiying candidate # 399.532 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 399.532 * * [simplify]: iters left: 6 (46 enodes) 399.545 * * [simplify]: iters left: 5 (216 enodes) 399.592 * * [simplify]: Extracting #0: cost 1 inf + 0 399.592 * * [simplify]: Extracting #1: cost 3 inf + 0 399.592 * * [simplify]: Extracting #2: cost 10 inf + 0 399.592 * * [simplify]: Extracting #3: cost 65 inf + 0 399.593 * * [simplify]: Extracting #4: cost 117 inf + 44 399.593 * * [simplify]: Extracting #5: cost 151 inf + 904 399.594 * * [simplify]: Extracting #6: cost 208 inf + 2976 399.595 * * [simplify]: Extracting #7: cost 188 inf + 6119 399.600 * * [simplify]: Extracting #8: cost 105 inf + 32168 399.610 * * [simplify]: Extracting #9: cost 38 inf + 64216 399.627 * * [simplify]: Extracting #10: cost 4 inf + 92769 399.648 * * [simplify]: Extracting #11: cost 0 inf + 96443 399.667 * * [simplify]: Extracting #12: cost 0 inf + 96403 399.686 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 399.686 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 399.687 * * * * [progress]: [ 954 / 5906 ] simplifiying candidate # 399.687 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 399.687 * * [simplify]: iters left: 6 (48 enodes) 399.700 * * [simplify]: iters left: 5 (230 enodes) 399.754 * * [simplify]: Extracting #0: cost 1 inf + 0 399.754 * * [simplify]: Extracting #1: cost 3 inf + 0 399.754 * * [simplify]: Extracting #2: cost 6 inf + 0 399.754 * * [simplify]: Extracting #3: cost 54 inf + 0 399.754 * * [simplify]: Extracting #4: cost 120 inf + 0 399.755 * * [simplify]: Extracting #5: cost 192 inf + 0 399.755 * * [simplify]: Extracting #6: cost 262 inf + 762 399.756 * * [simplify]: Extracting #7: cost 230 inf + 6457 399.760 * * [simplify]: Extracting #8: cost 140 inf + 24190 399.767 * * [simplify]: Extracting #9: cost 73 inf + 48306 399.783 * * [simplify]: Extracting #10: cost 17 inf + 92914 399.803 * * [simplify]: Extracting #11: cost 4 inf + 105328 399.827 * * [simplify]: Extracting #12: cost 0 inf + 109445 399.848 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 399.848 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 399.849 * * * * [progress]: [ 955 / 5906 ] simplifiying candidate # 399.849 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 399.849 * * [simplify]: iters left: 6 (49 enodes) 399.863 * * [simplify]: iters left: 5 (239 enodes) 399.919 * * [simplify]: Extracting #0: cost 1 inf + 0 399.919 * * [simplify]: Extracting #1: cost 3 inf + 0 399.919 * * [simplify]: Extracting #2: cost 6 inf + 0 399.919 * * [simplify]: Extracting #3: cost 58 inf + 0 399.919 * * [simplify]: Extracting #4: cost 143 inf + 0 399.920 * * [simplify]: Extracting #5: cost 205 inf + 85 399.921 * * [simplify]: Extracting #6: cost 236 inf + 5408 399.924 * * [simplify]: Extracting #7: cost 208 inf + 12027 399.927 * * [simplify]: Extracting #8: cost 159 inf + 20213 399.933 * * [simplify]: Extracting #9: cost 99 inf + 42070 399.945 * * [simplify]: Extracting #10: cost 35 inf + 76168 399.965 * * [simplify]: Extracting #11: cost 2 inf + 108052 399.989 * * [simplify]: Extracting #12: cost 0 inf + 110782 400.011 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 400.011 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 400.012 * * * * [progress]: [ 956 / 5906 ] simplifiying candidate # 400.012 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 400.012 * * [simplify]: iters left: 6 (49 enodes) 400.026 * * [simplify]: iters left: 5 (239 enodes) 400.084 * * [simplify]: Extracting #0: cost 1 inf + 0 400.084 * * [simplify]: Extracting #1: cost 3 inf + 0 400.084 * * [simplify]: Extracting #2: cost 6 inf + 0 400.084 * * [simplify]: Extracting #3: cost 60 inf + 0 400.084 * * [simplify]: Extracting #4: cost 141 inf + 0 400.085 * * [simplify]: Extracting #5: cost 200 inf + 166 400.086 * * [simplify]: Extracting #6: cost 224 inf + 7382 400.089 * * [simplify]: Extracting #7: cost 199 inf + 12475 400.093 * * [simplify]: Extracting #8: cost 126 inf + 30750 400.102 * * [simplify]: Extracting #9: cost 63 inf + 56350 400.118 * * [simplify]: Extracting #10: cost 18 inf + 93625 400.139 * * [simplify]: Extracting #11: cost 0 inf + 107094 400.161 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) 400.162 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 400.162 * * * * [progress]: [ 957 / 5906 ] simplifiying candidate # 400.162 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 400.163 * * [simplify]: iters left: 6 (43 enodes) 400.174 * * [simplify]: iters left: 5 (203 enodes) 400.216 * * [simplify]: Extracting #0: cost 1 inf + 0 400.216 * * [simplify]: Extracting #1: cost 3 inf + 0 400.217 * * [simplify]: Extracting #2: cost 6 inf + 0 400.217 * * [simplify]: Extracting #3: cost 52 inf + 0 400.217 * * [simplify]: Extracting #4: cost 109 inf + 0 400.217 * * [simplify]: Extracting #5: cost 149 inf + 126 400.218 * * [simplify]: Extracting #6: cost 204 inf + 1517 400.219 * * [simplify]: Extracting #7: cost 196 inf + 3346 400.221 * * [simplify]: Extracting #8: cost 151 inf + 8954 400.224 * * [simplify]: Extracting #9: cost 101 inf + 25074 400.236 * * [simplify]: Extracting #10: cost 31 inf + 59338 400.250 * * [simplify]: Extracting #11: cost 6 inf + 78763 400.266 * * [simplify]: Extracting #12: cost 0 inf + 86313 400.283 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 400.283 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 400.283 * * * * [progress]: [ 958 / 5906 ] simplifiying candidate # 400.284 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 400.284 * * [simplify]: iters left: 6 (48 enodes) 400.297 * * [simplify]: iters left: 5 (231 enodes) 400.350 * * [simplify]: Extracting #0: cost 1 inf + 0 400.350 * * [simplify]: Extracting #1: cost 3 inf + 0 400.350 * * [simplify]: Extracting #2: cost 10 inf + 0 400.350 * * [simplify]: Extracting #3: cost 72 inf + 0 400.350 * * [simplify]: Extracting #4: cost 126 inf + 42 400.351 * * [simplify]: Extracting #5: cost 172 inf + 207 400.352 * * [simplify]: Extracting #6: cost 226 inf + 2245 400.353 * * [simplify]: Extracting #7: cost 212 inf + 6187 400.355 * * [simplify]: Extracting #8: cost 161 inf + 13908 400.360 * * [simplify]: Extracting #9: cost 96 inf + 35687 400.372 * * [simplify]: Extracting #10: cost 26 inf + 76297 400.392 * * [simplify]: Extracting #11: cost 2 inf + 101394 400.415 * * [simplify]: Extracting #12: cost 0 inf + 104204 400.434 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 400.435 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 400.435 * * * * [progress]: [ 959 / 5906 ] simplifiying candidate # 400.435 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 400.436 * * [simplify]: iters left: 6 (43 enodes) 400.447 * * [simplify]: iters left: 5 (203 enodes) 400.490 * * [simplify]: Extracting #0: cost 1 inf + 0 400.490 * * [simplify]: Extracting #1: cost 3 inf + 0 400.490 * * [simplify]: Extracting #2: cost 10 inf + 0 400.491 * * [simplify]: Extracting #3: cost 64 inf + 0 400.493 * * [simplify]: Extracting #4: cost 106 inf + 86 400.494 * * [simplify]: Extracting #5: cost 135 inf + 986 400.495 * * [simplify]: Extracting #6: cost 192 inf + 2932 400.496 * * [simplify]: Extracting #7: cost 196 inf + 3221 400.498 * * [simplify]: Extracting #8: cost 121 inf + 18786 400.504 * * [simplify]: Extracting #9: cost 67 inf + 38635 400.514 * * [simplify]: Extracting #10: cost 27 inf + 62300 400.530 * * [simplify]: Extracting #11: cost 1 inf + 82858 400.547 * * [simplify]: Extracting #12: cost 0 inf + 84243 400.564 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) 400.564 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 400.565 * * * * [progress]: [ 960 / 5906 ] simplifiying candidate # 400.565 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 400.565 * * [simplify]: iters left: 6 (48 enodes) 400.578 * * [simplify]: iters left: 5 (231 enodes) 400.630 * * [simplify]: Extracting #0: cost 1 inf + 0 400.630 * * [simplify]: Extracting #1: cost 3 inf + 0 400.630 * * [simplify]: Extracting #2: cost 10 inf + 0 400.631 * * [simplify]: Extracting #3: cost 72 inf + 0 400.631 * * [simplify]: Extracting #4: cost 126 inf + 42 400.631 * * [simplify]: Extracting #5: cost 171 inf + 249 400.632 * * [simplify]: Extracting #6: cost 224 inf + 2568 400.634 * * [simplify]: Extracting #7: cost 209 inf + 7044 400.636 * * [simplify]: Extracting #8: cost 163 inf + 13615 400.640 * * [simplify]: Extracting #9: cost 96 inf + 35846 400.652 * * [simplify]: Extracting #10: cost 26 inf + 77257 400.673 * * [simplify]: Extracting #11: cost 2 inf + 102354 400.693 * * [simplify]: Extracting #12: cost 0 inf + 105164 400.713 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 400.713 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 400.713 * * * * [progress]: [ 961 / 5906 ] simplifiying candidate # 400.714 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 400.714 * * [simplify]: iters left: 6 (43 enodes) 400.726 * * [simplify]: iters left: 5 (203 enodes) 400.771 * * [simplify]: Extracting #0: cost 1 inf + 0 400.771 * * [simplify]: Extracting #1: cost 3 inf + 0 400.771 * * [simplify]: Extracting #2: cost 10 inf + 0 400.771 * * [simplify]: Extracting #3: cost 63 inf + 0 400.771 * * [simplify]: Extracting #4: cost 107 inf + 44 400.772 * * [simplify]: Extracting #5: cost 134 inf + 1228 400.773 * * [simplify]: Extracting #6: cost 192 inf + 2932 400.774 * * [simplify]: Extracting #7: cost 196 inf + 3221 400.777 * * [simplify]: Extracting #8: cost 118 inf + 19979 400.785 * * [simplify]: Extracting #9: cost 50 inf + 51077 400.801 * * [simplify]: Extracting #10: cost 8 inf + 82337 400.818 * * [simplify]: Extracting #11: cost 0 inf + 85123 400.834 * * [simplify]: Extracting #12: cost 0 inf + 84643 400.853 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 400.853 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 400.854 * * * * [progress]: [ 962 / 5906 ] simplifiying candidate # 400.854 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 400.855 * * [simplify]: iters left: 6 (51 enodes) 400.868 * * [simplify]: iters left: 5 (243 enodes) 400.926 * * [simplify]: Extracting #0: cost 1 inf + 0 400.926 * * [simplify]: Extracting #1: cost 3 inf + 0 400.927 * * [simplify]: Extracting #2: cost 6 inf + 0 400.927 * * [simplify]: Extracting #3: cost 56 inf + 0 400.927 * * [simplify]: Extracting #4: cost 130 inf + 0 400.928 * * [simplify]: Extracting #5: cost 208 inf + 0 400.929 * * [simplify]: Extracting #6: cost 270 inf + 1791 400.932 * * [simplify]: Extracting #7: cost 201 inf + 13780 400.939 * * [simplify]: Extracting #8: cost 124 inf + 37900 400.949 * * [simplify]: Extracting #9: cost 65 inf + 59860 400.967 * * [simplify]: Extracting #10: cost 7 inf + 113430 400.991 * * [simplify]: Extracting #11: cost 1 inf + 121740 401.015 * * [simplify]: Extracting #12: cost 0 inf + 123525 401.040 * * [simplify]: Extracting #13: cost 0 inf + 123485 401.064 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 401.065 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 401.065 * * * * [progress]: [ 963 / 5906 ] simplifiying candidate # 401.065 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 401.066 * * [simplify]: iters left: 6 (52 enodes) 401.080 * * [simplify]: iters left: 5 (252 enodes) 401.138 * * [simplify]: Extracting #0: cost 1 inf + 0 401.138 * * [simplify]: Extracting #1: cost 3 inf + 0 401.138 * * [simplify]: Extracting #2: cost 6 inf + 0 401.138 * * [simplify]: Extracting #3: cost 60 inf + 0 401.138 * * [simplify]: Extracting #4: cost 153 inf + 0 401.139 * * [simplify]: Extracting #5: cost 222 inf + 44 401.140 * * [simplify]: Extracting #6: cost 248 inf + 5058 401.143 * * [simplify]: Extracting #7: cost 188 inf + 15912 401.150 * * [simplify]: Extracting #8: cost 105 inf + 46059 401.161 * * [simplify]: Extracting #9: cost 50 inf + 71252 401.181 * * [simplify]: Extracting #10: cost 8 inf + 116822 401.208 * * [simplify]: Extracting #11: cost 1 inf + 125037 401.233 * * [simplify]: Extracting #12: cost 0 inf + 127182 401.257 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 401.257 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 401.259 * * * * [progress]: [ 964 / 5906 ] simplifiying candidate # 401.259 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 401.260 * * [simplify]: iters left: 6 (52 enodes) 401.274 * * [simplify]: iters left: 5 (252 enodes) 401.333 * * [simplify]: Extracting #0: cost 1 inf + 0 401.333 * * [simplify]: Extracting #1: cost 3 inf + 0 401.333 * * [simplify]: Extracting #2: cost 6 inf + 0 401.333 * * [simplify]: Extracting #3: cost 62 inf + 0 401.333 * * [simplify]: Extracting #4: cost 151 inf + 0 401.334 * * [simplify]: Extracting #5: cost 218 inf + 44 401.335 * * [simplify]: Extracting #6: cost 240 inf + 6505 401.338 * * [simplify]: Extracting #7: cost 180 inf + 18724 401.345 * * [simplify]: Extracting #8: cost 103 inf + 45140 401.356 * * [simplify]: Extracting #9: cost 49 inf + 70789 401.378 * * [simplify]: Extracting #10: cost 7 inf + 116119 401.402 * * [simplify]: Extracting #11: cost 1 inf + 122709 401.426 * * [simplify]: Extracting #12: cost 0 inf + 124854 401.451 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))))) 401.451 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 401.451 * * * * [progress]: [ 965 / 5906 ] simplifiying candidate # 401.451 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 401.452 * * [simplify]: iters left: 6 (46 enodes) 401.465 * * [simplify]: iters left: 5 (216 enodes) 401.511 * * [simplify]: Extracting #0: cost 1 inf + 0 401.511 * * [simplify]: Extracting #1: cost 3 inf + 0 401.511 * * [simplify]: Extracting #2: cost 6 inf + 0 401.511 * * [simplify]: Extracting #3: cost 54 inf + 0 401.511 * * [simplify]: Extracting #4: cost 119 inf + 0 401.512 * * [simplify]: Extracting #5: cost 165 inf + 86 401.512 * * [simplify]: Extracting #6: cost 219 inf + 1722 401.514 * * [simplify]: Extracting #7: cost 192 inf + 6076 401.517 * * [simplify]: Extracting #8: cost 130 inf + 22980 401.525 * * [simplify]: Extracting #9: cost 59 inf + 51106 401.543 * * [simplify]: Extracting #10: cost 11 inf + 90104 401.562 * * [simplify]: Extracting #11: cost 0 inf + 100433 401.583 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 401.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 401.583 * * * * [progress]: [ 966 / 5906 ] simplifiying candidate # 401.584 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 401.584 * * [simplify]: iters left: 6 (51 enodes) 401.598 * * [simplify]: iters left: 5 (244 enodes) 401.654 * * [simplify]: Extracting #0: cost 1 inf + 0 401.655 * * [simplify]: Extracting #1: cost 3 inf + 0 401.655 * * [simplify]: Extracting #2: cost 10 inf + 0 401.655 * * [simplify]: Extracting #3: cost 74 inf + 0 401.655 * * [simplify]: Extracting #4: cost 137 inf + 1 401.655 * * [simplify]: Extracting #5: cost 187 inf + 249 401.656 * * [simplify]: Extracting #6: cost 238 inf + 2294 401.658 * * [simplify]: Extracting #7: cost 187 inf + 11694 401.663 * * [simplify]: Extracting #8: cost 137 inf + 29341 401.670 * * [simplify]: Extracting #9: cost 92 inf + 46234 401.679 * * [simplify]: Extracting #10: cost 55 inf + 61509 401.694 * * [simplify]: Extracting #11: cost 17 inf + 93859 401.719 * * [simplify]: Extracting #12: cost 1 inf + 112619 401.741 * * [simplify]: Extracting #13: cost 0 inf + 114204 401.764 * * [simplify]: Extracting #14: cost 0 inf + 114164 401.787 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))))) 401.787 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 401.787 * * * * [progress]: [ 967 / 5906 ] simplifiying candidate # 401.788 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 401.788 * * [simplify]: iters left: 6 (46 enodes) 401.799 * * [simplify]: iters left: 5 (216 enodes) 401.846 * * [simplify]: Extracting #0: cost 1 inf + 0 401.846 * * [simplify]: Extracting #1: cost 3 inf + 0 401.846 * * [simplify]: Extracting #2: cost 10 inf + 0 401.846 * * [simplify]: Extracting #3: cost 66 inf + 0 401.846 * * [simplify]: Extracting #4: cost 117 inf + 44 401.847 * * [simplify]: Extracting #5: cost 155 inf + 618 401.847 * * [simplify]: Extracting #6: cost 208 inf + 2855 401.849 * * [simplify]: Extracting #7: cost 181 inf + 6727 401.853 * * [simplify]: Extracting #8: cost 105 inf + 31741 401.862 * * [simplify]: Extracting #9: cost 54 inf + 53077 401.872 * * [simplify]: Extracting #10: cost 28 inf + 66449 401.891 * * [simplify]: Extracting #11: cost 2 inf + 93473 401.910 * * [simplify]: Extracting #12: cost 0 inf + 97123 401.931 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 401.931 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 401.932 * * * * [progress]: [ 968 / 5906 ] simplifiying candidate # 401.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 401.932 * * [simplify]: iters left: 6 (51 enodes) 401.945 * * [simplify]: iters left: 5 (244 enodes) 402.001 * * [simplify]: Extracting #0: cost 1 inf + 0 402.001 * * [simplify]: Extracting #1: cost 3 inf + 0 402.001 * * [simplify]: Extracting #2: cost 10 inf + 0 402.001 * * [simplify]: Extracting #3: cost 74 inf + 0 402.002 * * [simplify]: Extracting #4: cost 137 inf + 1 402.002 * * [simplify]: Extracting #5: cost 188 inf + 207 402.003 * * [simplify]: Extracting #6: cost 239 inf + 2454 402.005 * * [simplify]: Extracting #7: cost 183 inf + 13025 402.010 * * [simplify]: Extracting #8: cost 136 inf + 29945 402.017 * * [simplify]: Extracting #9: cost 89 inf + 49109 402.027 * * [simplify]: Extracting #10: cost 49 inf + 66299 402.044 * * [simplify]: Extracting #11: cost 9 inf + 103219 402.069 * * [simplify]: Extracting #12: cost 0 inf + 115564 402.092 * * [simplify]: Extracting #13: cost 0 inf + 115164 402.115 * * [simplify]: Extracting #14: cost 0 inf + 115124 402.138 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) 402.138 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 402.139 * * * * [progress]: [ 969 / 5906 ] simplifiying candidate # 402.139 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 402.139 * * [simplify]: iters left: 6 (46 enodes) 402.152 * * [simplify]: iters left: 5 (216 enodes) 402.200 * * [simplify]: Extracting #0: cost 1 inf + 0 402.200 * * [simplify]: Extracting #1: cost 3 inf + 0 402.200 * * [simplify]: Extracting #2: cost 10 inf + 0 402.200 * * [simplify]: Extracting #3: cost 65 inf + 0 402.200 * * [simplify]: Extracting #4: cost 117 inf + 44 402.201 * * [simplify]: Extracting #5: cost 152 inf + 904 402.202 * * [simplify]: Extracting #6: cost 208 inf + 2976 402.203 * * [simplify]: Extracting #7: cost 187 inf + 6118 402.207 * * [simplify]: Extracting #8: cost 115 inf + 27136 402.216 * * [simplify]: Extracting #9: cost 47 inf + 58082 402.233 * * [simplify]: Extracting #10: cost 4 inf + 92649 402.257 * * [simplify]: Extracting #11: cost 0 inf + 96643 402.276 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) 402.276 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 402.276 * * * * [progress]: [ 970 / 5906 ] simplifiying candidate # 402.277 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 402.277 * * [simplify]: iters left: 6 (52 enodes) 402.290 * * [simplify]: iters left: 5 (255 enodes) 402.350 * * [simplify]: Extracting #0: cost 1 inf + 0 402.351 * * [simplify]: Extracting #1: cost 3 inf + 0 402.351 * * [simplify]: Extracting #2: cost 6 inf + 0 402.351 * * [simplify]: Extracting #3: cost 56 inf + 0 402.351 * * [simplify]: Extracting #4: cost 130 inf + 0 402.351 * * [simplify]: Extracting #5: cost 210 inf + 0 402.352 * * [simplify]: Extracting #6: cost 300 inf + 1224 402.354 * * [simplify]: Extracting #7: cost 256 inf + 10017 402.358 * * [simplify]: Extracting #8: cost 165 inf + 29693 402.365 * * [simplify]: Extracting #9: cost 106 inf + 47516 402.377 * * [simplify]: Extracting #10: cost 56 inf + 70933 402.397 * * [simplify]: Extracting #11: cost 14 inf + 114080 402.424 * * [simplify]: Extracting #12: cost 1 inf + 130765 402.449 * * [simplify]: Extracting #13: cost 0 inf + 132870 402.475 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 402.476 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 402.476 * * * * [progress]: [ 971 / 5906 ] simplifiying candidate # 402.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 402.477 * * [simplify]: iters left: 6 (53 enodes) 402.491 * * [simplify]: iters left: 5 (264 enodes) 402.555 * * [simplify]: Extracting #0: cost 1 inf + 0 402.556 * * [simplify]: Extracting #1: cost 3 inf + 0 402.556 * * [simplify]: Extracting #2: cost 6 inf + 0 402.556 * * [simplify]: Extracting #3: cost 60 inf + 0 402.556 * * [simplify]: Extracting #4: cost 153 inf + 0 402.557 * * [simplify]: Extracting #5: cost 223 inf + 85 402.558 * * [simplify]: Extracting #6: cost 281 inf + 4806 402.561 * * [simplify]: Extracting #7: cost 237 inf + 14542 402.567 * * [simplify]: Extracting #8: cost 152 inf + 36394 402.586 * * [simplify]: Extracting #9: cost 34 inf + 116386 402.613 * * [simplify]: Extracting #10: cost 2 inf + 132500 402.639 * * [simplify]: Extracting #11: cost 0 inf + 135367 402.666 * [simplify]: Simplified to (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 402.666 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 402.667 * * * * [progress]: [ 972 / 5906 ] simplifiying candidate # 402.667 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 402.667 * * [simplify]: iters left: 6 (53 enodes) 402.681 * * [simplify]: iters left: 5 (264 enodes) 402.745 * * [simplify]: Extracting #0: cost 1 inf + 0 402.745 * * [simplify]: Extracting #1: cost 3 inf + 0 402.745 * * [simplify]: Extracting #2: cost 6 inf + 0 402.745 * * [simplify]: Extracting #3: cost 62 inf + 0 402.745 * * [simplify]: Extracting #4: cost 151 inf + 0 402.746 * * [simplify]: Extracting #5: cost 220 inf + 44 402.747 * * [simplify]: Extracting #6: cost 280 inf + 3961 402.750 * * [simplify]: Extracting #7: cost 240 inf + 13047 402.755 * * [simplify]: Extracting #8: cost 150 inf + 34937 402.770 * * [simplify]: Extracting #9: cost 68 inf + 67504 402.791 * * [simplify]: Extracting #10: cost 9 inf + 120334 402.817 * * [simplify]: Extracting #11: cost 0 inf + 132879 402.843 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 402.843 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 402.843 * * * * [progress]: [ 973 / 5906 ] simplifiying candidate # 402.844 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 402.844 * * [simplify]: iters left: 6 (47 enodes) 402.858 * * [simplify]: iters left: 5 (228 enodes) 402.912 * * [simplify]: Extracting #0: cost 1 inf + 0 402.912 * * [simplify]: Extracting #1: cost 3 inf + 0 402.912 * * [simplify]: Extracting #2: cost 6 inf + 0 402.912 * * [simplify]: Extracting #3: cost 54 inf + 0 402.912 * * [simplify]: Extracting #4: cost 119 inf + 0 402.913 * * [simplify]: Extracting #5: cost 168 inf + 44 402.914 * * [simplify]: Extracting #6: cost 245 inf + 1400 402.915 * * [simplify]: Extracting #7: cost 216 inf + 6483 402.918 * * [simplify]: Extracting #8: cost 167 inf + 15141 402.923 * * [simplify]: Extracting #9: cost 125 inf + 27655 402.932 * * [simplify]: Extracting #10: cost 60 inf + 54621 402.952 * * [simplify]: Extracting #11: cost 6 inf + 98468 402.972 * * [simplify]: Extracting #12: cost 1 inf + 104473 402.994 * * [simplify]: Extracting #13: cost 0 inf + 106298 403.015 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 403.015 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 403.016 * * * * [progress]: [ 974 / 5906 ] simplifiying candidate # 403.016 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 403.017 * * [simplify]: iters left: 6 (52 enodes) 403.030 * * [simplify]: iters left: 5 (256 enodes) 403.089 * * [simplify]: Extracting #0: cost 1 inf + 0 403.089 * * [simplify]: Extracting #1: cost 3 inf + 0 403.089 * * [simplify]: Extracting #2: cost 10 inf + 0 403.089 * * [simplify]: Extracting #3: cost 74 inf + 0 403.089 * * [simplify]: Extracting #4: cost 136 inf + 42 403.090 * * [simplify]: Extracting #5: cost 189 inf + 248 403.091 * * [simplify]: Extracting #6: cost 265 inf + 2734 403.093 * * [simplify]: Extracting #7: cost 226 inf + 12424 403.096 * * [simplify]: Extracting #8: cost 171 inf + 22913 403.102 * * [simplify]: Extracting #9: cost 123 inf + 36524 403.115 * * [simplify]: Extracting #10: cost 63 inf + 65003 403.135 * * [simplify]: Extracting #11: cost 7 inf + 117974 403.161 * * [simplify]: Extracting #12: cost 0 inf + 125829 403.187 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 403.187 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 403.188 * * * * [progress]: [ 975 / 5906 ] simplifiying candidate # 403.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 403.189 * * [simplify]: iters left: 6 (47 enodes) 403.201 * * [simplify]: iters left: 5 (228 enodes) 403.257 * * [simplify]: Extracting #0: cost 1 inf + 0 403.257 * * [simplify]: Extracting #1: cost 3 inf + 0 403.257 * * [simplify]: Extracting #2: cost 10 inf + 0 403.257 * * [simplify]: Extracting #3: cost 66 inf + 0 403.257 * * [simplify]: Extracting #4: cost 117 inf + 44 403.258 * * [simplify]: Extracting #5: cost 152 inf + 1348 403.258 * * [simplify]: Extracting #6: cost 235 inf + 2974 403.260 * * [simplify]: Extracting #7: cost 221 inf + 5831 403.263 * * [simplify]: Extracting #8: cost 156 inf + 18683 403.270 * * [simplify]: Extracting #9: cost 102 inf + 40304 403.281 * * [simplify]: Extracting #10: cost 37 inf + 68183 403.300 * * [simplify]: Extracting #11: cost 7 inf + 94493 403.320 * * [simplify]: Extracting #12: cost 1 inf + 101723 403.341 * * [simplify]: Extracting #13: cost 0 inf + 103428 403.361 * * [simplify]: Extracting #14: cost 0 inf + 103348 403.382 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 403.382 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 403.383 * * * * [progress]: [ 976 / 5906 ] simplifiying candidate # 403.383 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 403.383 * * [simplify]: iters left: 6 (52 enodes) 403.399 * * [simplify]: iters left: 5 (256 enodes) 403.457 * * [simplify]: Extracting #0: cost 1 inf + 0 403.457 * * [simplify]: Extracting #1: cost 3 inf + 0 403.457 * * [simplify]: Extracting #2: cost 10 inf + 0 403.458 * * [simplify]: Extracting #3: cost 74 inf + 0 403.458 * * [simplify]: Extracting #4: cost 136 inf + 42 403.458 * * [simplify]: Extracting #5: cost 189 inf + 248 403.459 * * [simplify]: Extracting #6: cost 270 inf + 1725 403.461 * * [simplify]: Extracting #7: cost 231 inf + 11044 403.467 * * [simplify]: Extracting #8: cost 172 inf + 22792 403.472 * * [simplify]: Extracting #9: cost 123 inf + 36684 403.483 * * [simplify]: Extracting #10: cost 64 inf + 64999 403.504 * * [simplify]: Extracting #11: cost 7 inf + 118934 403.530 * * [simplify]: Extracting #12: cost 0 inf + 126789 403.557 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 403.557 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 403.557 * * * * [progress]: [ 977 / 5906 ] simplifiying candidate # 403.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 403.558 * * [simplify]: iters left: 6 (47 enodes) 403.574 * * [simplify]: iters left: 5 (228 enodes) 403.623 * * [simplify]: Extracting #0: cost 1 inf + 0 403.623 * * [simplify]: Extracting #1: cost 3 inf + 0 403.623 * * [simplify]: Extracting #2: cost 10 inf + 0 403.624 * * [simplify]: Extracting #3: cost 65 inf + 0 403.624 * * [simplify]: Extracting #4: cost 116 inf + 86 403.624 * * [simplify]: Extracting #5: cost 149 inf + 1714 403.625 * * [simplify]: Extracting #6: cost 235 inf + 2934 403.627 * * [simplify]: Extracting #7: cost 219 inf + 6074 403.630 * * [simplify]: Extracting #8: cost 150 inf + 20900 403.637 * * [simplify]: Extracting #9: cost 100 inf + 41494 403.651 * * [simplify]: Extracting #10: cost 37 inf + 68263 403.667 * * [simplify]: Extracting #11: cost 7 inf + 94733 403.687 * * [simplify]: Extracting #12: cost 1 inf + 101963 403.708 * * [simplify]: Extracting #13: cost 0 inf + 103668 403.729 * * [simplify]: Extracting #14: cost 0 inf + 103588 403.751 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 403.751 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 403.752 * * * * [progress]: [ 978 / 5906 ] simplifiying candidate # 403.752 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 403.752 * * [simplify]: iters left: 6 (48 enodes) 403.765 * * [simplify]: iters left: 5 (227 enodes) 403.817 * * [simplify]: Extracting #0: cost 1 inf + 0 403.817 * * [simplify]: Extracting #1: cost 3 inf + 0 403.817 * * [simplify]: Extracting #2: cost 6 inf + 0 403.817 * * [simplify]: Extracting #3: cost 48 inf + 0 403.817 * * [simplify]: Extracting #4: cost 112 inf + 0 403.818 * * [simplify]: Extracting #5: cost 180 inf + 0 403.818 * * [simplify]: Extracting #6: cost 245 inf + 669 403.822 * * [simplify]: Extracting #7: cost 199 inf + 11058 403.826 * * [simplify]: Extracting #8: cost 138 inf + 20462 403.831 * * [simplify]: Extracting #9: cost 84 inf + 40196 403.842 * * [simplify]: Extracting #10: cost 37 inf + 65492 403.860 * * [simplify]: Extracting #11: cost 5 inf + 99711 403.882 * * [simplify]: Extracting #12: cost 0 inf + 106116 403.903 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 403.903 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 403.904 * * * * [progress]: [ 979 / 5906 ] simplifiying candidate # 403.904 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 403.905 * * [simplify]: iters left: 6 (49 enodes) 403.920 * * [simplify]: iters left: 5 (236 enodes) 403.972 * * [simplify]: Extracting #0: cost 1 inf + 0 403.972 * * [simplify]: Extracting #1: cost 3 inf + 0 403.973 * * [simplify]: Extracting #2: cost 6 inf + 0 403.973 * * [simplify]: Extracting #3: cost 52 inf + 0 403.973 * * [simplify]: Extracting #4: cost 135 inf + 0 403.973 * * [simplify]: Extracting #5: cost 193 inf + 85 403.975 * * [simplify]: Extracting #6: cost 218 inf + 6498 403.977 * * [simplify]: Extracting #7: cost 179 inf + 14731 403.981 * * [simplify]: Extracting #8: cost 113 inf + 29940 403.993 * * [simplify]: Extracting #9: cost 52 inf + 58275 404.009 * * [simplify]: Extracting #10: cost 12 inf + 95195 404.029 * * [simplify]: Extracting #11: cost 0 inf + 108693 404.050 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 404.050 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 404.051 * * * * [progress]: [ 980 / 5906 ] simplifiying candidate # 404.051 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 404.051 * * [simplify]: iters left: 6 (49 enodes) 404.064 * * [simplify]: iters left: 5 (236 enodes) 404.117 * * [simplify]: Extracting #0: cost 1 inf + 0 404.118 * * [simplify]: Extracting #1: cost 3 inf + 0 404.118 * * [simplify]: Extracting #2: cost 6 inf + 0 404.118 * * [simplify]: Extracting #3: cost 54 inf + 0 404.118 * * [simplify]: Extracting #4: cost 133 inf + 0 404.118 * * [simplify]: Extracting #5: cost 188 inf + 166 404.120 * * [simplify]: Extracting #6: cost 218 inf + 5448 404.122 * * [simplify]: Extracting #7: cost 180 inf + 13741 404.126 * * [simplify]: Extracting #8: cost 115 inf + 27360 404.134 * * [simplify]: Extracting #9: cost 58 inf + 52136 404.149 * * [simplify]: Extracting #10: cost 17 inf + 87161 404.170 * * [simplify]: Extracting #11: cost 0 inf + 105125 404.191 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 404.191 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 404.191 * * * * [progress]: [ 981 / 5906 ] simplifiying candidate # 404.192 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 404.192 * * [simplify]: iters left: 6 (43 enodes) 404.205 * * [simplify]: iters left: 5 (199 enodes) 404.249 * * [simplify]: Extracting #0: cost 1 inf + 0 404.249 * * [simplify]: Extracting #1: cost 3 inf + 0 404.249 * * [simplify]: Extracting #2: cost 6 inf + 0 404.249 * * [simplify]: Extracting #3: cost 46 inf + 0 404.250 * * [simplify]: Extracting #4: cost 101 inf + 0 404.250 * * [simplify]: Extracting #5: cost 136 inf + 167 404.251 * * [simplify]: Extracting #6: cost 188 inf + 1801 404.252 * * [simplify]: Extracting #7: cost 172 inf + 4859 404.254 * * [simplify]: Extracting #8: cost 119 inf + 15581 404.260 * * [simplify]: Extracting #9: cost 68 inf + 33794 404.272 * * [simplify]: Extracting #10: cost 12 inf + 72694 404.289 * * [simplify]: Extracting #11: cost 0 inf + 84384 404.305 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 404.305 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 404.306 * * * * [progress]: [ 982 / 5906 ] simplifiying candidate # 404.306 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 404.306 * * [simplify]: iters left: 6 (48 enodes) 404.319 * * [simplify]: iters left: 5 (227 enodes) 404.369 * * [simplify]: Extracting #0: cost 1 inf + 0 404.369 * * [simplify]: Extracting #1: cost 3 inf + 0 404.369 * * [simplify]: Extracting #2: cost 10 inf + 0 404.369 * * [simplify]: Extracting #3: cost 62 inf + 0 404.370 * * [simplify]: Extracting #4: cost 115 inf + 42 404.370 * * [simplify]: Extracting #5: cost 157 inf + 207 404.371 * * [simplify]: Extracting #6: cost 209 inf + 2248 404.372 * * [simplify]: Extracting #7: cost 179 inf + 8673 404.375 * * [simplify]: Extracting #8: cost 112 inf + 22888 404.383 * * [simplify]: Extracting #9: cost 53 inf + 49986 404.397 * * [simplify]: Extracting #10: cost 9 inf + 87796 404.419 * * [simplify]: Extracting #11: cost 0 inf + 98560 404.438 * * [simplify]: Extracting #12: cost 0 inf + 98440 404.457 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 404.457 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 404.458 * * * * [progress]: [ 983 / 5906 ] simplifiying candidate # 404.458 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 404.458 * * [simplify]: iters left: 6 (43 enodes) 404.469 * * [simplify]: iters left: 5 (199 enodes) 404.514 * * [simplify]: Extracting #0: cost 1 inf + 0 404.514 * * [simplify]: Extracting #1: cost 3 inf + 0 404.514 * * [simplify]: Extracting #2: cost 10 inf + 0 404.514 * * [simplify]: Extracting #3: cost 54 inf + 0 404.514 * * [simplify]: Extracting #4: cost 95 inf + 86 404.514 * * [simplify]: Extracting #5: cost 117 inf + 1432 404.515 * * [simplify]: Extracting #6: cost 174 inf + 2976 404.517 * * [simplify]: Extracting #7: cost 165 inf + 5221 404.519 * * [simplify]: Extracting #8: cost 112 inf + 16281 404.525 * * [simplify]: Extracting #9: cost 49 inf + 40185 404.536 * * [simplify]: Extracting #10: cost 19 inf + 60725 404.551 * * [simplify]: Extracting #11: cost 3 inf + 74084 404.567 * * [simplify]: Extracting #12: cost 0 inf + 78919 404.583 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) 404.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 404.584 * * * * [progress]: [ 984 / 5906 ] simplifiying candidate # 404.584 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 404.585 * * [simplify]: iters left: 6 (48 enodes) 404.600 * * [simplify]: iters left: 5 (227 enodes) 404.650 * * [simplify]: Extracting #0: cost 1 inf + 0 404.650 * * [simplify]: Extracting #1: cost 3 inf + 0 404.651 * * [simplify]: Extracting #2: cost 10 inf + 0 404.651 * * [simplify]: Extracting #3: cost 62 inf + 0 404.651 * * [simplify]: Extracting #4: cost 115 inf + 42 404.651 * * [simplify]: Extracting #5: cost 156 inf + 249 404.652 * * [simplify]: Extracting #6: cost 210 inf + 2046 404.654 * * [simplify]: Extracting #7: cost 182 inf + 8518 404.657 * * [simplify]: Extracting #8: cost 112 inf + 23059 404.665 * * [simplify]: Extracting #9: cost 53 inf + 50146 404.682 * * [simplify]: Extracting #10: cost 9 inf + 88516 404.702 * * [simplify]: Extracting #11: cost 0 inf + 99360 404.721 * * [simplify]: Extracting #12: cost 0 inf + 99240 404.740 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 404.740 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 404.740 * * * * [progress]: [ 985 / 5906 ] simplifiying candidate # 404.741 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 404.741 * * [simplify]: iters left: 6 (43 enodes) 404.753 * * [simplify]: iters left: 5 (199 enodes) 404.802 * * [simplify]: Extracting #0: cost 1 inf + 0 404.802 * * [simplify]: Extracting #1: cost 3 inf + 0 404.802 * * [simplify]: Extracting #2: cost 10 inf + 0 404.802 * * [simplify]: Extracting #3: cost 53 inf + 0 404.802 * * [simplify]: Extracting #4: cost 96 inf + 44 404.803 * * [simplify]: Extracting #5: cost 122 inf + 1023 404.804 * * [simplify]: Extracting #6: cost 175 inf + 2895 404.805 * * [simplify]: Extracting #7: cost 169 inf + 4814 404.807 * * [simplify]: Extracting #8: cost 113 inf + 15376 404.813 * * [simplify]: Extracting #9: cost 61 inf + 34539 404.821 * * [simplify]: Extracting #10: cost 29 inf + 51770 404.834 * * [simplify]: Extracting #11: cost 5 inf + 72354 404.850 * * [simplify]: Extracting #12: cost 0 inf + 79239 404.867 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) 404.867 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 404.868 * * * * [progress]: [ 986 / 5906 ] simplifiying candidate # 404.868 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 404.868 * * [simplify]: iters left: 6 (52 enodes) 404.882 * * [simplify]: iters left: 5 (250 enodes) 404.939 * * [simplify]: Extracting #0: cost 1 inf + 0 404.939 * * [simplify]: Extracting #1: cost 3 inf + 0 404.939 * * [simplify]: Extracting #2: cost 6 inf + 0 404.939 * * [simplify]: Extracting #3: cost 53 inf + 0 404.940 * * [simplify]: Extracting #4: cost 118 inf + 0 404.940 * * [simplify]: Extracting #5: cost 183 inf + 0 404.941 * * [simplify]: Extracting #6: cost 263 inf + 131 404.942 * * [simplify]: Extracting #7: cost 209 inf + 9248 404.947 * * [simplify]: Extracting #8: cost 115 inf + 32915 404.957 * * [simplify]: Extracting #9: cost 51 inf + 59575 404.975 * * [simplify]: Extracting #10: cost 5 inf + 106323 404.997 * * [simplify]: Extracting #11: cost 1 inf + 110983 405.019 * * [simplify]: Extracting #12: cost 0 inf + 112808 405.042 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) 405.043 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 405.043 * * * * [progress]: [ 987 / 5906 ] simplifiying candidate # 405.043 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 405.044 * * [simplify]: iters left: 6 (53 enodes) 405.058 * * [simplify]: iters left: 5 (259 enodes) 405.118 * * [simplify]: Extracting #0: cost 1 inf + 0 405.118 * * [simplify]: Extracting #1: cost 3 inf + 0 405.118 * * [simplify]: Extracting #2: cost 6 inf + 0 405.118 * * [simplify]: Extracting #3: cost 56 inf + 0 405.119 * * [simplify]: Extracting #4: cost 140 inf + 0 405.119 * * [simplify]: Extracting #5: cost 196 inf + 44 405.120 * * [simplify]: Extracting #6: cost 238 inf + 4084 405.122 * * [simplify]: Extracting #7: cost 202 inf + 11918 405.127 * * [simplify]: Extracting #8: cost 136 inf + 28906 405.135 * * [simplify]: Extracting #9: cost 87 inf + 47800 405.145 * * [simplify]: Extracting #10: cost 48 inf + 64040 405.162 * * [simplify]: Extracting #11: cost 8 inf + 102160 405.184 * * [simplify]: Extracting #12: cost 0 inf + 113400 405.208 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 405.208 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 405.209 * * * * [progress]: [ 988 / 5906 ] simplifiying candidate # 405.209 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 405.209 * * [simplify]: iters left: 6 (53 enodes) 405.223 * * [simplify]: iters left: 5 (259 enodes) 405.282 * * [simplify]: Extracting #0: cost 1 inf + 0 405.282 * * [simplify]: Extracting #1: cost 3 inf + 0 405.282 * * [simplify]: Extracting #2: cost 6 inf + 0 405.282 * * [simplify]: Extracting #3: cost 58 inf + 0 405.282 * * [simplify]: Extracting #4: cost 138 inf + 0 405.283 * * [simplify]: Extracting #5: cost 192 inf + 44 405.284 * * [simplify]: Extracting #6: cost 228 inf + 5253 405.286 * * [simplify]: Extracting #7: cost 192 inf + 13831 405.291 * * [simplify]: Extracting #8: cost 135 inf + 27948 405.299 * * [simplify]: Extracting #9: cost 82 inf + 48588 405.309 * * [simplify]: Extracting #10: cost 50 inf + 60102 405.321 * * [simplify]: Extracting #11: cost 33 inf + 71687 405.338 * * [simplify]: Extracting #12: cost 7 inf + 99377 405.362 * * [simplify]: Extracting #13: cost 0 inf + 108352 405.384 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 405.384 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 405.385 * * * * [progress]: [ 989 / 5906 ] simplifiying candidate # 405.385 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 405.385 * * [simplify]: iters left: 6 (47 enodes) 405.399 * * [simplify]: iters left: 5 (222 enodes) 405.448 * * [simplify]: Extracting #0: cost 1 inf + 0 405.448 * * [simplify]: Extracting #1: cost 3 inf + 0 405.448 * * [simplify]: Extracting #2: cost 6 inf + 0 405.448 * * [simplify]: Extracting #3: cost 50 inf + 0 405.448 * * [simplify]: Extracting #4: cost 107 inf + 0 405.449 * * [simplify]: Extracting #5: cost 141 inf + 44 405.449 * * [simplify]: Extracting #6: cost 203 inf + 1236 405.451 * * [simplify]: Extracting #7: cost 181 inf + 5307 405.453 * * [simplify]: Extracting #8: cost 152 inf + 9204 405.457 * * [simplify]: Extracting #9: cost 102 inf + 24812 405.464 * * [simplify]: Extracting #10: cost 49 inf + 46711 405.475 * * [simplify]: Extracting #11: cost 29 inf + 58088 405.489 * * [simplify]: Extracting #12: cost 8 inf + 79613 405.506 * * [simplify]: Extracting #13: cost 0 inf + 89973 405.524 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 405.524 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 405.525 * * * * [progress]: [ 990 / 5906 ] simplifiying candidate # 405.525 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 405.525 * * [simplify]: iters left: 6 (52 enodes) 405.541 * * [simplify]: iters left: 5 (250 enodes) 405.594 * * [simplify]: Extracting #0: cost 1 inf + 0 405.595 * * [simplify]: Extracting #1: cost 3 inf + 0 405.595 * * [simplify]: Extracting #2: cost 10 inf + 0 405.595 * * [simplify]: Extracting #3: cost 66 inf + 0 405.595 * * [simplify]: Extracting #4: cost 126 inf + 1 405.595 * * [simplify]: Extracting #5: cost 164 inf + 207 405.596 * * [simplify]: Extracting #6: cost 228 inf + 1965 405.598 * * [simplify]: Extracting #7: cost 196 inf + 8784 405.604 * * [simplify]: Extracting #8: cost 137 inf + 20263 405.610 * * [simplify]: Extracting #9: cost 77 inf + 44968 405.626 * * [simplify]: Extracting #10: cost 13 inf + 94795 405.647 * * [simplify]: Extracting #11: cost 5 inf + 103631 405.668 * * [simplify]: Extracting #12: cost 0 inf + 108112 405.689 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 405.689 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 405.690 * * * * [progress]: [ 991 / 5906 ] simplifiying candidate # 405.690 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 405.690 * * [simplify]: iters left: 6 (47 enodes) 405.705 * * [simplify]: iters left: 5 (223 enodes) 405.752 * * [simplify]: Extracting #0: cost 1 inf + 0 405.752 * * [simplify]: Extracting #1: cost 3 inf + 0 405.752 * * [simplify]: Extracting #2: cost 10 inf + 0 405.752 * * [simplify]: Extracting #3: cost 57 inf + 0 405.752 * * [simplify]: Extracting #4: cost 105 inf + 44 405.753 * * [simplify]: Extracting #5: cost 127 inf + 1346 405.754 * * [simplify]: Extracting #6: cost 191 inf + 3016 405.755 * * [simplify]: Extracting #7: cost 182 inf + 5142 405.757 * * [simplify]: Extracting #8: cost 145 inf + 11377 405.762 * * [simplify]: Extracting #9: cost 97 inf + 29004 405.770 * * [simplify]: Extracting #10: cost 39 inf + 52507 405.786 * * [simplify]: Extracting #11: cost 5 inf + 81184 405.803 * * [simplify]: Extracting #12: cost 0 inf + 88189 405.821 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) 405.821 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 405.821 * * * * [progress]: [ 992 / 5906 ] simplifiying candidate # 405.822 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 405.822 * * [simplify]: iters left: 6 (52 enodes) 405.836 * * [simplify]: iters left: 5 (250 enodes) 405.891 * * [simplify]: Extracting #0: cost 1 inf + 0 405.891 * * [simplify]: Extracting #1: cost 3 inf + 0 405.891 * * [simplify]: Extracting #2: cost 10 inf + 0 405.891 * * [simplify]: Extracting #3: cost 66 inf + 0 405.891 * * [simplify]: Extracting #4: cost 126 inf + 1 405.892 * * [simplify]: Extracting #5: cost 164 inf + 207 405.893 * * [simplify]: Extracting #6: cost 226 inf + 2246 405.894 * * [simplify]: Extracting #7: cost 196 inf + 8734 405.897 * * [simplify]: Extracting #8: cost 137 inf + 20605 405.904 * * [simplify]: Extracting #9: cost 77 inf + 44968 405.920 * * [simplify]: Extracting #10: cost 14 inf + 94090 405.940 * * [simplify]: Extracting #11: cost 6 inf + 103427 405.964 * * [simplify]: Extracting #12: cost 0 inf + 108912 405.985 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 405.985 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 405.986 * * * * [progress]: [ 993 / 5906 ] simplifiying candidate # 405.986 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 405.986 * * [simplify]: iters left: 6 (47 enodes) 405.999 * * [simplify]: iters left: 5 (223 enodes) 406.048 * * [simplify]: Extracting #0: cost 1 inf + 0 406.048 * * [simplify]: Extracting #1: cost 3 inf + 0 406.048 * * [simplify]: Extracting #2: cost 10 inf + 0 406.048 * * [simplify]: Extracting #3: cost 56 inf + 0 406.049 * * [simplify]: Extracting #4: cost 104 inf + 86 406.049 * * [simplify]: Extracting #5: cost 121 inf + 1918 406.050 * * [simplify]: Extracting #6: cost 191 inf + 2976 406.051 * * [simplify]: Extracting #7: cost 183 inf + 5021 406.053 * * [simplify]: Extracting #8: cost 146 inf + 11256 406.058 * * [simplify]: Extracting #9: cost 98 inf + 29020 406.067 * * [simplify]: Extracting #10: cost 39 inf + 52827 406.080 * * [simplify]: Extracting #11: cost 5 inf + 81504 406.097 * * [simplify]: Extracting #12: cost 0 inf + 88509 406.115 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) 406.115 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 406.115 * * * * [progress]: [ 994 / 5906 ] simplifiying candidate # 406.116 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 406.116 * * [simplify]: iters left: 6 (52 enodes) 406.132 * * [simplify]: iters left: 5 (254 enodes) 406.188 * * [simplify]: Extracting #0: cost 1 inf + 0 406.188 * * [simplify]: Extracting #1: cost 3 inf + 0 406.188 * * [simplify]: Extracting #2: cost 6 inf + 0 406.189 * * [simplify]: Extracting #3: cost 56 inf + 0 406.189 * * [simplify]: Extracting #4: cost 130 inf + 0 406.189 * * [simplify]: Extracting #5: cost 210 inf + 0 406.190 * * [simplify]: Extracting #6: cost 283 inf + 1436 406.192 * * [simplify]: Extracting #7: cost 223 inf + 12146 406.199 * * [simplify]: Extracting #8: cost 131 inf + 34186 406.209 * * [simplify]: Extracting #9: cost 62 inf + 61610 406.227 * * [simplify]: Extracting #10: cost 6 inf + 114706 406.250 * * [simplify]: Extracting #11: cost 1 inf + 120551 406.273 * * [simplify]: Extracting #12: cost 0 inf + 122616 406.297 * * [simplify]: Extracting #13: cost 0 inf + 122576 406.320 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 406.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 406.320 * * * * [progress]: [ 995 / 5906 ] simplifiying candidate # 406.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 406.321 * * [simplify]: iters left: 6 (53 enodes) 406.335 * * [simplify]: iters left: 5 (263 enodes) 406.397 * * [simplify]: Extracting #0: cost 1 inf + 0 406.398 * * [simplify]: Extracting #1: cost 3 inf + 0 406.398 * * [simplify]: Extracting #2: cost 6 inf + 0 406.398 * * [simplify]: Extracting #3: cost 60 inf + 0 406.398 * * [simplify]: Extracting #4: cost 153 inf + 0 406.398 * * [simplify]: Extracting #5: cost 224 inf + 44 406.400 * * [simplify]: Extracting #6: cost 253 inf + 6307 406.403 * * [simplify]: Extracting #7: cost 198 inf + 16817 406.409 * * [simplify]: Extracting #8: cost 140 inf + 36274 406.417 * * [simplify]: Extracting #9: cost 94 inf + 56520 406.429 * * [simplify]: Extracting #10: cost 48 inf + 77033 406.449 * * [simplify]: Extracting #11: cost 8 inf + 117273 406.474 * * [simplify]: Extracting #12: cost 0 inf + 126993 406.498 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 406.498 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 406.499 * * * * [progress]: [ 996 / 5906 ] simplifiying candidate # 406.499 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 406.499 * * [simplify]: iters left: 6 (53 enodes) 406.513 * * [simplify]: iters left: 5 (263 enodes) 406.572 * * [simplify]: Extracting #0: cost 1 inf + 0 406.572 * * [simplify]: Extracting #1: cost 3 inf + 0 406.572 * * [simplify]: Extracting #2: cost 6 inf + 0 406.572 * * [simplify]: Extracting #3: cost 62 inf + 0 406.573 * * [simplify]: Extracting #4: cost 151 inf + 0 406.573 * * [simplify]: Extracting #5: cost 220 inf + 44 406.574 * * [simplify]: Extracting #6: cost 252 inf + 6026 406.578 * * [simplify]: Extracting #7: cost 196 inf + 18023 406.583 * * [simplify]: Extracting #8: cost 144 inf + 34024 406.592 * * [simplify]: Extracting #9: cost 94 inf + 55969 406.613 * * [simplify]: Extracting #10: cost 11 inf + 114712 406.636 * * [simplify]: Extracting #11: cost 0 inf + 123945 406.660 * * [simplify]: Extracting #12: cost 0 inf + 123865 406.685 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 406.685 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 406.685 * * * * [progress]: [ 997 / 5906 ] simplifiying candidate # 406.685 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 406.686 * * [simplify]: iters left: 6 (47 enodes) 406.698 * * [simplify]: iters left: 5 (227 enodes) 406.747 * * [simplify]: Extracting #0: cost 1 inf + 0 406.747 * * [simplify]: Extracting #1: cost 3 inf + 0 406.747 * * [simplify]: Extracting #2: cost 6 inf + 0 406.747 * * [simplify]: Extracting #3: cost 54 inf + 0 406.747 * * [simplify]: Extracting #4: cost 119 inf + 0 406.747 * * [simplify]: Extracting #5: cost 168 inf + 44 406.748 * * [simplify]: Extracting #6: cost 231 inf + 1277 406.749 * * [simplify]: Extracting #7: cost 210 inf + 4779 406.753 * * [simplify]: Extracting #8: cost 129 inf + 23763 406.760 * * [simplify]: Extracting #9: cost 64 inf + 51221 406.775 * * [simplify]: Extracting #10: cost 10 inf + 89996 406.796 * * [simplify]: Extracting #11: cost 1 inf + 99499 406.815 * * [simplify]: Extracting #12: cost 0 inf + 101364 406.833 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 406.834 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 406.834 * * * * [progress]: [ 998 / 5906 ] simplifiying candidate # 406.834 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 406.835 * * [simplify]: iters left: 6 (52 enodes) 406.848 * * [simplify]: iters left: 5 (255 enodes) 406.904 * * [simplify]: Extracting #0: cost 1 inf + 0 406.904 * * [simplify]: Extracting #1: cost 3 inf + 0 406.904 * * [simplify]: Extracting #2: cost 10 inf + 0 406.904 * * [simplify]: Extracting #3: cost 74 inf + 0 406.904 * * [simplify]: Extracting #4: cost 137 inf + 1 406.905 * * [simplify]: Extracting #5: cost 189 inf + 248 406.906 * * [simplify]: Extracting #6: cost 250 inf + 2452 406.908 * * [simplify]: Extracting #7: cost 200 inf + 11932 406.913 * * [simplify]: Extracting #8: cost 128 inf + 33544 406.922 * * [simplify]: Extracting #9: cost 56 inf + 63095 406.940 * * [simplify]: Extracting #10: cost 9 inf + 107110 406.965 * * [simplify]: Extracting #11: cost 1 inf + 115230 406.989 * * [simplify]: Extracting #12: cost 0 inf + 117295 407.011 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 407.011 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 407.012 * * * * [progress]: [ 999 / 5906 ] simplifiying candidate # 407.012 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 407.012 * * [simplify]: iters left: 6 (47 enodes) 407.024 * * [simplify]: iters left: 5 (227 enodes) 407.072 * * [simplify]: Extracting #0: cost 1 inf + 0 407.072 * * [simplify]: Extracting #1: cost 3 inf + 0 407.073 * * [simplify]: Extracting #2: cost 10 inf + 0 407.073 * * [simplify]: Extracting #3: cost 66 inf + 0 407.073 * * [simplify]: Extracting #4: cost 117 inf + 44 407.073 * * [simplify]: Extracting #5: cost 154 inf + 1064 407.074 * * [simplify]: Extracting #6: cost 218 inf + 3016 407.076 * * [simplify]: Extracting #7: cost 203 inf + 6152 407.079 * * [simplify]: Extracting #8: cost 122 inf + 25492 407.087 * * [simplify]: Extracting #9: cost 60 inf + 50501 407.102 * * [simplify]: Extracting #10: cost 7 inf + 89359 407.122 * * [simplify]: Extracting #11: cost 1 inf + 96309 407.141 * * [simplify]: Extracting #12: cost 0 inf + 98174 407.160 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 407.160 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 407.160 * * * * [progress]: [ 1000 / 5906 ] simplifiying candidate # 407.160 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 407.161 * * [simplify]: iters left: 6 (52 enodes) 407.174 * * [simplify]: iters left: 5 (255 enodes) 407.230 * * [simplify]: Extracting #0: cost 1 inf + 0 407.230 * * [simplify]: Extracting #1: cost 3 inf + 0 407.230 * * [simplify]: Extracting #2: cost 10 inf + 0 407.230 * * [simplify]: Extracting #3: cost 74 inf + 0 407.231 * * [simplify]: Extracting #4: cost 137 inf + 1 407.231 * * [simplify]: Extracting #5: cost 189 inf + 248 407.232 * * [simplify]: Extracting #6: cost 253 inf + 1686 407.234 * * [simplify]: Extracting #7: cost 208 inf + 9664 407.239 * * [simplify]: Extracting #8: cost 128 inf + 33477 407.248 * * [simplify]: Extracting #9: cost 56 inf + 64055 407.266 * * [simplify]: Extracting #10: cost 9 inf + 108070 407.291 * * [simplify]: Extracting #11: cost 1 inf + 116190 407.315 * * [simplify]: Extracting #12: cost 0 inf + 118255 407.338 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) 407.338 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 407.338 * * * * [progress]: [ 1001 / 5906 ] simplifiying candidate # 407.338 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 407.339 * * [simplify]: iters left: 6 (47 enodes) 407.351 * * [simplify]: iters left: 5 (227 enodes) 407.400 * * [simplify]: Extracting #0: cost 1 inf + 0 407.400 * * [simplify]: Extracting #1: cost 3 inf + 0 407.400 * * [simplify]: Extracting #2: cost 10 inf + 0 407.400 * * [simplify]: Extracting #3: cost 65 inf + 0 407.400 * * [simplify]: Extracting #4: cost 117 inf + 44 407.400 * * [simplify]: Extracting #5: cost 156 inf + 740 407.401 * * [simplify]: Extracting #6: cost 221 inf + 2610 407.403 * * [simplify]: Extracting #7: cost 197 inf + 6803 407.407 * * [simplify]: Extracting #8: cost 121 inf + 25409 407.415 * * [simplify]: Extracting #9: cost 58 inf + 52109 407.429 * * [simplify]: Extracting #10: cost 7 inf + 89759 407.448 * * [simplify]: Extracting #11: cost 1 inf + 96709 407.468 * * [simplify]: Extracting #12: cost 0 inf + 98574 407.487 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 407.487 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 407.487 * * * * [progress]: [ 1002 / 5906 ] simplifiying candidate # 407.488 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 407.488 * * [simplify]: iters left: 6 (51 enodes) 407.501 * * [simplify]: iters left: 5 (244 enodes) 407.555 * * [simplify]: Extracting #0: cost 1 inf + 0 407.555 * * [simplify]: Extracting #1: cost 3 inf + 0 407.555 * * [simplify]: Extracting #2: cost 6 inf + 0 407.556 * * [simplify]: Extracting #3: cost 56 inf + 0 407.556 * * [simplify]: Extracting #4: cost 130 inf + 0 407.556 * * [simplify]: Extracting #5: cost 207 inf + 0 407.557 * * [simplify]: Extracting #6: cost 267 inf + 2126 407.559 * * [simplify]: Extracting #7: cost 188 inf + 20688 407.565 * * [simplify]: Extracting #8: cost 115 inf + 46360 407.575 * * [simplify]: Extracting #9: cost 65 inf + 59412 407.585 * * [simplify]: Extracting #10: cost 49 inf + 67940 407.606 * * [simplify]: Extracting #11: cost 6 inf + 118215 407.631 * * [simplify]: Extracting #12: cost 1 inf + 126380 407.655 * * [simplify]: Extracting #13: cost 0 inf + 128525 407.679 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 407.679 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 407.679 * * * * [progress]: [ 1003 / 5906 ] simplifiying candidate # 407.680 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 407.680 * * [simplify]: iters left: 6 (52 enodes) 407.693 * * [simplify]: iters left: 5 (253 enodes) 407.749 * * [simplify]: Extracting #0: cost 1 inf + 0 407.749 * * [simplify]: Extracting #1: cost 3 inf + 0 407.749 * * [simplify]: Extracting #2: cost 6 inf + 0 407.749 * * [simplify]: Extracting #3: cost 60 inf + 0 407.750 * * [simplify]: Extracting #4: cost 153 inf + 0 407.750 * * [simplify]: Extracting #5: cost 221 inf + 44 407.752 * * [simplify]: Extracting #6: cost 244 inf + 6308 407.754 * * [simplify]: Extracting #7: cost 190 inf + 14864 407.760 * * [simplify]: Extracting #8: cost 135 inf + 36648 407.768 * * [simplify]: Extracting #9: cost 92 inf + 54109 407.778 * * [simplify]: Extracting #10: cost 55 inf + 68247 407.793 * * [simplify]: Extracting #11: cost 35 inf + 83427 407.814 * * [simplify]: Extracting #12: cost 2 inf + 122732 407.837 * * [simplify]: Extracting #13: cost 1 inf + 124797 407.861 * * [simplify]: Extracting #14: cost 0 inf + 126942 407.886 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) 407.886 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 407.886 * * * * [progress]: [ 1004 / 5906 ] simplifiying candidate # 407.886 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 407.887 * * [simplify]: iters left: 6 (52 enodes) 407.900 * * [simplify]: iters left: 5 (253 enodes) 407.959 * * [simplify]: Extracting #0: cost 1 inf + 0 407.959 * * [simplify]: Extracting #1: cost 3 inf + 0 407.959 * * [simplify]: Extracting #2: cost 6 inf + 0 407.959 * * [simplify]: Extracting #3: cost 62 inf + 0 407.959 * * [simplify]: Extracting #4: cost 151 inf + 0 407.960 * * [simplify]: Extracting #5: cost 217 inf + 44 407.961 * * [simplify]: Extracting #6: cost 259 inf + 3151 407.963 * * [simplify]: Extracting #7: cost 188 inf + 14860 407.969 * * [simplify]: Extracting #8: cost 133 inf + 36645 407.977 * * [simplify]: Extracting #9: cost 96 inf + 52063 407.987 * * [simplify]: Extracting #10: cost 56 inf + 66934 408.005 * * [simplify]: Extracting #11: cost 11 inf + 109499 408.028 * * [simplify]: Extracting #12: cost 1 inf + 121389 408.052 * * [simplify]: Extracting #13: cost 0 inf + 123494 408.075 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 408.075 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 408.076 * * * * [progress]: [ 1005 / 5906 ] simplifiying candidate # 408.076 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 408.077 * * [simplify]: iters left: 6 (46 enodes) 408.088 * * [simplify]: iters left: 5 (217 enodes) 408.135 * * [simplify]: Extracting #0: cost 1 inf + 0 408.135 * * [simplify]: Extracting #1: cost 3 inf + 0 408.135 * * [simplify]: Extracting #2: cost 6 inf + 0 408.135 * * [simplify]: Extracting #3: cost 54 inf + 0 408.135 * * [simplify]: Extracting #4: cost 119 inf + 0 408.136 * * [simplify]: Extracting #5: cost 166 inf + 2 408.137 * * [simplify]: Extracting #6: cost 227 inf + 785 408.138 * * [simplify]: Extracting #7: cost 208 inf + 3197 408.140 * * [simplify]: Extracting #8: cost 159 inf + 13662 408.146 * * [simplify]: Extracting #9: cost 97 inf + 38923 408.155 * * [simplify]: Extracting #10: cost 43 inf + 58091 408.170 * * [simplify]: Extracting #11: cost 11 inf + 88598 408.189 * * [simplify]: Extracting #12: cost 0 inf + 101393 408.209 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) 408.209 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 408.210 * * * * [progress]: [ 1006 / 5906 ] simplifiying candidate # 408.210 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 408.211 * * [simplify]: iters left: 6 (51 enodes) 408.226 * * [simplify]: iters left: 5 (245 enodes) 408.279 * * [simplify]: Extracting #0: cost 1 inf + 0 408.279 * * [simplify]: Extracting #1: cost 3 inf + 0 408.279 * * [simplify]: Extracting #2: cost 10 inf + 0 408.279 * * [simplify]: Extracting #3: cost 74 inf + 0 408.279 * * [simplify]: Extracting #4: cost 137 inf + 1 408.280 * * [simplify]: Extracting #5: cost 186 inf + 249 408.280 * * [simplify]: Extracting #6: cost 238 inf + 2294 408.282 * * [simplify]: Extracting #7: cost 196 inf + 8911 408.289 * * [simplify]: Extracting #8: cost 126 inf + 30728 408.297 * * [simplify]: Extracting #9: cost 61 inf + 57831 408.313 * * [simplify]: Extracting #10: cost 18 inf + 96314 408.336 * * [simplify]: Extracting #11: cost 1 inf + 114819 408.360 * * [simplify]: Extracting #12: cost 0 inf + 116844 408.383 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 408.383 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 408.384 * * * * [progress]: [ 1007 / 5906 ] simplifiying candidate # 408.384 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 408.385 * * [simplify]: iters left: 6 (46 enodes) 408.398 * * [simplify]: iters left: 5 (217 enodes) 408.443 * * [simplify]: Extracting #0: cost 1 inf + 0 408.443 * * [simplify]: Extracting #1: cost 3 inf + 0 408.443 * * [simplify]: Extracting #2: cost 10 inf + 0 408.443 * * [simplify]: Extracting #3: cost 66 inf + 0 408.443 * * [simplify]: Extracting #4: cost 117 inf + 44 408.444 * * [simplify]: Extracting #5: cost 154 inf + 618 408.445 * * [simplify]: Extracting #6: cost 208 inf + 2855 408.446 * * [simplify]: Extracting #7: cost 188 inf + 5791 408.449 * * [simplify]: Extracting #8: cost 124 inf + 21840 408.457 * * [simplify]: Extracting #9: cost 61 inf + 48909 408.479 * * [simplify]: Extracting #10: cost 9 inf + 88511 408.497 * * [simplify]: Extracting #11: cost 0 inf + 96563 408.515 * * [simplify]: Extracting #12: cost 0 inf + 96443 408.534 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 408.534 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 408.534 * * * * [progress]: [ 1008 / 5906 ] simplifiying candidate # 408.534 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 408.535 * * [simplify]: iters left: 6 (51 enodes) 408.547 * * [simplify]: iters left: 5 (245 enodes) 408.601 * * [simplify]: Extracting #0: cost 1 inf + 0 408.601 * * [simplify]: Extracting #1: cost 3 inf + 0 408.601 * * [simplify]: Extracting #2: cost 10 inf + 0 408.601 * * [simplify]: Extracting #3: cost 74 inf + 0 408.601 * * [simplify]: Extracting #4: cost 137 inf + 1 408.602 * * [simplify]: Extracting #5: cost 187 inf + 207 408.603 * * [simplify]: Extracting #6: cost 240 inf + 2371 408.604 * * [simplify]: Extracting #7: cost 190 inf + 10242 408.609 * * [simplify]: Extracting #8: cost 125 inf + 30912 408.618 * * [simplify]: Extracting #9: cost 55 inf + 63295 408.636 * * [simplify]: Extracting #10: cost 18 inf + 97194 408.659 * * [simplify]: Extracting #11: cost 1 inf + 115699 408.683 * * [simplify]: Extracting #12: cost 0 inf + 117724 408.707 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 408.707 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 408.707 * * * * [progress]: [ 1009 / 5906 ] simplifiying candidate # 408.708 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 408.708 * * [simplify]: iters left: 6 (46 enodes) 408.719 * * [simplify]: iters left: 5 (217 enodes) 408.766 * * [simplify]: Extracting #0: cost 1 inf + 0 408.766 * * [simplify]: Extracting #1: cost 3 inf + 0 408.766 * * [simplify]: Extracting #2: cost 10 inf + 0 408.766 * * [simplify]: Extracting #3: cost 65 inf + 0 408.767 * * [simplify]: Extracting #4: cost 117 inf + 44 408.767 * * [simplify]: Extracting #5: cost 147 inf + 1472 408.768 * * [simplify]: Extracting #6: cost 207 inf + 3017 408.769 * * [simplify]: Extracting #7: cost 189 inf + 5749 408.773 * * [simplify]: Extracting #8: cost 122 inf + 22244 408.781 * * [simplify]: Extracting #9: cost 61 inf + 49189 408.795 * * [simplify]: Extracting #10: cost 9 inf + 88911 408.816 * * [simplify]: Extracting #11: cost 0 inf + 96963 408.834 * * [simplify]: Extracting #12: cost 0 inf + 96843 408.853 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))))) 408.853 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 408.853 * * * * [progress]: [ 1010 / 5906 ] simplifiying candidate # 408.853 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 408.854 * * [simplify]: iters left: 6 (50 enodes) 408.866 * * [simplify]: iters left: 5 (238 enodes) 408.921 * * [simplify]: Extracting #0: cost 1 inf + 0 408.921 * * [simplify]: Extracting #1: cost 3 inf + 0 408.921 * * [simplify]: Extracting #2: cost 6 inf + 0 408.921 * * [simplify]: Extracting #3: cost 57 inf + 0 408.921 * * [simplify]: Extracting #4: cost 128 inf + 0 408.922 * * [simplify]: Extracting #5: cost 195 inf + 0 408.922 * * [simplify]: Extracting #6: cost 258 inf + 4266 408.924 * * [simplify]: Extracting #7: cost 210 inf + 12601 408.928 * * [simplify]: Extracting #8: cost 130 inf + 29983 408.937 * * [simplify]: Extracting #9: cost 57 inf + 60688 408.955 * * [simplify]: Extracting #10: cost 3 inf + 109777 408.976 * * [simplify]: Extracting #11: cost 0 inf + 112772 408.999 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 408.999 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 409.000 * * * * [progress]: [ 1011 / 5906 ] simplifiying candidate # 409.000 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 409.001 * * [simplify]: iters left: 6 (51 enodes) 409.014 * * [simplify]: iters left: 5 (247 enodes) 409.070 * * [simplify]: Extracting #0: cost 1 inf + 0 409.070 * * [simplify]: Extracting #1: cost 3 inf + 0 409.070 * * [simplify]: Extracting #2: cost 6 inf + 0 409.070 * * [simplify]: Extracting #3: cost 61 inf + 0 409.070 * * [simplify]: Extracting #4: cost 151 inf + 0 409.071 * * [simplify]: Extracting #5: cost 209 inf + 44 409.072 * * [simplify]: Extracting #6: cost 244 inf + 5212 409.075 * * [simplify]: Extracting #7: cost 197 inf + 15889 409.080 * * [simplify]: Extracting #8: cost 136 inf + 30754 409.088 * * [simplify]: Extracting #9: cost 96 inf + 47661 409.097 * * [simplify]: Extracting #10: cost 59 inf + 60394 409.110 * * [simplify]: Extracting #11: cost 30 inf + 82239 409.130 * * [simplify]: Extracting #12: cost 2 inf + 114099 409.153 * * [simplify]: Extracting #13: cost 0 inf + 116989 409.174 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) 409.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 409.175 * * * * [progress]: [ 1012 / 5906 ] simplifiying candidate # 409.175 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 409.175 * * [simplify]: iters left: 6 (51 enodes) 409.188 * * [simplify]: iters left: 5 (247 enodes) 409.243 * * [simplify]: Extracting #0: cost 1 inf + 0 409.243 * * [simplify]: Extracting #1: cost 3 inf + 0 409.243 * * [simplify]: Extracting #2: cost 6 inf + 0 409.243 * * [simplify]: Extracting #3: cost 63 inf + 0 409.244 * * [simplify]: Extracting #4: cost 149 inf + 0 409.244 * * [simplify]: Extracting #5: cost 205 inf + 44 409.245 * * [simplify]: Extracting #6: cost 240 inf + 4650 409.248 * * [simplify]: Extracting #7: cost 195 inf + 14788 409.252 * * [simplify]: Extracting #8: cost 139 inf + 28603 409.260 * * [simplify]: Extracting #9: cost 94 inf + 48660 409.271 * * [simplify]: Extracting #10: cost 37 inf + 75656 409.289 * * [simplify]: Extracting #11: cost 5 inf + 106776 409.313 * * [simplify]: Extracting #12: cost 0 inf + 113501 409.334 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 409.334 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 409.334 * * * * [progress]: [ 1013 / 5906 ] simplifiying candidate # 409.335 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 409.335 * * [simplify]: iters left: 6 (45 enodes) 409.346 * * [simplify]: iters left: 5 (211 enodes) 409.391 * * [simplify]: Extracting #0: cost 1 inf + 0 409.392 * * [simplify]: Extracting #1: cost 3 inf + 0 409.392 * * [simplify]: Extracting #2: cost 6 inf + 0 409.392 * * [simplify]: Extracting #3: cost 55 inf + 0 409.392 * * [simplify]: Extracting #4: cost 117 inf + 0 409.392 * * [simplify]: Extracting #5: cost 153 inf + 44 409.393 * * [simplify]: Extracting #6: cost 215 inf + 830 409.394 * * [simplify]: Extracting #7: cost 200 inf + 3844 409.398 * * [simplify]: Extracting #8: cost 121 inf + 22946 409.412 * * [simplify]: Extracting #9: cost 23 inf + 80149 409.430 * * [simplify]: Extracting #10: cost 1 inf + 91068 409.448 * * [simplify]: Extracting #11: cost 0 inf + 90600 409.467 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 409.467 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 409.467 * * * * [progress]: [ 1014 / 5906 ] simplifiying candidate # 409.467 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 409.468 * * [simplify]: iters left: 6 (50 enodes) 409.482 * * [simplify]: iters left: 5 (239 enodes) 409.532 * * [simplify]: Extracting #0: cost 1 inf + 0 409.532 * * [simplify]: Extracting #1: cost 3 inf + 0 409.533 * * [simplify]: Extracting #2: cost 10 inf + 0 409.533 * * [simplify]: Extracting #3: cost 75 inf + 0 409.533 * * [simplify]: Extracting #4: cost 142 inf + 1 409.533 * * [simplify]: Extracting #5: cost 182 inf + 207 409.534 * * [simplify]: Extracting #6: cost 238 inf + 2373 409.536 * * [simplify]: Extracting #7: cost 208 inf + 9955 409.540 * * [simplify]: Extracting #8: cost 132 inf + 27327 409.551 * * [simplify]: Extracting #9: cost 46 inf + 68034 409.570 * * [simplify]: Extracting #10: cost 4 inf + 104406 409.590 * * [simplify]: Extracting #11: cost 1 inf + 108881 409.610 * * [simplify]: Extracting #12: cost 0 inf + 110666 409.631 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 409.631 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 409.632 * * * * [progress]: [ 1015 / 5906 ] simplifiying candidate # 409.632 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 409.632 * * [simplify]: iters left: 6 (45 enodes) 409.644 * * [simplify]: iters left: 5 (211 enodes) 409.687 * * [simplify]: Extracting #0: cost 1 inf + 0 409.687 * * [simplify]: Extracting #1: cost 3 inf + 0 409.687 * * [simplify]: Extracting #2: cost 10 inf + 0 409.687 * * [simplify]: Extracting #3: cost 67 inf + 0 409.688 * * [simplify]: Extracting #4: cost 122 inf + 44 409.688 * * [simplify]: Extracting #5: cost 149 inf + 619 409.689 * * [simplify]: Extracting #6: cost 205 inf + 2976 409.690 * * [simplify]: Extracting #7: cost 195 inf + 5708 409.694 * * [simplify]: Extracting #8: cost 115 inf + 29089 409.706 * * [simplify]: Extracting #9: cost 27 inf + 71176 409.723 * * [simplify]: Extracting #10: cost 4 inf + 87311 409.743 * * [simplify]: Extracting #11: cost 0 inf + 90705 409.760 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 409.760 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 409.761 * * * * [progress]: [ 1016 / 5906 ] simplifiying candidate # 409.761 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 409.761 * * [simplify]: iters left: 6 (50 enodes) 409.774 * * [simplify]: iters left: 5 (239 enodes) 409.826 * * [simplify]: Extracting #0: cost 1 inf + 0 409.826 * * [simplify]: Extracting #1: cost 3 inf + 0 409.826 * * [simplify]: Extracting #2: cost 10 inf + 0 409.827 * * [simplify]: Extracting #3: cost 75 inf + 0 409.827 * * [simplify]: Extracting #4: cost 142 inf + 1 409.827 * * [simplify]: Extracting #5: cost 183 inf + 165 409.828 * * [simplify]: Extracting #6: cost 235 inf + 3180 409.830 * * [simplify]: Extracting #7: cost 202 inf + 12012 409.834 * * [simplify]: Extracting #8: cost 134 inf + 26971 409.843 * * [simplify]: Extracting #9: cost 46 inf + 68395 409.861 * * [simplify]: Extracting #10: cost 4 inf + 105366 409.882 * * [simplify]: Extracting #11: cost 1 inf + 109841 409.905 * * [simplify]: Extracting #12: cost 0 inf + 111626 409.926 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 409.926 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 409.926 * * * * [progress]: [ 1017 / 5906 ] simplifiying candidate # 409.926 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 409.927 * * [simplify]: iters left: 6 (45 enodes) 409.938 * * [simplify]: iters left: 5 (211 enodes) 409.982 * * [simplify]: Extracting #0: cost 1 inf + 0 409.982 * * [simplify]: Extracting #1: cost 3 inf + 0 409.982 * * [simplify]: Extracting #2: cost 10 inf + 0 409.983 * * [simplify]: Extracting #3: cost 66 inf + 0 409.983 * * [simplify]: Extracting #4: cost 122 inf + 44 409.983 * * [simplify]: Extracting #5: cost 142 inf + 1472 409.984 * * [simplify]: Extracting #6: cost 206 inf + 2934 409.985 * * [simplify]: Extracting #7: cost 193 inf + 5911 409.989 * * [simplify]: Extracting #8: cost 116 inf + 29025 410.000 * * [simplify]: Extracting #9: cost 30 inf + 70023 410.017 * * [simplify]: Extracting #10: cost 4 inf + 87711 410.035 * * [simplify]: Extracting #11: cost 0 inf + 91105 410.053 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 410.053 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 410.053 * * * * [progress]: [ 1018 / 5906 ] simplifiying candidate # 410.054 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 410.054 * * [simplify]: iters left: 6 (51 enodes) 410.068 * * [simplify]: iters left: 5 (243 enodes) 410.121 * * [simplify]: Extracting #0: cost 1 inf + 0 410.121 * * [simplify]: Extracting #1: cost 3 inf + 0 410.121 * * [simplify]: Extracting #2: cost 6 inf + 0 410.121 * * [simplify]: Extracting #3: cost 56 inf + 0 410.121 * * [simplify]: Extracting #4: cost 130 inf + 0 410.122 * * [simplify]: Extracting #5: cost 208 inf + 0 410.123 * * [simplify]: Extracting #6: cost 270 inf + 1791 410.124 * * [simplify]: Extracting #7: cost 200 inf + 13992 410.130 * * [simplify]: Extracting #8: cost 121 inf + 39655 410.141 * * [simplify]: Extracting #9: cost 62 inf + 61495 410.159 * * [simplify]: Extracting #10: cost 7 inf + 116630 410.183 * * [simplify]: Extracting #11: cost 1 inf + 125340 410.207 * * [simplify]: Extracting #12: cost 0 inf + 127445 410.231 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 410.231 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 410.231 * * * * [progress]: [ 1019 / 5906 ] simplifiying candidate # 410.232 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 410.232 * * [simplify]: iters left: 6 (52 enodes) 410.246 * * [simplify]: iters left: 5 (252 enodes) 410.301 * * [simplify]: Extracting #0: cost 1 inf + 0 410.301 * * [simplify]: Extracting #1: cost 3 inf + 0 410.301 * * [simplify]: Extracting #2: cost 6 inf + 0 410.301 * * [simplify]: Extracting #3: cost 60 inf + 0 410.302 * * [simplify]: Extracting #4: cost 153 inf + 0 410.302 * * [simplify]: Extracting #5: cost 222 inf + 44 410.304 * * [simplify]: Extracting #6: cost 248 inf + 5058 410.307 * * [simplify]: Extracting #7: cost 189 inf + 15870 410.316 * * [simplify]: Extracting #8: cost 104 inf + 47044 410.328 * * [simplify]: Extracting #9: cost 50 inf + 71612 410.347 * * [simplify]: Extracting #10: cost 8 inf + 117662 410.371 * * [simplify]: Extracting #11: cost 1 inf + 126237 410.395 * * [simplify]: Extracting #12: cost 0 inf + 128422 410.419 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 410.420 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 410.420 * * * * [progress]: [ 1020 / 5906 ] simplifiying candidate # 410.420 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 410.421 * * [simplify]: iters left: 6 (52 enodes) 410.434 * * [simplify]: iters left: 5 (252 enodes) 410.491 * * [simplify]: Extracting #0: cost 1 inf + 0 410.491 * * [simplify]: Extracting #1: cost 3 inf + 0 410.491 * * [simplify]: Extracting #2: cost 6 inf + 0 410.491 * * [simplify]: Extracting #3: cost 62 inf + 0 410.491 * * [simplify]: Extracting #4: cost 151 inf + 0 410.492 * * [simplify]: Extracting #5: cost 218 inf + 44 410.493 * * [simplify]: Extracting #6: cost 239 inf + 6627 410.496 * * [simplify]: Extracting #7: cost 186 inf + 16384 410.503 * * [simplify]: Extracting #8: cost 104 inf + 44949 410.514 * * [simplify]: Extracting #9: cost 49 inf + 71389 410.532 * * [simplify]: Extracting #10: cost 7 inf + 117199 410.555 * * [simplify]: Extracting #11: cost 1 inf + 123909 410.580 * * [simplify]: Extracting #12: cost 0 inf + 126094 410.603 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 410.604 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 410.604 * * * * [progress]: [ 1021 / 5906 ] simplifiying candidate # 410.604 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 410.605 * * [simplify]: iters left: 6 (46 enodes) 410.617 * * [simplify]: iters left: 5 (216 enodes) 410.665 * * [simplify]: Extracting #0: cost 1 inf + 0 410.665 * * [simplify]: Extracting #1: cost 3 inf + 0 410.665 * * [simplify]: Extracting #2: cost 6 inf + 0 410.665 * * [simplify]: Extracting #3: cost 54 inf + 0 410.665 * * [simplify]: Extracting #4: cost 119 inf + 0 410.665 * * [simplify]: Extracting #5: cost 165 inf + 86 410.666 * * [simplify]: Extracting #6: cost 222 inf + 1194 410.667 * * [simplify]: Extracting #7: cost 204 inf + 3966 410.671 * * [simplify]: Extracting #8: cost 133 inf + 22612 410.679 * * [simplify]: Extracting #9: cost 58 inf + 52350 410.694 * * [simplify]: Extracting #10: cost 11 inf + 91144 410.713 * * [simplify]: Extracting #11: cost 0 inf + 101913 410.733 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 410.733 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 410.734 * * * * [progress]: [ 1022 / 5906 ] simplifiying candidate # 410.734 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 410.734 * * [simplify]: iters left: 6 (51 enodes) 410.749 * * [simplify]: iters left: 5 (244 enodes) 410.801 * * [simplify]: Extracting #0: cost 1 inf + 0 410.801 * * [simplify]: Extracting #1: cost 3 inf + 0 410.801 * * [simplify]: Extracting #2: cost 10 inf + 0 410.801 * * [simplify]: Extracting #3: cost 74 inf + 0 410.801 * * [simplify]: Extracting #4: cost 137 inf + 1 410.802 * * [simplify]: Extracting #5: cost 187 inf + 249 410.802 * * [simplify]: Extracting #6: cost 239 inf + 2172 410.804 * * [simplify]: Extracting #7: cost 189 inf + 11368 410.809 * * [simplify]: Extracting #8: cost 137 inf + 29701 410.818 * * [simplify]: Extracting #9: cost 92 inf + 46512 410.827 * * [simplify]: Extracting #10: cost 55 inf + 62069 410.842 * * [simplify]: Extracting #11: cost 17 inf + 95779 410.865 * * [simplify]: Extracting #12: cost 1 inf + 114939 410.888 * * [simplify]: Extracting #13: cost 0 inf + 116964 410.911 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) 410.911 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 410.912 * * * * [progress]: [ 1023 / 5906 ] simplifiying candidate # 410.912 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 410.913 * * [simplify]: iters left: 6 (46 enodes) 410.925 * * [simplify]: iters left: 5 (216 enodes) 410.969 * * [simplify]: Extracting #0: cost 1 inf + 0 410.970 * * [simplify]: Extracting #1: cost 3 inf + 0 410.970 * * [simplify]: Extracting #2: cost 10 inf + 0 410.970 * * [simplify]: Extracting #3: cost 66 inf + 0 410.970 * * [simplify]: Extracting #4: cost 117 inf + 44 410.970 * * [simplify]: Extracting #5: cost 155 inf + 618 410.971 * * [simplify]: Extracting #6: cost 208 inf + 2855 410.973 * * [simplify]: Extracting #7: cost 181 inf + 6605 410.977 * * [simplify]: Extracting #8: cost 108 inf + 30714 410.987 * * [simplify]: Extracting #9: cost 51 inf + 55512 411.001 * * [simplify]: Extracting #10: cost 13 inf + 84544 411.019 * * [simplify]: Extracting #11: cost 0 inf + 97643 411.037 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 411.037 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 411.038 * * * * [progress]: [ 1024 / 5906 ] simplifiying candidate # 411.038 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 411.039 * * [simplify]: iters left: 6 (51 enodes) 411.051 * * [simplify]: iters left: 5 (244 enodes) 411.104 * * [simplify]: Extracting #0: cost 1 inf + 0 411.104 * * [simplify]: Extracting #1: cost 3 inf + 0 411.104 * * [simplify]: Extracting #2: cost 10 inf + 0 411.104 * * [simplify]: Extracting #3: cost 74 inf + 0 411.105 * * [simplify]: Extracting #4: cost 137 inf + 1 411.105 * * [simplify]: Extracting #5: cost 188 inf + 207 411.106 * * [simplify]: Extracting #6: cost 240 inf + 2332 411.108 * * [simplify]: Extracting #7: cost 187 inf + 11691 411.113 * * [simplify]: Extracting #8: cost 137 inf + 29861 411.120 * * [simplify]: Extracting #9: cost 89 inf + 49307 411.130 * * [simplify]: Extracting #10: cost 49 inf + 66699 411.149 * * [simplify]: Extracting #11: cost 9 inf + 104379 411.171 * * [simplify]: Extracting #12: cost 0 inf + 116804 411.193 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 411.194 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 411.194 * * * * [progress]: [ 1025 / 5906 ] simplifiying candidate # 411.194 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 411.195 * * [simplify]: iters left: 6 (46 enodes) 411.206 * * [simplify]: iters left: 5 (216 enodes) 411.254 * * [simplify]: Extracting #0: cost 1 inf + 0 411.254 * * [simplify]: Extracting #1: cost 3 inf + 0 411.254 * * [simplify]: Extracting #2: cost 10 inf + 0 411.254 * * [simplify]: Extracting #3: cost 65 inf + 0 411.255 * * [simplify]: Extracting #4: cost 117 inf + 44 411.255 * * [simplify]: Extracting #5: cost 152 inf + 904 411.256 * * [simplify]: Extracting #6: cost 208 inf + 2976 411.257 * * [simplify]: Extracting #7: cost 187 inf + 5996 411.261 * * [simplify]: Extracting #8: cost 122 inf + 23870 411.269 * * [simplify]: Extracting #9: cost 48 inf + 58078 411.286 * * [simplify]: Extracting #10: cost 4 inf + 94009 411.304 * * [simplify]: Extracting #11: cost 0 inf + 98043 411.324 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 411.324 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 411.325 * * * * [progress]: [ 1026 / 5906 ] simplifiying candidate # 411.325 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 411.325 * * [simplify]: iters left: 6 (48 enodes) 411.338 * * [simplify]: iters left: 5 (230 enodes) 411.387 * * [simplify]: Extracting #0: cost 1 inf + 0 411.387 * * [simplify]: Extracting #1: cost 3 inf + 0 411.387 * * [simplify]: Extracting #2: cost 6 inf + 0 411.387 * * [simplify]: Extracting #3: cost 54 inf + 0 411.387 * * [simplify]: Extracting #4: cost 120 inf + 0 411.388 * * [simplify]: Extracting #5: cost 188 inf + 0 411.388 * * [simplify]: Extracting #6: cost 255 inf + 806 411.390 * * [simplify]: Extracting #7: cost 211 inf + 8710 411.396 * * [simplify]: Extracting #8: cost 110 inf + 32716 411.406 * * [simplify]: Extracting #9: cost 47 inf + 59713 411.423 * * [simplify]: Extracting #10: cost 2 inf + 104180 411.443 * * [simplify]: Extracting #11: cost 0 inf + 106390 411.463 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 411.463 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 411.464 * * * * [progress]: [ 1027 / 5906 ] simplifiying candidate # 411.464 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 411.464 * * [simplify]: iters left: 6 (49 enodes) 411.477 * * [simplify]: iters left: 5 (239 enodes) 411.529 * * [simplify]: Extracting #0: cost 1 inf + 0 411.529 * * [simplify]: Extracting #1: cost 3 inf + 0 411.530 * * [simplify]: Extracting #2: cost 6 inf + 0 411.530 * * [simplify]: Extracting #3: cost 58 inf + 0 411.530 * * [simplify]: Extracting #4: cost 143 inf + 0 411.530 * * [simplify]: Extracting #5: cost 201 inf + 85 411.532 * * [simplify]: Extracting #6: cost 230 inf + 5289 411.534 * * [simplify]: Extracting #7: cost 187 inf + 14391 411.539 * * [simplify]: Extracting #8: cost 131 inf + 29093 411.546 * * [simplify]: Extracting #9: cost 85 inf + 47958 411.559 * * [simplify]: Extracting #10: cost 52 inf + 59827 411.570 * * [simplify]: Extracting #11: cost 32 inf + 73367 411.588 * * [simplify]: Extracting #12: cost 2 inf + 105957 411.608 * * [simplify]: Extracting #13: cost 0 inf + 108927 411.627 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 411.627 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 411.628 * * * * [progress]: [ 1028 / 5906 ] simplifiying candidate # 411.628 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 411.629 * * [simplify]: iters left: 6 (49 enodes) 411.641 * * [simplify]: iters left: 5 (239 enodes) 411.694 * * [simplify]: Extracting #0: cost 1 inf + 0 411.694 * * [simplify]: Extracting #1: cost 3 inf + 0 411.694 * * [simplify]: Extracting #2: cost 6 inf + 0 411.694 * * [simplify]: Extracting #3: cost 60 inf + 0 411.694 * * [simplify]: Extracting #4: cost 141 inf + 0 411.695 * * [simplify]: Extracting #5: cost 196 inf + 166 411.696 * * [simplify]: Extracting #6: cost 219 inf + 7223 411.699 * * [simplify]: Extracting #7: cost 183 inf + 15246 411.704 * * [simplify]: Extracting #8: cost 102 inf + 38489 411.712 * * [simplify]: Extracting #9: cost 51 inf + 58608 411.726 * * [simplify]: Extracting #10: cost 31 inf + 72264 411.743 * * [simplify]: Extracting #11: cost 2 inf + 104829 411.763 * * [simplify]: Extracting #12: cost 0 inf + 107879 411.783 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))))) 411.783 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 411.783 * * * * [progress]: [ 1029 / 5906 ] simplifiying candidate # 411.784 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 411.784 * * [simplify]: iters left: 6 (43 enodes) 411.795 * * [simplify]: iters left: 5 (203 enodes) 411.837 * * [simplify]: Extracting #0: cost 1 inf + 0 411.837 * * [simplify]: Extracting #1: cost 3 inf + 0 411.837 * * [simplify]: Extracting #2: cost 6 inf + 0 411.838 * * [simplify]: Extracting #3: cost 52 inf + 0 411.838 * * [simplify]: Extracting #4: cost 109 inf + 0 411.838 * * [simplify]: Extracting #5: cost 145 inf + 126 411.839 * * [simplify]: Extracting #6: cost 197 inf + 1481 411.840 * * [simplify]: Extracting #7: cost 176 inf + 5994 411.844 * * [simplify]: Extracting #8: cost 119 inf + 23016 411.850 * * [simplify]: Extracting #9: cost 76 inf + 38161 411.859 * * [simplify]: Extracting #10: cost 33 inf + 54179 411.871 * * [simplify]: Extracting #11: cost 6 inf + 77668 411.889 * * [simplify]: Extracting #12: cost 0 inf + 85578 411.904 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))) 411.904 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 411.905 * * * * [progress]: [ 1030 / 5906 ] simplifiying candidate # 411.905 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 411.905 * * [simplify]: iters left: 6 (48 enodes) 411.918 * * [simplify]: iters left: 5 (231 enodes) 411.969 * * [simplify]: Extracting #0: cost 1 inf + 0 411.969 * * [simplify]: Extracting #1: cost 3 inf + 0 411.969 * * [simplify]: Extracting #2: cost 10 inf + 0 411.969 * * [simplify]: Extracting #3: cost 72 inf + 0 411.970 * * [simplify]: Extracting #4: cost 126 inf + 42 411.970 * * [simplify]: Extracting #5: cost 168 inf + 207 411.971 * * [simplify]: Extracting #6: cost 220 inf + 2247 411.972 * * [simplify]: Extracting #7: cost 200 inf + 6912 411.975 * * [simplify]: Extracting #8: cost 134 inf + 22024 411.981 * * [simplify]: Extracting #9: cost 82 inf + 42793 411.993 * * [simplify]: Extracting #10: cost 23 inf + 74134 412.010 * * [simplify]: Extracting #11: cost 2 inf + 97179 412.029 * * [simplify]: Extracting #12: cost 0 inf + 99989 412.048 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) 412.048 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 412.050 * * * * [progress]: [ 1031 / 5906 ] simplifiying candidate # 412.050 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 412.051 * * [simplify]: iters left: 6 (43 enodes) 412.062 * * [simplify]: iters left: 5 (203 enodes) 412.108 * * [simplify]: Extracting #0: cost 1 inf + 0 412.108 * * [simplify]: Extracting #1: cost 3 inf + 0 412.108 * * [simplify]: Extracting #2: cost 10 inf + 0 412.108 * * [simplify]: Extracting #3: cost 64 inf + 0 412.108 * * [simplify]: Extracting #4: cost 106 inf + 86 412.109 * * [simplify]: Extracting #5: cost 129 inf + 1310 412.110 * * [simplify]: Extracting #6: cost 186 inf + 2934 412.111 * * [simplify]: Extracting #7: cost 172 inf + 6477 412.114 * * [simplify]: Extracting #8: cost 113 inf + 19254 412.120 * * [simplify]: Extracting #9: cost 60 inf + 39488 412.131 * * [simplify]: Extracting #10: cost 28 inf + 56513 412.146 * * [simplify]: Extracting #11: cost 1 inf + 80683 412.161 * * [simplify]: Extracting #12: cost 0 inf + 82268 412.176 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))))) 412.177 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 412.177 * * * * [progress]: [ 1032 / 5906 ] simplifiying candidate # 412.177 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 412.178 * * [simplify]: iters left: 6 (48 enodes) 412.190 * * [simplify]: iters left: 5 (231 enodes) 412.240 * * [simplify]: Extracting #0: cost 1 inf + 0 412.240 * * [simplify]: Extracting #1: cost 3 inf + 0 412.240 * * [simplify]: Extracting #2: cost 10 inf + 0 412.240 * * [simplify]: Extracting #3: cost 72 inf + 0 412.241 * * [simplify]: Extracting #4: cost 126 inf + 42 412.241 * * [simplify]: Extracting #5: cost 168 inf + 207 412.242 * * [simplify]: Extracting #6: cost 218 inf + 2570 412.243 * * [simplify]: Extracting #7: cost 198 inf + 7687 412.246 * * [simplify]: Extracting #8: cost 136 inf + 22033 412.252 * * [simplify]: Extracting #9: cost 83 inf + 43328 412.263 * * [simplify]: Extracting #10: cost 23 inf + 75094 412.281 * * [simplify]: Extracting #11: cost 2 inf + 98139 412.302 * * [simplify]: Extracting #12: cost 0 inf + 100949 412.321 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) 412.321 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 412.321 * * * * [progress]: [ 1033 / 5906 ] simplifiying candidate # 412.322 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 412.322 * * [simplify]: iters left: 6 (43 enodes) 412.333 * * [simplify]: iters left: 5 (203 enodes) 412.376 * * [simplify]: Extracting #0: cost 1 inf + 0 412.376 * * [simplify]: Extracting #1: cost 3 inf + 0 412.376 * * [simplify]: Extracting #2: cost 10 inf + 0 412.376 * * [simplify]: Extracting #3: cost 63 inf + 0 412.376 * * [simplify]: Extracting #4: cost 107 inf + 44 412.377 * * [simplify]: Extracting #5: cost 131 inf + 1146 412.377 * * [simplify]: Extracting #6: cost 186 inf + 2934 412.379 * * [simplify]: Extracting #7: cost 173 inf + 6113 412.381 * * [simplify]: Extracting #8: cost 111 inf + 20185 412.390 * * [simplify]: Extracting #9: cost 44 inf + 50526 412.404 * * [simplify]: Extracting #10: cost 8 inf + 76973 412.421 * * [simplify]: Extracting #11: cost 0 inf + 81068 412.437 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 412.437 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 412.437 * * * * [progress]: [ 1034 / 5906 ] simplifiying candidate # 412.437 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 412.438 * * [simplify]: iters left: 6 (47 enodes) 412.450 * * [simplify]: iters left: 5 (232 enodes) 412.502 * * [simplify]: Extracting #0: cost 1 inf + 0 412.502 * * [simplify]: Extracting #1: cost 3 inf + 0 412.502 * * [simplify]: Extracting #2: cost 6 inf + 0 412.503 * * [simplify]: Extracting #3: cost 54 inf + 0 412.503 * * [simplify]: Extracting #4: cost 120 inf + 0 412.503 * * [simplify]: Extracting #5: cost 193 inf + 0 412.504 * * [simplify]: Extracting #6: cost 272 inf + 169 412.505 * * [simplify]: Extracting #7: cost 251 inf + 4068 412.508 * * [simplify]: Extracting #8: cost 159 inf + 22526 412.517 * * [simplify]: Extracting #9: cost 73 inf + 58213 412.530 * * [simplify]: Extracting #10: cost 33 inf + 75937 412.551 * * [simplify]: Extracting #11: cost 4 inf + 103742 412.573 * * [simplify]: Extracting #12: cost 0 inf + 110162 412.596 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 412.596 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 412.596 * * * * [progress]: [ 1035 / 5906 ] simplifiying candidate # 412.597 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 412.597 * * [simplify]: iters left: 6 (48 enodes) 412.609 * * [simplify]: iters left: 5 (241 enodes) 412.664 * * [simplify]: Extracting #0: cost 1 inf + 0 412.664 * * [simplify]: Extracting #1: cost 3 inf + 0 412.664 * * [simplify]: Extracting #2: cost 6 inf + 0 412.664 * * [simplify]: Extracting #3: cost 58 inf + 0 412.664 * * [simplify]: Extracting #4: cost 143 inf + 0 412.665 * * [simplify]: Extracting #5: cost 201 inf + 454 412.666 * * [simplify]: Extracting #6: cost 241 inf + 5614 412.668 * * [simplify]: Extracting #7: cost 223 inf + 10683 412.672 * * [simplify]: Extracting #8: cost 156 inf + 23045 412.680 * * [simplify]: Extracting #9: cost 82 inf + 53664 412.699 * * [simplify]: Extracting #10: cost 14 inf + 101273 412.725 * * [simplify]: Extracting #11: cost 0 inf + 112139 412.748 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) 412.748 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 412.749 * * * * [progress]: [ 1036 / 5906 ] simplifiying candidate # 412.749 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 412.749 * * [simplify]: iters left: 6 (48 enodes) 412.761 * * [simplify]: iters left: 5 (241 enodes) 412.817 * * [simplify]: Extracting #0: cost 1 inf + 0 412.817 * * [simplify]: Extracting #1: cost 3 inf + 0 412.817 * * [simplify]: Extracting #2: cost 6 inf + 0 412.817 * * [simplify]: Extracting #3: cost 60 inf + 0 412.817 * * [simplify]: Extracting #4: cost 141 inf + 0 412.818 * * [simplify]: Extracting #5: cost 198 inf + 252 412.819 * * [simplify]: Extracting #6: cost 248 inf + 3754 412.821 * * [simplify]: Extracting #7: cost 231 inf + 8930 412.824 * * [simplify]: Extracting #8: cost 160 inf + 22076 412.833 * * [simplify]: Extracting #9: cost 81 inf + 56838 412.851 * * [simplify]: Extracting #10: cost 15 inf + 100436 412.874 * * [simplify]: Extracting #11: cost 0 inf + 111171 412.899 * * [simplify]: Extracting #12: cost 0 inf + 111011 412.922 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) 412.922 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 412.923 * * * * [progress]: [ 1037 / 5906 ] simplifiying candidate # 412.923 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 412.923 * * [simplify]: iters left: 6 (42 enodes) 412.934 * * [simplify]: iters left: 5 (205 enodes) 412.979 * * [simplify]: Extracting #0: cost 1 inf + 0 412.979 * * [simplify]: Extracting #1: cost 3 inf + 0 412.979 * * [simplify]: Extracting #2: cost 6 inf + 0 412.979 * * [simplify]: Extracting #3: cost 52 inf + 0 412.980 * * [simplify]: Extracting #4: cost 109 inf + 0 412.980 * * [simplify]: Extracting #5: cost 149 inf + 126 412.981 * * [simplify]: Extracting #6: cost 213 inf + 1313 412.982 * * [simplify]: Extracting #7: cost 203 inf + 4319 412.984 * * [simplify]: Extracting #8: cost 138 inf + 15611 412.990 * * [simplify]: Extracting #9: cost 86 inf + 34940 412.999 * * [simplify]: Extracting #10: cost 44 inf + 53425 413.011 * * [simplify]: Extracting #11: cost 26 inf + 64180 413.029 * * [simplify]: Extracting #12: cost 6 inf + 83200 413.048 * * [simplify]: Extracting #13: cost 0 inf + 89310 413.068 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 413.068 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 413.069 * * * * [progress]: [ 1038 / 5906 ] simplifiying candidate # 413.069 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 413.070 * * [simplify]: iters left: 6 (47 enodes) 413.082 * * [simplify]: iters left: 5 (233 enodes) 413.132 * * [simplify]: Extracting #0: cost 1 inf + 0 413.132 * * [simplify]: Extracting #1: cost 3 inf + 0 413.132 * * [simplify]: Extracting #2: cost 10 inf + 0 413.133 * * [simplify]: Extracting #3: cost 72 inf + 0 413.135 * * [simplify]: Extracting #4: cost 126 inf + 42 413.135 * * [simplify]: Extracting #5: cost 172 inf + 248 413.136 * * [simplify]: Extracting #6: cost 233 inf + 2728 413.138 * * [simplify]: Extracting #7: cost 224 inf + 6169 413.142 * * [simplify]: Extracting #8: cost 125 inf + 27632 413.152 * * [simplify]: Extracting #9: cost 45 inf + 64358 413.169 * * [simplify]: Extracting #10: cost 5 inf + 95876 413.191 * * [simplify]: Extracting #11: cost 0 inf + 103561 413.212 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 413.212 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 413.213 * * * * [progress]: [ 1039 / 5906 ] simplifiying candidate # 413.213 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 413.213 * * [simplify]: iters left: 6 (42 enodes) 413.224 * * [simplify]: iters left: 5 (205 enodes) 413.268 * * [simplify]: Extracting #0: cost 1 inf + 0 413.268 * * [simplify]: Extracting #1: cost 3 inf + 0 413.268 * * [simplify]: Extracting #2: cost 10 inf + 0 413.268 * * [simplify]: Extracting #3: cost 64 inf + 0 413.269 * * [simplify]: Extracting #4: cost 106 inf + 86 413.269 * * [simplify]: Extracting #5: cost 134 inf + 1310 413.270 * * [simplify]: Extracting #6: cost 201 inf + 2932 413.271 * * [simplify]: Extracting #7: cost 201 inf + 4599 413.273 * * [simplify]: Extracting #8: cost 137 inf + 15566 413.279 * * [simplify]: Extracting #9: cost 89 inf + 33857 413.291 * * [simplify]: Extracting #10: cost 19 inf + 69351 413.309 * * [simplify]: Extracting #11: cost 2 inf + 83350 413.327 * * [simplify]: Extracting #12: cost 0 inf + 86400 413.347 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 413.347 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 413.348 * * * * [progress]: [ 1040 / 5906 ] simplifiying candidate # 413.348 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 413.349 * * [simplify]: iters left: 6 (47 enodes) 413.361 * * [simplify]: iters left: 5 (233 enodes) 413.415 * * [simplify]: Extracting #0: cost 1 inf + 0 413.415 * * [simplify]: Extracting #1: cost 3 inf + 0 413.415 * * [simplify]: Extracting #2: cost 10 inf + 0 413.415 * * [simplify]: Extracting #3: cost 72 inf + 0 413.415 * * [simplify]: Extracting #4: cost 126 inf + 42 413.416 * * [simplify]: Extracting #5: cost 170 inf + 452 413.417 * * [simplify]: Extracting #6: cost 236 inf + 2363 413.418 * * [simplify]: Extracting #7: cost 224 inf + 6329 413.422 * * [simplify]: Extracting #8: cost 125 inf + 27819 413.432 * * [simplify]: Extracting #9: cost 46 inf + 64293 413.449 * * [simplify]: Extracting #10: cost 5 inf + 96836 413.471 * * [simplify]: Extracting #11: cost 0 inf + 104521 413.495 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 413.495 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 413.495 * * * * [progress]: [ 1041 / 5906 ] simplifiying candidate # 413.496 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 413.496 * * [simplify]: iters left: 6 (42 enodes) 413.507 * * [simplify]: iters left: 5 (205 enodes) 413.549 * * [simplify]: Extracting #0: cost 1 inf + 0 413.549 * * [simplify]: Extracting #1: cost 3 inf + 0 413.549 * * [simplify]: Extracting #2: cost 10 inf + 0 413.549 * * [simplify]: Extracting #3: cost 63 inf + 0 413.550 * * [simplify]: Extracting #4: cost 106 inf + 86 413.550 * * [simplify]: Extracting #5: cost 132 inf + 1634 413.551 * * [simplify]: Extracting #6: cost 201 inf + 2932 413.552 * * [simplify]: Extracting #7: cost 200 inf + 5000 413.555 * * [simplify]: Extracting #8: cost 136 inf + 15888 413.562 * * [simplify]: Extracting #9: cost 89 inf + 33299 413.575 * * [simplify]: Extracting #10: cost 20 inf + 69387 413.591 * * [simplify]: Extracting #11: cost 2 inf + 83790 413.610 * * [simplify]: Extracting #12: cost 0 inf + 86800 413.628 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 413.628 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 413.629 * * * * [progress]: [ 1042 / 5906 ] simplifiying candidate # 413.629 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 413.629 * * [simplify]: iters left: 6 (51 enodes) 413.643 * * [simplify]: iters left: 5 (250 enodes) 413.699 * * [simplify]: Extracting #0: cost 1 inf + 0 413.699 * * [simplify]: Extracting #1: cost 3 inf + 0 413.699 * * [simplify]: Extracting #2: cost 6 inf + 0 413.699 * * [simplify]: Extracting #3: cost 50 inf + 0 413.700 * * [simplify]: Extracting #4: cost 116 inf + 0 413.700 * * [simplify]: Extracting #5: cost 185 inf + 0 413.701 * * [simplify]: Extracting #6: cost 279 inf + 763 413.702 * * [simplify]: Extracting #7: cost 230 inf + 9981 413.706 * * [simplify]: Extracting #8: cost 149 inf + 24542 413.713 * * [simplify]: Extracting #9: cost 94 inf + 42742 413.724 * * [simplify]: Extracting #10: cost 48 inf + 64582 413.738 * * [simplify]: Extracting #11: cost 36 inf + 73322 413.757 * * [simplify]: Extracting #12: cost 8 inf + 99862 413.778 * * [simplify]: Extracting #13: cost 1 inf + 108357 413.801 * * [simplify]: Extracting #14: cost 0 inf + 110102 413.823 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 413.823 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 413.824 * * * * [progress]: [ 1043 / 5906 ] simplifiying candidate # 413.824 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 413.824 * * [simplify]: iters left: 6 (52 enodes) 413.839 * * [simplify]: iters left: 5 (259 enodes) 413.895 * * [simplify]: Extracting #0: cost 1 inf + 0 413.895 * * [simplify]: Extracting #1: cost 3 inf + 0 413.895 * * [simplify]: Extracting #2: cost 6 inf + 0 413.895 * * [simplify]: Extracting #3: cost 53 inf + 0 413.895 * * [simplify]: Extracting #4: cost 138 inf + 0 413.896 * * [simplify]: Extracting #5: cost 197 inf + 85 413.899 * * [simplify]: Extracting #6: cost 259 inf + 4035 413.901 * * [simplify]: Extracting #7: cost 229 inf + 10537 413.905 * * [simplify]: Extracting #8: cost 148 inf + 27413 413.914 * * [simplify]: Extracting #9: cost 86 inf + 53737 413.926 * * [simplify]: Extracting #10: cost 44 inf + 72434 413.940 * * [simplify]: Extracting #11: cost 29 inf + 82289 413.961 * * [simplify]: Extracting #12: cost 3 inf + 106979 413.984 * * [simplify]: Extracting #13: cost 0 inf + 112414 414.006 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (+ phi1 phi2)) (- phi1 phi2)) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)))) 414.007 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (+ phi1 phi2)) (- phi1 phi2)) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 414.007 * * * * [progress]: [ 1044 / 5906 ] simplifiying candidate # 414.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 414.008 * * [simplify]: iters left: 6 (52 enodes) 414.021 * * [simplify]: iters left: 5 (259 enodes) 414.080 * * [simplify]: Extracting #0: cost 1 inf + 0 414.080 * * [simplify]: Extracting #1: cost 3 inf + 0 414.080 * * [simplify]: Extracting #2: cost 6 inf + 0 414.080 * * [simplify]: Extracting #3: cost 55 inf + 0 414.081 * * [simplify]: Extracting #4: cost 136 inf + 0 414.081 * * [simplify]: Extracting #5: cost 193 inf + 85 414.082 * * [simplify]: Extracting #6: cost 260 inf + 3266 414.084 * * [simplify]: Extracting #7: cost 231 inf + 9505 414.088 * * [simplify]: Extracting #8: cost 153 inf + 24985 414.095 * * [simplify]: Extracting #9: cost 105 inf + 41612 414.106 * * [simplify]: Extracting #10: cost 51 inf + 67358 414.120 * * [simplify]: Extracting #11: cost 29 inf + 81481 414.139 * * [simplify]: Extracting #12: cost 3 inf + 104931 414.163 * * [simplify]: Extracting #13: cost 0 inf + 110366 414.184 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 414.184 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 414.185 * * * * [progress]: [ 1045 / 5906 ] simplifiying candidate # 414.185 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 414.185 * * [simplify]: iters left: 6 (46 enodes) 414.197 * * [simplify]: iters left: 5 (225 enodes) 414.246 * * [simplify]: Extracting #0: cost 1 inf + 0 414.246 * * [simplify]: Extracting #1: cost 3 inf + 0 414.246 * * [simplify]: Extracting #2: cost 6 inf + 0 414.246 * * [simplify]: Extracting #3: cost 47 inf + 0 414.246 * * [simplify]: Extracting #4: cost 104 inf + 0 414.247 * * [simplify]: Extracting #5: cost 141 inf + 167 414.247 * * [simplify]: Extracting #6: cost 219 inf + 1760 414.249 * * [simplify]: Extracting #7: cost 212 inf + 4559 414.253 * * [simplify]: Extracting #8: cost 117 inf + 23826 414.261 * * [simplify]: Extracting #9: cost 53 inf + 50026 414.274 * * [simplify]: Extracting #10: cost 27 inf + 64733 414.290 * * [simplify]: Extracting #11: cost 0 inf + 90088 414.308 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 414.308 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 414.309 * * * * [progress]: [ 1046 / 5906 ] simplifiying candidate # 414.309 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 414.309 * * [simplify]: iters left: 6 (51 enodes) 414.325 * * [simplify]: iters left: 5 (252 enodes) 414.379 * * [simplify]: Extracting #0: cost 1 inf + 0 414.379 * * [simplify]: Extracting #1: cost 3 inf + 0 414.379 * * [simplify]: Extracting #2: cost 10 inf + 0 414.379 * * [simplify]: Extracting #3: cost 63 inf + 0 414.379 * * [simplify]: Extracting #4: cost 118 inf + 42 414.380 * * [simplify]: Extracting #5: cost 160 inf + 290 414.380 * * [simplify]: Extracting #6: cost 241 inf + 2003 414.382 * * [simplify]: Extracting #7: cost 220 inf + 7149 414.388 * * [simplify]: Extracting #8: cost 145 inf + 22836 414.395 * * [simplify]: Extracting #9: cost 86 inf + 45719 414.406 * * [simplify]: Extracting #10: cost 44 inf + 63684 414.419 * * [simplify]: Extracting #11: cost 31 inf + 71889 414.438 * * [simplify]: Extracting #12: cost 3 inf + 99229 414.459 * * [simplify]: Extracting #13: cost 1 inf + 102759 414.480 * * [simplify]: Extracting #14: cost 0 inf + 104544 414.502 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 414.502 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 414.503 * * * * [progress]: [ 1047 / 5906 ] simplifiying candidate # 414.503 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 414.504 * * [simplify]: iters left: 6 (46 enodes) 414.516 * * [simplify]: iters left: 5 (224 enodes) 414.567 * * [simplify]: Extracting #0: cost 1 inf + 0 414.567 * * [simplify]: Extracting #1: cost 3 inf + 0 414.567 * * [simplify]: Extracting #2: cost 10 inf + 0 414.567 * * [simplify]: Extracting #3: cost 58 inf + 0 414.568 * * [simplify]: Extracting #4: cost 104 inf + 44 414.568 * * [simplify]: Extracting #5: cost 131 inf + 862 414.569 * * [simplify]: Extracting #6: cost 211 inf + 2932 414.570 * * [simplify]: Extracting #7: cost 214 inf + 3952 414.574 * * [simplify]: Extracting #8: cost 116 inf + 23941 414.581 * * [simplify]: Extracting #9: cost 65 inf + 44878 414.593 * * [simplify]: Extracting #10: cost 23 inf + 68433 414.608 * * [simplify]: Extracting #11: cost 2 inf + 84972 414.625 * * [simplify]: Extracting #12: cost 0 inf + 87902 414.643 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 414.643 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 414.643 * * * * [progress]: [ 1048 / 5906 ] simplifiying candidate # 414.644 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 414.644 * * [simplify]: iters left: 6 (51 enodes) 414.659 * * [simplify]: iters left: 5 (252 enodes) 414.712 * * [simplify]: Extracting #0: cost 1 inf + 0 414.712 * * [simplify]: Extracting #1: cost 3 inf + 0 414.712 * * [simplify]: Extracting #2: cost 10 inf + 0 414.712 * * [simplify]: Extracting #3: cost 63 inf + 0 414.713 * * [simplify]: Extracting #4: cost 118 inf + 42 414.713 * * [simplify]: Extracting #5: cost 161 inf + 248 414.714 * * [simplify]: Extracting #6: cost 236 inf + 3213 414.716 * * [simplify]: Extracting #7: cost 215 inf + 8118 414.719 * * [simplify]: Extracting #8: cost 141 inf + 23824 414.729 * * [simplify]: Extracting #9: cost 87 inf + 44976 414.740 * * [simplify]: Extracting #10: cost 44 inf + 64484 414.752 * * [simplify]: Extracting #11: cost 31 inf + 72529 414.771 * * [simplify]: Extracting #12: cost 3 inf + 99869 414.792 * * [simplify]: Extracting #13: cost 1 inf + 103399 414.814 * * [simplify]: Extracting #14: cost 0 inf + 105184 414.836 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 414.837 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 414.837 * * * * [progress]: [ 1049 / 5906 ] simplifiying candidate # 414.837 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 414.838 * * [simplify]: iters left: 6 (46 enodes) 414.850 * * [simplify]: iters left: 5 (224 enodes) 414.898 * * [simplify]: Extracting #0: cost 1 inf + 0 414.898 * * [simplify]: Extracting #1: cost 3 inf + 0 414.898 * * [simplify]: Extracting #2: cost 10 inf + 0 414.898 * * [simplify]: Extracting #3: cost 57 inf + 0 414.898 * * [simplify]: Extracting #4: cost 104 inf + 44 414.899 * * [simplify]: Extracting #5: cost 129 inf + 1026 414.900 * * [simplify]: Extracting #6: cost 211 inf + 2932 414.903 * * [simplify]: Extracting #7: cost 214 inf + 3952 414.906 * * [simplify]: Extracting #8: cost 115 inf + 24223 414.914 * * [simplify]: Extracting #9: cost 62 inf + 46911 414.925 * * [simplify]: Extracting #10: cost 24 inf + 67848 414.941 * * [simplify]: Extracting #11: cost 2 inf + 85292 414.958 * * [simplify]: Extracting #12: cost 0 inf + 88222 414.975 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 414.975 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 414.975 * * * * [progress]: [ 1050 / 5906 ] simplifiying candidate # 414.976 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 414.976 * * [simplify]: iters left: 6 (47 enodes) 414.989 * * [simplify]: iters left: 5 (228 enodes) 415.039 * * [simplify]: Extracting #0: cost 1 inf + 0 415.039 * * [simplify]: Extracting #1: cost 3 inf + 0 415.039 * * [simplify]: Extracting #2: cost 6 inf + 0 415.039 * * [simplify]: Extracting #3: cost 48 inf + 0 415.039 * * [simplify]: Extracting #4: cost 112 inf + 0 415.040 * * [simplify]: Extracting #5: cost 185 inf + 0 415.040 * * [simplify]: Extracting #6: cost 263 inf + 291 415.042 * * [simplify]: Extracting #7: cost 237 inf + 4880 415.046 * * [simplify]: Extracting #8: cost 125 inf + 33347 415.065 * * [simplify]: Extracting #9: cost 9 inf + 99532 415.086 * * [simplify]: Extracting #10: cost 0 inf + 105808 415.107 * * [simplify]: Extracting #11: cost 0 inf + 104608 415.128 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 415.128 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 415.129 * * * * [progress]: [ 1051 / 5906 ] simplifiying candidate # 415.129 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 415.129 * * [simplify]: iters left: 6 (48 enodes) 415.142 * * [simplify]: iters left: 5 (237 enodes) 415.198 * * [simplify]: Extracting #0: cost 1 inf + 0 415.198 * * [simplify]: Extracting #1: cost 3 inf + 0 415.198 * * [simplify]: Extracting #2: cost 6 inf + 0 415.198 * * [simplify]: Extracting #3: cost 52 inf + 0 415.198 * * [simplify]: Extracting #4: cost 135 inf + 0 415.199 * * [simplify]: Extracting #5: cost 193 inf + 534 415.200 * * [simplify]: Extracting #6: cost 233 inf + 5774 415.202 * * [simplify]: Extracting #7: cost 220 inf + 9863 415.206 * * [simplify]: Extracting #8: cost 150 inf + 21973 415.213 * * [simplify]: Extracting #9: cost 79 inf + 49177 415.231 * * [simplify]: Extracting #10: cost 10 inf + 98457 415.255 * * [simplify]: Extracting #11: cost 0 inf + 108025 415.277 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 415.277 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 415.277 * * * * [progress]: [ 1052 / 5906 ] simplifiying candidate # 415.278 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 415.278 * * [simplify]: iters left: 6 (48 enodes) 415.290 * * [simplify]: iters left: 5 (237 enodes) 415.346 * * [simplify]: Extracting #0: cost 1 inf + 0 415.346 * * [simplify]: Extracting #1: cost 3 inf + 0 415.346 * * [simplify]: Extracting #2: cost 6 inf + 0 415.346 * * [simplify]: Extracting #3: cost 54 inf + 0 415.346 * * [simplify]: Extracting #4: cost 133 inf + 0 415.347 * * [simplify]: Extracting #5: cost 190 inf + 332 415.348 * * [simplify]: Extracting #6: cost 237 inf + 4640 415.350 * * [simplify]: Extracting #7: cost 218 inf + 9869 415.354 * * [simplify]: Extracting #8: cost 144 inf + 23468 415.360 * * [simplify]: Extracting #9: cost 90 inf + 41896 415.371 * * [simplify]: Extracting #10: cost 44 inf + 65618 415.390 * * [simplify]: Extracting #11: cost 3 inf + 103182 415.414 * * [simplify]: Extracting #12: cost 0 inf + 107017 415.436 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) 415.436 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 415.436 * * * * [progress]: [ 1053 / 5906 ] simplifiying candidate # 415.437 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 415.437 * * [simplify]: iters left: 6 (42 enodes) 415.448 * * [simplify]: iters left: 5 (202 enodes) 415.494 * * [simplify]: Extracting #0: cost 1 inf + 0 415.494 * * [simplify]: Extracting #1: cost 3 inf + 0 415.494 * * [simplify]: Extracting #2: cost 6 inf + 0 415.494 * * [simplify]: Extracting #3: cost 46 inf + 0 415.494 * * [simplify]: Extracting #4: cost 101 inf + 0 415.494 * * [simplify]: Extracting #5: cost 141 inf + 168 415.495 * * [simplify]: Extracting #6: cost 206 inf + 1152 415.496 * * [simplify]: Extracting #7: cost 194 inf + 4721 415.499 * * [simplify]: Extracting #8: cost 119 inf + 20907 415.507 * * [simplify]: Extracting #9: cost 53 inf + 47956 415.523 * * [simplify]: Extracting #10: cost 10 inf + 78700 415.540 * * [simplify]: Extracting #11: cost 0 inf + 85796 415.558 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 415.558 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 415.559 * * * * [progress]: [ 1054 / 5906 ] simplifiying candidate # 415.559 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 415.560 * * [simplify]: iters left: 6 (47 enodes) 415.572 * * [simplify]: iters left: 5 (230 enodes) 415.624 * * [simplify]: Extracting #0: cost 1 inf + 0 415.624 * * [simplify]: Extracting #1: cost 3 inf + 0 415.624 * * [simplify]: Extracting #2: cost 10 inf + 0 415.624 * * [simplify]: Extracting #3: cost 62 inf + 0 415.624 * * [simplify]: Extracting #4: cost 115 inf + 42 415.624 * * [simplify]: Extracting #5: cost 160 inf + 290 415.625 * * [simplify]: Extracting #6: cost 223 inf + 2485 415.627 * * [simplify]: Extracting #7: cost 213 inf + 5888 415.630 * * [simplify]: Extracting #8: cost 129 inf + 23192 415.637 * * [simplify]: Extracting #9: cost 62 inf + 48694 415.653 * * [simplify]: Extracting #10: cost 16 inf + 83283 415.675 * * [simplify]: Extracting #11: cost 0 inf + 98292 415.695 * * [simplify]: Extracting #12: cost 0 inf + 97732 415.717 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) 415.717 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 415.718 * * * * [progress]: [ 1055 / 5906 ] simplifiying candidate # 415.718 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 415.719 * * [simplify]: iters left: 6 (42 enodes) 415.733 * * [simplify]: iters left: 5 (203 enodes) 415.777 * * [simplify]: Extracting #0: cost 1 inf + 0 415.777 * * [simplify]: Extracting #1: cost 3 inf + 0 415.777 * * [simplify]: Extracting #2: cost 10 inf + 0 415.777 * * [simplify]: Extracting #3: cost 54 inf + 0 415.777 * * [simplify]: Extracting #4: cost 94 inf + 208 415.778 * * [simplify]: Extracting #5: cost 122 inf + 1513 415.778 * * [simplify]: Extracting #6: cost 192 inf + 2689 415.779 * * [simplify]: Extracting #7: cost 189 inf + 4520 415.783 * * [simplify]: Extracting #8: cost 99 inf + 25349 415.792 * * [simplify]: Extracting #9: cost 38 inf + 55112 415.808 * * [simplify]: Extracting #10: cost 4 inf + 78244 415.824 * * [simplify]: Extracting #11: cost 1 inf + 79586 415.841 * * [simplify]: Extracting #12: cost 0 inf + 81131 415.860 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 415.860 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 415.860 * * * * [progress]: [ 1056 / 5906 ] simplifiying candidate # 415.861 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 415.861 * * [simplify]: iters left: 6 (47 enodes) 415.873 * * [simplify]: iters left: 5 (230 enodes) 415.923 * * [simplify]: Extracting #0: cost 1 inf + 0 415.923 * * [simplify]: Extracting #1: cost 3 inf + 0 415.923 * * [simplify]: Extracting #2: cost 10 inf + 0 415.923 * * [simplify]: Extracting #3: cost 62 inf + 0 415.923 * * [simplify]: Extracting #4: cost 115 inf + 42 415.923 * * [simplify]: Extracting #5: cost 159 inf + 332 415.927 * * [simplify]: Extracting #6: cost 218 inf + 3615 415.928 * * [simplify]: Extracting #7: cost 214 inf + 5807 415.931 * * [simplify]: Extracting #8: cost 129 inf + 23352 415.938 * * [simplify]: Extracting #9: cost 63 inf + 48189 415.953 * * [simplify]: Extracting #10: cost 17 inf + 82419 415.973 * * [simplify]: Extracting #11: cost 0 inf + 99092 415.993 * * [simplify]: Extracting #12: cost 0 inf + 98532 416.014 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 416.014 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 416.015 * * * * [progress]: [ 1057 / 5906 ] simplifiying candidate # 416.015 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 416.015 * * [simplify]: iters left: 6 (42 enodes) 416.029 * * [simplify]: iters left: 5 (203 enodes) 416.071 * * [simplify]: Extracting #0: cost 1 inf + 0 416.071 * * [simplify]: Extracting #1: cost 3 inf + 0 416.071 * * [simplify]: Extracting #2: cost 10 inf + 0 416.071 * * [simplify]: Extracting #3: cost 53 inf + 0 416.071 * * [simplify]: Extracting #4: cost 95 inf + 86 416.072 * * [simplify]: Extracting #5: cost 123 inf + 1310 416.073 * * [simplify]: Extracting #6: cost 190 inf + 2932 416.074 * * [simplify]: Extracting #7: cost 190 inf + 4438 416.076 * * [simplify]: Extracting #8: cost 126 inf + 15368 416.081 * * [simplify]: Extracting #9: cost 79 inf + 33327 416.092 * * [simplify]: Extracting #10: cost 26 inf + 59723 416.109 * * [simplify]: Extracting #11: cost 2 inf + 79761 416.126 * * [simplify]: Extracting #12: cost 0 inf + 81451 416.143 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 416.143 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 416.144 * * * * [progress]: [ 1058 / 5906 ] simplifiying candidate # 416.144 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 416.144 * * [simplify]: iters left: 6 (51 enodes) 416.157 * * [simplify]: iters left: 5 (256 enodes) 416.217 * * [simplify]: Extracting #0: cost 1 inf + 0 416.217 * * [simplify]: Extracting #1: cost 3 inf + 0 416.217 * * [simplify]: Extracting #2: cost 6 inf + 0 416.217 * * [simplify]: Extracting #3: cost 56 inf + 0 416.217 * * [simplify]: Extracting #4: cost 130 inf + 0 416.218 * * [simplify]: Extracting #5: cost 214 inf + 0 416.219 * * [simplify]: Extracting #6: cost 304 inf + 551 416.220 * * [simplify]: Extracting #7: cost 264 inf + 8128 416.224 * * [simplify]: Extracting #8: cost 170 inf + 28309 416.231 * * [simplify]: Extracting #9: cost 109 inf + 46230 416.244 * * [simplify]: Extracting #10: cost 53 inf + 73629 416.267 * * [simplify]: Extracting #11: cost 10 inf + 112460 416.291 * * [simplify]: Extracting #12: cost 1 inf + 124285 416.317 * * [simplify]: Extracting #13: cost 0 inf + 126310 416.344 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 416.344 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 416.346 * * * * [progress]: [ 1059 / 5906 ] simplifiying candidate # 416.346 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 416.346 * * [simplify]: iters left: 6 (52 enodes) 416.360 * * [simplify]: iters left: 5 (265 enodes) 416.420 * * [simplify]: Extracting #0: cost 1 inf + 0 416.421 * * [simplify]: Extracting #1: cost 3 inf + 0 416.421 * * [simplify]: Extracting #2: cost 6 inf + 0 416.421 * * [simplify]: Extracting #3: cost 60 inf + 0 416.421 * * [simplify]: Extracting #4: cost 153 inf + 0 416.421 * * [simplify]: Extracting #5: cost 226 inf + 127 416.423 * * [simplify]: Extracting #6: cost 282 inf + 4359 416.425 * * [simplify]: Extracting #7: cost 248 inf + 10604 416.430 * * [simplify]: Extracting #8: cost 160 inf + 33509 416.443 * * [simplify]: Extracting #9: cost 86 inf + 63690 416.457 * * [simplify]: Extracting #10: cost 47 inf + 82232 416.479 * * [simplify]: Extracting #11: cost 9 inf + 116782 416.505 * * [simplify]: Extracting #12: cost 0 inf + 129087 416.531 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 416.531 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 416.532 * * * * [progress]: [ 1060 / 5906 ] simplifiying candidate # 416.532 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 416.532 * * [simplify]: iters left: 6 (52 enodes) 416.547 * * [simplify]: iters left: 5 (265 enodes) 416.609 * * [simplify]: Extracting #0: cost 1 inf + 0 416.609 * * [simplify]: Extracting #1: cost 3 inf + 0 416.609 * * [simplify]: Extracting #2: cost 6 inf + 0 416.609 * * [simplify]: Extracting #3: cost 62 inf + 0 416.609 * * [simplify]: Extracting #4: cost 151 inf + 0 416.610 * * [simplify]: Extracting #5: cost 223 inf + 85 416.611 * * [simplify]: Extracting #6: cost 287 inf + 2902 416.613 * * [simplify]: Extracting #7: cost 252 inf + 9786 416.617 * * [simplify]: Extracting #8: cost 175 inf + 25746 416.626 * * [simplify]: Extracting #9: cost 102 inf + 54185 416.643 * * [simplify]: Extracting #10: cost 29 inf + 94354 416.668 * * [simplify]: Extracting #11: cost 3 inf + 120684 416.694 * * [simplify]: Extracting #12: cost 0 inf + 127079 416.721 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)))) 416.721 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 416.722 * * * * [progress]: [ 1061 / 5906 ] simplifiying candidate # 416.722 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 416.722 * * [simplify]: iters left: 6 (46 enodes) 416.734 * * [simplify]: iters left: 5 (229 enodes) 416.786 * * [simplify]: Extracting #0: cost 1 inf + 0 416.786 * * [simplify]: Extracting #1: cost 3 inf + 0 416.786 * * [simplify]: Extracting #2: cost 6 inf + 0 416.786 * * [simplify]: Extracting #3: cost 54 inf + 0 416.786 * * [simplify]: Extracting #4: cost 119 inf + 0 416.786 * * [simplify]: Extracting #5: cost 170 inf + 167 416.787 * * [simplify]: Extracting #6: cost 242 inf + 1962 416.789 * * [simplify]: Extracting #7: cost 232 inf + 4680 416.793 * * [simplify]: Extracting #8: cost 130 inf + 27791 416.803 * * [simplify]: Extracting #9: cost 57 inf + 59258 416.821 * * [simplify]: Extracting #10: cost 9 inf + 96063 416.842 * * [simplify]: Extracting #11: cost 0 inf + 104178 416.863 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 416.863 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 416.864 * * * * [progress]: [ 1062 / 5906 ] simplifiying candidate # 416.864 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 416.864 * * [simplify]: iters left: 6 (51 enodes) 416.879 * * [simplify]: iters left: 5 (257 enodes) 416.936 * * [simplify]: Extracting #0: cost 1 inf + 0 416.936 * * [simplify]: Extracting #1: cost 3 inf + 0 416.936 * * [simplify]: Extracting #2: cost 10 inf + 0 416.936 * * [simplify]: Extracting #3: cost 74 inf + 0 416.936 * * [simplify]: Extracting #4: cost 136 inf + 42 416.937 * * [simplify]: Extracting #5: cost 193 inf + 249 416.938 * * [simplify]: Extracting #6: cost 269 inf + 2164 416.939 * * [simplify]: Extracting #7: cost 248 inf + 6982 416.944 * * [simplify]: Extracting #8: cost 181 inf + 19121 416.950 * * [simplify]: Extracting #9: cost 116 inf + 38334 416.962 * * [simplify]: Extracting #10: cost 47 inf + 73831 416.986 * * [simplify]: Extracting #11: cost 3 inf + 113754 417.010 * * [simplify]: Extracting #12: cost 1 inf + 117764 417.035 * * [simplify]: Extracting #13: cost 0 inf + 119789 417.061 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 417.061 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 417.061 * * * * [progress]: [ 1063 / 5906 ] simplifiying candidate # 417.062 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 417.062 * * [simplify]: iters left: 6 (46 enodes) 417.074 * * [simplify]: iters left: 5 (229 enodes) 417.123 * * [simplify]: Extracting #0: cost 1 inf + 0 417.123 * * [simplify]: Extracting #1: cost 3 inf + 0 417.123 * * [simplify]: Extracting #2: cost 10 inf + 0 417.123 * * [simplify]: Extracting #3: cost 66 inf + 0 417.125 * * [simplify]: Extracting #4: cost 117 inf + 44 417.126 * * [simplify]: Extracting #5: cost 161 inf + 618 417.127 * * [simplify]: Extracting #6: cost 238 inf + 2244 417.128 * * [simplify]: Extracting #7: cost 234 inf + 4312 417.131 * * [simplify]: Extracting #8: cost 155 inf + 18036 417.137 * * [simplify]: Extracting #9: cost 105 inf + 37074 417.148 * * [simplify]: Extracting #10: cost 43 inf + 67815 417.166 * * [simplify]: Extracting #11: cost 8 inf + 91948 417.187 * * [simplify]: Extracting #12: cost 0 inf + 101228 417.208 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 417.209 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 417.209 * * * * [progress]: [ 1064 / 5906 ] simplifiying candidate # 417.209 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 417.210 * * [simplify]: iters left: 6 (51 enodes) 417.224 * * [simplify]: iters left: 5 (257 enodes) 417.284 * * [simplify]: Extracting #0: cost 1 inf + 0 417.284 * * [simplify]: Extracting #1: cost 3 inf + 0 417.284 * * [simplify]: Extracting #2: cost 10 inf + 0 417.284 * * [simplify]: Extracting #3: cost 74 inf + 0 417.284 * * [simplify]: Extracting #4: cost 136 inf + 42 417.285 * * [simplify]: Extracting #5: cost 193 inf + 248 417.286 * * [simplify]: Extracting #6: cost 271 inf + 1838 417.287 * * [simplify]: Extracting #7: cost 243 inf + 8432 417.292 * * [simplify]: Extracting #8: cost 183 inf + 18797 417.298 * * [simplify]: Extracting #9: cost 122 inf + 36080 417.310 * * [simplify]: Extracting #10: cost 45 inf + 75660 417.332 * * [simplify]: Extracting #11: cost 3 inf + 114714 417.357 * * [simplify]: Extracting #12: cost 1 inf + 118724 417.382 * * [simplify]: Extracting #13: cost 0 inf + 120749 417.408 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 417.408 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 417.409 * * * * [progress]: [ 1065 / 5906 ] simplifiying candidate # 417.409 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 417.409 * * [simplify]: iters left: 6 (46 enodes) 417.421 * * [simplify]: iters left: 5 (229 enodes) 417.472 * * [simplify]: Extracting #0: cost 1 inf + 0 417.472 * * [simplify]: Extracting #1: cost 3 inf + 0 417.472 * * [simplify]: Extracting #2: cost 10 inf + 0 417.472 * * [simplify]: Extracting #3: cost 65 inf + 0 417.472 * * [simplify]: Extracting #4: cost 117 inf + 44 417.473 * * [simplify]: Extracting #5: cost 155 inf + 1350 417.474 * * [simplify]: Extracting #6: cost 234 inf + 2932 417.475 * * [simplify]: Extracting #7: cost 229 inf + 5081 417.478 * * [simplify]: Extracting #8: cost 154 inf + 19200 417.485 * * [simplify]: Extracting #9: cost 94 inf + 46053 417.498 * * [simplify]: Extracting #10: cost 39 inf + 68932 417.516 * * [simplify]: Extracting #11: cost 7 inf + 93013 417.537 * * [simplify]: Extracting #12: cost 0 inf + 101628 417.558 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 417.559 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 417.559 * * * * [progress]: [ 1066 / 5906 ] simplifiying candidate # 417.560 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 417.560 * * [simplify]: iters left: 6 (52 enodes) 417.576 * * [simplify]: iters left: 5 (253 enodes) 417.632 * * [simplify]: Extracting #0: cost 1 inf + 0 417.632 * * [simplify]: Extracting #1: cost 3 inf + 0 417.632 * * [simplify]: Extracting #2: cost 6 inf + 0 417.632 * * [simplify]: Extracting #3: cost 56 inf + 0 417.632 * * [simplify]: Extracting #4: cost 130 inf + 0 417.633 * * [simplify]: Extracting #5: cost 216 inf + 0 417.633 * * [simplify]: Extracting #6: cost 306 inf + 298 417.634 * * [simplify]: Extracting #7: cost 276 inf + 4183 417.640 * * [simplify]: Extracting #8: cost 180 inf + 24506 417.648 * * [simplify]: Extracting #9: cost 104 inf + 48076 417.659 * * [simplify]: Extracting #10: cost 53 inf + 72165 417.679 * * [simplify]: Extracting #11: cost 14 inf + 112098 417.704 * * [simplify]: Extracting #12: cost 0 inf + 130648 417.729 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 417.729 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 417.730 * * * * [progress]: [ 1067 / 5906 ] simplifiying candidate # 417.730 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 417.731 * * [simplify]: iters left: 6 (53 enodes) 417.745 * * [simplify]: iters left: 5 (262 enodes) 417.805 * * [simplify]: Extracting #0: cost 1 inf + 0 417.805 * * [simplify]: Extracting #1: cost 3 inf + 0 417.805 * * [simplify]: Extracting #2: cost 6 inf + 0 417.805 * * [simplify]: Extracting #3: cost 60 inf + 0 417.805 * * [simplify]: Extracting #4: cost 153 inf + 0 417.806 * * [simplify]: Extracting #5: cost 230 inf + 44 417.807 * * [simplify]: Extracting #6: cost 287 inf + 3591 417.810 * * [simplify]: Extracting #7: cost 216 inf + 16340 417.815 * * [simplify]: Extracting #8: cost 152 inf + 32021 417.824 * * [simplify]: Extracting #9: cost 101 inf + 53370 417.844 * * [simplify]: Extracting #10: cost 13 inf + 118620 417.870 * * [simplify]: Extracting #11: cost 0 inf + 132305 417.899 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 417.899 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 417.900 * * * * [progress]: [ 1068 / 5906 ] simplifiying candidate # 417.900 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 417.900 * * [simplify]: iters left: 6 (53 enodes) 417.914 * * [simplify]: iters left: 5 (262 enodes) 417.973 * * [simplify]: Extracting #0: cost 1 inf + 0 417.974 * * [simplify]: Extracting #1: cost 3 inf + 0 417.974 * * [simplify]: Extracting #2: cost 6 inf + 0 417.974 * * [simplify]: Extracting #3: cost 62 inf + 0 417.974 * * [simplify]: Extracting #4: cost 151 inf + 0 417.974 * * [simplify]: Extracting #5: cost 226 inf + 44 417.976 * * [simplify]: Extracting #6: cost 283 inf + 3791 417.978 * * [simplify]: Extracting #7: cost 221 inf + 16047 417.984 * * [simplify]: Extracting #8: cost 130 inf + 40763 417.996 * * [simplify]: Extracting #9: cost 58 inf + 72322 418.016 * * [simplify]: Extracting #10: cost 10 inf + 117087 418.041 * * [simplify]: Extracting #11: cost 0 inf + 130217 418.067 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 418.067 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 418.068 * * * * [progress]: [ 1069 / 5906 ] simplifiying candidate # 418.068 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 418.069 * * [simplify]: iters left: 6 (47 enodes) 418.080 * * [simplify]: iters left: 5 (226 enodes) 418.128 * * [simplify]: Extracting #0: cost 1 inf + 0 418.128 * * [simplify]: Extracting #1: cost 3 inf + 0 418.128 * * [simplify]: Extracting #2: cost 6 inf + 0 418.128 * * [simplify]: Extracting #3: cost 54 inf + 0 418.129 * * [simplify]: Extracting #4: cost 119 inf + 0 418.129 * * [simplify]: Extracting #5: cost 174 inf + 44 418.130 * * [simplify]: Extracting #6: cost 248 inf + 1151 418.131 * * [simplify]: Extracting #7: cost 230 inf + 4037 418.136 * * [simplify]: Extracting #8: cost 151 inf + 20959 418.144 * * [simplify]: Extracting #9: cost 76 inf + 47021 418.159 * * [simplify]: Extracting #10: cost 11 inf + 94126 418.180 * * [simplify]: Extracting #11: cost 1 inf + 104811 418.201 * * [simplify]: Extracting #12: cost 0 inf + 106716 418.224 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 418.224 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 418.224 * * * * [progress]: [ 1070 / 5906 ] simplifiying candidate # 418.225 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 418.225 * * [simplify]: iters left: 6 (52 enodes) 418.239 * * [simplify]: iters left: 5 (254 enodes) 418.295 * * [simplify]: Extracting #0: cost 1 inf + 0 418.295 * * [simplify]: Extracting #1: cost 3 inf + 0 418.295 * * [simplify]: Extracting #2: cost 10 inf + 0 418.295 * * [simplify]: Extracting #3: cost 74 inf + 0 418.295 * * [simplify]: Extracting #4: cost 137 inf + 1 418.295 * * [simplify]: Extracting #5: cost 196 inf + 207 418.297 * * [simplify]: Extracting #6: cost 264 inf + 3171 418.299 * * [simplify]: Extracting #7: cost 199 inf + 17049 418.306 * * [simplify]: Extracting #8: cost 147 inf + 30612 418.315 * * [simplify]: Extracting #9: cost 100 inf + 52086 418.326 * * [simplify]: Extracting #10: cost 53 inf + 70562 418.345 * * [simplify]: Extracting #11: cost 8 inf + 112607 418.370 * * [simplify]: Extracting #12: cost 1 inf + 122182 418.396 * * [simplify]: Extracting #13: cost 0 inf + 124287 418.422 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 418.422 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 418.423 * * * * [progress]: [ 1071 / 5906 ] simplifiying candidate # 418.423 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 418.423 * * [simplify]: iters left: 6 (47 enodes) 418.435 * * [simplify]: iters left: 5 (226 enodes) 418.484 * * [simplify]: Extracting #0: cost 1 inf + 0 418.484 * * [simplify]: Extracting #1: cost 3 inf + 0 418.484 * * [simplify]: Extracting #2: cost 10 inf + 0 418.484 * * [simplify]: Extracting #3: cost 66 inf + 0 418.484 * * [simplify]: Extracting #4: cost 117 inf + 44 418.485 * * [simplify]: Extracting #5: cost 160 inf + 1104 418.486 * * [simplify]: Extracting #6: cost 234 inf + 2972 418.487 * * [simplify]: Extracting #7: cost 229 inf + 4075 418.491 * * [simplify]: Extracting #8: cost 133 inf + 28106 418.501 * * [simplify]: Extracting #9: cost 58 inf + 59603 418.519 * * [simplify]: Extracting #10: cost 5 inf + 97467 418.539 * * [simplify]: Extracting #11: cost 0 inf + 102686 418.559 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 418.559 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 418.559 * * * * [progress]: [ 1072 / 5906 ] simplifiying candidate # 418.560 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 418.560 * * [simplify]: iters left: 6 (52 enodes) 418.574 * * [simplify]: iters left: 5 (254 enodes) 418.629 * * [simplify]: Extracting #0: cost 1 inf + 0 418.630 * * [simplify]: Extracting #1: cost 3 inf + 0 418.630 * * [simplify]: Extracting #2: cost 10 inf + 0 418.630 * * [simplify]: Extracting #3: cost 74 inf + 0 418.630 * * [simplify]: Extracting #4: cost 137 inf + 1 418.630 * * [simplify]: Extracting #5: cost 196 inf + 207 418.631 * * [simplify]: Extracting #6: cost 264 inf + 3572 418.633 * * [simplify]: Extracting #7: cost 233 inf + 8893 418.636 * * [simplify]: Extracting #8: cost 180 inf + 19740 418.644 * * [simplify]: Extracting #9: cost 119 inf + 37502 418.654 * * [simplify]: Extracting #10: cost 58 inf + 67024 418.674 * * [simplify]: Extracting #11: cost 8 inf + 113567 418.699 * * [simplify]: Extracting #12: cost 1 inf + 123142 418.724 * * [simplify]: Extracting #13: cost 0 inf + 125247 418.750 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 418.750 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 418.751 * * * * [progress]: [ 1073 / 5906 ] simplifiying candidate # 418.751 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 418.752 * * [simplify]: iters left: 6 (47 enodes) 418.763 * * [simplify]: iters left: 5 (226 enodes) 418.812 * * [simplify]: Extracting #0: cost 1 inf + 0 418.812 * * [simplify]: Extracting #1: cost 3 inf + 0 418.812 * * [simplify]: Extracting #2: cost 10 inf + 0 418.812 * * [simplify]: Extracting #3: cost 65 inf + 0 418.812 * * [simplify]: Extracting #4: cost 116 inf + 86 418.813 * * [simplify]: Extracting #5: cost 155 inf + 1634 418.814 * * [simplify]: Extracting #6: cost 234 inf + 2932 418.816 * * [simplify]: Extracting #7: cost 228 inf + 4115 418.822 * * [simplify]: Extracting #8: cost 134 inf + 27818 418.832 * * [simplify]: Extracting #9: cost 57 inf + 60729 418.849 * * [simplify]: Extracting #10: cost 6 inf + 97935 418.869 * * [simplify]: Extracting #11: cost 0 inf + 103326 418.889 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 418.889 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 418.889 * * * * [progress]: [ 1074 / 5906 ] simplifiying candidate # 418.890 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 418.890 * * [simplify]: iters left: 6 (52 enodes) 418.903 * * [simplify]: iters left: 5 (254 enodes) 418.960 * * [simplify]: Extracting #0: cost 1 inf + 0 418.960 * * [simplify]: Extracting #1: cost 3 inf + 0 418.960 * * [simplify]: Extracting #2: cost 6 inf + 0 418.960 * * [simplify]: Extracting #3: cost 56 inf + 0 418.960 * * [simplify]: Extracting #4: cost 130 inf + 0 418.961 * * [simplify]: Extracting #5: cost 211 inf + 0 418.962 * * [simplify]: Extracting #6: cost 300 inf + 342 418.963 * * [simplify]: Extracting #7: cost 240 inf + 11618 418.968 * * [simplify]: Extracting #8: cost 162 inf + 27640 418.975 * * [simplify]: Extracting #9: cost 106 inf + 48019 418.990 * * [simplify]: Extracting #10: cost 42 inf + 81109 419.012 * * [simplify]: Extracting #11: cost 6 inf + 122028 419.037 * * [simplify]: Extracting #12: cost 0 inf + 130738 419.062 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 419.063 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 419.063 * * * * [progress]: [ 1075 / 5906 ] simplifiying candidate # 419.063 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 419.064 * * [simplify]: iters left: 6 (53 enodes) 419.079 * * [simplify]: iters left: 5 (263 enodes) 419.138 * * [simplify]: Extracting #0: cost 1 inf + 0 419.138 * * [simplify]: Extracting #1: cost 3 inf + 0 419.138 * * [simplify]: Extracting #2: cost 6 inf + 0 419.138 * * [simplify]: Extracting #3: cost 60 inf + 0 419.138 * * [simplify]: Extracting #4: cost 153 inf + 0 419.139 * * [simplify]: Extracting #5: cost 224 inf + 85 419.140 * * [simplify]: Extracting #6: cost 272 inf + 4650 419.143 * * [simplify]: Extracting #7: cost 237 inf + 12034 419.147 * * [simplify]: Extracting #8: cost 168 inf + 27514 419.158 * * [simplify]: Extracting #9: cost 102 inf + 56891 419.172 * * [simplify]: Extracting #10: cost 45 inf + 83590 419.192 * * [simplify]: Extracting #11: cost 12 inf + 117135 419.217 * * [simplify]: Extracting #12: cost 0 inf + 131995 419.242 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 419.242 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 419.243 * * * * [progress]: [ 1076 / 5906 ] simplifiying candidate # 419.243 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 419.244 * * [simplify]: iters left: 6 (53 enodes) 419.258 * * [simplify]: iters left: 5 (263 enodes) 419.320 * * [simplify]: Extracting #0: cost 1 inf + 0 419.320 * * [simplify]: Extracting #1: cost 3 inf + 0 419.320 * * [simplify]: Extracting #2: cost 6 inf + 0 419.320 * * [simplify]: Extracting #3: cost 62 inf + 0 419.321 * * [simplify]: Extracting #4: cost 151 inf + 0 419.321 * * [simplify]: Extracting #5: cost 220 inf + 86 419.322 * * [simplify]: Extracting #6: cost 276 inf + 3756 419.325 * * [simplify]: Extracting #7: cost 239 inf + 12032 419.330 * * [simplify]: Extracting #8: cost 154 inf + 30670 419.340 * * [simplify]: Extracting #9: cost 71 inf + 63942 419.360 * * [simplify]: Extracting #10: cost 18 inf + 111581 419.387 * * [simplify]: Extracting #11: cost 0 inf + 130827 419.413 * * [simplify]: Extracting #12: cost 0 inf + 130747 419.438 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 419.438 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 419.438 * * * * [progress]: [ 1077 / 5906 ] simplifiying candidate # 419.439 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 419.439 * * [simplify]: iters left: 6 (47 enodes) 419.451 * * [simplify]: iters left: 5 (227 enodes) 419.501 * * [simplify]: Extracting #0: cost 1 inf + 0 419.501 * * [simplify]: Extracting #1: cost 3 inf + 0 419.501 * * [simplify]: Extracting #2: cost 6 inf + 0 419.501 * * [simplify]: Extracting #3: cost 54 inf + 0 419.501 * * [simplify]: Extracting #4: cost 119 inf + 0 419.502 * * [simplify]: Extracting #5: cost 169 inf + 44 419.502 * * [simplify]: Extracting #6: cost 239 inf + 1359 419.504 * * [simplify]: Extracting #7: cost 195 inf + 9793 419.508 * * [simplify]: Extracting #8: cost 144 inf + 21906 419.515 * * [simplify]: Extracting #9: cost 96 inf + 44202 419.525 * * [simplify]: Extracting #10: cost 42 inf + 65049 419.542 * * [simplify]: Extracting #11: cost 6 inf + 97696 419.561 * * [simplify]: Extracting #12: cost 1 inf + 104701 419.584 * * [simplify]: Extracting #13: cost 0 inf + 106566 419.604 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 419.605 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 419.605 * * * * [progress]: [ 1078 / 5906 ] simplifiying candidate # 419.605 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 419.606 * * [simplify]: iters left: 6 (52 enodes) 419.619 * * [simplify]: iters left: 5 (255 enodes) 419.676 * * [simplify]: Extracting #0: cost 1 inf + 0 419.676 * * [simplify]: Extracting #1: cost 3 inf + 0 419.676 * * [simplify]: Extracting #2: cost 10 inf + 0 419.676 * * [simplify]: Extracting #3: cost 74 inf + 0 419.677 * * [simplify]: Extracting #4: cost 137 inf + 1 419.677 * * [simplify]: Extracting #5: cost 191 inf + 207 419.678 * * [simplify]: Extracting #6: cost 252 inf + 4032 419.681 * * [simplify]: Extracting #7: cost 213 inf + 13419 419.686 * * [simplify]: Extracting #8: cost 151 inf + 29092 419.695 * * [simplify]: Extracting #9: cost 90 inf + 53897 419.708 * * [simplify]: Extracting #10: cost 45 inf + 77294 419.727 * * [simplify]: Extracting #11: cost 7 inf + 111922 419.752 * * [simplify]: Extracting #12: cost 1 inf + 120512 419.776 * * [simplify]: Extracting #13: cost 0 inf + 122537 419.800 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 419.800 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 419.801 * * * * [progress]: [ 1079 / 5906 ] simplifiying candidate # 419.801 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 419.802 * * [simplify]: iters left: 6 (47 enodes) 419.813 * * [simplify]: iters left: 5 (227 enodes) 419.862 * * [simplify]: Extracting #0: cost 1 inf + 0 419.862 * * [simplify]: Extracting #1: cost 3 inf + 0 419.862 * * [simplify]: Extracting #2: cost 10 inf + 0 419.862 * * [simplify]: Extracting #3: cost 66 inf + 0 419.863 * * [simplify]: Extracting #4: cost 117 inf + 44 419.863 * * [simplify]: Extracting #5: cost 155 inf + 984 419.864 * * [simplify]: Extracting #6: cost 228 inf + 2976 419.866 * * [simplify]: Extracting #7: cost 197 inf + 8867 419.871 * * [simplify]: Extracting #8: cost 107 inf + 37577 419.881 * * [simplify]: Extracting #9: cost 51 inf + 61980 419.897 * * [simplify]: Extracting #10: cost 4 inf + 96516 419.919 * * [simplify]: Extracting #11: cost 1 inf + 101911 419.938 * * [simplify]: Extracting #12: cost 0 inf + 103736 419.958 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 419.958 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 419.959 * * * * [progress]: [ 1080 / 5906 ] simplifiying candidate # 419.959 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 419.959 * * [simplify]: iters left: 6 (52 enodes) 419.972 * * [simplify]: iters left: 5 (255 enodes) 420.031 * * [simplify]: Extracting #0: cost 1 inf + 0 420.031 * * [simplify]: Extracting #1: cost 3 inf + 0 420.031 * * [simplify]: Extracting #2: cost 10 inf + 0 420.031 * * [simplify]: Extracting #3: cost 74 inf + 0 420.031 * * [simplify]: Extracting #4: cost 137 inf + 1 420.032 * * [simplify]: Extracting #5: cost 191 inf + 207 420.033 * * [simplify]: Extracting #6: cost 256 inf + 2782 420.035 * * [simplify]: Extracting #7: cost 218 inf + 12209 420.040 * * [simplify]: Extracting #8: cost 148 inf + 30992 420.049 * * [simplify]: Extracting #9: cost 90 inf + 55338 420.061 * * [simplify]: Extracting #10: cost 45 inf + 78254 420.080 * * [simplify]: Extracting #11: cost 7 inf + 112882 420.106 * * [simplify]: Extracting #12: cost 1 inf + 121472 420.130 * * [simplify]: Extracting #13: cost 0 inf + 123497 420.154 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 420.154 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 420.155 * * * * [progress]: [ 1081 / 5906 ] simplifiying candidate # 420.155 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 420.156 * * [simplify]: iters left: 6 (47 enodes) 420.167 * * [simplify]: iters left: 5 (227 enodes) 420.215 * * [simplify]: Extracting #0: cost 1 inf + 0 420.215 * * [simplify]: Extracting #1: cost 3 inf + 0 420.215 * * [simplify]: Extracting #2: cost 10 inf + 0 420.216 * * [simplify]: Extracting #3: cost 65 inf + 0 420.216 * * [simplify]: Extracting #4: cost 116 inf + 86 420.216 * * [simplify]: Extracting #5: cost 151 inf + 1472 420.217 * * [simplify]: Extracting #6: cost 228 inf + 2976 420.219 * * [simplify]: Extracting #7: cost 199 inf + 8541 420.225 * * [simplify]: Extracting #8: cost 107 inf + 37817 420.235 * * [simplify]: Extracting #9: cost 51 inf + 62380 420.251 * * [simplify]: Extracting #10: cost 5 inf + 96704 420.272 * * [simplify]: Extracting #11: cost 1 inf + 102311 420.292 * * [simplify]: Extracting #12: cost 0 inf + 104136 420.313 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 420.313 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 420.313 * * * * [progress]: [ 1082 / 5906 ] simplifiying candidate # 420.314 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 420.314 * * [simplify]: iters left: 6 (52 enodes) 420.327 * * [simplify]: iters left: 5 (254 enodes) 420.384 * * [simplify]: Extracting #0: cost 1 inf + 0 420.384 * * [simplify]: Extracting #1: cost 3 inf + 0 420.384 * * [simplify]: Extracting #2: cost 6 inf + 0 420.385 * * [simplify]: Extracting #3: cost 56 inf + 0 420.385 * * [simplify]: Extracting #4: cost 130 inf + 0 420.385 * * [simplify]: Extracting #5: cost 215 inf + 0 420.386 * * [simplify]: Extracting #6: cost 305 inf + 510 420.388 * * [simplify]: Extracting #7: cost 248 inf + 12287 420.392 * * [simplify]: Extracting #8: cost 161 inf + 30344 420.400 * * [simplify]: Extracting #9: cost 102 inf + 51227 420.414 * * [simplify]: Extracting #10: cost 41 inf + 83105 420.438 * * [simplify]: Extracting #11: cost 6 inf + 121378 420.462 * * [simplify]: Extracting #12: cost 1 inf + 127503 420.486 * * [simplify]: Extracting #13: cost 0 inf + 129568 420.511 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 420.511 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 420.512 * * * * [progress]: [ 1083 / 5906 ] simplifiying candidate # 420.512 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 420.513 * * [simplify]: iters left: 6 (53 enodes) 420.527 * * [simplify]: iters left: 5 (263 enodes) 420.585 * * [simplify]: Extracting #0: cost 1 inf + 0 420.585 * * [simplify]: Extracting #1: cost 3 inf + 0 420.585 * * [simplify]: Extracting #2: cost 6 inf + 0 420.585 * * [simplify]: Extracting #3: cost 60 inf + 0 420.585 * * [simplify]: Extracting #4: cost 153 inf + 0 420.586 * * [simplify]: Extracting #5: cost 228 inf + 85 420.587 * * [simplify]: Extracting #6: cost 281 inf + 4321 420.592 * * [simplify]: Extracting #7: cost 242 inf + 11166 420.596 * * [simplify]: Extracting #8: cost 177 inf + 24312 420.603 * * [simplify]: Extracting #9: cost 105 inf + 52479 420.617 * * [simplify]: Extracting #10: cost 51 inf + 78236 420.639 * * [simplify]: Extracting #11: cost 10 inf + 121535 420.665 * * [simplify]: Extracting #12: cost 0 inf + 134105 420.692 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 420.692 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 420.692 * * * * [progress]: [ 1084 / 5906 ] simplifiying candidate # 420.693 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 420.693 * * [simplify]: iters left: 6 (53 enodes) 420.706 * * [simplify]: iters left: 5 (263 enodes) 420.767 * * [simplify]: Extracting #0: cost 1 inf + 0 420.767 * * [simplify]: Extracting #1: cost 3 inf + 0 420.767 * * [simplify]: Extracting #2: cost 6 inf + 0 420.767 * * [simplify]: Extracting #3: cost 62 inf + 0 420.767 * * [simplify]: Extracting #4: cost 151 inf + 0 420.768 * * [simplify]: Extracting #5: cost 224 inf + 86 420.769 * * [simplify]: Extracting #6: cost 282 inf + 4352 420.772 * * [simplify]: Extracting #7: cost 233 inf + 12316 420.778 * * [simplify]: Extracting #8: cost 132 inf + 44146 420.791 * * [simplify]: Extracting #9: cost 50 inf + 78072 420.810 * * [simplify]: Extracting #10: cost 13 inf + 114132 420.835 * * [simplify]: Extracting #11: cost 0 inf + 128857 420.861 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 420.862 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 420.862 * * * * [progress]: [ 1085 / 5906 ] simplifiying candidate # 420.862 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 420.863 * * [simplify]: iters left: 6 (47 enodes) 420.875 * * [simplify]: iters left: 5 (227 enodes) 420.927 * * [simplify]: Extracting #0: cost 1 inf + 0 420.928 * * [simplify]: Extracting #1: cost 3 inf + 0 420.928 * * [simplify]: Extracting #2: cost 6 inf + 0 420.928 * * [simplify]: Extracting #3: cost 54 inf + 0 420.928 * * [simplify]: Extracting #4: cost 119 inf + 0 420.928 * * [simplify]: Extracting #5: cost 173 inf + 44 420.929 * * [simplify]: Extracting #6: cost 246 inf + 1234 420.931 * * [simplify]: Extracting #7: cost 228 inf + 4561 420.933 * * [simplify]: Extracting #8: cost 171 inf + 14080 420.938 * * [simplify]: Extracting #9: cost 107 inf + 35182 420.949 * * [simplify]: Extracting #10: cost 47 inf + 62266 420.965 * * [simplify]: Extracting #11: cost 7 inf + 96981 420.986 * * [simplify]: Extracting #12: cost 1 inf + 105131 421.007 * * [simplify]: Extracting #13: cost 0 inf + 107036 421.030 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 421.030 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 421.030 * * * * [progress]: [ 1086 / 5906 ] simplifiying candidate # 421.031 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 421.031 * * [simplify]: iters left: 6 (52 enodes) 421.044 * * [simplify]: iters left: 5 (255 enodes) 421.101 * * [simplify]: Extracting #0: cost 1 inf + 0 421.101 * * [simplify]: Extracting #1: cost 3 inf + 0 421.101 * * [simplify]: Extracting #2: cost 10 inf + 0 421.101 * * [simplify]: Extracting #3: cost 74 inf + 0 421.101 * * [simplify]: Extracting #4: cost 137 inf + 1 421.102 * * [simplify]: Extracting #5: cost 195 inf + 207 421.103 * * [simplify]: Extracting #6: cost 264 inf + 3373 421.104 * * [simplify]: Extracting #7: cost 250 inf + 5810 421.107 * * [simplify]: Extracting #8: cost 175 inf + 20453 421.114 * * [simplify]: Extracting #9: cost 109 inf + 41619 421.125 * * [simplify]: Extracting #10: cost 52 inf + 70909 421.144 * * [simplify]: Extracting #11: cost 7 inf + 112672 421.167 * * [simplify]: Extracting #12: cost 1 inf + 119902 421.193 * * [simplify]: Extracting #13: cost 0 inf + 121927 421.218 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 421.218 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 421.219 * * * * [progress]: [ 1087 / 5906 ] simplifiying candidate # 421.219 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 421.220 * * [simplify]: iters left: 6 (47 enodes) 421.232 * * [simplify]: iters left: 5 (227 enodes) 421.281 * * [simplify]: Extracting #0: cost 1 inf + 0 421.281 * * [simplify]: Extracting #1: cost 3 inf + 0 421.282 * * [simplify]: Extracting #2: cost 10 inf + 0 421.282 * * [simplify]: Extracting #3: cost 66 inf + 0 421.282 * * [simplify]: Extracting #4: cost 117 inf + 44 421.282 * * [simplify]: Extracting #5: cost 160 inf + 862 421.283 * * [simplify]: Extracting #6: cost 234 inf + 2932 421.285 * * [simplify]: Extracting #7: cost 223 inf + 5164 421.288 * * [simplify]: Extracting #8: cost 136 inf + 25290 421.298 * * [simplify]: Extracting #9: cost 59 inf + 60664 421.315 * * [simplify]: Extracting #10: cost 6 inf + 96522 421.335 * * [simplify]: Extracting #11: cost 1 inf + 100941 421.355 * * [simplify]: Extracting #12: cost 0 inf + 102766 421.377 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) 421.377 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 421.378 * * * * [progress]: [ 1088 / 5906 ] simplifiying candidate # 421.378 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 421.378 * * [simplify]: iters left: 6 (52 enodes) 421.391 * * [simplify]: iters left: 5 (255 enodes) 421.450 * * [simplify]: Extracting #0: cost 1 inf + 0 421.450 * * [simplify]: Extracting #1: cost 3 inf + 0 421.450 * * [simplify]: Extracting #2: cost 10 inf + 0 421.450 * * [simplify]: Extracting #3: cost 74 inf + 0 421.450 * * [simplify]: Extracting #4: cost 137 inf + 1 421.451 * * [simplify]: Extracting #5: cost 195 inf + 207 421.452 * * [simplify]: Extracting #6: cost 268 inf + 2084 421.453 * * [simplify]: Extracting #7: cost 254 inf + 4802 421.456 * * [simplify]: Extracting #8: cost 172 inf + 21899 421.462 * * [simplify]: Extracting #9: cost 110 inf + 41634 421.474 * * [simplify]: Extracting #10: cost 52 inf + 71709 421.493 * * [simplify]: Extracting #11: cost 7 inf + 113632 421.517 * * [simplify]: Extracting #12: cost 1 inf + 120862 421.545 * * [simplify]: Extracting #13: cost 0 inf + 122887 421.569 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 421.569 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 421.570 * * * * [progress]: [ 1089 / 5906 ] simplifiying candidate # 421.570 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 421.570 * * [simplify]: iters left: 6 (47 enodes) 421.582 * * [simplify]: iters left: 5 (227 enodes) 421.632 * * [simplify]: Extracting #0: cost 1 inf + 0 421.632 * * [simplify]: Extracting #1: cost 3 inf + 0 421.632 * * [simplify]: Extracting #2: cost 10 inf + 0 421.633 * * [simplify]: Extracting #3: cost 65 inf + 0 421.633 * * [simplify]: Extracting #4: cost 116 inf + 86 421.633 * * [simplify]: Extracting #5: cost 155 inf + 1472 421.634 * * [simplify]: Extracting #6: cost 234 inf + 2932 421.636 * * [simplify]: Extracting #7: cost 224 inf + 5082 421.640 * * [simplify]: Extracting #8: cost 127 inf + 29794 421.650 * * [simplify]: Extracting #9: cost 57 inf + 61070 421.667 * * [simplify]: Extracting #10: cost 6 inf + 97402 421.687 * * [simplify]: Extracting #11: cost 1 inf + 102181 421.710 * * [simplify]: Extracting #12: cost 0 inf + 104046 421.730 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) 421.730 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 421.731 * * * * [progress]: [ 1090 / 5906 ] simplifiying candidate # 421.731 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 421.732 * * [simplify]: iters left: 6 (52 enodes) 421.745 * * [simplify]: iters left: 5 (254 enodes) 421.804 * * [simplify]: Extracting #0: cost 1 inf + 0 421.804 * * [simplify]: Extracting #1: cost 3 inf + 0 421.804 * * [simplify]: Extracting #2: cost 6 inf + 0 421.804 * * [simplify]: Extracting #3: cost 56 inf + 0 421.805 * * [simplify]: Extracting #4: cost 130 inf + 0 421.805 * * [simplify]: Extracting #5: cost 212 inf + 0 421.806 * * [simplify]: Extracting #6: cost 299 inf + 554 421.807 * * [simplify]: Extracting #7: cost 238 inf + 13292 421.811 * * [simplify]: Extracting #8: cost 164 inf + 26760 421.818 * * [simplify]: Extracting #9: cost 111 inf + 44806 421.832 * * [simplify]: Extracting #10: cost 41 inf + 82014 421.854 * * [simplify]: Extracting #11: cost 6 inf + 121868 421.881 * * [simplify]: Extracting #12: cost 1 inf + 128513 421.906 * * [simplify]: Extracting #13: cost 0 inf + 130578 421.932 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) 421.932 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 421.932 * * * * [progress]: [ 1091 / 5906 ] simplifiying candidate # 421.933 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 421.933 * * [simplify]: iters left: 6 (53 enodes) 421.947 * * [simplify]: iters left: 5 (263 enodes) 422.007 * * [simplify]: Extracting #0: cost 1 inf + 0 422.007 * * [simplify]: Extracting #1: cost 3 inf + 0 422.007 * * [simplify]: Extracting #2: cost 6 inf + 0 422.007 * * [simplify]: Extracting #3: cost 60 inf + 0 422.007 * * [simplify]: Extracting #4: cost 153 inf + 0 422.008 * * [simplify]: Extracting #5: cost 225 inf + 85 422.009 * * [simplify]: Extracting #6: cost 272 inf + 4571 422.012 * * [simplify]: Extracting #7: cost 237 inf + 12184 422.016 * * [simplify]: Extracting #8: cost 167 inf + 27836 422.024 * * [simplify]: Extracting #9: cost 106 inf + 52644 422.039 * * [simplify]: Extracting #10: cost 53 inf + 77876 422.060 * * [simplify]: Extracting #11: cost 13 inf + 118190 422.084 * * [simplify]: Extracting #12: cost 0 inf + 133635 422.110 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 422.110 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 422.111 * * * * [progress]: [ 1092 / 5906 ] simplifiying candidate # 422.111 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 422.111 * * [simplify]: iters left: 6 (53 enodes) 422.125 * * [simplify]: iters left: 5 (263 enodes) 422.188 * * [simplify]: Extracting #0: cost 1 inf + 0 422.188 * * [simplify]: Extracting #1: cost 3 inf + 0 422.188 * * [simplify]: Extracting #2: cost 6 inf + 0 422.188 * * [simplify]: Extracting #3: cost 62 inf + 0 422.188 * * [simplify]: Extracting #4: cost 151 inf + 0 422.189 * * [simplify]: Extracting #5: cost 221 inf + 86 422.190 * * [simplify]: Extracting #6: cost 270 inf + 4968 422.193 * * [simplify]: Extracting #7: cost 209 inf + 20422 422.200 * * [simplify]: Extracting #8: cost 130 inf + 40296 422.214 * * [simplify]: Extracting #9: cost 58 inf + 73592 422.233 * * [simplify]: Extracting #10: cost 14 inf + 115837 422.258 * * [simplify]: Extracting #11: cost 0 inf + 132227 422.283 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 422.283 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 422.283 * * * * [progress]: [ 1093 / 5906 ] simplifiying candidate # 422.284 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 422.284 * * [simplify]: iters left: 6 (47 enodes) 422.296 * * [simplify]: iters left: 5 (227 enodes) 422.346 * * [simplify]: Extracting #0: cost 1 inf + 0 422.346 * * [simplify]: Extracting #1: cost 3 inf + 0 422.346 * * [simplify]: Extracting #2: cost 6 inf + 0 422.346 * * [simplify]: Extracting #3: cost 54 inf + 0 422.346 * * [simplify]: Extracting #4: cost 119 inf + 0 422.347 * * [simplify]: Extracting #5: cost 170 inf + 44 422.347 * * [simplify]: Extracting #6: cost 240 inf + 1278 422.349 * * [simplify]: Extracting #7: cost 196 inf + 9472 422.353 * * [simplify]: Extracting #8: cost 142 inf + 22994 422.360 * * [simplify]: Extracting #9: cost 94 inf + 45028 422.373 * * [simplify]: Extracting #10: cost 43 inf + 64944 422.390 * * [simplify]: Extracting #11: cost 6 inf + 98616 422.410 * * [simplify]: Extracting #12: cost 1 inf + 105821 422.431 * * [simplify]: Extracting #13: cost 0 inf + 107726 422.453 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 422.454 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 422.454 * * * * [progress]: [ 1094 / 5906 ] simplifiying candidate # 422.454 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 422.455 * * [simplify]: iters left: 6 (52 enodes) 422.468 * * [simplify]: iters left: 5 (255 enodes) 422.524 * * [simplify]: Extracting #0: cost 1 inf + 0 422.524 * * [simplify]: Extracting #1: cost 3 inf + 0 422.525 * * [simplify]: Extracting #2: cost 10 inf + 0 422.525 * * [simplify]: Extracting #3: cost 74 inf + 0 422.525 * * [simplify]: Extracting #4: cost 137 inf + 1 422.525 * * [simplify]: Extracting #5: cost 192 inf + 207 422.526 * * [simplify]: Extracting #6: cost 250 inf + 4356 422.529 * * [simplify]: Extracting #7: cost 214 inf + 12535 422.534 * * [simplify]: Extracting #8: cost 150 inf + 29257 422.544 * * [simplify]: Extracting #9: cost 92 inf + 52808 422.555 * * [simplify]: Extracting #10: cost 53 inf + 71774 422.575 * * [simplify]: Extracting #11: cost 7 inf + 113042 422.598 * * [simplify]: Extracting #12: cost 1 inf + 120672 422.622 * * [simplify]: Extracting #13: cost 0 inf + 122697 422.647 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 422.647 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 422.648 * * * * [progress]: [ 1095 / 5906 ] simplifiying candidate # 422.648 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 422.648 * * [simplify]: iters left: 6 (47 enodes) 422.661 * * [simplify]: iters left: 5 (227 enodes) 422.708 * * [simplify]: Extracting #0: cost 1 inf + 0 422.708 * * [simplify]: Extracting #1: cost 3 inf + 0 422.709 * * [simplify]: Extracting #2: cost 10 inf + 0 422.709 * * [simplify]: Extracting #3: cost 66 inf + 0 422.709 * * [simplify]: Extracting #4: cost 117 inf + 44 422.709 * * [simplify]: Extracting #5: cost 157 inf + 862 422.710 * * [simplify]: Extracting #6: cost 228 inf + 2976 422.712 * * [simplify]: Extracting #7: cost 199 inf + 8542 422.718 * * [simplify]: Extracting #8: cost 124 inf + 27448 422.728 * * [simplify]: Extracting #9: cost 58 inf + 57217 422.744 * * [simplify]: Extracting #10: cost 7 inf + 96920 422.766 * * [simplify]: Extracting #11: cost 1 inf + 103191 422.787 * * [simplify]: Extracting #12: cost 0 inf + 105096 422.808 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 422.808 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 422.809 * * * * [progress]: [ 1096 / 5906 ] simplifiying candidate # 422.809 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 422.809 * * [simplify]: iters left: 6 (52 enodes) 422.825 * * [simplify]: iters left: 5 (255 enodes) 422.882 * * [simplify]: Extracting #0: cost 1 inf + 0 422.882 * * [simplify]: Extracting #1: cost 3 inf + 0 422.882 * * [simplify]: Extracting #2: cost 10 inf + 0 422.882 * * [simplify]: Extracting #3: cost 74 inf + 0 422.882 * * [simplify]: Extracting #4: cost 137 inf + 1 422.883 * * [simplify]: Extracting #5: cost 192 inf + 207 422.884 * * [simplify]: Extracting #6: cost 257 inf + 2701 422.886 * * [simplify]: Extracting #7: cost 218 inf + 11527 422.894 * * [simplify]: Extracting #8: cost 119 inf + 41804 422.906 * * [simplify]: Extracting #9: cost 58 inf + 68929 422.925 * * [simplify]: Extracting #10: cost 7 inf + 114002 422.949 * * [simplify]: Extracting #11: cost 1 inf + 121632 422.973 * * [simplify]: Extracting #12: cost 0 inf + 123657 422.999 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 423.000 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 423.000 * * * * [progress]: [ 1097 / 5906 ] simplifiying candidate # 423.001 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 423.001 * * [simplify]: iters left: 6 (47 enodes) 423.017 * * [simplify]: iters left: 5 (227 enodes) 423.064 * * [simplify]: Extracting #0: cost 1 inf + 0 423.064 * * [simplify]: Extracting #1: cost 3 inf + 0 423.064 * * [simplify]: Extracting #2: cost 10 inf + 0 423.064 * * [simplify]: Extracting #3: cost 65 inf + 0 423.065 * * [simplify]: Extracting #4: cost 116 inf + 86 423.065 * * [simplify]: Extracting #5: cost 152 inf + 1472 423.066 * * [simplify]: Extracting #6: cost 228 inf + 2976 423.068 * * [simplify]: Extracting #7: cost 201 inf + 8459 423.075 * * [simplify]: Extracting #8: cost 105 inf + 38386 423.086 * * [simplify]: Extracting #9: cost 50 inf + 62845 423.102 * * [simplify]: Extracting #10: cost 7 inf + 96507 423.123 * * [simplify]: Extracting #11: cost 1 inf + 103751 423.144 * * [simplify]: Extracting #12: cost 0 inf + 105656 423.165 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 423.165 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 423.166 * * * * [progress]: [ 1098 / 5906 ] simplifiying candidate # 423.167 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 423.167 * * [simplify]: iters left: 6 (51 enodes) 423.181 * * [simplify]: iters left: 5 (252 enodes) 423.236 * * [simplify]: Extracting #0: cost 1 inf + 0 423.236 * * [simplify]: Extracting #1: cost 3 inf + 0 423.236 * * [simplify]: Extracting #2: cost 6 inf + 0 423.236 * * [simplify]: Extracting #3: cost 52 inf + 0 423.236 * * [simplify]: Extracting #4: cost 120 inf + 0 423.237 * * [simplify]: Extracting #5: cost 189 inf + 0 423.240 * * [simplify]: Extracting #6: cost 283 inf + 763 423.241 * * [simplify]: Extracting #7: cost 236 inf + 10188 423.246 * * [simplify]: Extracting #8: cost 151 inf + 26310 423.253 * * [simplify]: Extracting #9: cost 87 inf + 45697 423.265 * * [simplify]: Extracting #10: cost 46 inf + 69634 423.284 * * [simplify]: Extracting #11: cost 9 inf + 102169 423.305 * * [simplify]: Extracting #12: cost 1 inf + 110449 423.330 * * [simplify]: Extracting #13: cost 0 inf + 112234 423.354 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 423.354 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 423.355 * * * * [progress]: [ 1099 / 5906 ] simplifiying candidate # 423.355 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 423.355 * * [simplify]: iters left: 6 (52 enodes) 423.369 * * [simplify]: iters left: 5 (261 enodes) 423.429 * * [simplify]: Extracting #0: cost 1 inf + 0 423.429 * * [simplify]: Extracting #1: cost 3 inf + 0 423.429 * * [simplify]: Extracting #2: cost 6 inf + 0 423.429 * * [simplify]: Extracting #3: cost 55 inf + 0 423.429 * * [simplify]: Extracting #4: cost 142 inf + 0 423.429 * * [simplify]: Extracting #5: cost 201 inf + 85 423.431 * * [simplify]: Extracting #6: cost 264 inf + 3631 423.433 * * [simplify]: Extracting #7: cost 227 inf + 11529 423.437 * * [simplify]: Extracting #8: cost 158 inf + 26793 423.446 * * [simplify]: Extracting #9: cost 91 inf + 53242 423.459 * * [simplify]: Extracting #10: cost 41 inf + 76742 423.479 * * [simplify]: Extracting #11: cost 3 inf + 107812 423.503 * * [simplify]: Extracting #12: cost 0 inf + 113247 423.526 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 423.526 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 423.527 * * * * [progress]: [ 1100 / 5906 ] simplifiying candidate # 423.527 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 423.527 * * [simplify]: iters left: 6 (52 enodes) 423.541 * * [simplify]: iters left: 5 (261 enodes) 423.602 * * [simplify]: Extracting #0: cost 1 inf + 0 423.602 * * [simplify]: Extracting #1: cost 3 inf + 0 423.602 * * [simplify]: Extracting #2: cost 6 inf + 0 423.602 * * [simplify]: Extracting #3: cost 57 inf + 0 423.602 * * [simplify]: Extracting #4: cost 140 inf + 0 423.603 * * [simplify]: Extracting #5: cost 197 inf + 85 423.604 * * [simplify]: Extracting #6: cost 259 inf + 4195 423.606 * * [simplify]: Extracting #7: cost 231 inf + 10833 423.610 * * [simplify]: Extracting #8: cost 162 inf + 25207 423.618 * * [simplify]: Extracting #9: cost 91 inf + 52398 423.632 * * [simplify]: Extracting #10: cost 43 inf + 74364 423.653 * * [simplify]: Extracting #11: cost 4 inf + 107219 423.678 * * [simplify]: Extracting #12: cost 0 inf + 111319 423.701 * * [simplify]: Extracting #13: cost 0 inf + 111199 423.724 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 423.724 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 423.725 * * * * [progress]: [ 1101 / 5906 ] simplifiying candidate # 423.725 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 423.725 * * [simplify]: iters left: 6 (46 enodes) 423.737 * * [simplify]: iters left: 5 (225 enodes) 423.786 * * [simplify]: Extracting #0: cost 1 inf + 0 423.787 * * [simplify]: Extracting #1: cost 3 inf + 0 423.787 * * [simplify]: Extracting #2: cost 6 inf + 0 423.787 * * [simplify]: Extracting #3: cost 49 inf + 0 423.787 * * [simplify]: Extracting #4: cost 109 inf + 0 423.787 * * [simplify]: Extracting #5: cost 145 inf + 167 423.788 * * [simplify]: Extracting #6: cost 223 inf + 1800 423.789 * * [simplify]: Extracting #7: cost 218 inf + 4235 423.793 * * [simplify]: Extracting #8: cost 126 inf + 25209 423.806 * * [simplify]: Extracting #9: cost 36 inf + 72711 423.823 * * [simplify]: Extracting #10: cost 4 inf + 88668 423.844 * * [simplify]: Extracting #11: cost 0 inf + 90380 423.862 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 423.862 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 423.862 * * * * [progress]: [ 1102 / 5906 ] simplifiying candidate # 423.863 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 423.863 * * [simplify]: iters left: 6 (51 enodes) 423.877 * * [simplify]: iters left: 5 (253 enodes) 423.933 * * [simplify]: Extracting #0: cost 1 inf + 0 423.933 * * [simplify]: Extracting #1: cost 3 inf + 0 423.933 * * [simplify]: Extracting #2: cost 10 inf + 0 423.934 * * [simplify]: Extracting #3: cost 67 inf + 0 423.934 * * [simplify]: Extracting #4: cost 125 inf + 42 423.934 * * [simplify]: Extracting #5: cost 166 inf + 290 423.935 * * [simplify]: Extracting #6: cost 244 inf + 2528 423.937 * * [simplify]: Extracting #7: cost 227 inf + 6867 423.940 * * [simplify]: Extracting #8: cost 160 inf + 20415 423.947 * * [simplify]: Extracting #9: cost 96 inf + 43645 423.959 * * [simplify]: Extracting #10: cost 40 inf + 70465 423.978 * * [simplify]: Extracting #11: cost 5 inf + 96740 423.999 * * [simplify]: Extracting #12: cost 1 inf + 102720 424.022 * * [simplify]: Extracting #13: cost 0 inf + 104465 424.043 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 424.043 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 424.044 * * * * [progress]: [ 1103 / 5906 ] simplifiying candidate # 424.044 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 424.045 * * [simplify]: iters left: 6 (46 enodes) 424.057 * * [simplify]: iters left: 5 (225 enodes) 424.106 * * [simplify]: Extracting #0: cost 1 inf + 0 424.106 * * [simplify]: Extracting #1: cost 3 inf + 0 424.106 * * [simplify]: Extracting #2: cost 10 inf + 0 424.106 * * [simplify]: Extracting #3: cost 59 inf + 0 424.106 * * [simplify]: Extracting #4: cost 106 inf + 44 424.107 * * [simplify]: Extracting #5: cost 131 inf + 1066 424.107 * * [simplify]: Extracting #6: cost 215 inf + 2568 424.109 * * [simplify]: Extracting #7: cost 211 inf + 5041 424.113 * * [simplify]: Extracting #8: cost 111 inf + 26324 424.122 * * [simplify]: Extracting #9: cost 53 inf + 54228 424.137 * * [simplify]: Extracting #10: cost 5 inf + 83754 424.154 * * [simplify]: Extracting #11: cost 0 inf + 86885 424.171 * * [simplify]: Extracting #12: cost 0 inf + 86805 424.190 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 424.190 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 424.191 * * * * [progress]: [ 1104 / 5906 ] simplifiying candidate # 424.191 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 424.191 * * [simplify]: iters left: 6 (51 enodes) 424.205 * * [simplify]: iters left: 5 (253 enodes) 424.266 * * [simplify]: Extracting #0: cost 1 inf + 0 424.266 * * [simplify]: Extracting #1: cost 3 inf + 0 424.266 * * [simplify]: Extracting #2: cost 10 inf + 0 424.266 * * [simplify]: Extracting #3: cost 67 inf + 0 424.266 * * [simplify]: Extracting #4: cost 125 inf + 42 424.266 * * [simplify]: Extracting #5: cost 167 inf + 248 424.267 * * [simplify]: Extracting #6: cost 241 inf + 3415 424.269 * * [simplify]: Extracting #7: cost 222 inf + 7996 424.272 * * [simplify]: Extracting #8: cost 158 inf + 20938 424.279 * * [simplify]: Extracting #9: cost 97 inf + 43020 424.291 * * [simplify]: Extracting #10: cost 39 inf + 71930 424.309 * * [simplify]: Extracting #11: cost 5 inf + 97540 424.330 * * [simplify]: Extracting #12: cost 1 inf + 103520 424.351 * * [simplify]: Extracting #13: cost 0 inf + 105265 424.374 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 424.374 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 424.374 * * * * [progress]: [ 1105 / 5906 ] simplifiying candidate # 424.375 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 424.375 * * [simplify]: iters left: 6 (46 enodes) 424.387 * * [simplify]: iters left: 5 (225 enodes) 424.436 * * [simplify]: Extracting #0: cost 1 inf + 0 424.436 * * [simplify]: Extracting #1: cost 3 inf + 0 424.436 * * [simplify]: Extracting #2: cost 10 inf + 0 424.436 * * [simplify]: Extracting #3: cost 58 inf + 0 424.437 * * [simplify]: Extracting #4: cost 106 inf + 44 424.437 * * [simplify]: Extracting #5: cost 133 inf + 782 424.438 * * [simplify]: Extracting #6: cost 213 inf + 2932 424.439 * * [simplify]: Extracting #7: cost 213 inf + 4839 424.443 * * [simplify]: Extracting #8: cost 111 inf + 26588 424.452 * * [simplify]: Extracting #9: cost 51 inf + 55332 424.468 * * [simplify]: Extracting #10: cost 4 inf + 84678 424.485 * * [simplify]: Extracting #11: cost 0 inf + 87205 424.502 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 424.502 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 424.503 * * * * [progress]: [ 1106 / 5906 ] simplifiying candidate # 424.503 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 424.503 * * [simplify]: iters left: 6 (47 enodes) 424.516 * * [simplify]: iters left: 5 (227 enodes) 424.567 * * [simplify]: Extracting #0: cost 1 inf + 0 424.567 * * [simplify]: Extracting #1: cost 3 inf + 0 424.567 * * [simplify]: Extracting #2: cost 6 inf + 0 424.567 * * [simplify]: Extracting #3: cost 44 inf + 0 424.567 * * [simplify]: Extracting #4: cost 104 inf + 0 424.567 * * [simplify]: Extracting #5: cost 158 inf + 1 424.568 * * [simplify]: Extracting #6: cost 228 inf + 210 424.570 * * [simplify]: Extracting #7: cost 203 inf + 4887 424.573 * * [simplify]: Extracting #8: cost 118 inf + 20504 424.579 * * [simplify]: Extracting #9: cost 73 inf + 38509 424.591 * * [simplify]: Extracting #10: cost 9 inf + 81414 424.610 * * [simplify]: Extracting #11: cost 1 inf + 85237 424.628 * * [simplify]: Extracting #12: cost 0 inf + 86480 424.645 * * [simplify]: Extracting #13: cost 0 inf + 86349 424.663 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 424.663 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 424.664 * * * * [progress]: [ 1107 / 5906 ] simplifiying candidate # 424.664 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 424.664 * * [simplify]: iters left: 6 (48 enodes) 424.677 * * [simplify]: iters left: 5 (236 enodes) 424.729 * * [simplify]: Extracting #0: cost 1 inf + 0 424.729 * * [simplify]: Extracting #1: cost 3 inf + 0 424.729 * * [simplify]: Extracting #2: cost 6 inf + 0 424.729 * * [simplify]: Extracting #3: cost 48 inf + 0 424.730 * * [simplify]: Extracting #4: cost 127 inf + 0 424.730 * * [simplify]: Extracting #5: cost 166 inf + 455 424.731 * * [simplify]: Extracting #6: cost 194 inf + 6581 424.734 * * [simplify]: Extracting #7: cost 183 inf + 10748 424.738 * * [simplify]: Extracting #8: cost 102 inf + 31045 424.751 * * [simplify]: Extracting #9: cost 11 inf + 84640 424.771 * * [simplify]: Extracting #10: cost 0 inf + 89337 424.788 * * [simplify]: Extracting #11: cost 0 inf + 89206 424.806 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))))) 424.806 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 424.807 * * * * [progress]: [ 1108 / 5906 ] simplifiying candidate # 424.807 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 424.807 * * [simplify]: iters left: 6 (48 enodes) 424.820 * * [simplify]: iters left: 5 (236 enodes) 424.874 * * [simplify]: Extracting #0: cost 1 inf + 0 424.874 * * [simplify]: Extracting #1: cost 3 inf + 0 424.874 * * [simplify]: Extracting #2: cost 6 inf + 0 424.874 * * [simplify]: Extracting #3: cost 50 inf + 0 424.875 * * [simplify]: Extracting #4: cost 125 inf + 0 424.875 * * [simplify]: Extracting #5: cost 164 inf + 381 424.876 * * [simplify]: Extracting #6: cost 198 inf + 5659 424.879 * * [simplify]: Extracting #7: cost 183 inf + 9820 424.883 * * [simplify]: Extracting #8: cost 107 inf + 27117 424.895 * * [simplify]: Extracting #9: cost 20 inf + 73710 424.911 * * [simplify]: Extracting #10: cost 1 inf + 85566 424.928 * * [simplify]: Extracting #11: cost 0 inf + 85918 424.948 * * [simplify]: Extracting #12: cost 0 inf + 85878 424.965 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 424.965 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 424.965 * * * * [progress]: [ 1109 / 5906 ] simplifiying candidate # 424.966 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 424.966 * * [simplify]: iters left: 6 (42 enodes) 424.977 * * [simplify]: iters left: 5 (199 enodes) 425.017 * * [simplify]: Extracting #0: cost 1 inf + 0 425.017 * * [simplify]: Extracting #1: cost 3 inf + 0 425.017 * * [simplify]: Extracting #2: cost 6 inf + 0 425.018 * * [simplify]: Extracting #3: cost 42 inf + 0 425.018 * * [simplify]: Extracting #4: cost 94 inf + 0 425.018 * * [simplify]: Extracting #5: cost 118 inf + 45 425.019 * * [simplify]: Extracting #6: cost 171 inf + 1275 425.020 * * [simplify]: Extracting #7: cost 164 inf + 3914 425.026 * * [simplify]: Extracting #8: cost 80 inf + 24932 425.035 * * [simplify]: Extracting #9: cost 20 inf + 60388 425.048 * * [simplify]: Extracting #10: cost 2 inf + 67166 425.061 * * [simplify]: Extracting #11: cost 0 inf + 67459 425.075 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 425.075 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 425.075 * * * * [progress]: [ 1110 / 5906 ] simplifiying candidate # 425.076 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 425.076 * * [simplify]: iters left: 6 (47 enodes) 425.088 * * [simplify]: iters left: 5 (228 enodes) 425.138 * * [simplify]: Extracting #0: cost 1 inf + 0 425.138 * * [simplify]: Extracting #1: cost 3 inf + 0 425.138 * * [simplify]: Extracting #2: cost 10 inf + 0 425.138 * * [simplify]: Extracting #3: cost 62 inf + 0 425.138 * * [simplify]: Extracting #4: cost 114 inf + 42 425.139 * * [simplify]: Extracting #5: cost 139 inf + 332 425.139 * * [simplify]: Extracting #6: cost 193 inf + 2808 425.141 * * [simplify]: Extracting #7: cost 185 inf + 5969 425.143 * * [simplify]: Extracting #8: cost 128 inf + 15366 425.148 * * [simplify]: Extracting #9: cost 75 inf + 34200 425.161 * * [simplify]: Extracting #10: cost 7 inf + 76299 425.178 * * [simplify]: Extracting #11: cost 1 inf + 81228 425.199 * * [simplify]: Extracting #12: cost 0 inf + 82733 425.216 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 425.216 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 425.217 * * * * [progress]: [ 1111 / 5906 ] simplifiying candidate # 425.217 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 425.218 * * [simplify]: iters left: 6 (42 enodes) 425.229 * * [simplify]: iters left: 5 (200 enodes) 425.268 * * [simplify]: Extracting #0: cost 1 inf + 0 425.268 * * [simplify]: Extracting #1: cost 3 inf + 0 425.269 * * [simplify]: Extracting #2: cost 10 inf + 0 425.269 * * [simplify]: Extracting #3: cost 50 inf + 0 425.269 * * [simplify]: Extracting #4: cost 88 inf + 86 425.269 * * [simplify]: Extracting #5: cost 98 inf + 1271 425.270 * * [simplify]: Extracting #6: cost 157 inf + 2771 425.271 * * [simplify]: Extracting #7: cost 157 inf + 4077 425.277 * * [simplify]: Extracting #8: cost 71 inf + 27442 425.287 * * [simplify]: Extracting #9: cost 22 inf + 52934 425.299 * * [simplify]: Extracting #10: cost 1 inf + 63946 425.312 * * [simplify]: Extracting #11: cost 0 inf + 63474 425.325 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 425.325 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 425.326 * * * * [progress]: [ 1112 / 5906 ] simplifiying candidate # 425.326 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 425.326 * * [simplify]: iters left: 6 (47 enodes) 425.339 * * [simplify]: iters left: 5 (228 enodes) 425.389 * * [simplify]: Extracting #0: cost 1 inf + 0 425.389 * * [simplify]: Extracting #1: cost 3 inf + 0 425.389 * * [simplify]: Extracting #2: cost 10 inf + 0 425.389 * * [simplify]: Extracting #3: cost 62 inf + 0 425.390 * * [simplify]: Extracting #4: cost 114 inf + 42 425.390 * * [simplify]: Extracting #5: cost 139 inf + 333 425.391 * * [simplify]: Extracting #6: cost 190 inf + 3455 425.392 * * [simplify]: Extracting #7: cost 185 inf + 5969 425.395 * * [simplify]: Extracting #8: cost 127 inf + 15618 425.400 * * [simplify]: Extracting #9: cost 73 inf + 35787 425.413 * * [simplify]: Extracting #10: cost 7 inf + 77179 425.430 * * [simplify]: Extracting #11: cost 1 inf + 82188 425.449 * * [simplify]: Extracting #12: cost 0 inf + 83693 425.466 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 425.466 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 425.467 * * * * [progress]: [ 1113 / 5906 ] simplifiying candidate # 425.467 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 425.467 * * [simplify]: iters left: 6 (42 enodes) 425.478 * * [simplify]: iters left: 5 (200 enodes) 425.520 * * [simplify]: Extracting #0: cost 1 inf + 0 425.520 * * [simplify]: Extracting #1: cost 3 inf + 0 425.520 * * [simplify]: Extracting #2: cost 10 inf + 0 425.521 * * [simplify]: Extracting #3: cost 49 inf + 0 425.521 * * [simplify]: Extracting #4: cost 87 inf + 208 425.521 * * [simplify]: Extracting #5: cost 94 inf + 1999 425.522 * * [simplify]: Extracting #6: cost 156 inf + 2933 425.523 * * [simplify]: Extracting #7: cost 156 inf + 4158 425.529 * * [simplify]: Extracting #8: cost 71 inf + 26518 425.539 * * [simplify]: Extracting #9: cost 21 inf + 53330 425.551 * * [simplify]: Extracting #10: cost 1 inf + 64135 425.564 * * [simplify]: Extracting #11: cost 0 inf + 63794 425.577 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 425.577 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 425.578 * * * * [progress]: [ 1114 / 5906 ] simplifiying candidate # 425.578 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 425.578 * * [simplify]: iters left: 6 (47 enodes) 425.591 * * [simplify]: iters left: 5 (226 enodes) 425.641 * * [simplify]: Extracting #0: cost 1 inf + 0 425.642 * * [simplify]: Extracting #1: cost 3 inf + 0 425.642 * * [simplify]: Extracting #2: cost 6 inf + 0 425.642 * * [simplify]: Extracting #3: cost 52 inf + 0 425.642 * * [simplify]: Extracting #4: cost 119 inf + 0 425.642 * * [simplify]: Extracting #5: cost 173 inf + 1 425.643 * * [simplify]: Extracting #6: cost 241 inf + 413 425.644 * * [simplify]: Extracting #7: cost 205 inf + 8075 425.648 * * [simplify]: Extracting #8: cost 121 inf + 27291 425.660 * * [simplify]: Extracting #9: cost 22 inf + 80591 425.677 * * [simplify]: Extracting #10: cost 1 inf + 93384 425.696 * * [simplify]: Extracting #11: cost 0 inf + 94496 425.717 * * [simplify]: Extracting #12: cost 0 inf + 94365 425.737 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 425.737 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 425.737 * * * * [progress]: [ 1115 / 5906 ] simplifiying candidate # 425.738 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 425.738 * * [simplify]: iters left: 6 (48 enodes) 425.751 * * [simplify]: iters left: 5 (235 enodes) 425.805 * * [simplify]: Extracting #0: cost 1 inf + 0 425.805 * * [simplify]: Extracting #1: cost 3 inf + 0 425.805 * * [simplify]: Extracting #2: cost 6 inf + 0 425.805 * * [simplify]: Extracting #3: cost 56 inf + 0 425.805 * * [simplify]: Extracting #4: cost 142 inf + 0 425.806 * * [simplify]: Extracting #5: cost 181 inf + 455 425.807 * * [simplify]: Extracting #6: cost 220 inf + 4160 425.809 * * [simplify]: Extracting #7: cost 199 inf + 10305 425.814 * * [simplify]: Extracting #8: cost 109 inf + 32647 425.829 * * [simplify]: Extracting #9: cost 20 inf + 80594 425.848 * * [simplify]: Extracting #10: cost 0 inf + 97582 425.867 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 425.867 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 425.868 * * * * [progress]: [ 1116 / 5906 ] simplifiying candidate # 425.868 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 425.868 * * [simplify]: iters left: 6 (48 enodes) 425.883 * * [simplify]: iters left: 5 (235 enodes) 425.934 * * [simplify]: Extracting #0: cost 1 inf + 0 425.934 * * [simplify]: Extracting #1: cost 3 inf + 0 425.934 * * [simplify]: Extracting #2: cost 6 inf + 0 425.935 * * [simplify]: Extracting #3: cost 58 inf + 0 425.935 * * [simplify]: Extracting #4: cost 140 inf + 0 425.935 * * [simplify]: Extracting #5: cost 179 inf + 381 425.937 * * [simplify]: Extracting #6: cost 212 inf + 5368 425.939 * * [simplify]: Extracting #7: cost 195 inf + 10195 425.943 * * [simplify]: Extracting #8: cost 111 inf + 30450 425.957 * * [simplify]: Extracting #9: cost 21 inf + 78022 425.974 * * [simplify]: Extracting #10: cost 0 inf + 94720 425.992 * * [simplify]: Extracting #11: cost 0 inf + 93934 426.010 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))) 426.010 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 426.010 * * * * [progress]: [ 1117 / 5906 ] simplifiying candidate # 426.011 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 426.011 * * [simplify]: iters left: 6 (42 enodes) 426.022 * * [simplify]: iters left: 5 (201 enodes) 426.065 * * [simplify]: Extracting #0: cost 1 inf + 0 426.065 * * [simplify]: Extracting #1: cost 3 inf + 0 426.065 * * [simplify]: Extracting #2: cost 6 inf + 0 426.065 * * [simplify]: Extracting #3: cost 44 inf + 0 426.065 * * [simplify]: Extracting #4: cost 100 inf + 0 426.065 * * [simplify]: Extracting #5: cost 126 inf + 45 426.066 * * [simplify]: Extracting #6: cost 177 inf + 1680 426.067 * * [simplify]: Extracting #7: cost 167 inf + 4682 426.071 * * [simplify]: Extracting #8: cost 99 inf + 21015 426.082 * * [simplify]: Extracting #9: cost 22 inf + 61541 426.095 * * [simplify]: Extracting #10: cost 2 inf + 71103 426.110 * * [simplify]: Extracting #11: cost 0 inf + 71247 426.126 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 426.126 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 426.127 * * * * [progress]: [ 1118 / 5906 ] simplifiying candidate # 426.127 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 426.128 * * [simplify]: iters left: 6 (47 enodes) 426.141 * * [simplify]: iters left: 5 (229 enodes) 426.189 * * [simplify]: Extracting #0: cost 1 inf + 0 426.189 * * [simplify]: Extracting #1: cost 3 inf + 0 426.189 * * [simplify]: Extracting #2: cost 10 inf + 0 426.189 * * [simplify]: Extracting #3: cost 62 inf + 0 426.189 * * [simplify]: Extracting #4: cost 125 inf + 42 426.190 * * [simplify]: Extracting #5: cost 150 inf + 332 426.191 * * [simplify]: Extracting #6: cost 206 inf + 2284 426.192 * * [simplify]: Extracting #7: cost 194 inf + 6383 426.197 * * [simplify]: Extracting #8: cost 125 inf + 21214 426.208 * * [simplify]: Extracting #9: cost 32 inf + 69238 426.225 * * [simplify]: Extracting #10: cost 1 inf + 88503 426.242 * * [simplify]: Extracting #11: cost 0 inf + 90008 426.260 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 426.260 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 426.261 * * * * [progress]: [ 1119 / 5906 ] simplifiying candidate # 426.261 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 426.261 * * [simplify]: iters left: 6 (42 enodes) 426.272 * * [simplify]: iters left: 5 (201 enodes) 426.315 * * [simplify]: Extracting #0: cost 1 inf + 0 426.315 * * [simplify]: Extracting #1: cost 3 inf + 0 426.315 * * [simplify]: Extracting #2: cost 10 inf + 0 426.315 * * [simplify]: Extracting #3: cost 59 inf + 0 426.315 * * [simplify]: Extracting #4: cost 113 inf + 44 426.316 * * [simplify]: Extracting #5: cost 125 inf + 1106 426.317 * * [simplify]: Extracting #6: cost 182 inf + 2609 426.318 * * [simplify]: Extracting #7: cost 179 inf + 4400 426.321 * * [simplify]: Extracting #8: cost 106 inf + 24968 426.334 * * [simplify]: Extracting #9: cost 17 inf + 67321 426.348 * * [simplify]: Extracting #10: cost 1 inf + 74964 426.363 * * [simplify]: Extracting #11: cost 0 inf + 75427 426.380 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 426.380 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 426.382 * * * * [progress]: [ 1120 / 5906 ] simplifiying candidate # 426.382 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 426.382 * * [simplify]: iters left: 6 (47 enodes) 426.394 * * [simplify]: iters left: 5 (229 enodes) 426.444 * * [simplify]: Extracting #0: cost 1 inf + 0 426.444 * * [simplify]: Extracting #1: cost 3 inf + 0 426.444 * * [simplify]: Extracting #2: cost 10 inf + 0 426.444 * * [simplify]: Extracting #3: cost 62 inf + 0 426.444 * * [simplify]: Extracting #4: cost 125 inf + 42 426.444 * * [simplify]: Extracting #5: cost 150 inf + 333 426.445 * * [simplify]: Extracting #6: cost 201 inf + 3455 426.447 * * [simplify]: Extracting #7: cost 195 inf + 6302 426.452 * * [simplify]: Extracting #8: cost 124 inf + 21678 426.462 * * [simplify]: Extracting #9: cost 31 inf + 71975 426.478 * * [simplify]: Extracting #10: cost 1 inf + 90118 426.496 * * [simplify]: Extracting #11: cost 0 inf + 91099 426.514 * * [simplify]: Extracting #12: cost 0 inf + 90968 426.531 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 426.531 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 426.532 * * * * [progress]: [ 1121 / 5906 ] simplifiying candidate # 426.532 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 426.533 * * [simplify]: iters left: 6 (42 enodes) 426.545 * * [simplify]: iters left: 5 (201 enodes) 426.586 * * [simplify]: Extracting #0: cost 1 inf + 0 426.586 * * [simplify]: Extracting #1: cost 3 inf + 0 426.586 * * [simplify]: Extracting #2: cost 10 inf + 0 426.586 * * [simplify]: Extracting #3: cost 58 inf + 0 426.586 * * [simplify]: Extracting #4: cost 111 inf + 208 426.587 * * [simplify]: Extracting #5: cost 118 inf + 1959 426.588 * * [simplify]: Extracting #6: cost 180 inf + 2933 426.589 * * [simplify]: Extracting #7: cost 176 inf + 4846 426.593 * * [simplify]: Extracting #8: cost 100 inf + 25809 426.604 * * [simplify]: Extracting #9: cost 24 inf + 63510 426.619 * * [simplify]: Extracting #10: cost 1 inf + 75444 426.635 * * [simplify]: Extracting #11: cost 0 inf + 75907 426.650 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 426.650 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 426.650 * * * * [progress]: [ 1122 / 5906 ] simplifiying candidate # 426.651 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 426.651 * * [simplify]: iters left: 6 (51 enodes) 426.665 * * [simplify]: iters left: 5 (252 enodes) 426.726 * * [simplify]: Extracting #0: cost 1 inf + 0 426.726 * * [simplify]: Extracting #1: cost 3 inf + 0 426.726 * * [simplify]: Extracting #2: cost 6 inf + 0 426.726 * * [simplify]: Extracting #3: cost 52 inf + 0 426.726 * * [simplify]: Extracting #4: cost 120 inf + 0 426.727 * * [simplify]: Extracting #5: cost 189 inf + 0 426.727 * * [simplify]: Extracting #6: cost 268 inf + 763 426.729 * * [simplify]: Extracting #7: cost 228 inf + 6956 426.732 * * [simplify]: Extracting #8: cost 153 inf + 21982 426.737 * * [simplify]: Extracting #9: cost 103 inf + 35101 426.747 * * [simplify]: Extracting #10: cost 48 inf + 62035 426.765 * * [simplify]: Extracting #11: cost 10 inf + 93915 426.784 * * [simplify]: Extracting #12: cost 1 inf + 103220 426.807 * * [simplify]: Extracting #13: cost 0 inf + 104965 426.828 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 426.828 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 426.829 * * * * [progress]: [ 1123 / 5906 ] simplifiying candidate # 426.829 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 426.829 * * [simplify]: iters left: 6 (52 enodes) 426.842 * * [simplify]: iters left: 5 (261 enodes) 426.901 * * [simplify]: Extracting #0: cost 1 inf + 0 426.901 * * [simplify]: Extracting #1: cost 3 inf + 0 426.901 * * [simplify]: Extracting #2: cost 6 inf + 0 426.901 * * [simplify]: Extracting #3: cost 55 inf + 0 426.902 * * [simplify]: Extracting #4: cost 142 inf + 0 426.902 * * [simplify]: Extracting #5: cost 201 inf + 85 426.903 * * [simplify]: Extracting #6: cost 240 inf + 5570 426.906 * * [simplify]: Extracting #7: cost 214 inf + 11520 426.909 * * [simplify]: Extracting #8: cost 146 inf + 24501 426.917 * * [simplify]: Extracting #9: cost 93 inf + 45281 426.928 * * [simplify]: Extracting #10: cost 37 inf + 72695 426.947 * * [simplify]: Extracting #11: cost 3 inf + 101583 426.971 * * [simplify]: Extracting #12: cost 0 inf + 107018 426.993 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)))) 426.993 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 426.994 * * * * [progress]: [ 1124 / 5906 ] simplifiying candidate # 426.994 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 426.994 * * [simplify]: iters left: 6 (52 enodes) 427.008 * * [simplify]: iters left: 5 (261 enodes) 427.066 * * [simplify]: Extracting #0: cost 1 inf + 0 427.066 * * [simplify]: Extracting #1: cost 3 inf + 0 427.066 * * [simplify]: Extracting #2: cost 6 inf + 0 427.066 * * [simplify]: Extracting #3: cost 57 inf + 0 427.067 * * [simplify]: Extracting #4: cost 140 inf + 0 427.067 * * [simplify]: Extracting #5: cost 197 inf + 85 427.068 * * [simplify]: Extracting #6: cost 240 inf + 5643 427.071 * * [simplify]: Extracting #7: cost 216 inf + 10948 427.074 * * [simplify]: Extracting #8: cost 149 inf + 24039 427.082 * * [simplify]: Extracting #9: cost 91 inf + 44808 427.097 * * [simplify]: Extracting #10: cost 15 inf + 91555 427.117 * * [simplify]: Extracting #11: cost 0 inf + 104810 427.140 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 427.140 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 427.141 * * * * [progress]: [ 1125 / 5906 ] simplifiying candidate # 427.141 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 427.142 * * [simplify]: iters left: 6 (46 enodes) 427.153 * * [simplify]: iters left: 5 (225 enodes) 427.202 * * [simplify]: Extracting #0: cost 1 inf + 0 427.202 * * [simplify]: Extracting #1: cost 3 inf + 0 427.202 * * [simplify]: Extracting #2: cost 6 inf + 0 427.202 * * [simplify]: Extracting #3: cost 49 inf + 0 427.202 * * [simplify]: Extracting #4: cost 109 inf + 0 427.202 * * [simplify]: Extracting #5: cost 142 inf + 333 427.203 * * [simplify]: Extracting #6: cost 204 inf + 2488 427.205 * * [simplify]: Extracting #7: cost 196 inf + 4843 427.207 * * [simplify]: Extracting #8: cost 145 inf + 12233 427.211 * * [simplify]: Extracting #9: cost 103 inf + 25644 427.220 * * [simplify]: Extracting #10: cost 38 inf + 54168 427.235 * * [simplify]: Extracting #11: cost 3 inf + 80996 427.252 * * [simplify]: Extracting #12: cost 0 inf + 84231 427.270 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 427.270 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 427.271 * * * * [progress]: [ 1126 / 5906 ] simplifiying candidate # 427.271 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 427.271 * * [simplify]: iters left: 6 (51 enodes) 427.288 * * [simplify]: iters left: 5 (253 enodes) 427.341 * * [simplify]: Extracting #0: cost 1 inf + 0 427.341 * * [simplify]: Extracting #1: cost 3 inf + 0 427.341 * * [simplify]: Extracting #2: cost 10 inf + 0 427.341 * * [simplify]: Extracting #3: cost 67 inf + 0 427.341 * * [simplify]: Extracting #4: cost 125 inf + 42 427.342 * * [simplify]: Extracting #5: cost 167 inf + 249 427.342 * * [simplify]: Extracting #6: cost 232 inf + 2003 427.344 * * [simplify]: Extracting #7: cost 214 inf + 5938 427.347 * * [simplify]: Extracting #8: cost 124 inf + 25699 427.354 * * [simplify]: Extracting #9: cost 73 inf + 44762 427.371 * * [simplify]: Extracting #10: cost 18 inf + 83261 427.391 * * [simplify]: Extracting #11: cost 1 inf + 97411 427.411 * * [simplify]: Extracting #12: cost 0 inf + 98196 427.431 * * [simplify]: Extracting #13: cost 0 inf + 98156 427.451 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 427.451 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 427.451 * * * * [progress]: [ 1127 / 5906 ] simplifiying candidate # 427.451 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 427.452 * * [simplify]: iters left: 6 (46 enodes) 427.465 * * [simplify]: iters left: 5 (225 enodes) 427.511 * * [simplify]: Extracting #0: cost 1 inf + 0 427.511 * * [simplify]: Extracting #1: cost 3 inf + 0 427.511 * * [simplify]: Extracting #2: cost 10 inf + 0 427.511 * * [simplify]: Extracting #3: cost 59 inf + 0 427.511 * * [simplify]: Extracting #4: cost 106 inf + 44 427.511 * * [simplify]: Extracting #5: cost 134 inf + 660 427.512 * * [simplify]: Extracting #6: cost 199 inf + 2770 427.513 * * [simplify]: Extracting #7: cost 197 inf + 4034 427.517 * * [simplify]: Extracting #8: cost 113 inf + 22340 427.524 * * [simplify]: Extracting #9: cost 50 inf + 48734 427.540 * * [simplify]: Extracting #10: cost 5 inf + 78237 427.556 * * [simplify]: Extracting #11: cost 0 inf + 80816 427.573 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 427.573 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 427.574 * * * * [progress]: [ 1128 / 5906 ] simplifiying candidate # 427.574 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 427.574 * * [simplify]: iters left: 6 (51 enodes) 427.588 * * [simplify]: iters left: 5 (253 enodes) 427.644 * * [simplify]: Extracting #0: cost 1 inf + 0 427.644 * * [simplify]: Extracting #1: cost 3 inf + 0 427.644 * * [simplify]: Extracting #2: cost 10 inf + 0 427.644 * * [simplify]: Extracting #3: cost 67 inf + 0 427.644 * * [simplify]: Extracting #4: cost 125 inf + 42 427.645 * * [simplify]: Extracting #5: cost 167 inf + 248 427.646 * * [simplify]: Extracting #6: cost 229 inf + 2930 427.647 * * [simplify]: Extracting #7: cost 210 inf + 6745 427.651 * * [simplify]: Extracting #8: cost 123 inf + 25820 427.658 * * [simplify]: Extracting #9: cost 71 inf + 45429 427.673 * * [simplify]: Extracting #10: cost 17 inf + 84446 427.693 * * [simplify]: Extracting #11: cost 1 inf + 98371 427.715 * * [simplify]: Extracting #12: cost 0 inf + 99156 427.735 * * [simplify]: Extracting #13: cost 0 inf + 99116 427.755 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 427.755 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 427.756 * * * * [progress]: [ 1129 / 5906 ] simplifiying candidate # 427.756 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 427.756 * * [simplify]: iters left: 6 (46 enodes) 427.768 * * [simplify]: iters left: 5 (225 enodes) 427.815 * * [simplify]: Extracting #0: cost 1 inf + 0 427.815 * * [simplify]: Extracting #1: cost 3 inf + 0 427.815 * * [simplify]: Extracting #2: cost 10 inf + 0 427.815 * * [simplify]: Extracting #3: cost 58 inf + 0 427.815 * * [simplify]: Extracting #4: cost 106 inf + 44 427.816 * * [simplify]: Extracting #5: cost 131 inf + 1066 427.817 * * [simplify]: Extracting #6: cost 198 inf + 2932 427.818 * * [simplify]: Extracting #7: cost 197 inf + 4034 427.821 * * [simplify]: Extracting #8: cost 109 inf + 23337 427.829 * * [simplify]: Extracting #9: cost 45 inf + 52464 427.844 * * [simplify]: Extracting #10: cost 5 inf + 78797 427.861 * * [simplify]: Extracting #11: cost 0 inf + 81216 427.880 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 427.880 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 427.880 * * * * [progress]: [ 1130 / 5906 ] simplifiying candidate # 427.881 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 427.881 * * [simplify]: iters left: 6 (52 enodes) 427.895 * * [simplify]: iters left: 5 (249 enodes) 427.947 * * [simplify]: Extracting #0: cost 1 inf + 0 427.947 * * [simplify]: Extracting #1: cost 3 inf + 0 427.947 * * [simplify]: Extracting #2: cost 6 inf + 0 427.947 * * [simplify]: Extracting #3: cost 46 inf + 0 427.948 * * [simplify]: Extracting #4: cost 112 inf + 0 427.950 * * [simplify]: Extracting #5: cost 183 inf + 0 427.951 * * [simplify]: Extracting #6: cost 266 inf + 45 427.952 * * [simplify]: Extracting #7: cost 233 inf + 4393 427.955 * * [simplify]: Extracting #8: cost 149 inf + 19203 427.960 * * [simplify]: Extracting #9: cost 117 inf + 27855 427.967 * * [simplify]: Extracting #10: cost 78 inf + 44734 427.976 * * [simplify]: Extracting #11: cost 46 inf + 58287 427.993 * * [simplify]: Extracting #12: cost 7 inf + 94582 428.012 * * [simplify]: Extracting #13: cost 1 inf + 101052 428.033 * * [simplify]: Extracting #14: cost 0 inf + 102797 428.054 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 428.054 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 428.054 * * * * [progress]: [ 1131 / 5906 ] simplifiying candidate # 428.055 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 428.055 * * [simplify]: iters left: 6 (53 enodes) 428.069 * * [simplify]: iters left: 5 (258 enodes) 428.126 * * [simplify]: Extracting #0: cost 1 inf + 0 428.126 * * [simplify]: Extracting #1: cost 3 inf + 0 428.126 * * [simplify]: Extracting #2: cost 6 inf + 0 428.126 * * [simplify]: Extracting #3: cost 50 inf + 0 428.126 * * [simplify]: Extracting #4: cost 135 inf + 0 428.126 * * [simplify]: Extracting #5: cost 196 inf + 85 428.127 * * [simplify]: Extracting #6: cost 247 inf + 3106 428.130 * * [simplify]: Extracting #7: cost 210 inf + 10789 428.134 * * [simplify]: Extracting #8: cost 137 inf + 28611 428.143 * * [simplify]: Extracting #9: cost 74 inf + 54373 428.153 * * [simplify]: Extracting #10: cost 46 inf + 62344 428.170 * * [simplify]: Extracting #11: cost 9 inf + 96069 428.192 * * [simplify]: Extracting #12: cost 0 inf + 106774 428.217 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 428.217 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 428.217 * * * * [progress]: [ 1132 / 5906 ] simplifiying candidate # 428.218 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 428.218 * * [simplify]: iters left: 6 (53 enodes) 428.232 * * [simplify]: iters left: 5 (258 enodes) 428.290 * * [simplify]: Extracting #0: cost 1 inf + 0 428.290 * * [simplify]: Extracting #1: cost 3 inf + 0 428.290 * * [simplify]: Extracting #2: cost 6 inf + 0 428.290 * * [simplify]: Extracting #3: cost 52 inf + 0 428.290 * * [simplify]: Extracting #4: cost 133 inf + 0 428.290 * * [simplify]: Extracting #5: cost 193 inf + 44 428.292 * * [simplify]: Extracting #6: cost 230 inf + 6011 428.294 * * [simplify]: Extracting #7: cost 207 inf + 10307 428.297 * * [simplify]: Extracting #8: cost 157 inf + 19401 428.303 * * [simplify]: Extracting #9: cost 103 inf + 35009 428.312 * * [simplify]: Extracting #10: cost 53 inf + 56582 428.328 * * [simplify]: Extracting #11: cost 13 inf + 91121 428.349 * * [simplify]: Extracting #12: cost 0 inf + 105806 428.371 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 428.372 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 428.372 * * * * [progress]: [ 1133 / 5906 ] simplifiying candidate # 428.372 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 428.373 * * [simplify]: iters left: 6 (47 enodes) 428.385 * * [simplify]: iters left: 5 (222 enodes) 428.430 * * [simplify]: Extracting #0: cost 1 inf + 0 428.431 * * [simplify]: Extracting #1: cost 3 inf + 0 428.431 * * [simplify]: Extracting #2: cost 6 inf + 0 428.431 * * [simplify]: Extracting #3: cost 47 inf + 0 428.431 * * [simplify]: Extracting #4: cost 107 inf + 0 428.431 * * [simplify]: Extracting #5: cost 143 inf + 370 428.432 * * [simplify]: Extracting #6: cost 202 inf + 2328 428.433 * * [simplify]: Extracting #7: cost 191 inf + 4361 428.436 * * [simplify]: Extracting #8: cost 129 inf + 17708 428.446 * * [simplify]: Extracting #9: cost 55 inf + 44705 428.459 * * [simplify]: Extracting #10: cost 12 inf + 74327 428.476 * * [simplify]: Extracting #11: cost 0 inf + 85681 428.494 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 428.494 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 428.495 * * * * [progress]: [ 1134 / 5906 ] simplifiying candidate # 428.495 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 428.496 * * [simplify]: iters left: 6 (52 enodes) 428.510 * * [simplify]: iters left: 5 (250 enodes) 428.563 * * [simplify]: Extracting #0: cost 1 inf + 0 428.563 * * [simplify]: Extracting #1: cost 3 inf + 0 428.563 * * [simplify]: Extracting #2: cost 10 inf + 0 428.563 * * [simplify]: Extracting #3: cost 63 inf + 0 428.564 * * [simplify]: Extracting #4: cost 122 inf + 1 428.564 * * [simplify]: Extracting #5: cost 165 inf + 207 428.565 * * [simplify]: Extracting #6: cost 224 inf + 5121 428.567 * * [simplify]: Extracting #7: cost 206 inf + 6833 428.569 * * [simplify]: Extracting #8: cost 152 inf + 15784 428.574 * * [simplify]: Extracting #9: cost 103 inf + 31074 428.582 * * [simplify]: Extracting #10: cost 48 inf + 54745 428.597 * * [simplify]: Extracting #11: cost 8 inf + 88817 428.618 * * [simplify]: Extracting #12: cost 1 inf + 97752 428.637 * * [simplify]: Extracting #13: cost 0 inf + 99577 428.656 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 428.656 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 428.656 * * * * [progress]: [ 1135 / 5906 ] simplifiying candidate # 428.657 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 428.657 * * [simplify]: iters left: 6 (47 enodes) 428.669 * * [simplify]: iters left: 5 (222 enodes) 428.716 * * [simplify]: Extracting #0: cost 1 inf + 0 428.716 * * [simplify]: Extracting #1: cost 3 inf + 0 428.716 * * [simplify]: Extracting #2: cost 10 inf + 0 428.716 * * [simplify]: Extracting #3: cost 58 inf + 0 428.716 * * [simplify]: Extracting #4: cost 104 inf + 44 428.717 * * [simplify]: Extracting #5: cost 131 inf + 1023 428.718 * * [simplify]: Extracting #6: cost 195 inf + 2972 428.719 * * [simplify]: Extracting #7: cost 186 inf + 4723 428.723 * * [simplify]: Extracting #8: cost 105 inf + 27148 428.736 * * [simplify]: Extracting #9: cost 14 inf + 75049 428.752 * * [simplify]: Extracting #10: cost 1 inf + 80378 428.768 * * [simplify]: Extracting #11: cost 0 inf + 81883 428.787 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 428.787 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 428.788 * * * * [progress]: [ 1136 / 5906 ] simplifiying candidate # 428.788 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 428.788 * * [simplify]: iters left: 6 (52 enodes) 428.802 * * [simplify]: iters left: 5 (250 enodes) 428.856 * * [simplify]: Extracting #0: cost 1 inf + 0 428.856 * * [simplify]: Extracting #1: cost 3 inf + 0 428.856 * * [simplify]: Extracting #2: cost 10 inf + 0 428.856 * * [simplify]: Extracting #3: cost 63 inf + 0 428.856 * * [simplify]: Extracting #4: cost 122 inf + 1 428.857 * * [simplify]: Extracting #5: cost 165 inf + 207 428.857 * * [simplify]: Extracting #6: cost 233 inf + 1554 428.861 * * [simplify]: Extracting #7: cost 211 inf + 4928 428.863 * * [simplify]: Extracting #8: cost 152 inf + 16125 428.868 * * [simplify]: Extracting #9: cost 103 inf + 31234 428.876 * * [simplify]: Extracting #10: cost 47 inf + 56229 428.891 * * [simplify]: Extracting #11: cost 8 inf + 89777 428.910 * * [simplify]: Extracting #12: cost 1 inf + 98712 428.929 * * [simplify]: Extracting #13: cost 0 inf + 100537 428.948 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 428.949 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 428.949 * * * * [progress]: [ 1137 / 5906 ] simplifiying candidate # 428.950 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 428.951 * * [simplify]: iters left: 6 (47 enodes) 428.963 * * [simplify]: iters left: 5 (222 enodes) 429.007 * * [simplify]: Extracting #0: cost 1 inf + 0 429.007 * * [simplify]: Extracting #1: cost 3 inf + 0 429.007 * * [simplify]: Extracting #2: cost 10 inf + 0 429.007 * * [simplify]: Extracting #3: cost 57 inf + 0 429.008 * * [simplify]: Extracting #4: cost 103 inf + 86 429.008 * * [simplify]: Extracting #5: cost 123 inf + 1918 429.009 * * [simplify]: Extracting #6: cost 195 inf + 2932 429.010 * * [simplify]: Extracting #7: cost 188 inf + 4600 429.013 * * [simplify]: Extracting #8: cost 130 inf + 18253 429.020 * * [simplify]: Extracting #9: cost 72 inf + 41157 429.035 * * [simplify]: Extracting #10: cost 5 inf + 76038 429.051 * * [simplify]: Extracting #11: cost 1 inf + 80698 429.067 * * [simplify]: Extracting #12: cost 0 inf + 82283 429.083 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 429.083 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 429.084 * * * * [progress]: [ 1138 / 5906 ] simplifiying candidate # 429.084 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 429.084 * * [simplify]: iters left: 6 (52 enodes) 429.099 * * [simplify]: iters left: 5 (249 enodes) 429.155 * * [simplify]: Extracting #0: cost 1 inf + 0 429.155 * * [simplify]: Extracting #1: cost 3 inf + 0 429.155 * * [simplify]: Extracting #2: cost 6 inf + 0 429.155 * * [simplify]: Extracting #3: cost 46 inf + 0 429.156 * * [simplify]: Extracting #4: cost 112 inf + 0 429.156 * * [simplify]: Extracting #5: cost 179 inf + 0 429.157 * * [simplify]: Extracting #6: cost 261 inf + 47 429.158 * * [simplify]: Extracting #7: cost 209 inf + 8007 429.162 * * [simplify]: Extracting #8: cost 135 inf + 23369 429.169 * * [simplify]: Extracting #9: cost 79 inf + 45280 429.179 * * [simplify]: Extracting #10: cost 42 inf + 60877 429.198 * * [simplify]: Extracting #11: cost 8 inf + 93527 429.218 * * [simplify]: Extracting #12: cost 0 inf + 103767 429.238 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 429.238 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 429.239 * * * * [progress]: [ 1139 / 5906 ] simplifiying candidate # 429.239 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 429.240 * * [simplify]: iters left: 6 (53 enodes) 429.254 * * [simplify]: iters left: 5 (258 enodes) 429.310 * * [simplify]: Extracting #0: cost 1 inf + 0 429.310 * * [simplify]: Extracting #1: cost 3 inf + 0 429.310 * * [simplify]: Extracting #2: cost 6 inf + 0 429.311 * * [simplify]: Extracting #3: cost 50 inf + 0 429.311 * * [simplify]: Extracting #4: cost 135 inf + 0 429.311 * * [simplify]: Extracting #5: cost 192 inf + 85 429.312 * * [simplify]: Extracting #6: cost 243 inf + 3027 429.315 * * [simplify]: Extracting #7: cost 184 inf + 15132 429.319 * * [simplify]: Extracting #8: cost 137 inf + 25093 429.325 * * [simplify]: Extracting #9: cost 89 inf + 42425 429.336 * * [simplify]: Extracting #10: cost 45 inf + 63739 429.355 * * [simplify]: Extracting #11: cost 8 inf + 97624 429.376 * * [simplify]: Extracting #12: cost 0 inf + 107144 429.397 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 429.397 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 429.397 * * * * [progress]: [ 1140 / 5906 ] simplifiying candidate # 429.398 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 429.398 * * [simplify]: iters left: 6 (53 enodes) 429.413 * * [simplify]: iters left: 5 (258 enodes) 429.472 * * [simplify]: Extracting #0: cost 1 inf + 0 429.472 * * [simplify]: Extracting #1: cost 3 inf + 0 429.472 * * [simplify]: Extracting #2: cost 6 inf + 0 429.472 * * [simplify]: Extracting #3: cost 52 inf + 0 429.472 * * [simplify]: Extracting #4: cost 133 inf + 0 429.473 * * [simplify]: Extracting #5: cost 189 inf + 44 429.474 * * [simplify]: Extracting #6: cost 228 inf + 5368 429.477 * * [simplify]: Extracting #7: cost 183 inf + 13440 429.481 * * [simplify]: Extracting #8: cost 143 inf + 21155 429.487 * * [simplify]: Extracting #9: cost 94 inf + 40298 429.497 * * [simplify]: Extracting #10: cost 43 inf + 62381 429.513 * * [simplify]: Extracting #11: cost 12 inf + 91156 429.536 * * [simplify]: Extracting #12: cost 0 inf + 104856 429.557 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 429.557 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 429.558 * * * * [progress]: [ 1141 / 5906 ] simplifiying candidate # 429.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 429.558 * * [simplify]: iters left: 6 (47 enodes) 429.571 * * [simplify]: iters left: 5 (222 enodes) 429.618 * * [simplify]: Extracting #0: cost 1 inf + 0 429.618 * * [simplify]: Extracting #1: cost 3 inf + 0 429.618 * * [simplify]: Extracting #2: cost 6 inf + 0 429.618 * * [simplify]: Extracting #3: cost 47 inf + 0 429.619 * * [simplify]: Extracting #4: cost 107 inf + 0 429.619 * * [simplify]: Extracting #5: cost 139 inf + 370 429.620 * * [simplify]: Extracting #6: cost 195 inf + 2454 429.621 * * [simplify]: Extracting #7: cost 167 inf + 7899 429.625 * * [simplify]: Extracting #8: cost 119 inf + 19392 429.632 * * [simplify]: Extracting #9: cost 59 inf + 43957 429.645 * * [simplify]: Extracting #10: cost 9 inf + 76679 429.662 * * [simplify]: Extracting #11: cost 1 inf + 84466 429.679 * * [simplify]: Extracting #12: cost 0 inf + 86051 429.698 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 429.698 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 429.699 * * * * [progress]: [ 1142 / 5906 ] simplifiying candidate # 429.699 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 429.699 * * [simplify]: iters left: 6 (52 enodes) 429.714 * * [simplify]: iters left: 5 (250 enodes) 429.768 * * [simplify]: Extracting #0: cost 1 inf + 0 429.768 * * [simplify]: Extracting #1: cost 3 inf + 0 429.768 * * [simplify]: Extracting #2: cost 10 inf + 0 429.768 * * [simplify]: Extracting #3: cost 63 inf + 0 429.768 * * [simplify]: Extracting #4: cost 122 inf + 1 429.769 * * [simplify]: Extracting #5: cost 161 inf + 207 429.772 * * [simplify]: Extracting #6: cost 219 inf + 5124 429.774 * * [simplify]: Extracting #7: cost 187 inf + 9882 429.777 * * [simplify]: Extracting #8: cost 134 inf + 21625 429.783 * * [simplify]: Extracting #9: cost 86 inf + 39832 429.792 * * [simplify]: Extracting #10: cost 43 inf + 57472 429.806 * * [simplify]: Extracting #11: cost 6 inf + 88917 429.824 * * [simplify]: Extracting #12: cost 1 inf + 95202 429.843 * * [simplify]: Extracting #13: cost 0 inf + 96547 429.862 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 429.862 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 429.863 * * * * [progress]: [ 1143 / 5906 ] simplifiying candidate # 429.863 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 429.864 * * [simplify]: iters left: 6 (47 enodes) 429.876 * * [simplify]: iters left: 5 (222 enodes) 429.921 * * [simplify]: Extracting #0: cost 1 inf + 0 429.921 * * [simplify]: Extracting #1: cost 3 inf + 0 429.921 * * [simplify]: Extracting #2: cost 10 inf + 0 429.921 * * [simplify]: Extracting #3: cost 58 inf + 0 429.921 * * [simplify]: Extracting #4: cost 104 inf + 44 429.921 * * [simplify]: Extracting #5: cost 127 inf + 1023 429.922 * * [simplify]: Extracting #6: cost 189 inf + 3016 429.924 * * [simplify]: Extracting #7: cost 163 inf + 7574 429.928 * * [simplify]: Extracting #8: cost 97 inf + 27692 429.942 * * [simplify]: Extracting #9: cost 14 inf + 70451 429.956 * * [simplify]: Extracting #10: cost 4 inf + 76606 429.972 * * [simplify]: Extracting #11: cost 1 inf + 79868 429.987 * * [simplify]: Extracting #12: cost 0 inf + 81413 430.003 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 430.003 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 430.004 * * * * [progress]: [ 1144 / 5906 ] simplifiying candidate # 430.004 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 430.004 * * [simplify]: iters left: 6 (52 enodes) 430.019 * * [simplify]: iters left: 5 (250 enodes) 430.074 * * [simplify]: Extracting #0: cost 1 inf + 0 430.074 * * [simplify]: Extracting #1: cost 3 inf + 0 430.074 * * [simplify]: Extracting #2: cost 10 inf + 0 430.074 * * [simplify]: Extracting #3: cost 63 inf + 0 430.075 * * [simplify]: Extracting #4: cost 122 inf + 1 430.075 * * [simplify]: Extracting #5: cost 161 inf + 207 430.076 * * [simplify]: Extracting #6: cost 227 inf + 1759 430.077 * * [simplify]: Extracting #7: cost 192 inf + 7735 430.081 * * [simplify]: Extracting #8: cost 135 inf + 21551 430.087 * * [simplify]: Extracting #9: cost 87 inf + 40367 430.096 * * [simplify]: Extracting #10: cost 43 inf + 58432 430.113 * * [simplify]: Extracting #11: cost 7 inf + 88132 430.131 * * [simplify]: Extracting #12: cost 1 inf + 96162 430.150 * * [simplify]: Extracting #13: cost 0 inf + 97507 430.170 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 430.170 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 430.170 * * * * [progress]: [ 1145 / 5906 ] simplifiying candidate # 430.171 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 430.171 * * [simplify]: iters left: 6 (47 enodes) 430.183 * * [simplify]: iters left: 5 (222 enodes) 430.231 * * [simplify]: Extracting #0: cost 1 inf + 0 430.231 * * [simplify]: Extracting #1: cost 3 inf + 0 430.232 * * [simplify]: Extracting #2: cost 10 inf + 0 430.232 * * [simplify]: Extracting #3: cost 57 inf + 0 430.232 * * [simplify]: Extracting #4: cost 103 inf + 86 430.232 * * [simplify]: Extracting #5: cost 119 inf + 1918 430.233 * * [simplify]: Extracting #6: cost 189 inf + 2976 430.235 * * [simplify]: Extracting #7: cost 164 inf + 7493 430.239 * * [simplify]: Extracting #8: cost 96 inf + 28956 430.251 * * [simplify]: Extracting #9: cost 16 inf + 71569 430.272 * * [simplify]: Extracting #10: cost 1 inf + 80428 430.290 * * [simplify]: Extracting #11: cost 0 inf + 81893 430.306 * * [simplify]: Extracting #12: cost 0 inf + 81813 430.322 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 430.322 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 430.323 * * * * [progress]: [ 1146 / 5906 ] simplifiying candidate # 430.323 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 430.323 * * [simplify]: iters left: 6 (52 enodes) 430.337 * * [simplify]: iters left: 5 (250 enodes) 430.392 * * [simplify]: Extracting #0: cost 1 inf + 0 430.392 * * [simplify]: Extracting #1: cost 3 inf + 0 430.392 * * [simplify]: Extracting #2: cost 6 inf + 0 430.392 * * [simplify]: Extracting #3: cost 46 inf + 0 430.393 * * [simplify]: Extracting #4: cost 112 inf + 0 430.393 * * [simplify]: Extracting #5: cost 182 inf + 0 430.394 * * [simplify]: Extracting #6: cost 266 inf + 45 430.395 * * [simplify]: Extracting #7: cost 236 inf + 3867 430.398 * * [simplify]: Extracting #8: cost 144 inf + 21016 430.404 * * [simplify]: Extracting #9: cost 87 inf + 38809 430.413 * * [simplify]: Extracting #10: cost 46 inf + 58609 430.430 * * [simplify]: Extracting #11: cost 6 inf + 95807 430.453 * * [simplify]: Extracting #12: cost 1 inf + 101372 430.473 * * [simplify]: Extracting #13: cost 0 inf + 103117 430.494 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 430.494 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 430.494 * * * * [progress]: [ 1147 / 5906 ] simplifiying candidate # 430.495 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 430.495 * * [simplify]: iters left: 6 (53 enodes) 430.509 * * [simplify]: iters left: 5 (259 enodes) 430.567 * * [simplify]: Extracting #0: cost 1 inf + 0 430.567 * * [simplify]: Extracting #1: cost 3 inf + 0 430.568 * * [simplify]: Extracting #2: cost 6 inf + 0 430.568 * * [simplify]: Extracting #3: cost 50 inf + 0 430.568 * * [simplify]: Extracting #4: cost 135 inf + 0 430.568 * * [simplify]: Extracting #5: cost 194 inf + 127 430.569 * * [simplify]: Extracting #6: cost 247 inf + 3105 430.572 * * [simplify]: Extracting #7: cost 213 inf + 9862 430.576 * * [simplify]: Extracting #8: cost 146 inf + 22164 430.583 * * [simplify]: Extracting #9: cost 92 inf + 40822 430.593 * * [simplify]: Extracting #10: cost 43 inf + 64541 430.610 * * [simplify]: Extracting #11: cost 9 inf + 97549 430.634 * * [simplify]: Extracting #12: cost 0 inf + 108414 430.655 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 430.655 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 430.656 * * * * [progress]: [ 1148 / 5906 ] simplifiying candidate # 430.656 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 430.657 * * [simplify]: iters left: 6 (53 enodes) 430.671 * * [simplify]: iters left: 5 (259 enodes) 430.728 * * [simplify]: Extracting #0: cost 1 inf + 0 430.728 * * [simplify]: Extracting #1: cost 3 inf + 0 430.728 * * [simplify]: Extracting #2: cost 6 inf + 0 430.728 * * [simplify]: Extracting #3: cost 52 inf + 0 430.729 * * [simplify]: Extracting #4: cost 133 inf + 0 430.729 * * [simplify]: Extracting #5: cost 192 inf + 44 430.730 * * [simplify]: Extracting #6: cost 238 inf + 4556 430.733 * * [simplify]: Extracting #7: cost 190 inf + 12940 430.738 * * [simplify]: Extracting #8: cost 126 inf + 29165 430.746 * * [simplify]: Extracting #9: cost 58 inf + 53375 430.762 * * [simplify]: Extracting #10: cost 12 inf + 90466 430.785 * * [simplify]: Extracting #11: cost 0 inf + 104806 430.806 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 430.806 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 430.806 * * * * [progress]: [ 1149 / 5906 ] simplifiying candidate # 430.807 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 430.807 * * [simplify]: iters left: 6 (47 enodes) 430.819 * * [simplify]: iters left: 5 (223 enodes) 430.867 * * [simplify]: Extracting #0: cost 1 inf + 0 430.867 * * [simplify]: Extracting #1: cost 3 inf + 0 430.867 * * [simplify]: Extracting #2: cost 6 inf + 0 430.867 * * [simplify]: Extracting #3: cost 47 inf + 0 430.867 * * [simplify]: Extracting #4: cost 107 inf + 0 430.868 * * [simplify]: Extracting #5: cost 144 inf + 86 430.868 * * [simplify]: Extracting #6: cost 207 inf + 1478 430.870 * * [simplify]: Extracting #7: cost 195 inf + 3995 430.873 * * [simplify]: Extracting #8: cost 126 inf + 18458 430.880 * * [simplify]: Extracting #9: cost 59 inf + 43597 430.896 * * [simplify]: Extracting #10: cost 8 inf + 76921 430.913 * * [simplify]: Extracting #11: cost 0 inf + 86001 430.930 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 430.930 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 430.931 * * * * [progress]: [ 1150 / 5906 ] simplifiying candidate # 430.931 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 430.931 * * [simplify]: iters left: 6 (52 enodes) 430.945 * * [simplify]: iters left: 5 (251 enodes) 430.999 * * [simplify]: Extracting #0: cost 1 inf + 0 430.999 * * [simplify]: Extracting #1: cost 3 inf + 0 430.999 * * [simplify]: Extracting #2: cost 10 inf + 0 430.999 * * [simplify]: Extracting #3: cost 63 inf + 0 431.000 * * [simplify]: Extracting #4: cost 122 inf + 1 431.000 * * [simplify]: Extracting #5: cost 164 inf + 207 431.001 * * [simplify]: Extracting #6: cost 234 inf + 1795 431.002 * * [simplify]: Extracting #7: cost 210 inf + 5210 431.006 * * [simplify]: Extracting #8: cost 127 inf + 24532 431.012 * * [simplify]: Extracting #9: cost 71 inf + 43376 431.028 * * [simplify]: Extracting #10: cost 17 inf + 82925 431.046 * * [simplify]: Extracting #11: cost 2 inf + 96247 431.065 * * [simplify]: Extracting #12: cost 1 inf + 98072 431.084 * * [simplify]: Extracting #13: cost 0 inf + 99897 431.104 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 431.104 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 431.104 * * * * [progress]: [ 1151 / 5906 ] simplifiying candidate # 431.105 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 431.105 * * [simplify]: iters left: 6 (47 enodes) 431.117 * * [simplify]: iters left: 5 (223 enodes) 431.164 * * [simplify]: Extracting #0: cost 1 inf + 0 431.164 * * [simplify]: Extracting #1: cost 3 inf + 0 431.164 * * [simplify]: Extracting #2: cost 10 inf + 0 431.164 * * [simplify]: Extracting #3: cost 58 inf + 0 431.164 * * [simplify]: Extracting #4: cost 104 inf + 44 431.164 * * [simplify]: Extracting #5: cost 129 inf + 1064 431.165 * * [simplify]: Extracting #6: cost 195 inf + 2972 431.167 * * [simplify]: Extracting #7: cost 185 inf + 5245 431.170 * * [simplify]: Extracting #8: cost 108 inf + 24994 431.180 * * [simplify]: Extracting #9: cost 32 inf + 59895 431.195 * * [simplify]: Extracting #10: cost 6 inf + 76279 431.215 * * [simplify]: Extracting #11: cost 0 inf + 82123 431.232 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 431.232 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 431.232 * * * * [progress]: [ 1152 / 5906 ] simplifiying candidate # 431.233 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 431.233 * * [simplify]: iters left: 6 (52 enodes) 431.246 * * [simplify]: iters left: 5 (251 enodes) 431.301 * * [simplify]: Extracting #0: cost 1 inf + 0 431.301 * * [simplify]: Extracting #1: cost 3 inf + 0 431.301 * * [simplify]: Extracting #2: cost 10 inf + 0 431.301 * * [simplify]: Extracting #3: cost 63 inf + 0 431.301 * * [simplify]: Extracting #4: cost 122 inf + 1 431.302 * * [simplify]: Extracting #5: cost 164 inf + 207 431.303 * * [simplify]: Extracting #6: cost 232 inf + 1676 431.304 * * [simplify]: Extracting #7: cost 209 inf + 5412 431.307 * * [simplify]: Extracting #8: cost 129 inf + 23762 431.314 * * [simplify]: Extracting #9: cost 71 inf + 43473 431.328 * * [simplify]: Extracting #10: cost 17 inf + 83285 431.347 * * [simplify]: Extracting #11: cost 2 inf + 96287 431.368 * * [simplify]: Extracting #12: cost 1 inf + 98072 431.388 * * [simplify]: Extracting #13: cost 0 inf + 99857 431.408 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 431.408 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 431.409 * * * * [progress]: [ 1153 / 5906 ] simplifiying candidate # 431.409 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 431.409 * * [simplify]: iters left: 6 (47 enodes) 431.421 * * [simplify]: iters left: 5 (223 enodes) 431.468 * * [simplify]: Extracting #0: cost 1 inf + 0 431.468 * * [simplify]: Extracting #1: cost 3 inf + 0 431.468 * * [simplify]: Extracting #2: cost 10 inf + 0 431.468 * * [simplify]: Extracting #3: cost 57 inf + 0 431.469 * * [simplify]: Extracting #4: cost 103 inf + 86 431.469 * * [simplify]: Extracting #5: cost 125 inf + 1472 431.470 * * [simplify]: Extracting #6: cost 195 inf + 2932 431.471 * * [simplify]: Extracting #7: cost 184 inf + 5326 431.475 * * [simplify]: Extracting #8: cost 106 inf + 25942 431.484 * * [simplify]: Extracting #9: cost 41 inf + 53947 431.498 * * [simplify]: Extracting #10: cost 6 inf + 76519 431.516 * * [simplify]: Extracting #11: cost 0 inf + 82523 431.533 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 431.533 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 431.534 * * * * [progress]: [ 1154 / 5906 ] simplifiying candidate # 431.534 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 431.534 * * [simplify]: iters left: 6 (52 enodes) 431.551 * * [simplify]: iters left: 5 (250 enodes) 431.605 * * [simplify]: Extracting #0: cost 1 inf + 0 431.605 * * [simplify]: Extracting #1: cost 3 inf + 0 431.605 * * [simplify]: Extracting #2: cost 6 inf + 0 431.605 * * [simplify]: Extracting #3: cost 46 inf + 0 431.605 * * [simplify]: Extracting #4: cost 112 inf + 0 431.605 * * [simplify]: Extracting #5: cost 179 inf + 0 431.606 * * [simplify]: Extracting #6: cost 261 inf + 47 431.608 * * [simplify]: Extracting #7: cost 208 inf + 8289 431.613 * * [simplify]: Extracting #8: cost 125 inf + 28988 431.623 * * [simplify]: Extracting #9: cost 74 inf + 47682 431.633 * * [simplify]: Extracting #10: cost 44 inf + 59427 431.649 * * [simplify]: Extracting #11: cost 6 inf + 96537 431.669 * * [simplify]: Extracting #12: cost 1 inf + 102182 431.690 * * [simplify]: Extracting #13: cost 0 inf + 104007 431.711 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 431.711 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 431.712 * * * * [progress]: [ 1155 / 5906 ] simplifiying candidate # 431.712 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 431.712 * * [simplify]: iters left: 6 (53 enodes) 431.727 * * [simplify]: iters left: 5 (259 enodes) 431.783 * * [simplify]: Extracting #0: cost 1 inf + 0 431.783 * * [simplify]: Extracting #1: cost 3 inf + 0 431.783 * * [simplify]: Extracting #2: cost 6 inf + 0 431.783 * * [simplify]: Extracting #3: cost 50 inf + 0 431.783 * * [simplify]: Extracting #4: cost 135 inf + 0 431.784 * * [simplify]: Extracting #5: cost 192 inf + 85 431.785 * * [simplify]: Extracting #6: cost 240 inf + 3191 431.791 * * [simplify]: Extracting #7: cost 169 inf + 22536 431.798 * * [simplify]: Extracting #8: cost 114 inf + 38715 431.806 * * [simplify]: Extracting #9: cost 77 inf + 51166 431.817 * * [simplify]: Extracting #10: cost 38 inf + 67954 431.835 * * [simplify]: Extracting #11: cost 10 inf + 95774 431.856 * * [simplify]: Extracting #12: cost 0 inf + 107304 431.877 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 431.878 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 431.878 * * * * [progress]: [ 1156 / 5906 ] simplifiying candidate # 431.879 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 431.880 * * [simplify]: iters left: 6 (53 enodes) 431.893 * * [simplify]: iters left: 5 (259 enodes) 431.948 * * [simplify]: Extracting #0: cost 1 inf + 0 431.948 * * [simplify]: Extracting #1: cost 3 inf + 0 431.948 * * [simplify]: Extracting #2: cost 6 inf + 0 431.948 * * [simplify]: Extracting #3: cost 52 inf + 0 431.949 * * [simplify]: Extracting #4: cost 133 inf + 0 431.949 * * [simplify]: Extracting #5: cost 189 inf + 44 431.953 * * [simplify]: Extracting #6: cost 232 inf + 4800 431.955 * * [simplify]: Extracting #7: cost 176 inf + 15133 431.961 * * [simplify]: Extracting #8: cost 111 inf + 34243 431.971 * * [simplify]: Extracting #9: cost 43 inf + 62941 431.987 * * [simplify]: Extracting #10: cost 12 inf + 91276 432.007 * * [simplify]: Extracting #11: cost 0 inf + 106256 432.028 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 432.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 432.029 * * * * [progress]: [ 1157 / 5906 ] simplifiying candidate # 432.029 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 432.030 * * [simplify]: iters left: 6 (47 enodes) 432.043 * * [simplify]: iters left: 5 (223 enodes) 432.089 * * [simplify]: Extracting #0: cost 1 inf + 0 432.089 * * [simplify]: Extracting #1: cost 3 inf + 0 432.089 * * [simplify]: Extracting #2: cost 6 inf + 0 432.089 * * [simplify]: Extracting #3: cost 47 inf + 0 432.089 * * [simplify]: Extracting #4: cost 107 inf + 0 432.090 * * [simplify]: Extracting #5: cost 141 inf + 86 432.090 * * [simplify]: Extracting #6: cost 202 inf + 1360 432.092 * * [simplify]: Extracting #7: cost 171 inf + 7211 432.096 * * [simplify]: Extracting #8: cost 105 inf + 26232 432.105 * * [simplify]: Extracting #9: cost 47 inf + 51235 432.121 * * [simplify]: Extracting #10: cost 10 inf + 75974 432.139 * * [simplify]: Extracting #11: cost 0 inf + 86291 432.156 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 432.156 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 432.157 * * * * [progress]: [ 1158 / 5906 ] simplifiying candidate # 432.157 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 432.157 * * [simplify]: iters left: 6 (52 enodes) 432.171 * * [simplify]: iters left: 5 (251 enodes) 432.226 * * [simplify]: Extracting #0: cost 1 inf + 0 432.226 * * [simplify]: Extracting #1: cost 3 inf + 0 432.226 * * [simplify]: Extracting #2: cost 10 inf + 0 432.226 * * [simplify]: Extracting #3: cost 63 inf + 0 432.226 * * [simplify]: Extracting #4: cost 122 inf + 1 432.227 * * [simplify]: Extracting #5: cost 161 inf + 207 432.227 * * [simplify]: Extracting #6: cost 227 inf + 1880 432.229 * * [simplify]: Extracting #7: cost 193 inf + 7612 432.233 * * [simplify]: Extracting #8: cost 118 inf + 25423 432.241 * * [simplify]: Extracting #9: cost 50 inf + 53409 432.256 * * [simplify]: Extracting #10: cost 7 inf + 88572 432.274 * * [simplify]: Extracting #11: cost 1 inf + 95082 432.296 * * [simplify]: Extracting #12: cost 0 inf + 96827 432.315 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 432.315 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 432.315 * * * * [progress]: [ 1159 / 5906 ] simplifiying candidate # 432.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 432.316 * * [simplify]: iters left: 6 (47 enodes) 432.328 * * [simplify]: iters left: 5 (223 enodes) 432.375 * * [simplify]: Extracting #0: cost 1 inf + 0 432.375 * * [simplify]: Extracting #1: cost 3 inf + 0 432.375 * * [simplify]: Extracting #2: cost 10 inf + 0 432.375 * * [simplify]: Extracting #3: cost 58 inf + 0 432.376 * * [simplify]: Extracting #4: cost 104 inf + 44 432.376 * * [simplify]: Extracting #5: cost 126 inf + 1064 432.377 * * [simplify]: Extracting #6: cost 189 inf + 3016 432.378 * * [simplify]: Extracting #7: cost 163 inf + 8017 432.382 * * [simplify]: Extracting #8: cost 123 inf + 18479 432.388 * * [simplify]: Extracting #9: cost 77 inf + 36886 432.396 * * [simplify]: Extracting #10: cost 36 inf + 52952 432.409 * * [simplify]: Extracting #11: cost 5 inf + 75208 432.425 * * [simplify]: Extracting #12: cost 0 inf + 81573 432.443 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 432.443 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 432.443 * * * * [progress]: [ 1160 / 5906 ] simplifiying candidate # 432.443 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 432.444 * * [simplify]: iters left: 6 (52 enodes) 432.460 * * [simplify]: iters left: 5 (251 enodes) 432.512 * * [simplify]: Extracting #0: cost 1 inf + 0 432.513 * * [simplify]: Extracting #1: cost 3 inf + 0 432.513 * * [simplify]: Extracting #2: cost 10 inf + 0 432.513 * * [simplify]: Extracting #3: cost 63 inf + 0 432.513 * * [simplify]: Extracting #4: cost 122 inf + 1 432.513 * * [simplify]: Extracting #5: cost 161 inf + 207 432.514 * * [simplify]: Extracting #6: cost 224 inf + 1963 432.516 * * [simplify]: Extracting #7: cost 193 inf + 7532 432.520 * * [simplify]: Extracting #8: cost 119 inf + 25321 432.530 * * [simplify]: Extracting #9: cost 51 inf + 54264 432.545 * * [simplify]: Extracting #10: cost 7 inf + 89532 432.564 * * [simplify]: Extracting #11: cost 1 inf + 96042 432.583 * * [simplify]: Extracting #12: cost 0 inf + 97787 432.602 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 432.602 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 432.603 * * * * [progress]: [ 1161 / 5906 ] simplifiying candidate # 432.603 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 432.603 * * [simplify]: iters left: 6 (47 enodes) 432.616 * * [simplify]: iters left: 5 (223 enodes) 432.662 * * [simplify]: Extracting #0: cost 1 inf + 0 432.662 * * [simplify]: Extracting #1: cost 3 inf + 0 432.662 * * [simplify]: Extracting #2: cost 10 inf + 0 432.662 * * [simplify]: Extracting #3: cost 57 inf + 0 432.662 * * [simplify]: Extracting #4: cost 103 inf + 86 432.663 * * [simplify]: Extracting #5: cost 122 inf + 1472 432.664 * * [simplify]: Extracting #6: cost 189 inf + 2976 432.665 * * [simplify]: Extracting #7: cost 162 inf + 8098 432.669 * * [simplify]: Extracting #8: cost 122 inf + 19163 432.675 * * [simplify]: Extracting #9: cost 75 inf + 38114 432.684 * * [simplify]: Extracting #10: cost 36 inf + 53352 432.698 * * [simplify]: Extracting #11: cost 5 inf + 75608 432.714 * * [simplify]: Extracting #12: cost 0 inf + 81973 432.730 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 432.730 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 432.731 * * * * [progress]: [ 1162 / 5906 ] simplifiying candidate # 432.731 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 432.731 * * [simplify]: iters left: 6 (47 enodes) 432.745 * * [simplify]: iters left: 5 (230 enodes) 432.801 * * [simplify]: Extracting #0: cost 1 inf + 0 432.801 * * [simplify]: Extracting #1: cost 3 inf + 0 432.801 * * [simplify]: Extracting #2: cost 6 inf + 0 432.801 * * [simplify]: Extracting #3: cost 52 inf + 0 432.801 * * [simplify]: Extracting #4: cost 118 inf + 0 432.801 * * [simplify]: Extracting #5: cost 191 inf + 0 432.802 * * [simplify]: Extracting #6: cost 270 inf + 169 432.803 * * [simplify]: Extracting #7: cost 249 inf + 3908 432.806 * * [simplify]: Extracting #8: cost 155 inf + 20875 432.812 * * [simplify]: Extracting #9: cost 98 inf + 38524 432.822 * * [simplify]: Extracting #10: cost 51 inf + 60062 432.834 * * [simplify]: Extracting #11: cost 37 inf + 70488 432.852 * * [simplify]: Extracting #12: cost 4 inf + 101313 432.877 * * [simplify]: Extracting #13: cost 0 inf + 107533 432.899 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 432.899 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 432.900 * * * * [progress]: [ 1163 / 5906 ] simplifiying candidate # 432.900 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 432.900 * * [simplify]: iters left: 6 (48 enodes) 432.913 * * [simplify]: iters left: 5 (239 enodes) 432.969 * * [simplify]: Extracting #0: cost 1 inf + 0 432.969 * * [simplify]: Extracting #1: cost 3 inf + 0 432.969 * * [simplify]: Extracting #2: cost 6 inf + 0 432.969 * * [simplify]: Extracting #3: cost 56 inf + 0 432.969 * * [simplify]: Extracting #4: cost 141 inf + 0 432.970 * * [simplify]: Extracting #5: cost 202 inf + 248 432.971 * * [simplify]: Extracting #6: cost 250 inf + 4472 432.973 * * [simplify]: Extracting #7: cost 229 inf + 9137 432.976 * * [simplify]: Extracting #8: cost 160 inf + 21286 432.983 * * [simplify]: Extracting #9: cost 94 inf + 43766 433.000 * * [simplify]: Extracting #10: cost 16 inf + 93152 433.021 * * [simplify]: Extracting #11: cost 1 inf + 109125 433.047 * * [simplify]: Extracting #12: cost 0 inf + 110950 433.071 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) 433.071 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ phi1 phi2) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 433.072 * * * * [progress]: [ 1164 / 5906 ] simplifiying candidate # 433.072 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 433.073 * * [simplify]: iters left: 6 (48 enodes) 433.086 * * [simplify]: iters left: 5 (239 enodes) 433.142 * * [simplify]: Extracting #0: cost 1 inf + 0 433.143 * * [simplify]: Extracting #1: cost 3 inf + 0 433.143 * * [simplify]: Extracting #2: cost 6 inf + 0 433.143 * * [simplify]: Extracting #3: cost 58 inf + 0 433.143 * * [simplify]: Extracting #4: cost 139 inf + 0 433.143 * * [simplify]: Extracting #5: cost 197 inf + 210 433.145 * * [simplify]: Extracting #6: cost 244 inf + 4357 433.147 * * [simplify]: Extracting #7: cost 226 inf + 9135 433.150 * * [simplify]: Extracting #8: cost 155 inf + 21617 433.156 * * [simplify]: Extracting #9: cost 104 inf + 37049 433.167 * * [simplify]: Extracting #10: cost 42 inf + 70495 433.186 * * [simplify]: Extracting #11: cost 7 inf + 102007 433.210 * * [simplify]: Extracting #12: cost 0 inf + 109662 433.233 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) 433.233 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 433.234 * * * * [progress]: [ 1165 / 5906 ] simplifiying candidate # 433.234 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 433.234 * * [simplify]: iters left: 6 (42 enodes) 433.246 * * [simplify]: iters left: 5 (203 enodes) 433.289 * * [simplify]: Extracting #0: cost 1 inf + 0 433.289 * * [simplify]: Extracting #1: cost 3 inf + 0 433.289 * * [simplify]: Extracting #2: cost 6 inf + 0 433.290 * * [simplify]: Extracting #3: cost 50 inf + 0 433.290 * * [simplify]: Extracting #4: cost 107 inf + 0 433.292 * * [simplify]: Extracting #5: cost 149 inf + 44 433.293 * * [simplify]: Extracting #6: cost 211 inf + 1475 433.295 * * [simplify]: Extracting #7: cost 195 inf + 5610 433.298 * * [simplify]: Extracting #8: cost 119 inf + 22062 433.305 * * [simplify]: Extracting #9: cost 72 inf + 39141 433.318 * * [simplify]: Extracting #10: cost 15 inf + 76762 433.336 * * [simplify]: Extracting #11: cost 0 inf + 88201 433.355 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 433.355 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 433.355 * * * * [progress]: [ 1166 / 5906 ] simplifiying candidate # 433.356 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 433.356 * * [simplify]: iters left: 6 (47 enodes) 433.368 * * [simplify]: iters left: 5 (231 enodes) 433.423 * * [simplify]: Extracting #0: cost 1 inf + 0 433.423 * * [simplify]: Extracting #1: cost 3 inf + 0 433.423 * * [simplify]: Extracting #2: cost 10 inf + 0 433.423 * * [simplify]: Extracting #3: cost 70 inf + 0 433.424 * * [simplify]: Extracting #4: cost 124 inf + 42 433.424 * * [simplify]: Extracting #5: cost 169 inf + 290 433.425 * * [simplify]: Extracting #6: cost 234 inf + 2121 433.426 * * [simplify]: Extracting #7: cost 221 inf + 6491 433.430 * * [simplify]: Extracting #8: cost 122 inf + 27394 433.439 * * [simplify]: Extracting #9: cost 56 inf + 55434 433.451 * * [simplify]: Extracting #10: cost 25 inf + 77391 433.472 * * [simplify]: Extracting #11: cost 4 inf + 95152 433.492 * * [simplify]: Extracting #12: cost 0 inf + 101972 433.513 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 433.513 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 433.514 * * * * [progress]: [ 1167 / 5906 ] simplifiying candidate # 433.514 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 433.514 * * [simplify]: iters left: 6 (42 enodes) 433.525 * * [simplify]: iters left: 5 (203 enodes) 433.570 * * [simplify]: Extracting #0: cost 1 inf + 0 433.570 * * [simplify]: Extracting #1: cost 3 inf + 0 433.570 * * [simplify]: Extracting #2: cost 10 inf + 0 433.571 * * [simplify]: Extracting #3: cost 62 inf + 0 433.571 * * [simplify]: Extracting #4: cost 104 inf + 86 433.572 * * [simplify]: Extracting #5: cost 129 inf + 1716 433.572 * * [simplify]: Extracting #6: cost 199 inf + 2932 433.574 * * [simplify]: Extracting #7: cost 199 inf + 4399 433.576 * * [simplify]: Extracting #8: cost 134 inf + 16413 433.583 * * [simplify]: Extracting #9: cost 78 inf + 40398 433.594 * * [simplify]: Extracting #10: cost 23 inf + 65396 433.610 * * [simplify]: Extracting #11: cost 4 inf + 80631 433.627 * * [simplify]: Extracting #12: cost 1 inf + 83546 433.648 * * [simplify]: Extracting #13: cost 0 inf + 85091 433.665 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 433.665 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 433.666 * * * * [progress]: [ 1168 / 5906 ] simplifiying candidate # 433.666 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 433.667 * * [simplify]: iters left: 6 (47 enodes) 433.679 * * [simplify]: iters left: 5 (231 enodes) 433.734 * * [simplify]: Extracting #0: cost 1 inf + 0 433.734 * * [simplify]: Extracting #1: cost 3 inf + 0 433.734 * * [simplify]: Extracting #2: cost 10 inf + 0 433.734 * * [simplify]: Extracting #3: cost 70 inf + 0 433.735 * * [simplify]: Extracting #4: cost 124 inf + 42 433.735 * * [simplify]: Extracting #5: cost 168 inf + 332 433.736 * * [simplify]: Extracting #6: cost 225 inf + 3938 433.738 * * [simplify]: Extracting #7: cost 223 inf + 6128 433.742 * * [simplify]: Extracting #8: cost 121 inf + 27433 433.750 * * [simplify]: Extracting #9: cost 56 inf + 56074 433.763 * * [simplify]: Extracting #10: cost 25 inf + 78351 433.781 * * [simplify]: Extracting #11: cost 4 inf + 96112 433.802 * * [simplify]: Extracting #12: cost 0 inf + 102932 433.826 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 433.826 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 433.826 * * * * [progress]: [ 1169 / 5906 ] simplifiying candidate # 433.827 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 433.827 * * [simplify]: iters left: 6 (42 enodes) 433.838 * * [simplify]: iters left: 5 (203 enodes) 433.882 * * [simplify]: Extracting #0: cost 1 inf + 0 433.882 * * [simplify]: Extracting #1: cost 3 inf + 0 433.882 * * [simplify]: Extracting #2: cost 10 inf + 0 433.882 * * [simplify]: Extracting #3: cost 61 inf + 0 433.882 * * [simplify]: Extracting #4: cost 104 inf + 86 433.883 * * [simplify]: Extracting #5: cost 132 inf + 1310 433.884 * * [simplify]: Extracting #6: cost 199 inf + 2932 433.885 * * [simplify]: Extracting #7: cost 201 inf + 4155 433.888 * * [simplify]: Extracting #8: cost 132 inf + 16936 433.897 * * [simplify]: Extracting #9: cost 77 inf + 40282 433.909 * * [simplify]: Extracting #10: cost 20 inf + 68937 433.926 * * [simplify]: Extracting #11: cost 2 inf + 82401 433.943 * * [simplify]: Extracting #12: cost 1 inf + 83946 433.966 * * [simplify]: Extracting #13: cost 0 inf + 85491 433.984 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 433.984 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 433.984 * * * * [progress]: [ 1170 / 5906 ] simplifiying candidate # 433.985 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 433.985 * * [simplify]: iters left: 6 (47 enodes) 433.999 * * [simplify]: iters left: 5 (226 enodes) 434.048 * * [simplify]: Extracting #0: cost 1 inf + 0 434.048 * * [simplify]: Extracting #1: cost 3 inf + 0 434.048 * * [simplify]: Extracting #2: cost 6 inf + 0 434.048 * * [simplify]: Extracting #3: cost 48 inf + 0 434.048 * * [simplify]: Extracting #4: cost 116 inf + 0 434.048 * * [simplify]: Extracting #5: cost 172 inf + 0 434.049 * * [simplify]: Extracting #6: cost 242 inf + 169 434.050 * * [simplify]: Extracting #7: cost 215 inf + 4851 434.053 * * [simplify]: Extracting #8: cost 130 inf + 20949 434.059 * * [simplify]: Extracting #9: cost 71 inf + 41420 434.072 * * [simplify]: Extracting #10: cost 37 inf + 60996 434.089 * * [simplify]: Extracting #11: cost 3 inf + 88762 434.107 * * [simplify]: Extracting #12: cost 1 inf + 91732 434.126 * * [simplify]: Extracting #13: cost 0 inf + 93237 434.145 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 434.145 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 434.146 * * * * [progress]: [ 1171 / 5906 ] simplifiying candidate # 434.146 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 434.146 * * [simplify]: iters left: 6 (48 enodes) 434.159 * * [simplify]: iters left: 5 (235 enodes) 434.212 * * [simplify]: Extracting #0: cost 1 inf + 0 434.212 * * [simplify]: Extracting #1: cost 3 inf + 0 434.212 * * [simplify]: Extracting #2: cost 6 inf + 0 434.212 * * [simplify]: Extracting #3: cost 52 inf + 0 434.212 * * [simplify]: Extracting #4: cost 139 inf + 0 434.213 * * [simplify]: Extracting #5: cost 181 inf + 332 434.214 * * [simplify]: Extracting #6: cost 211 inf + 5694 434.216 * * [simplify]: Extracting #7: cost 193 inf + 10754 434.219 * * [simplify]: Extracting #8: cost 136 inf + 20509 434.225 * * [simplify]: Extracting #9: cost 93 inf + 35211 434.234 * * [simplify]: Extracting #10: cost 50 inf + 55830 434.252 * * [simplify]: Extracting #11: cost 7 inf + 90119 434.273 * * [simplify]: Extracting #12: cost 0 inf + 96214 434.293 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 434.293 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 434.294 * * * * [progress]: [ 1172 / 5906 ] simplifiying candidate # 434.294 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 434.294 * * [simplify]: iters left: 6 (48 enodes) 434.307 * * [simplify]: iters left: 5 (235 enodes) 434.360 * * [simplify]: Extracting #0: cost 1 inf + 0 434.360 * * [simplify]: Extracting #1: cost 3 inf + 0 434.360 * * [simplify]: Extracting #2: cost 6 inf + 0 434.361 * * [simplify]: Extracting #3: cost 54 inf + 0 434.361 * * [simplify]: Extracting #4: cost 137 inf + 0 434.361 * * [simplify]: Extracting #5: cost 179 inf + 168 434.362 * * [simplify]: Extracting #6: cost 217 inf + 3956 434.364 * * [simplify]: Extracting #7: cost 198 inf + 9135 434.367 * * [simplify]: Extracting #8: cost 141 inf + 18239 434.373 * * [simplify]: Extracting #9: cost 88 inf + 36324 434.383 * * [simplify]: Extracting #10: cost 33 inf + 65085 434.400 * * [simplify]: Extracting #11: cost 1 inf + 91061 434.422 * * [simplify]: Extracting #12: cost 0 inf + 92606 434.441 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 434.441 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 434.442 * * * * [progress]: [ 1173 / 5906 ] simplifiying candidate # 434.442 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 434.442 * * [simplify]: iters left: 6 (42 enodes) 434.454 * * [simplify]: iters left: 5 (199 enodes) 434.497 * * [simplify]: Extracting #0: cost 1 inf + 0 434.497 * * [simplify]: Extracting #1: cost 3 inf + 0 434.497 * * [simplify]: Extracting #2: cost 6 inf + 0 434.497 * * [simplify]: Extracting #3: cost 46 inf + 0 434.497 * * [simplify]: Extracting #4: cost 96 inf + 0 434.497 * * [simplify]: Extracting #5: cost 119 inf + 127 434.498 * * [simplify]: Extracting #6: cost 173 inf + 1276 434.499 * * [simplify]: Extracting #7: cost 164 inf + 4358 434.501 * * [simplify]: Extracting #8: cost 127 inf + 9432 434.505 * * [simplify]: Extracting #9: cost 85 inf + 25460 434.516 * * [simplify]: Extracting #10: cost 12 inf + 67947 434.530 * * [simplify]: Extracting #11: cost 0 inf + 69947 434.544 * * [simplify]: Extracting #12: cost 0 inf + 68688 434.559 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 434.559 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 434.560 * * * * [progress]: [ 1174 / 5906 ] simplifiying candidate # 434.560 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 434.561 * * [simplify]: iters left: 6 (47 enodes) 434.575 * * [simplify]: iters left: 5 (227 enodes) 434.625 * * [simplify]: Extracting #0: cost 1 inf + 0 434.625 * * [simplify]: Extracting #1: cost 3 inf + 0 434.625 * * [simplify]: Extracting #2: cost 10 inf + 0 434.625 * * [simplify]: Extracting #3: cost 66 inf + 0 434.625 * * [simplify]: Extracting #4: cost 118 inf + 42 434.626 * * [simplify]: Extracting #5: cost 143 inf + 332 434.626 * * [simplify]: Extracting #6: cost 198 inf + 2526 434.628 * * [simplify]: Extracting #7: cost 190 inf + 5697 434.630 * * [simplify]: Extracting #8: cost 139 inf + 13771 434.635 * * [simplify]: Extracting #9: cost 85 inf + 31439 434.642 * * [simplify]: Extracting #10: cost 53 inf + 44981 434.651 * * [simplify]: Extracting #11: cost 30 inf + 60415 434.668 * * [simplify]: Extracting #12: cost 3 inf + 82370 434.685 * * [simplify]: Extracting #13: cost 1 inf + 85340 434.702 * * [simplify]: Extracting #14: cost 0 inf + 86845 434.719 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 434.719 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 434.720 * * * * [progress]: [ 1175 / 5906 ] simplifiying candidate # 434.720 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 434.720 * * [simplify]: iters left: 6 (42 enodes) 434.732 * * [simplify]: iters left: 5 (200 enodes) 434.774 * * [simplify]: Extracting #0: cost 1 inf + 0 434.774 * * [simplify]: Extracting #1: cost 3 inf + 0 434.774 * * [simplify]: Extracting #2: cost 10 inf + 0 434.774 * * [simplify]: Extracting #3: cost 51 inf + 0 434.774 * * [simplify]: Extracting #4: cost 95 inf + 86 434.774 * * [simplify]: Extracting #5: cost 108 inf + 1108 434.775 * * [simplify]: Extracting #6: cost 165 inf + 2852 434.776 * * [simplify]: Extracting #7: cost 164 inf + 4158 434.780 * * [simplify]: Extracting #8: cost 82 inf + 27098 434.791 * * [simplify]: Extracting #9: cost 17 inf + 61231 434.804 * * [simplify]: Extracting #10: cost 0 inf + 67815 434.817 * * [simplify]: Extracting #11: cost 0 inf + 67262 434.830 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 434.830 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 434.831 * * * * [progress]: [ 1176 / 5906 ] simplifiying candidate # 434.831 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 434.832 * * [simplify]: iters left: 6 (47 enodes) 434.846 * * [simplify]: iters left: 5 (227 enodes) 434.895 * * [simplify]: Extracting #0: cost 1 inf + 0 434.895 * * [simplify]: Extracting #1: cost 3 inf + 0 434.896 * * [simplify]: Extracting #2: cost 10 inf + 0 434.896 * * [simplify]: Extracting #3: cost 66 inf + 0 434.896 * * [simplify]: Extracting #4: cost 118 inf + 42 434.897 * * [simplify]: Extracting #5: cost 143 inf + 333 434.898 * * [simplify]: Extracting #6: cost 192 inf + 4100 434.899 * * [simplify]: Extracting #7: cost 190 inf + 5898 434.901 * * [simplify]: Extracting #8: cost 138 inf + 14023 434.906 * * [simplify]: Extracting #9: cost 84 inf + 31944 434.916 * * [simplify]: Extracting #10: cost 53 inf + 45781 434.925 * * [simplify]: Extracting #11: cost 30 inf + 61295 434.940 * * [simplify]: Extracting #12: cost 3 inf + 83250 434.957 * * [simplify]: Extracting #13: cost 1 inf + 86220 434.974 * * [simplify]: Extracting #14: cost 0 inf + 87725 434.991 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 434.991 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 434.992 * * * * [progress]: [ 1177 / 5906 ] simplifiying candidate # 434.992 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 434.992 * * [simplify]: iters left: 6 (42 enodes) 435.005 * * [simplify]: iters left: 5 (200 enodes) 435.044 * * [simplify]: Extracting #0: cost 1 inf + 0 435.044 * * [simplify]: Extracting #1: cost 3 inf + 0 435.045 * * [simplify]: Extracting #2: cost 10 inf + 0 435.045 * * [simplify]: Extracting #3: cost 50 inf + 0 435.045 * * [simplify]: Extracting #4: cost 94 inf + 208 435.045 * * [simplify]: Extracting #5: cost 104 inf + 1636 435.046 * * [simplify]: Extracting #6: cost 165 inf + 2852 435.047 * * [simplify]: Extracting #7: cost 162 inf + 4402 435.051 * * [simplify]: Extracting #8: cost 82 inf + 27941 435.061 * * [simplify]: Extracting #9: cost 19 inf + 58599 435.074 * * [simplify]: Extracting #10: cost 2 inf + 66787 435.089 * * [simplify]: Extracting #11: cost 0 inf + 67582 435.102 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 435.102 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 435.103 * * * * [progress]: [ 1178 / 5906 ] simplifiying candidate # 435.103 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 435.103 * * [simplify]: iters left: 6 (43 enodes) 435.115 * * [simplify]: iters left: 5 (202 enodes) 435.159 * * [simplify]: Extracting #0: cost 1 inf + 0 435.159 * * [simplify]: Extracting #1: cost 3 inf + 0 435.159 * * [simplify]: Extracting #2: cost 6 inf + 0 435.159 * * [simplify]: Extracting #3: cost 44 inf + 0 435.160 * * [simplify]: Extracting #4: cost 103 inf + 0 435.160 * * [simplify]: Extracting #5: cost 161 inf + 1 435.163 * * [simplify]: Extracting #6: cost 210 inf + 929 435.164 * * [simplify]: Extracting #7: cost 193 inf + 5396 435.166 * * [simplify]: Extracting #8: cost 113 inf + 19816 435.171 * * [simplify]: Extracting #9: cost 81 inf + 30199 435.178 * * [simplify]: Extracting #10: cost 44 inf + 49072 435.190 * * [simplify]: Extracting #11: cost 12 inf + 74919 435.208 * * [simplify]: Extracting #12: cost 0 inf + 84025 435.225 * * [simplify]: Extracting #13: cost 0 inf + 82846 435.243 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))))) 435.243 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 435.244 * * * * [progress]: [ 1179 / 5906 ] simplifiying candidate # 435.244 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 435.244 * * [simplify]: iters left: 6 (44 enodes) 435.257 * * [simplify]: iters left: 5 (211 enodes) 435.304 * * [simplify]: Extracting #0: cost 1 inf + 0 435.304 * * [simplify]: Extracting #1: cost 3 inf + 0 435.304 * * [simplify]: Extracting #2: cost 6 inf + 0 435.304 * * [simplify]: Extracting #3: cost 48 inf + 0 435.304 * * [simplify]: Extracting #4: cost 126 inf + 0 435.305 * * [simplify]: Extracting #5: cost 169 inf + 675 435.306 * * [simplify]: Extracting #6: cost 191 inf + 5815 435.308 * * [simplify]: Extracting #7: cost 165 inf + 12228 435.311 * * [simplify]: Extracting #8: cost 119 inf + 19891 435.317 * * [simplify]: Extracting #9: cost 72 inf + 37898 435.325 * * [simplify]: Extracting #10: cost 39 inf + 52721 435.340 * * [simplify]: Extracting #11: cost 8 inf + 81225 435.357 * * [simplify]: Extracting #12: cost 0 inf + 85936 435.374 * * [simplify]: Extracting #13: cost 0 inf + 85543 435.392 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 435.392 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 435.393 * * * * [progress]: [ 1180 / 5906 ] simplifiying candidate # 435.393 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 435.393 * * [simplify]: iters left: 6 (44 enodes) 435.405 * * [simplify]: iters left: 5 (211 enodes) 435.454 * * [simplify]: Extracting #0: cost 1 inf + 0 435.454 * * [simplify]: Extracting #1: cost 3 inf + 0 435.454 * * [simplify]: Extracting #2: cost 6 inf + 0 435.454 * * [simplify]: Extracting #3: cost 50 inf + 0 435.454 * * [simplify]: Extracting #4: cost 124 inf + 0 435.455 * * [simplify]: Extracting #5: cost 159 inf + 1506 435.456 * * [simplify]: Extracting #6: cost 180 inf + 6295 435.458 * * [simplify]: Extracting #7: cost 164 inf + 10789 435.461 * * [simplify]: Extracting #8: cost 113 inf + 20106 435.467 * * [simplify]: Extracting #9: cost 70 inf + 37120 435.475 * * [simplify]: Extracting #10: cost 39 inf + 50102 435.487 * * [simplify]: Extracting #11: cost 13 inf + 73768 435.506 * * [simplify]: Extracting #12: cost 0 inf + 83263 435.523 * * [simplify]: Extracting #13: cost 0 inf + 82215 435.540 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 435.540 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 435.541 * * * * [progress]: [ 1181 / 5906 ] simplifiying candidate # 435.541 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 435.541 * * [simplify]: iters left: 6 (38 enodes) 435.552 * * [simplify]: iters left: 5 (175 enodes) 435.591 * * [simplify]: iters left: 4 (457 enodes) 435.734 * * [simplify]: Extracting #0: cost 1 inf + 0 435.734 * * [simplify]: Extracting #1: cost 3 inf + 0 435.734 * * [simplify]: Extracting #2: cost 16 inf + 0 435.734 * * [simplify]: Extracting #3: cost 130 inf + 0 435.735 * * [simplify]: Extracting #4: cost 329 inf + 86 435.737 * * [simplify]: Extracting #5: cost 402 inf + 5370 435.742 * * [simplify]: Extracting #6: cost 396 inf + 18429 435.756 * * [simplify]: Extracting #7: cost 214 inf + 80342 435.785 * * [simplify]: Extracting #8: cost 56 inf + 153461 435.826 * * [simplify]: Extracting #9: cost 3 inf + 183153 435.867 * * [simplify]: Extracting #10: cost 0 inf + 185228 435.907 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 435.907 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 435.908 * * * * [progress]: [ 1182 / 5906 ] simplifiying candidate # 435.908 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 435.908 * * [simplify]: iters left: 6 (43 enodes) 435.919 * * [simplify]: iters left: 5 (203 enodes) 435.965 * * [simplify]: Extracting #0: cost 1 inf + 0 435.965 * * [simplify]: Extracting #1: cost 3 inf + 0 435.965 * * [simplify]: Extracting #2: cost 10 inf + 0 435.965 * * [simplify]: Extracting #3: cost 58 inf + 0 435.966 * * [simplify]: Extracting #4: cost 107 inf + 1 435.966 * * [simplify]: Extracting #5: cost 135 inf + 544 435.967 * * [simplify]: Extracting #6: cost 171 inf + 4167 435.968 * * [simplify]: Extracting #7: cost 164 inf + 6702 435.971 * * [simplify]: Extracting #8: cost 96 inf + 20989 435.978 * * [simplify]: Extracting #9: cost 28 inf + 56751 435.990 * * [simplify]: Extracting #10: cost 7 inf + 68951 436.005 * * [simplify]: Extracting #11: cost 0 inf + 76090 436.020 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 436.020 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 436.021 * * * * [progress]: [ 1183 / 5906 ] simplifiying candidate # 436.021 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 436.021 * * [simplify]: iters left: 6 (38 enodes) 436.031 * * [simplify]: iters left: 5 (175 enodes) 436.069 * * [simplify]: iters left: 4 (438 enodes) 436.207 * * [simplify]: Extracting #0: cost 1 inf + 0 436.207 * * [simplify]: Extracting #1: cost 3 inf + 0 436.207 * * [simplify]: Extracting #2: cost 12 inf + 0 436.207 * * [simplify]: Extracting #3: cost 87 inf + 0 436.208 * * [simplify]: Extracting #4: cost 255 inf + 86 436.209 * * [simplify]: Extracting #5: cost 379 inf + 2288 436.213 * * [simplify]: Extracting #6: cost 363 inf + 18255 436.226 * * [simplify]: Extracting #7: cost 199 inf + 73018 436.256 * * [simplify]: Extracting #8: cost 41 inf + 143352 436.287 * * [simplify]: Extracting #9: cost 4 inf + 158144 436.319 * * [simplify]: Extracting #10: cost 0 inf + 159776 436.352 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) 436.352 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 436.353 * * * * [progress]: [ 1184 / 5906 ] simplifiying candidate # 436.353 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 436.353 * * [simplify]: iters left: 6 (43 enodes) 436.364 * * [simplify]: iters left: 5 (203 enodes) 436.408 * * [simplify]: Extracting #0: cost 1 inf + 0 436.408 * * [simplify]: Extracting #1: cost 3 inf + 0 436.409 * * [simplify]: Extracting #2: cost 10 inf + 0 436.409 * * [simplify]: Extracting #3: cost 58 inf + 0 436.409 * * [simplify]: Extracting #4: cost 107 inf + 1 436.412 * * [simplify]: Extracting #5: cost 134 inf + 798 436.413 * * [simplify]: Extracting #6: cost 176 inf + 2466 436.414 * * [simplify]: Extracting #7: cost 165 inf + 5948 436.417 * * [simplify]: Extracting #8: cost 95 inf + 21060 436.424 * * [simplify]: Extracting #9: cost 29 inf + 56547 436.437 * * [simplify]: Extracting #10: cost 6 inf + 71256 436.454 * * [simplify]: Extracting #11: cost 0 inf + 76890 436.469 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (- phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 436.469 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (- phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 436.470 * * * * [progress]: [ 1185 / 5906 ] simplifiying candidate # 436.470 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 436.470 * * [simplify]: iters left: 6 (38 enodes) 436.480 * * [simplify]: iters left: 5 (175 enodes) 436.517 * * [simplify]: iters left: 4 (438 enodes) 436.650 * * [simplify]: Extracting #0: cost 1 inf + 0 436.650 * * [simplify]: Extracting #1: cost 3 inf + 0 436.650 * * [simplify]: Extracting #2: cost 12 inf + 0 436.650 * * [simplify]: Extracting #3: cost 84 inf + 0 436.651 * * [simplify]: Extracting #4: cost 264 inf + 44 436.653 * * [simplify]: Extracting #5: cost 388 inf + 2244 436.657 * * [simplify]: Extracting #6: cost 366 inf + 19669 436.672 * * [simplify]: Extracting #7: cost 172 inf + 87139 436.703 * * [simplify]: Extracting #8: cost 29 inf + 150927 436.734 * * [simplify]: Extracting #9: cost 6 inf + 158828 436.769 * * [simplify]: Extracting #10: cost 0 inf + 161792 436.802 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) 436.802 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 436.803 * * * * [progress]: [ 1186 / 5906 ] simplifiying candidate # 436.803 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 436.803 * * [simplify]: iters left: 6 (47 enodes) 436.815 * * [simplify]: iters left: 5 (231 enodes) 436.869 * * [simplify]: Extracting #0: cost 1 inf + 0 436.869 * * [simplify]: Extracting #1: cost 3 inf + 0 436.869 * * [simplify]: Extracting #2: cost 6 inf + 0 436.869 * * [simplify]: Extracting #3: cost 52 inf + 0 436.869 * * [simplify]: Extracting #4: cost 118 inf + 0 436.870 * * [simplify]: Extracting #5: cost 190 inf + 0 436.870 * * [simplify]: Extracting #6: cost 252 inf + 885 436.871 * * [simplify]: Extracting #7: cost 223 inf + 5466 436.874 * * [simplify]: Extracting #8: cost 150 inf + 19048 436.880 * * [simplify]: Extracting #9: cost 92 inf + 36524 436.889 * * [simplify]: Extracting #10: cost 46 inf + 58100 436.906 * * [simplify]: Extracting #11: cost 5 inf + 94659 436.926 * * [simplify]: Extracting #12: cost 0 inf + 101504 436.947 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 436.947 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 436.947 * * * * [progress]: [ 1187 / 5906 ] simplifiying candidate # 436.948 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 436.950 * * [simplify]: iters left: 6 (48 enodes) 436.962 * * [simplify]: iters left: 5 (240 enodes) 437.015 * * [simplify]: Extracting #0: cost 1 inf + 0 437.015 * * [simplify]: Extracting #1: cost 3 inf + 0 437.015 * * [simplify]: Extracting #2: cost 6 inf + 0 437.016 * * [simplify]: Extracting #3: cost 56 inf + 0 437.016 * * [simplify]: Extracting #4: cost 141 inf + 0 437.016 * * [simplify]: Extracting #5: cost 199 inf + 412 437.018 * * [simplify]: Extracting #6: cost 219 inf + 6864 437.023 * * [simplify]: Extracting #7: cost 203 inf + 11033 437.026 * * [simplify]: Extracting #8: cost 134 inf + 24342 437.033 * * [simplify]: Extracting #9: cost 75 inf + 45385 437.050 * * [simplify]: Extracting #10: cost 13 inf + 93003 437.072 * * [simplify]: Extracting #11: cost 0 inf + 104561 437.093 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 437.094 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 437.094 * * * * [progress]: [ 1188 / 5906 ] simplifiying candidate # 437.094 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 437.095 * * [simplify]: iters left: 6 (48 enodes) 437.107 * * [simplify]: iters left: 5 (240 enodes) 437.162 * * [simplify]: Extracting #0: cost 1 inf + 0 437.162 * * [simplify]: Extracting #1: cost 3 inf + 0 437.162 * * [simplify]: Extracting #2: cost 6 inf + 0 437.162 * * [simplify]: Extracting #3: cost 58 inf + 0 437.163 * * [simplify]: Extracting #4: cost 139 inf + 0 437.163 * * [simplify]: Extracting #5: cost 195 inf + 252 437.164 * * [simplify]: Extracting #6: cost 229 inf + 4318 437.166 * * [simplify]: Extracting #7: cost 202 inf + 10587 437.170 * * [simplify]: Extracting #8: cost 136 inf + 23733 437.178 * * [simplify]: Extracting #9: cost 66 inf + 49969 437.197 * * [simplify]: Extracting #10: cost 9 inf + 94269 437.218 * * [simplify]: Extracting #11: cost 0 inf + 103433 437.239 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) 437.239 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 437.240 * * * * [progress]: [ 1189 / 5906 ] simplifiying candidate # 437.240 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 437.241 * * [simplify]: iters left: 6 (42 enodes) 437.251 * * [simplify]: iters left: 5 (204 enodes) 437.296 * * [simplify]: Extracting #0: cost 1 inf + 0 437.296 * * [simplify]: Extracting #1: cost 3 inf + 0 437.297 * * [simplify]: Extracting #2: cost 6 inf + 0 437.297 * * [simplify]: Extracting #3: cost 50 inf + 0 437.297 * * [simplify]: Extracting #4: cost 107 inf + 0 437.297 * * [simplify]: Extracting #5: cost 146 inf + 126 437.298 * * [simplify]: Extracting #6: cost 197 inf + 1111 437.299 * * [simplify]: Extracting #7: cost 177 inf + 5411 437.301 * * [simplify]: Extracting #8: cost 134 inf + 11504 437.305 * * [simplify]: Extracting #9: cost 101 inf + 21614 437.312 * * [simplify]: Extracting #10: cost 49 inf + 43019 437.322 * * [simplify]: Extracting #11: cost 24 inf + 58732 437.337 * * [simplify]: Extracting #12: cost 1 inf + 80547 437.353 * * [simplify]: Extracting #13: cost 0 inf + 82172 437.373 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 437.373 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 437.374 * * * * [progress]: [ 1190 / 5906 ] simplifiying candidate # 437.374 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 437.374 * * [simplify]: iters left: 6 (47 enodes) 437.387 * * [simplify]: iters left: 5 (232 enodes) 437.438 * * [simplify]: Extracting #0: cost 1 inf + 0 437.438 * * [simplify]: Extracting #1: cost 3 inf + 0 437.438 * * [simplify]: Extracting #2: cost 10 inf + 0 437.438 * * [simplify]: Extracting #3: cost 70 inf + 0 437.438 * * [simplify]: Extracting #4: cost 124 inf + 42 437.441 * * [simplify]: Extracting #5: cost 168 inf + 290 437.442 * * [simplify]: Extracting #6: cost 217 inf + 2404 437.443 * * [simplify]: Extracting #7: cost 198 inf + 6900 437.446 * * [simplify]: Extracting #8: cost 151 inf + 15410 437.451 * * [simplify]: Extracting #9: cost 96 inf + 36357 437.460 * * [simplify]: Extracting #10: cost 50 inf + 53973 437.471 * * [simplify]: Extracting #11: cost 29 inf + 67858 437.488 * * [simplify]: Extracting #12: cost 4 inf + 89883 437.508 * * [simplify]: Extracting #13: cost 1 inf + 95078 437.528 * * [simplify]: Extracting #14: cost 0 inf + 96863 437.550 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 437.550 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 437.550 * * * * [progress]: [ 1191 / 5906 ] simplifiying candidate # 437.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 437.551 * * [simplify]: iters left: 6 (42 enodes) 437.563 * * [simplify]: iters left: 5 (204 enodes) 437.608 * * [simplify]: Extracting #0: cost 1 inf + 0 437.608 * * [simplify]: Extracting #1: cost 3 inf + 0 437.608 * * [simplify]: Extracting #2: cost 10 inf + 0 437.608 * * [simplify]: Extracting #3: cost 62 inf + 0 437.609 * * [simplify]: Extracting #4: cost 104 inf + 86 437.609 * * [simplify]: Extracting #5: cost 130 inf + 1472 437.611 * * [simplify]: Extracting #6: cost 184 inf + 2932 437.612 * * [simplify]: Extracting #7: cost 181 inf + 4519 437.620 * * [simplify]: Extracting #8: cost 116 inf + 16575 437.627 * * [simplify]: Extracting #9: cost 55 inf + 40212 437.638 * * [simplify]: Extracting #10: cost 16 inf + 63875 437.654 * * [simplify]: Extracting #11: cost 1 inf + 77557 437.670 * * [simplify]: Extracting #12: cost 0 inf + 79102 437.687 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 437.687 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 437.687 * * * * [progress]: [ 1192 / 5906 ] simplifiying candidate # 437.688 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 437.688 * * [simplify]: iters left: 6 (47 enodes) 437.700 * * [simplify]: iters left: 5 (232 enodes) 437.751 * * [simplify]: Extracting #0: cost 1 inf + 0 437.751 * * [simplify]: Extracting #1: cost 3 inf + 0 437.751 * * [simplify]: Extracting #2: cost 10 inf + 0 437.752 * * [simplify]: Extracting #3: cost 70 inf + 0 437.752 * * [simplify]: Extracting #4: cost 124 inf + 42 437.752 * * [simplify]: Extracting #5: cost 167 inf + 332 437.753 * * [simplify]: Extracting #6: cost 211 inf + 3657 437.755 * * [simplify]: Extracting #7: cost 198 inf + 6900 437.757 * * [simplify]: Extracting #8: cost 152 inf + 15158 437.763 * * [simplify]: Extracting #9: cost 95 inf + 38059 437.772 * * [simplify]: Extracting #10: cost 48 inf + 55783 437.783 * * [simplify]: Extracting #11: cost 29 inf + 68818 437.802 * * [simplify]: Extracting #12: cost 4 inf + 90843 437.822 * * [simplify]: Extracting #13: cost 1 inf + 96038 437.842 * * [simplify]: Extracting #14: cost 0 inf + 97823 437.862 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 437.862 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 437.862 * * * * [progress]: [ 1193 / 5906 ] simplifiying candidate # 437.863 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 437.863 * * [simplify]: iters left: 6 (42 enodes) 437.874 * * [simplify]: iters left: 5 (204 enodes) 437.919 * * [simplify]: Extracting #0: cost 1 inf + 0 437.919 * * [simplify]: Extracting #1: cost 3 inf + 0 437.919 * * [simplify]: Extracting #2: cost 10 inf + 0 437.919 * * [simplify]: Extracting #3: cost 61 inf + 0 437.919 * * [simplify]: Extracting #4: cost 103 inf + 208 437.920 * * [simplify]: Extracting #5: cost 128 inf + 1836 437.921 * * [simplify]: Extracting #6: cost 184 inf + 2932 437.923 * * [simplify]: Extracting #7: cost 180 inf + 4640 437.926 * * [simplify]: Extracting #8: cost 115 inf + 16878 437.933 * * [simplify]: Extracting #9: cost 52 inf + 41792 437.944 * * [simplify]: Extracting #10: cost 14 inf + 65192 437.960 * * [simplify]: Extracting #11: cost 1 inf + 77957 437.979 * * [simplify]: Extracting #12: cost 0 inf + 79502 437.995 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 437.995 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 437.996 * * * * [progress]: [ 1194 / 5906 ] simplifiying candidate # 437.996 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 437.996 * * [simplify]: iters left: 6 (48 enodes) 438.008 * * [simplify]: iters left: 5 (227 enodes) 438.059 * * [simplify]: Extracting #0: cost 1 inf + 0 438.059 * * [simplify]: Extracting #1: cost 3 inf + 0 438.059 * * [simplify]: Extracting #2: cost 6 inf + 0 438.059 * * [simplify]: Extracting #3: cost 52 inf + 0 438.059 * * [simplify]: Extracting #4: cost 118 inf + 0 438.060 * * [simplify]: Extracting #5: cost 191 inf + 0 438.060 * * [simplify]: Extracting #6: cost 254 inf + 339 438.062 * * [simplify]: Extracting #7: cost 211 inf + 6219 438.065 * * [simplify]: Extracting #8: cost 140 inf + 20858 438.070 * * [simplify]: Extracting #9: cost 93 inf + 37859 438.080 * * [simplify]: Extracting #10: cost 46 inf + 59629 438.096 * * [simplify]: Extracting #11: cost 11 inf + 94144 438.116 * * [simplify]: Extracting #12: cost 0 inf + 106219 438.538 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 438.538 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 438.539 * * * * [progress]: [ 1195 / 5906 ] simplifiying candidate # 438.539 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 438.539 * * [simplify]: iters left: 6 (49 enodes) 438.553 * * [simplify]: iters left: 5 (236 enodes) 438.604 * * [simplify]: Extracting #0: cost 1 inf + 0 438.604 * * [simplify]: Extracting #1: cost 3 inf + 0 438.604 * * [simplify]: Extracting #2: cost 6 inf + 0 438.604 * * [simplify]: Extracting #3: cost 56 inf + 0 438.605 * * [simplify]: Extracting #4: cost 141 inf + 0 438.605 * * [simplify]: Extracting #5: cost 203 inf + 127 438.606 * * [simplify]: Extracting #6: cost 232 inf + 4518 438.608 * * [simplify]: Extracting #7: cost 200 inf + 10410 438.615 * * [simplify]: Extracting #8: cost 142 inf + 22360 438.622 * * [simplify]: Extracting #9: cost 87 inf + 46706 438.632 * * [simplify]: Extracting #10: cost 44 inf + 64456 438.649 * * [simplify]: Extracting #11: cost 9 inf + 98091 438.670 * * [simplify]: Extracting #12: cost 0 inf + 108796 438.691 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 438.691 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 438.691 * * * * [progress]: [ 1196 / 5906 ] simplifiying candidate # 438.692 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 438.692 * * [simplify]: iters left: 6 (49 enodes) 438.706 * * [simplify]: iters left: 5 (236 enodes) 438.757 * * [simplify]: Extracting #0: cost 1 inf + 0 438.757 * * [simplify]: Extracting #1: cost 3 inf + 0 438.757 * * [simplify]: Extracting #2: cost 6 inf + 0 438.757 * * [simplify]: Extracting #3: cost 58 inf + 0 438.758 * * [simplify]: Extracting #4: cost 139 inf + 0 438.758 * * [simplify]: Extracting #5: cost 199 inf + 166 438.759 * * [simplify]: Extracting #6: cost 220 inf + 6212 438.761 * * [simplify]: Extracting #7: cost 198 inf + 10547 438.766 * * [simplify]: Extracting #8: cost 127 inf + 26322 438.775 * * [simplify]: Extracting #9: cost 63 inf + 52252 438.787 * * [simplify]: Extracting #10: cost 33 inf + 72483 438.804 * * [simplify]: Extracting #11: cost 4 inf + 100568 438.825 * * [simplify]: Extracting #12: cost 0 inf + 106548 438.846 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 438.846 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 438.847 * * * * [progress]: [ 1197 / 5906 ] simplifiying candidate # 438.847 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 438.847 * * [simplify]: iters left: 6 (43 enodes) 438.859 * * [simplify]: iters left: 5 (200 enodes) 438.902 * * [simplify]: Extracting #0: cost 1 inf + 0 438.902 * * [simplify]: Extracting #1: cost 3 inf + 0 438.902 * * [simplify]: Extracting #2: cost 6 inf + 0 438.902 * * [simplify]: Extracting #3: cost 50 inf + 0 438.903 * * [simplify]: Extracting #4: cost 107 inf + 0 438.903 * * [simplify]: Extracting #5: cost 143 inf + 373 438.904 * * [simplify]: Extracting #6: cost 191 inf + 1721 438.905 * * [simplify]: Extracting #7: cost 182 inf + 3792 438.908 * * [simplify]: Extracting #8: cost 97 inf + 24965 438.915 * * [simplify]: Extracting #9: cost 53 inf + 42346 438.924 * * [simplify]: Extracting #10: cost 27 inf + 57665 438.939 * * [simplify]: Extracting #11: cost 3 inf + 78692 438.957 * * [simplify]: Extracting #12: cost 0 inf + 83407 438.973 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 438.973 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 438.974 * * * * [progress]: [ 1198 / 5906 ] simplifiying candidate # 438.974 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 438.975 * * [simplify]: iters left: 6 (48 enodes) 438.987 * * [simplify]: iters left: 5 (228 enodes) 439.037 * * [simplify]: Extracting #0: cost 1 inf + 0 439.037 * * [simplify]: Extracting #1: cost 3 inf + 0 439.037 * * [simplify]: Extracting #2: cost 10 inf + 0 439.037 * * [simplify]: Extracting #3: cost 70 inf + 0 439.037 * * [simplify]: Extracting #4: cost 124 inf + 42 439.038 * * [simplify]: Extracting #5: cost 171 inf + 207 439.039 * * [simplify]: Extracting #6: cost 220 inf + 1920 439.040 * * [simplify]: Extracting #7: cost 200 inf + 5858 439.043 * * [simplify]: Extracting #8: cost 136 inf + 21558 439.049 * * [simplify]: Extracting #9: cost 65 inf + 45892 439.065 * * [simplify]: Extracting #10: cost 7 inf + 93228 439.083 * * [simplify]: Extracting #11: cost 0 inf + 98658 439.103 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 439.103 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 439.103 * * * * [progress]: [ 1199 / 5906 ] simplifiying candidate # 439.104 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 439.104 * * [simplify]: iters left: 6 (43 enodes) 439.117 * * [simplify]: iters left: 5 (200 enodes) 439.158 * * [simplify]: Extracting #0: cost 1 inf + 0 439.158 * * [simplify]: Extracting #1: cost 3 inf + 0 439.158 * * [simplify]: Extracting #2: cost 10 inf + 0 439.158 * * [simplify]: Extracting #3: cost 62 inf + 0 439.158 * * [simplify]: Extracting #4: cost 104 inf + 86 439.159 * * [simplify]: Extracting #5: cost 135 inf + 945 439.160 * * [simplify]: Extracting #6: cost 184 inf + 2770 439.161 * * [simplify]: Extracting #7: cost 178 inf + 4315 439.165 * * [simplify]: Extracting #8: cost 113 inf + 19369 439.172 * * [simplify]: Extracting #9: cost 49 inf + 45951 439.185 * * [simplify]: Extracting #10: cost 12 inf + 70945 439.202 * * [simplify]: Extracting #11: cost 1 inf + 79512 439.218 * * [simplify]: Extracting #12: cost 0 inf + 80737 439.234 * * [simplify]: Extracting #13: cost 0 inf + 80697 439.250 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) 439.250 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 439.250 * * * * [progress]: [ 1200 / 5906 ] simplifiying candidate # 439.251 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 439.251 * * [simplify]: iters left: 6 (48 enodes) 439.263 * * [simplify]: iters left: 5 (228 enodes) 439.313 * * [simplify]: Extracting #0: cost 1 inf + 0 439.313 * * [simplify]: Extracting #1: cost 3 inf + 0 439.313 * * [simplify]: Extracting #2: cost 10 inf + 0 439.313 * * [simplify]: Extracting #3: cost 70 inf + 0 439.313 * * [simplify]: Extracting #4: cost 124 inf + 42 439.314 * * [simplify]: Extracting #5: cost 169 inf + 290 439.314 * * [simplify]: Extracting #6: cost 215 inf + 2728 439.316 * * [simplify]: Extracting #7: cost 200 inf + 5818 439.318 * * [simplify]: Extracting #8: cost 164 inf + 12095 439.322 * * [simplify]: Extracting #9: cost 98 inf + 31359 439.330 * * [simplify]: Extracting #10: cost 44 inf + 57682 439.346 * * [simplify]: Extracting #11: cost 4 inf + 95878 439.367 * * [simplify]: Extracting #12: cost 0 inf + 99618 439.386 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 439.386 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 439.387 * * * * [progress]: [ 1201 / 5906 ] simplifiying candidate # 439.387 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 439.388 * * [simplify]: iters left: 6 (43 enodes) 439.399 * * [simplify]: iters left: 5 (200 enodes) 439.439 * * [simplify]: Extracting #0: cost 1 inf + 0 439.439 * * [simplify]: Extracting #1: cost 3 inf + 0 439.439 * * [simplify]: Extracting #2: cost 10 inf + 0 439.439 * * [simplify]: Extracting #3: cost 61 inf + 0 439.439 * * [simplify]: Extracting #4: cost 105 inf + 44 439.440 * * [simplify]: Extracting #5: cost 137 inf + 740 439.441 * * [simplify]: Extracting #6: cost 184 inf + 2770 439.442 * * [simplify]: Extracting #7: cost 179 inf + 3993 439.448 * * [simplify]: Extracting #8: cost 106 inf + 23541 439.457 * * [simplify]: Extracting #9: cost 38 inf + 52990 439.471 * * [simplify]: Extracting #10: cost 10 inf + 71513 439.487 * * [simplify]: Extracting #11: cost 1 inf + 79592 439.503 * * [simplify]: Extracting #12: cost 0 inf + 81137 439.519 * * [simplify]: Extracting #13: cost 0 inf + 81097 439.536 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) 439.536 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 439.536 * * * * [progress]: [ 1202 / 5906 ] simplifiying candidate # 439.537 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 439.537 * * [simplify]: iters left: 6 (48 enodes) 439.550 * * [simplify]: iters left: 5 (228 enodes) 439.600 * * [simplify]: Extracting #0: cost 1 inf + 0 439.600 * * [simplify]: Extracting #1: cost 3 inf + 0 439.600 * * [simplify]: Extracting #2: cost 6 inf + 0 439.600 * * [simplify]: Extracting #3: cost 52 inf + 0 439.600 * * [simplify]: Extracting #4: cost 118 inf + 0 439.601 * * [simplify]: Extracting #5: cost 186 inf + 0 439.601 * * [simplify]: Extracting #6: cost 250 inf + 130 439.602 * * [simplify]: Extracting #7: cost 211 inf + 5634 439.606 * * [simplify]: Extracting #8: cost 118 inf + 25691 439.614 * * [simplify]: Extracting #9: cost 59 inf + 48986 439.626 * * [simplify]: Extracting #10: cost 35 inf + 66175 439.645 * * [simplify]: Extracting #11: cost 1 inf + 102964 439.665 * * [simplify]: Extracting #12: cost 0 inf + 104509 439.685 * * [simplify]: Extracting #13: cost 0 inf + 104469 439.706 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 439.706 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 439.707 * * * * [progress]: [ 1203 / 5906 ] simplifiying candidate # 439.707 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 439.707 * * [simplify]: iters left: 6 (49 enodes) 439.721 * * [simplify]: iters left: 5 (237 enodes) 439.776 * * [simplify]: Extracting #0: cost 1 inf + 0 439.776 * * [simplify]: Extracting #1: cost 3 inf + 0 439.776 * * [simplify]: Extracting #2: cost 6 inf + 0 439.776 * * [simplify]: Extracting #3: cost 56 inf + 0 439.776 * * [simplify]: Extracting #4: cost 141 inf + 0 439.777 * * [simplify]: Extracting #5: cost 198 inf + 128 439.777 * * [simplify]: Extracting #6: cost 237 inf + 2820 439.779 * * [simplify]: Extracting #7: cost 206 inf + 8586 439.782 * * [simplify]: Extracting #8: cost 144 inf + 19380 439.790 * * [simplify]: Extracting #9: cost 95 inf + 38242 439.799 * * [simplify]: Extracting #10: cost 46 inf + 61597 439.817 * * [simplify]: Extracting #11: cost 5 inf + 101441 439.837 * * [simplify]: Extracting #12: cost 0 inf + 106926 439.858 * * [simplify]: Extracting #13: cost 0 inf + 106886 439.878 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) 439.878 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 439.879 * * * * [progress]: [ 1204 / 5906 ] simplifiying candidate # 439.879 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 439.880 * * [simplify]: iters left: 6 (49 enodes) 439.893 * * [simplify]: iters left: 5 (237 enodes) 439.945 * * [simplify]: Extracting #0: cost 1 inf + 0 439.945 * * [simplify]: Extracting #1: cost 3 inf + 0 439.945 * * [simplify]: Extracting #2: cost 6 inf + 0 439.945 * * [simplify]: Extracting #3: cost 58 inf + 0 439.946 * * [simplify]: Extracting #4: cost 139 inf + 0 439.946 * * [simplify]: Extracting #5: cost 194 inf + 127 439.947 * * [simplify]: Extracting #6: cost 218 inf + 5609 439.950 * * [simplify]: Extracting #7: cost 184 inf + 13554 439.953 * * [simplify]: Extracting #8: cost 139 inf + 21918 439.961 * * [simplify]: Extracting #9: cost 95 inf + 36995 439.970 * * [simplify]: Extracting #10: cost 49 inf + 58493 439.981 * * [simplify]: Extracting #11: cost 34 inf + 68468 439.998 * * [simplify]: Extracting #12: cost 2 inf + 101868 440.019 * * [simplify]: Extracting #13: cost 0 inf + 104598 440.039 * * [simplify]: Extracting #14: cost 0 inf + 104558 440.060 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 440.060 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 440.061 * * * * [progress]: [ 1205 / 5906 ] simplifiying candidate # 440.061 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 440.062 * * [simplify]: iters left: 6 (43 enodes) 440.073 * * [simplify]: iters left: 5 (201 enodes) 440.115 * * [simplify]: Extracting #0: cost 1 inf + 0 440.115 * * [simplify]: Extracting #1: cost 3 inf + 0 440.115 * * [simplify]: Extracting #2: cost 6 inf + 0 440.115 * * [simplify]: Extracting #3: cost 50 inf + 0 440.115 * * [simplify]: Extracting #4: cost 107 inf + 0 440.116 * * [simplify]: Extracting #5: cost 138 inf + 414 440.117 * * [simplify]: Extracting #6: cost 184 inf + 2047 440.118 * * [simplify]: Extracting #7: cost 165 inf + 6115 440.120 * * [simplify]: Extracting #8: cost 137 inf + 10454 440.126 * * [simplify]: Extracting #9: cost 85 inf + 29718 440.134 * * [simplify]: Extracting #10: cost 38 inf + 48973 440.144 * * [simplify]: Extracting #11: cost 22 inf + 61307 440.159 * * [simplify]: Extracting #12: cost 3 inf + 80022 440.175 * * [simplify]: Extracting #13: cost 0 inf + 84857 440.192 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 440.192 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 440.192 * * * * [progress]: [ 1206 / 5906 ] simplifiying candidate # 440.193 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 440.193 * * [simplify]: iters left: 6 (48 enodes) 440.205 * * [simplify]: iters left: 5 (229 enodes) 440.255 * * [simplify]: Extracting #0: cost 1 inf + 0 440.255 * * [simplify]: Extracting #1: cost 3 inf + 0 440.255 * * [simplify]: Extracting #2: cost 10 inf + 0 440.255 * * [simplify]: Extracting #3: cost 70 inf + 0 440.255 * * [simplify]: Extracting #4: cost 124 inf + 42 440.255 * * [simplify]: Extracting #5: cost 166 inf + 207 440.256 * * [simplify]: Extracting #6: cost 211 inf + 2287 440.258 * * [simplify]: Extracting #7: cost 183 inf + 8139 440.261 * * [simplify]: Extracting #8: cost 132 inf + 20787 440.267 * * [simplify]: Extracting #9: cost 81 inf + 40095 440.276 * * [simplify]: Extracting #10: cost 37 inf + 59943 440.290 * * [simplify]: Extracting #11: cost 17 inf + 79603 440.309 * * [simplify]: Extracting #12: cost 0 inf + 98948 440.328 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 440.328 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 440.329 * * * * [progress]: [ 1207 / 5906 ] simplifiying candidate # 440.329 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 440.329 * * [simplify]: iters left: 6 (43 enodes) 440.340 * * [simplify]: iters left: 5 (201 enodes) 440.385 * * [simplify]: Extracting #0: cost 1 inf + 0 440.385 * * [simplify]: Extracting #1: cost 3 inf + 0 440.385 * * [simplify]: Extracting #2: cost 10 inf + 0 440.385 * * [simplify]: Extracting #3: cost 62 inf + 0 440.386 * * [simplify]: Extracting #4: cost 104 inf + 86 440.386 * * [simplify]: Extracting #5: cost 125 inf + 1594 440.387 * * [simplify]: Extracting #6: cost 177 inf + 2976 440.388 * * [simplify]: Extracting #7: cost 158 inf + 7407 440.392 * * [simplify]: Extracting #8: cost 105 inf + 20503 440.399 * * [simplify]: Extracting #9: cost 51 inf + 45646 440.412 * * [simplify]: Extracting #10: cost 9 inf + 71876 440.427 * * [simplify]: Extracting #11: cost 0 inf + 81187 440.443 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 440.443 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 440.443 * * * * [progress]: [ 1208 / 5906 ] simplifiying candidate # 440.444 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 440.444 * * [simplify]: iters left: 6 (48 enodes) 440.456 * * [simplify]: iters left: 5 (229 enodes) 440.506 * * [simplify]: Extracting #0: cost 1 inf + 0 440.506 * * [simplify]: Extracting #1: cost 3 inf + 0 440.506 * * [simplify]: Extracting #2: cost 10 inf + 0 440.506 * * [simplify]: Extracting #3: cost 70 inf + 0 440.507 * * [simplify]: Extracting #4: cost 124 inf + 42 440.507 * * [simplify]: Extracting #5: cost 164 inf + 290 440.508 * * [simplify]: Extracting #6: cost 216 inf + 1640 440.509 * * [simplify]: Extracting #7: cost 185 inf + 7655 440.512 * * [simplify]: Extracting #8: cost 134 inf + 20242 440.518 * * [simplify]: Extracting #9: cost 81 inf + 41094 440.527 * * [simplify]: Extracting #10: cost 39 inf + 59973 440.542 * * [simplify]: Extracting #11: cost 17 inf + 80563 440.561 * * [simplify]: Extracting #12: cost 0 inf + 99908 440.581 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 440.581 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 440.581 * * * * [progress]: [ 1209 / 5906 ] simplifiying candidate # 440.582 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 440.582 * * [simplify]: iters left: 6 (43 enodes) 440.593 * * [simplify]: iters left: 5 (201 enodes) 440.637 * * [simplify]: Extracting #0: cost 1 inf + 0 440.637 * * [simplify]: Extracting #1: cost 3 inf + 0 440.637 * * [simplify]: Extracting #2: cost 10 inf + 0 440.637 * * [simplify]: Extracting #3: cost 61 inf + 0 440.637 * * [simplify]: Extracting #4: cost 105 inf + 44 440.637 * * [simplify]: Extracting #5: cost 129 inf + 1146 440.638 * * [simplify]: Extracting #6: cost 177 inf + 2976 440.640 * * [simplify]: Extracting #7: cost 158 inf + 7206 440.643 * * [simplify]: Extracting #8: cost 106 inf + 20280 440.649 * * [simplify]: Extracting #9: cost 52 inf + 45061 440.662 * * [simplify]: Extracting #10: cost 9 inf + 72356 440.678 * * [simplify]: Extracting #11: cost 0 inf + 81587 440.694 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 440.694 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 440.695 * * * * [progress]: [ 1210 / 5906 ] simplifiying candidate # 440.695 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 440.695 * * [simplify]: iters left: 6 (48 enodes) 440.710 * * [simplify]: iters left: 5 (228 enodes) 440.759 * * [simplify]: Extracting #0: cost 1 inf + 0 440.759 * * [simplify]: Extracting #1: cost 3 inf + 0 440.759 * * [simplify]: Extracting #2: cost 6 inf + 0 440.759 * * [simplify]: Extracting #3: cost 52 inf + 0 440.759 * * [simplify]: Extracting #4: cost 118 inf + 0 440.760 * * [simplify]: Extracting #5: cost 190 inf + 0 440.760 * * [simplify]: Extracting #6: cost 255 inf + 127 440.761 * * [simplify]: Extracting #7: cost 217 inf + 4616 440.765 * * [simplify]: Extracting #8: cost 131 inf + 23384 440.773 * * [simplify]: Extracting #9: cost 58 inf + 51703 440.787 * * [simplify]: Extracting #10: cost 31 inf + 72524 440.805 * * [simplify]: Extracting #11: cost 1 inf + 103314 440.825 * * [simplify]: Extracting #12: cost 0 inf + 105059 440.845 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 440.846 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 440.846 * * * * [progress]: [ 1211 / 5906 ] simplifiying candidate # 440.846 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 440.847 * * [simplify]: iters left: 6 (49 enodes) 440.859 * * [simplify]: iters left: 5 (237 enodes) 440.912 * * [simplify]: Extracting #0: cost 1 inf + 0 440.912 * * [simplify]: Extracting #1: cost 3 inf + 0 440.912 * * [simplify]: Extracting #2: cost 6 inf + 0 440.912 * * [simplify]: Extracting #3: cost 56 inf + 0 440.912 * * [simplify]: Extracting #4: cost 141 inf + 0 440.913 * * [simplify]: Extracting #5: cost 203 inf + 86 440.913 * * [simplify]: Extracting #6: cost 245 inf + 2574 440.915 * * [simplify]: Extracting #7: cost 211 inf + 7568 440.918 * * [simplify]: Extracting #8: cost 146 inf + 20562 440.924 * * [simplify]: Extracting #9: cost 95 inf + 39793 440.934 * * [simplify]: Extracting #10: cost 50 inf + 60887 440.948 * * [simplify]: Extracting #11: cost 33 inf + 72131 440.967 * * [simplify]: Extracting #12: cost 3 inf + 103801 440.988 * * [simplify]: Extracting #13: cost 0 inf + 107796 441.009 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 441.009 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 441.009 * * * * [progress]: [ 1212 / 5906 ] simplifiying candidate # 441.010 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 441.010 * * [simplify]: iters left: 6 (49 enodes) 441.023 * * [simplify]: iters left: 5 (237 enodes) 441.076 * * [simplify]: Extracting #0: cost 1 inf + 0 441.076 * * [simplify]: Extracting #1: cost 3 inf + 0 441.076 * * [simplify]: Extracting #2: cost 6 inf + 0 441.077 * * [simplify]: Extracting #3: cost 58 inf + 0 441.077 * * [simplify]: Extracting #4: cost 139 inf + 0 441.077 * * [simplify]: Extracting #5: cost 198 inf + 127 441.078 * * [simplify]: Extracting #6: cost 223 inf + 5645 441.081 * * [simplify]: Extracting #7: cost 193 inf + 11355 441.084 * * [simplify]: Extracting #8: cost 142 inf + 22064 441.090 * * [simplify]: Extracting #9: cost 92 inf + 41800 441.101 * * [simplify]: Extracting #10: cost 44 inf + 64768 441.120 * * [simplify]: Extracting #11: cost 4 inf + 101808 441.141 * * [simplify]: Extracting #12: cost 0 inf + 106788 441.161 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 441.161 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 441.162 * * * * [progress]: [ 1213 / 5906 ] simplifiying candidate # 441.162 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 441.163 * * [simplify]: iters left: 6 (43 enodes) 441.174 * * [simplify]: iters left: 5 (201 enodes) 441.220 * * [simplify]: Extracting #0: cost 1 inf + 0 441.220 * * [simplify]: Extracting #1: cost 3 inf + 0 441.220 * * [simplify]: Extracting #2: cost 6 inf + 0 441.220 * * [simplify]: Extracting #3: cost 50 inf + 0 441.220 * * [simplify]: Extracting #4: cost 107 inf + 0 441.221 * * [simplify]: Extracting #5: cost 142 inf + 414 441.222 * * [simplify]: Extracting #6: cost 190 inf + 2003 441.224 * * [simplify]: Extracting #7: cost 181 inf + 3914 441.226 * * [simplify]: Extracting #8: cost 138 inf + 10406 441.233 * * [simplify]: Extracting #9: cost 81 inf + 31812 441.241 * * [simplify]: Extracting #10: cost 39 inf + 50098 441.252 * * [simplify]: Extracting #11: cost 23 inf + 61152 441.267 * * [simplify]: Extracting #12: cost 3 inf + 79972 441.284 * * [simplify]: Extracting #13: cost 0 inf + 84807 441.303 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 441.303 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 441.304 * * * * [progress]: [ 1214 / 5906 ] simplifiying candidate # 441.304 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 441.304 * * [simplify]: iters left: 6 (48 enodes) 441.316 * * [simplify]: iters left: 5 (229 enodes) 441.365 * * [simplify]: Extracting #0: cost 1 inf + 0 441.365 * * [simplify]: Extracting #1: cost 3 inf + 0 441.365 * * [simplify]: Extracting #2: cost 10 inf + 0 441.365 * * [simplify]: Extracting #3: cost 70 inf + 0 441.366 * * [simplify]: Extracting #4: cost 125 inf + 1 441.366 * * [simplify]: Extracting #5: cost 172 inf + 85 441.367 * * [simplify]: Extracting #6: cost 217 inf + 2204 441.370 * * [simplify]: Extracting #7: cost 193 inf + 6390 441.374 * * [simplify]: Extracting #8: cost 134 inf + 22236 441.380 * * [simplify]: Extracting #9: cost 79 inf + 41361 441.391 * * [simplify]: Extracting #10: cost 24 inf + 73818 441.409 * * [simplify]: Extracting #11: cost 2 inf + 97248 441.428 * * [simplify]: Extracting #12: cost 0 inf + 100098 441.448 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 441.448 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 441.449 * * * * [progress]: [ 1215 / 5906 ] simplifiying candidate # 441.449 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 441.449 * * [simplify]: iters left: 6 (43 enodes) 441.462 * * [simplify]: iters left: 5 (201 enodes) 441.502 * * [simplify]: Extracting #0: cost 1 inf + 0 441.502 * * [simplify]: Extracting #1: cost 3 inf + 0 441.502 * * [simplify]: Extracting #2: cost 10 inf + 0 441.502 * * [simplify]: Extracting #3: cost 62 inf + 0 441.502 * * [simplify]: Extracting #4: cost 104 inf + 86 441.503 * * [simplify]: Extracting #5: cost 130 inf + 1432 441.504 * * [simplify]: Extracting #6: cost 183 inf + 2932 441.505 * * [simplify]: Extracting #7: cost 178 inf + 4076 441.508 * * [simplify]: Extracting #8: cost 106 inf + 21617 441.517 * * [simplify]: Extracting #9: cost 45 inf + 50965 441.532 * * [simplify]: Extracting #10: cost 5 inf + 77787 441.551 * * [simplify]: Extracting #11: cost 0 inf + 81017 441.568 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 441.568 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 441.568 * * * * [progress]: [ 1216 / 5906 ] simplifiying candidate # 441.569 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 441.569 * * [simplify]: iters left: 6 (48 enodes) 441.581 * * [simplify]: iters left: 5 (229 enodes) 441.632 * * [simplify]: Extracting #0: cost 1 inf + 0 441.632 * * [simplify]: Extracting #1: cost 3 inf + 0 441.632 * * [simplify]: Extracting #2: cost 10 inf + 0 441.633 * * [simplify]: Extracting #3: cost 70 inf + 0 441.633 * * [simplify]: Extracting #4: cost 125 inf + 1 441.633 * * [simplify]: Extracting #5: cost 170 inf + 168 441.634 * * [simplify]: Extracting #6: cost 222 inf + 1476 441.635 * * [simplify]: Extracting #7: cost 196 inf + 6106 441.638 * * [simplify]: Extracting #8: cost 137 inf + 21130 441.644 * * [simplify]: Extracting #9: cost 80 inf + 41296 441.655 * * [simplify]: Extracting #10: cost 25 inf + 74033 441.673 * * [simplify]: Extracting #11: cost 2 inf + 98208 441.693 * * [simplify]: Extracting #12: cost 0 inf + 101058 441.713 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 441.713 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 441.713 * * * * [progress]: [ 1217 / 5906 ] simplifiying candidate # 441.715 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 441.715 * * [simplify]: iters left: 6 (43 enodes) 441.726 * * [simplify]: iters left: 5 (201 enodes) 441.767 * * [simplify]: Extracting #0: cost 1 inf + 0 441.767 * * [simplify]: Extracting #1: cost 3 inf + 0 441.767 * * [simplify]: Extracting #2: cost 10 inf + 0 441.767 * * [simplify]: Extracting #3: cost 61 inf + 0 441.768 * * [simplify]: Extracting #4: cost 105 inf + 44 441.768 * * [simplify]: Extracting #5: cost 132 inf + 1468 441.769 * * [simplify]: Extracting #6: cost 183 inf + 3052 441.770 * * [simplify]: Extracting #7: cost 180 inf + 3871 441.773 * * [simplify]: Extracting #8: cost 114 inf + 19464 441.781 * * [simplify]: Extracting #9: cost 53 inf + 45674 441.796 * * [simplify]: Extracting #10: cost 7 inf + 73524 441.812 * * [simplify]: Extracting #11: cost 0 inf + 81577 441.828 * * [simplify]: Extracting #12: cost 0 inf + 81497 441.845 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 441.845 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 441.846 * * * * [progress]: [ 1218 / 5906 ] simplifiying candidate # 441.846 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 441.847 * * [simplify]: iters left: 6 (48 enodes) 441.859 * * [simplify]: iters left: 5 (228 enodes) 441.911 * * [simplify]: Extracting #0: cost 1 inf + 0 441.911 * * [simplify]: Extracting #1: cost 3 inf + 0 441.911 * * [simplify]: Extracting #2: cost 6 inf + 0 441.911 * * [simplify]: Extracting #3: cost 52 inf + 0 441.911 * * [simplify]: Extracting #4: cost 118 inf + 0 441.911 * * [simplify]: Extracting #5: cost 187 inf + 0 441.912 * * [simplify]: Extracting #6: cost 249 inf + 171 441.913 * * [simplify]: Extracting #7: cost 213 inf + 5230 441.917 * * [simplify]: Extracting #8: cost 123 inf + 23957 441.924 * * [simplify]: Extracting #9: cost 60 inf + 48782 441.935 * * [simplify]: Extracting #10: cost 34 inf + 67440 441.953 * * [simplify]: Extracting #11: cost 1 inf + 102964 441.975 * * [simplify]: Extracting #12: cost 0 inf + 104709 441.996 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 441.996 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 441.996 * * * * [progress]: [ 1219 / 5906 ] simplifiying candidate # 441.997 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 441.997 * * [simplify]: iters left: 6 (49 enodes) 442.009 * * [simplify]: iters left: 5 (237 enodes) 442.062 * * [simplify]: Extracting #0: cost 1 inf + 0 442.063 * * [simplify]: Extracting #1: cost 3 inf + 0 442.063 * * [simplify]: Extracting #2: cost 6 inf + 0 442.063 * * [simplify]: Extracting #3: cost 56 inf + 0 442.063 * * [simplify]: Extracting #4: cost 141 inf + 0 442.063 * * [simplify]: Extracting #5: cost 200 inf + 86 442.064 * * [simplify]: Extracting #6: cost 237 inf + 2820 442.066 * * [simplify]: Extracting #7: cost 202 inf + 9354 442.069 * * [simplify]: Extracting #8: cost 144 inf + 19741 442.075 * * [simplify]: Extracting #9: cost 98 inf + 36688 442.084 * * [simplify]: Extracting #10: cost 50 inf + 58537 442.095 * * [simplify]: Extracting #11: cost 34 inf + 69836 442.114 * * [simplify]: Extracting #12: cost 2 inf + 104156 442.137 * * [simplify]: Extracting #13: cost 0 inf + 107126 442.159 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) 442.159 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 442.160 * * * * [progress]: [ 1220 / 5906 ] simplifiying candidate # 442.160 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 442.161 * * [simplify]: iters left: 6 (49 enodes) 442.173 * * [simplify]: iters left: 5 (237 enodes) 442.227 * * [simplify]: Extracting #0: cost 1 inf + 0 442.227 * * [simplify]: Extracting #1: cost 3 inf + 0 442.227 * * [simplify]: Extracting #2: cost 6 inf + 0 442.227 * * [simplify]: Extracting #3: cost 58 inf + 0 442.228 * * [simplify]: Extracting #4: cost 139 inf + 0 442.228 * * [simplify]: Extracting #5: cost 195 inf + 127 442.229 * * [simplify]: Extracting #6: cost 219 inf + 5327 442.232 * * [simplify]: Extracting #7: cost 184 inf + 13554 442.235 * * [simplify]: Extracting #8: cost 138 inf + 22200 442.241 * * [simplify]: Extracting #9: cost 90 inf + 40278 442.251 * * [simplify]: Extracting #10: cost 45 inf + 61313 442.267 * * [simplify]: Extracting #11: cost 5 inf + 98273 442.287 * * [simplify]: Extracting #12: cost 0 inf + 103518 442.309 * * [simplify]: Extracting #13: cost 0 inf + 103478 442.329 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 442.329 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 442.330 * * * * [progress]: [ 1221 / 5906 ] simplifiying candidate # 442.330 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 442.330 * * [simplify]: iters left: 6 (43 enodes) 442.341 * * [simplify]: iters left: 5 (201 enodes) 442.385 * * [simplify]: Extracting #0: cost 1 inf + 0 442.385 * * [simplify]: Extracting #1: cost 3 inf + 0 442.385 * * [simplify]: Extracting #2: cost 6 inf + 0 442.385 * * [simplify]: Extracting #3: cost 50 inf + 0 442.385 * * [simplify]: Extracting #4: cost 107 inf + 0 442.385 * * [simplify]: Extracting #5: cost 139 inf + 414 442.386 * * [simplify]: Extracting #6: cost 184 inf + 2047 442.387 * * [simplify]: Extracting #7: cost 161 inf + 6603 442.391 * * [simplify]: Extracting #8: cost 117 inf + 21442 442.397 * * [simplify]: Extracting #9: cost 72 inf + 36153 442.405 * * [simplify]: Extracting #10: cost 38 inf + 49133 442.415 * * [simplify]: Extracting #11: cost 23 inf + 60762 442.430 * * [simplify]: Extracting #12: cost 3 inf + 81142 442.447 * * [simplify]: Extracting #13: cost 0 inf + 86097 442.464 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 442.465 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 442.465 * * * * [progress]: [ 1222 / 5906 ] simplifiying candidate # 442.465 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 442.466 * * [simplify]: iters left: 6 (48 enodes) 442.481 * * [simplify]: iters left: 5 (229 enodes) 442.529 * * [simplify]: Extracting #0: cost 1 inf + 0 442.529 * * [simplify]: Extracting #1: cost 3 inf + 0 442.529 * * [simplify]: Extracting #2: cost 10 inf + 0 442.530 * * [simplify]: Extracting #3: cost 70 inf + 0 442.530 * * [simplify]: Extracting #4: cost 125 inf + 1 442.530 * * [simplify]: Extracting #5: cost 169 inf + 85 442.531 * * [simplify]: Extracting #6: cost 210 inf + 2329 442.533 * * [simplify]: Extracting #7: cost 180 inf + 8464 442.537 * * [simplify]: Extracting #8: cost 101 inf + 32327 442.549 * * [simplify]: Extracting #9: cost 27 inf + 70778 442.567 * * [simplify]: Extracting #10: cost 2 inf + 96338 442.585 * * [simplify]: Extracting #11: cost 0 inf + 99148 442.604 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 442.604 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 442.605 * * * * [progress]: [ 1223 / 5906 ] simplifiying candidate # 442.605 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 442.605 * * [simplify]: iters left: 6 (43 enodes) 442.616 * * [simplify]: iters left: 5 (201 enodes) 442.659 * * [simplify]: Extracting #0: cost 1 inf + 0 442.659 * * [simplify]: Extracting #1: cost 3 inf + 0 442.659 * * [simplify]: Extracting #2: cost 10 inf + 0 442.659 * * [simplify]: Extracting #3: cost 62 inf + 0 442.659 * * [simplify]: Extracting #4: cost 104 inf + 86 442.660 * * [simplify]: Extracting #5: cost 127 inf + 1432 442.661 * * [simplify]: Extracting #6: cost 177 inf + 2976 442.662 * * [simplify]: Extracting #7: cost 160 inf + 6883 442.665 * * [simplify]: Extracting #8: cost 104 inf + 20849 442.672 * * [simplify]: Extracting #9: cost 53 inf + 44897 442.685 * * [simplify]: Extracting #10: cost 9 inf + 71817 442.701 * * [simplify]: Extracting #11: cost 0 inf + 80547 442.719 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 442.719 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 442.719 * * * * [progress]: [ 1224 / 5906 ] simplifiying candidate # 442.720 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 442.720 * * [simplify]: iters left: 6 (48 enodes) 442.732 * * [simplify]: iters left: 5 (229 enodes) 442.783 * * [simplify]: Extracting #0: cost 1 inf + 0 442.783 * * [simplify]: Extracting #1: cost 3 inf + 0 442.783 * * [simplify]: Extracting #2: cost 10 inf + 0 442.783 * * [simplify]: Extracting #3: cost 70 inf + 0 442.784 * * [simplify]: Extracting #4: cost 125 inf + 1 442.784 * * [simplify]: Extracting #5: cost 167 inf + 168 442.785 * * [simplify]: Extracting #6: cost 216 inf + 1520 442.786 * * [simplify]: Extracting #7: cost 183 inf + 8020 442.793 * * [simplify]: Extracting #8: cost 104 inf + 31420 442.803 * * [simplify]: Extracting #9: cost 27 inf + 71978 442.821 * * [simplify]: Extracting #10: cost 2 inf + 97298 442.840 * * [simplify]: Extracting #11: cost 0 inf + 100108 442.858 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 442.859 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 442.859 * * * * [progress]: [ 1225 / 5906 ] simplifiying candidate # 442.860 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 442.860 * * [simplify]: iters left: 6 (43 enodes) 442.871 * * [simplify]: iters left: 5 (201 enodes) 442.913 * * [simplify]: Extracting #0: cost 1 inf + 0 442.913 * * [simplify]: Extracting #1: cost 3 inf + 0 442.913 * * [simplify]: Extracting #2: cost 10 inf + 0 442.913 * * [simplify]: Extracting #3: cost 61 inf + 0 442.913 * * [simplify]: Extracting #4: cost 105 inf + 44 442.914 * * [simplify]: Extracting #5: cost 130 inf + 1146 442.915 * * [simplify]: Extracting #6: cost 177 inf + 2976 442.916 * * [simplify]: Extracting #7: cost 160 inf + 6682 442.919 * * [simplify]: Extracting #8: cost 105 inf + 21050 442.926 * * [simplify]: Extracting #9: cost 55 inf + 43708 442.938 * * [simplify]: Extracting #10: cost 9 inf + 72377 442.954 * * [simplify]: Extracting #11: cost 0 inf + 80947 442.972 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 442.972 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 442.972 * * * * [progress]: [ 1226 / 5906 ] simplifiying candidate # 442.973 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 442.973 * * [simplify]: iters left: 6 (51 enodes) 442.986 * * [simplify]: iters left: 5 (256 enodes) 443.046 * * [simplify]: Extracting #0: cost 1 inf + 0 443.046 * * [simplify]: Extracting #1: cost 3 inf + 0 443.046 * * [simplify]: Extracting #2: cost 6 inf + 0 443.046 * * [simplify]: Extracting #3: cost 56 inf + 0 443.046 * * [simplify]: Extracting #4: cost 130 inf + 0 443.046 * * [simplify]: Extracting #5: cost 214 inf + 0 443.047 * * [simplify]: Extracting #6: cost 303 inf + 763 443.049 * * [simplify]: Extracting #7: cost 270 inf + 6182 443.053 * * [simplify]: Extracting #8: cost 148 inf + 34210 443.064 * * [simplify]: Extracting #9: cost 59 inf + 67909 443.085 * * [simplify]: Extracting #10: cost 8 inf + 115270 443.111 * * [simplify]: Extracting #11: cost 1 inf + 125125 443.138 * * [simplify]: Extracting #12: cost 0 inf + 127150 443.164 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 443.164 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 443.164 * * * * [progress]: [ 1227 / 5906 ] simplifiying candidate # 443.165 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 443.165 * * [simplify]: iters left: 6 (52 enodes) 443.178 * * [simplify]: iters left: 5 (265 enodes) 443.241 * * [simplify]: Extracting #0: cost 1 inf + 0 443.242 * * [simplify]: Extracting #1: cost 3 inf + 0 443.242 * * [simplify]: Extracting #2: cost 6 inf + 0 443.242 * * [simplify]: Extracting #3: cost 60 inf + 0 443.242 * * [simplify]: Extracting #4: cost 153 inf + 0 443.242 * * [simplify]: Extracting #5: cost 228 inf + 43 443.244 * * [simplify]: Extracting #6: cost 288 inf + 4147 443.246 * * [simplify]: Extracting #7: cost 255 inf + 10509 443.250 * * [simplify]: Extracting #8: cost 174 inf + 27197 443.258 * * [simplify]: Extracting #9: cost 126 inf + 47460 443.269 * * [simplify]: Extracting #10: cost 85 inf + 66814 443.283 * * [simplify]: Extracting #11: cost 47 inf + 81792 443.307 * * [simplify]: Extracting #12: cost 10 inf + 117757 443.333 * * [simplify]: Extracting #13: cost 0 inf + 131687 443.359 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 443.359 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 443.360 * * * * [progress]: [ 1228 / 5906 ] simplifiying candidate # 443.360 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 443.360 * * [simplify]: iters left: 6 (52 enodes) 443.374 * * [simplify]: iters left: 5 (265 enodes) 443.437 * * [simplify]: Extracting #0: cost 1 inf + 0 443.437 * * [simplify]: Extracting #1: cost 3 inf + 0 443.437 * * [simplify]: Extracting #2: cost 6 inf + 0 443.437 * * [simplify]: Extracting #3: cost 62 inf + 0 443.437 * * [simplify]: Extracting #4: cost 151 inf + 0 443.438 * * [simplify]: Extracting #5: cost 224 inf + 43 443.439 * * [simplify]: Extracting #6: cost 288 inf + 3419 443.441 * * [simplify]: Extracting #7: cost 249 inf + 10672 443.445 * * [simplify]: Extracting #8: cost 175 inf + 25894 443.454 * * [simplify]: Extracting #9: cost 99 inf + 57698 443.471 * * [simplify]: Extracting #10: cost 49 inf + 80214 443.490 * * [simplify]: Extracting #11: cost 16 inf + 108599 443.514 * * [simplify]: Extracting #12: cost 0 inf + 128119 443.540 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* phi1 phi1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi2 phi2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 443.540 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* phi1 phi1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi2 phi2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 443.541 * * * * [progress]: [ 1229 / 5906 ] simplifiying candidate # 443.541 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 443.541 * * [simplify]: iters left: 6 (46 enodes) 443.554 * * [simplify]: iters left: 5 (229 enodes) 443.604 * * [simplify]: Extracting #0: cost 1 inf + 0 443.604 * * [simplify]: Extracting #1: cost 3 inf + 0 443.604 * * [simplify]: Extracting #2: cost 6 inf + 0 443.604 * * [simplify]: Extracting #3: cost 54 inf + 0 443.604 * * [simplify]: Extracting #4: cost 119 inf + 0 443.605 * * [simplify]: Extracting #5: cost 169 inf + 249 443.606 * * [simplify]: Extracting #6: cost 240 inf + 2166 443.607 * * [simplify]: Extracting #7: cost 228 inf + 5448 443.611 * * [simplify]: Extracting #8: cost 136 inf + 23796 443.619 * * [simplify]: Extracting #9: cost 80 inf + 45741 443.637 * * [simplify]: Extracting #10: cost 18 inf + 89787 443.658 * * [simplify]: Extracting #11: cost 0 inf + 105098 443.679 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 443.679 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 443.680 * * * * [progress]: [ 1230 / 5906 ] simplifiying candidate # 443.680 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 443.680 * * [simplify]: iters left: 6 (51 enodes) 443.693 * * [simplify]: iters left: 5 (257 enodes) 443.753 * * [simplify]: Extracting #0: cost 1 inf + 0 443.753 * * [simplify]: Extracting #1: cost 3 inf + 0 443.753 * * [simplify]: Extracting #2: cost 10 inf + 0 443.754 * * [simplify]: Extracting #3: cost 74 inf + 0 443.754 * * [simplify]: Extracting #4: cost 136 inf + 42 443.754 * * [simplify]: Extracting #5: cost 193 inf + 249 443.755 * * [simplify]: Extracting #6: cost 262 inf + 3977 443.757 * * [simplify]: Extracting #7: cost 244 inf + 8390 443.761 * * [simplify]: Extracting #8: cost 171 inf + 22452 443.768 * * [simplify]: Extracting #9: cost 105 inf + 45206 443.780 * * [simplify]: Extracting #10: cost 51 inf + 73680 443.802 * * [simplify]: Extracting #11: cost 6 inf + 110239 443.825 * * [simplify]: Extracting #12: cost 1 inf + 117964 443.850 * * [simplify]: Extracting #13: cost 0 inf + 119949 443.874 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 443.874 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 443.875 * * * * [progress]: [ 1231 / 5906 ] simplifiying candidate # 443.875 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 443.875 * * [simplify]: iters left: 6 (46 enodes) 443.887 * * [simplify]: iters left: 5 (229 enodes) 443.937 * * [simplify]: Extracting #0: cost 1 inf + 0 443.937 * * [simplify]: Extracting #1: cost 3 inf + 0 443.937 * * [simplify]: Extracting #2: cost 10 inf + 0 443.937 * * [simplify]: Extracting #3: cost 66 inf + 0 443.937 * * [simplify]: Extracting #4: cost 117 inf + 44 443.938 * * [simplify]: Extracting #5: cost 162 inf + 496 443.939 * * [simplify]: Extracting #6: cost 235 inf + 2770 443.940 * * [simplify]: Extracting #7: cost 231 inf + 4677 443.943 * * [simplify]: Extracting #8: cost 159 inf + 17906 443.948 * * [simplify]: Extracting #9: cost 108 inf + 33836 443.959 * * [simplify]: Extracting #10: cost 49 inf + 61919 443.978 * * [simplify]: Extracting #11: cost 8 inf + 92548 443.998 * * [simplify]: Extracting #12: cost 1 inf + 100203 444.018 * * [simplify]: Extracting #13: cost 0 inf + 101988 444.039 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 444.039 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 444.040 * * * * [progress]: [ 1232 / 5906 ] simplifiying candidate # 444.040 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 444.041 * * [simplify]: iters left: 6 (51 enodes) 444.055 * * [simplify]: iters left: 5 (257 enodes) 444.113 * * [simplify]: Extracting #0: cost 1 inf + 0 444.113 * * [simplify]: Extracting #1: cost 3 inf + 0 444.113 * * [simplify]: Extracting #2: cost 10 inf + 0 444.113 * * [simplify]: Extracting #3: cost 74 inf + 0 444.113 * * [simplify]: Extracting #4: cost 136 inf + 42 444.114 * * [simplify]: Extracting #5: cost 193 inf + 248 444.115 * * [simplify]: Extracting #6: cost 265 inf + 3050 444.117 * * [simplify]: Extracting #7: cost 240 inf + 9238 444.120 * * [simplify]: Extracting #8: cost 164 inf + 24426 444.127 * * [simplify]: Extracting #9: cost 109 inf + 43426 444.141 * * [simplify]: Extracting #10: cost 56 inf + 71355 444.161 * * [simplify]: Extracting #11: cost 6 inf + 112079 444.186 * * [simplify]: Extracting #12: cost 1 inf + 119964 444.210 * * [simplify]: Extracting #13: cost 0 inf + 121989 444.236 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 444.236 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 444.237 * * * * [progress]: [ 1233 / 5906 ] simplifiying candidate # 444.237 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 444.237 * * [simplify]: iters left: 6 (46 enodes) 444.249 * * [simplify]: iters left: 5 (229 enodes) 444.298 * * [simplify]: Extracting #0: cost 1 inf + 0 444.298 * * [simplify]: Extracting #1: cost 3 inf + 0 444.298 * * [simplify]: Extracting #2: cost 10 inf + 0 444.299 * * [simplify]: Extracting #3: cost 65 inf + 0 444.299 * * [simplify]: Extracting #4: cost 117 inf + 44 444.299 * * [simplify]: Extracting #5: cost 159 inf + 782 444.300 * * [simplify]: Extracting #6: cost 235 inf + 2770 444.301 * * [simplify]: Extracting #7: cost 229 inf + 5080 444.304 * * [simplify]: Extracting #8: cost 159 inf + 17746 444.312 * * [simplify]: Extracting #9: cost 104 inf + 37787 444.324 * * [simplify]: Extracting #10: cost 44 inf + 65796 444.341 * * [simplify]: Extracting #11: cost 7 inf + 93613 444.363 * * [simplify]: Extracting #12: cost 1 inf + 100443 444.384 * * [simplify]: Extracting #13: cost 0 inf + 102228 444.404 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 444.404 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 444.405 * * * * [progress]: [ 1234 / 5906 ] simplifiying candidate # 444.405 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 444.405 * * [simplify]: iters left: 6 (51 enodes) 444.420 * * [simplify]: iters left: 5 (250 enodes) 444.473 * * [simplify]: Extracting #0: cost 1 inf + 0 444.474 * * [simplify]: Extracting #1: cost 3 inf + 0 444.474 * * [simplify]: Extracting #2: cost 6 inf + 0 444.474 * * [simplify]: Extracting #3: cost 50 inf + 0 444.474 * * [simplify]: Extracting #4: cost 116 inf + 0 444.474 * * [simplify]: Extracting #5: cost 185 inf + 0 444.475 * * [simplify]: Extracting #6: cost 265 inf + 722 444.476 * * [simplify]: Extracting #7: cost 216 inf + 8505 444.483 * * [simplify]: Extracting #8: cost 115 inf + 30790 444.491 * * [simplify]: Extracting #9: cost 66 inf + 48053 444.501 * * [simplify]: Extracting #10: cost 42 inf + 64294 444.518 * * [simplify]: Extracting #11: cost 6 inf + 97043 444.538 * * [simplify]: Extracting #12: cost 1 inf + 103408 444.559 * * [simplify]: Extracting #13: cost 0 inf + 105153 444.581 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 444.581 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 444.582 * * * * [progress]: [ 1235 / 5906 ] simplifiying candidate # 444.582 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 444.582 * * [simplify]: iters left: 6 (52 enodes) 444.596 * * [simplify]: iters left: 5 (259 enodes) 444.654 * * [simplify]: Extracting #0: cost 1 inf + 0 444.654 * * [simplify]: Extracting #1: cost 3 inf + 0 444.654 * * [simplify]: Extracting #2: cost 6 inf + 0 444.654 * * [simplify]: Extracting #3: cost 53 inf + 0 444.654 * * [simplify]: Extracting #4: cost 138 inf + 0 444.655 * * [simplify]: Extracting #5: cost 196 inf + 207 444.656 * * [simplify]: Extracting #6: cost 243 inf + 3955 444.658 * * [simplify]: Extracting #7: cost 210 inf + 10799 444.663 * * [simplify]: Extracting #8: cost 131 inf + 28187 444.673 * * [simplify]: Extracting #9: cost 50 inf + 64201 444.691 * * [simplify]: Extracting #10: cost 11 inf + 97542 444.713 * * [simplify]: Extracting #11: cost 0 inf + 108065 444.735 * * [simplify]: Extracting #12: cost 0 inf + 107385 444.758 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2)))) 444.758 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 444.759 * * * * [progress]: [ 1236 / 5906 ] simplifiying candidate # 444.759 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 444.759 * * [simplify]: iters left: 6 (52 enodes) 444.773 * * [simplify]: iters left: 5 (259 enodes) 444.833 * * [simplify]: Extracting #0: cost 1 inf + 0 444.833 * * [simplify]: Extracting #1: cost 3 inf + 0 444.833 * * [simplify]: Extracting #2: cost 6 inf + 0 444.833 * * [simplify]: Extracting #3: cost 55 inf + 0 444.833 * * [simplify]: Extracting #4: cost 136 inf + 0 444.834 * * [simplify]: Extracting #5: cost 193 inf + 85 444.835 * * [simplify]: Extracting #6: cost 242 inf + 4072 444.837 * * [simplify]: Extracting #7: cost 205 inf + 10880 444.841 * * [simplify]: Extracting #8: cost 135 inf + 26247 444.849 * * [simplify]: Extracting #9: cost 75 inf + 44925 444.861 * * [simplify]: Extracting #10: cost 35 inf + 74036 444.880 * * [simplify]: Extracting #11: cost 3 inf + 100502 444.901 * * [simplify]: Extracting #12: cost 0 inf + 105377 444.929 * * [simplify]: Extracting #13: cost 0 inf + 105257 444.950 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 444.950 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 444.950 * * * * [progress]: [ 1237 / 5906 ] simplifiying candidate # 444.951 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 444.951 * * [simplify]: iters left: 6 (46 enodes) 444.963 * * [simplify]: iters left: 5 (225 enodes) 445.013 * * [simplify]: Extracting #0: cost 1 inf + 0 445.013 * * [simplify]: Extracting #1: cost 3 inf + 0 445.013 * * [simplify]: Extracting #2: cost 6 inf + 0 445.013 * * [simplify]: Extracting #3: cost 47 inf + 0 445.013 * * [simplify]: Extracting #4: cost 104 inf + 0 445.013 * * [simplify]: Extracting #5: cost 141 inf + 127 445.014 * * [simplify]: Extracting #6: cost 198 inf + 2812 445.016 * * [simplify]: Extracting #7: cost 193 inf + 4721 445.018 * * [simplify]: Extracting #8: cost 142 inf + 11384 445.022 * * [simplify]: Extracting #9: cost 105 inf + 22123 445.029 * * [simplify]: Extracting #10: cost 48 inf + 45746 445.039 * * [simplify]: Extracting #11: cost 27 inf + 59744 445.055 * * [simplify]: Extracting #12: cost 1 inf + 83994 445.072 * * [simplify]: Extracting #13: cost 0 inf + 84859 445.092 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 445.092 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 445.093 * * * * [progress]: [ 1238 / 5906 ] simplifiying candidate # 445.093 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 445.093 * * [simplify]: iters left: 6 (51 enodes) 445.106 * * [simplify]: iters left: 5 (252 enodes) 445.162 * * [simplify]: Extracting #0: cost 1 inf + 0 445.162 * * [simplify]: Extracting #1: cost 3 inf + 0 445.162 * * [simplify]: Extracting #2: cost 10 inf + 0 445.162 * * [simplify]: Extracting #3: cost 63 inf + 0 445.163 * * [simplify]: Extracting #4: cost 118 inf + 42 445.163 * * [simplify]: Extracting #5: cost 161 inf + 249 445.164 * * [simplify]: Extracting #6: cost 227 inf + 1881 445.165 * * [simplify]: Extracting #7: cost 214 inf + 4726 445.169 * * [simplify]: Extracting #8: cost 127 inf + 23747 445.177 * * [simplify]: Extracting #9: cost 55 inf + 53060 445.189 * * [simplify]: Extracting #10: cost 27 inf + 70640 445.207 * * [simplify]: Extracting #11: cost 3 inf + 93000 445.228 * * [simplify]: Extracting #12: cost 1 inf + 96450 445.248 * * [simplify]: Extracting #13: cost 0 inf + 98195 445.270 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 445.270 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 445.270 * * * * [progress]: [ 1239 / 5906 ] simplifiying candidate # 445.270 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 445.271 * * [simplify]: iters left: 6 (46 enodes) 445.283 * * [simplify]: iters left: 5 (224 enodes) 445.330 * * [simplify]: Extracting #0: cost 1 inf + 0 445.330 * * [simplify]: Extracting #1: cost 3 inf + 0 445.330 * * [simplify]: Extracting #2: cost 10 inf + 0 445.330 * * [simplify]: Extracting #3: cost 58 inf + 0 445.331 * * [simplify]: Extracting #4: cost 104 inf + 44 445.331 * * [simplify]: Extracting #5: cost 130 inf + 904 445.332 * * [simplify]: Extracting #6: cost 196 inf + 2932 445.333 * * [simplify]: Extracting #7: cost 190 inf + 5004 445.335 * * [simplify]: Extracting #8: cost 140 inf + 12186 445.340 * * [simplify]: Extracting #9: cost 90 inf + 30908 445.349 * * [simplify]: Extracting #10: cost 36 inf + 54841 445.363 * * [simplify]: Extracting #11: cost 9 inf + 75968 445.379 * * [simplify]: Extracting #12: cost 0 inf + 82873 445.396 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (+ phi1 phi2)))) 445.396 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 445.397 * * * * [progress]: [ 1240 / 5906 ] simplifiying candidate # 445.397 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 445.397 * * [simplify]: iters left: 6 (51 enodes) 445.411 * * [simplify]: iters left: 5 (252 enodes) 445.465 * * [simplify]: Extracting #0: cost 1 inf + 0 445.465 * * [simplify]: Extracting #1: cost 3 inf + 0 445.465 * * [simplify]: Extracting #2: cost 10 inf + 0 445.465 * * [simplify]: Extracting #3: cost 63 inf + 0 445.465 * * [simplify]: Extracting #4: cost 118 inf + 42 445.466 * * [simplify]: Extracting #5: cost 161 inf + 248 445.467 * * [simplify]: Extracting #6: cost 222 inf + 3171 445.468 * * [simplify]: Extracting #7: cost 208 inf + 6017 445.472 * * [simplify]: Extracting #8: cost 127 inf + 24010 445.481 * * [simplify]: Extracting #9: cost 55 inf + 53001 445.494 * * [simplify]: Extracting #10: cost 29 inf + 69790 445.512 * * [simplify]: Extracting #11: cost 4 inf + 92135 445.533 * * [simplify]: Extracting #12: cost 1 inf + 97250 445.553 * * [simplify]: Extracting #13: cost 0 inf + 98995 445.573 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 445.573 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 445.574 * * * * [progress]: [ 1241 / 5906 ] simplifiying candidate # 445.574 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 445.574 * * [simplify]: iters left: 6 (46 enodes) 445.588 * * [simplify]: iters left: 5 (224 enodes) 445.633 * * [simplify]: Extracting #0: cost 1 inf + 0 445.633 * * [simplify]: Extracting #1: cost 3 inf + 0 445.633 * * [simplify]: Extracting #2: cost 10 inf + 0 445.633 * * [simplify]: Extracting #3: cost 57 inf + 0 445.633 * * [simplify]: Extracting #4: cost 104 inf + 44 445.634 * * [simplify]: Extracting #5: cost 129 inf + 1026 445.635 * * [simplify]: Extracting #6: cost 196 inf + 2932 445.636 * * [simplify]: Extracting #7: cost 193 inf + 4519 445.638 * * [simplify]: Extracting #8: cost 139 inf + 12307 445.643 * * [simplify]: Extracting #9: cost 92 inf + 30336 445.652 * * [simplify]: Extracting #10: cost 36 inf + 54668 445.664 * * [simplify]: Extracting #11: cost 23 inf + 60938 445.680 * * [simplify]: Extracting #12: cost 1 inf + 82368 445.696 * * [simplify]: Extracting #13: cost 0 inf + 83193 445.713 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 445.713 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 445.714 * * * * [progress]: [ 1242 / 5906 ] simplifiying candidate # 445.714 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 445.714 * * [simplify]: iters left: 6 (47 enodes) 445.726 * * [simplify]: iters left: 5 (229 enodes) 445.778 * * [simplify]: Extracting #0: cost 1 inf + 0 445.778 * * [simplify]: Extracting #1: cost 3 inf + 0 445.778 * * [simplify]: Extracting #2: cost 6 inf + 0 445.778 * * [simplify]: Extracting #3: cost 48 inf + 0 445.778 * * [simplify]: Extracting #4: cost 112 inf + 0 445.779 * * [simplify]: Extracting #5: cost 184 inf + 0 445.779 * * [simplify]: Extracting #6: cost 248 inf + 462 445.781 * * [simplify]: Extracting #7: cost 218 inf + 4972 445.783 * * [simplify]: Extracting #8: cost 145 inf + 17928 445.788 * * [simplify]: Extracting #9: cost 92 inf + 33928 445.797 * * [simplify]: Extracting #10: cost 45 inf + 56856 445.815 * * [simplify]: Extracting #11: cost 6 inf + 93109 445.839 * * [simplify]: Extracting #12: cost 0 inf + 101019 445.859 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 445.859 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 445.860 * * * * [progress]: [ 1243 / 5906 ] simplifiying candidate # 445.860 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 445.860 * * [simplify]: iters left: 6 (48 enodes) 445.873 * * [simplify]: iters left: 5 (238 enodes) 445.927 * * [simplify]: Extracting #0: cost 1 inf + 0 445.927 * * [simplify]: Extracting #1: cost 3 inf + 0 445.927 * * [simplify]: Extracting #2: cost 6 inf + 0 445.928 * * [simplify]: Extracting #3: cost 52 inf + 0 445.928 * * [simplify]: Extracting #4: cost 135 inf + 0 445.928 * * [simplify]: Extracting #5: cost 194 inf + 290 445.930 * * [simplify]: Extracting #6: cost 212 inf + 7667 445.932 * * [simplify]: Extracting #7: cost 189 inf + 12699 445.935 * * [simplify]: Extracting #8: cost 146 inf + 19017 445.942 * * [simplify]: Extracting #9: cost 77 inf + 45493 445.958 * * [simplify]: Extracting #10: cost 11 inf + 90163 445.977 * * [simplify]: Extracting #11: cost 0 inf + 101556 445.999 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 445.999 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 446.000 * * * * [progress]: [ 1244 / 5906 ] simplifiying candidate # 446.000 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 446.000 * * [simplify]: iters left: 6 (48 enodes) 446.013 * * [simplify]: iters left: 5 (238 enodes) 446.065 * * [simplify]: Extracting #0: cost 1 inf + 0 446.065 * * [simplify]: Extracting #1: cost 3 inf + 0 446.066 * * [simplify]: Extracting #2: cost 6 inf + 0 446.066 * * [simplify]: Extracting #3: cost 54 inf + 0 446.066 * * [simplify]: Extracting #4: cost 133 inf + 0 446.066 * * [simplify]: Extracting #5: cost 189 inf + 332 446.068 * * [simplify]: Extracting #6: cost 217 inf + 5810 446.072 * * [simplify]: Extracting #7: cost 193 inf + 10833 446.075 * * [simplify]: Extracting #8: cost 139 inf + 20516 446.082 * * [simplify]: Extracting #9: cost 79 inf + 43457 446.096 * * [simplify]: Extracting #10: cost 13 inf + 88484 446.116 * * [simplify]: Extracting #11: cost 0 inf + 100548 446.138 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) 446.138 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 446.138 * * * * [progress]: [ 1245 / 5906 ] simplifiying candidate # 446.139 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 446.139 * * [simplify]: iters left: 6 (42 enodes) 446.150 * * [simplify]: iters left: 5 (203 enodes) 446.193 * * [simplify]: Extracting #0: cost 1 inf + 0 446.193 * * [simplify]: Extracting #1: cost 3 inf + 0 446.194 * * [simplify]: Extracting #2: cost 6 inf + 0 446.194 * * [simplify]: Extracting #3: cost 46 inf + 0 446.194 * * [simplify]: Extracting #4: cost 101 inf + 0 446.194 * * [simplify]: Extracting #5: cost 139 inf + 168 446.195 * * [simplify]: Extracting #6: cost 192 inf + 989 446.196 * * [simplify]: Extracting #7: cost 174 inf + 4805 446.199 * * [simplify]: Extracting #8: cost 108 inf + 17656 446.206 * * [simplify]: Extracting #9: cost 55 inf + 41054 446.221 * * [simplify]: Extracting #10: cost 9 inf + 72986 446.238 * * [simplify]: Extracting #11: cost 0 inf + 80687 446.257 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))))) 446.257 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 446.258 * * * * [progress]: [ 1246 / 5906 ] simplifiying candidate # 446.258 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 446.258 * * [simplify]: iters left: 6 (47 enodes) 446.270 * * [simplify]: iters left: 5 (231 enodes) 446.320 * * [simplify]: Extracting #0: cost 1 inf + 0 446.320 * * [simplify]: Extracting #1: cost 3 inf + 0 446.320 * * [simplify]: Extracting #2: cost 10 inf + 0 446.320 * * [simplify]: Extracting #3: cost 62 inf + 0 446.320 * * [simplify]: Extracting #4: cost 115 inf + 42 446.321 * * [simplify]: Extracting #5: cost 160 inf + 248 446.323 * * [simplify]: Extracting #6: cost 207 inf + 2808 446.325 * * [simplify]: Extracting #7: cost 192 inf + 6736 446.328 * * [simplify]: Extracting #8: cost 128 inf + 19185 446.334 * * [simplify]: Extracting #9: cost 67 inf + 41196 446.347 * * [simplify]: Extracting #10: cost 26 inf + 72923 446.365 * * [simplify]: Extracting #11: cost 8 inf + 89477 446.385 * * [simplify]: Extracting #12: cost 0 inf + 94103 446.404 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 446.404 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 446.405 * * * * [progress]: [ 1247 / 5906 ] simplifiying candidate # 446.405 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 446.405 * * [simplify]: iters left: 6 (42 enodes) 446.418 * * [simplify]: iters left: 5 (204 enodes) 446.461 * * [simplify]: Extracting #0: cost 1 inf + 0 446.461 * * [simplify]: Extracting #1: cost 3 inf + 0 446.461 * * [simplify]: Extracting #2: cost 10 inf + 0 446.462 * * [simplify]: Extracting #3: cost 54 inf + 0 446.462 * * [simplify]: Extracting #4: cost 95 inf + 86 446.462 * * [simplify]: Extracting #5: cost 123 inf + 1148 446.463 * * [simplify]: Extracting #6: cost 175 inf + 2932 446.464 * * [simplify]: Extracting #7: cost 171 inf + 4561 446.467 * * [simplify]: Extracting #8: cost 102 inf + 18864 446.474 * * [simplify]: Extracting #9: cost 52 inf + 39910 446.486 * * [simplify]: Extracting #10: cost 8 inf + 66782 446.503 * * [simplify]: Extracting #11: cost 1 inf + 74557 446.518 * * [simplify]: Extracting #12: cost 0 inf + 76102 446.534 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 446.534 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 446.534 * * * * [progress]: [ 1248 / 5906 ] simplifiying candidate # 446.535 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 446.535 * * [simplify]: iters left: 6 (47 enodes) 446.547 * * [simplify]: iters left: 5 (231 enodes) 446.599 * * [simplify]: Extracting #0: cost 1 inf + 0 446.599 * * [simplify]: Extracting #1: cost 3 inf + 0 446.599 * * [simplify]: Extracting #2: cost 10 inf + 0 446.599 * * [simplify]: Extracting #3: cost 62 inf + 0 446.599 * * [simplify]: Extracting #4: cost 115 inf + 42 446.600 * * [simplify]: Extracting #5: cost 158 inf + 331 446.601 * * [simplify]: Extracting #6: cost 200 inf + 4061 446.602 * * [simplify]: Extracting #7: cost 192 inf + 6736 446.605 * * [simplify]: Extracting #8: cost 127 inf + 19186 446.611 * * [simplify]: Extracting #9: cost 68 inf + 40411 446.625 * * [simplify]: Extracting #10: cost 26 inf + 73243 446.644 * * [simplify]: Extracting #11: cost 8 inf + 89797 446.663 * * [simplify]: Extracting #12: cost 0 inf + 95063 446.685 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))))) 446.685 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 446.686 * * * * [progress]: [ 1249 / 5906 ] simplifiying candidate # 446.686 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 446.687 * * [simplify]: iters left: 6 (42 enodes) 446.697 * * [simplify]: iters left: 5 (204 enodes) 446.741 * * [simplify]: Extracting #0: cost 1 inf + 0 446.741 * * [simplify]: Extracting #1: cost 3 inf + 0 446.742 * * [simplify]: Extracting #2: cost 10 inf + 0 446.742 * * [simplify]: Extracting #3: cost 53 inf + 0 446.742 * * [simplify]: Extracting #4: cost 95 inf + 86 446.742 * * [simplify]: Extracting #5: cost 123 inf + 1228 446.743 * * [simplify]: Extracting #6: cost 175 inf + 2932 446.745 * * [simplify]: Extracting #7: cost 171 inf + 4520 446.748 * * [simplify]: Extracting #8: cost 104 inf + 18357 446.757 * * [simplify]: Extracting #9: cost 47 inf + 42437 446.769 * * [simplify]: Extracting #10: cost 8 inf + 67102 446.784 * * [simplify]: Extracting #11: cost 1 inf + 74877 446.799 * * [simplify]: Extracting #12: cost 0 inf + 76422 446.815 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 446.815 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 446.815 * * * * [progress]: [ 1250 / 5906 ] simplifiying candidate # 446.816 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 446.816 * * [simplify]: iters left: 6 (47 enodes) 446.828 * * [simplify]: iters left: 5 (233 enodes) 446.880 * * [simplify]: Extracting #0: cost 1 inf + 0 446.880 * * [simplify]: Extracting #1: cost 3 inf + 0 446.880 * * [simplify]: Extracting #2: cost 6 inf + 0 446.880 * * [simplify]: Extracting #3: cost 54 inf + 0 446.880 * * [simplify]: Extracting #4: cost 120 inf + 0 446.881 * * [simplify]: Extracting #5: cost 192 inf + 0 446.881 * * [simplify]: Extracting #6: cost 257 inf + 168 446.883 * * [simplify]: Extracting #7: cost 221 inf + 5890 446.887 * * [simplify]: Extracting #8: cost 119 inf + 28037 446.897 * * [simplify]: Extracting #9: cost 43 inf + 61569 446.913 * * [simplify]: Extracting #10: cost 8 inf + 91693 446.935 * * [simplify]: Extracting #11: cost 0 inf + 101933 446.955 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 446.955 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 446.955 * * * * [progress]: [ 1251 / 5906 ] simplifiying candidate # 446.956 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 446.956 * * [simplify]: iters left: 6 (48 enodes) 446.968 * * [simplify]: iters left: 5 (242 enodes) 447.023 * * [simplify]: Extracting #0: cost 1 inf + 0 447.023 * * [simplify]: Extracting #1: cost 3 inf + 0 447.023 * * [simplify]: Extracting #2: cost 6 inf + 0 447.023 * * [simplify]: Extracting #3: cost 58 inf + 0 447.024 * * [simplify]: Extracting #4: cost 143 inf + 0 447.024 * * [simplify]: Extracting #5: cost 201 inf + 412 447.025 * * [simplify]: Extracting #6: cost 229 inf + 5250 447.028 * * [simplify]: Extracting #7: cost 207 inf + 10399 447.031 * * [simplify]: Extracting #8: cost 153 inf + 19712 447.037 * * [simplify]: Extracting #9: cost 97 inf + 36810 447.054 * * [simplify]: Extracting #10: cost 8 inf + 95451 447.074 * * [simplify]: Extracting #11: cost 0 inf + 103550 447.097 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 447.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 447.097 * * * * [progress]: [ 1252 / 5906 ] simplifiying candidate # 447.098 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 447.098 * * [simplify]: iters left: 6 (48 enodes) 447.110 * * [simplify]: iters left: 5 (242 enodes) 447.164 * * [simplify]: Extracting #0: cost 1 inf + 0 447.164 * * [simplify]: Extracting #1: cost 3 inf + 0 447.164 * * [simplify]: Extracting #2: cost 6 inf + 0 447.164 * * [simplify]: Extracting #3: cost 60 inf + 0 447.167 * * [simplify]: Extracting #4: cost 141 inf + 0 447.167 * * [simplify]: Extracting #5: cost 198 inf + 210 447.168 * * [simplify]: Extracting #6: cost 229 inf + 4922 447.171 * * [simplify]: Extracting #7: cost 204 inf + 11028 447.174 * * [simplify]: Extracting #8: cost 147 inf + 20808 447.180 * * [simplify]: Extracting #9: cost 90 inf + 40781 447.196 * * [simplify]: Extracting #10: cost 12 inf + 91503 447.216 * * [simplify]: Extracting #11: cost 0 inf + 102822 447.237 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) 447.237 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 447.238 * * * * [progress]: [ 1253 / 5906 ] simplifiying candidate # 447.238 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 447.238 * * [simplify]: iters left: 6 (42 enodes) 447.249 * * [simplify]: iters left: 5 (206 enodes) 447.293 * * [simplify]: Extracting #0: cost 1 inf + 0 447.293 * * [simplify]: Extracting #1: cost 3 inf + 0 447.293 * * [simplify]: Extracting #2: cost 6 inf + 0 447.294 * * [simplify]: Extracting #3: cost 52 inf + 0 447.294 * * [simplify]: Extracting #4: cost 109 inf + 0 447.294 * * [simplify]: Extracting #5: cost 149 inf + 86 447.295 * * [simplify]: Extracting #6: cost 200 inf + 991 447.296 * * [simplify]: Extracting #7: cost 185 inf + 4360 447.299 * * [simplify]: Extracting #8: cost 116 inf + 18201 447.308 * * [simplify]: Extracting #9: cost 43 inf + 50403 447.325 * * [simplify]: Extracting #10: cost 1 inf + 82069 447.345 * * [simplify]: Extracting #11: cost 0 inf + 82281 447.363 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) 447.363 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 447.364 * * * * [progress]: [ 1254 / 5906 ] simplifiying candidate # 447.364 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 447.364 * * [simplify]: iters left: 6 (47 enodes) 447.376 * * [simplify]: iters left: 5 (234 enodes) 447.429 * * [simplify]: Extracting #0: cost 1 inf + 0 447.429 * * [simplify]: Extracting #1: cost 3 inf + 0 447.429 * * [simplify]: Extracting #2: cost 10 inf + 0 447.429 * * [simplify]: Extracting #3: cost 72 inf + 0 447.429 * * [simplify]: Extracting #4: cost 126 inf + 42 447.430 * * [simplify]: Extracting #5: cost 170 inf + 290 447.431 * * [simplify]: Extracting #6: cost 216 inf + 3172 447.432 * * [simplify]: Extracting #7: cost 201 inf + 6658 447.435 * * [simplify]: Extracting #8: cost 152 inf + 15063 447.439 * * [simplify]: Extracting #9: cost 108 inf + 27045 447.447 * * [simplify]: Extracting #10: cost 42 inf + 58817 447.464 * * [simplify]: Extracting #11: cost 6 inf + 88542 447.484 * * [simplify]: Extracting #12: cost 0 inf + 97332 447.504 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 447.504 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 447.505 * * * * [progress]: [ 1255 / 5906 ] simplifiying candidate # 447.505 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 447.505 * * [simplify]: iters left: 6 (42 enodes) 447.518 * * [simplify]: iters left: 5 (206 enodes) 447.561 * * [simplify]: Extracting #0: cost 1 inf + 0 447.561 * * [simplify]: Extracting #1: cost 3 inf + 0 447.561 * * [simplify]: Extracting #2: cost 10 inf + 0 447.561 * * [simplify]: Extracting #3: cost 64 inf + 0 447.561 * * [simplify]: Extracting #4: cost 105 inf + 208 447.562 * * [simplify]: Extracting #5: cost 129 inf + 2038 447.563 * * [simplify]: Extracting #6: cost 186 inf + 2932 447.564 * * [simplify]: Extracting #7: cost 178 inf + 5168 447.567 * * [simplify]: Extracting #8: cost 113 inf + 18277 447.574 * * [simplify]: Extracting #9: cost 58 inf + 43711 447.592 * * [simplify]: Extracting #10: cost 2 inf + 78584 447.608 * * [simplify]: Extracting #11: cost 0 inf + 79331 447.625 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 447.625 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 447.625 * * * * [progress]: [ 1256 / 5906 ] simplifiying candidate # 447.626 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 447.626 * * [simplify]: iters left: 6 (47 enodes) 447.638 * * [simplify]: iters left: 5 (234 enodes) 447.693 * * [simplify]: Extracting #0: cost 1 inf + 0 447.693 * * [simplify]: Extracting #1: cost 3 inf + 0 447.693 * * [simplify]: Extracting #2: cost 10 inf + 0 447.693 * * [simplify]: Extracting #3: cost 72 inf + 0 447.693 * * [simplify]: Extracting #4: cost 126 inf + 42 447.694 * * [simplify]: Extracting #5: cost 168 inf + 494 447.695 * * [simplify]: Extracting #6: cost 210 inf + 4424 447.696 * * [simplify]: Extracting #7: cost 201 inf + 6658 447.699 * * [simplify]: Extracting #8: cost 136 inf + 20206 447.707 * * [simplify]: Extracting #9: cost 59 inf + 48798 447.722 * * [simplify]: Extracting #10: cost 15 inf + 83633 447.742 * * [simplify]: Extracting #11: cost 0 inf + 98292 447.765 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 447.765 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 447.766 * * * * [progress]: [ 1257 / 5906 ] simplifiying candidate # 447.766 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 447.766 * * [simplify]: iters left: 6 (42 enodes) 447.777 * * [simplify]: iters left: 5 (206 enodes) 447.820 * * [simplify]: Extracting #0: cost 1 inf + 0 447.820 * * [simplify]: Extracting #1: cost 3 inf + 0 447.820 * * [simplify]: Extracting #2: cost 10 inf + 0 447.820 * * [simplify]: Extracting #3: cost 63 inf + 0 447.820 * * [simplify]: Extracting #4: cost 106 inf + 86 447.821 * * [simplify]: Extracting #5: cost 131 inf + 1634 447.822 * * [simplify]: Extracting #6: cost 186 inf + 2932 447.823 * * [simplify]: Extracting #7: cost 181 inf + 4681 447.826 * * [simplify]: Extracting #8: cost 112 inf + 18398 447.836 * * [simplify]: Extracting #9: cost 56 inf + 44767 447.851 * * [simplify]: Extracting #10: cost 2 inf + 78904 447.868 * * [simplify]: Extracting #11: cost 0 inf + 79731 447.884 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 447.884 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 447.885 * * * * [progress]: [ 1258 / 5906 ] simplifiying candidate # 447.885 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 447.885 * * [simplify]: iters left: 6 (52 enodes) 447.898 * * [simplify]: iters left: 5 (254 enodes) 447.956 * * [simplify]: Extracting #0: cost 1 inf + 0 447.956 * * [simplify]: Extracting #1: cost 3 inf + 0 447.956 * * [simplify]: Extracting #2: cost 6 inf + 0 447.956 * * [simplify]: Extracting #3: cost 56 inf + 0 447.956 * * [simplify]: Extracting #4: cost 130 inf + 0 447.957 * * [simplify]: Extracting #5: cost 210 inf + 0 447.958 * * [simplify]: Extracting #6: cost 287 inf + 510 447.959 * * [simplify]: Extracting #7: cost 253 inf + 5684 447.962 * * [simplify]: Extracting #8: cost 168 inf + 23950 447.970 * * [simplify]: Extracting #9: cost 105 inf + 43223 447.981 * * [simplify]: Extracting #10: cost 54 inf + 66349 448.001 * * [simplify]: Extracting #11: cost 10 inf + 113489 448.028 * * [simplify]: Extracting #12: cost 0 inf + 126059 448.053 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) 448.053 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 448.054 * * * * [progress]: [ 1259 / 5906 ] simplifiying candidate # 448.054 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 448.054 * * [simplify]: iters left: 6 (53 enodes) 448.068 * * [simplify]: iters left: 5 (263 enodes) 448.128 * * [simplify]: Extracting #0: cost 1 inf + 0 448.128 * * [simplify]: Extracting #1: cost 3 inf + 0 448.128 * * [simplify]: Extracting #2: cost 6 inf + 0 448.128 * * [simplify]: Extracting #3: cost 60 inf + 0 448.128 * * [simplify]: Extracting #4: cost 153 inf + 0 448.129 * * [simplify]: Extracting #5: cost 223 inf + 86 448.130 * * [simplify]: Extracting #6: cost 266 inf + 4356 448.132 * * [simplify]: Extracting #7: cost 233 inf + 10870 448.137 * * [simplify]: Extracting #8: cost 151 inf + 29046 448.145 * * [simplify]: Extracting #9: cost 76 inf + 55115 448.157 * * [simplify]: Extracting #10: cost 52 inf + 71443 448.180 * * [simplify]: Extracting #11: cost 9 inf + 117451 448.205 * * [simplify]: Extracting #12: cost 0 inf + 128956 448.230 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 448.231 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 448.231 * * * * [progress]: [ 1260 / 5906 ] simplifiying candidate # 448.231 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 448.232 * * [simplify]: iters left: 6 (53 enodes) 448.245 * * [simplify]: iters left: 5 (263 enodes) 448.306 * * [simplify]: Extracting #0: cost 1 inf + 0 448.306 * * [simplify]: Extracting #1: cost 3 inf + 0 448.306 * * [simplify]: Extracting #2: cost 6 inf + 0 448.306 * * [simplify]: Extracting #3: cost 62 inf + 0 448.306 * * [simplify]: Extracting #4: cost 151 inf + 0 448.307 * * [simplify]: Extracting #5: cost 221 inf + 2 448.308 * * [simplify]: Extracting #6: cost 270 inf + 3661 448.310 * * [simplify]: Extracting #7: cost 232 inf + 10884 448.313 * * [simplify]: Extracting #8: cost 178 inf + 18977 448.319 * * [simplify]: Extracting #9: cost 113 inf + 41173 448.330 * * [simplify]: Extracting #10: cost 57 inf + 66350 448.352 * * [simplify]: Extracting #11: cost 12 inf + 111248 448.376 * * [simplify]: Extracting #12: cost 0 inf + 125228 448.400 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 448.401 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 448.401 * * * * [progress]: [ 1261 / 5906 ] simplifiying candidate # 448.401 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 448.402 * * [simplify]: iters left: 6 (47 enodes) 448.414 * * [simplify]: iters left: 5 (227 enodes) 448.464 * * [simplify]: Extracting #0: cost 1 inf + 0 448.464 * * [simplify]: Extracting #1: cost 3 inf + 0 448.464 * * [simplify]: Extracting #2: cost 6 inf + 0 448.464 * * [simplify]: Extracting #3: cost 54 inf + 0 448.465 * * [simplify]: Extracting #4: cost 119 inf + 0 448.465 * * [simplify]: Extracting #5: cost 168 inf + 44 448.466 * * [simplify]: Extracting #6: cost 227 inf + 1516 448.467 * * [simplify]: Extracting #7: cost 211 inf + 4321 448.470 * * [simplify]: Extracting #8: cost 160 inf + 11826 448.475 * * [simplify]: Extracting #9: cost 112 inf + 29923 448.484 * * [simplify]: Extracting #10: cost 46 inf + 58378 448.500 * * [simplify]: Extracting #11: cost 8 inf + 90887 448.527 * * [simplify]: Extracting #12: cost 1 inf + 99902 448.547 * * [simplify]: Extracting #13: cost 0 inf + 101807 448.567 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 448.567 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 448.567 * * * * [progress]: [ 1262 / 5906 ] simplifiying candidate # 448.568 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 448.568 * * [simplify]: iters left: 6 (52 enodes) 448.581 * * [simplify]: iters left: 5 (255 enodes) 448.637 * * [simplify]: Extracting #0: cost 1 inf + 0 448.637 * * [simplify]: Extracting #1: cost 3 inf + 0 448.638 * * [simplify]: Extracting #2: cost 10 inf + 0 448.638 * * [simplify]: Extracting #3: cost 74 inf + 0 448.638 * * [simplify]: Extracting #4: cost 137 inf + 1 448.638 * * [simplify]: Extracting #5: cost 190 inf + 207 448.639 * * [simplify]: Extracting #6: cost 250 inf + 2325 448.641 * * [simplify]: Extracting #7: cost 219 inf + 7837 448.644 * * [simplify]: Extracting #8: cost 164 inf + 19083 448.650 * * [simplify]: Extracting #9: cost 103 inf + 42696 448.662 * * [simplify]: Extracting #10: cost 42 inf + 72528 448.682 * * [simplify]: Extracting #11: cost 10 inf + 105128 448.704 * * [simplify]: Extracting #12: cost 1 inf + 116073 448.727 * * [simplify]: Extracting #13: cost 0 inf + 118138 448.750 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 448.750 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 448.751 * * * * [progress]: [ 1263 / 5906 ] simplifiying candidate # 448.751 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 448.751 * * [simplify]: iters left: 6 (47 enodes) 448.763 * * [simplify]: iters left: 5 (227 enodes) 448.813 * * [simplify]: Extracting #0: cost 1 inf + 0 448.813 * * [simplify]: Extracting #1: cost 3 inf + 0 448.813 * * [simplify]: Extracting #2: cost 10 inf + 0 448.813 * * [simplify]: Extracting #3: cost 66 inf + 0 448.814 * * [simplify]: Extracting #4: cost 117 inf + 44 448.814 * * [simplify]: Extracting #5: cost 152 inf + 1228 448.815 * * [simplify]: Extracting #6: cost 216 inf + 2932 448.817 * * [simplify]: Extracting #7: cost 208 inf + 4561 448.820 * * [simplify]: Extracting #8: cost 127 inf + 24617 448.830 * * [simplify]: Extracting #9: cost 41 inf + 63330 448.846 * * [simplify]: Extracting #10: cost 6 inf + 88947 448.867 * * [simplify]: Extracting #11: cost 1 inf + 95992 448.887 * * [simplify]: Extracting #12: cost 0 inf + 97817 448.906 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 448.906 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 448.907 * * * * [progress]: [ 1264 / 5906 ] simplifiying candidate # 448.907 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 448.907 * * [simplify]: iters left: 6 (52 enodes) 448.921 * * [simplify]: iters left: 5 (255 enodes) 448.976 * * [simplify]: Extracting #0: cost 1 inf + 0 448.976 * * [simplify]: Extracting #1: cost 3 inf + 0 448.977 * * [simplify]: Extracting #2: cost 10 inf + 0 448.977 * * [simplify]: Extracting #3: cost 74 inf + 0 448.977 * * [simplify]: Extracting #4: cost 137 inf + 1 448.977 * * [simplify]: Extracting #5: cost 190 inf + 207 448.978 * * [simplify]: Extracting #6: cost 253 inf + 1639 448.980 * * [simplify]: Extracting #7: cost 225 inf + 6305 448.983 * * [simplify]: Extracting #8: cost 163 inf + 19195 448.989 * * [simplify]: Extracting #9: cost 105 inf + 42086 449.000 * * [simplify]: Extracting #10: cost 42 inf + 73488 449.020 * * [simplify]: Extracting #11: cost 10 inf + 106088 449.043 * * [simplify]: Extracting #12: cost 1 inf + 117033 449.066 * * [simplify]: Extracting #13: cost 0 inf + 119098 449.090 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 449.090 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 449.090 * * * * [progress]: [ 1265 / 5906 ] simplifiying candidate # 449.091 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 449.091 * * [simplify]: iters left: 6 (47 enodes) 449.103 * * [simplify]: iters left: 5 (227 enodes) 449.154 * * [simplify]: Extracting #0: cost 1 inf + 0 449.154 * * [simplify]: Extracting #1: cost 3 inf + 0 449.154 * * [simplify]: Extracting #2: cost 10 inf + 0 449.154 * * [simplify]: Extracting #3: cost 65 inf + 0 449.154 * * [simplify]: Extracting #4: cost 116 inf + 86 449.154 * * [simplify]: Extracting #5: cost 150 inf + 1472 449.155 * * [simplify]: Extracting #6: cost 216 inf + 2932 449.157 * * [simplify]: Extracting #7: cost 211 inf + 4196 449.160 * * [simplify]: Extracting #8: cost 122 inf + 26795 449.170 * * [simplify]: Extracting #9: cost 42 inf + 62766 449.186 * * [simplify]: Extracting #10: cost 6 inf + 89587 449.207 * * [simplify]: Extracting #11: cost 1 inf + 96552 449.227 * * [simplify]: Extracting #12: cost 0 inf + 98377 449.246 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 449.246 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 449.247 * * * * [progress]: [ 1266 / 5906 ] simplifiying candidate # 449.247 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 449.247 * * [simplify]: iters left: 6 (52 enodes) 449.261 * * [simplify]: iters left: 5 (254 enodes) 449.317 * * [simplify]: Extracting #0: cost 1 inf + 0 449.317 * * [simplify]: Extracting #1: cost 3 inf + 0 449.317 * * [simplify]: Extracting #2: cost 6 inf + 0 449.317 * * [simplify]: Extracting #3: cost 56 inf + 0 449.318 * * [simplify]: Extracting #4: cost 130 inf + 0 449.318 * * [simplify]: Extracting #5: cost 210 inf + 0 449.319 * * [simplify]: Extracting #6: cost 281 inf + 595 449.320 * * [simplify]: Extracting #7: cost 218 inf + 11598 449.325 * * [simplify]: Extracting #8: cost 137 inf + 35507 449.334 * * [simplify]: Extracting #9: cost 93 inf + 51926 449.344 * * [simplify]: Extracting #10: cost 53 inf + 65917 449.365 * * [simplify]: Extracting #11: cost 10 inf + 111352 449.387 * * [simplify]: Extracting #12: cost 1 inf + 121337 449.410 * * [simplify]: Extracting #13: cost 0 inf + 123402 449.434 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 449.434 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 449.434 * * * * [progress]: [ 1267 / 5906 ] simplifiying candidate # 449.434 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 449.435 * * [simplify]: iters left: 6 (53 enodes) 449.449 * * [simplify]: iters left: 5 (263 enodes) 449.509 * * [simplify]: Extracting #0: cost 1 inf + 0 449.509 * * [simplify]: Extracting #1: cost 3 inf + 0 449.509 * * [simplify]: Extracting #2: cost 6 inf + 0 449.509 * * [simplify]: Extracting #3: cost 60 inf + 0 449.509 * * [simplify]: Extracting #4: cost 153 inf + 0 449.510 * * [simplify]: Extracting #5: cost 223 inf + 86 449.511 * * [simplify]: Extracting #6: cost 254 inf + 5016 449.514 * * [simplify]: Extracting #7: cost 183 inf + 21021 449.521 * * [simplify]: Extracting #8: cost 138 inf + 38917 449.532 * * [simplify]: Extracting #9: cost 94 inf + 56262 449.544 * * [simplify]: Extracting #10: cost 48 inf + 74059 449.565 * * [simplify]: Extracting #11: cost 5 inf + 118974 449.589 * * [simplify]: Extracting #12: cost 0 inf + 124539 449.612 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 449.612 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 449.613 * * * * [progress]: [ 1268 / 5906 ] simplifiying candidate # 449.613 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 449.613 * * [simplify]: iters left: 6 (53 enodes) 449.628 * * [simplify]: iters left: 5 (263 enodes) 449.686 * * [simplify]: Extracting #0: cost 1 inf + 0 449.686 * * [simplify]: Extracting #1: cost 3 inf + 0 449.686 * * [simplify]: Extracting #2: cost 6 inf + 0 449.686 * * [simplify]: Extracting #3: cost 62 inf + 0 449.686 * * [simplify]: Extracting #4: cost 151 inf + 0 449.687 * * [simplify]: Extracting #5: cost 220 inf + 44 449.688 * * [simplify]: Extracting #6: cost 251 inf + 5491 449.693 * * [simplify]: Extracting #7: cost 205 inf + 14002 449.697 * * [simplify]: Extracting #8: cost 153 inf + 27267 449.706 * * [simplify]: Extracting #9: cost 94 inf + 53482 449.718 * * [simplify]: Extracting #10: cost 46 inf + 74903 449.736 * * [simplify]: Extracting #11: cost 12 inf + 109471 449.759 * * [simplify]: Extracting #12: cost 0 inf + 123651 449.784 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 449.784 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 449.784 * * * * [progress]: [ 1269 / 5906 ] simplifiying candidate # 449.785 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 449.785 * * [simplify]: iters left: 6 (47 enodes) 449.797 * * [simplify]: iters left: 5 (227 enodes) 449.845 * * [simplify]: Extracting #0: cost 1 inf + 0 449.845 * * [simplify]: Extracting #1: cost 3 inf + 0 449.845 * * [simplify]: Extracting #2: cost 6 inf + 0 449.845 * * [simplify]: Extracting #3: cost 54 inf + 0 449.845 * * [simplify]: Extracting #4: cost 119 inf + 0 449.845 * * [simplify]: Extracting #5: cost 168 inf + 44 449.846 * * [simplify]: Extracting #6: cost 220 inf + 1644 449.848 * * [simplify]: Extracting #7: cost 174 inf + 9035 449.854 * * [simplify]: Extracting #8: cost 136 inf + 21293 449.861 * * [simplify]: Extracting #9: cost 88 inf + 41585 449.870 * * [simplify]: Extracting #10: cost 45 inf + 58251 449.885 * * [simplify]: Extracting #11: cost 7 inf + 89215 449.903 * * [simplify]: Extracting #12: cost 1 inf + 97325 449.921 * * [simplify]: Extracting #13: cost 0 inf + 99190 449.940 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 449.940 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 449.940 * * * * [progress]: [ 1270 / 5906 ] simplifiying candidate # 449.940 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 449.941 * * [simplify]: iters left: 6 (52 enodes) 449.955 * * [simplify]: iters left: 5 (255 enodes) 450.010 * * [simplify]: Extracting #0: cost 1 inf + 0 450.010 * * [simplify]: Extracting #1: cost 3 inf + 0 450.010 * * [simplify]: Extracting #2: cost 10 inf + 0 450.010 * * [simplify]: Extracting #3: cost 74 inf + 0 450.010 * * [simplify]: Extracting #4: cost 137 inf + 1 450.011 * * [simplify]: Extracting #5: cost 190 inf + 207 450.012 * * [simplify]: Extracting #6: cost 234 inf + 3550 450.017 * * [simplify]: Extracting #7: cost 188 inf + 13589 450.021 * * [simplify]: Extracting #8: cost 141 inf + 27697 450.029 * * [simplify]: Extracting #9: cost 91 inf + 48720 450.039 * * [simplify]: Extracting #10: cost 47 inf + 67626 450.057 * * [simplify]: Extracting #11: cost 9 inf + 103616 450.080 * * [simplify]: Extracting #12: cost 0 inf + 114001 450.102 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 450.102 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 450.103 * * * * [progress]: [ 1271 / 5906 ] simplifiying candidate # 450.103 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 450.103 * * [simplify]: iters left: 6 (47 enodes) 450.116 * * [simplify]: iters left: 5 (227 enodes) 450.164 * * [simplify]: Extracting #0: cost 1 inf + 0 450.164 * * [simplify]: Extracting #1: cost 3 inf + 0 450.164 * * [simplify]: Extracting #2: cost 10 inf + 0 450.164 * * [simplify]: Extracting #3: cost 66 inf + 0 450.164 * * [simplify]: Extracting #4: cost 117 inf + 44 450.165 * * [simplify]: Extracting #5: cost 153 inf + 1186 450.166 * * [simplify]: Extracting #6: cost 210 inf + 3057 450.167 * * [simplify]: Extracting #7: cost 181 inf + 7539 450.171 * * [simplify]: Extracting #8: cost 114 inf + 27801 450.183 * * [simplify]: Extracting #9: cost 43 inf + 60288 450.198 * * [simplify]: Extracting #10: cost 7 inf + 85918 450.215 * * [simplify]: Extracting #11: cost 1 inf + 93535 450.233 * * [simplify]: Extracting #12: cost 0 inf + 95320 450.251 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 450.251 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 450.251 * * * * [progress]: [ 1272 / 5906 ] simplifiying candidate # 450.252 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 450.252 * * [simplify]: iters left: 6 (52 enodes) 450.265 * * [simplify]: iters left: 5 (255 enodes) 450.321 * * [simplify]: Extracting #0: cost 1 inf + 0 450.321 * * [simplify]: Extracting #1: cost 3 inf + 0 450.321 * * [simplify]: Extracting #2: cost 10 inf + 0 450.321 * * [simplify]: Extracting #3: cost 74 inf + 0 450.321 * * [simplify]: Extracting #4: cost 137 inf + 1 450.322 * * [simplify]: Extracting #5: cost 190 inf + 207 450.323 * * [simplify]: Extracting #6: cost 238 inf + 2783 450.325 * * [simplify]: Extracting #7: cost 198 inf + 10603 450.329 * * [simplify]: Extracting #8: cost 141 inf + 28177 450.337 * * [simplify]: Extracting #9: cost 90 inf + 49945 450.350 * * [simplify]: Extracting #10: cost 47 inf + 68586 450.367 * * [simplify]: Extracting #11: cost 9 inf + 104576 450.391 * * [simplify]: Extracting #12: cost 0 inf + 114961 450.413 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 450.413 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 450.414 * * * * [progress]: [ 1273 / 5906 ] simplifiying candidate # 450.414 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 450.414 * * [simplify]: iters left: 6 (47 enodes) 450.426 * * [simplify]: iters left: 5 (227 enodes) 450.474 * * [simplify]: Extracting #0: cost 1 inf + 0 450.474 * * [simplify]: Extracting #1: cost 3 inf + 0 450.474 * * [simplify]: Extracting #2: cost 10 inf + 0 450.475 * * [simplify]: Extracting #3: cost 65 inf + 0 450.475 * * [simplify]: Extracting #4: cost 116 inf + 86 450.475 * * [simplify]: Extracting #5: cost 150 inf + 1472 450.476 * * [simplify]: Extracting #6: cost 210 inf + 3017 450.478 * * [simplify]: Extracting #7: cost 183 inf + 7255 450.482 * * [simplify]: Extracting #8: cost 113 inf + 28547 450.492 * * [simplify]: Extracting #9: cost 43 inf + 60608 450.506 * * [simplify]: Extracting #10: cost 6 inf + 86530 450.526 * * [simplify]: Extracting #11: cost 1 inf + 93935 450.543 * * [simplify]: Extracting #12: cost 0 inf + 95720 450.561 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 450.562 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 450.562 * * * * [progress]: [ 1274 / 5906 ] simplifiying candidate # 450.562 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 450.563 * * [simplify]: iters left: 6 (52 enodes) 450.576 * * [simplify]: iters left: 5 (255 enodes) 450.633 * * [simplify]: Extracting #0: cost 1 inf + 0 450.633 * * [simplify]: Extracting #1: cost 3 inf + 0 450.633 * * [simplify]: Extracting #2: cost 6 inf + 0 450.633 * * [simplify]: Extracting #3: cost 56 inf + 0 450.634 * * [simplify]: Extracting #4: cost 130 inf + 0 450.634 * * [simplify]: Extracting #5: cost 209 inf + 0 450.635 * * [simplify]: Extracting #6: cost 287 inf + 681 450.636 * * [simplify]: Extracting #7: cost 236 inf + 10614 450.643 * * [simplify]: Extracting #8: cost 123 inf + 44126 450.654 * * [simplify]: Extracting #9: cost 57 inf + 67540 450.673 * * [simplify]: Extracting #10: cost 8 inf + 114339 450.700 * * [simplify]: Extracting #11: cost 1 inf + 122754 450.726 * * [simplify]: Extracting #12: cost 0 inf + 124819 450.750 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) 450.750 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 450.751 * * * * [progress]: [ 1275 / 5906 ] simplifiying candidate # 450.751 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 450.751 * * [simplify]: iters left: 6 (53 enodes) 450.765 * * [simplify]: iters left: 5 (264 enodes) 450.824 * * [simplify]: Extracting #0: cost 1 inf + 0 450.824 * * [simplify]: Extracting #1: cost 3 inf + 0 450.824 * * [simplify]: Extracting #2: cost 6 inf + 0 450.824 * * [simplify]: Extracting #3: cost 60 inf + 0 450.824 * * [simplify]: Extracting #4: cost 153 inf + 0 450.825 * * [simplify]: Extracting #5: cost 223 inf + 44 450.826 * * [simplify]: Extracting #6: cost 267 inf + 3874 450.828 * * [simplify]: Extracting #7: cost 214 inf + 14429 450.833 * * [simplify]: Extracting #8: cost 164 inf + 25701 450.840 * * [simplify]: Extracting #9: cost 112 inf + 43949 450.854 * * [simplify]: Extracting #10: cost 52 inf + 74877 450.874 * * [simplify]: Extracting #11: cost 9 inf + 117251 450.899 * * [simplify]: Extracting #12: cost 0 inf + 129036 450.924 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 450.924 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 450.925 * * * * [progress]: [ 1276 / 5906 ] simplifiying candidate # 450.925 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 450.925 * * [simplify]: iters left: 6 (53 enodes) 450.940 * * [simplify]: iters left: 5 (264 enodes) 450.998 * * [simplify]: Extracting #0: cost 1 inf + 0 450.998 * * [simplify]: Extracting #1: cost 3 inf + 0 450.998 * * [simplify]: Extracting #2: cost 6 inf + 0 450.999 * * [simplify]: Extracting #3: cost 62 inf + 0 450.999 * * [simplify]: Extracting #4: cost 151 inf + 0 450.999 * * [simplify]: Extracting #5: cost 219 inf + 44 451.001 * * [simplify]: Extracting #6: cost 255 inf + 6249 451.003 * * [simplify]: Extracting #7: cost 231 inf + 10906 451.008 * * [simplify]: Extracting #8: cost 177 inf + 19898 451.016 * * [simplify]: Extracting #9: cost 123 inf + 36359 451.027 * * [simplify]: Extracting #10: cost 62 inf + 66117 451.046 * * [simplify]: Extracting #11: cost 13 inf + 109903 451.070 * * [simplify]: Extracting #12: cost 0 inf + 125748 451.094 * * [simplify]: Extracting #13: cost 0 inf + 125388 451.119 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 451.119 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 451.120 * * * * [progress]: [ 1277 / 5906 ] simplifiying candidate # 451.120 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 451.120 * * [simplify]: iters left: 6 (47 enodes) 451.132 * * [simplify]: iters left: 5 (228 enodes) 451.180 * * [simplify]: Extracting #0: cost 1 inf + 0 451.180 * * [simplify]: Extracting #1: cost 3 inf + 0 451.180 * * [simplify]: Extracting #2: cost 6 inf + 0 451.180 * * [simplify]: Extracting #3: cost 54 inf + 0 451.180 * * [simplify]: Extracting #4: cost 119 inf + 0 451.181 * * [simplify]: Extracting #5: cost 167 inf + 44 451.184 * * [simplify]: Extracting #6: cost 225 inf + 1840 451.185 * * [simplify]: Extracting #7: cost 211 inf + 4361 451.187 * * [simplify]: Extracting #8: cost 161 inf + 11983 451.192 * * [simplify]: Extracting #9: cost 106 inf + 31844 451.202 * * [simplify]: Extracting #10: cost 45 inf + 59548 451.217 * * [simplify]: Extracting #11: cost 9 inf + 90062 451.237 * * [simplify]: Extracting #12: cost 1 inf + 100382 451.257 * * [simplify]: Extracting #13: cost 0 inf + 102287 451.278 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 451.278 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 451.278 * * * * [progress]: [ 1278 / 5906 ] simplifiying candidate # 451.278 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 451.279 * * [simplify]: iters left: 6 (52 enodes) 451.292 * * [simplify]: iters left: 5 (256 enodes) 451.349 * * [simplify]: Extracting #0: cost 1 inf + 0 451.349 * * [simplify]: Extracting #1: cost 3 inf + 0 451.350 * * [simplify]: Extracting #2: cost 10 inf + 0 451.350 * * [simplify]: Extracting #3: cost 74 inf + 0 451.350 * * [simplify]: Extracting #4: cost 137 inf + 1 451.352 * * [simplify]: Extracting #5: cost 189 inf + 207 451.353 * * [simplify]: Extracting #6: cost 251 inf + 2122 451.355 * * [simplify]: Extracting #7: cost 212 inf + 9332 451.359 * * [simplify]: Extracting #8: cost 136 inf + 27684 451.367 * * [simplify]: Extracting #9: cost 69 inf + 54956 451.386 * * [simplify]: Extracting #10: cost 9 inf + 108534 451.410 * * [simplify]: Extracting #11: cost 1 inf + 117553 451.435 * * [simplify]: Extracting #12: cost 0 inf + 119658 451.460 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) 451.460 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 451.461 * * * * [progress]: [ 1279 / 5906 ] simplifiying candidate # 451.461 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 451.462 * * [simplify]: iters left: 6 (47 enodes) 451.474 * * [simplify]: iters left: 5 (228 enodes) 451.521 * * [simplify]: Extracting #0: cost 1 inf + 0 451.521 * * [simplify]: Extracting #1: cost 3 inf + 0 451.521 * * [simplify]: Extracting #2: cost 10 inf + 0 451.521 * * [simplify]: Extracting #3: cost 66 inf + 0 451.521 * * [simplify]: Extracting #4: cost 115 inf + 208 451.522 * * [simplify]: Extracting #5: cost 146 inf + 1958 451.523 * * [simplify]: Extracting #6: cost 216 inf + 2932 451.526 * * [simplify]: Extracting #7: cost 210 inf + 4116 451.530 * * [simplify]: Extracting #8: cost 125 inf + 27447 451.539 * * [simplify]: Extracting #9: cost 57 inf + 55416 451.553 * * [simplify]: Extracting #10: cost 14 inf + 82533 451.571 * * [simplify]: Extracting #11: cost 3 inf + 92942 451.590 * * [simplify]: Extracting #12: cost 1 inf + 96552 451.610 * * [simplify]: Extracting #13: cost 0 inf + 98377 451.630 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 451.631 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 451.631 * * * * [progress]: [ 1280 / 5906 ] simplifiying candidate # 451.631 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 451.632 * * [simplify]: iters left: 6 (52 enodes) 451.647 * * [simplify]: iters left: 5 (256 enodes) 451.704 * * [simplify]: Extracting #0: cost 1 inf + 0 451.704 * * [simplify]: Extracting #1: cost 3 inf + 0 451.704 * * [simplify]: Extracting #2: cost 10 inf + 0 451.704 * * [simplify]: Extracting #3: cost 74 inf + 0 451.704 * * [simplify]: Extracting #4: cost 137 inf + 1 451.705 * * [simplify]: Extracting #5: cost 189 inf + 207 451.705 * * [simplify]: Extracting #6: cost 255 inf + 1355 451.707 * * [simplify]: Extracting #7: cost 214 inf + 9018 451.711 * * [simplify]: Extracting #8: cost 137 inf + 27299 451.720 * * [simplify]: Extracting #9: cost 68 inf + 56120 451.739 * * [simplify]: Extracting #10: cost 9 inf + 109414 451.762 * * [simplify]: Extracting #11: cost 1 inf + 118513 451.787 * * [simplify]: Extracting #12: cost 0 inf + 120618 451.812 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) 451.812 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 451.813 * * * * [progress]: [ 1281 / 5906 ] simplifiying candidate # 451.813 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 451.813 * * [simplify]: iters left: 6 (47 enodes) 451.825 * * [simplify]: iters left: 5 (228 enodes) 451.875 * * [simplify]: Extracting #0: cost 1 inf + 0 451.875 * * [simplify]: Extracting #1: cost 3 inf + 0 451.875 * * [simplify]: Extracting #2: cost 10 inf + 0 451.875 * * [simplify]: Extracting #3: cost 65 inf + 0 451.875 * * [simplify]: Extracting #4: cost 116 inf + 86 451.876 * * [simplify]: Extracting #5: cost 151 inf + 1349 451.876 * * [simplify]: Extracting #6: cost 218 inf + 2689 451.878 * * [simplify]: Extracting #7: cost 208 inf + 4520 451.881 * * [simplify]: Extracting #8: cost 124 inf + 27673 451.891 * * [simplify]: Extracting #9: cost 56 inf + 56380 451.905 * * [simplify]: Extracting #10: cost 11 inf + 85142 451.924 * * [simplify]: Extracting #11: cost 1 inf + 97112 451.945 * * [simplify]: Extracting #12: cost 0 inf + 98857 451.964 * * [simplify]: Extracting #13: cost 0 inf + 98777 451.985 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 451.985 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 451.986 * * * * [progress]: [ 1282 / 5906 ] simplifiying candidate # 451.986 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 451.986 * * [simplify]: iters left: 6 (52 enodes) 451.999 * * [simplify]: iters left: 5 (255 enodes) 452.059 * * [simplify]: Extracting #0: cost 1 inf + 0 452.059 * * [simplify]: Extracting #1: cost 3 inf + 0 452.059 * * [simplify]: Extracting #2: cost 6 inf + 0 452.059 * * [simplify]: Extracting #3: cost 56 inf + 0 452.059 * * [simplify]: Extracting #4: cost 130 inf + 0 452.060 * * [simplify]: Extracting #5: cost 210 inf + 0 452.060 * * [simplify]: Extracting #6: cost 282 inf + 766 452.062 * * [simplify]: Extracting #7: cost 217 inf + 12253 452.069 * * [simplify]: Extracting #8: cost 112 inf + 45549 452.087 * * [simplify]: Extracting #9: cost 12 inf + 110672 452.109 * * [simplify]: Extracting #10: cost 1 inf + 120179 452.133 * * [simplify]: Extracting #11: cost 0 inf + 122204 452.157 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 452.157 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 452.158 * * * * [progress]: [ 1283 / 5906 ] simplifiying candidate # 452.158 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 452.159 * * [simplify]: iters left: 6 (53 enodes) 452.173 * * [simplify]: iters left: 5 (264 enodes) 452.238 * * [simplify]: Extracting #0: cost 1 inf + 0 452.238 * * [simplify]: Extracting #1: cost 3 inf + 0 452.238 * * [simplify]: Extracting #2: cost 6 inf + 0 452.238 * * [simplify]: Extracting #3: cost 60 inf + 0 452.238 * * [simplify]: Extracting #4: cost 153 inf + 0 452.239 * * [simplify]: Extracting #5: cost 224 inf + 44 452.240 * * [simplify]: Extracting #6: cost 260 inf + 4362 452.243 * * [simplify]: Extracting #7: cost 202 inf + 14975 452.248 * * [simplify]: Extracting #8: cost 150 inf + 30449 452.257 * * [simplify]: Extracting #9: cost 97 inf + 53350 452.268 * * [simplify]: Extracting #10: cost 51 inf + 73026 452.288 * * [simplify]: Extracting #11: cost 10 inf + 115571 452.313 * * [simplify]: Extracting #12: cost 0 inf + 126301 452.337 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 452.337 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 452.338 * * * * [progress]: [ 1284 / 5906 ] simplifiying candidate # 452.338 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 452.338 * * [simplify]: iters left: 6 (53 enodes) 452.352 * * [simplify]: iters left: 5 (264 enodes) 452.412 * * [simplify]: Extracting #0: cost 1 inf + 0 452.412 * * [simplify]: Extracting #1: cost 3 inf + 0 452.412 * * [simplify]: Extracting #2: cost 6 inf + 0 452.412 * * [simplify]: Extracting #3: cost 62 inf + 0 452.412 * * [simplify]: Extracting #4: cost 151 inf + 0 452.413 * * [simplify]: Extracting #5: cost 220 inf + 44 452.414 * * [simplify]: Extracting #6: cost 259 inf + 3836 452.416 * * [simplify]: Extracting #7: cost 208 inf + 13717 452.421 * * [simplify]: Extracting #8: cost 158 inf + 24748 452.428 * * [simplify]: Extracting #9: cost 105 inf + 46978 452.439 * * [simplify]: Extracting #10: cost 52 inf + 70433 452.457 * * [simplify]: Extracting #11: cost 14 inf + 106583 452.483 * * [simplify]: Extracting #12: cost 0 inf + 123973 452.507 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 452.508 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 452.508 * * * * [progress]: [ 1285 / 5906 ] simplifiying candidate # 452.508 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 452.509 * * [simplify]: iters left: 6 (47 enodes) 452.521 * * [simplify]: iters left: 5 (228 enodes) 452.571 * * [simplify]: Extracting #0: cost 1 inf + 0 452.571 * * [simplify]: Extracting #1: cost 3 inf + 0 452.571 * * [simplify]: Extracting #2: cost 6 inf + 0 452.571 * * [simplify]: Extracting #3: cost 54 inf + 0 452.572 * * [simplify]: Extracting #4: cost 119 inf + 0 452.572 * * [simplify]: Extracting #5: cost 168 inf + 44 452.573 * * [simplify]: Extracting #6: cost 220 inf + 2045 452.575 * * [simplify]: Extracting #7: cost 175 inf + 9316 452.579 * * [simplify]: Extracting #8: cost 108 inf + 31037 452.589 * * [simplify]: Extracting #9: cost 46 inf + 58585 452.603 * * [simplify]: Extracting #10: cost 12 inf + 86878 452.621 * * [simplify]: Extracting #11: cost 1 inf + 97647 452.642 * * [simplify]: Extracting #12: cost 0 inf + 99512 452.660 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 452.660 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 452.661 * * * * [progress]: [ 1286 / 5906 ] simplifiying candidate # 452.661 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 452.661 * * [simplify]: iters left: 6 (52 enodes) 452.674 * * [simplify]: iters left: 5 (256 enodes) 452.731 * * [simplify]: Extracting #0: cost 1 inf + 0 452.731 * * [simplify]: Extracting #1: cost 3 inf + 0 452.731 * * [simplify]: Extracting #2: cost 10 inf + 0 452.732 * * [simplify]: Extracting #3: cost 74 inf + 0 452.732 * * [simplify]: Extracting #4: cost 137 inf + 1 452.732 * * [simplify]: Extracting #5: cost 190 inf + 207 452.733 * * [simplify]: Extracting #6: cost 241 inf + 2617 452.735 * * [simplify]: Extracting #7: cost 193 inf + 12443 452.741 * * [simplify]: Extracting #8: cost 118 inf + 34605 452.750 * * [simplify]: Extracting #9: cost 54 inf + 64356 452.768 * * [simplify]: Extracting #10: cost 7 inf + 107508 452.790 * * [simplify]: Extracting #11: cost 1 inf + 114578 452.816 * * [simplify]: Extracting #12: cost 0 inf + 116643 452.838 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 452.838 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 452.839 * * * * [progress]: [ 1287 / 5906 ] simplifiying candidate # 452.839 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 452.839 * * [simplify]: iters left: 6 (47 enodes) 452.851 * * [simplify]: iters left: 5 (228 enodes) 452.902 * * [simplify]: Extracting #0: cost 1 inf + 0 452.902 * * [simplify]: Extracting #1: cost 3 inf + 0 452.902 * * [simplify]: Extracting #2: cost 10 inf + 0 452.902 * * [simplify]: Extracting #3: cost 66 inf + 0 452.902 * * [simplify]: Extracting #4: cost 115 inf + 208 452.903 * * [simplify]: Extracting #5: cost 147 inf + 1958 452.904 * * [simplify]: Extracting #6: cost 211 inf + 3017 452.905 * * [simplify]: Extracting #7: cost 184 inf + 7535 452.910 * * [simplify]: Extracting #8: cost 109 inf + 30701 452.919 * * [simplify]: Extracting #9: cost 55 inf + 53629 452.932 * * [simplify]: Extracting #10: cost 12 inf + 82635 452.950 * * [simplify]: Extracting #11: cost 3 inf + 92087 452.970 * * [simplify]: Extracting #12: cost 1 inf + 95777 452.989 * * [simplify]: Extracting #13: cost 0 inf + 97642 453.007 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 453.007 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 453.008 * * * * [progress]: [ 1288 / 5906 ] simplifiying candidate # 453.008 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 453.008 * * [simplify]: iters left: 6 (52 enodes) 453.021 * * [simplify]: iters left: 5 (256 enodes) 453.079 * * [simplify]: Extracting #0: cost 1 inf + 0 453.079 * * [simplify]: Extracting #1: cost 3 inf + 0 453.079 * * [simplify]: Extracting #2: cost 10 inf + 0 453.079 * * [simplify]: Extracting #3: cost 74 inf + 0 453.079 * * [simplify]: Extracting #4: cost 137 inf + 1 453.080 * * [simplify]: Extracting #5: cost 190 inf + 207 453.081 * * [simplify]: Extracting #6: cost 245 inf + 1850 453.083 * * [simplify]: Extracting #7: cost 197 inf + 11273 453.088 * * [simplify]: Extracting #8: cost 120 inf + 34336 453.098 * * [simplify]: Extracting #9: cost 54 inf + 65236 453.118 * * [simplify]: Extracting #10: cost 7 inf + 108468 453.142 * * [simplify]: Extracting #11: cost 1 inf + 115538 453.164 * * [simplify]: Extracting #12: cost 0 inf + 117603 453.186 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 453.186 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 453.187 * * * * [progress]: [ 1289 / 5906 ] simplifiying candidate # 453.187 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 453.187 * * [simplify]: iters left: 6 (47 enodes) 453.199 * * [simplify]: iters left: 5 (228 enodes) 453.248 * * [simplify]: Extracting #0: cost 1 inf + 0 453.248 * * [simplify]: Extracting #1: cost 3 inf + 0 453.248 * * [simplify]: Extracting #2: cost 10 inf + 0 453.248 * * [simplify]: Extracting #3: cost 65 inf + 0 453.249 * * [simplify]: Extracting #4: cost 116 inf + 86 453.249 * * [simplify]: Extracting #5: cost 152 inf + 1349 453.250 * * [simplify]: Extracting #6: cost 212 inf + 2855 453.252 * * [simplify]: Extracting #7: cost 182 inf + 7818 453.256 * * [simplify]: Extracting #8: cost 108 inf + 30942 453.265 * * [simplify]: Extracting #9: cost 54 inf + 54713 453.279 * * [simplify]: Extracting #10: cost 11 inf + 84940 453.298 * * [simplify]: Extracting #11: cost 1 inf + 96337 453.319 * * [simplify]: Extracting #12: cost 0 inf + 98122 453.338 * * [simplify]: Extracting #13: cost 0 inf + 98042 453.356 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 453.356 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 453.357 * * * * [progress]: [ 1290 / 5906 ] simplifiying candidate # 453.357 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 453.357 * * [simplify]: iters left: 6 (52 enodes) 453.371 * * [simplify]: iters left: 5 (253 enodes) 453.431 * * [simplify]: Extracting #0: cost 1 inf + 0 453.431 * * [simplify]: Extracting #1: cost 3 inf + 0 453.431 * * [simplify]: Extracting #2: cost 6 inf + 0 453.431 * * [simplify]: Extracting #3: cost 56 inf + 0 453.431 * * [simplify]: Extracting #4: cost 130 inf + 0 453.432 * * [simplify]: Extracting #5: cost 216 inf + 0 453.432 * * [simplify]: Extracting #6: cost 303 inf + 934 453.435 * * [simplify]: Extracting #7: cost 237 inf + 13243 453.440 * * [simplify]: Extracting #8: cost 152 inf + 36072 453.450 * * [simplify]: Extracting #9: cost 96 inf + 56970 453.463 * * [simplify]: Extracting #10: cost 51 inf + 75135 453.484 * * [simplify]: Extracting #11: cost 10 inf + 115398 453.509 * * [simplify]: Extracting #12: cost 0 inf + 128968 453.534 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 453.534 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 453.535 * * * * [progress]: [ 1291 / 5906 ] simplifiying candidate # 453.535 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 453.536 * * [simplify]: iters left: 6 (53 enodes) 453.549 * * [simplify]: iters left: 5 (262 enodes) 453.607 * * [simplify]: Extracting #0: cost 1 inf + 0 453.607 * * [simplify]: Extracting #1: cost 3 inf + 0 453.607 * * [simplify]: Extracting #2: cost 6 inf + 0 453.608 * * [simplify]: Extracting #3: cost 60 inf + 0 453.608 * * [simplify]: Extracting #4: cost 153 inf + 0 453.608 * * [simplify]: Extracting #5: cost 230 inf + 44 453.610 * * [simplify]: Extracting #6: cost 281 inf + 4442 453.612 * * [simplify]: Extracting #7: cost 253 inf + 9985 453.617 * * [simplify]: Extracting #8: cost 160 inf + 31153 453.626 * * [simplify]: Extracting #9: cost 74 inf + 61530 453.649 * * [simplify]: Extracting #10: cost 12 inf + 120030 453.674 * * [simplify]: Extracting #11: cost 0 inf + 131745 453.700 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 453.700 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 453.701 * * * * [progress]: [ 1292 / 5906 ] simplifiying candidate # 453.701 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 453.701 * * [simplify]: iters left: 6 (53 enodes) 453.715 * * [simplify]: iters left: 5 (262 enodes) 453.775 * * [simplify]: Extracting #0: cost 1 inf + 0 453.775 * * [simplify]: Extracting #1: cost 3 inf + 0 453.775 * * [simplify]: Extracting #2: cost 6 inf + 0 453.776 * * [simplify]: Extracting #3: cost 62 inf + 0 453.776 * * [simplify]: Extracting #4: cost 151 inf + 0 453.776 * * [simplify]: Extracting #5: cost 226 inf + 44 453.778 * * [simplify]: Extracting #6: cost 278 inf + 4640 453.781 * * [simplify]: Extracting #7: cost 218 inf + 18414 453.787 * * [simplify]: Extracting #8: cost 157 inf + 38708 453.799 * * [simplify]: Extracting #9: cost 84 inf + 66484 453.815 * * [simplify]: Extracting #10: cost 37 inf + 86932 453.837 * * [simplify]: Extracting #11: cost 2 inf + 126207 453.862 * * [simplify]: Extracting #12: cost 0 inf + 129577 453.886 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 453.887 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 453.887 * * * * [progress]: [ 1293 / 5906 ] simplifiying candidate # 453.887 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 453.888 * * [simplify]: iters left: 6 (47 enodes) 453.901 * * [simplify]: iters left: 5 (226 enodes) 453.948 * * [simplify]: Extracting #0: cost 1 inf + 0 453.948 * * [simplify]: Extracting #1: cost 3 inf + 0 453.948 * * [simplify]: Extracting #2: cost 6 inf + 0 453.948 * * [simplify]: Extracting #3: cost 54 inf + 0 453.948 * * [simplify]: Extracting #4: cost 119 inf + 0 453.949 * * [simplify]: Extracting #5: cost 174 inf + 44 453.949 * * [simplify]: Extracting #6: cost 247 inf + 1232 453.951 * * [simplify]: Extracting #7: cost 230 inf + 3876 453.954 * * [simplify]: Extracting #8: cost 155 inf + 19179 453.960 * * [simplify]: Extracting #9: cost 85 inf + 41611 453.974 * * [simplify]: Extracting #10: cost 32 inf + 73448 453.993 * * [simplify]: Extracting #11: cost 3 inf + 101641 454.014 * * [simplify]: Extracting #12: cost 1 inf + 105491 454.036 * * [simplify]: Extracting #13: cost 0 inf + 107436 454.059 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 454.059 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 454.059 * * * * [progress]: [ 1294 / 5906 ] simplifiying candidate # 454.060 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 454.060 * * [simplify]: iters left: 6 (52 enodes) 454.074 * * [simplify]: iters left: 5 (254 enodes) 454.129 * * [simplify]: Extracting #0: cost 1 inf + 0 454.129 * * [simplify]: Extracting #1: cost 3 inf + 0 454.129 * * [simplify]: Extracting #2: cost 10 inf + 0 454.129 * * [simplify]: Extracting #3: cost 74 inf + 0 454.130 * * [simplify]: Extracting #4: cost 137 inf + 1 454.130 * * [simplify]: Extracting #5: cost 196 inf + 207 454.131 * * [simplify]: Extracting #6: cost 264 inf + 3172 454.133 * * [simplify]: Extracting #7: cost 210 inf + 12520 454.138 * * [simplify]: Extracting #8: cost 143 inf + 32427 454.149 * * [simplify]: Extracting #9: cost 94 inf + 52870 454.160 * * [simplify]: Extracting #10: cost 53 inf + 69922 454.178 * * [simplify]: Extracting #11: cost 9 inf + 110342 454.201 * * [simplify]: Extracting #12: cost 1 inf + 120542 454.225 * * [simplify]: Extracting #13: cost 0 inf + 122607 454.250 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 454.250 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 454.251 * * * * [progress]: [ 1295 / 5906 ] simplifiying candidate # 454.251 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 454.251 * * [simplify]: iters left: 6 (47 enodes) 454.263 * * [simplify]: iters left: 5 (226 enodes) 454.310 * * [simplify]: Extracting #0: cost 1 inf + 0 454.310 * * [simplify]: Extracting #1: cost 3 inf + 0 454.310 * * [simplify]: Extracting #2: cost 10 inf + 0 454.310 * * [simplify]: Extracting #3: cost 66 inf + 0 454.310 * * [simplify]: Extracting #4: cost 117 inf + 44 454.311 * * [simplify]: Extracting #5: cost 160 inf + 1064 454.312 * * [simplify]: Extracting #6: cost 234 inf + 2972 454.313 * * [simplify]: Extracting #7: cost 228 inf + 4116 454.319 * * [simplify]: Extracting #8: cost 135 inf + 27798 454.329 * * [simplify]: Extracting #9: cost 63 inf + 57379 454.343 * * [simplify]: Extracting #10: cost 22 inf + 77856 454.361 * * [simplify]: Extracting #11: cost 3 inf + 97491 454.381 * * [simplify]: Extracting #12: cost 0 inf + 102926 454.401 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 454.401 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 454.401 * * * * [progress]: [ 1296 / 5906 ] simplifiying candidate # 454.402 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 454.402 * * [simplify]: iters left: 6 (52 enodes) 454.416 * * [simplify]: iters left: 5 (254 enodes) 454.471 * * [simplify]: Extracting #0: cost 1 inf + 0 454.471 * * [simplify]: Extracting #1: cost 3 inf + 0 454.471 * * [simplify]: Extracting #2: cost 10 inf + 0 454.471 * * [simplify]: Extracting #3: cost 74 inf + 0 454.472 * * [simplify]: Extracting #4: cost 137 inf + 1 454.472 * * [simplify]: Extracting #5: cost 196 inf + 207 454.473 * * [simplify]: Extracting #6: cost 271 inf + 1839 454.475 * * [simplify]: Extracting #7: cost 216 inf + 10948 454.482 * * [simplify]: Extracting #8: cost 148 inf + 30814 454.490 * * [simplify]: Extracting #9: cost 93 inf + 54095 454.502 * * [simplify]: Extracting #10: cost 53 inf + 70882 454.520 * * [simplify]: Extracting #11: cost 9 inf + 111302 454.543 * * [simplify]: Extracting #12: cost 1 inf + 121502 454.567 * * [simplify]: Extracting #13: cost 0 inf + 123567 454.592 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 454.592 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 454.593 * * * * [progress]: [ 1297 / 5906 ] simplifiying candidate # 454.593 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 454.593 * * [simplify]: iters left: 6 (47 enodes) 454.605 * * [simplify]: iters left: 5 (226 enodes) 454.654 * * [simplify]: Extracting #0: cost 1 inf + 0 454.655 * * [simplify]: Extracting #1: cost 3 inf + 0 454.655 * * [simplify]: Extracting #2: cost 10 inf + 0 454.655 * * [simplify]: Extracting #3: cost 65 inf + 0 454.655 * * [simplify]: Extracting #4: cost 116 inf + 86 454.657 * * [simplify]: Extracting #5: cost 153 inf + 1998 454.658 * * [simplify]: Extracting #6: cost 234 inf + 2932 454.660 * * [simplify]: Extracting #7: cost 230 inf + 3913 454.663 * * [simplify]: Extracting #8: cost 140 inf + 24058 454.673 * * [simplify]: Extracting #9: cost 63 inf + 58118 454.685 * * [simplify]: Extracting #10: cost 22 inf + 78416 454.703 * * [simplify]: Extracting #11: cost 3 inf + 97891 454.723 * * [simplify]: Extracting #12: cost 0 inf + 103326 454.744 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 454.744 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 454.745 * * * * [progress]: [ 1298 / 5906 ] simplifiying candidate # 454.745 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 454.745 * * [simplify]: iters left: 6 (52 enodes) 454.759 * * [simplify]: iters left: 5 (249 enodes) 454.811 * * [simplify]: Extracting #0: cost 1 inf + 0 454.812 * * [simplify]: Extracting #1: cost 3 inf + 0 454.812 * * [simplify]: Extracting #2: cost 6 inf + 0 454.812 * * [simplify]: Extracting #3: cost 53 inf + 0 454.812 * * [simplify]: Extracting #4: cost 118 inf + 0 454.812 * * [simplify]: Extracting #5: cost 187 inf + 0 454.813 * * [simplify]: Extracting #6: cost 267 inf + 510 454.814 * * [simplify]: Extracting #7: cost 220 inf + 8011 454.821 * * [simplify]: Extracting #8: cost 133 inf + 32168 454.828 * * [simplify]: Extracting #9: cost 84 inf + 46950 454.838 * * [simplify]: Extracting #10: cost 50 inf + 60188 454.854 * * [simplify]: Extracting #11: cost 8 inf + 100318 454.874 * * [simplify]: Extracting #12: cost 1 inf + 108293 454.895 * * [simplify]: Extracting #13: cost 0 inf + 110118 454.917 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 454.917 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 454.917 * * * * [progress]: [ 1299 / 5906 ] simplifiying candidate # 454.918 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 454.918 * * [simplify]: iters left: 6 (53 enodes) 454.931 * * [simplify]: iters left: 5 (258 enodes) 454.990 * * [simplify]: Extracting #0: cost 1 inf + 0 454.990 * * [simplify]: Extracting #1: cost 3 inf + 0 454.990 * * [simplify]: Extracting #2: cost 6 inf + 0 454.990 * * [simplify]: Extracting #3: cost 55 inf + 0 454.991 * * [simplify]: Extracting #4: cost 139 inf + 0 454.991 * * [simplify]: Extracting #5: cost 199 inf + 44 454.992 * * [simplify]: Extracting #6: cost 252 inf + 2903 454.994 * * [simplify]: Extracting #7: cost 210 inf + 11033 454.998 * * [simplify]: Extracting #8: cost 153 inf + 20741 455.004 * * [simplify]: Extracting #9: cost 102 inf + 38890 455.014 * * [simplify]: Extracting #10: cost 49 inf + 63241 455.026 * * [simplify]: Extracting #11: cost 33 inf + 73641 455.042 * * [simplify]: Extracting #12: cost 10 inf + 97976 455.063 * * [simplify]: Extracting #13: cost 0 inf + 111186 455.085 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 455.085 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 455.086 * * * * [progress]: [ 1300 / 5906 ] simplifiying candidate # 455.086 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 455.086 * * [simplify]: iters left: 6 (53 enodes) 455.100 * * [simplify]: iters left: 5 (258 enodes) 455.157 * * [simplify]: Extracting #0: cost 1 inf + 0 455.157 * * [simplify]: Extracting #1: cost 3 inf + 0 455.157 * * [simplify]: Extracting #2: cost 6 inf + 0 455.157 * * [simplify]: Extracting #3: cost 57 inf + 0 455.157 * * [simplify]: Extracting #4: cost 137 inf + 0 455.157 * * [simplify]: Extracting #5: cost 195 inf + 44 455.158 * * [simplify]: Extracting #6: cost 246 inf + 3665 455.161 * * [simplify]: Extracting #7: cost 179 inf + 14486 455.166 * * [simplify]: Extracting #8: cost 128 inf + 29777 455.173 * * [simplify]: Extracting #9: cost 85 inf + 47285 455.183 * * [simplify]: Extracting #10: cost 48 inf + 62098 455.200 * * [simplify]: Extracting #11: cost 9 inf + 97433 455.222 * * [simplify]: Extracting #12: cost 0 inf + 109058 455.246 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 455.246 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 455.247 * * * * [progress]: [ 1301 / 5906 ] simplifiying candidate # 455.247 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 455.247 * * [simplify]: iters left: 6 (47 enodes) 455.259 * * [simplify]: iters left: 5 (221 enodes) 455.305 * * [simplify]: Extracting #0: cost 1 inf + 0 455.305 * * [simplify]: Extracting #1: cost 3 inf + 0 455.305 * * [simplify]: Extracting #2: cost 6 inf + 0 455.305 * * [simplify]: Extracting #3: cost 50 inf + 0 455.306 * * [simplify]: Extracting #4: cost 107 inf + 0 455.306 * * [simplify]: Extracting #5: cost 142 inf + 370 455.307 * * [simplify]: Extracting #6: cost 202 inf + 2246 455.308 * * [simplify]: Extracting #7: cost 188 inf + 4845 455.313 * * [simplify]: Extracting #8: cost 126 inf + 17325 455.319 * * [simplify]: Extracting #9: cost 64 inf + 39860 455.332 * * [simplify]: Extracting #10: cost 12 inf + 75646 455.349 * * [simplify]: Extracting #11: cost 0 inf + 88163 455.366 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 455.366 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 455.367 * * * * [progress]: [ 1302 / 5906 ] simplifiying candidate # 455.367 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 455.368 * * [simplify]: iters left: 6 (52 enodes) 455.381 * * [simplify]: iters left: 5 (249 enodes) 455.433 * * [simplify]: Extracting #0: cost 1 inf + 0 455.433 * * [simplify]: Extracting #1: cost 3 inf + 0 455.433 * * [simplify]: Extracting #2: cost 10 inf + 0 455.433 * * [simplify]: Extracting #3: cost 66 inf + 0 455.434 * * [simplify]: Extracting #4: cost 126 inf + 1 455.434 * * [simplify]: Extracting #5: cost 168 inf + 207 455.435 * * [simplify]: Extracting #6: cost 235 inf + 1716 455.436 * * [simplify]: Extracting #7: cost 210 inf + 6097 455.439 * * [simplify]: Extracting #8: cost 159 inf + 14961 455.443 * * [simplify]: Extracting #9: cost 102 inf + 32683 455.452 * * [simplify]: Extracting #10: cost 57 inf + 53079 455.463 * * [simplify]: Extracting #11: cost 33 inf + 68317 455.482 * * [simplify]: Extracting #12: cost 3 inf + 101227 455.503 * * [simplify]: Extracting #13: cost 0 inf + 105022 455.524 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 455.524 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 455.524 * * * * [progress]: [ 1303 / 5906 ] simplifiying candidate # 455.525 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 455.525 * * [simplify]: iters left: 6 (47 enodes) 455.537 * * [simplify]: iters left: 5 (222 enodes) 455.583 * * [simplify]: Extracting #0: cost 1 inf + 0 455.583 * * [simplify]: Extracting #1: cost 3 inf + 0 455.583 * * [simplify]: Extracting #2: cost 10 inf + 0 455.583 * * [simplify]: Extracting #3: cost 57 inf + 0 455.584 * * [simplify]: Extracting #4: cost 102 inf + 370 455.585 * * [simplify]: Extracting #5: cost 126 inf + 1877 455.586 * * [simplify]: Extracting #6: cost 197 inf + 2932 455.587 * * [simplify]: Extracting #7: cost 186 inf + 5006 455.589 * * [simplify]: Extracting #8: cost 127 inf + 16633 455.597 * * [simplify]: Extracting #9: cost 52 inf + 47829 455.609 * * [simplify]: Extracting #10: cost 18 inf + 67955 455.624 * * [simplify]: Extracting #11: cost 3 inf + 79544 455.640 * * [simplify]: Extracting #12: cost 1 inf + 82514 455.659 * * [simplify]: Extracting #13: cost 0 inf + 84019 455.676 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 455.676 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 455.676 * * * * [progress]: [ 1304 / 5906 ] simplifiying candidate # 455.677 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 455.677 * * [simplify]: iters left: 6 (52 enodes) 455.691 * * [simplify]: iters left: 5 (249 enodes) 455.745 * * [simplify]: Extracting #0: cost 1 inf + 0 455.745 * * [simplify]: Extracting #1: cost 3 inf + 0 455.745 * * [simplify]: Extracting #2: cost 10 inf + 0 455.746 * * [simplify]: Extracting #3: cost 66 inf + 0 455.746 * * [simplify]: Extracting #4: cost 126 inf + 1 455.746 * * [simplify]: Extracting #5: cost 168 inf + 207 455.747 * * [simplify]: Extracting #6: cost 231 inf + 2203 455.748 * * [simplify]: Extracting #7: cost 211 inf + 5854 455.751 * * [simplify]: Extracting #8: cost 159 inf + 14831 455.756 * * [simplify]: Extracting #9: cost 102 inf + 33083 455.764 * * [simplify]: Extracting #10: cost 57 inf + 53719 455.775 * * [simplify]: Extracting #11: cost 33 inf + 69117 455.793 * * [simplify]: Extracting #12: cost 3 inf + 102027 455.816 * * [simplify]: Extracting #13: cost 0 inf + 105822 455.838 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 455.838 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 455.839 * * * * [progress]: [ 1305 / 5906 ] simplifiying candidate # 455.839 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 455.840 * * [simplify]: iters left: 6 (47 enodes) 455.856 * * [simplify]: iters left: 5 (222 enodes) 455.899 * * [simplify]: Extracting #0: cost 1 inf + 0 455.899 * * [simplify]: Extracting #1: cost 3 inf + 0 455.899 * * [simplify]: Extracting #2: cost 10 inf + 0 455.900 * * [simplify]: Extracting #3: cost 56 inf + 0 455.902 * * [simplify]: Extracting #4: cost 104 inf + 86 455.902 * * [simplify]: Extracting #5: cost 123 inf + 2242 455.903 * * [simplify]: Extracting #6: cost 197 inf + 2932 455.904 * * [simplify]: Extracting #7: cost 186 inf + 5006 455.907 * * [simplify]: Extracting #8: cost 127 inf + 16713 455.915 * * [simplify]: Extracting #9: cost 50 inf + 49325 455.926 * * [simplify]: Extracting #10: cost 18 inf + 68275 455.941 * * [simplify]: Extracting #11: cost 3 inf + 79864 455.958 * * [simplify]: Extracting #12: cost 1 inf + 82834 455.974 * * [simplify]: Extracting #13: cost 0 inf + 84339 455.990 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 455.990 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 455.991 * * * * [progress]: [ 1306 / 5906 ] simplifiying candidate # 455.991 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 455.991 * * [simplify]: iters left: 6 (48 enodes) 456.005 * * [simplify]: iters left: 5 (226 enodes) 456.053 * * [simplify]: Extracting #0: cost 1 inf + 0 456.053 * * [simplify]: Extracting #1: cost 3 inf + 0 456.053 * * [simplify]: Extracting #2: cost 6 inf + 0 456.053 * * [simplify]: Extracting #3: cost 48 inf + 0 456.053 * * [simplify]: Extracting #4: cost 112 inf + 0 456.053 * * [simplify]: Extracting #5: cost 185 inf + 0 456.054 * * [simplify]: Extracting #6: cost 250 inf + 86 456.055 * * [simplify]: Extracting #7: cost 207 inf + 5133 456.058 * * [simplify]: Extracting #8: cost 129 inf + 22297 456.067 * * [simplify]: Extracting #9: cost 75 inf + 43130 456.076 * * [simplify]: Extracting #10: cost 44 inf + 56794 456.092 * * [simplify]: Extracting #11: cost 4 inf + 98834 456.113 * * [simplify]: Extracting #12: cost 0 inf + 103014 456.133 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 456.133 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 456.134 * * * * [progress]: [ 1307 / 5906 ] simplifiying candidate # 456.134 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 456.134 * * [simplify]: iters left: 6 (49 enodes) 456.147 * * [simplify]: iters left: 5 (235 enodes) 456.200 * * [simplify]: Extracting #0: cost 1 inf + 0 456.200 * * [simplify]: Extracting #1: cost 3 inf + 0 456.200 * * [simplify]: Extracting #2: cost 6 inf + 0 456.200 * * [simplify]: Extracting #3: cost 52 inf + 0 456.200 * * [simplify]: Extracting #4: cost 135 inf + 0 456.200 * * [simplify]: Extracting #5: cost 197 inf + 127 456.201 * * [simplify]: Extracting #6: cost 225 inf + 4279 456.204 * * [simplify]: Extracting #7: cost 185 inf + 11407 456.208 * * [simplify]: Extracting #8: cost 130 inf + 25745 456.215 * * [simplify]: Extracting #9: cost 80 inf + 44722 456.224 * * [simplify]: Extracting #10: cost 47 inf + 58296 456.237 * * [simplify]: Extracting #11: cost 30 inf + 71241 456.256 * * [simplify]: Extracting #12: cost 2 inf + 102501 456.277 * * [simplify]: Extracting #13: cost 0 inf + 105511 456.298 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 456.298 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 456.299 * * * * [progress]: [ 1308 / 5906 ] simplifiying candidate # 456.299 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 456.299 * * [simplify]: iters left: 6 (49 enodes) 456.311 * * [simplify]: iters left: 5 (235 enodes) 456.363 * * [simplify]: Extracting #0: cost 1 inf + 0 456.363 * * [simplify]: Extracting #1: cost 3 inf + 0 456.363 * * [simplify]: Extracting #2: cost 6 inf + 0 456.363 * * [simplify]: Extracting #3: cost 54 inf + 0 456.363 * * [simplify]: Extracting #4: cost 133 inf + 0 456.364 * * [simplify]: Extracting #5: cost 193 inf + 166 456.365 * * [simplify]: Extracting #6: cost 217 inf + 5445 456.367 * * [simplify]: Extracting #7: cost 180 inf + 12170 456.370 * * [simplify]: Extracting #8: cost 136 inf + 20363 456.376 * * [simplify]: Extracting #9: cost 90 inf + 36695 456.385 * * [simplify]: Extracting #10: cost 39 inf + 63168 456.405 * * [simplify]: Extracting #11: cost 3 inf + 98348 456.426 * * [simplify]: Extracting #12: cost 0 inf + 102103 456.446 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 456.446 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 456.447 * * * * [progress]: [ 1309 / 5906 ] simplifiying candidate # 456.447 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 456.448 * * [simplify]: iters left: 6 (43 enodes) 456.459 * * [simplify]: iters left: 5 (198 enodes) 456.503 * * [simplify]: Extracting #0: cost 1 inf + 0 456.503 * * [simplify]: Extracting #1: cost 3 inf + 0 456.504 * * [simplify]: Extracting #2: cost 6 inf + 0 456.504 * * [simplify]: Extracting #3: cost 46 inf + 0 456.505 * * [simplify]: Extracting #4: cost 101 inf + 0 456.505 * * [simplify]: Extracting #5: cost 138 inf + 291 456.506 * * [simplify]: Extracting #6: cost 187 inf + 1677 456.507 * * [simplify]: Extracting #7: cost 172 inf + 4439 456.510 * * [simplify]: Extracting #8: cost 108 inf + 17686 456.516 * * [simplify]: Extracting #9: cost 62 inf + 37036 456.529 * * [simplify]: Extracting #10: cost 10 inf + 71970 456.545 * * [simplify]: Extracting #11: cost 0 inf + 81682 456.561 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 456.561 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 456.562 * * * * [progress]: [ 1310 / 5906 ] simplifiying candidate # 456.562 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 456.562 * * [simplify]: iters left: 6 (48 enodes) 456.576 * * [simplify]: iters left: 5 (226 enodes) 456.623 * * [simplify]: Extracting #0: cost 1 inf + 0 456.623 * * [simplify]: Extracting #1: cost 3 inf + 0 456.624 * * [simplify]: Extracting #2: cost 10 inf + 0 456.624 * * [simplify]: Extracting #3: cost 62 inf + 0 456.624 * * [simplify]: Extracting #4: cost 115 inf + 42 456.624 * * [simplify]: Extracting #5: cost 162 inf + 207 456.625 * * [simplify]: Extracting #6: cost 213 inf + 1637 456.626 * * [simplify]: Extracting #7: cost 191 inf + 5819 456.628 * * [simplify]: Extracting #8: cost 149 inf + 12334 456.632 * * [simplify]: Extracting #9: cost 96 inf + 26302 456.639 * * [simplify]: Extracting #10: cost 51 inf + 47961 456.657 * * [simplify]: Extracting #11: cost 3 inf + 91124 456.677 * * [simplify]: Extracting #12: cost 0 inf + 95298 456.697 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))))) 456.697 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 456.698 * * * * [progress]: [ 1311 / 5906 ] simplifiying candidate # 456.698 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 456.698 * * [simplify]: iters left: 6 (43 enodes) 456.709 * * [simplify]: iters left: 5 (198 enodes) 456.750 * * [simplify]: iters left: 4 (497 enodes) 456.913 * * [simplify]: Extracting #0: cost 1 inf + 0 456.913 * * [simplify]: Extracting #1: cost 3 inf + 0 456.913 * * [simplify]: Extracting #2: cost 12 inf + 0 456.913 * * [simplify]: Extracting #3: cost 110 inf + 0 456.914 * * [simplify]: Extracting #4: cost 243 inf + 44 456.915 * * [simplify]: Extracting #5: cost 354 inf + 2405 456.917 * * [simplify]: Extracting #6: cost 465 inf + 6552 456.921 * * [simplify]: Extracting #7: cost 506 inf + 14702 456.938 * * [simplify]: Extracting #8: cost 317 inf + 81041 456.978 * * [simplify]: Extracting #9: cost 74 inf + 210071 457.033 * * [simplify]: Extracting #10: cost 4 inf + 250594 457.086 * * [simplify]: Extracting #11: cost 0 inf + 249268 457.141 * * [simplify]: Extracting #12: cost 0 inf + 249188 457.194 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) 457.194 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 457.195 * * * * [progress]: [ 1312 / 5906 ] simplifiying candidate # 457.195 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 457.195 * * [simplify]: iters left: 6 (48 enodes) 457.208 * * [simplify]: iters left: 5 (226 enodes) 457.256 * * [simplify]: Extracting #0: cost 1 inf + 0 457.256 * * [simplify]: Extracting #1: cost 3 inf + 0 457.256 * * [simplify]: Extracting #2: cost 10 inf + 0 457.256 * * [simplify]: Extracting #3: cost 62 inf + 0 457.256 * * [simplify]: Extracting #4: cost 115 inf + 42 457.257 * * [simplify]: Extracting #5: cost 160 inf + 290 457.258 * * [simplify]: Extracting #6: cost 205 inf + 3089 457.259 * * [simplify]: Extracting #7: cost 189 inf + 6263 457.261 * * [simplify]: Extracting #8: cost 147 inf + 13009 457.264 * * [simplify]: Extracting #9: cost 98 inf + 25895 457.272 * * [simplify]: Extracting #10: cost 51 inf + 48223 457.290 * * [simplify]: Extracting #11: cost 3 inf + 91844 457.310 * * [simplify]: Extracting #12: cost 0 inf + 96098 457.330 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))))) 457.330 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 457.330 * * * * [progress]: [ 1313 / 5906 ] simplifiying candidate # 457.331 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 457.331 * * [simplify]: iters left: 6 (43 enodes) 457.342 * * [simplify]: iters left: 5 (198 enodes) 457.386 * * [simplify]: iters left: 4 (497 enodes) 457.549 * * [simplify]: Extracting #0: cost 1 inf + 0 457.549 * * [simplify]: Extracting #1: cost 3 inf + 0 457.549 * * [simplify]: Extracting #2: cost 12 inf + 0 457.549 * * [simplify]: Extracting #3: cost 107 inf + 0 457.550 * * [simplify]: Extracting #4: cost 251 inf + 44 457.551 * * [simplify]: Extracting #5: cost 360 inf + 2363 457.554 * * [simplify]: Extracting #6: cost 470 inf + 6512 457.558 * * [simplify]: Extracting #7: cost 512 inf + 14343 457.576 * * [simplify]: Extracting #8: cost 317 inf + 85797 457.618 * * [simplify]: Extracting #9: cost 54 inf + 222242 457.673 * * [simplify]: Extracting #10: cost 1 inf + 252901 457.729 * * [simplify]: Extracting #11: cost 0 inf + 251606 457.784 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 457.784 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 457.785 * * * * [progress]: [ 1314 / 5906 ] simplifiying candidate # 457.785 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 457.786 * * [simplify]: iters left: 6 (52 enodes) 457.799 * * [simplify]: iters left: 5 (254 enodes) 457.855 * * [simplify]: Extracting #0: cost 1 inf + 0 457.855 * * [simplify]: Extracting #1: cost 3 inf + 0 457.856 * * [simplify]: Extracting #2: cost 6 inf + 0 457.856 * * [simplify]: Extracting #3: cost 56 inf + 0 457.856 * * [simplify]: Extracting #4: cost 130 inf + 0 457.856 * * [simplify]: Extracting #5: cost 210 inf + 0 457.857 * * [simplify]: Extracting #6: cost 286 inf + 762 457.858 * * [simplify]: Extracting #7: cost 239 inf + 10429 457.862 * * [simplify]: Extracting #8: cost 168 inf + 22294 457.869 * * [simplify]: Extracting #9: cost 106 inf + 43053 457.880 * * [simplify]: Extracting #10: cost 50 inf + 68409 457.899 * * [simplify]: Extracting #11: cost 10 inf + 110649 457.925 * * [simplify]: Extracting #12: cost 1 inf + 121234 457.950 * * [simplify]: Extracting #13: cost 0 inf + 123299 457.974 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 457.974 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 457.975 * * * * [progress]: [ 1315 / 5906 ] simplifiying candidate # 457.975 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 457.976 * * [simplify]: iters left: 6 (53 enodes) 457.989 * * [simplify]: iters left: 5 (263 enodes) 458.051 * * [simplify]: Extracting #0: cost 1 inf + 0 458.051 * * [simplify]: Extracting #1: cost 3 inf + 0 458.051 * * [simplify]: Extracting #2: cost 6 inf + 0 458.051 * * [simplify]: Extracting #3: cost 60 inf + 0 458.051 * * [simplify]: Extracting #4: cost 153 inf + 0 458.052 * * [simplify]: Extracting #5: cost 224 inf + 44 458.053 * * [simplify]: Extracting #6: cost 266 inf + 4315 458.055 * * [simplify]: Extracting #7: cost 232 inf + 10912 458.059 * * [simplify]: Extracting #8: cost 185 inf + 18638 458.065 * * [simplify]: Extracting #9: cost 113 inf + 44546 458.079 * * [simplify]: Extracting #10: cost 53 inf + 71151 458.100 * * [simplify]: Extracting #11: cost 5 inf + 120151 458.126 * * [simplify]: Extracting #12: cost 0 inf + 127436 458.152 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 458.152 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 458.152 * * * * [progress]: [ 1316 / 5906 ] simplifiying candidate # 458.153 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 458.153 * * [simplify]: iters left: 6 (53 enodes) 458.166 * * [simplify]: iters left: 5 (263 enodes) 458.225 * * [simplify]: Extracting #0: cost 1 inf + 0 458.225 * * [simplify]: Extracting #1: cost 3 inf + 0 458.225 * * [simplify]: Extracting #2: cost 6 inf + 0 458.225 * * [simplify]: Extracting #3: cost 62 inf + 0 458.225 * * [simplify]: Extracting #4: cost 151 inf + 0 458.226 * * [simplify]: Extracting #5: cost 219 inf + 86 458.227 * * [simplify]: Extracting #6: cost 254 inf + 5972 458.230 * * [simplify]: Extracting #7: cost 217 inf + 12794 458.234 * * [simplify]: Extracting #8: cost 147 inf + 29716 458.248 * * [simplify]: Extracting #9: cost 50 inf + 71657 458.269 * * [simplify]: Extracting #10: cost 4 inf + 118408 458.294 * * [simplify]: Extracting #11: cost 0 inf + 124028 458.319 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 458.319 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 458.320 * * * * [progress]: [ 1317 / 5906 ] simplifiying candidate # 458.320 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 458.320 * * [simplify]: iters left: 6 (47 enodes) 458.334 * * [simplify]: iters left: 5 (227 enodes) 458.382 * * [simplify]: Extracting #0: cost 1 inf + 0 458.382 * * [simplify]: Extracting #1: cost 3 inf + 0 458.382 * * [simplify]: Extracting #2: cost 6 inf + 0 458.383 * * [simplify]: Extracting #3: cost 54 inf + 0 458.383 * * [simplify]: Extracting #4: cost 119 inf + 0 458.383 * * [simplify]: Extracting #5: cost 168 inf + 44 458.384 * * [simplify]: Extracting #6: cost 227 inf + 1477 458.385 * * [simplify]: Extracting #7: cost 207 inf + 4928 458.388 * * [simplify]: Extracting #8: cost 141 inf + 18644 458.396 * * [simplify]: Extracting #9: cost 72 inf + 43403 458.410 * * [simplify]: Extracting #10: cost 14 inf + 85646 458.431 * * [simplify]: Extracting #11: cost 1 inf + 98702 458.451 * * [simplify]: Extracting #12: cost 0 inf + 100607 458.471 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 458.471 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 458.472 * * * * [progress]: [ 1318 / 5906 ] simplifiying candidate # 458.472 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 458.473 * * [simplify]: iters left: 6 (52 enodes) 458.486 * * [simplify]: iters left: 5 (255 enodes) 458.542 * * [simplify]: Extracting #0: cost 1 inf + 0 458.542 * * [simplify]: Extracting #1: cost 3 inf + 0 458.542 * * [simplify]: Extracting #2: cost 10 inf + 0 458.542 * * [simplify]: Extracting #3: cost 74 inf + 0 458.542 * * [simplify]: Extracting #4: cost 137 inf + 1 458.543 * * [simplify]: Extracting #5: cost 189 inf + 248 458.544 * * [simplify]: Extracting #6: cost 250 inf + 2325 458.545 * * [simplify]: Extracting #7: cost 215 inf + 9488 458.548 * * [simplify]: Extracting #8: cost 159 inf + 19625 458.554 * * [simplify]: Extracting #9: cost 113 inf + 36445 458.565 * * [simplify]: Extracting #10: cost 40 inf + 72338 458.587 * * [simplify]: Extracting #11: cost 5 inf + 108133 458.610 * * [simplify]: Extracting #12: cost 1 inf + 114513 458.635 * * [simplify]: Extracting #13: cost 0 inf + 116578 458.658 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 458.658 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 458.658 * * * * [progress]: [ 1319 / 5906 ] simplifiying candidate # 458.658 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 458.659 * * [simplify]: iters left: 6 (47 enodes) 458.671 * * [simplify]: iters left: 5 (227 enodes) 458.719 * * [simplify]: Extracting #0: cost 1 inf + 0 458.719 * * [simplify]: Extracting #1: cost 3 inf + 0 458.719 * * [simplify]: Extracting #2: cost 10 inf + 0 458.719 * * [simplify]: Extracting #3: cost 66 inf + 0 458.719 * * [simplify]: Extracting #4: cost 117 inf + 44 458.720 * * [simplify]: Extracting #5: cost 153 inf + 1106 458.721 * * [simplify]: Extracting #6: cost 217 inf + 2730 458.722 * * [simplify]: Extracting #7: cost 204 inf + 5048 458.724 * * [simplify]: Extracting #8: cost 154 inf + 14675 458.730 * * [simplify]: Extracting #9: cost 100 inf + 37439 458.740 * * [simplify]: Extracting #10: cost 41 inf + 61018 458.755 * * [simplify]: Extracting #11: cost 8 inf + 84857 458.775 * * [simplify]: Extracting #12: cost 3 inf + 91622 458.793 * * [simplify]: Extracting #13: cost 1 inf + 95232 458.813 * * [simplify]: Extracting #14: cost 0 inf + 97057 458.832 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 458.832 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 458.833 * * * * [progress]: [ 1320 / 5906 ] simplifiying candidate # 458.833 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 458.833 * * [simplify]: iters left: 6 (52 enodes) 458.846 * * [simplify]: iters left: 5 (255 enodes) 458.902 * * [simplify]: Extracting #0: cost 1 inf + 0 458.902 * * [simplify]: Extracting #1: cost 3 inf + 0 458.902 * * [simplify]: Extracting #2: cost 10 inf + 0 458.902 * * [simplify]: Extracting #3: cost 74 inf + 0 458.903 * * [simplify]: Extracting #4: cost 137 inf + 1 458.903 * * [simplify]: Extracting #5: cost 189 inf + 248 458.904 * * [simplify]: Extracting #6: cost 253 inf + 1639 458.905 * * [simplify]: Extracting #7: cost 224 inf + 6818 458.909 * * [simplify]: Extracting #8: cost 159 inf + 19785 458.914 * * [simplify]: Extracting #9: cost 112 inf + 37110 458.928 * * [simplify]: Extracting #10: cost 40 inf + 73298 458.949 * * [simplify]: Extracting #11: cost 5 inf + 109093 458.972 * * [simplify]: Extracting #12: cost 1 inf + 115473 458.995 * * [simplify]: Extracting #13: cost 0 inf + 117538 459.018 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 459.018 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 459.019 * * * * [progress]: [ 1321 / 5906 ] simplifiying candidate # 459.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 459.019 * * [simplify]: iters left: 6 (47 enodes) 459.033 * * [simplify]: iters left: 5 (227 enodes) 459.080 * * [simplify]: Extracting #0: cost 1 inf + 0 459.080 * * [simplify]: Extracting #1: cost 3 inf + 0 459.080 * * [simplify]: Extracting #2: cost 10 inf + 0 459.080 * * [simplify]: Extracting #3: cost 65 inf + 0 459.080 * * [simplify]: Extracting #4: cost 116 inf + 86 459.081 * * [simplify]: Extracting #5: cost 149 inf + 1674 459.082 * * [simplify]: Extracting #6: cost 216 inf + 2932 459.083 * * [simplify]: Extracting #7: cost 203 inf + 5210 459.085 * * [simplify]: Extracting #8: cost 162 inf + 11855 459.090 * * [simplify]: Extracting #9: cost 108 inf + 29853 459.102 * * [simplify]: Extracting #10: cost 43 inf + 59771 459.116 * * [simplify]: Extracting #11: cost 8 inf + 85497 459.134 * * [simplify]: Extracting #12: cost 3 inf + 92262 459.153 * * [simplify]: Extracting #13: cost 1 inf + 95872 459.172 * * [simplify]: Extracting #14: cost 0 inf + 97697 459.191 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 459.191 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 459.192 * * * * [progress]: [ 1322 / 5906 ] simplifiying candidate # 459.192 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 459.192 * * [simplify]: iters left: 6 (48 enodes) 459.206 * * [simplify]: iters left: 5 (229 enodes) 459.257 * * [simplify]: Extracting #0: cost 1 inf + 0 459.257 * * [simplify]: Extracting #1: cost 3 inf + 0 459.257 * * [simplify]: Extracting #2: cost 6 inf + 0 459.257 * * [simplify]: Extracting #3: cost 54 inf + 0 459.257 * * [simplify]: Extracting #4: cost 120 inf + 0 459.257 * * [simplify]: Extracting #5: cost 193 inf + 0 459.258 * * [simplify]: Extracting #6: cost 257 inf + 298 459.259 * * [simplify]: Extracting #7: cost 207 inf + 7132 459.262 * * [simplify]: Extracting #8: cost 138 inf + 20966 459.268 * * [simplify]: Extracting #9: cost 90 inf + 38162 459.280 * * [simplify]: Extracting #10: cost 40 inf + 64229 459.298 * * [simplify]: Extracting #11: cost 4 inf + 103108 459.319 * * [simplify]: Extracting #12: cost 0 inf + 107688 459.339 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 459.339 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 459.340 * * * * [progress]: [ 1323 / 5906 ] simplifiying candidate # 459.340 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 459.341 * * [simplify]: iters left: 6 (49 enodes) 459.353 * * [simplify]: iters left: 5 (238 enodes) 459.407 * * [simplify]: Extracting #0: cost 1 inf + 0 459.407 * * [simplify]: Extracting #1: cost 3 inf + 0 459.407 * * [simplify]: Extracting #2: cost 6 inf + 0 459.408 * * [simplify]: Extracting #3: cost 58 inf + 0 459.408 * * [simplify]: Extracting #4: cost 143 inf + 0 459.408 * * [simplify]: Extracting #5: cost 203 inf + 291 459.410 * * [simplify]: Extracting #6: cost 236 inf + 3833 459.412 * * [simplify]: Extracting #7: cost 199 inf + 11276 459.416 * * [simplify]: Extracting #8: cost 143 inf + 26663 459.423 * * [simplify]: Extracting #9: cost 83 inf + 50469 459.434 * * [simplify]: Extracting #10: cost 48 inf + 62785 459.453 * * [simplify]: Extracting #11: cost 10 inf + 99415 459.476 * * [simplify]: Extracting #12: cost 0 inf + 110625 459.500 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 459.500 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 459.501 * * * * [progress]: [ 1324 / 5906 ] simplifiying candidate # 459.501 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 459.501 * * [simplify]: iters left: 6 (49 enodes) 459.514 * * [simplify]: iters left: 5 (238 enodes) 459.567 * * [simplify]: Extracting #0: cost 1 inf + 0 459.567 * * [simplify]: Extracting #1: cost 3 inf + 0 459.567 * * [simplify]: Extracting #2: cost 6 inf + 0 459.567 * * [simplify]: Extracting #3: cost 60 inf + 0 459.567 * * [simplify]: Extracting #4: cost 141 inf + 0 459.567 * * [simplify]: Extracting #5: cost 200 inf + 208 459.569 * * [simplify]: Extracting #6: cost 225 inf + 5565 459.571 * * [simplify]: Extracting #7: cost 193 inf + 12189 459.575 * * [simplify]: Extracting #8: cost 136 inf + 27170 459.582 * * [simplify]: Extracting #9: cost 85 inf + 47465 459.592 * * [simplify]: Extracting #10: cost 51 inf + 59062 459.603 * * [simplify]: Extracting #11: cost 33 inf + 71992 459.624 * * [simplify]: Extracting #12: cost 2 inf + 105127 459.645 * * [simplify]: Extracting #13: cost 0 inf + 108137 459.667 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 459.667 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 459.667 * * * * [progress]: [ 1325 / 5906 ] simplifiying candidate # 459.667 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 459.668 * * [simplify]: iters left: 6 (43 enodes) 459.679 * * [simplify]: iters left: 5 (202 enodes) 459.721 * * [simplify]: Extracting #0: cost 1 inf + 0 459.721 * * [simplify]: Extracting #1: cost 3 inf + 0 459.721 * * [simplify]: Extracting #2: cost 6 inf + 0 459.721 * * [simplify]: Extracting #3: cost 52 inf + 0 459.722 * * [simplify]: Extracting #4: cost 109 inf + 0 459.722 * * [simplify]: Extracting #5: cost 147 inf + 250 459.723 * * [simplify]: Extracting #6: cost 192 inf + 2244 459.724 * * [simplify]: Extracting #7: cost 182 inf + 4237 459.726 * * [simplify]: Extracting #8: cost 137 inf + 11496 459.730 * * [simplify]: Extracting #9: cost 96 inf + 25639 459.737 * * [simplify]: Extracting #10: cost 44 inf + 46890 459.746 * * [simplify]: Extracting #11: cost 28 inf + 57056 459.761 * * [simplify]: Extracting #12: cost 3 inf + 81001 459.779 * * [simplify]: Extracting #13: cost 1 inf + 84211 459.796 * * [simplify]: Extracting #14: cost 0 inf + 85836 459.814 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 459.814 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 459.815 * * * * [progress]: [ 1326 / 5906 ] simplifiying candidate # 459.815 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 459.815 * * [simplify]: iters left: 6 (48 enodes) 459.827 * * [simplify]: iters left: 5 (230 enodes) 459.878 * * [simplify]: Extracting #0: cost 1 inf + 0 459.878 * * [simplify]: Extracting #1: cost 3 inf + 0 459.878 * * [simplify]: Extracting #2: cost 10 inf + 0 459.878 * * [simplify]: Extracting #3: cost 72 inf + 0 459.878 * * [simplify]: Extracting #4: cost 126 inf + 42 459.879 * * [simplify]: Extracting #5: cost 173 inf + 207 459.879 * * [simplify]: Extracting #6: cost 219 inf + 2406 459.881 * * [simplify]: Extracting #7: cost 199 inf + 6142 459.883 * * [simplify]: Extracting #8: cost 163 inf + 12068 459.886 * * [simplify]: Extracting #9: cost 108 inf + 26423 459.895 * * [simplify]: Extracting #10: cost 51 inf + 55073 459.911 * * [simplify]: Extracting #11: cost 3 inf + 96652 459.931 * * [simplify]: Extracting #12: cost 0 inf + 101887 459.953 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) 459.953 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 459.953 * * * * [progress]: [ 1327 / 5906 ] simplifiying candidate # 459.954 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 459.954 * * [simplify]: iters left: 6 (43 enodes) 459.965 * * [simplify]: iters left: 5 (202 enodes) 460.005 * * [simplify]: Extracting #0: cost 1 inf + 0 460.005 * * [simplify]: Extracting #1: cost 3 inf + 0 460.005 * * [simplify]: Extracting #2: cost 10 inf + 0 460.005 * * [simplify]: Extracting #3: cost 64 inf + 0 460.006 * * [simplify]: Extracting #4: cost 107 inf + 44 460.006 * * [simplify]: Extracting #5: cost 132 inf + 1634 460.007 * * [simplify]: Extracting #6: cost 185 inf + 2932 460.008 * * [simplify]: Extracting #7: cost 181 inf + 4435 460.011 * * [simplify]: Extracting #8: cost 120 inf + 17538 460.018 * * [simplify]: Extracting #9: cost 52 inf + 47329 460.035 * * [simplify]: Extracting #10: cost 5 inf + 77355 460.051 * * [simplify]: Extracting #11: cost 1 inf + 80901 460.067 * * [simplify]: Extracting #12: cost 0 inf + 82486 460.084 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 460.084 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 460.084 * * * * [progress]: [ 1328 / 5906 ] simplifiying candidate # 460.084 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 460.085 * * [simplify]: iters left: 6 (48 enodes) 460.097 * * [simplify]: iters left: 5 (230 enodes) 460.150 * * [simplify]: Extracting #0: cost 1 inf + 0 460.150 * * [simplify]: Extracting #1: cost 3 inf + 0 460.150 * * [simplify]: Extracting #2: cost 10 inf + 0 460.150 * * [simplify]: Extracting #3: cost 72 inf + 0 460.150 * * [simplify]: Extracting #4: cost 126 inf + 42 460.150 * * [simplify]: Extracting #5: cost 171 inf + 290 460.151 * * [simplify]: Extracting #6: cost 218 inf + 2688 460.153 * * [simplify]: Extracting #7: cost 201 inf + 6180 460.155 * * [simplify]: Extracting #8: cost 164 inf + 12107 460.158 * * [simplify]: Extracting #9: cost 107 inf + 26747 460.167 * * [simplify]: Extracting #10: cost 50 inf + 55997 460.183 * * [simplify]: Extracting #11: cost 2 inf + 99397 460.205 * * [simplify]: Extracting #12: cost 0 inf + 102847 460.226 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) 460.226 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 460.226 * * * * [progress]: [ 1329 / 5906 ] simplifiying candidate # 460.226 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 460.227 * * [simplify]: iters left: 6 (43 enodes) 460.238 * * [simplify]: iters left: 5 (202 enodes) 460.278 * * [simplify]: Extracting #0: cost 1 inf + 0 460.278 * * [simplify]: Extracting #1: cost 3 inf + 0 460.278 * * [simplify]: Extracting #2: cost 10 inf + 0 460.278 * * [simplify]: Extracting #3: cost 63 inf + 0 460.279 * * [simplify]: Extracting #4: cost 107 inf + 44 460.279 * * [simplify]: Extracting #5: cost 135 inf + 1308 460.282 * * [simplify]: Extracting #6: cost 185 inf + 2932 460.283 * * [simplify]: Extracting #7: cost 179 inf + 4678 460.286 * * [simplify]: Extracting #8: cost 112 inf + 20184 460.295 * * [simplify]: Extracting #9: cost 33 inf + 59025 460.311 * * [simplify]: Extracting #10: cost 3 inf + 79984 460.327 * * [simplify]: Extracting #11: cost 0 inf + 82886 460.343 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 460.343 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 460.344 * * * * [progress]: [ 1330 / 5906 ] simplifiying candidate # 460.344 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 460.344 * * [simplify]: iters left: 6 (51 enodes) 460.357 * * [simplify]: iters left: 5 (243 enodes) 460.411 * * [simplify]: Extracting #0: cost 1 inf + 0 460.411 * * [simplify]: Extracting #1: cost 3 inf + 0 460.411 * * [simplify]: Extracting #2: cost 6 inf + 0 460.411 * * [simplify]: Extracting #3: cost 56 inf + 0 460.412 * * [simplify]: Extracting #4: cost 130 inf + 0 460.412 * * [simplify]: Extracting #5: cost 207 inf + 0 460.413 * * [simplify]: Extracting #6: cost 259 inf + 2478 460.416 * * [simplify]: Extracting #7: cost 189 inf + 21070 460.423 * * [simplify]: Extracting #8: cost 129 inf + 41784 460.432 * * [simplify]: Extracting #9: cost 94 inf + 47649 460.441 * * [simplify]: Extracting #10: cost 57 inf + 60823 460.456 * * [simplify]: Extracting #11: cost 34 inf + 77638 460.476 * * [simplify]: Extracting #12: cost 4 inf + 112868 460.499 * * [simplify]: Extracting #13: cost 1 inf + 118143 460.522 * * [simplify]: Extracting #14: cost 0 inf + 120168 460.546 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 460.546 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 460.546 * * * * [progress]: [ 1331 / 5906 ] simplifiying candidate # 460.546 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 460.548 * * [simplify]: iters left: 6 (52 enodes) 460.561 * * [simplify]: iters left: 5 (252 enodes) 460.615 * * [simplify]: Extracting #0: cost 1 inf + 0 460.615 * * [simplify]: Extracting #1: cost 3 inf + 0 460.615 * * [simplify]: Extracting #2: cost 6 inf + 0 460.615 * * [simplify]: Extracting #3: cost 60 inf + 0 460.615 * * [simplify]: Extracting #4: cost 153 inf + 0 460.616 * * [simplify]: Extracting #5: cost 221 inf + 44 460.617 * * [simplify]: Extracting #6: cost 238 inf + 6144 460.623 * * [simplify]: Extracting #7: cost 179 inf + 18041 460.628 * * [simplify]: Extracting #8: cost 143 inf + 30356 460.636 * * [simplify]: Extracting #9: cost 91 inf + 53197 460.648 * * [simplify]: Extracting #10: cost 49 inf + 70480 460.667 * * [simplify]: Extracting #11: cost 8 inf + 114145 460.690 * * [simplify]: Extracting #12: cost 1 inf + 122320 460.715 * * [simplify]: Extracting #13: cost 0 inf + 124185 460.741 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ lambda1 lambda2)))))) 460.742 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 460.742 * * * * [progress]: [ 1332 / 5906 ] simplifiying candidate # 460.742 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 460.743 * * [simplify]: iters left: 6 (52 enodes) 460.756 * * [simplify]: iters left: 5 (252 enodes) 460.812 * * [simplify]: Extracting #0: cost 1 inf + 0 460.812 * * [simplify]: Extracting #1: cost 3 inf + 0 460.812 * * [simplify]: Extracting #2: cost 6 inf + 0 460.812 * * [simplify]: Extracting #3: cost 62 inf + 0 460.812 * * [simplify]: Extracting #4: cost 151 inf + 0 460.813 * * [simplify]: Extracting #5: cost 217 inf + 44 460.814 * * [simplify]: Extracting #6: cost 242 inf + 5250 460.817 * * [simplify]: Extracting #7: cost 183 inf + 15181 460.822 * * [simplify]: Extracting #8: cost 132 inf + 34540 460.831 * * [simplify]: Extracting #9: cost 91 inf + 52291 460.841 * * [simplify]: Extracting #10: cost 50 inf + 68087 460.860 * * [simplify]: Extracting #11: cost 8 inf + 111697 460.886 * * [simplify]: Extracting #12: cost 1 inf + 120792 460.910 * * [simplify]: Extracting #13: cost 0 inf + 122937 460.934 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 460.935 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 460.935 * * * * [progress]: [ 1333 / 5906 ] simplifiying candidate # 460.935 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 460.936 * * [simplify]: iters left: 6 (46 enodes) 460.947 * * [simplify]: iters left: 5 (216 enodes) 460.993 * * [simplify]: Extracting #0: cost 1 inf + 0 460.993 * * [simplify]: Extracting #1: cost 3 inf + 0 460.993 * * [simplify]: Extracting #2: cost 6 inf + 0 460.993 * * [simplify]: Extracting #3: cost 54 inf + 0 460.994 * * [simplify]: Extracting #4: cost 119 inf + 0 460.994 * * [simplify]: Extracting #5: cost 164 inf + 85 460.995 * * [simplify]: Extracting #6: cost 205 inf + 2452 460.997 * * [simplify]: Extracting #7: cost 167 inf + 8584 461.001 * * [simplify]: Extracting #8: cost 109 inf + 29211 461.009 * * [simplify]: Extracting #9: cost 52 inf + 53402 461.025 * * [simplify]: Extracting #10: cost 11 inf + 84041 461.044 * * [simplify]: Extracting #11: cost 1 inf + 95611 461.066 * * [simplify]: Extracting #12: cost 0 inf + 97476 461.086 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 461.086 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 461.087 * * * * [progress]: [ 1334 / 5906 ] simplifiying candidate # 461.087 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 461.087 * * [simplify]: iters left: 6 (51 enodes) 461.100 * * [simplify]: iters left: 5 (244 enodes) 461.154 * * [simplify]: Extracting #0: cost 1 inf + 0 461.154 * * [simplify]: Extracting #1: cost 3 inf + 0 461.154 * * [simplify]: Extracting #2: cost 10 inf + 0 461.154 * * [simplify]: Extracting #3: cost 74 inf + 0 461.154 * * [simplify]: Extracting #4: cost 137 inf + 1 461.155 * * [simplify]: Extracting #5: cost 187 inf + 207 461.155 * * [simplify]: Extracting #6: cost 231 inf + 2496 461.158 * * [simplify]: Extracting #7: cost 176 inf + 12451 461.162 * * [simplify]: Extracting #8: cost 137 inf + 26873 461.168 * * [simplify]: Extracting #9: cost 89 inf + 46209 461.178 * * [simplify]: Extracting #10: cost 52 inf + 61387 461.193 * * [simplify]: Extracting #11: cost 15 inf + 95552 461.215 * * [simplify]: Extracting #12: cost 1 inf + 111782 461.239 * * [simplify]: Extracting #13: cost 0 inf + 113407 461.261 * * [simplify]: Extracting #14: cost 0 inf + 113367 461.283 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) 461.284 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 461.284 * * * * [progress]: [ 1335 / 5906 ] simplifiying candidate # 461.284 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 461.285 * * [simplify]: iters left: 6 (46 enodes) 461.296 * * [simplify]: iters left: 5 (216 enodes) 461.342 * * [simplify]: Extracting #0: cost 1 inf + 0 461.342 * * [simplify]: Extracting #1: cost 3 inf + 0 461.342 * * [simplify]: Extracting #2: cost 10 inf + 0 461.342 * * [simplify]: Extracting #3: cost 66 inf + 0 461.342 * * [simplify]: Extracting #4: cost 116 inf + 86 461.343 * * [simplify]: Extracting #5: cost 146 inf + 1634 461.344 * * [simplify]: Extracting #6: cost 197 inf + 3302 461.345 * * [simplify]: Extracting #7: cost 169 inf + 7900 461.350 * * [simplify]: Extracting #8: cost 100 inf + 30989 461.360 * * [simplify]: Extracting #9: cost 40 inf + 59272 461.375 * * [simplify]: Extracting #10: cost 4 inf + 91492 461.394 * * [simplify]: Extracting #11: cost 0 inf + 95246 461.414 * * [simplify]: Extracting #12: cost 0 inf + 95206 461.432 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))) 461.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 461.433 * * * * [progress]: [ 1336 / 5906 ] simplifiying candidate # 461.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 461.434 * * [simplify]: iters left: 6 (51 enodes) 461.446 * * [simplify]: iters left: 5 (244 enodes) 461.500 * * [simplify]: Extracting #0: cost 1 inf + 0 461.500 * * [simplify]: Extracting #1: cost 3 inf + 0 461.501 * * [simplify]: Extracting #2: cost 10 inf + 0 461.501 * * [simplify]: Extracting #3: cost 74 inf + 0 461.501 * * [simplify]: Extracting #4: cost 137 inf + 1 461.502 * * [simplify]: Extracting #5: cost 187 inf + 207 461.503 * * [simplify]: Extracting #6: cost 229 inf + 2903 461.505 * * [simplify]: Extracting #7: cost 171 inf + 14065 461.510 * * [simplify]: Extracting #8: cost 136 inf + 27677 461.516 * * [simplify]: Extracting #9: cost 88 inf + 47272 461.526 * * [simplify]: Extracting #10: cost 51 inf + 62772 461.543 * * [simplify]: Extracting #11: cost 8 inf + 103207 461.567 * * [simplify]: Extracting #12: cost 1 inf + 112742 461.590 * * [simplify]: Extracting #13: cost 0 inf + 114367 461.612 * * [simplify]: Extracting #14: cost 0 inf + 114327 461.634 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 461.634 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 461.635 * * * * [progress]: [ 1337 / 5906 ] simplifiying candidate # 461.635 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 461.635 * * [simplify]: iters left: 6 (46 enodes) 461.647 * * [simplify]: iters left: 5 (216 enodes) 461.694 * * [simplify]: Extracting #0: cost 1 inf + 0 461.694 * * [simplify]: Extracting #1: cost 3 inf + 0 461.694 * * [simplify]: Extracting #2: cost 10 inf + 0 461.694 * * [simplify]: Extracting #3: cost 65 inf + 0 461.694 * * [simplify]: Extracting #4: cost 117 inf + 44 461.695 * * [simplify]: Extracting #5: cost 150 inf + 1026 461.696 * * [simplify]: Extracting #6: cost 197 inf + 3302 461.697 * * [simplify]: Extracting #7: cost 166 inf + 8185 461.702 * * [simplify]: Extracting #8: cost 99 inf + 32072 461.711 * * [simplify]: Extracting #9: cost 40 inf + 59472 461.726 * * [simplify]: Extracting #10: cost 4 inf + 91492 461.747 * * [simplify]: Extracting #11: cost 0 inf + 95526 461.765 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) 461.765 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 461.766 * * * * [progress]: [ 1338 / 5906 ] simplifiying candidate # 461.766 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 461.766 * * [simplify]: iters left: 6 (50 enodes) 461.779 * * [simplify]: iters left: 5 (238 enodes) 461.832 * * [simplify]: Extracting #0: cost 1 inf + 0 461.832 * * [simplify]: Extracting #1: cost 3 inf + 0 461.832 * * [simplify]: Extracting #2: cost 6 inf + 0 461.832 * * [simplify]: Extracting #3: cost 57 inf + 0 461.832 * * [simplify]: Extracting #4: cost 128 inf + 0 461.832 * * [simplify]: Extracting #5: cost 199 inf + 0 461.833 * * [simplify]: Extracting #6: cost 265 inf + 1728 461.834 * * [simplify]: Extracting #7: cost 228 inf + 7847 461.838 * * [simplify]: Extracting #8: cost 160 inf + 19425 461.843 * * [simplify]: Extracting #9: cost 112 inf + 34768 461.852 * * [simplify]: Extracting #10: cost 56 inf + 59845 461.870 * * [simplify]: Extracting #11: cost 6 inf + 107855 461.893 * * [simplify]: Extracting #12: cost 0 inf + 115485 461.917 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 461.917 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 461.918 * * * * [progress]: [ 1339 / 5906 ] simplifiying candidate # 461.918 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 461.918 * * [simplify]: iters left: 6 (51 enodes) 461.931 * * [simplify]: iters left: 5 (247 enodes) 461.986 * * [simplify]: Extracting #0: cost 1 inf + 0 461.986 * * [simplify]: Extracting #1: cost 3 inf + 0 461.986 * * [simplify]: Extracting #2: cost 6 inf + 0 461.986 * * [simplify]: Extracting #3: cost 61 inf + 0 461.989 * * [simplify]: Extracting #4: cost 151 inf + 0 461.989 * * [simplify]: Extracting #5: cost 213 inf + 44 461.990 * * [simplify]: Extracting #6: cost 250 inf + 3550 461.992 * * [simplify]: Extracting #7: cost 221 inf + 9135 461.996 * * [simplify]: Extracting #8: cost 163 inf + 20477 462.002 * * [simplify]: Extracting #9: cost 100 inf + 43342 462.012 * * [simplify]: Extracting #10: cost 61 inf + 62278 462.025 * * [simplify]: Extracting #11: cost 33 inf + 82237 462.045 * * [simplify]: Extracting #12: cost 6 inf + 109632 462.069 * * [simplify]: Extracting #13: cost 1 inf + 116517 462.093 * * [simplify]: Extracting #14: cost 0 inf + 118422 462.116 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 462.117 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 462.117 * * * * [progress]: [ 1340 / 5906 ] simplifiying candidate # 462.117 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 462.118 * * [simplify]: iters left: 6 (51 enodes) 462.131 * * [simplify]: iters left: 5 (247 enodes) 462.186 * * [simplify]: Extracting #0: cost 1 inf + 0 462.186 * * [simplify]: Extracting #1: cost 3 inf + 0 462.186 * * [simplify]: Extracting #2: cost 6 inf + 0 462.186 * * [simplify]: Extracting #3: cost 63 inf + 0 462.186 * * [simplify]: Extracting #4: cost 149 inf + 0 462.187 * * [simplify]: Extracting #5: cost 209 inf + 44 462.188 * * [simplify]: Extracting #6: cost 243 inf + 3995 462.190 * * [simplify]: Extracting #7: cost 207 inf + 10757 462.193 * * [simplify]: Extracting #8: cost 160 inf + 19285 462.199 * * [simplify]: Extracting #9: cost 105 inf + 40113 462.209 * * [simplify]: Extracting #10: cost 62 inf + 59744 462.222 * * [simplify]: Extracting #11: cost 31 inf + 81079 462.244 * * [simplify]: Extracting #12: cost 5 inf + 106849 462.267 * * [simplify]: Extracting #13: cost 1 inf + 112469 462.290 * * [simplify]: Extracting #14: cost 0 inf + 114334 462.313 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 462.313 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 462.314 * * * * [progress]: [ 1341 / 5906 ] simplifiying candidate # 462.314 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 462.314 * * [simplify]: iters left: 6 (45 enodes) 462.325 * * [simplify]: iters left: 5 (211 enodes) 462.370 * * [simplify]: Extracting #0: cost 1 inf + 0 462.370 * * [simplify]: Extracting #1: cost 3 inf + 0 462.370 * * [simplify]: Extracting #2: cost 6 inf + 0 462.370 * * [simplify]: Extracting #3: cost 55 inf + 0 462.370 * * [simplify]: Extracting #4: cost 117 inf + 0 462.370 * * [simplify]: Extracting #5: cost 157 inf + 44 462.371 * * [simplify]: Extracting #6: cost 213 inf + 868 462.372 * * [simplify]: Extracting #7: cost 195 inf + 3793 462.374 * * [simplify]: Extracting #8: cost 156 inf + 9193 462.379 * * [simplify]: Extracting #9: cost 101 inf + 30321 462.393 * * [simplify]: Extracting #10: cost 10 inf + 83425 462.411 * * [simplify]: Extracting #11: cost 0 inf + 93393 462.431 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) 462.431 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 462.432 * * * * [progress]: [ 1342 / 5906 ] simplifiying candidate # 462.432 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 462.432 * * [simplify]: iters left: 6 (50 enodes) 462.445 * * [simplify]: iters left: 5 (239 enodes) 462.495 * * [simplify]: Extracting #0: cost 1 inf + 0 462.495 * * [simplify]: Extracting #1: cost 3 inf + 0 462.495 * * [simplify]: Extracting #2: cost 10 inf + 0 462.495 * * [simplify]: Extracting #3: cost 75 inf + 0 462.497 * * [simplify]: Extracting #4: cost 142 inf + 1 462.498 * * [simplify]: Extracting #5: cost 185 inf + 249 462.499 * * [simplify]: Extracting #6: cost 236 inf + 2929 462.500 * * [simplify]: Extracting #7: cost 208 inf + 7433 462.503 * * [simplify]: Extracting #8: cost 166 inf + 15603 462.508 * * [simplify]: Extracting #9: cost 112 inf + 33915 462.519 * * [simplify]: Extracting #10: cost 31 inf + 80585 462.537 * * [simplify]: Extracting #11: cost 4 inf + 107679 462.558 * * [simplify]: Extracting #12: cost 1 inf + 112274 462.579 * * [simplify]: Extracting #13: cost 0 inf + 114099 462.602 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 462.602 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 462.603 * * * * [progress]: [ 1343 / 5906 ] simplifiying candidate # 462.603 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 462.603 * * [simplify]: iters left: 6 (45 enodes) 462.615 * * [simplify]: iters left: 5 (211 enodes) 462.657 * * [simplify]: Extracting #0: cost 1 inf + 0 462.657 * * [simplify]: Extracting #1: cost 3 inf + 0 462.657 * * [simplify]: Extracting #2: cost 10 inf + 0 462.657 * * [simplify]: Extracting #3: cost 67 inf + 0 462.658 * * [simplify]: Extracting #4: cost 121 inf + 86 462.658 * * [simplify]: Extracting #5: cost 146 inf + 1553 462.659 * * [simplify]: Extracting #6: cost 204 inf + 2932 462.660 * * [simplify]: Extracting #7: cost 199 inf + 4275 462.662 * * [simplify]: Extracting #8: cost 169 inf + 7936 462.667 * * [simplify]: Extracting #9: cost 119 inf + 24285 462.678 * * [simplify]: Extracting #10: cost 24 inf + 72507 462.694 * * [simplify]: Extracting #11: cost 2 inf + 91088 462.712 * * [simplify]: Extracting #12: cost 0 inf + 94218 462.729 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (+ phi1 phi2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 462.729 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (+ phi1 phi2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 462.730 * * * * [progress]: [ 1344 / 5906 ] simplifiying candidate # 462.730 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 462.730 * * [simplify]: iters left: 6 (50 enodes) 462.743 * * [simplify]: iters left: 5 (239 enodes) 462.794 * * [simplify]: Extracting #0: cost 1 inf + 0 462.794 * * [simplify]: Extracting #1: cost 3 inf + 0 462.794 * * [simplify]: Extracting #2: cost 10 inf + 0 462.794 * * [simplify]: Extracting #3: cost 75 inf + 0 462.794 * * [simplify]: Extracting #4: cost 142 inf + 1 462.795 * * [simplify]: Extracting #5: cost 186 inf + 207 462.796 * * [simplify]: Extracting #6: cost 238 inf + 2244 462.797 * * [simplify]: Extracting #7: cost 207 inf + 7564 462.800 * * [simplify]: Extracting #8: cost 166 inf + 15763 462.805 * * [simplify]: Extracting #9: cost 110 inf + 34564 462.816 * * [simplify]: Extracting #10: cost 32 inf + 80440 462.836 * * [simplify]: Extracting #11: cost 4 inf + 108639 462.857 * * [simplify]: Extracting #12: cost 1 inf + 113234 462.879 * * [simplify]: Extracting #13: cost 0 inf + 115059 462.900 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 462.900 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 462.901 * * * * [progress]: [ 1345 / 5906 ] simplifiying candidate # 462.901 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 462.901 * * [simplify]: iters left: 6 (45 enodes) 462.913 * * [simplify]: iters left: 5 (211 enodes) 462.957 * * [simplify]: Extracting #0: cost 1 inf + 0 462.957 * * [simplify]: Extracting #1: cost 3 inf + 0 462.957 * * [simplify]: Extracting #2: cost 10 inf + 0 462.957 * * [simplify]: Extracting #3: cost 66 inf + 0 462.958 * * [simplify]: Extracting #4: cost 122 inf + 44 462.958 * * [simplify]: Extracting #5: cost 147 inf + 1310 462.959 * * [simplify]: Extracting #6: cost 204 inf + 2932 462.960 * * [simplify]: Extracting #7: cost 199 inf + 4274 462.962 * * [simplify]: Extracting #8: cost 169 inf + 8016 462.966 * * [simplify]: Extracting #9: cost 113 inf + 25661 462.975 * * [simplify]: Extracting #10: cost 34 inf + 65204 462.991 * * [simplify]: Extracting #11: cost 2 inf + 91488 463.011 * * [simplify]: Extracting #12: cost 0 inf + 94618 463.028 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) 463.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 463.029 * * * * [progress]: [ 1346 / 5906 ] simplifiying candidate # 463.029 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 463.030 * * [simplify]: iters left: 6 (51 enodes) 463.043 * * [simplify]: iters left: 5 (243 enodes) 463.098 * * [simplify]: Extracting #0: cost 1 inf + 0 463.098 * * [simplify]: Extracting #1: cost 3 inf + 0 463.098 * * [simplify]: Extracting #2: cost 6 inf + 0 463.098 * * [simplify]: Extracting #3: cost 56 inf + 0 463.099 * * [simplify]: Extracting #4: cost 130 inf + 0 463.099 * * [simplify]: Extracting #5: cost 208 inf + 0 463.100 * * [simplify]: Extracting #6: cost 258 inf + 2720 463.103 * * [simplify]: Extracting #7: cost 176 inf + 23577 463.110 * * [simplify]: Extracting #8: cost 125 inf + 42674 463.118 * * [simplify]: Extracting #9: cost 89 inf + 49894 463.128 * * [simplify]: Extracting #10: cost 54 inf + 62978 463.146 * * [simplify]: Extracting #11: cost 31 inf + 82313 463.170 * * [simplify]: Extracting #12: cost 2 inf + 117118 463.193 * * [simplify]: Extracting #13: cost 0 inf + 120408 463.217 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 463.217 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 463.218 * * * * [progress]: [ 1347 / 5906 ] simplifiying candidate # 463.218 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 463.218 * * [simplify]: iters left: 6 (52 enodes) 463.231 * * [simplify]: iters left: 5 (252 enodes) 463.287 * * [simplify]: Extracting #0: cost 1 inf + 0 463.287 * * [simplify]: Extracting #1: cost 3 inf + 0 463.287 * * [simplify]: Extracting #2: cost 6 inf + 0 463.287 * * [simplify]: Extracting #3: cost 60 inf + 0 463.287 * * [simplify]: Extracting #4: cost 153 inf + 0 463.288 * * [simplify]: Extracting #5: cost 222 inf + 44 463.289 * * [simplify]: Extracting #6: cost 248 inf + 4443 463.292 * * [simplify]: Extracting #7: cost 201 inf + 12309 463.295 * * [simplify]: Extracting #8: cost 154 inf + 23726 463.302 * * [simplify]: Extracting #9: cost 101 inf + 44680 463.313 * * [simplify]: Extracting #10: cost 54 inf + 67515 463.334 * * [simplify]: Extracting #11: cost 8 inf + 114065 463.357 * * [simplify]: Extracting #12: cost 1 inf + 122480 463.381 * * [simplify]: Extracting #13: cost 0 inf + 124265 463.404 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 463.405 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 463.405 * * * * [progress]: [ 1348 / 5906 ] simplifiying candidate # 463.405 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 463.406 * * [simplify]: iters left: 6 (52 enodes) 463.419 * * [simplify]: iters left: 5 (252 enodes) 463.475 * * [simplify]: Extracting #0: cost 1 inf + 0 463.475 * * [simplify]: Extracting #1: cost 3 inf + 0 463.475 * * [simplify]: Extracting #2: cost 6 inf + 0 463.475 * * [simplify]: Extracting #3: cost 62 inf + 0 463.476 * * [simplify]: Extracting #4: cost 151 inf + 0 463.476 * * [simplify]: Extracting #5: cost 218 inf + 44 463.477 * * [simplify]: Extracting #6: cost 244 inf + 4244 463.480 * * [simplify]: Extracting #7: cost 184 inf + 15059 463.486 * * [simplify]: Extracting #8: cost 108 inf + 41871 463.497 * * [simplify]: Extracting #9: cost 50 inf + 68127 463.517 * * [simplify]: Extracting #10: cost 9 inf + 109752 463.540 * * [simplify]: Extracting #11: cost 1 inf + 119752 463.564 * * [simplify]: Extracting #12: cost 0 inf + 121857 463.587 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 463.587 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 463.588 * * * * [progress]: [ 1349 / 5906 ] simplifiying candidate # 463.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 463.588 * * [simplify]: iters left: 6 (46 enodes) 463.601 * * [simplify]: iters left: 5 (216 enodes) 463.646 * * [simplify]: Extracting #0: cost 1 inf + 0 463.646 * * [simplify]: Extracting #1: cost 3 inf + 0 463.646 * * [simplify]: Extracting #2: cost 6 inf + 0 463.646 * * [simplify]: Extracting #3: cost 54 inf + 0 463.646 * * [simplify]: Extracting #4: cost 119 inf + 0 463.647 * * [simplify]: Extracting #5: cost 165 inf + 85 463.647 * * [simplify]: Extracting #6: cost 205 inf + 2292 463.649 * * [simplify]: Extracting #7: cost 168 inf + 8462 463.653 * * [simplify]: Extracting #8: cost 132 inf + 21361 463.659 * * [simplify]: Extracting #9: cost 88 inf + 40043 463.668 * * [simplify]: Extracting #10: cost 44 inf + 55589 463.685 * * [simplify]: Extracting #11: cost 10 inf + 86226 463.704 * * [simplify]: Extracting #12: cost 1 inf + 96971 463.724 * * [simplify]: Extracting #13: cost 0 inf + 98876 463.745 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 463.745 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 463.746 * * * * [progress]: [ 1350 / 5906 ] simplifiying candidate # 463.746 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 463.747 * * [simplify]: iters left: 6 (51 enodes) 463.760 * * [simplify]: iters left: 5 (244 enodes) 463.814 * * [simplify]: Extracting #0: cost 1 inf + 0 463.814 * * [simplify]: Extracting #1: cost 3 inf + 0 463.814 * * [simplify]: Extracting #2: cost 10 inf + 0 463.814 * * [simplify]: Extracting #3: cost 74 inf + 0 463.814 * * [simplify]: Extracting #4: cost 137 inf + 1 463.815 * * [simplify]: Extracting #5: cost 189 inf + 165 463.815 * * [simplify]: Extracting #6: cost 233 inf + 2172 463.818 * * [simplify]: Extracting #7: cost 176 inf + 13053 463.822 * * [simplify]: Extracting #8: cost 137 inf + 26873 463.828 * * [simplify]: Extracting #9: cost 94 inf + 43322 463.837 * * [simplify]: Extracting #10: cost 58 inf + 57757 463.851 * * [simplify]: Extracting #11: cost 30 inf + 77377 463.871 * * [simplify]: Extracting #12: cost 3 inf + 108612 463.893 * * [simplify]: Extracting #13: cost 1 inf + 112662 463.916 * * [simplify]: Extracting #14: cost 0 inf + 114727 463.939 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) 463.939 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 463.939 * * * * [progress]: [ 1351 / 5906 ] simplifiying candidate # 463.940 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 463.940 * * [simplify]: iters left: 6 (46 enodes) 463.953 * * [simplify]: iters left: 5 (216 enodes) 463.997 * * [simplify]: Extracting #0: cost 1 inf + 0 463.997 * * [simplify]: Extracting #1: cost 3 inf + 0 463.997 * * [simplify]: Extracting #2: cost 10 inf + 0 463.997 * * [simplify]: Extracting #3: cost 66 inf + 0 463.997 * * [simplify]: Extracting #4: cost 117 inf + 44 463.998 * * [simplify]: Extracting #5: cost 154 inf + 740 463.999 * * [simplify]: Extracting #6: cost 201 inf + 2654 464.000 * * [simplify]: Extracting #7: cost 169 inf + 7820 464.005 * * [simplify]: Extracting #8: cost 102 inf + 30297 464.014 * * [simplify]: Extracting #9: cost 42 inf + 58022 464.031 * * [simplify]: Extracting #10: cost 5 inf + 89107 464.049 * * [simplify]: Extracting #11: cost 0 inf + 94886 464.069 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) 464.069 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 464.070 * * * * [progress]: [ 1352 / 5906 ] simplifiying candidate # 464.070 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 464.070 * * [simplify]: iters left: 6 (51 enodes) 464.083 * * [simplify]: iters left: 5 (244 enodes) 464.137 * * [simplify]: Extracting #0: cost 1 inf + 0 464.137 * * [simplify]: Extracting #1: cost 3 inf + 0 464.137 * * [simplify]: Extracting #2: cost 10 inf + 0 464.137 * * [simplify]: Extracting #3: cost 74 inf + 0 464.137 * * [simplify]: Extracting #4: cost 137 inf + 1 464.138 * * [simplify]: Extracting #5: cost 188 inf + 207 464.139 * * [simplify]: Extracting #6: cost 225 inf + 3550 464.141 * * [simplify]: Extracting #7: cost 170 inf + 15231 464.146 * * [simplify]: Extracting #8: cost 139 inf + 26238 464.152 * * [simplify]: Extracting #9: cost 95 inf + 43978 464.161 * * [simplify]: Extracting #10: cost 57 inf + 59142 464.173 * * [simplify]: Extracting #11: cost 30 inf + 78337 464.195 * * [simplify]: Extracting #12: cost 3 inf + 109572 464.218 * * [simplify]: Extracting #13: cost 1 inf + 113622 464.241 * * [simplify]: Extracting #14: cost 0 inf + 115687 464.264 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) 464.264 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 464.264 * * * * [progress]: [ 1353 / 5906 ] simplifiying candidate # 464.265 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 464.265 * * [simplify]: iters left: 6 (46 enodes) 464.276 * * [simplify]: iters left: 5 (216 enodes) 464.321 * * [simplify]: Extracting #0: cost 1 inf + 0 464.321 * * [simplify]: Extracting #1: cost 3 inf + 0 464.321 * * [simplify]: Extracting #2: cost 10 inf + 0 464.321 * * [simplify]: Extracting #3: cost 65 inf + 0 464.322 * * [simplify]: Extracting #4: cost 117 inf + 44 464.322 * * [simplify]: Extracting #5: cost 152 inf + 944 464.323 * * [simplify]: Extracting #6: cost 198 inf + 3140 464.325 * * [simplify]: Extracting #7: cost 166 inf + 8185 464.330 * * [simplify]: Extracting #8: cost 94 inf + 34977 464.339 * * [simplify]: Extracting #9: cost 35 inf + 62411 464.355 * * [simplify]: Extracting #10: cost 4 inf + 91212 464.377 * * [simplify]: Extracting #11: cost 0 inf + 95166 464.396 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 464.396 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 464.396 * * * * [progress]: [ 1354 / 5906 ] simplifiying candidate # 464.397 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 464.397 * * [simplify]: iters left: 6 (52 enodes) 464.410 * * [simplify]: iters left: 5 (254 enodes) 464.470 * * [simplify]: Extracting #0: cost 1 inf + 0 464.470 * * [simplify]: Extracting #1: cost 3 inf + 0 464.470 * * [simplify]: Extracting #2: cost 6 inf + 0 464.470 * * [simplify]: Extracting #3: cost 56 inf + 0 464.470 * * [simplify]: Extracting #4: cost 130 inf + 0 464.470 * * [simplify]: Extracting #5: cost 211 inf + 0 464.471 * * [simplify]: Extracting #6: cost 300 inf + 513 464.473 * * [simplify]: Extracting #7: cost 229 inf + 13625 464.479 * * [simplify]: Extracting #8: cost 144 inf + 37282 464.487 * * [simplify]: Extracting #9: cost 98 inf + 53904 464.499 * * [simplify]: Extracting #10: cost 52 inf + 73358 464.518 * * [simplify]: Extracting #11: cost 12 inf + 115038 464.546 * * [simplify]: Extracting #12: cost 0 inf + 131418 464.572 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 464.572 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 464.572 * * * * [progress]: [ 1355 / 5906 ] simplifiying candidate # 464.573 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 464.573 * * [simplify]: iters left: 6 (53 enodes) 464.586 * * [simplify]: iters left: 5 (263 enodes) 464.646 * * [simplify]: Extracting #0: cost 1 inf + 0 464.646 * * [simplify]: Extracting #1: cost 3 inf + 0 464.646 * * [simplify]: Extracting #2: cost 6 inf + 0 464.646 * * [simplify]: Extracting #3: cost 60 inf + 0 464.647 * * [simplify]: Extracting #4: cost 153 inf + 0 464.647 * * [simplify]: Extracting #5: cost 224 inf + 86 464.648 * * [simplify]: Extracting #6: cost 279 inf + 3917 464.651 * * [simplify]: Extracting #7: cost 224 inf + 14538 464.657 * * [simplify]: Extracting #8: cost 140 inf + 38815 464.671 * * [simplify]: Extracting #9: cost 55 inf + 75266 464.693 * * [simplify]: Extracting #10: cost 12 inf + 117215 464.718 * * [simplify]: Extracting #11: cost 0 inf + 132875 464.744 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 464.744 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 464.744 * * * * [progress]: [ 1356 / 5906 ] simplifiying candidate # 464.744 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 464.745 * * [simplify]: iters left: 6 (53 enodes) 464.758 * * [simplify]: iters left: 5 (263 enodes) 464.817 * * [simplify]: Extracting #0: cost 1 inf + 0 464.817 * * [simplify]: Extracting #1: cost 3 inf + 0 464.817 * * [simplify]: Extracting #2: cost 6 inf + 0 464.818 * * [simplify]: Extracting #3: cost 62 inf + 0 464.818 * * [simplify]: Extracting #4: cost 151 inf + 0 464.818 * * [simplify]: Extracting #5: cost 220 inf + 86 464.820 * * [simplify]: Extracting #6: cost 276 inf + 3716 464.822 * * [simplify]: Extracting #7: cost 226 inf + 13436 464.827 * * [simplify]: Extracting #8: cost 160 inf + 30729 464.836 * * [simplify]: Extracting #9: cost 92 inf + 58603 464.852 * * [simplify]: Extracting #10: cost 42 inf + 83377 464.872 * * [simplify]: Extracting #11: cost 9 inf + 121522 464.898 * * [simplify]: Extracting #12: cost 0 inf + 133187 464.923 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 464.923 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 464.924 * * * * [progress]: [ 1357 / 5906 ] simplifiying candidate # 464.924 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 464.924 * * [simplify]: iters left: 6 (47 enodes) 464.936 * * [simplify]: iters left: 5 (227 enodes) 464.987 * * [simplify]: Extracting #0: cost 1 inf + 0 464.987 * * [simplify]: Extracting #1: cost 3 inf + 0 464.987 * * [simplify]: Extracting #2: cost 6 inf + 0 464.987 * * [simplify]: Extracting #3: cost 54 inf + 0 464.988 * * [simplify]: Extracting #4: cost 119 inf + 0 464.988 * * [simplify]: Extracting #5: cost 169 inf + 44 464.989 * * [simplify]: Extracting #6: cost 241 inf + 1076 464.991 * * [simplify]: Extracting #7: cost 196 inf + 9549 464.994 * * [simplify]: Extracting #8: cost 148 inf + 19932 465.001 * * [simplify]: Extracting #9: cost 101 inf + 41772 465.011 * * [simplify]: Extracting #10: cost 49 inf + 61887 465.030 * * [simplify]: Extracting #11: cost 6 inf + 99416 465.050 * * [simplify]: Extracting #12: cost 1 inf + 106341 465.071 * * [simplify]: Extracting #13: cost 0 inf + 108246 465.092 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 465.093 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 465.093 * * * * [progress]: [ 1358 / 5906 ] simplifiying candidate # 465.093 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 465.094 * * [simplify]: iters left: 6 (52 enodes) 465.107 * * [simplify]: iters left: 5 (255 enodes) 465.162 * * [simplify]: Extracting #0: cost 1 inf + 0 465.162 * * [simplify]: Extracting #1: cost 3 inf + 0 465.162 * * [simplify]: Extracting #2: cost 10 inf + 0 465.163 * * [simplify]: Extracting #3: cost 74 inf + 0 465.163 * * [simplify]: Extracting #4: cost 137 inf + 1 465.163 * * [simplify]: Extracting #5: cost 190 inf + 248 465.164 * * [simplify]: Extracting #6: cost 254 inf + 3624 465.167 * * [simplify]: Extracting #7: cost 210 inf + 12815 465.171 * * [simplify]: Extracting #8: cost 150 inf + 28049 465.179 * * [simplify]: Extracting #9: cost 94 inf + 51806 465.192 * * [simplify]: Extracting #10: cost 50 inf + 71649 465.210 * * [simplify]: Extracting #11: cost 9 inf + 108992 465.233 * * [simplify]: Extracting #12: cost 1 inf + 119232 465.257 * * [simplify]: Extracting #13: cost 0 inf + 121257 465.282 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 465.282 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 465.283 * * * * [progress]: [ 1359 / 5906 ] simplifiying candidate # 465.283 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 465.283 * * [simplify]: iters left: 6 (47 enodes) 465.296 * * [simplify]: iters left: 5 (227 enodes) 465.344 * * [simplify]: Extracting #0: cost 1 inf + 0 465.344 * * [simplify]: Extracting #1: cost 3 inf + 0 465.344 * * [simplify]: Extracting #2: cost 10 inf + 0 465.344 * * [simplify]: Extracting #3: cost 66 inf + 0 465.344 * * [simplify]: Extracting #4: cost 117 inf + 44 465.345 * * [simplify]: Extracting #5: cost 153 inf + 1228 465.346 * * [simplify]: Extracting #6: cost 229 inf + 2934 465.347 * * [simplify]: Extracting #7: cost 206 inf + 7085 465.351 * * [simplify]: Extracting #8: cost 133 inf + 24174 465.361 * * [simplify]: Extracting #9: cost 61 inf + 55037 465.375 * * [simplify]: Extracting #10: cost 15 inf + 85921 465.394 * * [simplify]: Extracting #11: cost 3 inf + 99421 465.414 * * [simplify]: Extracting #12: cost 1 inf + 103191 465.435 * * [simplify]: Extracting #13: cost 0 inf + 105096 465.455 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 465.455 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 465.456 * * * * [progress]: [ 1360 / 5906 ] simplifiying candidate # 465.456 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 465.457 * * [simplify]: iters left: 6 (52 enodes) 465.470 * * [simplify]: iters left: 5 (255 enodes) 465.526 * * [simplify]: Extracting #0: cost 1 inf + 0 465.526 * * [simplify]: Extracting #1: cost 3 inf + 0 465.526 * * [simplify]: Extracting #2: cost 10 inf + 0 465.526 * * [simplify]: Extracting #3: cost 74 inf + 0 465.526 * * [simplify]: Extracting #4: cost 137 inf + 1 465.526 * * [simplify]: Extracting #5: cost 190 inf + 248 465.527 * * [simplify]: Extracting #6: cost 258 inf + 2456 465.532 * * [simplify]: Extracting #7: cost 213 inf + 12009 465.536 * * [simplify]: Extracting #8: cost 152 inf + 26843 465.544 * * [simplify]: Extracting #9: cost 96 inf + 51756 465.556 * * [simplify]: Extracting #10: cost 50 inf + 72609 465.575 * * [simplify]: Extracting #11: cost 9 inf + 109992 465.598 * * [simplify]: Extracting #12: cost 1 inf + 120192 465.623 * * [simplify]: Extracting #13: cost 0 inf + 122217 465.646 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 465.647 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 465.647 * * * * [progress]: [ 1361 / 5906 ] simplifiying candidate # 465.647 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 465.648 * * [simplify]: iters left: 6 (47 enodes) 465.659 * * [simplify]: iters left: 5 (227 enodes) 465.709 * * [simplify]: Extracting #0: cost 1 inf + 0 465.709 * * [simplify]: Extracting #1: cost 3 inf + 0 465.709 * * [simplify]: Extracting #2: cost 10 inf + 0 465.709 * * [simplify]: Extracting #3: cost 65 inf + 0 465.709 * * [simplify]: Extracting #4: cost 116 inf + 86 465.710 * * [simplify]: Extracting #5: cost 151 inf + 1553 465.711 * * [simplify]: Extracting #6: cost 230 inf + 2772 465.712 * * [simplify]: Extracting #7: cost 204 inf + 7409 465.716 * * [simplify]: Extracting #8: cost 129 inf + 26652 465.725 * * [simplify]: Extracting #9: cost 63 inf + 54410 465.739 * * [simplify]: Extracting #10: cost 15 inf + 86321 465.758 * * [simplify]: Extracting #11: cost 3 inf + 99821 465.778 * * [simplify]: Extracting #12: cost 1 inf + 103591 465.800 * * [simplify]: Extracting #13: cost 0 inf + 105496 465.821 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 465.821 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 465.821 * * * * [progress]: [ 1362 / 5906 ] simplifiying candidate # 465.822 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 465.822 * * [simplify]: iters left: 6 (52 enodes) 465.835 * * [simplify]: iters left: 5 (249 enodes) 465.891 * * [simplify]: Extracting #0: cost 1 inf + 0 465.891 * * [simplify]: Extracting #1: cost 3 inf + 0 465.891 * * [simplify]: Extracting #2: cost 6 inf + 0 465.891 * * [simplify]: Extracting #3: cost 53 inf + 0 465.892 * * [simplify]: Extracting #4: cost 118 inf + 0 465.892 * * [simplify]: Extracting #5: cost 183 inf + 0 465.893 * * [simplify]: Extracting #6: cost 265 inf + 47 465.894 * * [simplify]: Extracting #7: cost 226 inf + 5301 465.897 * * [simplify]: Extracting #8: cost 143 inf + 22088 465.903 * * [simplify]: Extracting #9: cost 110 inf + 36262 465.910 * * [simplify]: Extracting #10: cost 85 inf + 45091 465.920 * * [simplify]: Extracting #11: cost 50 inf + 59118 465.937 * * [simplify]: Extracting #12: cost 7 inf + 100673 465.959 * * [simplify]: Extracting #13: cost 1 inf + 107743 465.980 * * [simplify]: Extracting #14: cost 0 inf + 109568 466.002 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 466.002 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 466.002 * * * * [progress]: [ 1363 / 5906 ] simplifiying candidate # 466.003 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 466.003 * * [simplify]: iters left: 6 (53 enodes) 466.017 * * [simplify]: iters left: 5 (258 enodes) 466.072 * * [simplify]: Extracting #0: cost 1 inf + 0 466.073 * * [simplify]: Extracting #1: cost 3 inf + 0 466.073 * * [simplify]: Extracting #2: cost 6 inf + 0 466.073 * * [simplify]: Extracting #3: cost 56 inf + 0 466.073 * * [simplify]: Extracting #4: cost 140 inf + 0 466.073 * * [simplify]: Extracting #5: cost 196 inf + 44 466.074 * * [simplify]: Extracting #6: cost 247 inf + 2867 466.077 * * [simplify]: Extracting #7: cost 193 inf + 12553 466.082 * * [simplify]: Extracting #8: cost 125 inf + 33650 466.090 * * [simplify]: Extracting #9: cost 88 inf + 48931 466.100 * * [simplify]: Extracting #10: cost 50 inf + 63270 466.120 * * [simplify]: Extracting #11: cost 8 inf + 105160 466.142 * * [simplify]: Extracting #12: cost 0 inf + 115840 466.165 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 466.165 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 466.166 * * * * [progress]: [ 1364 / 5906 ] simplifiying candidate # 466.166 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 466.166 * * [simplify]: iters left: 6 (53 enodes) 466.181 * * [simplify]: iters left: 5 (258 enodes) 466.237 * * [simplify]: Extracting #0: cost 1 inf + 0 466.237 * * [simplify]: Extracting #1: cost 3 inf + 0 466.237 * * [simplify]: Extracting #2: cost 6 inf + 0 466.237 * * [simplify]: Extracting #3: cost 58 inf + 0 466.238 * * [simplify]: Extracting #4: cost 138 inf + 0 466.238 * * [simplify]: Extracting #5: cost 192 inf + 44 466.239 * * [simplify]: Extracting #6: cost 231 inf + 5408 466.242 * * [simplify]: Extracting #7: cost 181 inf + 14769 466.247 * * [simplify]: Extracting #8: cost 131 inf + 29249 466.255 * * [simplify]: Extracting #9: cost 85 inf + 49119 466.264 * * [simplify]: Extracting #10: cost 50 inf + 61662 466.283 * * [simplify]: Extracting #11: cost 10 inf + 98062 466.304 * * [simplify]: Extracting #12: cost 0 inf + 110912 466.325 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 466.325 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 466.326 * * * * [progress]: [ 1365 / 5906 ] simplifiying candidate # 466.326 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 466.326 * * [simplify]: iters left: 6 (47 enodes) 466.338 * * [simplify]: iters left: 5 (221 enodes) 466.386 * * [simplify]: Extracting #0: cost 1 inf + 0 466.386 * * [simplify]: Extracting #1: cost 3 inf + 0 466.386 * * [simplify]: Extracting #2: cost 6 inf + 0 466.386 * * [simplify]: Extracting #3: cost 50 inf + 0 466.386 * * [simplify]: Extracting #4: cost 107 inf + 0 466.386 * * [simplify]: Extracting #5: cost 137 inf + 412 466.387 * * [simplify]: Extracting #6: cost 195 inf + 2372 466.389 * * [simplify]: Extracting #7: cost 166 inf + 7655 466.392 * * [simplify]: Extracting #8: cost 126 inf + 18716 466.398 * * [simplify]: Extracting #9: cost 85 inf + 34608 466.406 * * [simplify]: Extracting #10: cost 44 inf + 49486 466.416 * * [simplify]: Extracting #11: cost 29 inf + 59408 466.429 * * [simplify]: Extracting #12: cost 10 inf + 77643 466.446 * * [simplify]: Extracting #13: cost 0 inf + 89133 466.465 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 466.466 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 466.466 * * * * [progress]: [ 1366 / 5906 ] simplifiying candidate # 466.466 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 466.467 * * [simplify]: iters left: 6 (52 enodes) 466.480 * * [simplify]: iters left: 5 (249 enodes) 466.534 * * [simplify]: Extracting #0: cost 1 inf + 0 466.534 * * [simplify]: Extracting #1: cost 3 inf + 0 466.535 * * [simplify]: Extracting #2: cost 10 inf + 0 466.535 * * [simplify]: Extracting #3: cost 66 inf + 0 466.536 * * [simplify]: Extracting #4: cost 126 inf + 1 466.536 * * [simplify]: Extracting #5: cost 164 inf + 207 466.537 * * [simplify]: Extracting #6: cost 227 inf + 1924 466.539 * * [simplify]: Extracting #7: cost 198 inf + 7526 466.543 * * [simplify]: Extracting #8: cost 132 inf + 24447 466.548 * * [simplify]: Extracting #9: cost 94 inf + 38218 466.557 * * [simplify]: Extracting #10: cost 52 inf + 56052 466.568 * * [simplify]: Extracting #11: cost 33 inf + 68007 466.585 * * [simplify]: Extracting #12: cost 4 inf + 99172 466.605 * * [simplify]: Extracting #13: cost 0 inf + 104712 466.627 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 466.627 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 466.627 * * * * [progress]: [ 1367 / 5906 ] simplifiying candidate # 466.628 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 466.628 * * [simplify]: iters left: 6 (47 enodes) 466.640 * * [simplify]: iters left: 5 (222 enodes) 466.685 * * [simplify]: Extracting #0: cost 1 inf + 0 466.685 * * [simplify]: Extracting #1: cost 3 inf + 0 466.685 * * [simplify]: Extracting #2: cost 10 inf + 0 466.685 * * [simplify]: Extracting #3: cost 57 inf + 0 466.685 * * [simplify]: Extracting #4: cost 105 inf + 44 466.686 * * [simplify]: Extracting #5: cost 131 inf + 659 466.687 * * [simplify]: Extracting #6: cost 192 inf + 2895 466.688 * * [simplify]: Extracting #7: cost 159 inf + 9586 466.695 * * [simplify]: Extracting #8: cost 98 inf + 28883 466.707 * * [simplify]: Extracting #9: cost 48 inf + 49642 466.718 * * [simplify]: Extracting #10: cost 25 inf + 62110 466.732 * * [simplify]: Extracting #11: cost 4 inf + 80969 466.748 * * [simplify]: Extracting #12: cost 1 inf + 85524 466.764 * * [simplify]: Extracting #13: cost 0 inf + 87069 466.780 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 466.780 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 466.781 * * * * [progress]: [ 1368 / 5906 ] simplifiying candidate # 466.781 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 466.782 * * [simplify]: iters left: 6 (52 enodes) 466.796 * * [simplify]: iters left: 5 (249 enodes) 466.847 * * [simplify]: Extracting #0: cost 1 inf + 0 466.847 * * [simplify]: Extracting #1: cost 3 inf + 0 466.847 * * [simplify]: Extracting #2: cost 10 inf + 0 466.847 * * [simplify]: Extracting #3: cost 66 inf + 0 466.848 * * [simplify]: Extracting #4: cost 126 inf + 1 466.848 * * [simplify]: Extracting #5: cost 164 inf + 207 466.849 * * [simplify]: Extracting #6: cost 224 inf + 2330 466.850 * * [simplify]: Extracting #7: cost 198 inf + 7526 466.854 * * [simplify]: Extracting #8: cost 134 inf + 24503 466.862 * * [simplify]: Extracting #9: cost 94 inf + 38938 466.871 * * [simplify]: Extracting #10: cost 52 inf + 56852 466.882 * * [simplify]: Extracting #11: cost 33 inf + 68807 466.899 * * [simplify]: Extracting #12: cost 4 inf + 99972 466.919 * * [simplify]: Extracting #13: cost 0 inf + 105512 466.939 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 466.939 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 466.940 * * * * [progress]: [ 1369 / 5906 ] simplifiying candidate # 466.940 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 466.941 * * [simplify]: iters left: 6 (47 enodes) 466.954 * * [simplify]: iters left: 5 (222 enodes) 466.998 * * [simplify]: Extracting #0: cost 1 inf + 0 466.998 * * [simplify]: Extracting #1: cost 3 inf + 0 466.998 * * [simplify]: Extracting #2: cost 10 inf + 0 466.998 * * [simplify]: Extracting #3: cost 56 inf + 0 466.998 * * [simplify]: Extracting #4: cost 104 inf + 86 466.999 * * [simplify]: Extracting #5: cost 119 inf + 2242 467.000 * * [simplify]: Extracting #6: cost 191 inf + 2976 467.001 * * [simplify]: Extracting #7: cost 159 inf + 9586 467.006 * * [simplify]: Extracting #8: cost 98 inf + 29043 467.015 * * [simplify]: Extracting #9: cost 47 inf + 50214 467.028 * * [simplify]: Extracting #10: cost 25 inf + 62430 467.041 * * [simplify]: Extracting #11: cost 4 inf + 81289 467.058 * * [simplify]: Extracting #12: cost 1 inf + 85844 467.074 * * [simplify]: Extracting #13: cost 0 inf + 87389 467.090 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 467.090 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 467.091 * * * * [progress]: [ 1370 / 5906 ] simplifiying candidate # 467.091 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 467.092 * * [simplify]: iters left: 6 (48 enodes) 467.104 * * [simplify]: iters left: 5 (227 enodes) 467.153 * * [simplify]: Extracting #0: cost 1 inf + 0 467.153 * * [simplify]: Extracting #1: cost 3 inf + 0 467.153 * * [simplify]: Extracting #2: cost 6 inf + 0 467.153 * * [simplify]: Extracting #3: cost 48 inf + 0 467.154 * * [simplify]: Extracting #4: cost 112 inf + 0 467.154 * * [simplify]: Extracting #5: cost 180 inf + 0 467.154 * * [simplify]: Extracting #6: cost 243 inf + 342 467.156 * * [simplify]: Extracting #7: cost 206 inf + 5600 467.159 * * [simplify]: Extracting #8: cost 132 inf + 20139 467.164 * * [simplify]: Extracting #9: cost 84 inf + 37901 467.173 * * [simplify]: Extracting #10: cost 46 inf + 55674 467.191 * * [simplify]: Extracting #11: cost 6 inf + 97794 467.212 * * [simplify]: Extracting #12: cost 0 inf + 105184 467.232 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) 467.232 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 467.233 * * * * [progress]: [ 1371 / 5906 ] simplifiying candidate # 467.233 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 467.233 * * [simplify]: iters left: 6 (49 enodes) 467.246 * * [simplify]: iters left: 5 (236 enodes) 467.298 * * [simplify]: Extracting #0: cost 1 inf + 0 467.298 * * [simplify]: Extracting #1: cost 3 inf + 0 467.298 * * [simplify]: Extracting #2: cost 6 inf + 0 467.298 * * [simplify]: Extracting #3: cost 52 inf + 0 467.299 * * [simplify]: Extracting #4: cost 135 inf + 0 467.299 * * [simplify]: Extracting #5: cost 192 inf + 127 467.300 * * [simplify]: Extracting #6: cost 217 inf + 4927 467.302 * * [simplify]: Extracting #7: cost 177 inf + 13712 467.307 * * [simplify]: Extracting #8: cost 122 inf + 28830 467.315 * * [simplify]: Extracting #9: cost 80 inf + 45853 467.325 * * [simplify]: Extracting #10: cost 42 inf + 62751 467.344 * * [simplify]: Extracting #11: cost 7 inf + 99026 467.366 * * [simplify]: Extracting #12: cost 0 inf + 107761 467.387 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ phi1 phi2) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 467.387 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ phi1 phi2) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 467.388 * * * * [progress]: [ 1372 / 5906 ] simplifiying candidate # 467.388 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 467.388 * * [simplify]: iters left: 6 (49 enodes) 467.401 * * [simplify]: iters left: 5 (236 enodes) 467.454 * * [simplify]: Extracting #0: cost 1 inf + 0 467.454 * * [simplify]: Extracting #1: cost 3 inf + 0 467.454 * * [simplify]: Extracting #2: cost 6 inf + 0 467.454 * * [simplify]: Extracting #3: cost 54 inf + 0 467.455 * * [simplify]: Extracting #4: cost 133 inf + 0 467.455 * * [simplify]: Extracting #5: cost 187 inf + 208 467.456 * * [simplify]: Extracting #6: cost 214 inf + 5045 467.459 * * [simplify]: Extracting #7: cost 178 inf + 12338 467.463 * * [simplify]: Extracting #8: cost 125 inf + 27506 467.471 * * [simplify]: Extracting #9: cost 66 inf + 52171 467.482 * * [simplify]: Extracting #10: cost 32 inf + 68713 467.500 * * [simplify]: Extracting #11: cost 2 inf + 102583 467.520 * * [simplify]: Extracting #12: cost 0 inf + 105633 467.541 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 467.541 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 467.542 * * * * [progress]: [ 1373 / 5906 ] simplifiying candidate # 467.542 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 467.542 * * [simplify]: iters left: 6 (43 enodes) 467.553 * * [simplify]: iters left: 5 (199 enodes) 467.594 * * [simplify]: Extracting #0: cost 1 inf + 0 467.594 * * [simplify]: Extracting #1: cost 3 inf + 0 467.594 * * [simplify]: Extracting #2: cost 6 inf + 0 467.594 * * [simplify]: Extracting #3: cost 46 inf + 0 467.594 * * [simplify]: Extracting #4: cost 101 inf + 0 467.595 * * [simplify]: Extracting #5: cost 132 inf + 372 467.595 * * [simplify]: Extracting #6: cost 178 inf + 2207 467.597 * * [simplify]: Extracting #7: cost 156 inf + 6237 467.600 * * [simplify]: Extracting #8: cost 101 inf + 20012 467.609 * * [simplify]: Extracting #9: cost 45 inf + 45723 467.622 * * [simplify]: Extracting #10: cost 7 inf + 74570 467.638 * * [simplify]: Extracting #11: cost 0 inf + 82412 467.653 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 467.653 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 467.654 * * * * [progress]: [ 1374 / 5906 ] simplifiying candidate # 467.654 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 467.655 * * [simplify]: iters left: 6 (48 enodes) 467.667 * * [simplify]: iters left: 5 (227 enodes) 467.716 * * [simplify]: Extracting #0: cost 1 inf + 0 467.716 * * [simplify]: Extracting #1: cost 3 inf + 0 467.716 * * [simplify]: Extracting #2: cost 10 inf + 0 467.716 * * [simplify]: Extracting #3: cost 62 inf + 0 467.716 * * [simplify]: Extracting #4: cost 115 inf + 42 467.717 * * [simplify]: Extracting #5: cost 157 inf + 207 467.718 * * [simplify]: Extracting #6: cost 199 inf + 2773 467.719 * * [simplify]: Extracting #7: cost 176 inf + 7613 467.723 * * [simplify]: Extracting #8: cost 97 inf + 27749 467.731 * * [simplify]: Extracting #9: cost 45 inf + 51070 467.746 * * [simplify]: Extracting #10: cost 5 inf + 86343 467.764 * * [simplify]: Extracting #11: cost 0 inf + 93788 467.785 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 467.785 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 467.785 * * * * [progress]: [ 1375 / 5906 ] simplifiying candidate # 467.786 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 467.786 * * [simplify]: iters left: 6 (43 enodes) 467.797 * * [simplify]: iters left: 5 (199 enodes) 467.837 * * [simplify]: Extracting #0: cost 1 inf + 0 467.837 * * [simplify]: Extracting #1: cost 3 inf + 0 467.837 * * [simplify]: Extracting #2: cost 10 inf + 0 467.837 * * [simplify]: Extracting #3: cost 54 inf + 0 467.837 * * [simplify]: Extracting #4: cost 95 inf + 86 467.837 * * [simplify]: Extracting #5: cost 118 inf + 1471 467.838 * * [simplify]: Extracting #6: cost 169 inf + 2895 467.839 * * [simplify]: Extracting #7: cost 156 inf + 5586 467.842 * * [simplify]: Extracting #8: cost 101 inf + 19389 467.853 * * [simplify]: Extracting #9: cost 41 inf + 48820 467.866 * * [simplify]: Extracting #10: cost 6 inf + 71724 467.881 * * [simplify]: Extracting #11: cost 0 inf + 77267 467.897 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 467.897 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 467.897 * * * * [progress]: [ 1376 / 5906 ] simplifiying candidate # 467.897 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 467.898 * * [simplify]: iters left: 6 (48 enodes) 467.910 * * [simplify]: iters left: 5 (227 enodes) 467.962 * * [simplify]: Extracting #0: cost 1 inf + 0 467.962 * * [simplify]: Extracting #1: cost 3 inf + 0 467.963 * * [simplify]: Extracting #2: cost 10 inf + 0 467.963 * * [simplify]: Extracting #3: cost 62 inf + 0 467.963 * * [simplify]: Extracting #4: cost 115 inf + 42 467.963 * * [simplify]: Extracting #5: cost 155 inf + 290 467.964 * * [simplify]: Extracting #6: cost 198 inf + 3015 467.966 * * [simplify]: Extracting #7: cost 177 inf + 7532 467.969 * * [simplify]: Extracting #8: cost 97 inf + 27829 467.977 * * [simplify]: Extracting #9: cost 45 inf + 51590 467.993 * * [simplify]: Extracting #10: cost 3 inf + 90633 468.011 * * [simplify]: Extracting #11: cost 0 inf + 94508 468.032 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 468.032 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 468.033 * * * * [progress]: [ 1377 / 5906 ] simplifiying candidate # 468.033 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 468.033 * * [simplify]: iters left: 6 (43 enodes) 468.044 * * [simplify]: iters left: 5 (199 enodes) 468.084 * * [simplify]: Extracting #0: cost 1 inf + 0 468.084 * * [simplify]: Extracting #1: cost 3 inf + 0 468.084 * * [simplify]: Extracting #2: cost 10 inf + 0 468.084 * * [simplify]: Extracting #3: cost 53 inf + 0 468.085 * * [simplify]: Extracting #4: cost 96 inf + 44 468.085 * * [simplify]: Extracting #5: cost 122 inf + 1023 468.086 * * [simplify]: Extracting #6: cost 170 inf + 2733 468.087 * * [simplify]: Extracting #7: cost 157 inf + 5543 468.090 * * [simplify]: Extracting #8: cost 92 inf + 23068 468.098 * * [simplify]: Extracting #9: cost 38 inf + 46056 468.112 * * [simplify]: Extracting #10: cost 10 inf + 68403 468.127 * * [simplify]: Extracting #11: cost 0 inf + 77827 468.143 * * [simplify]: Extracting #12: cost 0 inf + 77587 468.158 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 468.158 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 468.159 * * * * [progress]: [ 1378 / 5906 ] simplifiying candidate # 468.159 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 468.159 * * [simplify]: iters left: 6 (52 enodes) 468.172 * * [simplify]: iters left: 5 (254 enodes) 468.229 * * [simplify]: Extracting #0: cost 1 inf + 0 468.229 * * [simplify]: Extracting #1: cost 3 inf + 0 468.230 * * [simplify]: Extracting #2: cost 6 inf + 0 468.230 * * [simplify]: Extracting #3: cost 56 inf + 0 468.230 * * [simplify]: Extracting #4: cost 130 inf + 0 468.230 * * [simplify]: Extracting #5: cost 210 inf + 0 468.231 * * [simplify]: Extracting #6: cost 278 inf + 1011 468.233 * * [simplify]: Extracting #7: cost 202 inf + 16237 468.238 * * [simplify]: Extracting #8: cost 139 inf + 34787 468.247 * * [simplify]: Extracting #9: cost 94 inf + 50918 468.258 * * [simplify]: Extracting #10: cost 54 inf + 65172 468.279 * * [simplify]: Extracting #11: cost 13 inf + 104917 468.301 * * [simplify]: Extracting #12: cost 1 inf + 118337 468.325 * * [simplify]: Extracting #13: cost 0 inf + 120322 468.348 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 468.348 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 468.348 * * * * [progress]: [ 1379 / 5906 ] simplifiying candidate # 468.348 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 468.349 * * [simplify]: iters left: 6 (53 enodes) 468.362 * * [simplify]: iters left: 5 (263 enodes) 468.422 * * [simplify]: Extracting #0: cost 1 inf + 0 468.422 * * [simplify]: Extracting #1: cost 3 inf + 0 468.422 * * [simplify]: Extracting #2: cost 6 inf + 0 468.422 * * [simplify]: Extracting #3: cost 60 inf + 0 468.422 * * [simplify]: Extracting #4: cost 153 inf + 0 468.423 * * [simplify]: Extracting #5: cost 223 inf + 85 468.424 * * [simplify]: Extracting #6: cost 257 inf + 4687 468.427 * * [simplify]: Extracting #7: cost 205 inf + 15412 468.432 * * [simplify]: Extracting #8: cost 141 inf + 33929 468.443 * * [simplify]: Extracting #9: cost 93 inf + 58210 468.456 * * [simplify]: Extracting #10: cost 47 inf + 75966 468.475 * * [simplify]: Extracting #11: cost 7 inf + 116524 468.499 * * [simplify]: Extracting #12: cost 0 inf + 124379 468.522 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 468.522 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 468.523 * * * * [progress]: [ 1380 / 5906 ] simplifiying candidate # 468.523 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 468.523 * * [simplify]: iters left: 6 (53 enodes) 468.538 * * [simplify]: iters left: 5 (263 enodes) 468.599 * * [simplify]: Extracting #0: cost 1 inf + 0 468.599 * * [simplify]: Extracting #1: cost 3 inf + 0 468.599 * * [simplify]: Extracting #2: cost 6 inf + 0 468.599 * * [simplify]: Extracting #3: cost 62 inf + 0 468.599 * * [simplify]: Extracting #4: cost 151 inf + 0 468.600 * * [simplify]: Extracting #5: cost 221 inf + 2 468.601 * * [simplify]: Extracting #6: cost 259 inf + 4555 468.606 * * [simplify]: Extracting #7: cost 190 inf + 17574 468.613 * * [simplify]: Extracting #8: cost 120 inf + 39976 468.632 * * [simplify]: Extracting #9: cost 9 inf + 113710 468.655 * * [simplify]: Extracting #10: cost 0 inf + 122051 468.678 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 468.678 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 468.678 * * * * [progress]: [ 1381 / 5906 ] simplifiying candidate # 468.679 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 468.679 * * [simplify]: iters left: 6 (47 enodes) 468.691 * * [simplify]: iters left: 5 (227 enodes) 468.739 * * [simplify]: Extracting #0: cost 1 inf + 0 468.740 * * [simplify]: Extracting #1: cost 3 inf + 0 468.740 * * [simplify]: Extracting #2: cost 6 inf + 0 468.740 * * [simplify]: Extracting #3: cost 54 inf + 0 468.740 * * [simplify]: Extracting #4: cost 119 inf + 0 468.740 * * [simplify]: Extracting #5: cost 168 inf + 44 468.741 * * [simplify]: Extracting #6: cost 222 inf + 1400 468.743 * * [simplify]: Extracting #7: cost 178 inf + 8345 468.747 * * [simplify]: Extracting #8: cost 121 inf + 24772 468.755 * * [simplify]: Extracting #9: cost 55 inf + 52659 468.772 * * [simplify]: Extracting #10: cost 10 inf + 86526 468.791 * * [simplify]: Extracting #11: cost 1 inf + 95925 468.810 * * [simplify]: Extracting #12: cost 0 inf + 97790 468.829 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 468.829 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 468.830 * * * * [progress]: [ 1382 / 5906 ] simplifiying candidate # 468.830 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 468.830 * * [simplify]: iters left: 6 (52 enodes) 468.843 * * [simplify]: iters left: 5 (255 enodes) 468.900 * * [simplify]: Extracting #0: cost 1 inf + 0 468.900 * * [simplify]: Extracting #1: cost 3 inf + 0 468.900 * * [simplify]: Extracting #2: cost 10 inf + 0 468.900 * * [simplify]: Extracting #3: cost 74 inf + 0 468.901 * * [simplify]: Extracting #4: cost 137 inf + 1 468.901 * * [simplify]: Extracting #5: cost 189 inf + 248 468.902 * * [simplify]: Extracting #6: cost 233 inf + 3912 468.905 * * [simplify]: Extracting #7: cost 184 inf + 14277 468.910 * * [simplify]: Extracting #8: cost 140 inf + 28059 468.917 * * [simplify]: Extracting #9: cost 99 inf + 45119 468.928 * * [simplify]: Extracting #10: cost 41 inf + 69856 468.950 * * [simplify]: Extracting #11: cost 5 inf + 106636 468.974 * * [simplify]: Extracting #12: cost 0 inf + 114041 468.997 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 468.997 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 468.998 * * * * [progress]: [ 1383 / 5906 ] simplifiying candidate # 468.998 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 468.998 * * [simplify]: iters left: 6 (47 enodes) 469.010 * * [simplify]: iters left: 5 (227 enodes) 469.058 * * [simplify]: Extracting #0: cost 1 inf + 0 469.058 * * [simplify]: Extracting #1: cost 3 inf + 0 469.058 * * [simplify]: Extracting #2: cost 10 inf + 0 469.059 * * [simplify]: Extracting #3: cost 66 inf + 0 469.059 * * [simplify]: Extracting #4: cost 117 inf + 44 469.059 * * [simplify]: Extracting #5: cost 153 inf + 1186 469.060 * * [simplify]: Extracting #6: cost 210 inf + 3057 469.062 * * [simplify]: Extracting #7: cost 184 inf + 6968 469.066 * * [simplify]: Extracting #8: cost 121 inf + 22691 469.074 * * [simplify]: Extracting #9: cost 58 inf + 50459 469.087 * * [simplify]: Extracting #10: cost 11 inf + 82471 469.105 * * [simplify]: Extracting #11: cost 3 inf + 90045 469.124 * * [simplify]: Extracting #12: cost 1 inf + 93575 469.143 * * [simplify]: Extracting #13: cost 0 inf + 95360 469.161 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 469.161 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 469.161 * * * * [progress]: [ 1384 / 5906 ] simplifiying candidate # 469.162 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 469.162 * * [simplify]: iters left: 6 (52 enodes) 469.175 * * [simplify]: iters left: 5 (255 enodes) 469.233 * * [simplify]: Extracting #0: cost 1 inf + 0 469.233 * * [simplify]: Extracting #1: cost 3 inf + 0 469.233 * * [simplify]: Extracting #2: cost 10 inf + 0 469.233 * * [simplify]: Extracting #3: cost 74 inf + 0 469.233 * * [simplify]: Extracting #4: cost 137 inf + 1 469.234 * * [simplify]: Extracting #5: cost 189 inf + 248 469.235 * * [simplify]: Extracting #6: cost 237 inf + 2944 469.237 * * [simplify]: Extracting #7: cost 192 inf + 11655 469.242 * * [simplify]: Extracting #8: cost 140 inf + 28699 469.249 * * [simplify]: Extracting #9: cost 98 inf + 46304 469.260 * * [simplify]: Extracting #10: cost 41 inf + 70816 469.282 * * [simplify]: Extracting #11: cost 5 inf + 107596 469.306 * * [simplify]: Extracting #12: cost 0 inf + 115001 469.329 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 469.329 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 469.330 * * * * [progress]: [ 1385 / 5906 ] simplifiying candidate # 469.330 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 469.330 * * [simplify]: iters left: 6 (47 enodes) 469.342 * * [simplify]: iters left: 5 (227 enodes) 469.390 * * [simplify]: Extracting #0: cost 1 inf + 0 469.390 * * [simplify]: Extracting #1: cost 3 inf + 0 469.390 * * [simplify]: Extracting #2: cost 10 inf + 0 469.391 * * [simplify]: Extracting #3: cost 65 inf + 0 469.391 * * [simplify]: Extracting #4: cost 116 inf + 86 469.391 * * [simplify]: Extracting #5: cost 149 inf + 1674 469.392 * * [simplify]: Extracting #6: cost 210 inf + 3017 469.394 * * [simplify]: Extracting #7: cost 185 inf + 6807 469.398 * * [simplify]: Extracting #8: cost 124 inf + 22005 469.406 * * [simplify]: Extracting #9: cost 56 inf + 52187 469.419 * * [simplify]: Extracting #10: cost 11 inf + 82871 469.436 * * [simplify]: Extracting #11: cost 3 inf + 90445 469.456 * * [simplify]: Extracting #12: cost 1 inf + 93975 469.474 * * [simplify]: Extracting #13: cost 0 inf + 95760 469.492 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 469.492 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 469.493 * * * * [progress]: [ 1386 / 5906 ] simplifiying candidate # 469.493 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 469.494 * * [simplify]: iters left: 6 (51 enodes) 469.507 * * [simplify]: iters left: 5 (243 enodes) 469.562 * * [simplify]: Extracting #0: cost 1 inf + 0 469.562 * * [simplify]: Extracting #1: cost 3 inf + 0 469.562 * * [simplify]: Extracting #2: cost 6 inf + 0 469.562 * * [simplify]: Extracting #3: cost 56 inf + 0 469.563 * * [simplify]: Extracting #4: cost 130 inf + 0 469.563 * * [simplify]: Extracting #5: cost 207 inf + 0 469.564 * * [simplify]: Extracting #6: cost 260 inf + 2196 469.566 * * [simplify]: Extracting #7: cost 198 inf + 13309 469.571 * * [simplify]: Extracting #8: cost 139 inf + 32365 469.578 * * [simplify]: Extracting #9: cost 91 inf + 49445 469.588 * * [simplify]: Extracting #10: cost 53 inf + 63443 469.608 * * [simplify]: Extracting #11: cost 4 inf + 116548 469.633 * * [simplify]: Extracting #12: cost 1 inf + 121983 469.657 * * [simplify]: Extracting #13: cost 0 inf + 124088 469.681 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 469.681 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 469.681 * * * * [progress]: [ 1387 / 5906 ] simplifiying candidate # 469.682 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 469.682 * * [simplify]: iters left: 6 (52 enodes) 469.695 * * [simplify]: iters left: 5 (252 enodes) 469.750 * * [simplify]: Extracting #0: cost 1 inf + 0 469.750 * * [simplify]: Extracting #1: cost 3 inf + 0 469.750 * * [simplify]: Extracting #2: cost 6 inf + 0 469.750 * * [simplify]: Extracting #3: cost 60 inf + 0 469.751 * * [simplify]: Extracting #4: cost 153 inf + 0 469.751 * * [simplify]: Extracting #5: cost 221 inf + 44 469.752 * * [simplify]: Extracting #6: cost 239 inf + 5822 469.756 * * [simplify]: Extracting #7: cost 179 inf + 18241 469.761 * * [simplify]: Extracting #8: cost 142 inf + 30747 469.770 * * [simplify]: Extracting #9: cost 91 inf + 53999 469.783 * * [simplify]: Extracting #10: cost 49 inf + 70960 469.803 * * [simplify]: Extracting #11: cost 8 inf + 115265 469.827 * * [simplify]: Extracting #12: cost 1 inf + 123480 469.852 * * [simplify]: Extracting #13: cost 0 inf + 125665 469.877 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 469.877 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 469.877 * * * * [progress]: [ 1388 / 5906 ] simplifiying candidate # 469.877 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 469.878 * * [simplify]: iters left: 6 (52 enodes) 469.892 * * [simplify]: iters left: 5 (252 enodes) 469.946 * * [simplify]: Extracting #0: cost 1 inf + 0 469.946 * * [simplify]: Extracting #1: cost 3 inf + 0 469.946 * * [simplify]: Extracting #2: cost 6 inf + 0 469.947 * * [simplify]: Extracting #3: cost 62 inf + 0 469.947 * * [simplify]: Extracting #4: cost 151 inf + 0 469.947 * * [simplify]: Extracting #5: cost 217 inf + 44 469.948 * * [simplify]: Extracting #6: cost 255 inf + 2862 469.953 * * [simplify]: Extracting #7: cost 195 inf + 12995 469.957 * * [simplify]: Extracting #8: cost 148 inf + 25134 469.963 * * [simplify]: Extracting #9: cost 104 inf + 43258 469.973 * * [simplify]: Extracting #10: cost 50 inf + 68527 469.992 * * [simplify]: Extracting #11: cost 8 inf + 112897 470.015 * * [simplify]: Extracting #12: cost 1 inf + 122392 470.039 * * [simplify]: Extracting #13: cost 0 inf + 124577 470.063 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 470.063 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 470.064 * * * * [progress]: [ 1389 / 5906 ] simplifiying candidate # 470.064 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 470.065 * * [simplify]: iters left: 6 (46 enodes) 470.076 * * [simplify]: iters left: 5 (216 enodes) 470.122 * * [simplify]: Extracting #0: cost 1 inf + 0 470.122 * * [simplify]: Extracting #1: cost 3 inf + 0 470.122 * * [simplify]: Extracting #2: cost 6 inf + 0 470.122 * * [simplify]: Extracting #3: cost 54 inf + 0 470.124 * * [simplify]: Extracting #4: cost 119 inf + 0 470.125 * * [simplify]: Extracting #5: cost 164 inf + 85 470.125 * * [simplify]: Extracting #6: cost 205 inf + 2452 470.127 * * [simplify]: Extracting #7: cost 164 inf + 9510 470.132 * * [simplify]: Extracting #8: cost 108 inf + 29164 470.140 * * [simplify]: Extracting #9: cost 54 inf + 52472 470.155 * * [simplify]: Extracting #10: cost 15 inf + 84021 470.174 * * [simplify]: Extracting #11: cost 1 inf + 101051 470.194 * * [simplify]: Extracting #12: cost 0 inf + 103036 470.214 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 470.214 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 470.214 * * * * [progress]: [ 1390 / 5906 ] simplifiying candidate # 470.215 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 470.215 * * [simplify]: iters left: 6 (51 enodes) 470.229 * * [simplify]: iters left: 5 (244 enodes) 470.282 * * [simplify]: Extracting #0: cost 1 inf + 0 470.282 * * [simplify]: Extracting #1: cost 3 inf + 0 470.282 * * [simplify]: Extracting #2: cost 10 inf + 0 470.282 * * [simplify]: Extracting #3: cost 74 inf + 0 470.283 * * [simplify]: Extracting #4: cost 137 inf + 1 470.283 * * [simplify]: Extracting #5: cost 188 inf + 165 470.284 * * [simplify]: Extracting #6: cost 233 inf + 2211 470.286 * * [simplify]: Extracting #7: cost 177 inf + 12527 470.293 * * [simplify]: Extracting #8: cost 135 inf + 28419 470.299 * * [simplify]: Extracting #9: cost 94 inf + 44042 470.309 * * [simplify]: Extracting #10: cost 55 inf + 59152 470.326 * * [simplify]: Extracting #11: cost 7 inf + 106952 470.349 * * [simplify]: Extracting #12: cost 1 inf + 116342 470.374 * * [simplify]: Extracting #13: cost 0 inf + 118447 470.401 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 470.401 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 470.402 * * * * [progress]: [ 1391 / 5906 ] simplifiying candidate # 470.402 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 470.402 * * [simplify]: iters left: 6 (46 enodes) 470.414 * * [simplify]: iters left: 5 (216 enodes) 470.458 * * [simplify]: Extracting #0: cost 1 inf + 0 470.458 * * [simplify]: Extracting #1: cost 3 inf + 0 470.459 * * [simplify]: Extracting #2: cost 10 inf + 0 470.459 * * [simplify]: Extracting #3: cost 66 inf + 0 470.459 * * [simplify]: Extracting #4: cost 116 inf + 86 470.459 * * [simplify]: Extracting #5: cost 146 inf + 1634 470.460 * * [simplify]: Extracting #6: cost 197 inf + 3302 470.462 * * [simplify]: Extracting #7: cost 171 inf + 7130 470.466 * * [simplify]: Extracting #8: cost 104 inf + 29773 470.477 * * [simplify]: Extracting #9: cost 41 inf + 59647 470.493 * * [simplify]: Extracting #10: cost 6 inf + 92457 470.511 * * [simplify]: Extracting #11: cost 0 inf + 97046 470.529 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) 470.530 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 470.530 * * * * [progress]: [ 1392 / 5906 ] simplifiying candidate # 470.530 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 470.531 * * [simplify]: iters left: 6 (51 enodes) 470.543 * * [simplify]: iters left: 5 (244 enodes) 470.596 * * [simplify]: Extracting #0: cost 1 inf + 0 470.596 * * [simplify]: Extracting #1: cost 3 inf + 0 470.596 * * [simplify]: Extracting #2: cost 10 inf + 0 470.597 * * [simplify]: Extracting #3: cost 74 inf + 0 470.597 * * [simplify]: Extracting #4: cost 137 inf + 1 470.597 * * [simplify]: Extracting #5: cost 187 inf + 207 470.598 * * [simplify]: Extracting #6: cost 228 inf + 2740 470.600 * * [simplify]: Extracting #7: cost 176 inf + 12729 470.605 * * [simplify]: Extracting #8: cost 134 inf + 29303 470.612 * * [simplify]: Extracting #9: cost 94 inf + 44922 470.621 * * [simplify]: Extracting #10: cost 55 inf + 60112 470.641 * * [simplify]: Extracting #11: cost 7 inf + 107912 470.663 * * [simplify]: Extracting #12: cost 1 inf + 117302 470.687 * * [simplify]: Extracting #13: cost 0 inf + 119407 470.711 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 470.711 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 470.712 * * * * [progress]: [ 1393 / 5906 ] simplifiying candidate # 470.712 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 470.712 * * [simplify]: iters left: 6 (46 enodes) 470.724 * * [simplify]: iters left: 5 (216 enodes) 470.769 * * [simplify]: Extracting #0: cost 1 inf + 0 470.769 * * [simplify]: Extracting #1: cost 3 inf + 0 470.769 * * [simplify]: Extracting #2: cost 10 inf + 0 470.769 * * [simplify]: Extracting #3: cost 65 inf + 0 470.769 * * [simplify]: Extracting #4: cost 117 inf + 44 470.770 * * [simplify]: Extracting #5: cost 150 inf + 1026 470.771 * * [simplify]: Extracting #6: cost 197 inf + 3302 470.772 * * [simplify]: Extracting #7: cost 169 inf + 7373 470.776 * * [simplify]: Extracting #8: cost 104 inf + 29793 470.786 * * [simplify]: Extracting #9: cost 41 inf + 60047 470.801 * * [simplify]: Extracting #10: cost 4 inf + 93532 470.822 * * [simplify]: Extracting #11: cost 0 inf + 97446 470.840 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 470.840 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 470.841 * * * * [progress]: [ 1394 / 5906 ] simplifiying candidate # 470.841 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 470.841 * * [simplify]: iters left: 6 (48 enodes) 470.854 * * [simplify]: iters left: 5 (230 enodes) 470.905 * * [simplify]: Extracting #0: cost 1 inf + 0 470.905 * * [simplify]: Extracting #1: cost 3 inf + 0 470.905 * * [simplify]: Extracting #2: cost 6 inf + 0 470.905 * * [simplify]: Extracting #3: cost 54 inf + 0 470.906 * * [simplify]: Extracting #4: cost 120 inf + 0 470.906 * * [simplify]: Extracting #5: cost 188 inf + 0 470.907 * * [simplify]: Extracting #6: cost 253 inf + 89 470.908 * * [simplify]: Extracting #7: cost 209 inf + 6272 470.911 * * [simplify]: Extracting #8: cost 140 inf + 21486 470.917 * * [simplify]: Extracting #9: cost 84 inf + 41873 470.927 * * [simplify]: Extracting #10: cost 40 inf + 62738 470.946 * * [simplify]: Extracting #11: cost 4 inf + 101678 470.967 * * [simplify]: Extracting #12: cost 0 inf + 106898 470.990 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))))) 470.990 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 470.991 * * * * [progress]: [ 1395 / 5906 ] simplifiying candidate # 470.991 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 470.991 * * [simplify]: iters left: 6 (49 enodes) 471.005 * * [simplify]: iters left: 5 (239 enodes) 471.059 * * [simplify]: Extracting #0: cost 1 inf + 0 471.059 * * [simplify]: Extracting #1: cost 3 inf + 0 471.059 * * [simplify]: Extracting #2: cost 6 inf + 0 471.059 * * [simplify]: Extracting #3: cost 58 inf + 0 471.060 * * [simplify]: Extracting #4: cost 143 inf + 0 471.060 * * [simplify]: Extracting #5: cost 198 inf + 291 471.062 * * [simplify]: Extracting #6: cost 216 inf + 7145 471.064 * * [simplify]: Extracting #7: cost 185 inf + 14094 471.068 * * [simplify]: Extracting #8: cost 131 inf + 27480 471.075 * * [simplify]: Extracting #9: cost 85 inf + 46483 471.084 * * [simplify]: Extracting #10: cost 54 inf + 58045 471.095 * * [simplify]: Extracting #11: cost 34 inf + 71425 471.114 * * [simplify]: Extracting #12: cost 2 inf + 106465 471.135 * * [simplify]: Extracting #13: cost 0 inf + 109515 471.157 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))) 471.157 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 471.157 * * * * [progress]: [ 1396 / 5906 ] simplifiying candidate # 471.157 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 471.158 * * [simplify]: iters left: 6 (49 enodes) 471.170 * * [simplify]: iters left: 5 (239 enodes) 471.224 * * [simplify]: Extracting #0: cost 1 inf + 0 471.225 * * [simplify]: Extracting #1: cost 3 inf + 0 471.225 * * [simplify]: Extracting #2: cost 6 inf + 0 471.225 * * [simplify]: Extracting #3: cost 60 inf + 0 471.225 * * [simplify]: Extracting #4: cost 141 inf + 0 471.225 * * [simplify]: Extracting #5: cost 196 inf + 166 471.226 * * [simplify]: Extracting #6: cost 220 inf + 5287 471.229 * * [simplify]: Extracting #7: cost 182 inf + 14875 471.233 * * [simplify]: Extracting #8: cost 125 inf + 29700 471.240 * * [simplify]: Extracting #9: cost 86 inf + 45153 471.250 * * [simplify]: Extracting #10: cost 38 inf + 67757 471.268 * * [simplify]: Extracting #11: cost 2 inf + 103977 471.288 * * [simplify]: Extracting #12: cost 0 inf + 107027 471.311 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 471.311 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 471.311 * * * * [progress]: [ 1397 / 5906 ] simplifiying candidate # 471.312 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 471.312 * * [simplify]: iters left: 6 (43 enodes) 471.323 * * [simplify]: iters left: 5 (203 enodes) 471.364 * * [simplify]: Extracting #0: cost 1 inf + 0 471.364 * * [simplify]: Extracting #1: cost 3 inf + 0 471.364 * * [simplify]: Extracting #2: cost 6 inf + 0 471.365 * * [simplify]: Extracting #3: cost 52 inf + 0 471.365 * * [simplify]: Extracting #4: cost 109 inf + 0 471.365 * * [simplify]: Extracting #5: cost 142 inf + 250 471.366 * * [simplify]: Extracting #6: cost 186 inf + 2047 471.367 * * [simplify]: Extracting #7: cost 162 inf + 6926 471.371 * * [simplify]: Extracting #8: cost 101 inf + 23513 471.381 * * [simplify]: Extracting #9: cost 44 inf + 49189 471.393 * * [simplify]: Extracting #10: cost 11 inf + 72828 471.408 * * [simplify]: Extracting #11: cost 0 inf + 83526 471.424 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) 471.424 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 471.424 * * * * [progress]: [ 1398 / 5906 ] simplifiying candidate # 471.425 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 471.425 * * [simplify]: iters left: 6 (48 enodes) 471.437 * * [simplify]: iters left: 5 (231 enodes) 471.488 * * [simplify]: Extracting #0: cost 1 inf + 0 471.488 * * [simplify]: Extracting #1: cost 3 inf + 0 471.488 * * [simplify]: Extracting #2: cost 10 inf + 0 471.488 * * [simplify]: Extracting #3: cost 72 inf + 0 471.488 * * [simplify]: Extracting #4: cost 126 inf + 42 471.488 * * [simplify]: Extracting #5: cost 168 inf + 207 471.489 * * [simplify]: Extracting #6: cost 215 inf + 1924 471.491 * * [simplify]: Extracting #7: cost 186 inf + 8379 471.495 * * [simplify]: Extracting #8: cost 112 inf + 29510 471.504 * * [simplify]: Extracting #9: cost 38 inf + 62650 471.519 * * [simplify]: Extracting #10: cost 4 inf + 91557 471.538 * * [simplify]: Extracting #11: cost 0 inf + 97217 471.559 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 471.559 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 471.559 * * * * [progress]: [ 1399 / 5906 ] simplifiying candidate # 471.559 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 471.560 * * [simplify]: iters left: 6 (43 enodes) 471.571 * * [simplify]: iters left: 5 (203 enodes) 471.612 * * [simplify]: Extracting #0: cost 1 inf + 0 471.612 * * [simplify]: Extracting #1: cost 3 inf + 0 471.612 * * [simplify]: Extracting #2: cost 10 inf + 0 471.612 * * [simplify]: Extracting #3: cost 64 inf + 0 471.612 * * [simplify]: Extracting #4: cost 106 inf + 86 471.613 * * [simplify]: Extracting #5: cost 131 inf + 1107 471.614 * * [simplify]: Extracting #6: cost 180 inf + 2895 471.615 * * [simplify]: Extracting #7: cost 160 inf + 7287 471.619 * * [simplify]: Extracting #8: cost 103 inf + 22255 471.633 * * [simplify]: Extracting #9: cost 24 inf + 65463 471.649 * * [simplify]: Extracting #10: cost 4 inf + 79357 471.664 * * [simplify]: Extracting #11: cost 0 inf + 80216 471.680 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))))) 471.680 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 471.680 * * * * [progress]: [ 1400 / 5906 ] simplifiying candidate # 471.681 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 471.681 * * [simplify]: iters left: 6 (48 enodes) 471.693 * * [simplify]: iters left: 5 (231 enodes) 471.743 * * [simplify]: Extracting #0: cost 1 inf + 0 471.743 * * [simplify]: Extracting #1: cost 3 inf + 0 471.743 * * [simplify]: Extracting #2: cost 10 inf + 0 471.743 * * [simplify]: Extracting #3: cost 72 inf + 0 471.743 * * [simplify]: Extracting #4: cost 126 inf + 42 471.744 * * [simplify]: Extracting #5: cost 166 inf + 290 471.745 * * [simplify]: Extracting #6: cost 213 inf + 2247 471.746 * * [simplify]: Extracting #7: cost 186 inf + 8219 471.750 * * [simplify]: Extracting #8: cost 111 inf + 29789 471.759 * * [simplify]: Extracting #9: cost 38 inf + 63530 471.775 * * [simplify]: Extracting #10: cost 4 inf + 92437 471.796 * * [simplify]: Extracting #11: cost 0 inf + 98097 471.814 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 471.814 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 471.815 * * * * [progress]: [ 1401 / 5906 ] simplifiying candidate # 471.815 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 471.815 * * [simplify]: iters left: 6 (43 enodes) 471.826 * * [simplify]: iters left: 5 (203 enodes) 471.867 * * [simplify]: Extracting #0: cost 1 inf + 0 471.867 * * [simplify]: Extracting #1: cost 3 inf + 0 471.867 * * [simplify]: Extracting #2: cost 10 inf + 0 471.868 * * [simplify]: Extracting #3: cost 63 inf + 0 471.868 * * [simplify]: Extracting #4: cost 107 inf + 44 471.868 * * [simplify]: Extracting #5: cost 134 inf + 821 471.871 * * [simplify]: Extracting #6: cost 180 inf + 2814 471.873 * * [simplify]: Extracting #7: cost 158 inf + 7530 471.876 * * [simplify]: Extracting #8: cost 101 inf + 22441 471.886 * * [simplify]: Extracting #9: cost 26 inf + 61973 471.900 * * [simplify]: Extracting #10: cost 6 inf + 75134 471.916 * * [simplify]: Extracting #11: cost 0 inf + 80616 471.932 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))))) 471.932 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 471.932 * * * * [progress]: [ 1402 / 5906 ] simplifiying candidate # 471.933 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 471.933 * * [simplify]: iters left: 6 (51 enodes) 471.947 * * [simplify]: iters left: 5 (244 enodes) 472.001 * * [simplify]: Extracting #0: cost 1 inf + 0 472.001 * * [simplify]: Extracting #1: cost 3 inf + 0 472.001 * * [simplify]: Extracting #2: cost 6 inf + 0 472.001 * * [simplify]: Extracting #3: cost 56 inf + 0 472.001 * * [simplify]: Extracting #4: cost 130 inf + 0 472.002 * * [simplify]: Extracting #5: cost 206 inf + 0 472.002 * * [simplify]: Extracting #6: cost 258 inf + 2680 472.005 * * [simplify]: Extracting #7: cost 189 inf + 19167 472.011 * * [simplify]: Extracting #8: cost 129 inf + 43077 472.019 * * [simplify]: Extracting #9: cost 91 inf + 49983 472.032 * * [simplify]: Extracting #10: cost 47 inf + 68993 472.051 * * [simplify]: Extracting #11: cost 4 inf + 115588 472.074 * * [simplify]: Extracting #12: cost 1 inf + 120943 472.097 * * [simplify]: Extracting #13: cost 0 inf + 123008 472.121 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 472.121 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 472.121 * * * * [progress]: [ 1403 / 5906 ] simplifiying candidate # 472.122 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 472.122 * * [simplify]: iters left: 6 (52 enodes) 472.137 * * [simplify]: iters left: 5 (253 enodes) 472.191 * * [simplify]: Extracting #0: cost 1 inf + 0 472.191 * * [simplify]: Extracting #1: cost 3 inf + 0 472.191 * * [simplify]: Extracting #2: cost 6 inf + 0 472.191 * * [simplify]: Extracting #3: cost 60 inf + 0 472.191 * * [simplify]: Extracting #4: cost 153 inf + 0 472.192 * * [simplify]: Extracting #5: cost 220 inf + 44 472.193 * * [simplify]: Extracting #6: cost 248 inf + 4526 472.196 * * [simplify]: Extracting #7: cost 186 inf + 15421 472.204 * * [simplify]: Extracting #8: cost 132 inf + 38402 472.213 * * [simplify]: Extracting #9: cost 89 inf + 56090 472.226 * * [simplify]: Extracting #10: cost 40 inf + 78625 472.247 * * [simplify]: Extracting #11: cost 3 inf + 120670 472.272 * * [simplify]: Extracting #12: cost 1 inf + 124920 472.296 * * [simplify]: Extracting #13: cost 0 inf + 127105 472.321 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 472.322 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 472.322 * * * * [progress]: [ 1404 / 5906 ] simplifiying candidate # 472.322 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 472.323 * * [simplify]: iters left: 6 (52 enodes) 472.336 * * [simplify]: iters left: 5 (253 enodes) 472.393 * * [simplify]: Extracting #0: cost 1 inf + 0 472.393 * * [simplify]: Extracting #1: cost 3 inf + 0 472.393 * * [simplify]: Extracting #2: cost 6 inf + 0 472.393 * * [simplify]: Extracting #3: cost 62 inf + 0 472.393 * * [simplify]: Extracting #4: cost 151 inf + 0 472.394 * * [simplify]: Extracting #5: cost 216 inf + 44 472.395 * * [simplify]: Extracting #6: cost 255 inf + 2704 472.397 * * [simplify]: Extracting #7: cost 191 inf + 13924 472.401 * * [simplify]: Extracting #8: cost 148 inf + 25124 472.407 * * [simplify]: Extracting #9: cost 111 inf + 40569 472.418 * * [simplify]: Extracting #10: cost 54 inf + 66507 472.436 * * [simplify]: Extracting #11: cost 8 inf + 112057 472.461 * * [simplify]: Extracting #12: cost 1 inf + 120152 472.484 * * [simplify]: Extracting #13: cost 0 inf + 122257 472.507 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 472.507 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 472.508 * * * * [progress]: [ 1405 / 5906 ] simplifiying candidate # 472.508 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 472.509 * * [simplify]: iters left: 6 (46 enodes) 472.520 * * [simplify]: iters left: 5 (217 enodes) 472.570 * * [simplify]: Extracting #0: cost 1 inf + 0 472.570 * * [simplify]: Extracting #1: cost 3 inf + 0 472.570 * * [simplify]: Extracting #2: cost 6 inf + 0 472.570 * * [simplify]: Extracting #3: cost 54 inf + 0 472.570 * * [simplify]: Extracting #4: cost 119 inf + 0 472.570 * * [simplify]: Extracting #5: cost 162 inf + 127 472.571 * * [simplify]: Extracting #6: cost 204 inf + 2493 472.573 * * [simplify]: Extracting #7: cost 167 inf + 8625 472.578 * * [simplify]: Extracting #8: cost 102 inf + 32244 472.587 * * [simplify]: Extracting #9: cost 55 inf + 52447 472.602 * * [simplify]: Extracting #10: cost 10 inf + 88266 472.621 * * [simplify]: Extracting #11: cost 0 inf + 100036 472.643 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 472.643 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 472.643 * * * * [progress]: [ 1406 / 5906 ] simplifiying candidate # 472.644 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 472.644 * * [simplify]: iters left: 6 (51 enodes) 472.657 * * [simplify]: iters left: 5 (245 enodes) 472.709 * * [simplify]: Extracting #0: cost 1 inf + 0 472.709 * * [simplify]: Extracting #1: cost 3 inf + 0 472.709 * * [simplify]: Extracting #2: cost 10 inf + 0 472.709 * * [simplify]: Extracting #3: cost 74 inf + 0 472.709 * * [simplify]: Extracting #4: cost 136 inf + 42 472.710 * * [simplify]: Extracting #5: cost 185 inf + 249 472.711 * * [simplify]: Extracting #6: cost 231 inf + 2335 472.715 * * [simplify]: Extracting #7: cost 180 inf + 12294 472.720 * * [simplify]: Extracting #8: cost 134 inf + 31417 472.726 * * [simplify]: Extracting #9: cost 101 inf + 43697 472.736 * * [simplify]: Extracting #10: cost 57 inf + 58902 472.748 * * [simplify]: Extracting #11: cost 28 inf + 82307 472.769 * * [simplify]: Extracting #12: cost 4 inf + 110467 472.791 * * [simplify]: Extracting #13: cost 1 inf + 115702 472.815 * * [simplify]: Extracting #14: cost 0 inf + 117767 472.838 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 472.838 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 472.838 * * * * [progress]: [ 1407 / 5906 ] simplifiying candidate # 472.839 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 472.839 * * [simplify]: iters left: 6 (46 enodes) 472.850 * * [simplify]: iters left: 5 (217 enodes) 472.899 * * [simplify]: Extracting #0: cost 1 inf + 0 472.899 * * [simplify]: Extracting #1: cost 3 inf + 0 472.899 * * [simplify]: Extracting #2: cost 10 inf + 0 472.899 * * [simplify]: Extracting #3: cost 66 inf + 0 472.899 * * [simplify]: Extracting #4: cost 117 inf + 44 472.899 * * [simplify]: Extracting #5: cost 149 inf + 1026 472.900 * * [simplify]: Extracting #6: cost 197 inf + 3302 472.902 * * [simplify]: Extracting #7: cost 151 inf + 13215 472.908 * * [simplify]: Extracting #8: cost 89 inf + 39497 472.917 * * [simplify]: Extracting #9: cost 50 inf + 54982 472.929 * * [simplify]: Extracting #10: cost 17 inf + 75501 472.946 * * [simplify]: Extracting #11: cost 3 inf + 90371 472.964 * * [simplify]: Extracting #12: cost 0 inf + 95806 472.984 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 472.985 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 472.985 * * * * [progress]: [ 1408 / 5906 ] simplifiying candidate # 472.985 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 472.986 * * [simplify]: iters left: 6 (51 enodes) 472.998 * * [simplify]: iters left: 5 (245 enodes) 473.050 * * [simplify]: Extracting #0: cost 1 inf + 0 473.050 * * [simplify]: Extracting #1: cost 3 inf + 0 473.050 * * [simplify]: Extracting #2: cost 10 inf + 0 473.050 * * [simplify]: Extracting #3: cost 74 inf + 0 473.051 * * [simplify]: Extracting #4: cost 136 inf + 42 473.051 * * [simplify]: Extracting #5: cost 186 inf + 207 473.052 * * [simplify]: Extracting #6: cost 230 inf + 2697 473.056 * * [simplify]: Extracting #7: cost 179 inf + 12094 473.061 * * [simplify]: Extracting #8: cost 135 inf + 30693 473.068 * * [simplify]: Extracting #9: cost 100 inf + 44840 473.077 * * [simplify]: Extracting #10: cost 58 inf + 59357 473.090 * * [simplify]: Extracting #11: cost 29 inf + 82242 473.110 * * [simplify]: Extracting #12: cost 4 inf + 111427 473.133 * * [simplify]: Extracting #13: cost 1 inf + 116662 473.157 * * [simplify]: Extracting #14: cost 0 inf + 118727 473.180 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 473.180 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 473.181 * * * * [progress]: [ 1409 / 5906 ] simplifiying candidate # 473.181 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 473.181 * * [simplify]: iters left: 6 (46 enodes) 473.193 * * [simplify]: iters left: 5 (217 enodes) 473.242 * * [simplify]: Extracting #0: cost 1 inf + 0 473.242 * * [simplify]: Extracting #1: cost 3 inf + 0 473.242 * * [simplify]: Extracting #2: cost 10 inf + 0 473.242 * * [simplify]: Extracting #3: cost 65 inf + 0 473.242 * * [simplify]: Extracting #4: cost 117 inf + 44 473.243 * * [simplify]: Extracting #5: cost 144 inf + 1756 473.244 * * [simplify]: Extracting #6: cost 197 inf + 3302 473.246 * * [simplify]: Extracting #7: cost 152 inf + 12891 473.251 * * [simplify]: Extracting #8: cost 89 inf + 41154 473.261 * * [simplify]: Extracting #9: cost 49 inf + 56127 473.271 * * [simplify]: Extracting #10: cost 24 inf + 68846 473.287 * * [simplify]: Extracting #11: cost 3 inf + 90091 473.305 * * [simplify]: Extracting #12: cost 0 inf + 95406 473.325 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 473.325 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 473.325 * * * * [progress]: [ 1410 / 5906 ] simplifiying candidate # 473.326 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 473.326 * * [simplify]: iters left: 6 (50 enodes) 473.339 * * [simplify]: iters left: 5 (239 enodes) 473.390 * * [simplify]: Extracting #0: cost 1 inf + 0 473.390 * * [simplify]: Extracting #1: cost 3 inf + 0 473.390 * * [simplify]: Extracting #2: cost 6 inf + 0 473.390 * * [simplify]: Extracting #3: cost 57 inf + 0 473.390 * * [simplify]: Extracting #4: cost 128 inf + 0 473.390 * * [simplify]: Extracting #5: cost 195 inf + 0 473.391 * * [simplify]: Extracting #6: cost 257 inf + 2739 473.395 * * [simplify]: Extracting #7: cost 204 inf + 12127 473.399 * * [simplify]: Extracting #8: cost 139 inf + 26920 473.406 * * [simplify]: Extracting #9: cost 95 inf + 43978 473.416 * * [simplify]: Extracting #10: cost 41 inf + 68735 473.435 * * [simplify]: Extracting #11: cost 3 inf + 109205 473.456 * * [simplify]: Extracting #12: cost 0 inf + 114040 473.478 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 473.478 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 473.479 * * * * [progress]: [ 1411 / 5906 ] simplifiying candidate # 473.479 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 473.479 * * [simplify]: iters left: 6 (51 enodes) 473.495 * * [simplify]: iters left: 5 (248 enodes) 473.549 * * [simplify]: Extracting #0: cost 1 inf + 0 473.549 * * [simplify]: Extracting #1: cost 3 inf + 0 473.549 * * [simplify]: Extracting #2: cost 6 inf + 0 473.549 * * [simplify]: Extracting #3: cost 61 inf + 0 473.550 * * [simplify]: Extracting #4: cost 151 inf + 0 473.550 * * [simplify]: Extracting #5: cost 209 inf + 44 473.551 * * [simplify]: Extracting #6: cost 240 inf + 4844 473.554 * * [simplify]: Extracting #7: cost 196 inf + 13275 473.561 * * [simplify]: Extracting #8: cost 137 inf + 29725 473.568 * * [simplify]: Extracting #9: cost 93 inf + 49925 473.582 * * [simplify]: Extracting #10: cost 28 inf + 86557 473.601 * * [simplify]: Extracting #11: cost 4 inf + 109677 473.622 * * [simplify]: Extracting #12: cost 0 inf + 113697 473.644 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2)))))) 473.644 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 473.644 * * * * [progress]: [ 1412 / 5906 ] simplifiying candidate # 473.644 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 473.645 * * [simplify]: iters left: 6 (51 enodes) 473.659 * * [simplify]: iters left: 5 (248 enodes) 473.712 * * [simplify]: Extracting #0: cost 1 inf + 0 473.712 * * [simplify]: Extracting #1: cost 3 inf + 0 473.712 * * [simplify]: Extracting #2: cost 6 inf + 0 473.712 * * [simplify]: Extracting #3: cost 63 inf + 0 473.713 * * [simplify]: Extracting #4: cost 149 inf + 0 473.713 * * [simplify]: Extracting #5: cost 205 inf + 44 473.714 * * [simplify]: Extracting #6: cost 242 inf + 3712 473.717 * * [simplify]: Extracting #7: cost 191 inf + 13879 473.722 * * [simplify]: Extracting #8: cost 147 inf + 23481 473.728 * * [simplify]: Extracting #9: cost 105 inf + 39712 473.743 * * [simplify]: Extracting #10: cost 19 inf + 92094 473.763 * * [simplify]: Extracting #11: cost 1 inf + 109424 473.784 * * [simplify]: Extracting #12: cost 0 inf + 111249 473.806 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 473.806 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 473.807 * * * * [progress]: [ 1413 / 5906 ] simplifiying candidate # 473.807 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 473.807 * * [simplify]: iters left: 6 (45 enodes) 473.820 * * [simplify]: iters left: 5 (212 enodes) 473.864 * * [simplify]: Extracting #0: cost 1 inf + 0 473.864 * * [simplify]: Extracting #1: cost 3 inf + 0 473.864 * * [simplify]: Extracting #2: cost 6 inf + 0 473.864 * * [simplify]: Extracting #3: cost 55 inf + 0 473.865 * * [simplify]: Extracting #4: cost 117 inf + 0 473.865 * * [simplify]: Extracting #5: cost 153 inf + 44 473.866 * * [simplify]: Extracting #6: cost 205 inf + 1117 473.867 * * [simplify]: Extracting #7: cost 171 inf + 7369 473.871 * * [simplify]: Extracting #8: cost 125 inf + 21773 473.877 * * [simplify]: Extracting #9: cost 85 inf + 38018 473.891 * * [simplify]: Extracting #10: cost 15 inf + 77377 473.908 * * [simplify]: Extracting #11: cost 0 inf + 90468 473.925 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 473.926 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 473.926 * * * * [progress]: [ 1414 / 5906 ] simplifiying candidate # 473.926 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 473.927 * * [simplify]: iters left: 6 (50 enodes) 473.940 * * [simplify]: iters left: 5 (240 enodes) 473.993 * * [simplify]: Extracting #0: cost 1 inf + 0 473.993 * * [simplify]: Extracting #1: cost 3 inf + 0 473.993 * * [simplify]: Extracting #2: cost 10 inf + 0 473.993 * * [simplify]: Extracting #3: cost 75 inf + 0 473.993 * * [simplify]: Extracting #4: cost 142 inf + 1 473.994 * * [simplify]: Extracting #5: cost 181 inf + 249 473.995 * * [simplify]: Extracting #6: cost 226 inf + 3183 473.997 * * [simplify]: Extracting #7: cost 188 inf + 11973 474.002 * * [simplify]: Extracting #8: cost 116 inf + 33516 474.018 * * [simplify]: Extracting #9: cost 10 inf + 98065 474.041 * * [simplify]: Extracting #10: cost 1 inf + 106389 474.067 * * [simplify]: Extracting #11: cost 0 inf + 107814 474.089 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 474.089 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 474.089 * * * * [progress]: [ 1415 / 5906 ] simplifiying candidate # 474.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 474.090 * * [simplify]: iters left: 6 (45 enodes) 474.101 * * [simplify]: iters left: 5 (212 enodes) 474.146 * * [simplify]: Extracting #0: cost 1 inf + 0 474.146 * * [simplify]: Extracting #1: cost 3 inf + 0 474.146 * * [simplify]: Extracting #2: cost 10 inf + 0 474.146 * * [simplify]: Extracting #3: cost 67 inf + 0 474.146 * * [simplify]: Extracting #4: cost 121 inf + 86 474.147 * * [simplify]: Extracting #5: cost 141 inf + 1714 474.147 * * [simplify]: Extracting #6: cost 199 inf + 2976 474.149 * * [simplify]: Extracting #7: cost 180 inf + 7325 474.154 * * [simplify]: Extracting #8: cost 96 inf + 34017 474.163 * * [simplify]: Extracting #9: cost 35 inf + 63284 474.178 * * [simplify]: Extracting #10: cost 2 inf + 87403 474.194 * * [simplify]: Extracting #11: cost 1 inf + 88948 474.211 * * [simplify]: Extracting #12: cost 0 inf + 90493 474.227 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 474.227 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 474.228 * * * * [progress]: [ 1416 / 5906 ] simplifiying candidate # 474.228 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 474.229 * * [simplify]: iters left: 6 (50 enodes) 474.242 * * [simplify]: iters left: 5 (240 enodes) 474.293 * * [simplify]: Extracting #0: cost 1 inf + 0 474.293 * * [simplify]: Extracting #1: cost 3 inf + 0 474.293 * * [simplify]: Extracting #2: cost 10 inf + 0 474.293 * * [simplify]: Extracting #3: cost 75 inf + 0 474.293 * * [simplify]: Extracting #4: cost 142 inf + 1 474.294 * * [simplify]: Extracting #5: cost 182 inf + 207 474.294 * * [simplify]: Extracting #6: cost 227 inf + 2981 474.297 * * [simplify]: Extracting #7: cost 188 inf + 12173 474.302 * * [simplify]: Extracting #8: cost 113 inf + 34929 474.319 * * [simplify]: Extracting #9: cost 11 inf + 97960 474.340 * * [simplify]: Extracting #10: cost 1 inf + 107349 474.362 * * [simplify]: Extracting #11: cost 0 inf + 108774 474.385 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 474.385 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 474.386 * * * * [progress]: [ 1417 / 5906 ] simplifiying candidate # 474.386 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 474.386 * * [simplify]: iters left: 6 (45 enodes) 474.398 * * [simplify]: iters left: 5 (212 enodes) 474.442 * * [simplify]: Extracting #0: cost 1 inf + 0 474.442 * * [simplify]: Extracting #1: cost 3 inf + 0 474.442 * * [simplify]: Extracting #2: cost 10 inf + 0 474.442 * * [simplify]: Extracting #3: cost 66 inf + 0 474.442 * * [simplify]: Extracting #4: cost 122 inf + 44 474.442 * * [simplify]: Extracting #5: cost 146 inf + 985 474.443 * * [simplify]: Extracting #6: cost 199 inf + 2976 474.445 * * [simplify]: Extracting #7: cost 181 inf + 7001 474.449 * * [simplify]: Extracting #8: cost 103 inf + 31210 474.458 * * [simplify]: Extracting #9: cost 37 inf + 62756 474.473 * * [simplify]: Extracting #10: cost 2 inf + 87803 474.491 * * [simplify]: Extracting #11: cost 1 inf + 89348 474.507 * * [simplify]: Extracting #12: cost 0 inf + 90893 474.524 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 474.524 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 474.524 * * * * [progress]: [ 1418 / 5906 ] simplifiying candidate # 474.525 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 474.525 * * [simplify]: iters left: 6 (52 enodes) 474.538 * * [simplify]: iters left: 5 (254 enodes) 474.596 * * [simplify]: Extracting #0: cost 1 inf + 0 474.596 * * [simplify]: Extracting #1: cost 3 inf + 0 474.596 * * [simplify]: Extracting #2: cost 6 inf + 0 474.596 * * [simplify]: Extracting #3: cost 56 inf + 0 474.596 * * [simplify]: Extracting #4: cost 130 inf + 0 474.597 * * [simplify]: Extracting #5: cost 215 inf + 0 474.597 * * [simplify]: Extracting #6: cost 304 inf + 933 474.599 * * [simplify]: Extracting #7: cost 249 inf + 9649 474.604 * * [simplify]: Extracting #8: cost 156 inf + 34627 474.612 * * [simplify]: Extracting #9: cost 95 inf + 54990 474.624 * * [simplify]: Extracting #10: cost 54 inf + 71898 474.639 * * [simplify]: Extracting #11: cost 39 inf + 81873 474.660 * * [simplify]: Extracting #12: cost 8 inf + 118848 474.686 * * [simplify]: Extracting #13: cost 1 inf + 128663 474.712 * * [simplify]: Extracting #14: cost 0 inf + 130768 474.737 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 474.737 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 474.738 * * * * [progress]: [ 1419 / 5906 ] simplifiying candidate # 474.738 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 474.739 * * [simplify]: iters left: 6 (53 enodes) 474.754 * * [simplify]: iters left: 5 (263 enodes) 474.811 * * [simplify]: Extracting #0: cost 1 inf + 0 474.812 * * [simplify]: Extracting #1: cost 3 inf + 0 474.812 * * [simplify]: Extracting #2: cost 6 inf + 0 474.812 * * [simplify]: Extracting #3: cost 60 inf + 0 474.814 * * [simplify]: Extracting #4: cost 153 inf + 0 474.815 * * [simplify]: Extracting #5: cost 228 inf + 86 474.816 * * [simplify]: Extracting #6: cost 284 inf + 4036 474.818 * * [simplify]: Extracting #7: cost 260 inf + 9052 474.822 * * [simplify]: Extracting #8: cost 174 inf + 27032 474.833 * * [simplify]: Extracting #9: cost 70 inf + 67997 474.854 * * [simplify]: Extracting #10: cost 11 inf + 121950 474.880 * * [simplify]: Extracting #11: cost 0 inf + 133625 474.907 * * [simplify]: Extracting #12: cost 0 inf + 133465 474.933 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 474.934 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 474.934 * * * * [progress]: [ 1420 / 5906 ] simplifiying candidate # 474.934 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 474.935 * * [simplify]: iters left: 6 (53 enodes) 474.948 * * [simplify]: iters left: 5 (263 enodes) 475.011 * * [simplify]: Extracting #0: cost 1 inf + 0 475.011 * * [simplify]: Extracting #1: cost 3 inf + 0 475.011 * * [simplify]: Extracting #2: cost 6 inf + 0 475.011 * * [simplify]: Extracting #3: cost 62 inf + 0 475.011 * * [simplify]: Extracting #4: cost 151 inf + 0 475.012 * * [simplify]: Extracting #5: cost 224 inf + 86 475.013 * * [simplify]: Extracting #6: cost 280 inf + 4556 475.016 * * [simplify]: Extracting #7: cost 237 inf + 12451 475.020 * * [simplify]: Extracting #8: cost 172 inf + 27128 475.029 * * [simplify]: Extracting #9: cost 100 inf + 55363 475.042 * * [simplify]: Extracting #10: cost 53 inf + 77574 475.056 * * [simplify]: Extracting #11: cost 37 inf + 86052 475.081 * * [simplify]: Extracting #12: cost 4 inf + 124437 475.107 * * [simplify]: Extracting #13: cost 0 inf + 131137 475.133 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 475.133 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 475.134 * * * * [progress]: [ 1421 / 5906 ] simplifiying candidate # 475.134 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 475.134 * * [simplify]: iters left: 6 (47 enodes) 475.146 * * [simplify]: iters left: 5 (227 enodes) 475.195 * * [simplify]: Extracting #0: cost 1 inf + 0 475.195 * * [simplify]: Extracting #1: cost 3 inf + 0 475.195 * * [simplify]: Extracting #2: cost 6 inf + 0 475.195 * * [simplify]: Extracting #3: cost 54 inf + 0 475.196 * * [simplify]: Extracting #4: cost 119 inf + 0 475.196 * * [simplify]: Extracting #5: cost 173 inf + 44 475.197 * * [simplify]: Extracting #6: cost 247 inf + 1032 475.198 * * [simplify]: Extracting #7: cost 233 inf + 3711 475.200 * * [simplify]: Extracting #8: cost 171 inf + 13838 475.205 * * [simplify]: Extracting #9: cost 118 inf + 30228 475.215 * * [simplify]: Extracting #10: cost 48 inf + 62073 475.232 * * [simplify]: Extracting #11: cost 7 inf + 97781 475.254 * * [simplify]: Extracting #12: cost 1 inf + 105811 475.277 * * [simplify]: Extracting #13: cost 0 inf + 107756 475.300 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 475.300 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 475.300 * * * * [progress]: [ 1422 / 5906 ] simplifiying candidate # 475.301 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 475.301 * * [simplify]: iters left: 6 (52 enodes) 475.314 * * [simplify]: iters left: 5 (255 enodes) 475.371 * * [simplify]: Extracting #0: cost 1 inf + 0 475.371 * * [simplify]: Extracting #1: cost 3 inf + 0 475.371 * * [simplify]: Extracting #2: cost 10 inf + 0 475.371 * * [simplify]: Extracting #3: cost 74 inf + 0 475.371 * * [simplify]: Extracting #4: cost 137 inf + 1 475.372 * * [simplify]: Extracting #5: cost 194 inf + 248 475.373 * * [simplify]: Extracting #6: cost 265 inf + 3171 475.374 * * [simplify]: Extracting #7: cost 242 inf + 7958 475.377 * * [simplify]: Extracting #8: cost 183 inf + 17670 475.382 * * [simplify]: Extracting #9: cost 117 inf + 37997 475.393 * * [simplify]: Extracting #10: cost 57 inf + 66973 475.414 * * [simplify]: Extracting #11: cost 7 inf + 112472 475.438 * * [simplify]: Extracting #12: cost 1 inf + 120982 475.463 * * [simplify]: Extracting #13: cost 0 inf + 123047 475.487 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 475.487 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 475.488 * * * * [progress]: [ 1423 / 5906 ] simplifiying candidate # 475.488 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 475.488 * * [simplify]: iters left: 6 (47 enodes) 475.500 * * [simplify]: iters left: 5 (227 enodes) 475.548 * * [simplify]: Extracting #0: cost 1 inf + 0 475.548 * * [simplify]: Extracting #1: cost 3 inf + 0 475.548 * * [simplify]: Extracting #2: cost 10 inf + 0 475.549 * * [simplify]: Extracting #3: cost 66 inf + 0 475.549 * * [simplify]: Extracting #4: cost 117 inf + 44 475.549 * * [simplify]: Extracting #5: cost 157 inf + 1228 475.550 * * [simplify]: Extracting #6: cost 234 inf + 2932 475.552 * * [simplify]: Extracting #7: cost 224 inf + 4884 475.555 * * [simplify]: Extracting #8: cost 135 inf + 25767 475.565 * * [simplify]: Extracting #9: cost 63 inf + 57724 475.580 * * [simplify]: Extracting #10: cost 16 inf + 87272 475.601 * * [simplify]: Extracting #11: cost 3 inf + 98251 475.623 * * [simplify]: Extracting #12: cost 1 inf + 101941 475.643 * * [simplify]: Extracting #13: cost 0 inf + 103806 475.663 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 475.663 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 475.664 * * * * [progress]: [ 1424 / 5906 ] simplifiying candidate # 475.664 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 475.665 * * [simplify]: iters left: 6 (52 enodes) 475.678 * * [simplify]: iters left: 5 (255 enodes) 475.734 * * [simplify]: Extracting #0: cost 1 inf + 0 475.734 * * [simplify]: Extracting #1: cost 3 inf + 0 475.734 * * [simplify]: Extracting #2: cost 10 inf + 0 475.734 * * [simplify]: Extracting #3: cost 74 inf + 0 475.734 * * [simplify]: Extracting #4: cost 137 inf + 1 475.734 * * [simplify]: Extracting #5: cost 194 inf + 248 475.735 * * [simplify]: Extracting #6: cost 268 inf + 2084 475.737 * * [simplify]: Extracting #7: cost 246 inf + 6950 475.740 * * [simplify]: Extracting #8: cost 184 inf + 17628 475.745 * * [simplify]: Extracting #9: cost 118 inf + 37572 475.758 * * [simplify]: Extracting #10: cost 57 inf + 67933 475.777 * * [simplify]: Extracting #11: cost 7 inf + 113432 475.801 * * [simplify]: Extracting #12: cost 1 inf + 121942 475.826 * * [simplify]: Extracting #13: cost 0 inf + 124007 475.850 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 475.850 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 475.851 * * * * [progress]: [ 1425 / 5906 ] simplifiying candidate # 475.851 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 475.851 * * [simplify]: iters left: 6 (47 enodes) 475.864 * * [simplify]: iters left: 5 (227 enodes) 475.915 * * [simplify]: Extracting #0: cost 1 inf + 0 475.915 * * [simplify]: Extracting #1: cost 3 inf + 0 475.915 * * [simplify]: Extracting #2: cost 10 inf + 0 475.915 * * [simplify]: Extracting #3: cost 65 inf + 0 475.915 * * [simplify]: Extracting #4: cost 116 inf + 86 475.916 * * [simplify]: Extracting #5: cost 154 inf + 1755 475.916 * * [simplify]: Extracting #6: cost 234 inf + 2932 475.918 * * [simplify]: Extracting #7: cost 228 inf + 4356 475.922 * * [simplify]: Extracting #8: cost 132 inf + 26293 475.933 * * [simplify]: Extracting #9: cost 64 inf + 57339 475.948 * * [simplify]: Extracting #10: cost 16 inf + 87672 475.967 * * [simplify]: Extracting #11: cost 3 inf + 98651 475.987 * * [simplify]: Extracting #12: cost 1 inf + 102341 476.007 * * [simplify]: Extracting #13: cost 0 inf + 104206 476.028 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 476.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 476.029 * * * * [progress]: [ 1426 / 5906 ] simplifiying candidate # 476.029 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 476.030 * * [simplify]: iters left: 6 (52 enodes) 476.043 * * [simplify]: iters left: 5 (250 enodes) 476.096 * * [simplify]: Extracting #0: cost 1 inf + 0 476.096 * * [simplify]: Extracting #1: cost 3 inf + 0 476.096 * * [simplify]: Extracting #2: cost 6 inf + 0 476.096 * * [simplify]: Extracting #3: cost 53 inf + 0 476.096 * * [simplify]: Extracting #4: cost 118 inf + 0 476.097 * * [simplify]: Extracting #5: cost 186 inf + 0 476.097 * * [simplify]: Extracting #6: cost 264 inf + 1688 476.101 * * [simplify]: Extracting #7: cost 200 inf + 12982 476.106 * * [simplify]: Extracting #8: cost 133 inf + 28904 476.114 * * [simplify]: Extracting #9: cost 85 inf + 45446 476.124 * * [simplify]: Extracting #10: cost 48 inf + 61158 476.141 * * [simplify]: Extracting #11: cost 6 inf + 100208 476.161 * * [simplify]: Extracting #12: cost 1 inf + 105653 476.183 * * [simplify]: Extracting #13: cost 0 inf + 107398 476.205 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 476.205 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 476.205 * * * * [progress]: [ 1427 / 5906 ] simplifiying candidate # 476.206 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 476.206 * * [simplify]: iters left: 6 (53 enodes) 476.220 * * [simplify]: iters left: 5 (259 enodes) 476.278 * * [simplify]: Extracting #0: cost 1 inf + 0 476.278 * * [simplify]: Extracting #1: cost 3 inf + 0 476.278 * * [simplify]: Extracting #2: cost 6 inf + 0 476.278 * * [simplify]: Extracting #3: cost 56 inf + 0 476.279 * * [simplify]: Extracting #4: cost 140 inf + 0 476.279 * * [simplify]: Extracting #5: cost 198 inf + 85 476.280 * * [simplify]: Extracting #6: cost 251 inf + 2943 476.282 * * [simplify]: Extracting #7: cost 211 inf + 10912 476.286 * * [simplify]: Extracting #8: cost 151 inf + 21077 476.291 * * [simplify]: Extracting #9: cost 99 inf + 38626 476.301 * * [simplify]: Extracting #10: cost 46 inf + 65960 476.319 * * [simplify]: Extracting #11: cost 7 inf + 103455 476.341 * * [simplify]: Extracting #12: cost 0 inf + 112470 476.365 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 476.365 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 476.365 * * * * [progress]: [ 1428 / 5906 ] simplifiying candidate # 476.366 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 476.366 * * [simplify]: iters left: 6 (53 enodes) 476.379 * * [simplify]: iters left: 5 (259 enodes) 476.437 * * [simplify]: Extracting #0: cost 1 inf + 0 476.437 * * [simplify]: Extracting #1: cost 3 inf + 0 476.437 * * [simplify]: Extracting #2: cost 6 inf + 0 476.437 * * [simplify]: Extracting #3: cost 58 inf + 0 476.437 * * [simplify]: Extracting #4: cost 138 inf + 0 476.437 * * [simplify]: Extracting #5: cost 195 inf + 44 476.438 * * [simplify]: Extracting #6: cost 244 inf + 4192 476.441 * * [simplify]: Extracting #7: cost 194 inf + 13137 476.446 * * [simplify]: Extracting #8: cost 132 inf + 32785 476.455 * * [simplify]: Extracting #9: cost 80 inf + 53031 476.465 * * [simplify]: Extracting #10: cost 46 inf + 64472 476.482 * * [simplify]: Extracting #11: cost 10 inf + 98092 476.503 * * [simplify]: Extracting #12: cost 0 inf + 110182 476.526 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 476.526 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 476.527 * * * * [progress]: [ 1429 / 5906 ] simplifiying candidate # 476.527 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 476.528 * * [simplify]: iters left: 6 (47 enodes) 476.541 * * [simplify]: iters left: 5 (222 enodes) 476.586 * * [simplify]: Extracting #0: cost 1 inf + 0 476.586 * * [simplify]: Extracting #1: cost 3 inf + 0 476.587 * * [simplify]: Extracting #2: cost 6 inf + 0 476.587 * * [simplify]: Extracting #3: cost 50 inf + 0 476.587 * * [simplify]: Extracting #4: cost 107 inf + 0 476.587 * * [simplify]: Extracting #5: cost 139 inf + 454 476.588 * * [simplify]: Extracting #6: cost 202 inf + 2246 476.589 * * [simplify]: Extracting #7: cost 188 inf + 4604 476.592 * * [simplify]: Extracting #8: cost 125 inf + 17372 476.601 * * [simplify]: Extracting #9: cost 57 inf + 45864 476.616 * * [simplify]: Extracting #10: cost 12 inf + 77569 476.633 * * [simplify]: Extracting #11: cost 0 inf + 88403 476.651 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 476.652 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 476.652 * * * * [progress]: [ 1430 / 5906 ] simplifiying candidate # 476.652 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 476.653 * * [simplify]: iters left: 6 (52 enodes) 476.666 * * [simplify]: iters left: 5 (250 enodes) 476.719 * * [simplify]: Extracting #0: cost 1 inf + 0 476.719 * * [simplify]: Extracting #1: cost 3 inf + 0 476.719 * * [simplify]: Extracting #2: cost 10 inf + 0 476.719 * * [simplify]: Extracting #3: cost 66 inf + 0 476.719 * * [simplify]: Extracting #4: cost 126 inf + 1 476.719 * * [simplify]: Extracting #5: cost 167 inf + 207 476.720 * * [simplify]: Extracting #6: cost 236 inf + 1757 476.722 * * [simplify]: Extracting #7: cost 213 inf + 5210 476.725 * * [simplify]: Extracting #8: cost 135 inf + 22495 476.731 * * [simplify]: Extracting #9: cost 73 inf + 46342 476.747 * * [simplify]: Extracting #10: cost 12 inf + 93952 476.769 * * [simplify]: Extracting #11: cost 3 inf + 100949 476.789 * * [simplify]: Extracting #12: cost 0 inf + 104062 476.810 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 476.810 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 476.811 * * * * [progress]: [ 1431 / 5906 ] simplifiying candidate # 476.811 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 476.811 * * [simplify]: iters left: 6 (47 enodes) 476.825 * * [simplify]: iters left: 5 (223 enodes) 476.872 * * [simplify]: Extracting #0: cost 1 inf + 0 476.872 * * [simplify]: Extracting #1: cost 3 inf + 0 476.872 * * [simplify]: Extracting #2: cost 10 inf + 0 476.872 * * [simplify]: Extracting #3: cost 57 inf + 0 476.872 * * [simplify]: Extracting #4: cost 105 inf + 44 476.873 * * [simplify]: Extracting #5: cost 132 inf + 862 476.874 * * [simplify]: Extracting #6: cost 197 inf + 2932 476.875 * * [simplify]: Extracting #7: cost 188 inf + 5044 476.878 * * [simplify]: Extracting #8: cost 123 inf + 18491 476.886 * * [simplify]: Extracting #9: cost 56 inf + 47642 476.899 * * [simplify]: Extracting #10: cost 7 inf + 79137 476.916 * * [simplify]: Extracting #11: cost 0 inf + 86099 476.933 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2))))) 476.934 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 476.934 * * * * [progress]: [ 1432 / 5906 ] simplifiying candidate # 476.934 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 476.935 * * [simplify]: iters left: 6 (52 enodes) 476.950 * * [simplify]: iters left: 5 (250 enodes) 477.001 * * [simplify]: Extracting #0: cost 1 inf + 0 477.002 * * [simplify]: Extracting #1: cost 3 inf + 0 477.002 * * [simplify]: Extracting #2: cost 10 inf + 0 477.002 * * [simplify]: Extracting #3: cost 66 inf + 0 477.002 * * [simplify]: Extracting #4: cost 126 inf + 1 477.002 * * [simplify]: Extracting #5: cost 167 inf + 207 477.003 * * [simplify]: Extracting #6: cost 235 inf + 1877 477.004 * * [simplify]: Extracting #7: cost 213 inf + 4849 477.007 * * [simplify]: Extracting #8: cost 136 inf + 22083 477.016 * * [simplify]: Extracting #9: cost 74 inf + 45578 477.031 * * [simplify]: Extracting #10: cost 16 inf + 88233 477.050 * * [simplify]: Extracting #11: cost 4 inf + 99804 477.069 * * [simplify]: Extracting #12: cost 1 inf + 103077 477.090 * * [simplify]: Extracting #13: cost 0 inf + 104862 477.111 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 477.111 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 477.111 * * * * [progress]: [ 1433 / 5906 ] simplifiying candidate # 477.111 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 477.112 * * [simplify]: iters left: 6 (47 enodes) 477.125 * * [simplify]: iters left: 5 (223 enodes) 477.170 * * [simplify]: Extracting #0: cost 1 inf + 0 477.170 * * [simplify]: Extracting #1: cost 3 inf + 0 477.170 * * [simplify]: Extracting #2: cost 10 inf + 0 477.170 * * [simplify]: Extracting #3: cost 56 inf + 0 477.171 * * [simplify]: Extracting #4: cost 104 inf + 86 477.171 * * [simplify]: Extracting #5: cost 128 inf + 1350 477.172 * * [simplify]: Extracting #6: cost 197 inf + 2932 477.173 * * [simplify]: Extracting #7: cost 187 inf + 5287 477.176 * * [simplify]: Extracting #8: cost 123 inf + 18652 477.186 * * [simplify]: Extracting #9: cost 59 inf + 46974 477.199 * * [simplify]: Extracting #10: cost 7 inf + 79737 477.216 * * [simplify]: Extracting #11: cost 0 inf + 86579 477.234 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2))))) 477.234 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 477.234 * * * * [progress]: [ 1434 / 5906 ] simplifiying candidate # 477.234 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 477.235 * * [simplify]: iters left: 6 (48 enodes) 477.247 * * [simplify]: iters left: 5 (227 enodes) 477.297 * * [simplify]: Extracting #0: cost 1 inf + 0 477.297 * * [simplify]: Extracting #1: cost 3 inf + 0 477.297 * * [simplify]: Extracting #2: cost 6 inf + 0 477.297 * * [simplify]: Extracting #3: cost 48 inf + 0 477.297 * * [simplify]: Extracting #4: cost 112 inf + 0 477.298 * * [simplify]: Extracting #5: cost 184 inf + 0 477.298 * * [simplify]: Extracting #6: cost 251 inf + 45 477.299 * * [simplify]: Extracting #7: cost 214 inf + 4429 477.303 * * [simplify]: Extracting #8: cost 107 inf + 29433 477.312 * * [simplify]: Extracting #9: cost 47 inf + 56991 477.329 * * [simplify]: Extracting #10: cost 5 inf + 97689 477.349 * * [simplify]: Extracting #11: cost 0 inf + 103334 477.372 * * [simplify]: Extracting #12: cost 0 inf + 103254 477.392 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 477.392 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 477.393 * * * * [progress]: [ 1435 / 5906 ] simplifiying candidate # 477.393 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 477.394 * * [simplify]: iters left: 6 (49 enodes) 477.406 * * [simplify]: iters left: 5 (236 enodes) 477.460 * * [simplify]: Extracting #0: cost 1 inf + 0 477.460 * * [simplify]: Extracting #1: cost 3 inf + 0 477.460 * * [simplify]: Extracting #2: cost 6 inf + 0 477.460 * * [simplify]: Extracting #3: cost 52 inf + 0 477.460 * * [simplify]: Extracting #4: cost 135 inf + 0 477.461 * * [simplify]: Extracting #5: cost 196 inf + 127 477.462 * * [simplify]: Extracting #6: cost 225 inf + 4520 477.464 * * [simplify]: Extracting #7: cost 189 inf + 10639 477.468 * * [simplify]: Extracting #8: cost 115 inf + 31393 477.478 * * [simplify]: Extracting #9: cost 47 inf + 60843 477.495 * * [simplify]: Extracting #10: cost 9 inf + 95046 477.516 * * [simplify]: Extracting #11: cost 0 inf + 104471 477.539 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 477.539 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 477.539 * * * * [progress]: [ 1436 / 5906 ] simplifiying candidate # 477.540 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 477.540 * * [simplify]: iters left: 6 (49 enodes) 477.553 * * [simplify]: iters left: 5 (236 enodes) 477.605 * * [simplify]: Extracting #0: cost 1 inf + 0 477.605 * * [simplify]: Extracting #1: cost 3 inf + 0 477.605 * * [simplify]: Extracting #2: cost 6 inf + 0 477.605 * * [simplify]: Extracting #3: cost 54 inf + 0 477.605 * * [simplify]: Extracting #4: cost 133 inf + 0 477.606 * * [simplify]: Extracting #5: cost 191 inf + 208 477.609 * * [simplify]: Extracting #6: cost 221 inf + 4879 477.611 * * [simplify]: Extracting #7: cost 183 inf + 11523 477.616 * * [simplify]: Extracting #8: cost 119 inf + 28136 477.624 * * [simplify]: Extracting #9: cost 53 inf + 55212 477.635 * * [simplify]: Extracting #10: cost 32 inf + 69703 477.654 * * [simplify]: Extracting #11: cost 1 inf + 101798 477.676 * * [simplify]: Extracting #12: cost 0 inf + 103703 477.699 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 477.699 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 477.699 * * * * [progress]: [ 1437 / 5906 ] simplifiying candidate # 477.700 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 477.700 * * [simplify]: iters left: 6 (43 enodes) 477.712 * * [simplify]: iters left: 5 (199 enodes) 477.752 * * [simplify]: Extracting #0: cost 1 inf + 0 477.752 * * [simplify]: Extracting #1: cost 3 inf + 0 477.752 * * [simplify]: Extracting #2: cost 6 inf + 0 477.753 * * [simplify]: Extracting #3: cost 46 inf + 0 477.753 * * [simplify]: Extracting #4: cost 101 inf + 0 477.753 * * [simplify]: Extracting #5: cost 136 inf + 372 477.754 * * [simplify]: Extracting #6: cost 184 inf + 2163 477.755 * * [simplify]: Extracting #7: cost 174 inf + 4236 477.757 * * [simplify]: Extracting #8: cost 132 inf + 9801 477.760 * * [simplify]: Extracting #9: cost 98 inf + 20872 477.768 * * [simplify]: Extracting #10: cost 40 inf + 45979 477.782 * * [simplify]: Extracting #11: cost 9 inf + 70737 477.798 * * [simplify]: Extracting #12: cost 0 inf + 80802 477.815 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2)))))) 477.815 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 477.815 * * * * [progress]: [ 1438 / 5906 ] simplifiying candidate # 477.815 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 477.816 * * [simplify]: iters left: 6 (48 enodes) 477.828 * * [simplify]: iters left: 5 (227 enodes) 477.877 * * [simplify]: Extracting #0: cost 1 inf + 0 477.877 * * [simplify]: Extracting #1: cost 3 inf + 0 477.878 * * [simplify]: Extracting #2: cost 10 inf + 0 477.878 * * [simplify]: Extracting #3: cost 62 inf + 0 477.878 * * [simplify]: Extracting #4: cost 115 inf + 42 477.878 * * [simplify]: Extracting #5: cost 161 inf + 207 477.879 * * [simplify]: Extracting #6: cost 205 inf + 2730 477.880 * * [simplify]: Extracting #7: cost 191 inf + 5818 477.883 * * [simplify]: Extracting #8: cost 122 inf + 22057 477.889 * * [simplify]: Extracting #9: cost 67 inf + 39023 477.902 * * [simplify]: Extracting #10: cost 17 inf + 78504 477.921 * * [simplify]: Extracting #11: cost 1 inf + 93913 477.940 * * [simplify]: Extracting #12: cost 0 inf + 95698 477.961 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 477.961 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 477.962 * * * * [progress]: [ 1439 / 5906 ] simplifiying candidate # 477.962 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 477.962 * * [simplify]: iters left: 6 (43 enodes) 477.973 * * [simplify]: iters left: 5 (199 enodes) 478.015 * * [simplify]: Extracting #0: cost 1 inf + 0 478.015 * * [simplify]: Extracting #1: cost 3 inf + 0 478.015 * * [simplify]: Extracting #2: cost 10 inf + 0 478.015 * * [simplify]: Extracting #3: cost 54 inf + 0 478.016 * * [simplify]: Extracting #4: cost 95 inf + 86 478.016 * * [simplify]: Extracting #5: cost 122 inf + 1471 478.017 * * [simplify]: Extracting #6: cost 175 inf + 2851 478.018 * * [simplify]: Extracting #7: cost 172 inf + 3789 478.021 * * [simplify]: Extracting #8: cost 103 inf + 20089 478.030 * * [simplify]: Extracting #9: cost 38 inf + 51514 478.046 * * [simplify]: Extracting #10: cost 5 inf + 73118 478.061 * * [simplify]: Extracting #11: cost 0 inf + 76937 478.077 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 478.077 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 478.078 * * * * [progress]: [ 1440 / 5906 ] simplifiying candidate # 478.078 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 478.078 * * [simplify]: iters left: 6 (48 enodes) 478.090 * * [simplify]: iters left: 5 (227 enodes) 478.140 * * [simplify]: Extracting #0: cost 1 inf + 0 478.140 * * [simplify]: Extracting #1: cost 3 inf + 0 478.140 * * [simplify]: Extracting #2: cost 10 inf + 0 478.141 * * [simplify]: Extracting #3: cost 62 inf + 0 478.141 * * [simplify]: Extracting #4: cost 115 inf + 42 478.141 * * [simplify]: Extracting #5: cost 159 inf + 290 478.142 * * [simplify]: Extracting #6: cost 204 inf + 2971 478.143 * * [simplify]: Extracting #7: cost 191 inf + 5778 478.146 * * [simplify]: Extracting #8: cost 121 inf + 22492 478.152 * * [simplify]: Extracting #9: cost 66 inf + 39608 478.165 * * [simplify]: Extracting #10: cost 17 inf + 78424 478.184 * * [simplify]: Extracting #11: cost 1 inf + 94633 478.203 * * [simplify]: Extracting #12: cost 0 inf + 96418 478.225 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 478.225 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 478.225 * * * * [progress]: [ 1441 / 5906 ] simplifiying candidate # 478.226 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 478.226 * * [simplify]: iters left: 6 (43 enodes) 478.237 * * [simplify]: iters left: 5 (199 enodes) 478.277 * * [simplify]: Extracting #0: cost 1 inf + 0 478.277 * * [simplify]: Extracting #1: cost 3 inf + 0 478.277 * * [simplify]: Extracting #2: cost 10 inf + 0 478.277 * * [simplify]: Extracting #3: cost 53 inf + 0 478.277 * * [simplify]: Extracting #4: cost 96 inf + 44 478.277 * * [simplify]: Extracting #5: cost 126 inf + 1023 478.278 * * [simplify]: Extracting #6: cost 174 inf + 2932 478.279 * * [simplify]: Extracting #7: cost 169 inf + 4154 478.282 * * [simplify]: Extracting #8: cost 101 inf + 21591 478.294 * * [simplify]: Extracting #9: cost 39 inf + 51468 478.310 * * [simplify]: Extracting #10: cost 4 inf + 74930 478.325 * * [simplify]: Extracting #11: cost 0 inf + 77257 478.340 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 478.340 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 478.341 * * * * [progress]: [ 1442 / 5906 ] simplifiying candidate # 478.341 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 478.342 * * [simplify]: iters left: 6 (52 enodes) 478.355 * * [simplify]: iters left: 5 (255 enodes) 478.412 * * [simplify]: Extracting #0: cost 1 inf + 0 478.412 * * [simplify]: Extracting #1: cost 3 inf + 0 478.412 * * [simplify]: Extracting #2: cost 6 inf + 0 478.412 * * [simplify]: Extracting #3: cost 56 inf + 0 478.413 * * [simplify]: Extracting #4: cost 130 inf + 0 478.413 * * [simplify]: Extracting #5: cost 209 inf + 0 478.414 * * [simplify]: Extracting #6: cost 288 inf + 298 478.415 * * [simplify]: Extracting #7: cost 250 inf + 7447 478.419 * * [simplify]: Extracting #8: cost 148 inf + 28447 478.428 * * [simplify]: Extracting #9: cost 72 inf + 55992 478.446 * * [simplify]: Extracting #10: cost 16 inf + 104339 478.472 * * [simplify]: Extracting #11: cost 1 inf + 121554 478.496 * * [simplify]: Extracting #12: cost 0 inf + 123619 478.520 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 478.520 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 478.521 * * * * [progress]: [ 1443 / 5906 ] simplifiying candidate # 478.521 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 478.522 * * [simplify]: iters left: 6 (53 enodes) 478.535 * * [simplify]: iters left: 5 (264 enodes) 478.594 * * [simplify]: Extracting #0: cost 1 inf + 0 478.594 * * [simplify]: Extracting #1: cost 3 inf + 0 478.594 * * [simplify]: Extracting #2: cost 6 inf + 0 478.594 * * [simplify]: Extracting #3: cost 60 inf + 0 478.594 * * [simplify]: Extracting #4: cost 153 inf + 0 478.595 * * [simplify]: Extracting #5: cost 223 inf + 44 478.596 * * [simplify]: Extracting #6: cost 265 inf + 4355 478.598 * * [simplify]: Extracting #7: cost 233 inf + 10309 478.602 * * [simplify]: Extracting #8: cost 178 inf + 19822 478.609 * * [simplify]: Extracting #9: cost 106 inf + 48081 478.632 * * [simplify]: Extracting #10: cost 10 inf + 117270 478.657 * * [simplify]: Extracting #11: cost 0 inf + 126436 478.682 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 478.682 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 478.682 * * * * [progress]: [ 1444 / 5906 ] simplifiying candidate # 478.683 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 478.683 * * [simplify]: iters left: 6 (53 enodes) 478.696 * * [simplify]: iters left: 5 (264 enodes) 478.755 * * [simplify]: Extracting #0: cost 1 inf + 0 478.755 * * [simplify]: Extracting #1: cost 3 inf + 0 478.755 * * [simplify]: Extracting #2: cost 6 inf + 0 478.755 * * [simplify]: Extracting #3: cost 62 inf + 0 478.756 * * [simplify]: Extracting #4: cost 151 inf + 0 478.756 * * [simplify]: Extracting #5: cost 219 inf + 44 478.757 * * [simplify]: Extracting #6: cost 256 inf + 5766 478.760 * * [simplify]: Extracting #7: cost 228 inf + 11110 478.763 * * [simplify]: Extracting #8: cost 171 inf + 21412 478.770 * * [simplify]: Extracting #9: cost 107 inf + 45484 478.784 * * [simplify]: Extracting #10: cost 54 inf + 70101 478.805 * * [simplify]: Extracting #11: cost 5 inf + 121583 478.830 * * [simplify]: Extracting #12: cost 0 inf + 128148 478.855 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 478.855 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 478.856 * * * * [progress]: [ 1445 / 5906 ] simplifiying candidate # 478.856 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 478.857 * * [simplify]: iters left: 6 (47 enodes) 478.868 * * [simplify]: iters left: 5 (228 enodes) 478.917 * * [simplify]: Extracting #0: cost 1 inf + 0 478.918 * * [simplify]: Extracting #1: cost 3 inf + 0 478.918 * * [simplify]: Extracting #2: cost 6 inf + 0 478.918 * * [simplify]: Extracting #3: cost 54 inf + 0 478.918 * * [simplify]: Extracting #4: cost 119 inf + 0 478.918 * * [simplify]: Extracting #5: cost 167 inf + 44 478.919 * * [simplify]: Extracting #6: cost 226 inf + 1638 478.920 * * [simplify]: Extracting #7: cost 208 inf + 4927 478.923 * * [simplify]: Extracting #8: cost 166 inf + 10811 478.927 * * [simplify]: Extracting #9: cost 116 inf + 26061 478.937 * * [simplify]: Extracting #10: cost 50 inf + 55633 478.955 * * [simplify]: Extracting #11: cost 7 inf + 90832 478.975 * * [simplify]: Extracting #12: cost 1 inf + 99022 478.994 * * [simplify]: Extracting #13: cost 0 inf + 100927 479.014 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 479.014 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 479.015 * * * * [progress]: [ 1446 / 5906 ] simplifiying candidate # 479.015 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 479.015 * * [simplify]: iters left: 6 (52 enodes) 479.029 * * [simplify]: iters left: 5 (256 enodes) 479.085 * * [simplify]: Extracting #0: cost 1 inf + 0 479.085 * * [simplify]: Extracting #1: cost 3 inf + 0 479.085 * * [simplify]: Extracting #2: cost 10 inf + 0 479.085 * * [simplify]: Extracting #3: cost 74 inf + 0 479.085 * * [simplify]: Extracting #4: cost 137 inf + 1 479.086 * * [simplify]: Extracting #5: cost 188 inf + 248 479.087 * * [simplify]: Extracting #6: cost 247 inf + 2768 479.088 * * [simplify]: Extracting #7: cost 220 inf + 7193 479.091 * * [simplify]: Extracting #8: cost 170 inf + 17111 479.096 * * [simplify]: Extracting #9: cost 117 inf + 33800 479.106 * * [simplify]: Extracting #10: cost 57 inf + 63441 479.127 * * [simplify]: Extracting #11: cost 9 inf + 107953 479.150 * * [simplify]: Extracting #12: cost 1 inf + 117033 479.174 * * [simplify]: Extracting #13: cost 0 inf + 119138 479.198 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 479.198 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 479.199 * * * * [progress]: [ 1447 / 5906 ] simplifiying candidate # 479.199 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 479.199 * * [simplify]: iters left: 6 (47 enodes) 479.211 * * [simplify]: iters left: 5 (228 enodes) 479.260 * * [simplify]: Extracting #0: cost 1 inf + 0 479.260 * * [simplify]: Extracting #1: cost 3 inf + 0 479.260 * * [simplify]: Extracting #2: cost 10 inf + 0 479.260 * * [simplify]: Extracting #3: cost 66 inf + 0 479.260 * * [simplify]: Extracting #4: cost 117 inf + 44 479.261 * * [simplify]: Extracting #5: cost 152 inf + 1186 479.262 * * [simplify]: Extracting #6: cost 216 inf + 2972 479.263 * * [simplify]: Extracting #7: cost 208 inf + 4600 479.266 * * [simplify]: Extracting #8: cost 150 inf + 15729 479.274 * * [simplify]: Extracting #9: cost 71 inf + 44081 479.288 * * [simplify]: Extracting #10: cost 25 inf + 74851 479.308 * * [simplify]: Extracting #11: cost 1 inf + 95712 479.328 * * [simplify]: Extracting #12: cost 0 inf + 97457 479.347 * * [simplify]: Extracting #13: cost 0 inf + 97377 479.367 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 479.367 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 479.368 * * * * [progress]: [ 1448 / 5906 ] simplifiying candidate # 479.368 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 479.368 * * [simplify]: iters left: 6 (52 enodes) 479.381 * * [simplify]: iters left: 5 (256 enodes) 479.438 * * [simplify]: Extracting #0: cost 1 inf + 0 479.438 * * [simplify]: Extracting #1: cost 3 inf + 0 479.438 * * [simplify]: Extracting #2: cost 10 inf + 0 479.438 * * [simplify]: Extracting #3: cost 74 inf + 0 479.438 * * [simplify]: Extracting #4: cost 137 inf + 1 479.438 * * [simplify]: Extracting #5: cost 188 inf + 248 479.439 * * [simplify]: Extracting #6: cost 255 inf + 1355 479.441 * * [simplify]: Extracting #7: cost 226 inf + 5781 479.443 * * [simplify]: Extracting #8: cost 168 inf + 17575 479.449 * * [simplify]: Extracting #9: cost 117 inf + 33800 479.458 * * [simplify]: Extracting #10: cost 57 inf + 64641 479.479 * * [simplify]: Extracting #11: cost 9 inf + 108913 479.502 * * [simplify]: Extracting #12: cost 1 inf + 117993 479.526 * * [simplify]: Extracting #13: cost 0 inf + 120098 479.550 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 479.550 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 479.551 * * * * [progress]: [ 1449 / 5906 ] simplifiying candidate # 479.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 479.551 * * [simplify]: iters left: 6 (47 enodes) 479.564 * * [simplify]: iters left: 5 (228 enodes) 479.614 * * [simplify]: Extracting #0: cost 1 inf + 0 479.614 * * [simplify]: Extracting #1: cost 3 inf + 0 479.614 * * [simplify]: Extracting #2: cost 10 inf + 0 479.614 * * [simplify]: Extracting #3: cost 65 inf + 0 479.614 * * [simplify]: Extracting #4: cost 116 inf + 86 479.614 * * [simplify]: Extracting #5: cost 149 inf + 1552 479.615 * * [simplify]: Extracting #6: cost 216 inf + 2932 479.617 * * [simplify]: Extracting #7: cost 206 inf + 4724 479.619 * * [simplify]: Extracting #8: cost 169 inf + 9923 479.623 * * [simplify]: Extracting #9: cost 115 inf + 26004 479.632 * * [simplify]: Extracting #10: cost 43 inf + 56490 479.648 * * [simplify]: Extracting #11: cost 12 inf + 84077 479.667 * * [simplify]: Extracting #12: cost 1 inf + 96352 479.686 * * [simplify]: Extracting #13: cost 0 inf + 98097 479.706 * * [simplify]: Extracting #14: cost 0 inf + 98017 479.725 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 479.725 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 479.726 * * * * [progress]: [ 1450 / 5906 ] simplifiying candidate # 479.726 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 479.726 * * [simplify]: iters left: 6 (50 enodes) 479.740 * * [simplify]: iters left: 5 (238 enodes) 479.791 * * [simplify]: Extracting #0: cost 1 inf + 0 479.791 * * [simplify]: Extracting #1: cost 3 inf + 0 479.791 * * [simplify]: Extracting #2: cost 6 inf + 0 479.791 * * [simplify]: Extracting #3: cost 57 inf + 0 479.791 * * [simplify]: Extracting #4: cost 128 inf + 0 479.792 * * [simplify]: Extracting #5: cost 199 inf + 0 479.792 * * [simplify]: Extracting #6: cost 265 inf + 1728 479.794 * * [simplify]: Extracting #7: cost 228 inf + 7847 479.797 * * [simplify]: Extracting #8: cost 159 inf + 20029 479.802 * * [simplify]: Extracting #9: cost 112 inf + 34848 479.813 * * [simplify]: Extracting #10: cost 57 inf + 59420 479.831 * * [simplify]: Extracting #11: cost 7 inf + 106030 479.853 * * [simplify]: Extracting #12: cost 1 inf + 113660 479.875 * * [simplify]: Extracting #13: cost 0 inf + 115485 479.898 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 479.899 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 479.900 * * * * [progress]: [ 1451 / 5906 ] simplifiying candidate # 479.900 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 479.900 * * [simplify]: iters left: 6 (51 enodes) 479.915 * * [simplify]: iters left: 5 (247 enodes) 479.968 * * [simplify]: Extracting #0: cost 1 inf + 0 479.968 * * [simplify]: Extracting #1: cost 3 inf + 0 479.968 * * [simplify]: Extracting #2: cost 6 inf + 0 479.968 * * [simplify]: Extracting #3: cost 61 inf + 0 479.968 * * [simplify]: Extracting #4: cost 151 inf + 0 479.969 * * [simplify]: Extracting #5: cost 213 inf + 44 479.970 * * [simplify]: Extracting #6: cost 251 inf + 3469 479.972 * * [simplify]: Extracting #7: cost 214 inf + 9629 479.976 * * [simplify]: Extracting #8: cost 126 inf + 30040 479.990 * * [simplify]: Extracting #9: cost 46 inf + 74864 480.010 * * [simplify]: Extracting #10: cost 7 inf + 109127 480.033 * * [simplify]: Extracting #11: cost 1 inf + 116517 480.056 * * [simplify]: Extracting #12: cost 0 inf + 118422 480.079 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 480.079 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 480.080 * * * * [progress]: [ 1452 / 5906 ] simplifiying candidate # 480.080 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 480.081 * * [simplify]: iters left: 6 (51 enodes) 480.094 * * [simplify]: iters left: 5 (247 enodes) 480.147 * * [simplify]: Extracting #0: cost 1 inf + 0 480.148 * * [simplify]: Extracting #1: cost 3 inf + 0 480.148 * * [simplify]: Extracting #2: cost 6 inf + 0 480.148 * * [simplify]: Extracting #3: cost 63 inf + 0 480.148 * * [simplify]: Extracting #4: cost 149 inf + 0 480.148 * * [simplify]: Extracting #5: cost 209 inf + 44 480.149 * * [simplify]: Extracting #6: cost 247 inf + 3629 480.154 * * [simplify]: Extracting #7: cost 207 inf + 10836 480.158 * * [simplify]: Extracting #8: cost 153 inf + 22824 480.165 * * [simplify]: Extracting #9: cost 91 inf + 49153 480.175 * * [simplify]: Extracting #10: cost 58 inf + 61524 480.188 * * [simplify]: Extracting #11: cost 32 inf + 80614 480.209 * * [simplify]: Extracting #12: cost 6 inf + 105984 480.230 * * [simplify]: Extracting #13: cost 1 inf + 112629 480.254 * * [simplify]: Extracting #14: cost 0 inf + 114494 480.276 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 480.276 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 480.277 * * * * [progress]: [ 1453 / 5906 ] simplifiying candidate # 480.277 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 480.278 * * [simplify]: iters left: 6 (45 enodes) 480.289 * * [simplify]: iters left: 5 (211 enodes) 480.334 * * [simplify]: Extracting #0: cost 1 inf + 0 480.334 * * [simplify]: Extracting #1: cost 3 inf + 0 480.334 * * [simplify]: Extracting #2: cost 6 inf + 0 480.334 * * [simplify]: Extracting #3: cost 55 inf + 0 480.334 * * [simplify]: Extracting #4: cost 117 inf + 0 480.335 * * [simplify]: Extracting #5: cost 157 inf + 44 480.335 * * [simplify]: Extracting #6: cost 214 inf + 786 480.336 * * [simplify]: Extracting #7: cost 197 inf + 3309 480.338 * * [simplify]: Extracting #8: cost 155 inf + 9395 480.343 * * [simplify]: Extracting #9: cost 99 inf + 32135 480.357 * * [simplify]: Extracting #10: cost 10 inf + 83425 480.376 * * [simplify]: Extracting #11: cost 0 inf + 93393 480.394 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) 480.394 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 480.395 * * * * [progress]: [ 1454 / 5906 ] simplifiying candidate # 480.395 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 480.395 * * [simplify]: iters left: 6 (50 enodes) 480.408 * * [simplify]: iters left: 5 (239 enodes) 480.460 * * [simplify]: Extracting #0: cost 1 inf + 0 480.460 * * [simplify]: Extracting #1: cost 3 inf + 0 480.460 * * [simplify]: Extracting #2: cost 10 inf + 0 480.460 * * [simplify]: Extracting #3: cost 75 inf + 0 480.460 * * [simplify]: Extracting #4: cost 142 inf + 1 480.461 * * [simplify]: Extracting #5: cost 185 inf + 249 480.462 * * [simplify]: Extracting #6: cost 236 inf + 2929 480.463 * * [simplify]: Extracting #7: cost 208 inf + 7433 480.466 * * [simplify]: Extracting #8: cost 166 inf + 15603 480.471 * * [simplify]: Extracting #9: cost 113 inf + 33691 480.482 * * [simplify]: Extracting #10: cost 30 inf + 80570 480.505 * * [simplify]: Extracting #11: cost 4 inf + 106479 480.525 * * [simplify]: Extracting #12: cost 1 inf + 110954 480.546 * * [simplify]: Extracting #13: cost 0 inf + 112739 480.568 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 480.568 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 480.568 * * * * [progress]: [ 1455 / 5906 ] simplifiying candidate # 480.568 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 480.569 * * [simplify]: iters left: 6 (45 enodes) 480.580 * * [simplify]: iters left: 5 (211 enodes) 480.624 * * [simplify]: Extracting #0: cost 1 inf + 0 480.624 * * [simplify]: Extracting #1: cost 3 inf + 0 480.624 * * [simplify]: Extracting #2: cost 10 inf + 0 480.624 * * [simplify]: Extracting #3: cost 67 inf + 0 480.624 * * [simplify]: Extracting #4: cost 121 inf + 86 480.625 * * [simplify]: Extracting #5: cost 149 inf + 1067 480.626 * * [simplify]: Extracting #6: cost 204 inf + 2932 480.627 * * [simplify]: Extracting #7: cost 199 inf + 4275 480.628 * * [simplify]: Extracting #8: cost 170 inf + 7814 480.632 * * [simplify]: Extracting #9: cost 117 inf + 24809 480.643 * * [simplify]: Extracting #10: cost 20 inf + 77279 480.661 * * [simplify]: Extracting #11: cost 0 inf + 94218 480.681 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))))) 480.681 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 480.682 * * * * [progress]: [ 1456 / 5906 ] simplifiying candidate # 480.682 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 480.682 * * [simplify]: iters left: 6 (50 enodes) 480.695 * * [simplify]: iters left: 5 (239 enodes) 480.748 * * [simplify]: Extracting #0: cost 1 inf + 0 480.748 * * [simplify]: Extracting #1: cost 3 inf + 0 480.748 * * [simplify]: Extracting #2: cost 10 inf + 0 480.748 * * [simplify]: Extracting #3: cost 75 inf + 0 480.748 * * [simplify]: Extracting #4: cost 142 inf + 1 480.749 * * [simplify]: Extracting #5: cost 186 inf + 207 480.749 * * [simplify]: Extracting #6: cost 238 inf + 2244 480.751 * * [simplify]: Extracting #7: cost 207 inf + 7564 480.753 * * [simplify]: Extracting #8: cost 166 inf + 15763 480.758 * * [simplify]: Extracting #9: cost 112 inf + 33875 480.770 * * [simplify]: Extracting #10: cost 31 inf + 80465 480.788 * * [simplify]: Extracting #11: cost 4 inf + 107439 480.811 * * [simplify]: Extracting #12: cost 1 inf + 111914 480.832 * * [simplify]: Extracting #13: cost 0 inf + 113699 480.855 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) 480.855 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 480.855 * * * * [progress]: [ 1457 / 5906 ] simplifiying candidate # 480.856 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 480.856 * * [simplify]: iters left: 6 (45 enodes) 480.868 * * [simplify]: iters left: 5 (211 enodes) 480.910 * * [simplify]: Extracting #0: cost 1 inf + 0 480.910 * * [simplify]: Extracting #1: cost 3 inf + 0 480.910 * * [simplify]: Extracting #2: cost 10 inf + 0 480.910 * * [simplify]: Extracting #3: cost 66 inf + 0 480.911 * * [simplify]: Extracting #4: cost 122 inf + 44 480.911 * * [simplify]: Extracting #5: cost 146 inf + 1472 480.912 * * [simplify]: Extracting #6: cost 204 inf + 2932 480.915 * * [simplify]: Extracting #7: cost 198 inf + 4396 480.917 * * [simplify]: Extracting #8: cost 171 inf + 7692 480.921 * * [simplify]: Extracting #9: cost 112 inf + 26735 480.930 * * [simplify]: Extracting #10: cost 33 inf + 65469 480.946 * * [simplify]: Extracting #11: cost 2 inf + 91488 480.964 * * [simplify]: Extracting #12: cost 0 inf + 94618 480.982 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))) 480.982 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 480.983 * * * * [progress]: [ 1458 / 5906 ] simplifiying candidate # 480.983 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 480.983 * * [simplify]: iters left: 6 (51 enodes) 480.996 * * [simplify]: iters left: 5 (244 enodes) 481.050 * * [simplify]: Extracting #0: cost 1 inf + 0 481.050 * * [simplify]: Extracting #1: cost 3 inf + 0 481.050 * * [simplify]: Extracting #2: cost 6 inf + 0 481.050 * * [simplify]: Extracting #3: cost 56 inf + 0 481.050 * * [simplify]: Extracting #4: cost 130 inf + 0 481.051 * * [simplify]: Extracting #5: cost 206 inf + 0 481.052 * * [simplify]: Extracting #6: cost 254 inf + 3728 481.054 * * [simplify]: Extracting #7: cost 189 inf + 18664 481.061 * * [simplify]: Extracting #8: cost 127 inf + 44925 481.069 * * [simplify]: Extracting #9: cost 89 inf + 51014 481.081 * * [simplify]: Extracting #10: cost 48 inf + 68688 481.102 * * [simplify]: Extracting #11: cost 4 inf + 114708 481.125 * * [simplify]: Extracting #12: cost 1 inf + 119823 481.148 * * [simplify]: Extracting #13: cost 0 inf + 121888 481.172 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 481.172 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 481.173 * * * * [progress]: [ 1459 / 5906 ] simplifiying candidate # 481.173 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 481.173 * * [simplify]: iters left: 6 (52 enodes) 481.187 * * [simplify]: iters left: 5 (253 enodes) 481.243 * * [simplify]: Extracting #0: cost 1 inf + 0 481.243 * * [simplify]: Extracting #1: cost 3 inf + 0 481.243 * * [simplify]: Extracting #2: cost 6 inf + 0 481.243 * * [simplify]: Extracting #3: cost 60 inf + 0 481.244 * * [simplify]: Extracting #4: cost 153 inf + 0 481.244 * * [simplify]: Extracting #5: cost 220 inf + 44 481.245 * * [simplify]: Extracting #6: cost 248 inf + 4526 481.251 * * [simplify]: Extracting #7: cost 186 inf + 15099 481.257 * * [simplify]: Extracting #8: cost 132 inf + 37842 481.266 * * [simplify]: Extracting #9: cost 90 inf + 55424 481.278 * * [simplify]: Extracting #10: cost 41 inf + 76520 481.298 * * [simplify]: Extracting #11: cost 3 inf + 119590 481.322 * * [simplify]: Extracting #12: cost 1 inf + 123520 481.350 * * [simplify]: Extracting #13: cost 0 inf + 125665 481.375 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 481.375 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 481.376 * * * * [progress]: [ 1460 / 5906 ] simplifiying candidate # 481.376 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 481.376 * * [simplify]: iters left: 6 (52 enodes) 481.390 * * [simplify]: iters left: 5 (253 enodes) 481.446 * * [simplify]: Extracting #0: cost 1 inf + 0 481.446 * * [simplify]: Extracting #1: cost 3 inf + 0 481.446 * * [simplify]: Extracting #2: cost 6 inf + 0 481.447 * * [simplify]: Extracting #3: cost 62 inf + 0 481.447 * * [simplify]: Extracting #4: cost 151 inf + 0 481.447 * * [simplify]: Extracting #5: cost 216 inf + 44 481.448 * * [simplify]: Extracting #6: cost 254 inf + 2826 481.451 * * [simplify]: Extracting #7: cost 193 inf + 13520 481.455 * * [simplify]: Extracting #8: cost 148 inf + 25206 481.461 * * [simplify]: Extracting #9: cost 107 inf + 41750 481.471 * * [simplify]: Extracting #10: cost 55 inf + 65322 481.489 * * [simplify]: Extracting #11: cost 9 inf + 108552 481.515 * * [simplify]: Extracting #12: cost 1 inf + 118592 481.538 * * [simplify]: Extracting #13: cost 0 inf + 120697 481.562 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 481.562 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 481.563 * * * * [progress]: [ 1461 / 5906 ] simplifiying candidate # 481.563 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 481.563 * * [simplify]: iters left: 6 (46 enodes) 481.575 * * [simplify]: iters left: 5 (217 enodes) 481.622 * * [simplify]: Extracting #0: cost 1 inf + 0 481.622 * * [simplify]: Extracting #1: cost 3 inf + 0 481.623 * * [simplify]: Extracting #2: cost 6 inf + 0 481.623 * * [simplify]: Extracting #3: cost 54 inf + 0 481.623 * * [simplify]: Extracting #4: cost 119 inf + 0 481.623 * * [simplify]: Extracting #5: cost 162 inf + 127 481.624 * * [simplify]: Extracting #6: cost 204 inf + 2453 481.626 * * [simplify]: Extracting #7: cost 165 inf + 8749 481.631 * * [simplify]: Extracting #8: cost 104 inf + 30798 481.639 * * [simplify]: Extracting #9: cost 56 inf + 51062 481.650 * * [simplify]: Extracting #10: cost 27 inf + 67721 481.669 * * [simplify]: Extracting #11: cost 2 inf + 94186 481.690 * * [simplify]: Extracting #12: cost 0 inf + 97756 481.709 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))))) 481.709 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 481.710 * * * * [progress]: [ 1462 / 5906 ] simplifiying candidate # 481.710 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 481.710 * * [simplify]: iters left: 6 (51 enodes) 481.723 * * [simplify]: iters left: 5 (245 enodes) 481.777 * * [simplify]: Extracting #0: cost 1 inf + 0 481.777 * * [simplify]: Extracting #1: cost 3 inf + 0 481.777 * * [simplify]: Extracting #2: cost 10 inf + 0 481.777 * * [simplify]: Extracting #3: cost 74 inf + 0 481.778 * * [simplify]: Extracting #4: cost 136 inf + 42 481.778 * * [simplify]: Extracting #5: cost 185 inf + 249 481.779 * * [simplify]: Extracting #6: cost 229 inf + 2661 481.781 * * [simplify]: Extracting #7: cost 184 inf + 10404 481.786 * * [simplify]: Extracting #8: cost 133 inf + 31417 481.792 * * [simplify]: Extracting #9: cost 97 inf + 45117 481.802 * * [simplify]: Extracting #10: cost 52 inf + 61427 481.814 * * [simplify]: Extracting #11: cost 28 inf + 80667 481.834 * * [simplify]: Extracting #12: cost 4 inf + 107027 481.857 * * [simplify]: Extracting #13: cost 1 inf + 111702 481.879 * * [simplify]: Extracting #14: cost 0 inf + 113687 481.901 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 481.901 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 481.902 * * * * [progress]: [ 1463 / 5906 ] simplifiying candidate # 481.902 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 481.902 * * [simplify]: iters left: 6 (46 enodes) 481.914 * * [simplify]: iters left: 5 (217 enodes) 481.960 * * [simplify]: Extracting #0: cost 1 inf + 0 481.960 * * [simplify]: Extracting #1: cost 3 inf + 0 481.960 * * [simplify]: Extracting #2: cost 10 inf + 0 481.960 * * [simplify]: Extracting #3: cost 66 inf + 0 481.961 * * [simplify]: Extracting #4: cost 117 inf + 44 481.961 * * [simplify]: Extracting #5: cost 149 inf + 1026 481.962 * * [simplify]: Extracting #6: cost 197 inf + 3302 481.964 * * [simplify]: Extracting #7: cost 150 inf + 13057 481.970 * * [simplify]: Extracting #8: cost 87 inf + 40827 481.979 * * [simplify]: Extracting #9: cost 50 inf + 55422 481.991 * * [simplify]: Extracting #10: cost 18 inf + 74729 482.009 * * [simplify]: Extracting #11: cost 3 inf + 89371 482.030 * * [simplify]: Extracting #12: cost 0 inf + 94766 482.048 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) 482.048 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 482.048 * * * * [progress]: [ 1464 / 5906 ] simplifiying candidate # 482.049 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 482.049 * * [simplify]: iters left: 6 (51 enodes) 482.062 * * [simplify]: iters left: 5 (245 enodes) 482.116 * * [simplify]: Extracting #0: cost 1 inf + 0 482.116 * * [simplify]: Extracting #1: cost 3 inf + 0 482.116 * * [simplify]: Extracting #2: cost 10 inf + 0 482.116 * * [simplify]: Extracting #3: cost 74 inf + 0 482.117 * * [simplify]: Extracting #4: cost 136 inf + 42 482.117 * * [simplify]: Extracting #5: cost 186 inf + 207 482.118 * * [simplify]: Extracting #6: cost 229 inf + 2819 482.120 * * [simplify]: Extracting #7: cost 182 inf + 10888 482.125 * * [simplify]: Extracting #8: cost 135 inf + 29849 482.132 * * [simplify]: Extracting #9: cost 97 inf + 45755 482.141 * * [simplify]: Extracting #10: cost 52 inf + 62387 482.153 * * [simplify]: Extracting #11: cost 29 inf + 80682 482.173 * * [simplify]: Extracting #12: cost 4 inf + 107987 482.197 * * [simplify]: Extracting #13: cost 1 inf + 112662 482.219 * * [simplify]: Extracting #14: cost 0 inf + 114647 482.242 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 482.242 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 482.242 * * * * [progress]: [ 1465 / 5906 ] simplifiying candidate # 482.243 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 482.243 * * [simplify]: iters left: 6 (46 enodes) 482.254 * * [simplify]: iters left: 5 (217 enodes) 482.302 * * [simplify]: Extracting #0: cost 1 inf + 0 482.302 * * [simplify]: Extracting #1: cost 3 inf + 0 482.302 * * [simplify]: Extracting #2: cost 10 inf + 0 482.302 * * [simplify]: Extracting #3: cost 65 inf + 0 482.302 * * [simplify]: Extracting #4: cost 117 inf + 44 482.303 * * [simplify]: Extracting #5: cost 144 inf + 1756 482.304 * * [simplify]: Extracting #6: cost 197 inf + 3302 482.306 * * [simplify]: Extracting #7: cost 151 inf + 12893 482.313 * * [simplify]: Extracting #8: cost 84 inf + 42220 482.323 * * [simplify]: Extracting #9: cost 47 inf + 57097 482.335 * * [simplify]: Extracting #10: cost 18 inf + 74169 482.352 * * [simplify]: Extracting #11: cost 3 inf + 89851 482.769 * * [simplify]: Extracting #12: cost 0 inf + 95246 482.787 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) 482.787 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 482.788 * * * * [progress]: [ 1466 / 5906 ] simplifiying candidate # 482.788 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 482.788 * * [simplify]: iters left: 6 (48 enodes) 482.800 * * [simplify]: iters left: 5 (230 enodes) 482.854 * * [simplify]: Extracting #0: cost 1 inf + 0 482.854 * * [simplify]: Extracting #1: cost 3 inf + 0 482.854 * * [simplify]: Extracting #2: cost 6 inf + 0 482.854 * * [simplify]: Extracting #3: cost 54 inf + 0 482.854 * * [simplify]: Extracting #4: cost 120 inf + 0 482.855 * * [simplify]: Extracting #5: cost 192 inf + 0 482.855 * * [simplify]: Extracting #6: cost 258 inf + 86 482.856 * * [simplify]: Extracting #7: cost 216 inf + 5371 482.859 * * [simplify]: Extracting #8: cost 140 inf + 21217 482.865 * * [simplify]: Extracting #9: cost 91 inf + 40959 482.876 * * [simplify]: Extracting #10: cost 41 inf + 64985 482.893 * * [simplify]: Extracting #11: cost 4 inf + 101948 482.914 * * [simplify]: Extracting #12: cost 0 inf + 106568 482.936 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 482.936 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 482.936 * * * * [progress]: [ 1467 / 5906 ] simplifiying candidate # 482.936 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 482.938 * * [simplify]: iters left: 6 (49 enodes) 482.950 * * [simplify]: iters left: 5 (239 enodes) 483.004 * * [simplify]: Extracting #0: cost 1 inf + 0 483.004 * * [simplify]: Extracting #1: cost 3 inf + 0 483.004 * * [simplify]: Extracting #2: cost 6 inf + 0 483.005 * * [simplify]: Extracting #3: cost 58 inf + 0 483.005 * * [simplify]: Extracting #4: cost 143 inf + 0 483.005 * * [simplify]: Extracting #5: cost 203 inf + 249 483.006 * * [simplify]: Extracting #6: cost 230 inf + 5245 483.009 * * [simplify]: Extracting #7: cost 191 inf + 11971 483.015 * * [simplify]: Extracting #8: cost 140 inf + 24257 483.021 * * [simplify]: Extracting #9: cost 96 inf + 40396 483.031 * * [simplify]: Extracting #10: cost 53 inf + 61420 483.043 * * [simplify]: Extracting #11: cost 32 inf + 74825 483.063 * * [simplify]: Extracting #12: cost 2 inf + 106655 483.085 * * [simplify]: Extracting #13: cost 0 inf + 109585 483.107 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 483.107 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 483.108 * * * * [progress]: [ 1468 / 5906 ] simplifiying candidate # 483.108 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 483.109 * * [simplify]: iters left: 6 (49 enodes) 483.121 * * [simplify]: iters left: 5 (239 enodes) 483.173 * * [simplify]: Extracting #0: cost 1 inf + 0 483.173 * * [simplify]: Extracting #1: cost 3 inf + 0 483.173 * * [simplify]: Extracting #2: cost 6 inf + 0 483.173 * * [simplify]: Extracting #3: cost 60 inf + 0 483.174 * * [simplify]: Extracting #4: cost 141 inf + 0 483.174 * * [simplify]: Extracting #5: cost 199 inf + 208 483.175 * * [simplify]: Extracting #6: cost 223 inf + 6048 483.180 * * [simplify]: Extracting #7: cost 189 inf + 12198 483.184 * * [simplify]: Extracting #8: cost 140 inf + 24270 483.190 * * [simplify]: Extracting #9: cost 95 inf + 41235 483.199 * * [simplify]: Extracting #10: cost 50 inf + 62727 483.211 * * [simplify]: Extracting #11: cost 32 inf + 73617 483.230 * * [simplify]: Extracting #12: cost 2 inf + 105527 483.251 * * [simplify]: Extracting #13: cost 0 inf + 108537 483.275 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 483.275 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 483.276 * * * * [progress]: [ 1469 / 5906 ] simplifiying candidate # 483.276 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 483.277 * * [simplify]: iters left: 6 (43 enodes) 483.288 * * [simplify]: iters left: 5 (203 enodes) 483.330 * * [simplify]: Extracting #0: cost 1 inf + 0 483.330 * * [simplify]: Extracting #1: cost 3 inf + 0 483.330 * * [simplify]: Extracting #2: cost 6 inf + 0 483.330 * * [simplify]: Extracting #3: cost 52 inf + 0 483.330 * * [simplify]: Extracting #4: cost 109 inf + 0 483.330 * * [simplify]: Extracting #5: cost 146 inf + 250 483.331 * * [simplify]: Extracting #6: cost 194 inf + 1800 483.332 * * [simplify]: Extracting #7: cost 183 inf + 3994 483.335 * * [simplify]: Extracting #8: cost 108 inf + 21753 483.345 * * [simplify]: Extracting #9: cost 46 inf + 50059 483.360 * * [simplify]: Extracting #10: cost 5 inf + 80425 483.377 * * [simplify]: Extracting #11: cost 0 inf + 86076 483.394 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))))))) 483.394 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 483.394 * * * * [progress]: [ 1470 / 5906 ] simplifiying candidate # 483.394 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 483.395 * * [simplify]: iters left: 6 (48 enodes) 483.407 * * [simplify]: iters left: 5 (231 enodes) 483.457 * * [simplify]: Extracting #0: cost 1 inf + 0 483.457 * * [simplify]: Extracting #1: cost 3 inf + 0 483.457 * * [simplify]: Extracting #2: cost 10 inf + 0 483.457 * * [simplify]: Extracting #3: cost 72 inf + 0 483.458 * * [simplify]: Extracting #4: cost 127 inf + 1 483.458 * * [simplify]: Extracting #5: cost 174 inf + 85 483.459 * * [simplify]: Extracting #6: cost 221 inf + 1880 483.460 * * [simplify]: Extracting #7: cost 199 inf + 6063 483.464 * * [simplify]: Extracting #8: cost 130 inf + 23982 483.472 * * [simplify]: Extracting #9: cost 51 inf + 57808 483.490 * * [simplify]: Extracting #10: cost 4 inf + 98189 483.510 * * [simplify]: Extracting #11: cost 0 inf + 102207 483.533 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 483.533 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 483.533 * * * * [progress]: [ 1471 / 5906 ] simplifiying candidate # 483.534 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 483.534 * * [simplify]: iters left: 6 (43 enodes) 483.545 * * [simplify]: iters left: 5 (203 enodes) 483.588 * * [simplify]: Extracting #0: cost 1 inf + 0 483.588 * * [simplify]: Extracting #1: cost 3 inf + 0 483.588 * * [simplify]: Extracting #2: cost 10 inf + 0 483.588 * * [simplify]: Extracting #3: cost 64 inf + 0 483.588 * * [simplify]: Extracting #4: cost 106 inf + 86 483.589 * * [simplify]: Extracting #5: cost 135 inf + 1107 483.590 * * [simplify]: Extracting #6: cost 185 inf + 2932 483.591 * * [simplify]: Extracting #7: cost 183 inf + 4031 483.594 * * [simplify]: Extracting #8: cost 109 inf + 23059 483.609 * * [simplify]: Extracting #9: cost 21 inf + 69709 483.626 * * [simplify]: Extracting #10: cost 1 inf + 82914 483.643 * * [simplify]: Extracting #11: cost 0 inf + 82886 483.659 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 483.659 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 483.660 * * * * [progress]: [ 1472 / 5906 ] simplifiying candidate # 483.660 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 483.660 * * [simplify]: iters left: 6 (48 enodes) 483.673 * * [simplify]: iters left: 5 (231 enodes) 483.723 * * [simplify]: Extracting #0: cost 1 inf + 0 483.723 * * [simplify]: Extracting #1: cost 3 inf + 0 483.723 * * [simplify]: Extracting #2: cost 10 inf + 0 483.723 * * [simplify]: Extracting #3: cost 72 inf + 0 483.723 * * [simplify]: Extracting #4: cost 127 inf + 1 483.724 * * [simplify]: Extracting #5: cost 172 inf + 168 483.725 * * [simplify]: Extracting #6: cost 219 inf + 2203 483.726 * * [simplify]: Extracting #7: cost 199 inf + 6063 483.729 * * [simplify]: Extracting #8: cost 129 inf + 24181 483.737 * * [simplify]: Extracting #9: cost 51 inf + 57888 483.755 * * [simplify]: Extracting #10: cost 4 inf + 98869 483.778 * * [simplify]: Extracting #11: cost 0 inf + 103087 483.798 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 483.798 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 483.799 * * * * [progress]: [ 1473 / 5906 ] simplifiying candidate # 483.799 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 483.800 * * [simplify]: iters left: 6 (43 enodes) 483.810 * * [simplify]: iters left: 5 (203 enodes) 483.852 * * [simplify]: Extracting #0: cost 1 inf + 0 483.852 * * [simplify]: Extracting #1: cost 3 inf + 0 483.852 * * [simplify]: Extracting #2: cost 10 inf + 0 483.852 * * [simplify]: Extracting #3: cost 63 inf + 0 483.852 * * [simplify]: Extracting #4: cost 107 inf + 44 483.853 * * [simplify]: Extracting #5: cost 136 inf + 1145 483.856 * * [simplify]: Extracting #6: cost 186 inf + 2770 483.857 * * [simplify]: Extracting #7: cost 184 inf + 3668 483.860 * * [simplify]: Extracting #8: cost 126 inf + 18633 483.869 * * [simplify]: Extracting #9: cost 49 inf + 52740 483.882 * * [simplify]: Extracting #10: cost 12 inf + 70745 483.898 * * [simplify]: Extracting #11: cost 3 inf + 78491 483.915 * * [simplify]: Extracting #12: cost 0 inf + 83206 483.932 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) 483.932 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 483.932 * * * * [progress]: [ 1474 / 5906 ] simplifiying candidate # 483.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 483.933 * * [simplify]: iters left: 6 (51 enodes) 483.947 * * [simplify]: iters left: 5 (243 enodes) 483.999 * * [simplify]: Extracting #0: cost 1 inf + 0 483.999 * * [simplify]: Extracting #1: cost 3 inf + 0 483.999 * * [simplify]: Extracting #2: cost 6 inf + 0 483.999 * * [simplify]: Extracting #3: cost 56 inf + 0 484.000 * * [simplify]: Extracting #4: cost 130 inf + 0 484.000 * * [simplify]: Extracting #5: cost 208 inf + 0 484.001 * * [simplify]: Extracting #6: cost 259 inf + 2478 484.004 * * [simplify]: Extracting #7: cost 185 inf + 21358 484.010 * * [simplify]: Extracting #8: cost 127 inf + 42190 484.020 * * [simplify]: Extracting #9: cost 89 inf + 50014 484.030 * * [simplify]: Extracting #10: cost 53 inf + 63563 484.044 * * [simplify]: Extracting #11: cost 31 inf + 82953 484.065 * * [simplify]: Extracting #12: cost 2 inf + 118758 484.089 * * [simplify]: Extracting #13: cost 0 inf + 122128 484.113 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 484.113 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 484.113 * * * * [progress]: [ 1475 / 5906 ] simplifiying candidate # 484.113 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 484.114 * * [simplify]: iters left: 6 (52 enodes) 484.128 * * [simplify]: iters left: 5 (252 enodes) 484.183 * * [simplify]: Extracting #0: cost 1 inf + 0 484.183 * * [simplify]: Extracting #1: cost 3 inf + 0 484.183 * * [simplify]: Extracting #2: cost 6 inf + 0 484.183 * * [simplify]: Extracting #3: cost 60 inf + 0 484.183 * * [simplify]: Extracting #4: cost 153 inf + 0 484.184 * * [simplify]: Extracting #5: cost 222 inf + 44 484.185 * * [simplify]: Extracting #6: cost 245 inf + 4929 484.190 * * [simplify]: Extracting #7: cost 193 inf + 14887 484.194 * * [simplify]: Extracting #8: cost 154 inf + 23665 484.201 * * [simplify]: Extracting #9: cost 104 inf + 42728 484.212 * * [simplify]: Extracting #10: cost 50 inf + 69775 484.233 * * [simplify]: Extracting #11: cost 7 inf + 116690 484.256 * * [simplify]: Extracting #12: cost 1 inf + 123760 484.280 * * [simplify]: Extracting #13: cost 0 inf + 125985 484.305 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ lambda1 lambda2))))))) 484.305 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 484.306 * * * * [progress]: [ 1476 / 5906 ] simplifiying candidate # 484.306 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 484.306 * * [simplify]: iters left: 6 (52 enodes) 484.319 * * [simplify]: iters left: 5 (252 enodes) 484.376 * * [simplify]: Extracting #0: cost 1 inf + 0 484.376 * * [simplify]: Extracting #1: cost 3 inf + 0 484.376 * * [simplify]: Extracting #2: cost 6 inf + 0 484.376 * * [simplify]: Extracting #3: cost 62 inf + 0 484.376 * * [simplify]: Extracting #4: cost 151 inf + 0 484.377 * * [simplify]: Extracting #5: cost 218 inf + 44 484.378 * * [simplify]: Extracting #6: cost 255 inf + 2862 484.380 * * [simplify]: Extracting #7: cost 197 inf + 12069 484.385 * * [simplify]: Extracting #8: cost 132 inf + 29673 484.394 * * [simplify]: Extracting #9: cost 63 inf + 58652 484.406 * * [simplify]: Extracting #10: cost 37 inf + 77252 484.426 * * [simplify]: Extracting #11: cost 4 inf + 114757 484.451 * * [simplify]: Extracting #12: cost 1 inf + 120032 484.474 * * [simplify]: Extracting #13: cost 0 inf + 122177 484.498 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 484.498 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 484.498 * * * * [progress]: [ 1477 / 5906 ] simplifiying candidate # 484.498 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 484.499 * * [simplify]: iters left: 6 (46 enodes) 484.510 * * [simplify]: iters left: 5 (216 enodes) 484.559 * * [simplify]: Extracting #0: cost 1 inf + 0 484.559 * * [simplify]: Extracting #1: cost 3 inf + 0 484.559 * * [simplify]: Extracting #2: cost 6 inf + 0 484.559 * * [simplify]: Extracting #3: cost 54 inf + 0 484.560 * * [simplify]: Extracting #4: cost 119 inf + 0 484.560 * * [simplify]: Extracting #5: cost 165 inf + 85 484.561 * * [simplify]: Extracting #6: cost 205 inf + 2292 484.563 * * [simplify]: Extracting #7: cost 166 inf + 8826 484.567 * * [simplify]: Extracting #8: cost 128 inf + 22851 484.573 * * [simplify]: Extracting #9: cost 90 inf + 39686 484.582 * * [simplify]: Extracting #10: cost 44 inf + 55909 484.597 * * [simplify]: Extracting #11: cost 10 inf + 86546 484.616 * * [simplify]: Extracting #12: cost 1 inf + 97291 484.638 * * [simplify]: Extracting #13: cost 0 inf + 99196 484.659 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 484.659 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 484.659 * * * * [progress]: [ 1478 / 5906 ] simplifiying candidate # 484.659 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 484.660 * * [simplify]: iters left: 6 (51 enodes) 484.673 * * [simplify]: iters left: 5 (244 enodes) 484.726 * * [simplify]: Extracting #0: cost 1 inf + 0 484.726 * * [simplify]: Extracting #1: cost 3 inf + 0 484.726 * * [simplify]: Extracting #2: cost 10 inf + 0 484.726 * * [simplify]: Extracting #3: cost 74 inf + 0 484.727 * * [simplify]: Extracting #4: cost 137 inf + 1 484.727 * * [simplify]: Extracting #5: cost 187 inf + 249 484.728 * * [simplify]: Extracting #6: cost 229 inf + 2660 484.730 * * [simplify]: Extracting #7: cost 176 inf + 12371 484.734 * * [simplify]: Extracting #8: cost 138 inf + 26621 484.741 * * [simplify]: Extracting #9: cost 95 inf + 42937 484.750 * * [simplify]: Extracting #10: cost 56 inf + 59247 484.762 * * [simplify]: Extracting #11: cost 28 inf + 80787 484.783 * * [simplify]: Extracting #12: cost 3 inf + 109332 484.808 * * [simplify]: Extracting #13: cost 1 inf + 112982 484.830 * * [simplify]: Extracting #14: cost 0 inf + 115047 484.854 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) 484.854 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 484.855 * * * * [progress]: [ 1479 / 5906 ] simplifiying candidate # 484.855 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 484.855 * * [simplify]: iters left: 6 (46 enodes) 484.867 * * [simplify]: iters left: 5 (216 enodes) 484.913 * * [simplify]: Extracting #0: cost 1 inf + 0 484.913 * * [simplify]: Extracting #1: cost 3 inf + 0 484.913 * * [simplify]: Extracting #2: cost 10 inf + 0 484.913 * * [simplify]: Extracting #3: cost 66 inf + 0 484.914 * * [simplify]: Extracting #4: cost 117 inf + 44 484.914 * * [simplify]: Extracting #5: cost 154 inf + 740 484.915 * * [simplify]: Extracting #6: cost 201 inf + 2654 484.916 * * [simplify]: Extracting #7: cost 170 inf + 7698 484.921 * * [simplify]: Extracting #8: cost 104 inf + 30330 484.930 * * [simplify]: Extracting #9: cost 43 inf + 57917 484.945 * * [simplify]: Extracting #10: cost 5 inf + 89427 484.964 * * [simplify]: Extracting #11: cost 0 inf + 95206 484.985 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) 484.985 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 484.986 * * * * [progress]: [ 1480 / 5906 ] simplifiying candidate # 484.986 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 484.986 * * [simplify]: iters left: 6 (51 enodes) 484.999 * * [simplify]: iters left: 5 (244 enodes) 485.055 * * [simplify]: Extracting #0: cost 1 inf + 0 485.055 * * [simplify]: Extracting #1: cost 3 inf + 0 485.055 * * [simplify]: Extracting #2: cost 10 inf + 0 485.055 * * [simplify]: Extracting #3: cost 74 inf + 0 485.056 * * [simplify]: Extracting #4: cost 137 inf + 1 485.056 * * [simplify]: Extracting #5: cost 188 inf + 207 485.057 * * [simplify]: Extracting #6: cost 225 inf + 3550 485.060 * * [simplify]: Extracting #7: cost 170 inf + 14749 485.064 * * [simplify]: Extracting #8: cost 137 inf + 27425 485.070 * * [simplify]: Extracting #9: cost 95 inf + 43817 485.080 * * [simplify]: Extracting #10: cost 56 inf + 60207 485.094 * * [simplify]: Extracting #11: cost 27 inf + 82692 485.118 * * [simplify]: Extracting #12: cost 3 inf + 110292 485.142 * * [simplify]: Extracting #13: cost 1 inf + 113942 485.166 * * [simplify]: Extracting #14: cost 0 inf + 116007 485.189 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) 485.189 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 485.190 * * * * [progress]: [ 1481 / 5906 ] simplifiying candidate # 485.190 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 485.190 * * [simplify]: iters left: 6 (46 enodes) 485.202 * * [simplify]: iters left: 5 (216 enodes) 485.249 * * [simplify]: Extracting #0: cost 1 inf + 0 485.249 * * [simplify]: Extracting #1: cost 3 inf + 0 485.249 * * [simplify]: Extracting #2: cost 10 inf + 0 485.249 * * [simplify]: Extracting #3: cost 65 inf + 0 485.250 * * [simplify]: Extracting #4: cost 117 inf + 44 485.250 * * [simplify]: Extracting #5: cost 152 inf + 944 485.251 * * [simplify]: Extracting #6: cost 198 inf + 3140 485.253 * * [simplify]: Extracting #7: cost 166 inf + 8185 485.258 * * [simplify]: Extracting #8: cost 95 inf + 34974 485.267 * * [simplify]: Extracting #9: cost 35 inf + 62731 485.283 * * [simplify]: Extracting #10: cost 4 inf + 91532 485.301 * * [simplify]: Extracting #11: cost 0 inf + 95486 485.322 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 485.323 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 485.323 * * * * [progress]: [ 1482 / 5906 ] simplifiying candidate # 485.323 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 485.324 * * [simplify]: iters left: 6 (52 enodes) 485.337 * * [simplify]: iters left: 5 (254 enodes) 485.393 * * [simplify]: Extracting #0: cost 1 inf + 0 485.393 * * [simplify]: Extracting #1: cost 3 inf + 0 485.393 * * [simplify]: Extracting #2: cost 6 inf + 0 485.393 * * [simplify]: Extracting #3: cost 56 inf + 0 485.396 * * [simplify]: Extracting #4: cost 130 inf + 0 485.397 * * [simplify]: Extracting #5: cost 212 inf + 0 485.397 * * [simplify]: Extracting #6: cost 297 inf + 1189 485.400 * * [simplify]: Extracting #7: cost 236 inf + 12792 485.405 * * [simplify]: Extracting #8: cost 146 inf + 37213 485.415 * * [simplify]: Extracting #9: cost 97 inf + 54629 485.426 * * [simplify]: Extracting #10: cost 53 inf + 73453 485.446 * * [simplify]: Extracting #11: cost 12 inf + 115998 485.470 * * [simplify]: Extracting #12: cost 1 inf + 129513 485.497 * * [simplify]: Extracting #13: cost 0 inf + 131578 485.523 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 485.523 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 485.524 * * * * [progress]: [ 1483 / 5906 ] simplifiying candidate # 485.524 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 485.524 * * [simplify]: iters left: 6 (53 enodes) 485.538 * * [simplify]: iters left: 5 (263 enodes) 485.598 * * [simplify]: Extracting #0: cost 1 inf + 0 485.598 * * [simplify]: Extracting #1: cost 3 inf + 0 485.598 * * [simplify]: Extracting #2: cost 6 inf + 0 485.598 * * [simplify]: Extracting #3: cost 60 inf + 0 485.598 * * [simplify]: Extracting #4: cost 153 inf + 0 485.599 * * [simplify]: Extracting #5: cost 225 inf + 86 485.600 * * [simplify]: Extracting #6: cost 278 inf + 4039 485.603 * * [simplify]: Extracting #7: cost 230 inf + 13126 485.609 * * [simplify]: Extracting #8: cost 138 inf + 39202 485.621 * * [simplify]: Extracting #9: cost 56 inf + 76062 485.641 * * [simplify]: Extracting #10: cost 10 inf + 121905 485.669 * * [simplify]: Extracting #11: cost 0 inf + 134355 485.695 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 485.695 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 485.695 * * * * [progress]: [ 1484 / 5906 ] simplifiying candidate # 485.696 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 485.696 * * [simplify]: iters left: 6 (53 enodes) 485.710 * * [simplify]: iters left: 5 (263 enodes) 485.771 * * [simplify]: Extracting #0: cost 1 inf + 0 485.771 * * [simplify]: Extracting #1: cost 3 inf + 0 485.771 * * [simplify]: Extracting #2: cost 6 inf + 0 485.771 * * [simplify]: Extracting #3: cost 62 inf + 0 485.772 * * [simplify]: Extracting #4: cost 151 inf + 0 485.772 * * [simplify]: Extracting #5: cost 221 inf + 86 485.773 * * [simplify]: Extracting #6: cost 274 inf + 4520 485.776 * * [simplify]: Extracting #7: cost 228 inf + 13192 485.782 * * [simplify]: Extracting #8: cost 154 inf + 36763 485.791 * * [simplify]: Extracting #9: cost 94 inf + 59231 485.805 * * [simplify]: Extracting #10: cost 40 inf + 85627 485.829 * * [simplify]: Extracting #11: cost 4 inf + 126567 485.854 * * [simplify]: Extracting #12: cost 0 inf + 133347 485.880 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 485.880 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 485.881 * * * * [progress]: [ 1485 / 5906 ] simplifiying candidate # 485.881 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 485.881 * * [simplify]: iters left: 6 (47 enodes) 485.893 * * [simplify]: iters left: 5 (227 enodes) 485.942 * * [simplify]: Extracting #0: cost 1 inf + 0 485.942 * * [simplify]: Extracting #1: cost 3 inf + 0 485.942 * * [simplify]: Extracting #2: cost 6 inf + 0 485.942 * * [simplify]: Extracting #3: cost 54 inf + 0 485.942 * * [simplify]: Extracting #4: cost 119 inf + 0 485.943 * * [simplify]: Extracting #5: cost 170 inf + 44 485.943 * * [simplify]: Extracting #6: cost 241 inf + 1076 485.945 * * [simplify]: Extracting #7: cost 202 inf + 8499 485.949 * * [simplify]: Extracting #8: cost 150 inf + 19489 485.956 * * [simplify]: Extracting #9: cost 94 inf + 45267 485.966 * * [simplify]: Extracting #10: cost 47 inf + 63417 485.985 * * [simplify]: Extracting #11: cost 5 inf + 101641 486.007 * * [simplify]: Extracting #12: cost 1 inf + 107541 486.029 * * [simplify]: Extracting #13: cost 0 inf + 109486 486.051 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 486.051 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 486.052 * * * * [progress]: [ 1486 / 5906 ] simplifiying candidate # 486.052 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 486.053 * * [simplify]: iters left: 6 (52 enodes) 486.066 * * [simplify]: iters left: 5 (255 enodes) 486.122 * * [simplify]: Extracting #0: cost 1 inf + 0 486.122 * * [simplify]: Extracting #1: cost 3 inf + 0 486.122 * * [simplify]: Extracting #2: cost 10 inf + 0 486.122 * * [simplify]: Extracting #3: cost 74 inf + 0 486.122 * * [simplify]: Extracting #4: cost 137 inf + 1 486.123 * * [simplify]: Extracting #5: cost 191 inf + 248 486.124 * * [simplify]: Extracting #6: cost 255 inf + 3543 486.126 * * [simplify]: Extracting #7: cost 207 inf + 13892 486.130 * * [simplify]: Extracting #8: cost 150 inf + 27669 486.138 * * [simplify]: Extracting #9: cost 103 inf + 47347 486.150 * * [simplify]: Extracting #10: cost 59 inf + 66344 486.164 * * [simplify]: Extracting #11: cost 32 inf + 83737 486.185 * * [simplify]: Extracting #12: cost 3 inf + 116422 486.208 * * [simplify]: Extracting #13: cost 1 inf + 120432 486.233 * * [simplify]: Extracting #14: cost 0 inf + 122497 486.258 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 486.258 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 486.258 * * * * [progress]: [ 1487 / 5906 ] simplifiying candidate # 486.259 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 486.259 * * [simplify]: iters left: 6 (47 enodes) 486.271 * * [simplify]: iters left: 5 (227 enodes) 486.318 * * [simplify]: Extracting #0: cost 1 inf + 0 486.318 * * [simplify]: Extracting #1: cost 3 inf + 0 486.318 * * [simplify]: Extracting #2: cost 10 inf + 0 486.318 * * [simplify]: Extracting #3: cost 66 inf + 0 486.319 * * [simplify]: Extracting #4: cost 117 inf + 44 486.319 * * [simplify]: Extracting #5: cost 154 inf + 1228 486.320 * * [simplify]: Extracting #6: cost 229 inf + 2934 486.322 * * [simplify]: Extracting #7: cost 206 inf + 7126 486.327 * * [simplify]: Extracting #8: cost 133 inf + 24437 486.336 * * [simplify]: Extracting #9: cost 62 inf + 54793 486.351 * * [simplify]: Extracting #10: cost 15 inf + 86161 486.371 * * [simplify]: Extracting #11: cost 3 inf + 99661 486.391 * * [simplify]: Extracting #12: cost 1 inf + 103431 486.412 * * [simplify]: Extracting #13: cost 0 inf + 105336 486.433 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 486.433 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 486.434 * * * * [progress]: [ 1488 / 5906 ] simplifiying candidate # 486.434 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 486.434 * * [simplify]: iters left: 6 (52 enodes) 486.447 * * [simplify]: iters left: 5 (255 enodes) 486.504 * * [simplify]: Extracting #0: cost 1 inf + 0 486.505 * * [simplify]: Extracting #1: cost 3 inf + 0 486.505 * * [simplify]: Extracting #2: cost 10 inf + 0 486.505 * * [simplify]: Extracting #3: cost 74 inf + 0 486.505 * * [simplify]: Extracting #4: cost 137 inf + 1 486.505 * * [simplify]: Extracting #5: cost 191 inf + 248 486.506 * * [simplify]: Extracting #6: cost 259 inf + 2414 486.508 * * [simplify]: Extracting #7: cost 211 inf + 12844 486.513 * * [simplify]: Extracting #8: cost 150 inf + 27669 486.521 * * [simplify]: Extracting #9: cost 97 inf + 51395 486.532 * * [simplify]: Extracting #10: cost 52 inf + 71799 486.551 * * [simplify]: Extracting #11: cost 7 inf + 112042 486.574 * * [simplify]: Extracting #12: cost 1 inf + 120432 486.600 * * [simplify]: Extracting #13: cost 0 inf + 122457 486.624 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 486.624 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 486.625 * * * * [progress]: [ 1489 / 5906 ] simplifiying candidate # 486.626 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 486.626 * * [simplify]: iters left: 6 (47 enodes) 486.638 * * [simplify]: iters left: 5 (227 enodes) 486.689 * * [simplify]: Extracting #0: cost 1 inf + 0 486.689 * * [simplify]: Extracting #1: cost 3 inf + 0 486.689 * * [simplify]: Extracting #2: cost 10 inf + 0 486.689 * * [simplify]: Extracting #3: cost 65 inf + 0 486.689 * * [simplify]: Extracting #4: cost 116 inf + 86 486.690 * * [simplify]: Extracting #5: cost 152 inf + 1553 486.691 * * [simplify]: Extracting #6: cost 230 inf + 2772 486.692 * * [simplify]: Extracting #7: cost 205 inf + 7328 486.696 * * [simplify]: Extracting #8: cost 131 inf + 25543 486.705 * * [simplify]: Extracting #9: cost 63 inf + 54690 486.719 * * [simplify]: Extracting #10: cost 15 inf + 86561 486.738 * * [simplify]: Extracting #11: cost 3 inf + 100061 486.760 * * [simplify]: Extracting #12: cost 1 inf + 103831 486.781 * * [simplify]: Extracting #13: cost 0 inf + 105736 486.801 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) 486.801 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 486.802 * * * * [progress]: [ 1490 / 5906 ] simplifiying candidate # 486.802 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 486.803 * * [simplify]: iters left: 6 (52 enodes) 486.816 * * [simplify]: iters left: 5 (250 enodes) 486.870 * * [simplify]: Extracting #0: cost 1 inf + 0 486.870 * * [simplify]: Extracting #1: cost 3 inf + 0 486.870 * * [simplify]: Extracting #2: cost 6 inf + 0 486.870 * * [simplify]: Extracting #3: cost 53 inf + 0 486.870 * * [simplify]: Extracting #4: cost 118 inf + 0 486.871 * * [simplify]: Extracting #5: cost 183 inf + 0 486.871 * * [simplify]: Extracting #6: cost 264 inf + 89 486.873 * * [simplify]: Extracting #7: cost 205 inf + 8902 486.877 * * [simplify]: Extracting #8: cost 133 inf + 26115 486.884 * * [simplify]: Extracting #9: cost 85 inf + 44516 486.894 * * [simplify]: Extracting #10: cost 49 inf + 60423 486.911 * * [simplify]: Extracting #11: cost 7 inf + 105033 486.935 * * [simplify]: Extracting #12: cost 1 inf + 112343 486.957 * * [simplify]: Extracting #13: cost 0 inf + 114208 486.981 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 486.981 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 486.982 * * * * [progress]: [ 1491 / 5906 ] simplifiying candidate # 486.982 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 486.982 * * [simplify]: iters left: 6 (53 enodes) 486.996 * * [simplify]: iters left: 5 (259 enodes) 487.052 * * [simplify]: Extracting #0: cost 1 inf + 0 487.052 * * [simplify]: Extracting #1: cost 3 inf + 0 487.052 * * [simplify]: Extracting #2: cost 6 inf + 0 487.052 * * [simplify]: Extracting #3: cost 56 inf + 0 487.052 * * [simplify]: Extracting #4: cost 140 inf + 0 487.052 * * [simplify]: Extracting #5: cost 195 inf + 85 487.053 * * [simplify]: Extracting #6: cost 244 inf + 3108 487.056 * * [simplify]: Extracting #7: cost 193 inf + 12753 487.061 * * [simplify]: Extracting #8: cost 130 inf + 29488 487.068 * * [simplify]: Extracting #9: cost 88 inf + 48810 487.079 * * [simplify]: Extracting #10: cost 47 inf + 65825 487.099 * * [simplify]: Extracting #11: cost 8 inf + 104720 487.121 * * [simplify]: Extracting #12: cost 0 inf + 116160 487.144 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 487.144 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 487.145 * * * * [progress]: [ 1492 / 5906 ] simplifiying candidate # 487.145 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 487.146 * * [simplify]: iters left: 6 (53 enodes) 487.159 * * [simplify]: iters left: 5 (259 enodes) 487.214 * * [simplify]: Extracting #0: cost 1 inf + 0 487.215 * * [simplify]: Extracting #1: cost 3 inf + 0 487.215 * * [simplify]: Extracting #2: cost 6 inf + 0 487.215 * * [simplify]: Extracting #3: cost 58 inf + 0 487.215 * * [simplify]: Extracting #4: cost 138 inf + 0 487.215 * * [simplify]: Extracting #5: cost 192 inf + 44 487.216 * * [simplify]: Extracting #6: cost 237 inf + 4518 487.219 * * [simplify]: Extracting #7: cost 186 inf + 14038 487.224 * * [simplify]: Extracting #8: cost 130 inf + 30391 487.232 * * [simplify]: Extracting #9: cost 82 inf + 50510 487.242 * * [simplify]: Extracting #10: cost 51 inf + 61317 487.256 * * [simplify]: Extracting #11: cost 34 inf + 73542 487.275 * * [simplify]: Extracting #12: cost 6 inf + 103202 487.298 * * [simplify]: Extracting #13: cost 0 inf + 111072 487.320 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 487.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 487.321 * * * * [progress]: [ 1493 / 5906 ] simplifiying candidate # 487.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 487.321 * * [simplify]: iters left: 6 (47 enodes) 487.333 * * [simplify]: iters left: 5 (222 enodes) 487.379 * * [simplify]: Extracting #0: cost 1 inf + 0 487.379 * * [simplify]: Extracting #1: cost 3 inf + 0 487.379 * * [simplify]: Extracting #2: cost 6 inf + 0 487.379 * * [simplify]: Extracting #3: cost 50 inf + 0 487.379 * * [simplify]: Extracting #4: cost 107 inf + 0 487.379 * * [simplify]: Extracting #5: cost 137 inf + 412 487.380 * * [simplify]: Extracting #6: cost 195 inf + 2372 487.382 * * [simplify]: Extracting #7: cost 166 inf + 7534 487.386 * * [simplify]: Extracting #8: cost 96 inf + 28880 487.395 * * [simplify]: Extracting #9: cost 49 inf + 49294 487.408 * * [simplify]: Extracting #10: cost 13 inf + 77514 487.427 * * [simplify]: Extracting #11: cost 0 inf + 90373 487.445 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 487.445 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 487.445 * * * * [progress]: [ 1494 / 5906 ] simplifiying candidate # 487.446 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 487.446 * * [simplify]: iters left: 6 (52 enodes) 487.459 * * [simplify]: iters left: 5 (250 enodes) 487.512 * * [simplify]: Extracting #0: cost 1 inf + 0 487.513 * * [simplify]: Extracting #1: cost 3 inf + 0 487.513 * * [simplify]: Extracting #2: cost 10 inf + 0 487.513 * * [simplify]: Extracting #3: cost 66 inf + 0 487.513 * * [simplify]: Extracting #4: cost 126 inf + 1 487.513 * * [simplify]: Extracting #5: cost 164 inf + 207 487.514 * * [simplify]: Extracting #6: cost 228 inf + 1925 487.516 * * [simplify]: Extracting #7: cost 198 inf + 7244 487.519 * * [simplify]: Extracting #8: cost 140 inf + 21739 487.524 * * [simplify]: Extracting #9: cost 98 inf + 36324 487.534 * * [simplify]: Extracting #10: cost 47 inf + 59419 487.551 * * [simplify]: Extracting #11: cost 4 inf + 98412 487.571 * * [simplify]: Extracting #12: cost 1 inf + 102967 487.595 * * [simplify]: Extracting #13: cost 0 inf + 104792 487.616 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 487.616 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 487.617 * * * * [progress]: [ 1495 / 5906 ] simplifiying candidate # 487.617 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 487.618 * * [simplify]: iters left: 6 (47 enodes) 487.630 * * [simplify]: iters left: 5 (223 enodes) 487.676 * * [simplify]: Extracting #0: cost 1 inf + 0 487.676 * * [simplify]: Extracting #1: cost 3 inf + 0 487.676 * * [simplify]: Extracting #2: cost 10 inf + 0 487.676 * * [simplify]: Extracting #3: cost 57 inf + 0 487.676 * * [simplify]: Extracting #4: cost 105 inf + 44 487.677 * * [simplify]: Extracting #5: cost 130 inf + 820 487.678 * * [simplify]: Extracting #6: cost 191 inf + 3016 487.679 * * [simplify]: Extracting #7: cost 159 inf + 9347 487.684 * * [simplify]: Extracting #8: cost 115 inf + 24624 487.690 * * [simplify]: Extracting #9: cost 83 inf + 35797 487.698 * * [simplify]: Extracting #10: cost 40 inf + 51522 487.711 * * [simplify]: Extracting #11: cost 6 inf + 79479 487.727 * * [simplify]: Extracting #12: cost 0 inf + 87229 487.743 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 487.743 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 487.744 * * * * [progress]: [ 1496 / 5906 ] simplifiying candidate # 487.744 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 487.744 * * [simplify]: iters left: 6 (52 enodes) 487.759 * * [simplify]: iters left: 5 (250 enodes) 487.811 * * [simplify]: Extracting #0: cost 1 inf + 0 487.811 * * [simplify]: Extracting #1: cost 3 inf + 0 487.811 * * [simplify]: Extracting #2: cost 10 inf + 0 487.811 * * [simplify]: Extracting #3: cost 66 inf + 0 487.811 * * [simplify]: Extracting #4: cost 126 inf + 1 487.812 * * [simplify]: Extracting #5: cost 164 inf + 207 487.813 * * [simplify]: Extracting #6: cost 227 inf + 2045 487.814 * * [simplify]: Extracting #7: cost 197 inf + 7446 487.817 * * [simplify]: Extracting #8: cost 142 inf + 20723 487.823 * * [simplify]: Extracting #9: cost 99 inf + 35800 487.834 * * [simplify]: Extracting #10: cost 47 inf + 60059 487.851 * * [simplify]: Extracting #11: cost 4 inf + 99212 487.872 * * [simplify]: Extracting #12: cost 1 inf + 103767 487.892 * * [simplify]: Extracting #13: cost 0 inf + 105592 487.915 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) 487.915 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 487.915 * * * * [progress]: [ 1497 / 5906 ] simplifiying candidate # 487.916 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 487.916 * * [simplify]: iters left: 6 (47 enodes) 487.930 * * [simplify]: iters left: 5 (223 enodes) 487.974 * * [simplify]: Extracting #0: cost 1 inf + 0 487.974 * * [simplify]: Extracting #1: cost 3 inf + 0 487.974 * * [simplify]: Extracting #2: cost 10 inf + 0 487.974 * * [simplify]: Extracting #3: cost 56 inf + 0 487.974 * * [simplify]: Extracting #4: cost 104 inf + 86 487.975 * * [simplify]: Extracting #5: cost 125 inf + 1350 487.976 * * [simplify]: Extracting #6: cost 191 inf + 2976 487.977 * * [simplify]: Extracting #7: cost 163 inf + 8861 487.982 * * [simplify]: Extracting #8: cost 96 inf + 30776 487.991 * * [simplify]: Extracting #9: cost 47 inf + 50667 488.006 * * [simplify]: Extracting #10: cost 7 inf + 80347 488.022 * * [simplify]: Extracting #11: cost 0 inf + 88509 488.038 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ phi1 phi2))))) 488.039 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 488.039 * * * * [progress]: [ 1498 / 5906 ] simplifiying candidate # 488.039 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 488.040 * * [simplify]: iters left: 6 (48 enodes) 488.052 * * [simplify]: iters left: 5 (227 enodes) 488.105 * * [simplify]: Extracting #0: cost 1 inf + 0 488.105 * * [simplify]: Extracting #1: cost 3 inf + 0 488.105 * * [simplify]: Extracting #2: cost 6 inf + 0 488.105 * * [simplify]: Extracting #3: cost 48 inf + 0 488.105 * * [simplify]: Extracting #4: cost 112 inf + 0 488.105 * * [simplify]: Extracting #5: cost 181 inf + 0 488.106 * * [simplify]: Extracting #6: cost 243 inf + 342 488.107 * * [simplify]: Extracting #7: cost 206 inf + 5600 488.111 * * [simplify]: Extracting #8: cost 105 inf + 28721 488.120 * * [simplify]: Extracting #9: cost 47 inf + 56459 488.136 * * [simplify]: Extracting #10: cost 4 inf + 97404 488.156 * * [simplify]: Extracting #11: cost 0 inf + 102464 488.178 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 488.178 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 488.179 * * * * [progress]: [ 1499 / 5906 ] simplifiying candidate # 488.179 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 488.179 * * [simplify]: iters left: 6 (49 enodes) 488.192 * * [simplify]: iters left: 5 (236 enodes) 488.244 * * [simplify]: Extracting #0: cost 1 inf + 0 488.244 * * [simplify]: Extracting #1: cost 3 inf + 0 488.244 * * [simplify]: Extracting #2: cost 6 inf + 0 488.245 * * [simplify]: Extracting #3: cost 52 inf + 0 488.245 * * [simplify]: Extracting #4: cost 135 inf + 0 488.245 * * [simplify]: Extracting #5: cost 193 inf + 127 488.246 * * [simplify]: Extracting #6: cost 217 inf + 4927 488.251 * * [simplify]: Extracting #7: cost 174 inf + 13958 488.256 * * [simplify]: Extracting #8: cost 121 inf + 29293 488.263 * * [simplify]: Extracting #9: cost 83 inf + 44899 488.273 * * [simplify]: Extracting #10: cost 42 inf + 62711 488.290 * * [simplify]: Extracting #11: cost 9 inf + 97176 488.311 * * [simplify]: Extracting #12: cost 0 inf + 107921 488.332 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 488.332 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 488.333 * * * * [progress]: [ 1500 / 5906 ] simplifiying candidate # 488.333 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 488.333 * * [simplify]: iters left: 6 (49 enodes) 488.347 * * [simplify]: iters left: 5 (236 enodes) 488.398 * * [simplify]: Extracting #0: cost 1 inf + 0 488.398 * * [simplify]: Extracting #1: cost 3 inf + 0 488.398 * * [simplify]: Extracting #2: cost 6 inf + 0 488.398 * * [simplify]: Extracting #3: cost 54 inf + 0 488.399 * * [simplify]: Extracting #4: cost 133 inf + 0 488.399 * * [simplify]: Extracting #5: cost 188 inf + 208 488.400 * * [simplify]: Extracting #6: cost 214 inf + 5045 488.402 * * [simplify]: Extracting #7: cost 179 inf + 12136 488.407 * * [simplify]: Extracting #8: cost 115 inf + 27799 488.417 * * [simplify]: Extracting #9: cost 56 inf + 52707 488.428 * * [simplify]: Extracting #10: cost 32 inf + 68873 488.446 * * [simplify]: Extracting #11: cost 1 inf + 103888 488.467 * * [simplify]: Extracting #12: cost 0 inf + 105793 488.488 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) 488.488 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 488.488 * * * * [progress]: [ 1501 / 5906 ] simplifiying candidate # 488.488 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 488.489 * * [simplify]: iters left: 6 (43 enodes) 488.499 * * [simplify]: iters left: 5 (199 enodes) 488.543 * * [simplify]: Extracting #0: cost 1 inf + 0 488.543 * * [simplify]: Extracting #1: cost 3 inf + 0 488.543 * * [simplify]: Extracting #2: cost 6 inf + 0 488.543 * * [simplify]: Extracting #3: cost 46 inf + 0 488.543 * * [simplify]: Extracting #4: cost 101 inf + 0 488.544 * * [simplify]: Extracting #5: cost 133 inf + 372 488.544 * * [simplify]: Extracting #6: cost 178 inf + 2207 488.546 * * [simplify]: Extracting #7: cost 156 inf + 6237 488.549 * * [simplify]: Extracting #8: cost 98 inf + 21145 488.556 * * [simplify]: Extracting #9: cost 48 inf + 44349 488.568 * * [simplify]: Extracting #10: cost 11 inf + 72070 488.586 * * [simplify]: Extracting #11: cost 0 inf + 83692 488.602 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 488.602 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 488.602 * * * * [progress]: [ 1502 / 5906 ] simplifiying candidate # 488.603 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 488.603 * * [simplify]: iters left: 6 (48 enodes) 488.615 * * [simplify]: iters left: 5 (227 enodes) 488.667 * * [simplify]: Extracting #0: cost 1 inf + 0 488.667 * * [simplify]: Extracting #1: cost 3 inf + 0 488.667 * * [simplify]: Extracting #2: cost 10 inf + 0 488.667 * * [simplify]: Extracting #3: cost 62 inf + 0 488.667 * * [simplify]: Extracting #4: cost 115 inf + 42 488.668 * * [simplify]: Extracting #5: cost 158 inf + 207 488.669 * * [simplify]: Extracting #6: cost 199 inf + 2773 488.670 * * [simplify]: Extracting #7: cost 175 inf + 7815 488.674 * * [simplify]: Extracting #8: cost 96 inf + 28406 488.682 * * [simplify]: Extracting #9: cost 43 inf + 52517 488.698 * * [simplify]: Extracting #10: cost 3 inf + 90473 488.717 * * [simplify]: Extracting #11: cost 0 inf + 94028 488.736 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 488.736 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 488.736 * * * * [progress]: [ 1503 / 5906 ] simplifiying candidate # 488.737 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 488.737 * * [simplify]: iters left: 6 (43 enodes) 488.748 * * [simplify]: iters left: 5 (199 enodes) 488.795 * * [simplify]: Extracting #0: cost 1 inf + 0 488.796 * * [simplify]: Extracting #1: cost 3 inf + 0 488.796 * * [simplify]: Extracting #2: cost 10 inf + 0 488.796 * * [simplify]: Extracting #3: cost 54 inf + 0 488.796 * * [simplify]: Extracting #4: cost 95 inf + 86 488.796 * * [simplify]: Extracting #5: cost 119 inf + 1471 488.797 * * [simplify]: Extracting #6: cost 169 inf + 2895 488.798 * * [simplify]: Extracting #7: cost 155 inf + 5788 488.802 * * [simplify]: Extracting #8: cost 97 inf + 21083 488.810 * * [simplify]: Extracting #9: cost 40 inf + 49184 488.824 * * [simplify]: Extracting #10: cost 6 inf + 71884 488.839 * * [simplify]: Extracting #11: cost 0 inf + 77427 488.856 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 488.856 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 488.857 * * * * [progress]: [ 1504 / 5906 ] simplifiying candidate # 488.857 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 488.857 * * [simplify]: iters left: 6 (48 enodes) 488.870 * * [simplify]: iters left: 5 (227 enodes) 488.918 * * [simplify]: Extracting #0: cost 1 inf + 0 488.918 * * [simplify]: Extracting #1: cost 3 inf + 0 488.918 * * [simplify]: Extracting #2: cost 10 inf + 0 488.918 * * [simplify]: Extracting #3: cost 62 inf + 0 488.918 * * [simplify]: Extracting #4: cost 115 inf + 42 488.918 * * [simplify]: Extracting #5: cost 156 inf + 290 488.919 * * [simplify]: Extracting #6: cost 198 inf + 3015 488.923 * * [simplify]: Extracting #7: cost 176 inf + 7693 488.927 * * [simplify]: Extracting #8: cost 93 inf + 29428 488.935 * * [simplify]: Extracting #9: cost 43 inf + 53018 488.951 * * [simplify]: Extracting #10: cost 4 inf + 90248 488.970 * * [simplify]: Extracting #11: cost 0 inf + 94748 488.989 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 488.989 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 488.989 * * * * [progress]: [ 1505 / 5906 ] simplifiying candidate # 488.989 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 488.990 * * [simplify]: iters left: 6 (43 enodes) 489.000 * * [simplify]: iters left: 5 (199 enodes) 489.042 * * [simplify]: Extracting #0: cost 1 inf + 0 489.042 * * [simplify]: Extracting #1: cost 3 inf + 0 489.042 * * [simplify]: Extracting #2: cost 10 inf + 0 489.042 * * [simplify]: Extracting #3: cost 53 inf + 0 489.043 * * [simplify]: Extracting #4: cost 96 inf + 44 489.043 * * [simplify]: Extracting #5: cost 123 inf + 1023 489.044 * * [simplify]: Extracting #6: cost 170 inf + 2733 489.045 * * [simplify]: Extracting #7: cost 157 inf + 5583 489.049 * * [simplify]: Extracting #8: cost 82 inf + 28450 489.059 * * [simplify]: Extracting #9: cost 23 inf + 60313 489.075 * * [simplify]: Extracting #10: cost 2 inf + 77563 489.090 * * [simplify]: Extracting #11: cost 0 inf + 77747 489.109 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 489.109 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 489.109 * * * * [progress]: [ 1506 / 5906 ] simplifiying candidate # 489.110 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 489.110 * * [simplify]: iters left: 6 (52 enodes) 489.123 * * [simplify]: iters left: 5 (255 enodes) 489.182 * * [simplify]: Extracting #0: cost 1 inf + 0 489.182 * * [simplify]: Extracting #1: cost 3 inf + 0 489.182 * * [simplify]: Extracting #2: cost 6 inf + 0 489.182 * * [simplify]: Extracting #3: cost 56 inf + 0 489.182 * * [simplify]: Extracting #4: cost 130 inf + 0 489.183 * * [simplify]: Extracting #5: cost 210 inf + 0 489.183 * * [simplify]: Extracting #6: cost 282 inf + 595 489.185 * * [simplify]: Extracting #7: cost 223 inf + 10140 489.191 * * [simplify]: Extracting #8: cost 119 inf + 39400 489.201 * * [simplify]: Extracting #9: cost 60 inf + 63046 489.219 * * [simplify]: Extracting #10: cost 15 inf + 105869 489.242 * * [simplify]: Extracting #11: cost 1 inf + 121579 489.268 * * [simplify]: Extracting #12: cost 0 inf + 123644 489.292 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) 489.292 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 489.293 * * * * [progress]: [ 1507 / 5906 ] simplifiying candidate # 489.293 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 489.294 * * [simplify]: iters left: 6 (53 enodes) 489.307 * * [simplify]: iters left: 5 (264 enodes) 489.367 * * [simplify]: Extracting #0: cost 1 inf + 0 489.367 * * [simplify]: Extracting #1: cost 3 inf + 0 489.367 * * [simplify]: Extracting #2: cost 6 inf + 0 489.367 * * [simplify]: Extracting #3: cost 60 inf + 0 489.367 * * [simplify]: Extracting #4: cost 153 inf + 0 489.368 * * [simplify]: Extracting #5: cost 224 inf + 44 489.369 * * [simplify]: Extracting #6: cost 259 inf + 4323 489.372 * * [simplify]: Extracting #7: cost 203 inf + 14533 489.377 * * [simplify]: Extracting #8: cost 145 inf + 32120 489.386 * * [simplify]: Extracting #9: cost 98 inf + 53366 489.398 * * [simplify]: Extracting #10: cost 41 inf + 79436 489.420 * * [simplify]: Extracting #11: cost 1 inf + 124076 489.448 * * [simplify]: Extracting #12: cost 0 inf + 126221 489.473 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 489.473 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 489.473 * * * * [progress]: [ 1508 / 5906 ] simplifiying candidate # 489.474 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 489.474 * * [simplify]: iters left: 6 (53 enodes) 489.487 * * [simplify]: iters left: 5 (264 enodes) 489.547 * * [simplify]: Extracting #0: cost 1 inf + 0 489.547 * * [simplify]: Extracting #1: cost 3 inf + 0 489.547 * * [simplify]: Extracting #2: cost 6 inf + 0 489.547 * * [simplify]: Extracting #3: cost 62 inf + 0 489.548 * * [simplify]: Extracting #4: cost 151 inf + 0 489.548 * * [simplify]: Extracting #5: cost 220 inf + 44 489.550 * * [simplify]: Extracting #6: cost 250 inf + 5974 489.553 * * [simplify]: Extracting #7: cost 194 inf + 16747 489.558 * * [simplify]: Extracting #8: cost 143 inf + 33180 489.567 * * [simplify]: Extracting #9: cost 94 inf + 52614 489.578 * * [simplify]: Extracting #10: cost 52 inf + 71435 489.600 * * [simplify]: Extracting #11: cost 5 inf + 116248 489.623 * * [simplify]: Extracting #12: cost 0 inf + 122373 489.646 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 489.647 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 489.647 * * * * [progress]: [ 1509 / 5906 ] simplifiying candidate # 489.647 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 489.648 * * [simplify]: iters left: 6 (47 enodes) 489.659 * * [simplify]: iters left: 5 (228 enodes) 489.709 * * [simplify]: Extracting #0: cost 1 inf + 0 489.709 * * [simplify]: Extracting #1: cost 3 inf + 0 489.709 * * [simplify]: Extracting #2: cost 6 inf + 0 489.709 * * [simplify]: Extracting #3: cost 54 inf + 0 489.710 * * [simplify]: Extracting #4: cost 119 inf + 0 489.710 * * [simplify]: Extracting #5: cost 168 inf + 44 489.711 * * [simplify]: Extracting #6: cost 220 inf + 2085 489.713 * * [simplify]: Extracting #7: cost 180 inf + 8224 489.716 * * [simplify]: Extracting #8: cost 147 inf + 15577 489.722 * * [simplify]: Extracting #9: cost 92 inf + 39941 489.732 * * [simplify]: Extracting #10: cost 44 inf + 57798 489.748 * * [simplify]: Extracting #11: cost 8 inf + 87352 489.769 * * [simplify]: Extracting #12: cost 1 inf + 95727 489.787 * * [simplify]: Extracting #13: cost 0 inf + 97592 489.806 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 489.806 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 489.807 * * * * [progress]: [ 1510 / 5906 ] simplifiying candidate # 489.807 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 489.808 * * [simplify]: iters left: 6 (52 enodes) 489.821 * * [simplify]: iters left: 5 (256 enodes) 489.878 * * [simplify]: Extracting #0: cost 1 inf + 0 489.878 * * [simplify]: Extracting #1: cost 3 inf + 0 489.878 * * [simplify]: Extracting #2: cost 10 inf + 0 489.878 * * [simplify]: Extracting #3: cost 74 inf + 0 489.878 * * [simplify]: Extracting #4: cost 137 inf + 1 489.879 * * [simplify]: Extracting #5: cost 189 inf + 248 489.880 * * [simplify]: Extracting #6: cost 240 inf + 2619 489.882 * * [simplify]: Extracting #7: cost 189 inf + 12419 489.887 * * [simplify]: Extracting #8: cost 140 inf + 28365 489.894 * * [simplify]: Extracting #9: cost 95 inf + 46741 489.905 * * [simplify]: Extracting #10: cost 39 inf + 71910 489.927 * * [simplify]: Extracting #11: cost 6 inf + 107213 489.950 * * [simplify]: Extracting #12: cost 1 inf + 114858 489.974 * * [simplify]: Extracting #13: cost 0 inf + 116963 489.997 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))))) 489.997 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 489.997 * * * * [progress]: [ 1511 / 5906 ] simplifiying candidate # 489.998 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 489.998 * * [simplify]: iters left: 6 (47 enodes) 490.010 * * [simplify]: iters left: 5 (228 enodes) 490.061 * * [simplify]: Extracting #0: cost 1 inf + 0 490.061 * * [simplify]: Extracting #1: cost 3 inf + 0 490.061 * * [simplify]: Extracting #2: cost 10 inf + 0 490.061 * * [simplify]: Extracting #3: cost 66 inf + 0 490.061 * * [simplify]: Extracting #4: cost 117 inf + 44 490.062 * * [simplify]: Extracting #5: cost 153 inf + 1186 490.062 * * [simplify]: Extracting #6: cost 212 inf + 3015 490.064 * * [simplify]: Extracting #7: cost 182 inf + 8179 490.069 * * [simplify]: Extracting #8: cost 115 inf + 27608 490.078 * * [simplify]: Extracting #9: cost 40 inf + 58633 490.092 * * [simplify]: Extracting #10: cost 11 inf + 83447 490.113 * * [simplify]: Extracting #11: cost 1 inf + 95377 490.132 * * [simplify]: Extracting #12: cost 0 inf + 97162 490.150 * * [simplify]: Extracting #13: cost 0 inf + 97082 490.169 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 490.169 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 490.170 * * * * [progress]: [ 1512 / 5906 ] simplifiying candidate # 490.170 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 490.171 * * [simplify]: iters left: 6 (52 enodes) 490.184 * * [simplify]: iters left: 5 (256 enodes) 490.240 * * [simplify]: Extracting #0: cost 1 inf + 0 490.240 * * [simplify]: Extracting #1: cost 3 inf + 0 490.240 * * [simplify]: Extracting #2: cost 10 inf + 0 490.241 * * [simplify]: Extracting #3: cost 74 inf + 0 490.241 * * [simplify]: Extracting #4: cost 137 inf + 1 490.241 * * [simplify]: Extracting #5: cost 189 inf + 248 490.242 * * [simplify]: Extracting #6: cost 244 inf + 1852 490.244 * * [simplify]: Extracting #7: cost 197 inf + 10361 490.248 * * [simplify]: Extracting #8: cost 144 inf + 27079 490.256 * * [simplify]: Extracting #9: cost 95 inf + 47621 490.270 * * [simplify]: Extracting #10: cost 39 inf + 72870 490.289 * * [simplify]: Extracting #11: cost 5 inf + 110158 490.312 * * [simplify]: Extracting #12: cost 1 inf + 115818 490.336 * * [simplify]: Extracting #13: cost 0 inf + 117923 490.361 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))))) 490.361 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 490.361 * * * * [progress]: [ 1513 / 5906 ] simplifiying candidate # 490.362 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 490.362 * * [simplify]: iters left: 6 (47 enodes) 490.375 * * [simplify]: iters left: 5 (228 enodes) 490.423 * * [simplify]: Extracting #0: cost 1 inf + 0 490.423 * * [simplify]: Extracting #1: cost 3 inf + 0 490.423 * * [simplify]: Extracting #2: cost 10 inf + 0 490.423 * * [simplify]: Extracting #3: cost 65 inf + 0 490.424 * * [simplify]: Extracting #4: cost 116 inf + 86 490.424 * * [simplify]: Extracting #5: cost 150 inf + 1552 490.425 * * [simplify]: Extracting #6: cost 211 inf + 3017 490.427 * * [simplify]: Extracting #7: cost 182 inf + 8059 490.431 * * [simplify]: Extracting #8: cost 132 inf + 24308 490.437 * * [simplify]: Extracting #9: cost 90 inf + 40492 490.449 * * [simplify]: Extracting #10: cost 37 inf + 60357 490.462 * * [simplify]: Extracting #11: cost 11 inf + 83327 490.480 * * [simplify]: Extracting #12: cost 1 inf + 94457 490.498 * * [simplify]: Extracting #13: cost 0 inf + 96162 490.517 * * [simplify]: Extracting #14: cost 0 inf + 96082 490.535 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 490.535 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 490.536 * * * * [progress]: [ 1514 / 5906 ] simplifiying candidate # 490.537 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 490.537 * * [simplify]: iters left: 6 (51 enodes) 490.550 * * [simplify]: iters left: 5 (243 enodes) 490.602 * * [simplify]: Extracting #0: cost 1 inf + 0 490.602 * * [simplify]: Extracting #1: cost 3 inf + 0 490.602 * * [simplify]: Extracting #2: cost 6 inf + 0 490.602 * * [simplify]: Extracting #3: cost 56 inf + 0 490.602 * * [simplify]: Extracting #4: cost 130 inf + 0 490.603 * * [simplify]: Extracting #5: cost 208 inf + 0 490.604 * * [simplify]: Extracting #6: cost 259 inf + 2438 490.608 * * [simplify]: Extracting #7: cost 186 inf + 15895 490.613 * * [simplify]: Extracting #8: cost 141 inf + 30824 490.620 * * [simplify]: Extracting #9: cost 91 inf + 49764 490.631 * * [simplify]: Extracting #10: cost 50 inf + 65358 490.651 * * [simplify]: Extracting #11: cost 4 inf + 114428 490.675 * * [simplify]: Extracting #12: cost 1 inf + 119703 490.699 * * [simplify]: Extracting #13: cost 0 inf + 121728 490.723 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 490.724 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 490.724 * * * * [progress]: [ 1515 / 5906 ] simplifiying candidate # 490.724 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 490.725 * * [simplify]: iters left: 6 (52 enodes) 490.738 * * [simplify]: iters left: 5 (252 enodes) 490.794 * * [simplify]: Extracting #0: cost 1 inf + 0 490.794 * * [simplify]: Extracting #1: cost 3 inf + 0 490.794 * * [simplify]: Extracting #2: cost 6 inf + 0 490.794 * * [simplify]: Extracting #3: cost 60 inf + 0 490.795 * * [simplify]: Extracting #4: cost 153 inf + 0 490.795 * * [simplify]: Extracting #5: cost 222 inf + 44 490.796 * * [simplify]: Extracting #6: cost 248 inf + 4443 490.799 * * [simplify]: Extracting #7: cost 201 inf + 12269 490.803 * * [simplify]: Extracting #8: cost 153 inf + 24408 490.810 * * [simplify]: Extracting #9: cost 97 inf + 46140 490.821 * * [simplify]: Extracting #10: cost 53 inf + 67980 490.840 * * [simplify]: Extracting #11: cost 8 inf + 116185 490.864 * * [simplify]: Extracting #12: cost 1 inf + 124960 490.890 * * [simplify]: Extracting #13: cost 0 inf + 127145 490.914 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 490.915 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 490.915 * * * * [progress]: [ 1516 / 5906 ] simplifiying candidate # 490.915 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 490.916 * * [simplify]: iters left: 6 (52 enodes) 490.929 * * [simplify]: iters left: 5 (252 enodes) 490.987 * * [simplify]: Extracting #0: cost 1 inf + 0 490.987 * * [simplify]: Extracting #1: cost 3 inf + 0 490.987 * * [simplify]: Extracting #2: cost 6 inf + 0 490.987 * * [simplify]: Extracting #3: cost 62 inf + 0 490.987 * * [simplify]: Extracting #4: cost 151 inf + 0 490.988 * * [simplify]: Extracting #5: cost 218 inf + 44 490.989 * * [simplify]: Extracting #6: cost 255 inf + 2702 490.991 * * [simplify]: Extracting #7: cost 198 inf + 11947 490.996 * * [simplify]: Extracting #8: cost 127 inf + 31697 491.005 * * [simplify]: Extracting #9: cost 61 inf + 60302 491.023 * * [simplify]: Extracting #10: cost 9 inf + 111832 491.049 * * [simplify]: Extracting #11: cost 1 inf + 122232 491.072 * * [simplify]: Extracting #12: cost 0 inf + 124417 491.096 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 491.096 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 491.096 * * * * [progress]: [ 1517 / 5906 ] simplifiying candidate # 491.097 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 491.097 * * [simplify]: iters left: 6 (46 enodes) 491.109 * * [simplify]: iters left: 5 (216 enodes) 491.155 * * [simplify]: Extracting #0: cost 1 inf + 0 491.155 * * [simplify]: Extracting #1: cost 3 inf + 0 491.155 * * [simplify]: Extracting #2: cost 6 inf + 0 491.155 * * [simplify]: Extracting #3: cost 54 inf + 0 491.155 * * [simplify]: Extracting #4: cost 119 inf + 0 491.155 * * [simplify]: Extracting #5: cost 165 inf + 85 491.156 * * [simplify]: Extracting #6: cost 205 inf + 2292 491.158 * * [simplify]: Extracting #7: cost 165 inf + 9388 491.162 * * [simplify]: Extracting #8: cost 128 inf + 23171 491.168 * * [simplify]: Extracting #9: cost 90 inf + 39686 491.177 * * [simplify]: Extracting #10: cost 43 inf + 56374 491.193 * * [simplify]: Extracting #11: cost 10 inf + 87106 491.214 * * [simplify]: Extracting #12: cost 1 inf + 98291 491.233 * * [simplify]: Extracting #13: cost 0 inf + 100196 491.253 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 491.253 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 491.254 * * * * [progress]: [ 1518 / 5906 ] simplifiying candidate # 491.254 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 491.254 * * [simplify]: iters left: 6 (51 enodes) 491.268 * * [simplify]: iters left: 5 (244 enodes) 491.323 * * [simplify]: Extracting #0: cost 1 inf + 0 491.323 * * [simplify]: Extracting #1: cost 3 inf + 0 491.323 * * [simplify]: Extracting #2: cost 10 inf + 0 491.323 * * [simplify]: Extracting #3: cost 74 inf + 0 491.323 * * [simplify]: Extracting #4: cost 137 inf + 1 491.324 * * [simplify]: Extracting #5: cost 187 inf + 249 491.324 * * [simplify]: Extracting #6: cost 229 inf + 2578 491.326 * * [simplify]: Extracting #7: cost 181 inf + 11721 491.331 * * [simplify]: Extracting #8: cost 136 inf + 28387 491.337 * * [simplify]: Extracting #9: cost 95 inf + 43337 491.347 * * [simplify]: Extracting #10: cost 55 inf + 59792 491.359 * * [simplify]: Extracting #11: cost 26 inf + 83477 491.382 * * [simplify]: Extracting #12: cost 3 inf + 110172 491.405 * * [simplify]: Extracting #13: cost 1 inf + 114262 491.428 * * [simplify]: Extracting #14: cost 0 inf + 116327 491.451 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 491.451 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 491.451 * * * * [progress]: [ 1519 / 5906 ] simplifiying candidate # 491.451 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 491.452 * * [simplify]: iters left: 6 (46 enodes) 491.463 * * [simplify]: iters left: 5 (216 enodes) 491.508 * * [simplify]: Extracting #0: cost 1 inf + 0 491.508 * * [simplify]: Extracting #1: cost 3 inf + 0 491.508 * * [simplify]: Extracting #2: cost 10 inf + 0 491.508 * * [simplify]: Extracting #3: cost 66 inf + 0 491.509 * * [simplify]: Extracting #4: cost 117 inf + 44 491.509 * * [simplify]: Extracting #5: cost 154 inf + 740 491.510 * * [simplify]: Extracting #6: cost 201 inf + 2654 491.511 * * [simplify]: Extracting #7: cost 173 inf + 6886 491.516 * * [simplify]: Extracting #8: cost 104 inf + 29771 491.525 * * [simplify]: Extracting #9: cost 43 inf + 58517 491.540 * * [simplify]: Extracting #10: cost 5 inf + 89987 491.561 * * [simplify]: Extracting #11: cost 0 inf + 95766 491.579 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) 491.580 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 491.580 * * * * [progress]: [ 1520 / 5906 ] simplifiying candidate # 491.580 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 491.581 * * [simplify]: iters left: 6 (51 enodes) 491.594 * * [simplify]: iters left: 5 (244 enodes) 491.649 * * [simplify]: Extracting #0: cost 1 inf + 0 491.650 * * [simplify]: Extracting #1: cost 3 inf + 0 491.650 * * [simplify]: Extracting #2: cost 10 inf + 0 491.651 * * [simplify]: Extracting #3: cost 74 inf + 0 491.651 * * [simplify]: Extracting #4: cost 137 inf + 1 491.651 * * [simplify]: Extracting #5: cost 188 inf + 207 491.652 * * [simplify]: Extracting #6: cost 228 inf + 2780 491.654 * * [simplify]: Extracting #7: cost 173 inf + 13377 491.659 * * [simplify]: Extracting #8: cost 139 inf + 26718 491.665 * * [simplify]: Extracting #9: cost 95 inf + 44217 491.675 * * [simplify]: Extracting #10: cost 55 inf + 60752 491.688 * * [simplify]: Extracting #11: cost 27 inf + 83532 491.708 * * [simplify]: Extracting #12: cost 3 inf + 111132 491.733 * * [simplify]: Extracting #13: cost 1 inf + 115222 491.756 * * [simplify]: Extracting #14: cost 0 inf + 117287 491.779 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 491.779 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 491.780 * * * * [progress]: [ 1521 / 5906 ] simplifiying candidate # 491.780 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 491.781 * * [simplify]: iters left: 6 (46 enodes) 491.792 * * [simplify]: iters left: 5 (216 enodes) 491.838 * * [simplify]: Extracting #0: cost 1 inf + 0 491.838 * * [simplify]: Extracting #1: cost 3 inf + 0 491.838 * * [simplify]: Extracting #2: cost 10 inf + 0 491.838 * * [simplify]: Extracting #3: cost 65 inf + 0 491.838 * * [simplify]: Extracting #4: cost 117 inf + 44 491.839 * * [simplify]: Extracting #5: cost 152 inf + 944 491.840 * * [simplify]: Extracting #6: cost 198 inf + 3140 491.841 * * [simplify]: Extracting #7: cost 169 inf + 7413 491.846 * * [simplify]: Extracting #8: cost 96 inf + 34550 491.856 * * [simplify]: Extracting #9: cost 35 inf + 63891 491.872 * * [simplify]: Extracting #10: cost 4 inf + 92212 491.890 * * [simplify]: Extracting #11: cost 0 inf + 96166 491.913 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 491.913 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 491.914 * * * * [progress]: [ 1522 / 5906 ] simplifiying candidate # 491.914 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 491.914 * * [simplify]: iters left: 6 (50 enodes) 491.927 * * [simplify]: iters left: 5 (239 enodes) 491.980 * * [simplify]: Extracting #0: cost 1 inf + 0 491.980 * * [simplify]: Extracting #1: cost 3 inf + 0 491.980 * * [simplify]: Extracting #2: cost 6 inf + 0 491.980 * * [simplify]: Extracting #3: cost 57 inf + 0 491.981 * * [simplify]: Extracting #4: cost 128 inf + 0 491.981 * * [simplify]: Extracting #5: cost 195 inf + 0 491.982 * * [simplify]: Extracting #6: cost 257 inf + 2739 491.983 * * [simplify]: Extracting #7: cost 204 inf + 12127 491.987 * * [simplify]: Extracting #8: cost 139 inf + 26920 491.994 * * [simplify]: Extracting #9: cost 97 inf + 43328 492.003 * * [simplify]: Extracting #10: cost 61 inf + 56155 492.020 * * [simplify]: Extracting #11: cost 4 inf + 108540 492.042 * * [simplify]: Extracting #12: cost 0 inf + 114040 492.064 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) 492.064 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 492.065 * * * * [progress]: [ 1523 / 5906 ] simplifiying candidate # 492.065 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 492.065 * * [simplify]: iters left: 6 (51 enodes) 492.080 * * [simplify]: iters left: 5 (248 enodes) 492.133 * * [simplify]: Extracting #0: cost 1 inf + 0 492.133 * * [simplify]: Extracting #1: cost 3 inf + 0 492.133 * * [simplify]: Extracting #2: cost 6 inf + 0 492.133 * * [simplify]: Extracting #3: cost 61 inf + 0 492.133 * * [simplify]: Extracting #4: cost 151 inf + 0 492.134 * * [simplify]: Extracting #5: cost 209 inf + 44 492.135 * * [simplify]: Extracting #6: cost 240 inf + 5004 492.140 * * [simplify]: Extracting #7: cost 200 inf + 12467 492.145 * * [simplify]: Extracting #8: cost 138 inf + 30005 492.152 * * [simplify]: Extracting #9: cost 98 inf + 47338 492.162 * * [simplify]: Extracting #10: cost 60 inf + 60677 492.175 * * [simplify]: Extracting #11: cost 25 inf + 88592 492.196 * * [simplify]: Extracting #12: cost 4 inf + 112317 492.218 * * [simplify]: Extracting #13: cost 0 inf + 116657 492.240 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 492.240 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 492.241 * * * * [progress]: [ 1524 / 5906 ] simplifiying candidate # 492.241 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 492.241 * * [simplify]: iters left: 6 (51 enodes) 492.255 * * [simplify]: iters left: 5 (248 enodes) 492.311 * * [simplify]: Extracting #0: cost 1 inf + 0 492.311 * * [simplify]: Extracting #1: cost 3 inf + 0 492.311 * * [simplify]: Extracting #2: cost 6 inf + 0 492.312 * * [simplify]: Extracting #3: cost 63 inf + 0 492.312 * * [simplify]: Extracting #4: cost 149 inf + 0 492.312 * * [simplify]: Extracting #5: cost 205 inf + 44 492.313 * * [simplify]: Extracting #6: cost 242 inf + 3712 492.316 * * [simplify]: Extracting #7: cost 192 inf + 13677 492.320 * * [simplify]: Extracting #8: cost 147 inf + 23779 492.325 * * [simplify]: Extracting #9: cost 116 inf + 34198 492.334 * * [simplify]: Extracting #10: cost 61 inf + 59844 492.351 * * [simplify]: Extracting #11: cost 17 inf + 95344 492.371 * * [simplify]: Extracting #12: cost 1 inf + 112304 492.394 * * [simplify]: Extracting #13: cost 0 inf + 114209 492.416 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 492.416 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 492.417 * * * * [progress]: [ 1525 / 5906 ] simplifiying candidate # 492.417 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 492.417 * * [simplify]: iters left: 6 (45 enodes) 492.429 * * [simplify]: iters left: 5 (212 enodes) 492.480 * * [simplify]: Extracting #0: cost 1 inf + 0 492.480 * * [simplify]: Extracting #1: cost 3 inf + 0 492.480 * * [simplify]: Extracting #2: cost 6 inf + 0 492.480 * * [simplify]: Extracting #3: cost 55 inf + 0 492.480 * * [simplify]: Extracting #4: cost 117 inf + 0 492.481 * * [simplify]: Extracting #5: cost 153 inf + 44 492.481 * * [simplify]: Extracting #6: cost 205 inf + 1117 492.483 * * [simplify]: Extracting #7: cost 171 inf + 7369 492.486 * * [simplify]: Extracting #8: cost 125 inf + 21773 492.492 * * [simplify]: Extracting #9: cost 83 inf + 38788 492.505 * * [simplify]: Extracting #10: cost 15 inf + 77377 492.522 * * [simplify]: Extracting #11: cost 0 inf + 90468 492.539 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) 492.539 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 492.539 * * * * [progress]: [ 1526 / 5906 ] simplifiying candidate # 492.540 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 492.540 * * [simplify]: iters left: 6 (50 enodes) 492.553 * * [simplify]: iters left: 5 (240 enodes) 492.604 * * [simplify]: Extracting #0: cost 1 inf + 0 492.604 * * [simplify]: Extracting #1: cost 3 inf + 0 492.604 * * [simplify]: Extracting #2: cost 10 inf + 0 492.604 * * [simplify]: Extracting #3: cost 75 inf + 0 492.605 * * [simplify]: Extracting #4: cost 142 inf + 1 492.605 * * [simplify]: Extracting #5: cost 181 inf + 249 492.606 * * [simplify]: Extracting #6: cost 226 inf + 3183 492.608 * * [simplify]: Extracting #7: cost 188 inf + 11973 492.613 * * [simplify]: Extracting #8: cost 119 inf + 32481 492.628 * * [simplify]: Extracting #9: cost 10 inf + 97105 492.649 * * [simplify]: Extracting #10: cost 1 inf + 105829 492.669 * * [simplify]: Extracting #11: cost 0 inf + 106574 492.689 * * [simplify]: Extracting #12: cost 0 inf + 106454 492.709 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 492.709 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 492.710 * * * * [progress]: [ 1527 / 5906 ] simplifiying candidate # 492.710 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 492.710 * * [simplify]: iters left: 6 (45 enodes) 492.722 * * [simplify]: iters left: 5 (212 enodes) 492.767 * * [simplify]: Extracting #0: cost 1 inf + 0 492.767 * * [simplify]: Extracting #1: cost 3 inf + 0 492.767 * * [simplify]: Extracting #2: cost 10 inf + 0 492.767 * * [simplify]: Extracting #3: cost 67 inf + 0 492.768 * * [simplify]: Extracting #4: cost 121 inf + 86 492.768 * * [simplify]: Extracting #5: cost 141 inf + 1714 492.769 * * [simplify]: Extracting #6: cost 199 inf + 2976 492.770 * * [simplify]: Extracting #7: cost 180 inf + 7325 492.775 * * [simplify]: Extracting #8: cost 94 inf + 34710 492.785 * * [simplify]: Extracting #9: cost 35 inf + 63364 492.800 * * [simplify]: Extracting #10: cost 2 inf + 87403 492.818 * * [simplify]: Extracting #11: cost 1 inf + 88948 492.834 * * [simplify]: Extracting #12: cost 0 inf + 90493 492.851 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 492.851 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 492.852 * * * * [progress]: [ 1528 / 5906 ] simplifiying candidate # 492.852 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 492.852 * * [simplify]: iters left: 6 (50 enodes) 492.865 * * [simplify]: iters left: 5 (240 enodes) 492.917 * * [simplify]: Extracting #0: cost 1 inf + 0 492.917 * * [simplify]: Extracting #1: cost 3 inf + 0 492.917 * * [simplify]: Extracting #2: cost 10 inf + 0 492.917 * * [simplify]: Extracting #3: cost 75 inf + 0 492.917 * * [simplify]: Extracting #4: cost 142 inf + 1 492.918 * * [simplify]: Extracting #5: cost 182 inf + 207 492.919 * * [simplify]: Extracting #6: cost 227 inf + 2981 492.921 * * [simplify]: Extracting #7: cost 188 inf + 12173 492.926 * * [simplify]: Extracting #8: cost 117 inf + 33549 492.941 * * [simplify]: Extracting #9: cost 11 inf + 97040 492.960 * * [simplify]: Extracting #10: cost 1 inf + 106789 492.982 * * [simplify]: Extracting #11: cost 0 inf + 107534 493.003 * * [simplify]: Extracting #12: cost 0 inf + 107414 493.023 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 493.023 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 493.024 * * * * [progress]: [ 1529 / 5906 ] simplifiying candidate # 493.024 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 493.024 * * [simplify]: iters left: 6 (45 enodes) 493.035 * * [simplify]: iters left: 5 (212 enodes) 493.082 * * [simplify]: Extracting #0: cost 1 inf + 0 493.082 * * [simplify]: Extracting #1: cost 3 inf + 0 493.082 * * [simplify]: Extracting #2: cost 10 inf + 0 493.082 * * [simplify]: Extracting #3: cost 66 inf + 0 493.083 * * [simplify]: Extracting #4: cost 122 inf + 44 493.083 * * [simplify]: Extracting #5: cost 146 inf + 985 493.084 * * [simplify]: Extracting #6: cost 199 inf + 2976 493.085 * * [simplify]: Extracting #7: cost 181 inf + 7001 493.090 * * [simplify]: Extracting #8: cost 102 inf + 31777 493.099 * * [simplify]: Extracting #9: cost 37 inf + 62836 493.114 * * [simplify]: Extracting #10: cost 2 inf + 87803 493.130 * * [simplify]: Extracting #11: cost 1 inf + 89348 493.148 * * [simplify]: Extracting #12: cost 0 inf + 90893 493.165 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 493.165 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 493.166 * * * * [progress]: [ 1530 / 5906 ] simplifiying candidate # 493.166 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 493.166 * * [simplify]: iters left: 6 (51 enodes) 493.179 * * [simplify]: iters left: 5 (243 enodes) 493.233 * * [simplify]: Extracting #0: cost 1 inf + 0 493.233 * * [simplify]: Extracting #1: cost 3 inf + 0 493.233 * * [simplify]: Extracting #2: cost 6 inf + 0 493.234 * * [simplify]: Extracting #3: cost 56 inf + 0 493.234 * * [simplify]: Extracting #4: cost 130 inf + 0 493.234 * * [simplify]: Extracting #5: cost 208 inf + 0 493.235 * * [simplify]: Extracting #6: cost 260 inf + 2196 493.237 * * [simplify]: Extracting #7: cost 198 inf + 13471 493.242 * * [simplify]: Extracting #8: cost 140 inf + 31620 493.249 * * [simplify]: Extracting #9: cost 91 inf + 49764 493.260 * * [simplify]: Extracting #10: cost 50 inf + 65678 493.279 * * [simplify]: Extracting #11: cost 4 inf + 114748 493.302 * * [simplify]: Extracting #12: cost 1 inf + 120023 493.327 * * [simplify]: Extracting #13: cost 0 inf + 122048 493.351 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 493.351 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 493.352 * * * * [progress]: [ 1531 / 5906 ] simplifiying candidate # 493.352 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 493.352 * * [simplify]: iters left: 6 (52 enodes) 493.366 * * [simplify]: iters left: 5 (252 enodes) 493.424 * * [simplify]: Extracting #0: cost 1 inf + 0 493.424 * * [simplify]: Extracting #1: cost 3 inf + 0 493.424 * * [simplify]: Extracting #2: cost 6 inf + 0 493.424 * * [simplify]: Extracting #3: cost 60 inf + 0 493.424 * * [simplify]: Extracting #4: cost 153 inf + 0 493.425 * * [simplify]: Extracting #5: cost 222 inf + 44 493.426 * * [simplify]: Extracting #6: cost 236 inf + 6148 493.429 * * [simplify]: Extracting #7: cost 175 inf + 18929 493.435 * * [simplify]: Extracting #8: cost 142 inf + 30856 493.444 * * [simplify]: Extracting #9: cost 86 inf + 55804 493.455 * * [simplify]: Extracting #10: cost 50 inf + 70215 493.475 * * [simplify]: Extracting #11: cost 7 inf + 117890 493.501 * * [simplify]: Extracting #12: cost 1 inf + 125400 493.526 * * [simplify]: Extracting #13: cost 0 inf + 127625 493.550 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 493.550 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 493.551 * * * * [progress]: [ 1532 / 5906 ] simplifiying candidate # 493.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 493.551 * * [simplify]: iters left: 6 (52 enodes) 493.565 * * [simplify]: iters left: 5 (252 enodes) 493.620 * * [simplify]: Extracting #0: cost 1 inf + 0 493.620 * * [simplify]: Extracting #1: cost 3 inf + 0 493.620 * * [simplify]: Extracting #2: cost 6 inf + 0 493.620 * * [simplify]: Extracting #3: cost 62 inf + 0 493.620 * * [simplify]: Extracting #4: cost 151 inf + 0 493.621 * * [simplify]: Extracting #5: cost 218 inf + 44 493.622 * * [simplify]: Extracting #6: cost 255 inf + 2862 493.624 * * [simplify]: Extracting #7: cost 197 inf + 12069 493.629 * * [simplify]: Extracting #8: cost 130 inf + 31002 493.638 * * [simplify]: Extracting #9: cost 60 inf + 61127 493.659 * * [simplify]: Extracting #10: cost 9 inf + 112352 493.683 * * [simplify]: Extracting #11: cost 1 inf + 122552 493.707 * * [simplify]: Extracting #12: cost 0 inf + 124737 493.731 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 493.731 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 493.731 * * * * [progress]: [ 1533 / 5906 ] simplifiying candidate # 493.731 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 493.732 * * [simplify]: iters left: 6 (46 enodes) 493.743 * * [simplify]: iters left: 5 (216 enodes) 493.789 * * [simplify]: Extracting #0: cost 1 inf + 0 493.789 * * [simplify]: Extracting #1: cost 3 inf + 0 493.789 * * [simplify]: Extracting #2: cost 6 inf + 0 493.789 * * [simplify]: Extracting #3: cost 54 inf + 0 493.789 * * [simplify]: Extracting #4: cost 119 inf + 0 493.790 * * [simplify]: Extracting #5: cost 165 inf + 85 493.791 * * [simplify]: Extracting #6: cost 204 inf + 2414 493.792 * * [simplify]: Extracting #7: cost 164 inf + 9510 493.798 * * [simplify]: Extracting #8: cost 100 inf + 33302 493.806 * * [simplify]: Extracting #9: cost 51 inf + 54374 493.824 * * [simplify]: Extracting #10: cost 11 inf + 87214 493.842 * * [simplify]: Extracting #11: cost 1 inf + 98611 493.862 * * [simplify]: Extracting #12: cost 0 inf + 100516 493.882 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 493.882 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 493.883 * * * * [progress]: [ 1534 / 5906 ] simplifiying candidate # 493.883 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 493.883 * * [simplify]: iters left: 6 (51 enodes) 493.896 * * [simplify]: iters left: 5 (244 enodes) 493.949 * * [simplify]: Extracting #0: cost 1 inf + 0 493.949 * * [simplify]: Extracting #1: cost 3 inf + 0 493.949 * * [simplify]: Extracting #2: cost 10 inf + 0 493.949 * * [simplify]: Extracting #3: cost 74 inf + 0 493.949 * * [simplify]: Extracting #4: cost 137 inf + 1 493.950 * * [simplify]: Extracting #5: cost 187 inf + 249 493.950 * * [simplify]: Extracting #6: cost 229 inf + 2578 493.953 * * [simplify]: Extracting #7: cost 177 inf + 12449 493.957 * * [simplify]: Extracting #8: cost 136 inf + 28387 493.963 * * [simplify]: Extracting #9: cost 95 inf + 43337 493.973 * * [simplify]: Extracting #10: cost 55 inf + 60032 493.989 * * [simplify]: Extracting #11: cost 28 inf + 82387 494.010 * * [simplify]: Extracting #12: cost 3 inf + 112732 494.033 * * [simplify]: Extracting #13: cost 1 inf + 116902 494.056 * * [simplify]: Extracting #14: cost 0 inf + 119007 494.079 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 494.079 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 494.080 * * * * [progress]: [ 1535 / 5906 ] simplifiying candidate # 494.080 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 494.080 * * [simplify]: iters left: 6 (46 enodes) 494.093 * * [simplify]: iters left: 5 (216 enodes) 494.137 * * [simplify]: Extracting #0: cost 1 inf + 0 494.137 * * [simplify]: Extracting #1: cost 3 inf + 0 494.137 * * [simplify]: Extracting #2: cost 10 inf + 0 494.138 * * [simplify]: Extracting #3: cost 66 inf + 0 494.138 * * [simplify]: Extracting #4: cost 117 inf + 44 494.138 * * [simplify]: Extracting #5: cost 154 inf + 740 494.139 * * [simplify]: Extracting #6: cost 201 inf + 2654 494.141 * * [simplify]: Extracting #7: cost 173 inf + 6886 494.145 * * [simplify]: Extracting #8: cost 103 inf + 30316 494.154 * * [simplify]: Extracting #9: cost 43 inf + 58837 494.171 * * [simplify]: Extracting #10: cost 5 inf + 91667 494.190 * * [simplify]: Extracting #11: cost 0 inf + 97126 494.209 * * [simplify]: Extracting #12: cost 0 inf + 97046 494.227 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) 494.227 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 494.228 * * * * [progress]: [ 1536 / 5906 ] simplifiying candidate # 494.228 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 494.228 * * [simplify]: iters left: 6 (51 enodes) 494.241 * * [simplify]: iters left: 5 (244 enodes) 494.296 * * [simplify]: Extracting #0: cost 1 inf + 0 494.296 * * [simplify]: Extracting #1: cost 3 inf + 0 494.296 * * [simplify]: Extracting #2: cost 10 inf + 0 494.296 * * [simplify]: Extracting #3: cost 74 inf + 0 494.297 * * [simplify]: Extracting #4: cost 137 inf + 1 494.297 * * [simplify]: Extracting #5: cost 188 inf + 207 494.298 * * [simplify]: Extracting #6: cost 226 inf + 3104 494.300 * * [simplify]: Extracting #7: cost 173 inf + 13457 494.305 * * [simplify]: Extracting #8: cost 137 inf + 27905 494.311 * * [simplify]: Extracting #9: cost 95 inf + 44217 494.321 * * [simplify]: Extracting #10: cost 55 inf + 60992 494.336 * * [simplify]: Extracting #11: cost 27 inf + 84292 494.356 * * [simplify]: Extracting #12: cost 3 inf + 113692 494.379 * * [simplify]: Extracting #13: cost 1 inf + 117862 494.403 * * [simplify]: Extracting #14: cost 0 inf + 119967 494.426 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) 494.426 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 494.426 * * * * [progress]: [ 1537 / 5906 ] simplifiying candidate # 494.427 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 494.427 * * [simplify]: iters left: 6 (46 enodes) 494.439 * * [simplify]: iters left: 5 (216 enodes) 494.484 * * [simplify]: Extracting #0: cost 1 inf + 0 494.484 * * [simplify]: Extracting #1: cost 3 inf + 0 494.484 * * [simplify]: Extracting #2: cost 10 inf + 0 494.484 * * [simplify]: Extracting #3: cost 65 inf + 0 494.484 * * [simplify]: Extracting #4: cost 117 inf + 44 494.485 * * [simplify]: Extracting #5: cost 152 inf + 944 494.486 * * [simplify]: Extracting #6: cost 198 inf + 3140 494.487 * * [simplify]: Extracting #7: cost 169 inf + 7413 494.492 * * [simplify]: Extracting #8: cost 96 inf + 34550 494.502 * * [simplify]: Extracting #9: cost 35 inf + 64091 494.519 * * [simplify]: Extracting #10: cost 4 inf + 92492 494.538 * * [simplify]: Extracting #11: cost 0 inf + 96486 494.556 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 494.556 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 494.557 * * * * [progress]: [ 1538 / 5906 ] simplifiying candidate # 494.557 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 494.557 * * [simplify]: iters left: 6 (48 enodes) 494.570 * * [simplify]: iters left: 5 (230 enodes) 494.623 * * [simplify]: Extracting #0: cost 1 inf + 0 494.623 * * [simplify]: Extracting #1: cost 3 inf + 0 494.623 * * [simplify]: Extracting #2: cost 6 inf + 0 494.623 * * [simplify]: Extracting #3: cost 54 inf + 0 494.624 * * [simplify]: Extracting #4: cost 120 inf + 0 494.624 * * [simplify]: Extracting #5: cost 189 inf + 0 494.624 * * [simplify]: Extracting #6: cost 253 inf + 89 494.626 * * [simplify]: Extracting #7: cost 208 inf + 6394 494.630 * * [simplify]: Extracting #8: cost 129 inf + 26402 494.636 * * [simplify]: Extracting #9: cost 84 inf + 42493 494.646 * * [simplify]: Extracting #10: cost 40 inf + 62898 494.663 * * [simplify]: Extracting #11: cost 4 inf + 101838 494.685 * * [simplify]: Extracting #12: cost 0 inf + 107058 494.705 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 494.705 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 494.706 * * * * [progress]: [ 1539 / 5906 ] simplifiying candidate # 494.706 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 494.706 * * [simplify]: iters left: 6 (49 enodes) 494.719 * * [simplify]: iters left: 5 (239 enodes) 494.772 * * [simplify]: Extracting #0: cost 1 inf + 0 494.772 * * [simplify]: Extracting #1: cost 3 inf + 0 494.772 * * [simplify]: Extracting #2: cost 6 inf + 0 494.772 * * [simplify]: Extracting #3: cost 58 inf + 0 494.773 * * [simplify]: Extracting #4: cost 143 inf + 0 494.773 * * [simplify]: Extracting #5: cost 200 inf + 249 494.774 * * [simplify]: Extracting #6: cost 224 inf + 5329 494.777 * * [simplify]: Extracting #7: cost 182 inf + 15514 494.781 * * [simplify]: Extracting #8: cost 130 inf + 28082 494.788 * * [simplify]: Extracting #9: cost 87 inf + 45575 494.799 * * [simplify]: Extracting #10: cost 39 inf + 68180 494.817 * * [simplify]: Extracting #11: cost 2 inf + 106625 494.839 * * [simplify]: Extracting #12: cost 0 inf + 109675 494.859 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 494.859 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 494.860 * * * * [progress]: [ 1540 / 5906 ] simplifiying candidate # 494.860 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 494.860 * * [simplify]: iters left: 6 (49 enodes) 494.873 * * [simplify]: iters left: 5 (239 enodes) 494.930 * * [simplify]: Extracting #0: cost 1 inf + 0 494.930 * * [simplify]: Extracting #1: cost 3 inf + 0 494.930 * * [simplify]: Extracting #2: cost 6 inf + 0 494.930 * * [simplify]: Extracting #3: cost 60 inf + 0 494.930 * * [simplify]: Extracting #4: cost 141 inf + 0 494.931 * * [simplify]: Extracting #5: cost 196 inf + 208 494.932 * * [simplify]: Extracting #6: cost 218 inf + 6011 494.935 * * [simplify]: Extracting #7: cost 184 inf + 14501 494.939 * * [simplify]: Extracting #8: cost 126 inf + 29054 494.946 * * [simplify]: Extracting #9: cost 79 inf + 48847 494.957 * * [simplify]: Extracting #10: cost 36 inf + 69567 494.974 * * [simplify]: Extracting #11: cost 2 inf + 102857 494.994 * * [simplify]: Extracting #12: cost 0 inf + 105827 495.015 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 495.015 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 495.016 * * * * [progress]: [ 1541 / 5906 ] simplifiying candidate # 495.016 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 495.016 * * [simplify]: iters left: 6 (43 enodes) 495.027 * * [simplify]: iters left: 5 (203 enodes) 495.069 * * [simplify]: Extracting #0: cost 1 inf + 0 495.069 * * [simplify]: Extracting #1: cost 3 inf + 0 495.069 * * [simplify]: Extracting #2: cost 6 inf + 0 495.069 * * [simplify]: Extracting #3: cost 52 inf + 0 495.069 * * [simplify]: Extracting #4: cost 109 inf + 0 495.069 * * [simplify]: Extracting #5: cost 143 inf + 250 495.070 * * [simplify]: Extracting #6: cost 186 inf + 2047 495.072 * * [simplify]: Extracting #7: cost 161 inf + 7250 495.076 * * [simplify]: Extracting #8: cost 92 inf + 28975 495.087 * * [simplify]: Extracting #9: cost 33 inf + 55389 495.100 * * [simplify]: Extracting #10: cost 3 inf + 78011 495.116 * * [simplify]: Extracting #11: cost 0 inf + 82566 495.132 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 495.132 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 495.133 * * * * [progress]: [ 1542 / 5906 ] simplifiying candidate # 495.133 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 495.133 * * [simplify]: iters left: 6 (48 enodes) 495.145 * * [simplify]: iters left: 5 (231 enodes) 495.196 * * [simplify]: Extracting #0: cost 1 inf + 0 495.196 * * [simplify]: Extracting #1: cost 3 inf + 0 495.196 * * [simplify]: Extracting #2: cost 10 inf + 0 495.196 * * [simplify]: Extracting #3: cost 72 inf + 0 495.196 * * [simplify]: Extracting #4: cost 127 inf + 1 495.196 * * [simplify]: Extracting #5: cost 171 inf + 85 495.197 * * [simplify]: Extracting #6: cost 215 inf + 1924 495.199 * * [simplify]: Extracting #7: cost 184 inf + 8463 495.203 * * [simplify]: Extracting #8: cost 110 inf + 30619 495.213 * * [simplify]: Extracting #9: cost 30 inf + 68909 495.231 * * [simplify]: Extracting #10: cost 2 inf + 94967 495.253 * * [simplify]: Extracting #11: cost 0 inf + 97417 495.272 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 495.272 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 495.272 * * * * [progress]: [ 1543 / 5906 ] simplifiying candidate # 495.273 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 495.273 * * [simplify]: iters left: 6 (43 enodes) 495.284 * * [simplify]: iters left: 5 (203 enodes) 495.325 * * [simplify]: Extracting #0: cost 1 inf + 0 495.325 * * [simplify]: Extracting #1: cost 3 inf + 0 495.325 * * [simplify]: Extracting #2: cost 10 inf + 0 495.325 * * [simplify]: Extracting #3: cost 64 inf + 0 495.325 * * [simplify]: Extracting #4: cost 106 inf + 86 495.326 * * [simplify]: Extracting #5: cost 132 inf + 1107 495.327 * * [simplify]: Extracting #6: cost 179 inf + 2976 495.330 * * [simplify]: Extracting #7: cost 160 inf + 7529 495.334 * * [simplify]: Extracting #8: cost 99 inf + 24675 495.345 * * [simplify]: Extracting #9: cost 23 inf + 66616 495.361 * * [simplify]: Extracting #10: cost 1 inf + 81324 495.376 * * [simplify]: Extracting #11: cost 0 inf + 81296 495.392 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 495.392 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 495.392 * * * * [progress]: [ 1544 / 5906 ] simplifiying candidate # 495.393 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 495.393 * * [simplify]: iters left: 6 (48 enodes) 495.405 * * [simplify]: iters left: 5 (231 enodes) 495.455 * * [simplify]: Extracting #0: cost 1 inf + 0 495.455 * * [simplify]: Extracting #1: cost 3 inf + 0 495.455 * * [simplify]: Extracting #2: cost 10 inf + 0 495.455 * * [simplify]: Extracting #3: cost 72 inf + 0 495.456 * * [simplify]: Extracting #4: cost 127 inf + 1 495.456 * * [simplify]: Extracting #5: cost 169 inf + 168 495.457 * * [simplify]: Extracting #6: cost 213 inf + 2247 495.458 * * [simplify]: Extracting #7: cost 182 inf + 8666 495.463 * * [simplify]: Extracting #8: cost 111 inf + 29922 495.473 * * [simplify]: Extracting #9: cost 30 inf + 69709 495.490 * * [simplify]: Extracting #10: cost 2 inf + 95847 495.511 * * [simplify]: Extracting #11: cost 0 inf + 98297 495.530 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 495.530 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 495.530 * * * * [progress]: [ 1545 / 5906 ] simplifiying candidate # 495.530 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 495.531 * * [simplify]: iters left: 6 (43 enodes) 495.542 * * [simplify]: iters left: 5 (203 enodes) 495.587 * * [simplify]: Extracting #0: cost 1 inf + 0 495.587 * * [simplify]: Extracting #1: cost 3 inf + 0 495.587 * * [simplify]: Extracting #2: cost 10 inf + 0 495.587 * * [simplify]: Extracting #3: cost 63 inf + 0 495.588 * * [simplify]: Extracting #4: cost 107 inf + 44 495.588 * * [simplify]: Extracting #5: cost 135 inf + 821 495.589 * * [simplify]: Extracting #6: cost 180 inf + 2814 495.590 * * [simplify]: Extracting #7: cost 163 inf + 6560 495.594 * * [simplify]: Extracting #8: cost 101 inf + 23344 495.604 * * [simplify]: Extracting #9: cost 29 inf + 60157 495.618 * * [simplify]: Extracting #10: cost 6 inf + 76094 495.633 * * [simplify]: Extracting #11: cost 0 inf + 81696 495.648 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 495.648 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 495.649 * * * * [progress]: [ 1546 / 5906 ] simplifiying candidate # 495.649 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 495.650 * * [simplify]: iters left: 6 (47 enodes) 495.661 * * [simplify]: iters left: 5 (233 enodes) 495.714 * * [simplify]: Extracting #0: cost 1 inf + 0 495.714 * * [simplify]: Extracting #1: cost 3 inf + 0 495.714 * * [simplify]: Extracting #2: cost 6 inf + 0 495.714 * * [simplify]: Extracting #3: cost 54 inf + 0 495.715 * * [simplify]: Extracting #4: cost 120 inf + 0 495.715 * * [simplify]: Extracting #5: cost 189 inf + 0 495.716 * * [simplify]: Extracting #6: cost 268 inf + 169 495.717 * * [simplify]: Extracting #7: cost 223 inf + 7588 495.721 * * [simplify]: Extracting #8: cost 149 inf + 23453 495.727 * * [simplify]: Extracting #9: cost 87 inf + 43783 495.740 * * [simplify]: Extracting #10: cost 51 inf + 60639 495.752 * * [simplify]: Extracting #11: cost 33 inf + 72729 495.770 * * [simplify]: Extracting #12: cost 5 inf + 99949 495.790 * * [simplify]: Extracting #13: cost 0 inf + 106514 495.812 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 495.812 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 495.812 * * * * [progress]: [ 1547 / 5906 ] simplifiying candidate # 495.813 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 495.813 * * [simplify]: iters left: 6 (48 enodes) 495.825 * * [simplify]: iters left: 5 (242 enodes) 495.881 * * [simplify]: Extracting #0: cost 1 inf + 0 495.881 * * [simplify]: Extracting #1: cost 3 inf + 0 495.881 * * [simplify]: Extracting #2: cost 6 inf + 0 495.881 * * [simplify]: Extracting #3: cost 58 inf + 0 495.881 * * [simplify]: Extracting #4: cost 143 inf + 0 495.882 * * [simplify]: Extracting #5: cost 198 inf + 371 495.883 * * [simplify]: Extracting #6: cost 231 inf + 7264 495.886 * * [simplify]: Extracting #7: cost 204 inf + 13628 495.891 * * [simplify]: Extracting #8: cost 128 inf + 30608 495.900 * * [simplify]: Extracting #9: cost 58 inf + 58910 495.915 * * [simplify]: Extracting #10: cost 33 inf + 75426 495.934 * * [simplify]: Extracting #11: cost 6 inf + 101061 495.956 * * [simplify]: Extracting #12: cost 0 inf + 108491 495.978 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 495.978 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 495.979 * * * * [progress]: [ 1548 / 5906 ] simplifiying candidate # 495.979 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 495.979 * * [simplify]: iters left: 6 (48 enodes) 495.992 * * [simplify]: iters left: 5 (242 enodes) 496.048 * * [simplify]: Extracting #0: cost 1 inf + 0 496.048 * * [simplify]: Extracting #1: cost 3 inf + 0 496.048 * * [simplify]: Extracting #2: cost 6 inf + 0 496.048 * * [simplify]: Extracting #3: cost 60 inf + 0 496.048 * * [simplify]: Extracting #4: cost 141 inf + 0 496.049 * * [simplify]: Extracting #5: cost 197 inf + 127 496.050 * * [simplify]: Extracting #6: cost 253 inf + 2658 496.052 * * [simplify]: Extracting #7: cost 223 inf + 8971 496.056 * * [simplify]: Extracting #8: cost 152 inf + 24435 496.064 * * [simplify]: Extracting #9: cost 83 inf + 51180 496.079 * * [simplify]: Extracting #10: cost 36 inf + 73743 496.101 * * [simplify]: Extracting #11: cost 8 inf + 98323 496.124 * * [simplify]: Extracting #12: cost 0 inf + 107443 496.146 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 496.146 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 496.147 * * * * [progress]: [ 1549 / 5906 ] simplifiying candidate # 496.147 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 496.148 * * [simplify]: iters left: 6 (42 enodes) 496.158 * * [simplify]: iters left: 5 (206 enodes) 496.203 * * [simplify]: Extracting #0: cost 1 inf + 0 496.203 * * [simplify]: Extracting #1: cost 3 inf + 0 496.203 * * [simplify]: Extracting #2: cost 6 inf + 0 496.203 * * [simplify]: Extracting #3: cost 52 inf + 0 496.204 * * [simplify]: Extracting #4: cost 109 inf + 0 496.204 * * [simplify]: Extracting #5: cost 147 inf + 44 496.205 * * [simplify]: Extracting #6: cost 212 inf + 949 496.206 * * [simplify]: Extracting #7: cost 193 inf + 4443 496.210 * * [simplify]: Extracting #8: cost 114 inf + 26871 496.224 * * [simplify]: Extracting #9: cost 40 inf + 68094 496.241 * * [simplify]: Extracting #10: cost 9 inf + 79668 496.259 * * [simplify]: Extracting #11: cost 0 inf + 85782 496.280 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 496.280 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 496.280 * * * * [progress]: [ 1550 / 5906 ] simplifiying candidate # 496.281 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 496.281 * * [simplify]: iters left: 6 (47 enodes) 496.293 * * [simplify]: iters left: 5 (234 enodes) 496.346 * * [simplify]: Extracting #0: cost 1 inf + 0 496.346 * * [simplify]: Extracting #1: cost 3 inf + 0 496.346 * * [simplify]: Extracting #2: cost 10 inf + 0 496.347 * * [simplify]: Extracting #3: cost 72 inf + 0 496.347 * * [simplify]: Extracting #4: cost 127 inf + 1 496.347 * * [simplify]: Extracting #5: cost 170 inf + 126 496.348 * * [simplify]: Extracting #6: cost 234 inf + 2117 496.349 * * [simplify]: Extracting #7: cost 218 inf + 5966 496.353 * * [simplify]: Extracting #8: cost 144 inf + 21483 496.360 * * [simplify]: Extracting #9: cost 72 inf + 48121 496.377 * * [simplify]: Extracting #10: cost 8 inf + 93821 496.398 * * [simplify]: Extracting #11: cost 0 inf + 101193 496.419 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 496.419 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 496.420 * * * * [progress]: [ 1551 / 5906 ] simplifiying candidate # 496.420 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 496.420 * * [simplify]: iters left: 6 (42 enodes) 496.431 * * [simplify]: iters left: 5 (206 enodes) 496.475 * * [simplify]: Extracting #0: cost 1 inf + 0 496.475 * * [simplify]: Extracting #1: cost 3 inf + 0 496.475 * * [simplify]: Extracting #2: cost 10 inf + 0 496.475 * * [simplify]: Extracting #3: cost 64 inf + 0 496.475 * * [simplify]: Extracting #4: cost 106 inf + 86 496.476 * * [simplify]: Extracting #5: cost 129 inf + 1472 496.476 * * [simplify]: Extracting #6: cost 197 inf + 2932 496.478 * * [simplify]: Extracting #7: cost 194 inf + 4477 496.480 * * [simplify]: Extracting #8: cost 142 inf + 14103 496.486 * * [simplify]: Extracting #9: cost 82 inf + 38564 496.500 * * [simplify]: Extracting #10: cost 12 inf + 72793 496.518 * * [simplify]: Extracting #11: cost 2 inf + 80422 496.535 * * [simplify]: Extracting #12: cost 0 inf + 83112 496.551 * * [simplify]: Extracting #13: cost 0 inf + 83032 496.568 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 496.568 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 496.569 * * * * [progress]: [ 1552 / 5906 ] simplifiying candidate # 496.569 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 496.569 * * [simplify]: iters left: 6 (47 enodes) 496.581 * * [simplify]: iters left: 5 (234 enodes) 496.634 * * [simplify]: Extracting #0: cost 1 inf + 0 496.634 * * [simplify]: Extracting #1: cost 3 inf + 0 496.634 * * [simplify]: Extracting #2: cost 10 inf + 0 496.634 * * [simplify]: Extracting #3: cost 72 inf + 0 496.634 * * [simplify]: Extracting #4: cost 127 inf + 1 496.634 * * [simplify]: Extracting #5: cost 169 inf + 168 496.635 * * [simplify]: Extracting #6: cost 234 inf + 2199 496.637 * * [simplify]: Extracting #7: cost 223 inf + 4916 496.640 * * [simplify]: Extracting #8: cost 146 inf + 21140 496.647 * * [simplify]: Extracting #9: cost 73 inf + 46593 496.662 * * [simplify]: Extracting #10: cost 13 inf + 90056 496.683 * * [simplify]: Extracting #11: cost 0 inf + 101993 496.706 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 496.706 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 496.707 * * * * [progress]: [ 1553 / 5906 ] simplifiying candidate # 496.707 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 496.708 * * [simplify]: iters left: 6 (42 enodes) 496.719 * * [simplify]: iters left: 5 (206 enodes) 496.762 * * [simplify]: Extracting #0: cost 1 inf + 0 496.762 * * [simplify]: Extracting #1: cost 3 inf + 0 496.762 * * [simplify]: Extracting #2: cost 10 inf + 0 496.762 * * [simplify]: Extracting #3: cost 63 inf + 0 496.762 * * [simplify]: Extracting #4: cost 106 inf + 86 496.763 * * [simplify]: Extracting #5: cost 130 inf + 1310 496.764 * * [simplify]: Extracting #6: cost 197 inf + 2932 496.765 * * [simplify]: Extracting #7: cost 193 inf + 4639 496.769 * * [simplify]: Extracting #8: cost 141 inf + 14144 496.775 * * [simplify]: Extracting #9: cost 82 inf + 38661 496.789 * * [simplify]: Extracting #10: cost 13 inf + 72288 496.806 * * [simplify]: Extracting #11: cost 0 inf + 83952 496.823 * * [simplify]: Extracting #12: cost 0 inf + 83432 496.839 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 496.839 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 496.840 * * * * [progress]: [ 1554 / 5906 ] simplifiying candidate # 496.840 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 496.841 * * [simplify]: iters left: 6 (51 enodes) 496.854 * * [simplify]: iters left: 5 (256 enodes) 496.912 * * [simplify]: Extracting #0: cost 1 inf + 0 496.912 * * [simplify]: Extracting #1: cost 3 inf + 0 496.912 * * [simplify]: Extracting #2: cost 6 inf + 0 496.912 * * [simplify]: Extracting #3: cost 56 inf + 0 496.913 * * [simplify]: Extracting #4: cost 130 inf + 0 496.913 * * [simplify]: Extracting #5: cost 213 inf + 0 496.914 * * [simplify]: Extracting #6: cost 310 inf + 551 496.916 * * [simplify]: Extracting #7: cost 244 inf + 13031 496.920 * * [simplify]: Extracting #8: cost 160 inf + 28196 496.931 * * [simplify]: Extracting #9: cost 99 inf + 52780 496.944 * * [simplify]: Extracting #10: cost 47 inf + 78309 496.965 * * [simplify]: Extracting #11: cost 12 inf + 113222 496.990 * * [simplify]: Extracting #12: cost 1 inf + 127537 497.016 * * [simplify]: Extracting #13: cost 0 inf + 129602 497.044 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 497.044 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 497.045 * * * * [progress]: [ 1555 / 5906 ] simplifiying candidate # 497.045 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 497.045 * * [simplify]: iters left: 6 (52 enodes) 497.059 * * [simplify]: iters left: 5 (265 enodes) 497.121 * * [simplify]: Extracting #0: cost 1 inf + 0 497.121 * * [simplify]: Extracting #1: cost 3 inf + 0 497.121 * * [simplify]: Extracting #2: cost 6 inf + 0 497.121 * * [simplify]: Extracting #3: cost 60 inf + 0 497.122 * * [simplify]: Extracting #4: cost 153 inf + 0 497.122 * * [simplify]: Extracting #5: cost 227 inf + 43 497.123 * * [simplify]: Extracting #6: cost 291 inf + 4713 497.126 * * [simplify]: Extracting #7: cost 248 inf + 12855 497.130 * * [simplify]: Extracting #8: cost 169 inf + 27748 497.139 * * [simplify]: Extracting #9: cost 103 inf + 55695 497.153 * * [simplify]: Extracting #10: cost 51 inf + 79344 497.170 * * [simplify]: Extracting #11: cost 30 inf + 97389 497.195 * * [simplify]: Extracting #12: cost 5 inf + 126774 497.221 * * [simplify]: Extracting #13: cost 0 inf + 132659 497.247 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 497.247 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 497.248 * * * * [progress]: [ 1556 / 5906 ] simplifiying candidate # 497.248 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 497.249 * * [simplify]: iters left: 6 (52 enodes) 497.262 * * [simplify]: iters left: 5 (265 enodes) 497.322 * * [simplify]: Extracting #0: cost 1 inf + 0 497.323 * * [simplify]: Extracting #1: cost 3 inf + 0 497.323 * * [simplify]: Extracting #2: cost 6 inf + 0 497.323 * * [simplify]: Extracting #3: cost 62 inf + 0 497.323 * * [simplify]: Extracting #4: cost 151 inf + 0 497.323 * * [simplify]: Extracting #5: cost 221 inf + 127 497.325 * * [simplify]: Extracting #6: cost 288 inf + 3551 497.327 * * [simplify]: Extracting #7: cost 261 inf + 9660 497.331 * * [simplify]: Extracting #8: cost 193 inf + 20836 497.337 * * [simplify]: Extracting #9: cost 115 inf + 43375 497.351 * * [simplify]: Extracting #10: cost 59 inf + 72286 497.370 * * [simplify]: Extracting #11: cost 30 inf + 95781 497.394 * * [simplify]: Extracting #12: cost 5 inf + 123926 497.419 * * [simplify]: Extracting #13: cost 0 inf + 129251 497.445 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 497.446 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 497.446 * * * * [progress]: [ 1557 / 5906 ] simplifiying candidate # 497.446 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 497.447 * * [simplify]: iters left: 6 (46 enodes) 497.460 * * [simplify]: iters left: 5 (229 enodes) 497.509 * * [simplify]: Extracting #0: cost 1 inf + 0 497.509 * * [simplify]: Extracting #1: cost 3 inf + 0 497.509 * * [simplify]: Extracting #2: cost 6 inf + 0 497.509 * * [simplify]: Extracting #3: cost 54 inf + 0 497.510 * * [simplify]: Extracting #4: cost 119 inf + 0 497.510 * * [simplify]: Extracting #5: cost 169 inf + 167 497.511 * * [simplify]: Extracting #6: cost 246 inf + 2286 497.512 * * [simplify]: Extracting #7: cost 237 inf + 4561 497.516 * * [simplify]: Extracting #8: cost 139 inf + 25355 497.527 * * [simplify]: Extracting #9: cost 60 inf + 58645 497.545 * * [simplify]: Extracting #10: cost 10 inf + 98168 497.566 * * [simplify]: Extracting #11: cost 0 inf + 106350 497.588 * * [simplify]: Extracting #12: cost 0 inf + 106230 497.609 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 497.609 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 497.610 * * * * [progress]: [ 1558 / 5906 ] simplifiying candidate # 497.610 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 497.611 * * [simplify]: iters left: 6 (51 enodes) 497.625 * * [simplify]: iters left: 5 (257 enodes) 497.684 * * [simplify]: Extracting #0: cost 1 inf + 0 497.684 * * [simplify]: Extracting #1: cost 3 inf + 0 497.684 * * [simplify]: Extracting #2: cost 10 inf + 0 497.684 * * [simplify]: Extracting #3: cost 74 inf + 0 497.684 * * [simplify]: Extracting #4: cost 136 inf + 42 497.685 * * [simplify]: Extracting #5: cost 192 inf + 249 497.686 * * [simplify]: Extracting #6: cost 276 inf + 1801 497.687 * * [simplify]: Extracting #7: cost 253 inf + 7604 497.691 * * [simplify]: Extracting #8: cost 170 inf + 23317 497.701 * * [simplify]: Extracting #9: cost 97 inf + 51216 497.715 * * [simplify]: Extracting #10: cost 38 inf + 82171 497.735 * * [simplify]: Extracting #11: cost 5 inf + 113076 497.760 * * [simplify]: Extracting #12: cost 1 inf + 120016 497.785 * * [simplify]: Extracting #13: cost 0 inf + 122041 497.810 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 497.811 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 497.811 * * * * [progress]: [ 1559 / 5906 ] simplifiying candidate # 497.811 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 497.812 * * [simplify]: iters left: 6 (46 enodes) 497.824 * * [simplify]: iters left: 5 (229 enodes) 497.872 * * [simplify]: Extracting #0: cost 1 inf + 0 497.872 * * [simplify]: Extracting #1: cost 3 inf + 0 497.872 * * [simplify]: Extracting #2: cost 10 inf + 0 497.873 * * [simplify]: Extracting #3: cost 66 inf + 0 497.873 * * [simplify]: Extracting #4: cost 117 inf + 44 497.873 * * [simplify]: Extracting #5: cost 161 inf + 496 497.876 * * [simplify]: Extracting #6: cost 240 inf + 2932 497.877 * * [simplify]: Extracting #7: cost 238 inf + 4315 497.881 * * [simplify]: Extracting #8: cost 148 inf + 22652 497.890 * * [simplify]: Extracting #9: cost 59 inf + 57731 497.906 * * [simplify]: Extracting #10: cost 16 inf + 88055 497.927 * * [simplify]: Extracting #11: cost 0 inf + 102920 497.948 * * [simplify]: Extracting #12: cost 0 inf + 102760 497.971 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 497.971 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 497.972 * * * * [progress]: [ 1560 / 5906 ] simplifiying candidate # 497.972 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 497.972 * * [simplify]: iters left: 6 (51 enodes) 497.986 * * [simplify]: iters left: 5 (257 enodes) 498.043 * * [simplify]: Extracting #0: cost 1 inf + 0 498.043 * * [simplify]: Extracting #1: cost 3 inf + 0 498.043 * * [simplify]: Extracting #2: cost 10 inf + 0 498.043 * * [simplify]: Extracting #3: cost 74 inf + 0 498.043 * * [simplify]: Extracting #4: cost 136 inf + 42 498.044 * * [simplify]: Extracting #5: cost 192 inf + 248 498.047 * * [simplify]: Extracting #6: cost 275 inf + 2202 498.049 * * [simplify]: Extracting #7: cost 252 inf + 8218 498.054 * * [simplify]: Extracting #8: cost 141 inf + 35661 498.065 * * [simplify]: Extracting #9: cost 57 inf + 69662 498.086 * * [simplify]: Extracting #10: cost 6 inf + 114171 498.111 * * [simplify]: Extracting #11: cost 1 inf + 122056 498.138 * * [simplify]: Extracting #12: cost 0 inf + 124121 498.164 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 498.164 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 498.165 * * * * [progress]: [ 1561 / 5906 ] simplifiying candidate # 498.165 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 498.166 * * [simplify]: iters left: 6 (46 enodes) 498.178 * * [simplify]: iters left: 5 (229 enodes) 498.229 * * [simplify]: Extracting #0: cost 1 inf + 0 498.229 * * [simplify]: Extracting #1: cost 3 inf + 0 498.229 * * [simplify]: Extracting #2: cost 10 inf + 0 498.229 * * [simplify]: Extracting #3: cost 65 inf + 0 498.229 * * [simplify]: Extracting #4: cost 117 inf + 44 498.230 * * [simplify]: Extracting #5: cost 157 inf + 944 498.231 * * [simplify]: Extracting #6: cost 240 inf + 2932 498.232 * * [simplify]: Extracting #7: cost 239 inf + 4234 498.235 * * [simplify]: Extracting #8: cost 144 inf + 23662 498.245 * * [simplify]: Extracting #9: cost 59 inf + 58032 498.262 * * [simplify]: Extracting #10: cost 10 inf + 93205 498.285 * * [simplify]: Extracting #11: cost 0 inf + 103400 498.307 * * [simplify]: Extracting #12: cost 0 inf + 103160 498.329 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) 498.329 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 498.330 * * * * [progress]: [ 1562 / 5906 ] simplifiying candidate # 498.330 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 498.330 * * [simplify]: iters left: 6 (51 enodes) 498.343 * * [simplify]: iters left: 5 (256 enodes) 498.403 * * [simplify]: Extracting #0: cost 1 inf + 0 498.403 * * [simplify]: Extracting #1: cost 3 inf + 0 498.403 * * [simplify]: Extracting #2: cost 6 inf + 0 498.403 * * [simplify]: Extracting #3: cost 56 inf + 0 498.403 * * [simplify]: Extracting #4: cost 130 inf + 0 498.404 * * [simplify]: Extracting #5: cost 214 inf + 0 498.405 * * [simplify]: Extracting #6: cost 304 inf + 551 498.407 * * [simplify]: Extracting #7: cost 252 inf + 10563 498.411 * * [simplify]: Extracting #8: cost 152 inf + 31702 498.420 * * [simplify]: Extracting #9: cost 103 inf + 50583 498.432 * * [simplify]: Extracting #10: cost 56 inf + 72630 498.452 * * [simplify]: Extracting #11: cost 12 inf + 111250 498.477 * * [simplify]: Extracting #12: cost 1 inf + 125405 498.503 * * [simplify]: Extracting #13: cost 0 inf + 127430 498.529 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 498.529 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 498.530 * * * * [progress]: [ 1563 / 5906 ] simplifiying candidate # 498.530 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 498.530 * * [simplify]: iters left: 6 (52 enodes) 498.543 * * [simplify]: iters left: 5 (265 enodes) 498.606 * * [simplify]: Extracting #0: cost 1 inf + 0 498.606 * * [simplify]: Extracting #1: cost 3 inf + 0 498.606 * * [simplify]: Extracting #2: cost 6 inf + 0 498.606 * * [simplify]: Extracting #3: cost 60 inf + 0 498.606 * * [simplify]: Extracting #4: cost 153 inf + 0 498.607 * * [simplify]: Extracting #5: cost 226 inf + 127 498.608 * * [simplify]: Extracting #6: cost 285 inf + 3673 498.611 * * [simplify]: Extracting #7: cost 244 inf + 11610 498.616 * * [simplify]: Extracting #8: cost 168 inf + 26987 498.624 * * [simplify]: Extracting #9: cost 121 inf + 48196 498.635 * * [simplify]: Extracting #10: cost 92 inf + 62997 498.652 * * [simplify]: Extracting #11: cost 45 inf + 83642 498.669 * * [simplify]: Extracting #12: cost 30 inf + 97697 498.693 * * [simplify]: Extracting #13: cost 5 inf + 128602 498.719 * * [simplify]: Extracting #14: cost 0 inf + 136007 498.747 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 498.747 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 498.748 * * * * [progress]: [ 1564 / 5906 ] simplifiying candidate # 498.748 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 498.748 * * [simplify]: iters left: 6 (52 enodes) 498.762 * * [simplify]: iters left: 5 (265 enodes) 498.824 * * [simplify]: Extracting #0: cost 1 inf + 0 498.824 * * [simplify]: Extracting #1: cost 3 inf + 0 498.824 * * [simplify]: Extracting #2: cost 6 inf + 0 498.824 * * [simplify]: Extracting #3: cost 62 inf + 0 498.824 * * [simplify]: Extracting #4: cost 151 inf + 0 498.825 * * [simplify]: Extracting #5: cost 223 inf + 85 498.826 * * [simplify]: Extracting #6: cost 282 inf + 3590 498.828 * * [simplify]: Extracting #7: cost 258 inf + 9095 498.832 * * [simplify]: Extracting #8: cost 188 inf + 22258 498.838 * * [simplify]: Extracting #9: cost 127 inf + 38043 498.849 * * [simplify]: Extracting #10: cost 64 inf + 68699 498.865 * * [simplify]: Extracting #11: cost 33 inf + 92757 498.888 * * [simplify]: Extracting #12: cost 7 inf + 121144 498.915 * * [simplify]: Extracting #13: cost 0 inf + 128239 498.942 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) 498.942 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 498.942 * * * * [progress]: [ 1565 / 5906 ] simplifiying candidate # 498.943 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 498.943 * * [simplify]: iters left: 6 (46 enodes) 498.955 * * [simplify]: iters left: 5 (229 enodes) 499.006 * * [simplify]: Extracting #0: cost 1 inf + 0 499.006 * * [simplify]: Extracting #1: cost 3 inf + 0 499.006 * * [simplify]: Extracting #2: cost 6 inf + 0 499.006 * * [simplify]: Extracting #3: cost 54 inf + 0 499.006 * * [simplify]: Extracting #4: cost 119 inf + 0 499.006 * * [simplify]: Extracting #5: cost 170 inf + 167 499.007 * * [simplify]: Extracting #6: cost 242 inf + 2042 499.008 * * [simplify]: Extracting #7: cost 236 inf + 3912 499.012 * * [simplify]: Extracting #8: cost 133 inf + 26249 499.022 * * [simplify]: Extracting #9: cost 56 inf + 59861 499.039 * * [simplify]: Extracting #10: cost 14 inf + 93898 499.060 * * [simplify]: Extracting #11: cost 0 inf + 104698 499.083 * * [simplify]: Extracting #12: cost 0 inf + 104298 499.104 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 499.104 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 499.105 * * * * [progress]: [ 1566 / 5906 ] simplifiying candidate # 499.105 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 499.105 * * [simplify]: iters left: 6 (51 enodes) 499.118 * * [simplify]: iters left: 5 (257 enodes) 499.177 * * [simplify]: Extracting #0: cost 1 inf + 0 499.177 * * [simplify]: Extracting #1: cost 3 inf + 0 499.177 * * [simplify]: Extracting #2: cost 10 inf + 0 499.178 * * [simplify]: Extracting #3: cost 74 inf + 0 499.178 * * [simplify]: Extracting #4: cost 136 inf + 42 499.178 * * [simplify]: Extracting #5: cost 193 inf + 249 499.179 * * [simplify]: Extracting #6: cost 267 inf + 2486 499.181 * * [simplify]: Extracting #7: cost 251 inf + 5813 499.186 * * [simplify]: Extracting #8: cost 143 inf + 34005 499.202 * * [simplify]: Extracting #9: cost 26 inf + 96043 499.226 * * [simplify]: Extracting #10: cost 3 inf + 115314 499.254 * * [simplify]: Extracting #11: cost 1 inf + 119324 499.279 * * [simplify]: Extracting #12: cost 0 inf + 121349 499.304 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 499.304 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 499.305 * * * * [progress]: [ 1567 / 5906 ] simplifiying candidate # 499.305 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 499.305 * * [simplify]: iters left: 6 (46 enodes) 499.317 * * [simplify]: iters left: 5 (229 enodes) 499.368 * * [simplify]: Extracting #0: cost 1 inf + 0 499.368 * * [simplify]: Extracting #1: cost 3 inf + 0 499.368 * * [simplify]: Extracting #2: cost 10 inf + 0 499.368 * * [simplify]: Extracting #3: cost 66 inf + 0 499.368 * * [simplify]: Extracting #4: cost 117 inf + 44 499.369 * * [simplify]: Extracting #5: cost 162 inf + 496 499.370 * * [simplify]: Extracting #6: cost 235 inf + 2770 499.371 * * [simplify]: Extracting #7: cost 232 inf + 4314 499.375 * * [simplify]: Extracting #8: cost 134 inf + 26055 499.384 * * [simplify]: Extracting #9: cost 60 inf + 56118 499.402 * * [simplify]: Extracting #10: cost 11 inf + 92775 499.423 * * [simplify]: Extracting #11: cost 0 inf + 101988 499.445 * * [simplify]: Extracting #12: cost 0 inf + 101908 499.466 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 499.466 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 499.467 * * * * [progress]: [ 1568 / 5906 ] simplifiying candidate # 499.467 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 499.467 * * [simplify]: iters left: 6 (51 enodes) 499.480 * * [simplify]: iters left: 5 (257 enodes) 499.540 * * [simplify]: Extracting #0: cost 1 inf + 0 499.540 * * [simplify]: Extracting #1: cost 3 inf + 0 499.540 * * [simplify]: Extracting #2: cost 10 inf + 0 499.541 * * [simplify]: Extracting #3: cost 74 inf + 0 499.541 * * [simplify]: Extracting #4: cost 136 inf + 42 499.541 * * [simplify]: Extracting #5: cost 193 inf + 248 499.542 * * [simplify]: Extracting #6: cost 265 inf + 3330 499.544 * * [simplify]: Extracting #7: cost 244 inf + 8271 499.548 * * [simplify]: Extracting #8: cost 150 inf + 29400 499.560 * * [simplify]: Extracting #9: cost 52 inf + 72033 499.581 * * [simplify]: Extracting #10: cost 5 inf + 113184 499.608 * * [simplify]: Extracting #11: cost 1 inf + 120124 499.634 * * [simplify]: Extracting #12: cost 0 inf + 122149 499.659 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 499.659 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 499.660 * * * * [progress]: [ 1569 / 5906 ] simplifiying candidate # 499.660 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 499.660 * * [simplify]: iters left: 6 (46 enodes) 499.672 * * [simplify]: iters left: 5 (229 enodes) 499.724 * * [simplify]: Extracting #0: cost 1 inf + 0 499.724 * * [simplify]: Extracting #1: cost 3 inf + 0 499.724 * * [simplify]: Extracting #2: cost 10 inf + 0 499.725 * * [simplify]: Extracting #3: cost 65 inf + 0 499.725 * * [simplify]: Extracting #4: cost 117 inf + 44 499.725 * * [simplify]: Extracting #5: cost 161 inf + 538 499.726 * * [simplify]: Extracting #6: cost 235 inf + 2770 499.727 * * [simplify]: Extracting #7: cost 232 inf + 4314 499.732 * * [simplify]: Extracting #8: cost 136 inf + 25546 499.741 * * [simplify]: Extracting #9: cost 61 inf + 55714 499.760 * * [simplify]: Extracting #10: cost 9 inf + 94151 499.786 * * [simplify]: Extracting #11: cost 0 inf + 102388 499.810 * * [simplify]: Extracting #12: cost 0 inf + 102308 499.830 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 499.831 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 499.831 * * * * [progress]: [ 1570 / 5906 ] simplifiying candidate # 499.831 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 499.832 * * [simplify]: iters left: 6 (47 enodes) 499.844 * * [simplify]: iters left: 5 (229 enodes) 499.897 * * [simplify]: Extracting #0: cost 1 inf + 0 499.897 * * [simplify]: Extracting #1: cost 3 inf + 0 499.897 * * [simplify]: Extracting #2: cost 6 inf + 0 499.897 * * [simplify]: Extracting #3: cost 48 inf + 0 499.897 * * [simplify]: Extracting #4: cost 112 inf + 0 499.897 * * [simplify]: Extracting #5: cost 181 inf + 0 499.898 * * [simplify]: Extracting #6: cost 261 inf + 128 499.899 * * [simplify]: Extracting #7: cost 235 inf + 3922 499.902 * * [simplify]: Extracting #8: cost 152 inf + 19844 499.908 * * [simplify]: Extracting #9: cost 86 inf + 41040 499.918 * * [simplify]: Extracting #10: cost 43 inf + 60106 499.929 * * [simplify]: Extracting #11: cost 30 inf + 69210 499.947 * * [simplify]: Extracting #12: cost 4 inf + 95260 499.969 * * [simplify]: Extracting #13: cost 0 inf + 100720 499.990 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 499.990 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 499.991 * * * * [progress]: [ 1571 / 5906 ] simplifiying candidate # 499.991 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 499.991 * * [simplify]: iters left: 6 (48 enodes) 500.003 * * [simplify]: iters left: 5 (238 enodes) 500.057 * * [simplify]: Extracting #0: cost 1 inf + 0 500.058 * * [simplify]: Extracting #1: cost 3 inf + 0 500.058 * * [simplify]: Extracting #2: cost 6 inf + 0 500.058 * * [simplify]: Extracting #3: cost 52 inf + 0 500.058 * * [simplify]: Extracting #4: cost 135 inf + 0 500.058 * * [simplify]: Extracting #5: cost 188 inf + 534 500.060 * * [simplify]: Extracting #6: cost 231 inf + 5368 500.062 * * [simplify]: Extracting #7: cost 208 inf + 10203 500.066 * * [simplify]: Extracting #8: cost 131 inf + 26163 500.074 * * [simplify]: Extracting #9: cost 55 inf + 55732 500.086 * * [simplify]: Extracting #10: cost 31 inf + 70482 500.104 * * [simplify]: Extracting #11: cost 6 inf + 94907 500.127 * * [simplify]: Extracting #12: cost 0 inf + 102337 500.147 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 500.147 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 500.147 * * * * [progress]: [ 1572 / 5906 ] simplifiying candidate # 500.148 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 500.148 * * [simplify]: iters left: 6 (48 enodes) 500.161 * * [simplify]: iters left: 5 (238 enodes) 500.215 * * [simplify]: Extracting #0: cost 1 inf + 0 500.215 * * [simplify]: Extracting #1: cost 3 inf + 0 500.215 * * [simplify]: Extracting #2: cost 6 inf + 0 500.215 * * [simplify]: Extracting #3: cost 54 inf + 0 500.216 * * [simplify]: Extracting #4: cost 133 inf + 0 500.216 * * [simplify]: Extracting #5: cost 187 inf + 290 500.217 * * [simplify]: Extracting #6: cost 230 inf + 4764 500.219 * * [simplify]: Extracting #7: cost 205 inf + 10671 500.223 * * [simplify]: Extracting #8: cost 127 inf + 26794 500.232 * * [simplify]: Extracting #9: cost 51 inf + 57701 500.244 * * [simplify]: Extracting #10: cost 30 inf + 70859 500.261 * * [simplify]: Extracting #11: cost 9 inf + 91464 500.281 * * [simplify]: Extracting #12: cost 0 inf + 101329 500.303 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))))) 500.303 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 500.304 * * * * [progress]: [ 1573 / 5906 ] simplifiying candidate # 500.304 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 500.304 * * [simplify]: iters left: 6 (42 enodes) 500.315 * * [simplify]: iters left: 5 (203 enodes) 500.357 * * [simplify]: Extracting #0: cost 1 inf + 0 500.357 * * [simplify]: Extracting #1: cost 3 inf + 0 500.357 * * [simplify]: Extracting #2: cost 6 inf + 0 500.357 * * [simplify]: Extracting #3: cost 46 inf + 0 500.358 * * [simplify]: Extracting #4: cost 101 inf + 0 500.358 * * [simplify]: Extracting #5: cost 138 inf + 85 500.359 * * [simplify]: Extracting #6: cost 198 inf + 1799 500.360 * * [simplify]: Extracting #7: cost 187 inf + 4441 500.363 * * [simplify]: Extracting #8: cost 113 inf + 21280 500.372 * * [simplify]: Extracting #9: cost 57 inf + 41445 500.385 * * [simplify]: Extracting #10: cost 10 inf + 74343 500.403 * * [simplify]: Extracting #11: cost 0 inf + 80588 500.420 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) 500.420 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 500.421 * * * * [progress]: [ 1574 / 5906 ] simplifiying candidate # 500.421 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 500.422 * * [simplify]: iters left: 6 (47 enodes) 500.434 * * [simplify]: iters left: 5 (231 enodes) 500.485 * * [simplify]: Extracting #0: cost 1 inf + 0 500.485 * * [simplify]: Extracting #1: cost 3 inf + 0 500.485 * * [simplify]: Extracting #2: cost 10 inf + 0 500.485 * * [simplify]: Extracting #3: cost 62 inf + 0 500.485 * * [simplify]: Extracting #4: cost 115 inf + 42 500.486 * * [simplify]: Extracting #5: cost 155 inf + 331 500.486 * * [simplify]: Extracting #6: cost 218 inf + 2727 500.488 * * [simplify]: Extracting #7: cost 200 inf + 6862 500.492 * * [simplify]: Extracting #8: cost 115 inf + 28851 500.505 * * [simplify]: Extracting #9: cost 27 inf + 74157 500.523 * * [simplify]: Extracting #10: cost 7 inf + 89581 500.541 * * [simplify]: Extracting #11: cost 0 inf + 93564 500.562 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 500.562 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 500.563 * * * * [progress]: [ 1575 / 5906 ] simplifiying candidate # 500.563 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 500.563 * * [simplify]: iters left: 6 (42 enodes) 500.575 * * [simplify]: iters left: 5 (204 enodes) 500.616 * * [simplify]: Extracting #0: cost 1 inf + 0 500.616 * * [simplify]: Extracting #1: cost 3 inf + 0 500.616 * * [simplify]: Extracting #2: cost 10 inf + 0 500.617 * * [simplify]: Extracting #3: cost 54 inf + 0 500.617 * * [simplify]: Extracting #4: cost 95 inf + 86 500.617 * * [simplify]: Extracting #5: cost 122 inf + 864 500.618 * * [simplify]: Extracting #6: cost 186 inf + 2932 500.619 * * [simplify]: Extracting #7: cost 181 inf + 4681 500.623 * * [simplify]: Extracting #8: cost 134 inf + 12896 500.629 * * [simplify]: Extracting #9: cost 73 inf + 35414 500.639 * * [simplify]: Extracting #10: cost 20 inf + 58813 500.653 * * [simplify]: Extracting #11: cost 3 inf + 72048 500.668 * * [simplify]: Extracting #12: cost 0 inf + 76363 500.683 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 500.683 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 500.683 * * * * [progress]: [ 1576 / 5906 ] simplifiying candidate # 500.684 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 500.684 * * [simplify]: iters left: 6 (47 enodes) 500.696 * * [simplify]: iters left: 5 (231 enodes) 500.748 * * [simplify]: Extracting #0: cost 1 inf + 0 500.748 * * [simplify]: Extracting #1: cost 3 inf + 0 500.748 * * [simplify]: Extracting #2: cost 10 inf + 0 500.748 * * [simplify]: Extracting #3: cost 62 inf + 0 500.749 * * [simplify]: Extracting #4: cost 115 inf + 42 500.749 * * [simplify]: Extracting #5: cost 155 inf + 332 500.750 * * [simplify]: Extracting #6: cost 213 inf + 3897 500.752 * * [simplify]: Extracting #7: cost 200 inf + 6821 500.756 * * [simplify]: Extracting #8: cost 116 inf + 28749 500.769 * * [simplify]: Extracting #9: cost 25 inf + 75165 500.787 * * [simplify]: Extracting #10: cost 5 inf + 91189 500.808 * * [simplify]: Extracting #11: cost 0 inf + 94204 500.827 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 500.827 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 500.827 * * * * [progress]: [ 1577 / 5906 ] simplifiying candidate # 500.828 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 500.828 * * [simplify]: iters left: 6 (42 enodes) 500.839 * * [simplify]: iters left: 5 (204 enodes) 500.882 * * [simplify]: Extracting #0: cost 1 inf + 0 500.882 * * [simplify]: Extracting #1: cost 3 inf + 0 500.882 * * [simplify]: Extracting #2: cost 10 inf + 0 500.882 * * [simplify]: Extracting #3: cost 53 inf + 0 500.883 * * [simplify]: Extracting #4: cost 95 inf + 86 500.883 * * [simplify]: Extracting #5: cost 120 inf + 1108 500.884 * * [simplify]: Extracting #6: cost 186 inf + 2932 500.885 * * [simplify]: Extracting #7: cost 181 inf + 4681 500.887 * * [simplify]: Extracting #8: cost 135 inf + 12775 500.893 * * [simplify]: Extracting #9: cost 72 inf + 36768 500.903 * * [simplify]: Extracting #10: cost 19 inf + 59114 500.917 * * [simplify]: Extracting #11: cost 3 inf + 72408 500.932 * * [simplify]: Extracting #12: cost 0 inf + 76683 500.946 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 500.946 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 500.947 * * * * [progress]: [ 1578 / 5906 ] simplifiying candidate # 500.947 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 500.948 * * [simplify]: iters left: 6 (52 enodes) 500.961 * * [simplify]: iters left: 5 (254 enodes) 501.018 * * [simplify]: Extracting #0: cost 1 inf + 0 501.018 * * [simplify]: Extracting #1: cost 3 inf + 0 501.018 * * [simplify]: Extracting #2: cost 6 inf + 0 501.018 * * [simplify]: Extracting #3: cost 56 inf + 0 501.018 * * [simplify]: Extracting #4: cost 130 inf + 0 501.019 * * [simplify]: Extracting #5: cost 208 inf + 0 501.019 * * [simplify]: Extracting #6: cost 300 inf + 469 501.021 * * [simplify]: Extracting #7: cost 238 inf + 10448 501.028 * * [simplify]: Extracting #8: cost 113 inf + 47546 501.043 * * [simplify]: Extracting #9: cost 51 inf + 72534 501.063 * * [simplify]: Extracting #10: cost 18 inf + 105175 501.087 * * [simplify]: Extracting #11: cost 0 inf + 128025 501.113 * * [simplify]: Extracting #12: cost 0 inf + 127505 501.138 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 501.138 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 501.138 * * * * [progress]: [ 1579 / 5906 ] simplifiying candidate # 501.138 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 501.139 * * [simplify]: iters left: 6 (53 enodes) 501.153 * * [simplify]: iters left: 5 (263 enodes) 501.211 * * [simplify]: Extracting #0: cost 1 inf + 0 501.211 * * [simplify]: Extracting #1: cost 3 inf + 0 501.211 * * [simplify]: Extracting #2: cost 6 inf + 0 501.211 * * [simplify]: Extracting #3: cost 60 inf + 0 501.211 * * [simplify]: Extracting #4: cost 153 inf + 0 501.212 * * [simplify]: Extracting #5: cost 222 inf + 44 501.215 * * [simplify]: Extracting #6: cost 277 inf + 4518 501.218 * * [simplify]: Extracting #7: cost 241 inf + 10637 501.222 * * [simplify]: Extracting #8: cost 172 inf + 24276 501.230 * * [simplify]: Extracting #9: cost 98 inf + 56677 501.243 * * [simplify]: Extracting #10: cost 46 inf + 79652 501.263 * * [simplify]: Extracting #11: cost 12 inf + 113502 501.287 * * [simplify]: Extracting #12: cost 0 inf + 127802 501.312 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 501.313 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 501.313 * * * * [progress]: [ 1580 / 5906 ] simplifiying candidate # 501.313 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 501.314 * * [simplify]: iters left: 6 (53 enodes) 501.328 * * [simplify]: iters left: 5 (263 enodes) 501.389 * * [simplify]: Extracting #0: cost 1 inf + 0 501.389 * * [simplify]: Extracting #1: cost 3 inf + 0 501.389 * * [simplify]: Extracting #2: cost 6 inf + 0 501.389 * * [simplify]: Extracting #3: cost 62 inf + 0 501.389 * * [simplify]: Extracting #4: cost 151 inf + 0 501.390 * * [simplify]: Extracting #5: cost 219 inf + 2 501.391 * * [simplify]: Extracting #6: cost 287 inf + 2731 501.393 * * [simplify]: Extracting #7: cost 213 inf + 16086 501.400 * * [simplify]: Extracting #8: cost 145 inf + 38685 501.409 * * [simplify]: Extracting #9: cost 92 inf + 59706 501.422 * * [simplify]: Extracting #10: cost 48 inf + 77076 501.442 * * [simplify]: Extracting #11: cost 12 inf + 114854 501.468 * * [simplify]: Extracting #12: cost 0 inf + 128394 501.493 * * [simplify]: Extracting #13: cost 0 inf + 128074 501.518 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 501.518 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 501.519 * * * * [progress]: [ 1581 / 5906 ] simplifiying candidate # 501.519 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 501.519 * * [simplify]: iters left: 6 (47 enodes) 501.531 * * [simplify]: iters left: 5 (227 enodes) 501.581 * * [simplify]: Extracting #0: cost 1 inf + 0 501.581 * * [simplify]: Extracting #1: cost 3 inf + 0 501.581 * * [simplify]: Extracting #2: cost 6 inf + 0 501.581 * * [simplify]: Extracting #3: cost 54 inf + 0 501.581 * * [simplify]: Extracting #4: cost 119 inf + 0 501.582 * * [simplify]: Extracting #5: cost 167 inf + 44 501.582 * * [simplify]: Extracting #6: cost 241 inf + 1316 501.584 * * [simplify]: Extracting #7: cost 225 inf + 4399 501.586 * * [simplify]: Extracting #8: cost 164 inf + 17467 501.594 * * [simplify]: Extracting #9: cost 73 inf + 48918 501.606 * * [simplify]: Extracting #10: cost 28 inf + 75103 501.624 * * [simplify]: Extracting #11: cost 4 inf + 99117 501.647 * * [simplify]: Extracting #12: cost 1 inf + 103872 501.669 * * [simplify]: Extracting #13: cost 0 inf + 105737 501.690 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 501.690 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 501.691 * * * * [progress]: [ 1582 / 5906 ] simplifiying candidate # 501.691 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 501.692 * * [simplify]: iters left: 6 (52 enodes) 501.705 * * [simplify]: iters left: 5 (255 enodes) 501.761 * * [simplify]: Extracting #0: cost 1 inf + 0 501.761 * * [simplify]: Extracting #1: cost 3 inf + 0 501.761 * * [simplify]: Extracting #2: cost 10 inf + 0 501.761 * * [simplify]: Extracting #3: cost 74 inf + 0 501.761 * * [simplify]: Extracting #4: cost 137 inf + 1 501.762 * * [simplify]: Extracting #5: cost 187 inf + 248 501.763 * * [simplify]: Extracting #6: cost 266 inf + 1798 501.765 * * [simplify]: Extracting #7: cost 228 inf + 8041 501.768 * * [simplify]: Extracting #8: cost 175 inf + 19304 501.774 * * [simplify]: Extracting #9: cost 115 inf + 39954 501.784 * * [simplify]: Extracting #10: cost 53 inf + 67883 501.797 * * [simplify]: Extracting #11: cost 42 inf + 75814 501.818 * * [simplify]: Extracting #12: cost 6 inf + 111234 501.842 * * [simplify]: Extracting #13: cost 0 inf + 119744 501.866 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 501.866 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 501.866 * * * * [progress]: [ 1583 / 5906 ] simplifiying candidate # 501.867 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 501.867 * * [simplify]: iters left: 6 (47 enodes) 501.879 * * [simplify]: iters left: 5 (227 enodes) 501.927 * * [simplify]: Extracting #0: cost 1 inf + 0 501.927 * * [simplify]: Extracting #1: cost 3 inf + 0 501.927 * * [simplify]: Extracting #2: cost 10 inf + 0 501.927 * * [simplify]: Extracting #3: cost 66 inf + 0 501.928 * * [simplify]: Extracting #4: cost 117 inf + 44 501.928 * * [simplify]: Extracting #5: cost 152 inf + 984 501.929 * * [simplify]: Extracting #6: cost 228 inf + 2932 501.930 * * [simplify]: Extracting #7: cost 218 inf + 4882 501.933 * * [simplify]: Extracting #8: cost 161 inf + 17672 501.942 * * [simplify]: Extracting #9: cost 63 inf + 50859 501.958 * * [simplify]: Extracting #10: cost 8 inf + 92311 501.978 * * [simplify]: Extracting #11: cost 1 inf + 98838 502.001 * * [simplify]: Extracting #12: cost 0 inf + 100263 502.021 * * [simplify]: Extracting #13: cost 0 inf + 99903 502.040 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)))))) 502.040 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 502.041 * * * * [progress]: [ 1584 / 5906 ] simplifiying candidate # 502.041 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 502.042 * * [simplify]: iters left: 6 (52 enodes) 502.055 * * [simplify]: iters left: 5 (255 enodes) 502.111 * * [simplify]: Extracting #0: cost 1 inf + 0 502.111 * * [simplify]: Extracting #1: cost 3 inf + 0 502.111 * * [simplify]: Extracting #2: cost 10 inf + 0 502.111 * * [simplify]: Extracting #3: cost 74 inf + 0 502.111 * * [simplify]: Extracting #4: cost 137 inf + 1 502.112 * * [simplify]: Extracting #5: cost 187 inf + 248 502.112 * * [simplify]: Extracting #6: cost 268 inf + 1353 502.114 * * [simplify]: Extracting #7: cost 234 inf + 6429 502.117 * * [simplify]: Extracting #8: cost 177 inf + 18770 502.123 * * [simplify]: Extracting #9: cost 115 inf + 40154 502.134 * * [simplify]: Extracting #10: cost 53 inf + 68843 502.148 * * [simplify]: Extracting #11: cost 42 inf + 76774 502.168 * * [simplify]: Extracting #12: cost 6 inf + 112194 502.192 * * [simplify]: Extracting #13: cost 0 inf + 120704 502.215 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 502.216 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 502.216 * * * * [progress]: [ 1585 / 5906 ] simplifiying candidate # 502.217 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 502.217 * * [simplify]: iters left: 6 (47 enodes) 502.229 * * [simplify]: iters left: 5 (227 enodes) 502.278 * * [simplify]: Extracting #0: cost 1 inf + 0 502.279 * * [simplify]: Extracting #1: cost 3 inf + 0 502.279 * * [simplify]: Extracting #2: cost 10 inf + 0 502.279 * * [simplify]: Extracting #3: cost 65 inf + 0 502.279 * * [simplify]: Extracting #4: cost 117 inf + 44 502.279 * * [simplify]: Extracting #5: cost 154 inf + 780 502.280 * * [simplify]: Extracting #6: cost 230 inf + 2608 502.281 * * [simplify]: Extracting #7: cost 220 inf + 4720 502.284 * * [simplify]: Extracting #8: cost 160 inf + 18257 502.292 * * [simplify]: Extracting #9: cost 61 inf + 51974 502.308 * * [simplify]: Extracting #10: cost 7 inf + 91981 502.329 * * [simplify]: Extracting #11: cost 1 inf + 98678 502.349 * * [simplify]: Extracting #12: cost 0 inf + 100383 502.369 * * [simplify]: Extracting #13: cost 0 inf + 100303 502.389 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)))))) 502.389 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 502.390 * * * * [progress]: [ 1586 / 5906 ] simplifiying candidate # 502.390 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 502.391 * * [simplify]: iters left: 6 (52 enodes) 502.404 * * [simplify]: iters left: 5 (254 enodes) 502.460 * * [simplify]: Extracting #0: cost 1 inf + 0 502.460 * * [simplify]: Extracting #1: cost 3 inf + 0 502.460 * * [simplify]: Extracting #2: cost 6 inf + 0 502.460 * * [simplify]: Extracting #3: cost 56 inf + 0 502.461 * * [simplify]: Extracting #4: cost 130 inf + 0 502.461 * * [simplify]: Extracting #5: cost 207 inf + 0 502.462 * * [simplify]: Extracting #6: cost 288 inf + 754 502.464 * * [simplify]: Extracting #7: cost 218 inf + 14870 502.472 * * [simplify]: Extracting #8: cost 101 inf + 54291 502.484 * * [simplify]: Extracting #9: cost 51 inf + 70943 502.504 * * [simplify]: Extracting #10: cost 16 inf + 104903 502.528 * * [simplify]: Extracting #11: cost 0 inf + 125143 502.551 * * [simplify]: Extracting #12: cost 0 inf + 124703 502.576 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) 502.577 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 502.577 * * * * [progress]: [ 1587 / 5906 ] simplifiying candidate # 502.578 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 502.578 * * [simplify]: iters left: 6 (53 enodes) 502.593 * * [simplify]: iters left: 5 (263 enodes) 502.650 * * [simplify]: Extracting #0: cost 1 inf + 0 502.650 * * [simplify]: Extracting #1: cost 3 inf + 0 502.650 * * [simplify]: Extracting #2: cost 6 inf + 0 502.651 * * [simplify]: Extracting #3: cost 60 inf + 0 502.651 * * [simplify]: Extracting #4: cost 153 inf + 0 502.651 * * [simplify]: Extracting #5: cost 221 inf + 44 502.653 * * [simplify]: Extracting #6: cost 268 inf + 4846 502.655 * * [simplify]: Extracting #7: cost 209 inf + 15418 502.664 * * [simplify]: Extracting #8: cost 138 inf + 40079 502.674 * * [simplify]: Extracting #9: cost 89 inf + 60506 502.686 * * [simplify]: Extracting #10: cost 45 inf + 77715 502.705 * * [simplify]: Extracting #11: cost 10 inf + 113150 502.729 * * [simplify]: Extracting #12: cost 0 inf + 126080 502.753 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 502.753 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 502.754 * * * * [progress]: [ 1588 / 5906 ] simplifiying candidate # 502.754 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 502.754 * * [simplify]: iters left: 6 (53 enodes) 502.768 * * [simplify]: iters left: 5 (263 enodes) 502.828 * * [simplify]: Extracting #0: cost 1 inf + 0 502.828 * * [simplify]: Extracting #1: cost 3 inf + 0 502.828 * * [simplify]: Extracting #2: cost 6 inf + 0 502.828 * * [simplify]: Extracting #3: cost 62 inf + 0 502.828 * * [simplify]: Extracting #4: cost 151 inf + 0 502.829 * * [simplify]: Extracting #5: cost 218 inf + 2 502.830 * * [simplify]: Extracting #6: cost 278 inf + 2940 502.833 * * [simplify]: Extracting #7: cost 204 inf + 16862 502.840 * * [simplify]: Extracting #8: cost 145 inf + 38145 502.849 * * [simplify]: Extracting #9: cost 93 inf + 58480 502.862 * * [simplify]: Extracting #10: cost 44 inf + 78452 502.882 * * [simplify]: Extracting #11: cost 11 inf + 111837 502.906 * * [simplify]: Extracting #12: cost 0 inf + 125112 502.931 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 502.931 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 502.932 * * * * [progress]: [ 1589 / 5906 ] simplifiying candidate # 502.932 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 502.932 * * [simplify]: iters left: 6 (47 enodes) 502.944 * * [simplify]: iters left: 5 (227 enodes) 502.994 * * [simplify]: Extracting #0: cost 1 inf + 0 502.994 * * [simplify]: Extracting #1: cost 3 inf + 0 502.994 * * [simplify]: Extracting #2: cost 6 inf + 0 502.994 * * [simplify]: Extracting #3: cost 54 inf + 0 502.995 * * [simplify]: Extracting #4: cost 119 inf + 0 502.995 * * [simplify]: Extracting #5: cost 166 inf + 44 502.996 * * [simplify]: Extracting #6: cost 234 inf + 1400 502.997 * * [simplify]: Extracting #7: cost 205 inf + 7123 503.001 * * [simplify]: Extracting #8: cost 146 inf + 23699 503.008 * * [simplify]: Extracting #9: cost 84 inf + 46775 503.018 * * [simplify]: Extracting #10: cost 47 inf + 60386 503.034 * * [simplify]: Extracting #11: cost 7 inf + 93560 503.052 * * [simplify]: Extracting #12: cost 1 inf + 100790 503.072 * * [simplify]: Extracting #13: cost 0 inf + 102615 503.092 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 503.092 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 503.093 * * * * [progress]: [ 1590 / 5906 ] simplifiying candidate # 503.093 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 503.093 * * [simplify]: iters left: 6 (52 enodes) 503.106 * * [simplify]: iters left: 5 (255 enodes) 503.163 * * [simplify]: Extracting #0: cost 1 inf + 0 503.163 * * [simplify]: Extracting #1: cost 3 inf + 0 503.163 * * [simplify]: Extracting #2: cost 10 inf + 0 503.164 * * [simplify]: Extracting #3: cost 74 inf + 0 503.164 * * [simplify]: Extracting #4: cost 137 inf + 1 503.164 * * [simplify]: Extracting #5: cost 186 inf + 248 503.165 * * [simplify]: Extracting #6: cost 251 inf + 2618 503.168 * * [simplify]: Extracting #7: cost 199 inf + 13464 503.172 * * [simplify]: Extracting #8: cost 152 inf + 27966 503.180 * * [simplify]: Extracting #9: cost 99 inf + 49024 503.191 * * [simplify]: Extracting #10: cost 54 inf + 65072 503.204 * * [simplify]: Extracting #11: cost 30 inf + 80592 503.224 * * [simplify]: Extracting #12: cost 3 inf + 111627 503.248 * * [simplify]: Extracting #13: cost 0 inf + 117662 503.270 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 503.270 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 503.271 * * * * [progress]: [ 1591 / 5906 ] simplifiying candidate # 503.271 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 503.272 * * [simplify]: iters left: 6 (47 enodes) 503.283 * * [simplify]: iters left: 5 (227 enodes) 503.334 * * [simplify]: Extracting #0: cost 1 inf + 0 503.334 * * [simplify]: Extracting #1: cost 3 inf + 0 503.334 * * [simplify]: Extracting #2: cost 10 inf + 0 503.334 * * [simplify]: Extracting #3: cost 66 inf + 0 503.334 * * [simplify]: Extracting #4: cost 117 inf + 44 503.335 * * [simplify]: Extracting #5: cost 151 inf + 984 503.336 * * [simplify]: Extracting #6: cost 221 inf + 3017 503.338 * * [simplify]: Extracting #7: cost 194 inf + 8535 503.342 * * [simplify]: Extracting #8: cost 117 inf + 29863 503.352 * * [simplify]: Extracting #9: cost 43 inf + 61258 503.368 * * [simplify]: Extracting #10: cost 7 inf + 90099 503.387 * * [simplify]: Extracting #11: cost 1 inf + 96916 503.406 * * [simplify]: Extracting #12: cost 0 inf + 98341 503.426 * * [simplify]: Extracting #13: cost 0 inf + 97981 503.450 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 503.450 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 503.451 * * * * [progress]: [ 1592 / 5906 ] simplifiying candidate # 503.451 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 503.451 * * [simplify]: iters left: 6 (52 enodes) 503.465 * * [simplify]: iters left: 5 (255 enodes) 503.522 * * [simplify]: Extracting #0: cost 1 inf + 0 503.522 * * [simplify]: Extracting #1: cost 3 inf + 0 503.522 * * [simplify]: Extracting #2: cost 10 inf + 0 503.522 * * [simplify]: Extracting #3: cost 74 inf + 0 503.522 * * [simplify]: Extracting #4: cost 137 inf + 1 503.523 * * [simplify]: Extracting #5: cost 186 inf + 248 503.523 * * [simplify]: Extracting #6: cost 254 inf + 2092 503.526 * * [simplify]: Extracting #7: cost 207 inf + 10842 503.530 * * [simplify]: Extracting #8: cost 156 inf + 26102 503.537 * * [simplify]: Extracting #9: cost 98 inf + 50289 503.548 * * [simplify]: Extracting #10: cost 54 inf + 66032 503.561 * * [simplify]: Extracting #11: cost 30 inf + 81552 503.581 * * [simplify]: Extracting #12: cost 3 inf + 112587 503.606 * * [simplify]: Extracting #13: cost 0 inf + 118622 503.629 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 503.629 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 503.630 * * * * [progress]: [ 1593 / 5906 ] simplifiying candidate # 503.630 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 503.630 * * [simplify]: iters left: 6 (47 enodes) 503.642 * * [simplify]: iters left: 5 (227 enodes) 503.692 * * [simplify]: Extracting #0: cost 1 inf + 0 503.692 * * [simplify]: Extracting #1: cost 3 inf + 0 503.692 * * [simplify]: Extracting #2: cost 10 inf + 0 503.692 * * [simplify]: Extracting #3: cost 65 inf + 0 503.692 * * [simplify]: Extracting #4: cost 116 inf + 86 503.693 * * [simplify]: Extracting #5: cost 147 inf + 1472 503.693 * * [simplify]: Extracting #6: cost 219 inf + 3181 503.695 * * [simplify]: Extracting #7: cost 191 inf + 8944 503.700 * * [simplify]: Extracting #8: cost 113 inf + 31546 503.710 * * [simplify]: Extracting #9: cost 47 inf + 60507 503.725 * * [simplify]: Extracting #10: cost 7 inf + 90139 503.744 * * [simplify]: Extracting #11: cost 1 inf + 96756 503.767 * * [simplify]: Extracting #12: cost 0 inf + 98461 503.785 * * [simplify]: Extracting #13: cost 0 inf + 98381 503.804 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 503.805 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 503.805 * * * * [progress]: [ 1594 / 5906 ] simplifiying candidate # 503.805 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 503.806 * * [simplify]: iters left: 6 (52 enodes) 503.819 * * [simplify]: iters left: 5 (255 enodes) 503.876 * * [simplify]: Extracting #0: cost 1 inf + 0 503.876 * * [simplify]: Extracting #1: cost 3 inf + 0 503.877 * * [simplify]: Extracting #2: cost 6 inf + 0 503.877 * * [simplify]: Extracting #3: cost 56 inf + 0 503.877 * * [simplify]: Extracting #4: cost 130 inf + 0 503.877 * * [simplify]: Extracting #5: cost 207 inf + 0 503.878 * * [simplify]: Extracting #6: cost 301 inf + 257 503.879 * * [simplify]: Extracting #7: cost 256 inf + 7085 503.884 * * [simplify]: Extracting #8: cost 163 inf + 30670 503.893 * * [simplify]: Extracting #9: cost 97 inf + 55711 503.904 * * [simplify]: Extracting #10: cost 57 inf + 69360 503.918 * * [simplify]: Extracting #11: cost 38 inf + 81675 503.940 * * [simplify]: Extracting #12: cost 11 inf + 111790 503.964 * * [simplify]: Extracting #13: cost 0 inf + 127985 503.989 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) 503.989 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 503.990 * * * * [progress]: [ 1595 / 5906 ] simplifiying candidate # 503.990 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 503.991 * * [simplify]: iters left: 6 (53 enodes) 504.004 * * [simplify]: iters left: 5 (264 enodes) 504.064 * * [simplify]: Extracting #0: cost 1 inf + 0 504.064 * * [simplify]: Extracting #1: cost 3 inf + 0 504.064 * * [simplify]: Extracting #2: cost 6 inf + 0 504.064 * * [simplify]: Extracting #3: cost 60 inf + 0 504.064 * * [simplify]: Extracting #4: cost 153 inf + 0 504.065 * * [simplify]: Extracting #5: cost 220 inf + 86 504.066 * * [simplify]: Extracting #6: cost 275 inf + 4683 504.069 * * [simplify]: Extracting #7: cost 241 inf + 10719 504.073 * * [simplify]: Extracting #8: cost 170 inf + 23789 504.082 * * [simplify]: Extracting #9: cost 100 inf + 54752 504.097 * * [simplify]: Extracting #10: cost 45 inf + 80317 504.118 * * [simplify]: Extracting #11: cost 7 inf + 119467 504.143 * * [simplify]: Extracting #12: cost 0 inf + 128602 504.169 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 504.169 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 504.170 * * * * [progress]: [ 1596 / 5906 ] simplifiying candidate # 504.170 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 504.170 * * [simplify]: iters left: 6 (53 enodes) 504.185 * * [simplify]: iters left: 5 (264 enodes) 504.242 * * [simplify]: Extracting #0: cost 1 inf + 0 504.242 * * [simplify]: Extracting #1: cost 3 inf + 0 504.242 * * [simplify]: Extracting #2: cost 6 inf + 0 504.242 * * [simplify]: Extracting #3: cost 62 inf + 0 504.242 * * [simplify]: Extracting #4: cost 151 inf + 0 504.243 * * [simplify]: Extracting #5: cost 216 inf + 86 504.244 * * [simplify]: Extracting #6: cost 273 inf + 4558 504.247 * * [simplify]: Extracting #7: cost 237 inf + 11156 504.250 * * [simplify]: Extracting #8: cost 184 inf + 20583 504.259 * * [simplify]: Extracting #9: cost 110 inf + 47861 504.272 * * [simplify]: Extracting #10: cost 50 inf + 75407 504.291 * * [simplify]: Extracting #11: cost 12 inf + 113774 504.315 * * [simplify]: Extracting #12: cost 0 inf + 127234 504.339 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 504.339 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 504.340 * * * * [progress]: [ 1597 / 5906 ] simplifiying candidate # 504.340 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 504.340 * * [simplify]: iters left: 6 (47 enodes) 504.354 * * [simplify]: iters left: 5 (228 enodes) 504.404 * * [simplify]: Extracting #0: cost 1 inf + 0 504.404 * * [simplify]: Extracting #1: cost 3 inf + 0 504.404 * * [simplify]: Extracting #2: cost 6 inf + 0 504.404 * * [simplify]: Extracting #3: cost 54 inf + 0 504.404 * * [simplify]: Extracting #4: cost 119 inf + 0 504.405 * * [simplify]: Extracting #5: cost 165 inf + 86 504.405 * * [simplify]: Extracting #6: cost 243 inf + 1152 504.407 * * [simplify]: Extracting #7: cost 221 inf + 5046 504.410 * * [simplify]: Extracting #8: cost 165 inf + 18129 504.417 * * [simplify]: Extracting #9: cost 76 inf + 46118 504.431 * * [simplify]: Extracting #10: cost 30 inf + 73360 504.448 * * [simplify]: Extracting #11: cost 4 inf + 99557 504.469 * * [simplify]: Extracting #12: cost 1 inf + 104352 504.489 * * [simplify]: Extracting #13: cost 0 inf + 106217 504.510 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 504.510 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 504.511 * * * * [progress]: [ 1598 / 5906 ] simplifiying candidate # 504.511 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 504.511 * * [simplify]: iters left: 6 (52 enodes) 504.526 * * [simplify]: iters left: 5 (256 enodes) 504.581 * * [simplify]: Extracting #0: cost 1 inf + 0 504.581 * * [simplify]: Extracting #1: cost 3 inf + 0 504.582 * * [simplify]: Extracting #2: cost 10 inf + 0 504.582 * * [simplify]: Extracting #3: cost 74 inf + 0 504.582 * * [simplify]: Extracting #4: cost 136 inf + 42 504.582 * * [simplify]: Extracting #5: cost 186 inf + 248 504.583 * * [simplify]: Extracting #6: cost 264 inf + 2202 504.585 * * [simplify]: Extracting #7: cost 231 inf + 7476 504.588 * * [simplify]: Extracting #8: cost 174 inf + 20159 504.597 * * [simplify]: Extracting #9: cost 101 inf + 47386 504.608 * * [simplify]: Extracting #10: cost 55 inf + 66910 504.621 * * [simplify]: Extracting #11: cost 30 inf + 84514 504.642 * * [simplify]: Extracting #12: cost 5 inf + 112739 504.666 * * [simplify]: Extracting #13: cost 1 inf + 119119 504.690 * * [simplify]: Extracting #14: cost 0 inf + 121184 504.716 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 504.716 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 504.717 * * * * [progress]: [ 1599 / 5906 ] simplifiying candidate # 504.717 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 504.718 * * [simplify]: iters left: 6 (47 enodes) 504.730 * * [simplify]: iters left: 5 (228 enodes) 504.779 * * [simplify]: Extracting #0: cost 1 inf + 0 504.779 * * [simplify]: Extracting #1: cost 3 inf + 0 504.779 * * [simplify]: Extracting #2: cost 10 inf + 0 504.779 * * [simplify]: Extracting #3: cost 66 inf + 0 504.779 * * [simplify]: Extracting #4: cost 117 inf + 44 504.780 * * [simplify]: Extracting #5: cost 149 inf + 1268 504.781 * * [simplify]: Extracting #6: cost 228 inf + 2932 504.782 * * [simplify]: Extracting #7: cost 220 inf + 4639 504.785 * * [simplify]: Extracting #8: cost 154 inf + 19557 504.793 * * [simplify]: Extracting #9: cost 65 inf + 52488 504.809 * * [simplify]: Extracting #10: cost 9 inf + 92387 504.828 * * [simplify]: Extracting #11: cost 1 inf + 98598 504.848 * * [simplify]: Extracting #12: cost 0 inf + 100383 504.869 * * [simplify]: Extracting #13: cost 0 inf + 100303 504.889 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 504.889 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 504.889 * * * * [progress]: [ 1600 / 5906 ] simplifiying candidate # 504.889 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 504.890 * * [simplify]: iters left: 6 (52 enodes) 504.903 * * [simplify]: iters left: 5 (256 enodes) 504.960 * * [simplify]: Extracting #0: cost 1 inf + 0 504.960 * * [simplify]: Extracting #1: cost 3 inf + 0 504.960 * * [simplify]: Extracting #2: cost 10 inf + 0 504.960 * * [simplify]: Extracting #3: cost 74 inf + 0 504.961 * * [simplify]: Extracting #4: cost 137 inf + 1 504.961 * * [simplify]: Extracting #5: cost 186 inf + 248 504.962 * * [simplify]: Extracting #6: cost 268 inf + 1394 504.963 * * [simplify]: Extracting #7: cost 237 inf + 6104 504.967 * * [simplify]: Extracting #8: cost 175 inf + 19395 504.974 * * [simplify]: Extracting #9: cost 101 inf + 47706 504.984 * * [simplify]: Extracting #10: cost 54 inf + 68215 504.998 * * [simplify]: Extracting #11: cost 30 inf + 85474 505.019 * * [simplify]: Extracting #12: cost 5 inf + 113699 505.046 * * [simplify]: Extracting #13: cost 1 inf + 120079 505.070 * * [simplify]: Extracting #14: cost 0 inf + 122144 505.094 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 505.094 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 505.095 * * * * [progress]: [ 1601 / 5906 ] simplifiying candidate # 505.095 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 505.096 * * [simplify]: iters left: 6 (47 enodes) 505.107 * * [simplify]: iters left: 5 (228 enodes) 505.156 * * [simplify]: Extracting #0: cost 1 inf + 0 505.156 * * [simplify]: Extracting #1: cost 3 inf + 0 505.156 * * [simplify]: Extracting #2: cost 10 inf + 0 505.156 * * [simplify]: Extracting #3: cost 65 inf + 0 505.157 * * [simplify]: Extracting #4: cost 117 inf + 44 505.157 * * [simplify]: Extracting #5: cost 153 inf + 740 505.158 * * [simplify]: Extracting #6: cost 229 inf + 2770 505.159 * * [simplify]: Extracting #7: cost 221 inf + 4437 505.162 * * [simplify]: Extracting #8: cost 158 inf + 18833 505.170 * * [simplify]: Extracting #9: cost 66 inf + 51223 505.186 * * [simplify]: Extracting #10: cost 9 inf + 92787 505.207 * * [simplify]: Extracting #11: cost 1 inf + 98998 505.227 * * [simplify]: Extracting #12: cost 0 inf + 100783 505.247 * * [simplify]: Extracting #13: cost 0 inf + 100703 505.267 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 505.267 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 505.267 * * * * [progress]: [ 1602 / 5906 ] simplifiying candidate # 505.268 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 505.268 * * [simplify]: iters left: 6 (52 enodes) 505.281 * * [simplify]: iters left: 5 (255 enodes) 505.340 * * [simplify]: Extracting #0: cost 1 inf + 0 505.340 * * [simplify]: Extracting #1: cost 3 inf + 0 505.340 * * [simplify]: Extracting #2: cost 6 inf + 0 505.340 * * [simplify]: Extracting #3: cost 56 inf + 0 505.341 * * [simplify]: Extracting #4: cost 130 inf + 0 505.341 * * [simplify]: Extracting #5: cost 207 inf + 0 505.342 * * [simplify]: Extracting #6: cost 294 inf + 384 505.344 * * [simplify]: Extracting #7: cost 226 inf + 14518 505.351 * * [simplify]: Extracting #8: cost 135 inf + 41301 505.360 * * [simplify]: Extracting #9: cost 93 inf + 55489 505.373 * * [simplify]: Extracting #10: cost 57 inf + 67040 505.387 * * [simplify]: Extracting #11: cost 37 inf + 79900 505.407 * * [simplify]: Extracting #12: cost 4 inf + 117765 505.431 * * [simplify]: Extracting #13: cost 0 inf + 125025 505.455 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) 505.455 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 505.455 * * * * [progress]: [ 1603 / 5906 ] simplifiying candidate # 505.455 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 505.456 * * [simplify]: iters left: 6 (53 enodes) 505.471 * * [simplify]: iters left: 5 (264 enodes) 505.529 * * [simplify]: Extracting #0: cost 1 inf + 0 505.529 * * [simplify]: Extracting #1: cost 3 inf + 0 505.529 * * [simplify]: Extracting #2: cost 6 inf + 0 505.529 * * [simplify]: Extracting #3: cost 60 inf + 0 505.529 * * [simplify]: Extracting #4: cost 153 inf + 0 505.530 * * [simplify]: Extracting #5: cost 220 inf + 86 505.531 * * [simplify]: Extracting #6: cost 262 inf + 5421 505.534 * * [simplify]: Extracting #7: cost 201 inf + 17678 505.544 * * [simplify]: Extracting #8: cost 133 inf + 43584 505.553 * * [simplify]: Extracting #9: cost 94 inf + 58045 505.566 * * [simplify]: Extracting #10: cost 47 inf + 76107 505.587 * * [simplify]: Extracting #11: cost 3 inf + 123167 505.611 * * [simplify]: Extracting #12: cost 0 inf + 126482 505.636 * * [simplify]: Extracting #13: cost 0 inf + 126402 505.660 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 505.661 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 505.661 * * * * [progress]: [ 1604 / 5906 ] simplifiying candidate # 505.661 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 505.662 * * [simplify]: iters left: 6 (53 enodes) 505.675 * * [simplify]: iters left: 5 (264 enodes) 505.736 * * [simplify]: Extracting #0: cost 1 inf + 0 505.736 * * [simplify]: Extracting #1: cost 3 inf + 0 505.736 * * [simplify]: Extracting #2: cost 6 inf + 0 505.737 * * [simplify]: Extracting #3: cost 62 inf + 0 505.737 * * [simplify]: Extracting #4: cost 151 inf + 0 505.737 * * [simplify]: Extracting #5: cost 216 inf + 86 505.739 * * [simplify]: Extracting #6: cost 260 inf + 5176 505.743 * * [simplify]: Extracting #7: cost 180 inf + 27815 505.750 * * [simplify]: Extracting #8: cost 137 inf + 43593 505.760 * * [simplify]: Extracting #9: cost 94 inf + 58259 505.772 * * [simplify]: Extracting #10: cost 47 inf + 76259 505.794 * * [simplify]: Extracting #11: cost 11 inf + 111919 505.817 * * [simplify]: Extracting #12: cost 0 inf + 125434 505.841 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 505.841 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 505.841 * * * * [progress]: [ 1605 / 5906 ] simplifiying candidate # 505.842 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 505.842 * * [simplify]: iters left: 6 (47 enodes) 505.854 * * [simplify]: iters left: 5 (228 enodes) 505.904 * * [simplify]: Extracting #0: cost 1 inf + 0 505.904 * * [simplify]: Extracting #1: cost 3 inf + 0 505.904 * * [simplify]: Extracting #2: cost 6 inf + 0 505.904 * * [simplify]: Extracting #3: cost 54 inf + 0 505.904 * * [simplify]: Extracting #4: cost 119 inf + 0 505.905 * * [simplify]: Extracting #5: cost 165 inf + 86 505.905 * * [simplify]: Extracting #6: cost 236 inf + 1319 505.907 * * [simplify]: Extracting #7: cost 204 inf + 7245 505.911 * * [simplify]: Extracting #8: cost 123 inf + 29122 505.920 * * [simplify]: Extracting #9: cost 52 inf + 58576 505.932 * * [simplify]: Extracting #10: cost 31 inf + 69415 505.950 * * [simplify]: Extracting #11: cost 4 inf + 96397 505.971 * * [simplify]: Extracting #12: cost 1 inf + 101112 505.990 * * [simplify]: Extracting #13: cost 0 inf + 102937 506.010 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 506.010 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 506.010 * * * * [progress]: [ 1606 / 5906 ] simplifiying candidate # 506.011 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 506.011 * * [simplify]: iters left: 6 (52 enodes) 506.024 * * [simplify]: iters left: 5 (256 enodes) 506.081 * * [simplify]: Extracting #0: cost 1 inf + 0 506.081 * * [simplify]: Extracting #1: cost 3 inf + 0 506.081 * * [simplify]: Extracting #2: cost 10 inf + 0 506.081 * * [simplify]: Extracting #3: cost 74 inf + 0 506.081 * * [simplify]: Extracting #4: cost 136 inf + 42 506.082 * * [simplify]: Extracting #5: cost 186 inf + 248 506.083 * * [simplify]: Extracting #6: cost 251 inf + 2861 506.085 * * [simplify]: Extracting #7: cost 193 inf + 15358 506.091 * * [simplify]: Extracting #8: cost 138 inf + 34054 506.099 * * [simplify]: Extracting #9: cost 94 inf + 51368 506.110 * * [simplify]: Extracting #10: cost 54 inf + 65514 506.124 * * [simplify]: Extracting #11: cost 29 inf + 81619 506.144 * * [simplify]: Extracting #12: cost 5 inf + 109499 506.166 * * [simplify]: Extracting #13: cost 1 inf + 115799 506.189 * * [simplify]: Extracting #14: cost 0 inf + 117824 506.212 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 506.212 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 506.213 * * * * [progress]: [ 1607 / 5906 ] simplifiying candidate # 506.213 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 506.213 * * [simplify]: iters left: 6 (47 enodes) 506.227 * * [simplify]: iters left: 5 (228 enodes) 506.274 * * [simplify]: Extracting #0: cost 1 inf + 0 506.274 * * [simplify]: Extracting #1: cost 3 inf + 0 506.275 * * [simplify]: Extracting #2: cost 10 inf + 0 506.275 * * [simplify]: Extracting #3: cost 66 inf + 0 506.275 * * [simplify]: Extracting #4: cost 117 inf + 44 506.275 * * [simplify]: Extracting #5: cost 150 inf + 1106 506.276 * * [simplify]: Extracting #6: cost 222 inf + 3017 506.278 * * [simplify]: Extracting #7: cost 196 inf + 8007 506.283 * * [simplify]: Extracting #8: cost 118 inf + 29645 506.293 * * [simplify]: Extracting #9: cost 54 inf + 56275 506.310 * * [simplify]: Extracting #10: cost 10 inf + 88106 506.327 * * [simplify]: Extracting #11: cost 1 inf + 96518 506.346 * * [simplify]: Extracting #12: cost 0 inf + 98303 506.365 * * [simplify]: Extracting #13: cost 0 inf + 98223 506.384 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 506.384 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 506.384 * * * * [progress]: [ 1608 / 5906 ] simplifiying candidate # 506.385 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 506.385 * * [simplify]: iters left: 6 (52 enodes) 506.399 * * [simplify]: iters left: 5 (256 enodes) 506.455 * * [simplify]: Extracting #0: cost 1 inf + 0 506.455 * * [simplify]: Extracting #1: cost 3 inf + 0 506.455 * * [simplify]: Extracting #2: cost 10 inf + 0 506.455 * * [simplify]: Extracting #3: cost 74 inf + 0 506.455 * * [simplify]: Extracting #4: cost 137 inf + 1 506.456 * * [simplify]: Extracting #5: cost 186 inf + 248 506.457 * * [simplify]: Extracting #6: cost 255 inf + 2053 506.459 * * [simplify]: Extracting #7: cost 201 inf + 13048 506.466 * * [simplify]: Extracting #8: cost 142 inf + 31838 506.474 * * [simplify]: Extracting #9: cost 94 inf + 52248 506.485 * * [simplify]: Extracting #10: cost 54 inf + 66474 506.498 * * [simplify]: Extracting #11: cost 29 inf + 82579 506.518 * * [simplify]: Extracting #12: cost 5 inf + 110459 506.540 * * [simplify]: Extracting #13: cost 1 inf + 116759 506.564 * * [simplify]: Extracting #14: cost 0 inf + 118784 506.587 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 506.587 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 506.588 * * * * [progress]: [ 1609 / 5906 ] simplifiying candidate # 506.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 506.589 * * [simplify]: iters left: 6 (47 enodes) 506.601 * * [simplify]: iters left: 5 (228 enodes) 506.652 * * [simplify]: Extracting #0: cost 1 inf + 0 506.652 * * [simplify]: Extracting #1: cost 3 inf + 0 506.652 * * [simplify]: Extracting #2: cost 10 inf + 0 506.652 * * [simplify]: Extracting #3: cost 65 inf + 0 506.652 * * [simplify]: Extracting #4: cost 117 inf + 44 506.652 * * [simplify]: Extracting #5: cost 153 inf + 740 506.653 * * [simplify]: Extracting #6: cost 223 inf + 2855 506.655 * * [simplify]: Extracting #7: cost 197 inf + 7927 506.659 * * [simplify]: Extracting #8: cost 114 inf + 31648 506.669 * * [simplify]: Extracting #9: cost 49 inf + 60058 506.684 * * [simplify]: Extracting #10: cost 8 inf + 91782 506.703 * * [simplify]: Extracting #11: cost 1 inf + 96918 506.722 * * [simplify]: Extracting #12: cost 0 inf + 98703 506.742 * * [simplify]: Extracting #13: cost 0 inf + 98623 506.761 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 506.761 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 506.761 * * * * [progress]: [ 1610 / 5906 ] simplifiying candidate # 506.762 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 506.762 * * [simplify]: iters left: 6 (51 enodes) 506.775 * * [simplify]: iters left: 5 (256 enodes) 506.836 * * [simplify]: Extracting #0: cost 1 inf + 0 506.836 * * [simplify]: Extracting #1: cost 3 inf + 0 506.836 * * [simplify]: Extracting #2: cost 6 inf + 0 506.837 * * [simplify]: Extracting #3: cost 56 inf + 0 506.837 * * [simplify]: Extracting #4: cost 130 inf + 0 506.837 * * [simplify]: Extracting #5: cost 213 inf + 0 506.838 * * [simplify]: Extracting #6: cost 312 inf + 127 506.839 * * [simplify]: Extracting #7: cost 275 inf + 6513 506.843 * * [simplify]: Extracting #8: cost 191 inf + 20487 506.850 * * [simplify]: Extracting #9: cost 106 inf + 46778 506.861 * * [simplify]: Extracting #10: cost 59 inf + 68462 506.881 * * [simplify]: Extracting #11: cost 12 inf + 111182 506.909 * * [simplify]: Extracting #12: cost 1 inf + 125697 506.934 * * [simplify]: Extracting #13: cost 0 inf + 127722 506.960 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 506.960 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 506.961 * * * * [progress]: [ 1611 / 5906 ] simplifiying candidate # 506.961 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 506.961 * * [simplify]: iters left: 6 (52 enodes) 506.975 * * [simplify]: iters left: 5 (265 enodes) 507.036 * * [simplify]: Extracting #0: cost 1 inf + 0 507.036 * * [simplify]: Extracting #1: cost 3 inf + 0 507.036 * * [simplify]: Extracting #2: cost 6 inf + 0 507.037 * * [simplify]: Extracting #3: cost 60 inf + 0 507.037 * * [simplify]: Extracting #4: cost 153 inf + 0 507.037 * * [simplify]: Extracting #5: cost 224 inf + 169 507.039 * * [simplify]: Extracting #6: cost 285 inf + 5126 507.042 * * [simplify]: Extracting #7: cost 245 inf + 12901 507.047 * * [simplify]: Extracting #8: cost 150 inf + 33576 507.062 * * [simplify]: Extracting #9: cost 58 inf + 75917 507.083 * * [simplify]: Extracting #10: cost 17 inf + 113817 507.110 * * [simplify]: Extracting #11: cost 0 inf + 132859 507.137 * * [simplify]: Extracting #12: cost 0 inf + 132259 507.170 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 507.170 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 507.170 * * * * [progress]: [ 1612 / 5906 ] simplifiying candidate # 507.171 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 507.171 * * [simplify]: iters left: 6 (52 enodes) 507.185 * * [simplify]: iters left: 5 (265 enodes) 507.248 * * [simplify]: Extracting #0: cost 1 inf + 0 507.248 * * [simplify]: Extracting #1: cost 3 inf + 0 507.248 * * [simplify]: Extracting #2: cost 6 inf + 0 507.248 * * [simplify]: Extracting #3: cost 62 inf + 0 507.248 * * [simplify]: Extracting #4: cost 151 inf + 0 507.249 * * [simplify]: Extracting #5: cost 221 inf + 127 507.250 * * [simplify]: Extracting #6: cost 287 inf + 4192 507.253 * * [simplify]: Extracting #7: cost 239 inf + 13115 507.259 * * [simplify]: Extracting #8: cost 131 inf + 38883 507.270 * * [simplify]: Extracting #9: cost 64 inf + 68661 507.289 * * [simplify]: Extracting #10: cost 17 inf + 107428 507.314 * * [simplify]: Extracting #11: cost 0 inf + 127291 507.341 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 507.341 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 507.342 * * * * [progress]: [ 1613 / 5906 ] simplifiying candidate # 507.342 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 507.342 * * [simplify]: iters left: 6 (46 enodes) 507.354 * * [simplify]: iters left: 5 (229 enodes) 507.404 * * [simplify]: Extracting #0: cost 1 inf + 0 507.404 * * [simplify]: Extracting #1: cost 3 inf + 0 507.404 * * [simplify]: Extracting #2: cost 6 inf + 0 507.404 * * [simplify]: Extracting #3: cost 54 inf + 0 507.404 * * [simplify]: Extracting #4: cost 119 inf + 0 507.404 * * [simplify]: Extracting #5: cost 169 inf + 167 507.405 * * [simplify]: Extracting #6: cost 255 inf + 909 507.408 * * [simplify]: Extracting #7: cost 243 inf + 3710 507.412 * * [simplify]: Extracting #8: cost 144 inf + 22362 507.420 * * [simplify]: Extracting #9: cost 71 inf + 51378 507.433 * * [simplify]: Extracting #10: cost 29 inf + 75718 507.451 * * [simplify]: Extracting #11: cost 4 inf + 100050 507.473 * * [simplify]: Extracting #12: cost 0 inf + 105710 507.495 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 507.495 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 507.495 * * * * [progress]: [ 1614 / 5906 ] simplifiying candidate # 507.496 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 507.496 * * [simplify]: iters left: 6 (51 enodes) 507.510 * * [simplify]: iters left: 5 (257 enodes) 507.567 * * [simplify]: Extracting #0: cost 1 inf + 0 507.567 * * [simplify]: Extracting #1: cost 3 inf + 0 507.567 * * [simplify]: Extracting #2: cost 10 inf + 0 507.567 * * [simplify]: Extracting #3: cost 74 inf + 0 507.568 * * [simplify]: Extracting #4: cost 136 inf + 42 507.568 * * [simplify]: Extracting #5: cost 192 inf + 249 507.569 * * [simplify]: Extracting #6: cost 278 inf + 1638 507.570 * * [simplify]: Extracting #7: cost 254 inf + 7263 507.577 * * [simplify]: Extracting #8: cost 139 inf + 34912 507.589 * * [simplify]: Extracting #9: cost 55 inf + 71253 507.609 * * [simplify]: Extracting #10: cost 5 inf + 112396 507.633 * * [simplify]: Extracting #11: cost 1 inf + 119336 507.658 * * [simplify]: Extracting #12: cost 0 inf + 121361 507.684 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 507.684 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 507.685 * * * * [progress]: [ 1615 / 5906 ] simplifiying candidate # 507.685 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 507.685 * * [simplify]: iters left: 6 (46 enodes) 507.697 * * [simplify]: iters left: 5 (229 enodes) 507.746 * * [simplify]: Extracting #0: cost 1 inf + 0 507.746 * * [simplify]: Extracting #1: cost 3 inf + 0 507.746 * * [simplify]: Extracting #2: cost 10 inf + 0 507.746 * * [simplify]: Extracting #3: cost 66 inf + 0 507.747 * * [simplify]: Extracting #4: cost 116 inf + 86 507.747 * * [simplify]: Extracting #5: cost 153 inf + 1472 507.750 * * [simplify]: Extracting #6: cost 240 inf + 2932 507.751 * * [simplify]: Extracting #7: cost 239 inf + 4153 507.755 * * [simplify]: Extracting #8: cost 137 inf + 25818 507.766 * * [simplify]: Extracting #9: cost 56 inf + 61830 507.784 * * [simplify]: Extracting #10: cost 18 inf + 88658 507.805 * * [simplify]: Extracting #11: cost 0 inf + 102440 507.826 * * [simplify]: Extracting #12: cost 0 inf + 102200 507.847 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 507.847 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 507.848 * * * * [progress]: [ 1616 / 5906 ] simplifiying candidate # 507.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 507.849 * * [simplify]: iters left: 6 (51 enodes) 507.862 * * [simplify]: iters left: 5 (257 enodes) 507.919 * * [simplify]: Extracting #0: cost 1 inf + 0 507.919 * * [simplify]: Extracting #1: cost 3 inf + 0 507.919 * * [simplify]: Extracting #2: cost 10 inf + 0 507.919 * * [simplify]: Extracting #3: cost 74 inf + 0 507.919 * * [simplify]: Extracting #4: cost 136 inf + 42 507.922 * * [simplify]: Extracting #5: cost 192 inf + 248 507.923 * * [simplify]: Extracting #6: cost 278 inf + 1636 507.924 * * [simplify]: Extracting #7: cost 254 inf + 6941 507.929 * * [simplify]: Extracting #8: cost 139 inf + 35377 507.940 * * [simplify]: Extracting #9: cost 56 inf + 70787 507.960 * * [simplify]: Extracting #10: cost 7 inf + 111626 507.985 * * [simplify]: Extracting #11: cost 1 inf + 120296 508.010 * * [simplify]: Extracting #12: cost 0 inf + 122321 508.035 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 508.036 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 508.036 * * * * [progress]: [ 1617 / 5906 ] simplifiying candidate # 508.036 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 508.037 * * [simplify]: iters left: 6 (46 enodes) 508.049 * * [simplify]: iters left: 5 (229 enodes) 508.102 * * [simplify]: Extracting #0: cost 1 inf + 0 508.103 * * [simplify]: Extracting #1: cost 3 inf + 0 508.103 * * [simplify]: Extracting #2: cost 10 inf + 0 508.103 * * [simplify]: Extracting #3: cost 65 inf + 0 508.103 * * [simplify]: Extracting #4: cost 117 inf + 44 508.103 * * [simplify]: Extracting #5: cost 157 inf + 904 508.104 * * [simplify]: Extracting #6: cost 240 inf + 2932 508.106 * * [simplify]: Extracting #7: cost 239 inf + 4274 508.109 * * [simplify]: Extracting #8: cost 138 inf + 25433 508.120 * * [simplify]: Extracting #9: cost 55 inf + 63154 508.137 * * [simplify]: Extracting #10: cost 17 inf + 89723 508.158 * * [simplify]: Extracting #11: cost 0 inf + 102840 508.179 * * [simplify]: Extracting #12: cost 0 inf + 102600 508.201 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 508.201 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 508.202 * * * * [progress]: [ 1618 / 5906 ] simplifiying candidate # 508.202 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 508.202 * * [simplify]: iters left: 6 (47 enodes) 508.215 * * [simplify]: iters left: 5 (232 enodes) 508.265 * * [simplify]: Extracting #0: cost 1 inf + 0 508.265 * * [simplify]: Extracting #1: cost 3 inf + 0 508.265 * * [simplify]: Extracting #2: cost 6 inf + 0 508.265 * * [simplify]: Extracting #3: cost 54 inf + 0 508.266 * * [simplify]: Extracting #4: cost 120 inf + 0 508.266 * * [simplify]: Extracting #5: cost 192 inf + 0 508.267 * * [simplify]: Extracting #6: cost 263 inf + 250 508.270 * * [simplify]: Extracting #7: cost 228 inf + 5051 508.273 * * [simplify]: Extracting #8: cost 146 inf + 20889 508.279 * * [simplify]: Extracting #9: cost 90 inf + 41118 508.289 * * [simplify]: Extracting #10: cost 45 inf + 62100 508.305 * * [simplify]: Extracting #11: cost 11 inf + 92590 508.326 * * [simplify]: Extracting #12: cost 0 inf + 105225 508.347 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 508.347 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 508.347 * * * * [progress]: [ 1619 / 5906 ] simplifiying candidate # 508.348 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 508.348 * * [simplify]: iters left: 6 (48 enodes) 508.362 * * [simplify]: iters left: 5 (241 enodes) 508.417 * * [simplify]: Extracting #0: cost 1 inf + 0 508.417 * * [simplify]: Extracting #1: cost 3 inf + 0 508.417 * * [simplify]: Extracting #2: cost 6 inf + 0 508.417 * * [simplify]: Extracting #3: cost 58 inf + 0 508.417 * * [simplify]: Extracting #4: cost 143 inf + 0 508.418 * * [simplify]: Extracting #5: cost 201 inf + 331 508.419 * * [simplify]: Extracting #6: cost 228 inf + 7222 508.422 * * [simplify]: Extracting #7: cost 191 inf + 13832 508.426 * * [simplify]: Extracting #8: cost 141 inf + 22707 508.433 * * [simplify]: Extracting #9: cost 103 inf + 37241 508.446 * * [simplify]: Extracting #10: cost 36 inf + 74249 508.464 * * [simplify]: Extracting #11: cost 1 inf + 105897 508.485 * * [simplify]: Extracting #12: cost 0 inf + 107282 508.506 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 508.506 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 508.506 * * * * [progress]: [ 1620 / 5906 ] simplifiying candidate # 508.507 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 508.507 * * [simplify]: iters left: 6 (48 enodes) 508.519 * * [simplify]: iters left: 5 (241 enodes) 508.573 * * [simplify]: Extracting #0: cost 1 inf + 0 508.573 * * [simplify]: Extracting #1: cost 3 inf + 0 508.573 * * [simplify]: Extracting #2: cost 6 inf + 0 508.573 * * [simplify]: Extracting #3: cost 60 inf + 0 508.574 * * [simplify]: Extracting #4: cost 141 inf + 0 508.574 * * [simplify]: Extracting #5: cost 197 inf + 252 508.575 * * [simplify]: Extracting #6: cost 235 inf + 5002 508.578 * * [simplify]: Extracting #7: cost 189 inf + 14200 508.582 * * [simplify]: Extracting #8: cost 138 inf + 23846 508.587 * * [simplify]: Extracting #9: cost 107 inf + 34356 508.599 * * [simplify]: Extracting #10: cost 53 inf + 60858 508.617 * * [simplify]: Extracting #11: cost 8 inf + 99914 508.638 * * [simplify]: Extracting #12: cost 0 inf + 107594 508.660 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 508.660 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 508.661 * * * * [progress]: [ 1621 / 5906 ] simplifiying candidate # 508.661 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 508.661 * * [simplify]: iters left: 6 (42 enodes) 508.672 * * [simplify]: iters left: 5 (205 enodes) 508.717 * * [simplify]: Extracting #0: cost 1 inf + 0 508.717 * * [simplify]: Extracting #1: cost 3 inf + 0 508.717 * * [simplify]: Extracting #2: cost 6 inf + 0 508.718 * * [simplify]: Extracting #3: cost 52 inf + 0 508.718 * * [simplify]: Extracting #4: cost 109 inf + 0 508.718 * * [simplify]: Extracting #5: cost 149 inf + 85 508.719 * * [simplify]: Extracting #6: cost 205 inf + 1272 508.720 * * [simplify]: Extracting #7: cost 190 inf + 4401 508.724 * * [simplify]: Extracting #8: cost 112 inf + 23947 508.735 * * [simplify]: Extracting #9: cost 44 inf + 55609 508.750 * * [simplify]: Extracting #10: cost 4 inf + 81650 508.767 * * [simplify]: Extracting #11: cost 0 inf + 84613 508.786 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 508.786 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 508.787 * * * * [progress]: [ 1622 / 5906 ] simplifiying candidate # 508.787 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 508.787 * * [simplify]: iters left: 6 (47 enodes) 508.799 * * [simplify]: iters left: 5 (233 enodes) 508.850 * * [simplify]: Extracting #0: cost 1 inf + 0 508.850 * * [simplify]: Extracting #1: cost 3 inf + 0 508.850 * * [simplify]: Extracting #2: cost 10 inf + 0 508.850 * * [simplify]: Extracting #3: cost 72 inf + 0 508.850 * * [simplify]: Extracting #4: cost 126 inf + 42 508.850 * * [simplify]: Extracting #5: cost 170 inf + 290 508.853 * * [simplify]: Extracting #6: cost 224 inf + 2968 508.855 * * [simplify]: Extracting #7: cost 198 inf + 7437 508.859 * * [simplify]: Extracting #8: cost 114 inf + 29091 508.870 * * [simplify]: Extracting #9: cost 37 inf + 67476 508.887 * * [simplify]: Extracting #10: cost 3 inf + 95629 508.906 * * [simplify]: Extracting #11: cost 0 inf + 99984 508.926 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 508.926 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 508.927 * * * * [progress]: [ 1623 / 5906 ] simplifiying candidate # 508.927 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 508.927 * * [simplify]: iters left: 6 (42 enodes) 508.938 * * [simplify]: iters left: 5 (205 enodes) 508.981 * * [simplify]: Extracting #0: cost 1 inf + 0 508.981 * * [simplify]: Extracting #1: cost 3 inf + 0 508.981 * * [simplify]: Extracting #2: cost 10 inf + 0 508.982 * * [simplify]: Extracting #3: cost 64 inf + 0 508.982 * * [simplify]: Extracting #4: cost 107 inf + 44 508.982 * * [simplify]: Extracting #5: cost 136 inf + 1024 508.983 * * [simplify]: Extracting #6: cost 192 inf + 2932 508.984 * * [simplify]: Extracting #7: cost 185 inf + 5126 508.988 * * [simplify]: Extracting #8: cost 107 inf + 23175 508.999 * * [simplify]: Extracting #9: cost 36 inf + 61305 509.016 * * [simplify]: Extracting #10: cost 2 inf + 81994 509.036 * * [simplify]: Extracting #11: cost 0 inf + 82863 509.052 * * [simplify]: Extracting #12: cost 0 inf + 82583 509.069 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 509.069 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 509.070 * * * * [progress]: [ 1624 / 5906 ] simplifiying candidate # 509.070 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 509.070 * * [simplify]: iters left: 6 (47 enodes) 509.082 * * [simplify]: iters left: 5 (233 enodes) 509.134 * * [simplify]: Extracting #0: cost 1 inf + 0 509.134 * * [simplify]: Extracting #1: cost 3 inf + 0 509.135 * * [simplify]: Extracting #2: cost 10 inf + 0 509.135 * * [simplify]: Extracting #3: cost 72 inf + 0 509.135 * * [simplify]: Extracting #4: cost 126 inf + 42 509.135 * * [simplify]: Extracting #5: cost 168 inf + 373 509.136 * * [simplify]: Extracting #6: cost 216 inf + 4343 509.138 * * [simplify]: Extracting #7: cost 198 inf + 7617 509.142 * * [simplify]: Extracting #8: cost 116 inf + 28315 509.152 * * [simplify]: Extracting #9: cost 40 inf + 66084 509.169 * * [simplify]: Extracting #10: cost 3 inf + 96749 509.189 * * [simplify]: Extracting #11: cost 0 inf + 100944 509.211 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 509.211 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 509.212 * * * * [progress]: [ 1625 / 5906 ] simplifiying candidate # 509.212 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 509.212 * * [simplify]: iters left: 6 (42 enodes) 509.223 * * [simplify]: iters left: 5 (205 enodes) 509.265 * * [simplify]: Extracting #0: cost 1 inf + 0 509.265 * * [simplify]: Extracting #1: cost 3 inf + 0 509.265 * * [simplify]: Extracting #2: cost 10 inf + 0 509.266 * * [simplify]: Extracting #3: cost 63 inf + 0 509.266 * * [simplify]: Extracting #4: cost 105 inf + 208 509.266 * * [simplify]: Extracting #5: cost 127 inf + 2282 509.267 * * [simplify]: Extracting #6: cost 192 inf + 2932 509.269 * * [simplify]: Extracting #7: cost 186 inf + 4964 509.272 * * [simplify]: Extracting #8: cost 108 inf + 22813 509.286 * * [simplify]: Extracting #9: cost 34 inf + 62833 509.302 * * [simplify]: Extracting #10: cost 2 inf + 82434 509.319 * * [simplify]: Extracting #11: cost 0 inf + 83063 509.335 * * [simplify]: Extracting #12: cost 0 inf + 82983 509.353 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 509.353 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 509.354 * * * * [progress]: [ 1626 / 5906 ] simplifiying candidate # 509.354 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 509.355 * * [simplify]: iters left: 6 (51 enodes) 509.368 * * [simplify]: iters left: 5 (252 enodes) 509.424 * * [simplify]: Extracting #0: cost 1 inf + 0 509.424 * * [simplify]: Extracting #1: cost 3 inf + 0 509.424 * * [simplify]: Extracting #2: cost 6 inf + 0 509.424 * * [simplify]: Extracting #3: cost 56 inf + 0 509.424 * * [simplify]: Extracting #4: cost 125 inf + 0 509.424 * * [simplify]: Extracting #5: cost 194 inf + 0 509.425 * * [simplify]: Extracting #6: cost 276 inf + 298 509.426 * * [simplify]: Extracting #7: cost 242 inf + 5596 509.429 * * [simplify]: Extracting #8: cost 162 inf + 18936 509.435 * * [simplify]: Extracting #9: cost 100 inf + 40468 509.447 * * [simplify]: Extracting #10: cost 56 inf + 59534 509.461 * * [simplify]: Extracting #11: cost 30 inf + 80637 509.480 * * [simplify]: Extracting #12: cost 5 inf + 104462 509.502 * * [simplify]: Extracting #13: cost 0 inf + 110227 509.524 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 509.525 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 509.525 * * * * [progress]: [ 1627 / 5906 ] simplifiying candidate # 509.525 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 509.526 * * [simplify]: iters left: 6 (52 enodes) 509.540 * * [simplify]: iters left: 5 (261 enodes) 509.598 * * [simplify]: Extracting #0: cost 1 inf + 0 509.598 * * [simplify]: Extracting #1: cost 3 inf + 0 509.598 * * [simplify]: Extracting #2: cost 6 inf + 0 509.598 * * [simplify]: Extracting #3: cost 60 inf + 0 509.599 * * [simplify]: Extracting #4: cost 148 inf + 0 509.599 * * [simplify]: Extracting #5: cost 207 inf + 85 509.600 * * [simplify]: Extracting #6: cost 254 inf + 3995 509.602 * * [simplify]: Extracting #7: cost 226 inf + 10347 509.606 * * [simplify]: Extracting #8: cost 170 inf + 19332 509.614 * * [simplify]: Extracting #9: cost 106 inf + 39646 509.630 * * [simplify]: Extracting #10: cost 26 inf + 90792 509.653 * * [simplify]: Extracting #11: cost 0 inf + 113404 509.677 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 509.677 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 509.678 * * * * [progress]: [ 1628 / 5906 ] simplifiying candidate # 509.678 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 509.678 * * [simplify]: iters left: 6 (52 enodes) 509.692 * * [simplify]: iters left: 5 (261 enodes) 509.750 * * [simplify]: Extracting #0: cost 1 inf + 0 509.750 * * [simplify]: Extracting #1: cost 3 inf + 0 509.750 * * [simplify]: Extracting #2: cost 6 inf + 0 509.750 * * [simplify]: Extracting #3: cost 62 inf + 0 509.750 * * [simplify]: Extracting #4: cost 146 inf + 0 509.751 * * [simplify]: Extracting #5: cost 203 inf + 85 509.752 * * [simplify]: Extracting #6: cost 247 inf + 4600 509.754 * * [simplify]: Extracting #7: cost 223 inf + 10545 509.758 * * [simplify]: Extracting #8: cost 166 inf + 19432 509.763 * * [simplify]: Extracting #9: cost 109 inf + 36034 509.775 * * [simplify]: Extracting #10: cost 61 inf + 58986 509.793 * * [simplify]: Extracting #11: cost 13 inf + 96751 509.814 * * [simplify]: Extracting #12: cost 0 inf + 111076 509.837 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 509.837 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 509.838 * * * * [progress]: [ 1629 / 5906 ] simplifiying candidate # 509.838 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 509.838 * * [simplify]: iters left: 6 (46 enodes) 509.850 * * [simplify]: iters left: 5 (225 enodes) 509.898 * * [simplify]: Extracting #0: cost 1 inf + 0 509.898 * * [simplify]: Extracting #1: cost 3 inf + 0 509.898 * * [simplify]: Extracting #2: cost 6 inf + 0 509.898 * * [simplify]: Extracting #3: cost 54 inf + 0 509.898 * * [simplify]: Extracting #4: cost 113 inf + 0 509.899 * * [simplify]: Extracting #5: cost 149 inf + 167 509.899 * * [simplify]: Extracting #6: cost 207 inf + 2450 509.901 * * [simplify]: Extracting #7: cost 202 inf + 4278 509.904 * * [simplify]: Extracting #8: cost 127 inf + 20068 509.912 * * [simplify]: Extracting #9: cost 59 inf + 47387 509.923 * * [simplify]: Extracting #10: cost 31 inf + 61904 509.940 * * [simplify]: Extracting #11: cost 4 inf + 83433 509.958 * * [simplify]: Extracting #12: cost 0 inf + 88893 509.978 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 509.978 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 509.979 * * * * [progress]: [ 1630 / 5906 ] simplifiying candidate # 509.979 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 509.980 * * [simplify]: iters left: 6 (51 enodes) 509.993 * * [simplify]: iters left: 5 (253 enodes) 510.049 * * [simplify]: Extracting #0: cost 1 inf + 0 510.049 * * [simplify]: Extracting #1: cost 3 inf + 0 510.049 * * [simplify]: Extracting #2: cost 10 inf + 0 510.049 * * [simplify]: Extracting #3: cost 71 inf + 0 510.049 * * [simplify]: Extracting #4: cost 133 inf + 42 510.050 * * [simplify]: Extracting #5: cost 175 inf + 249 510.051 * * [simplify]: Extracting #6: cost 243 inf + 1759 510.052 * * [simplify]: Extracting #7: cost 222 inf + 7390 510.056 * * [simplify]: Extracting #8: cost 141 inf + 23940 510.064 * * [simplify]: Extracting #9: cost 63 inf + 53381 510.078 * * [simplify]: Extracting #10: cost 21 inf + 85094 510.098 * * [simplify]: Extracting #11: cost 1 inf + 104554 510.121 * * [simplify]: Extracting #12: cost 0 inf + 106299 510.142 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 510.143 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 510.143 * * * * [progress]: [ 1631 / 5906 ] simplifiying candidate # 510.143 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 510.144 * * [simplify]: iters left: 6 (46 enodes) 510.155 * * [simplify]: iters left: 5 (225 enodes) 510.204 * * [simplify]: Extracting #0: cost 1 inf + 0 510.204 * * [simplify]: Extracting #1: cost 3 inf + 0 510.204 * * [simplify]: Extracting #2: cost 10 inf + 0 510.204 * * [simplify]: Extracting #3: cost 64 inf + 0 510.204 * * [simplify]: Extracting #4: cost 116 inf + 44 510.205 * * [simplify]: Extracting #5: cost 141 inf + 1026 510.206 * * [simplify]: Extracting #6: cost 208 inf + 2932 510.207 * * [simplify]: Extracting #7: cost 209 inf + 3992 510.209 * * [simplify]: Extracting #8: cost 152 inf + 13032 510.214 * * [simplify]: Extracting #9: cost 100 inf + 31129 510.223 * * [simplify]: Extracting #10: cost 47 inf + 52976 510.234 * * [simplify]: Extracting #11: cost 24 inf + 66165 510.250 * * [simplify]: Extracting #12: cost 1 inf + 87380 510.268 * * [simplify]: Extracting #13: cost 0 inf + 88845 510.289 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 510.290 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 510.290 * * * * [progress]: [ 1632 / 5906 ] simplifiying candidate # 510.290 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 510.291 * * [simplify]: iters left: 6 (51 enodes) 510.304 * * [simplify]: iters left: 5 (253 enodes) 510.359 * * [simplify]: Extracting #0: cost 1 inf + 0 510.359 * * [simplify]: Extracting #1: cost 3 inf + 0 510.359 * * [simplify]: Extracting #2: cost 10 inf + 0 510.360 * * [simplify]: Extracting #3: cost 71 inf + 0 510.360 * * [simplify]: Extracting #4: cost 133 inf + 42 510.360 * * [simplify]: Extracting #5: cost 175 inf + 248 510.361 * * [simplify]: Extracting #6: cost 242 inf + 1920 510.363 * * [simplify]: Extracting #7: cost 223 inf + 6565 510.366 * * [simplify]: Extracting #8: cost 143 inf + 23788 510.374 * * [simplify]: Extracting #9: cost 64 inf + 53636 510.389 * * [simplify]: Extracting #10: cost 21 inf + 86054 510.409 * * [simplify]: Extracting #11: cost 1 inf + 105514 510.430 * * [simplify]: Extracting #12: cost 0 inf + 107259 510.453 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 510.453 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 510.453 * * * * [progress]: [ 1633 / 5906 ] simplifiying candidate # 510.454 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 510.454 * * [simplify]: iters left: 6 (46 enodes) 510.466 * * [simplify]: iters left: 5 (225 enodes) 510.512 * * [simplify]: Extracting #0: cost 1 inf + 0 510.512 * * [simplify]: Extracting #1: cost 3 inf + 0 510.512 * * [simplify]: Extracting #2: cost 10 inf + 0 510.512 * * [simplify]: Extracting #3: cost 63 inf + 0 510.512 * * [simplify]: Extracting #4: cost 116 inf + 44 510.513 * * [simplify]: Extracting #5: cost 142 inf + 904 510.514 * * [simplify]: Extracting #6: cost 208 inf + 2932 510.515 * * [simplify]: Extracting #7: cost 207 inf + 4355 510.517 * * [simplify]: Extracting #8: cost 151 inf + 13153 510.524 * * [simplify]: Extracting #9: cost 100 inf + 31427 510.533 * * [simplify]: Extracting #10: cost 46 inf + 53841 510.544 * * [simplify]: Extracting #11: cost 24 inf + 66565 510.561 * * [simplify]: Extracting #12: cost 1 inf + 87780 510.579 * * [simplify]: Extracting #13: cost 0 inf + 89245 510.597 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 510.597 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 510.598 * * * * [progress]: [ 1634 / 5906 ] simplifiying candidate # 510.598 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 510.598 * * [simplify]: iters left: 6 (47 enodes) 510.611 * * [simplify]: iters left: 5 (228 enodes) 510.662 * * [simplify]: Extracting #0: cost 1 inf + 0 510.662 * * [simplify]: Extracting #1: cost 3 inf + 0 510.662 * * [simplify]: Extracting #2: cost 6 inf + 0 510.662 * * [simplify]: Extracting #3: cost 48 inf + 0 510.662 * * [simplify]: Extracting #4: cost 112 inf + 0 510.662 * * [simplify]: Extracting #5: cost 184 inf + 0 510.663 * * [simplify]: Extracting #6: cost 254 inf + 291 510.664 * * [simplify]: Extracting #7: cost 219 inf + 5051 510.667 * * [simplify]: Extracting #8: cost 132 inf + 20668 510.673 * * [simplify]: Extracting #9: cost 91 inf + 35620 510.682 * * [simplify]: Extracting #10: cost 40 inf + 60012 510.700 * * [simplify]: Extracting #11: cost 7 inf + 89496 510.719 * * [simplify]: Extracting #12: cost 0 inf + 98551 510.739 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) 510.739 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 510.739 * * * * [progress]: [ 1635 / 5906 ] simplifiying candidate # 510.740 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 510.740 * * [simplify]: iters left: 6 (48 enodes) 510.753 * * [simplify]: iters left: 5 (237 enodes) 510.807 * * [simplify]: Extracting #0: cost 1 inf + 0 510.807 * * [simplify]: Extracting #1: cost 3 inf + 0 510.807 * * [simplify]: Extracting #2: cost 6 inf + 0 510.808 * * [simplify]: Extracting #3: cost 52 inf + 0 510.808 * * [simplify]: Extracting #4: cost 135 inf + 0 510.808 * * [simplify]: Extracting #5: cost 194 inf + 290 510.810 * * [simplify]: Extracting #6: cost 218 inf + 7346 510.812 * * [simplify]: Extracting #7: cost 197 inf + 11926 510.816 * * [simplify]: Extracting #8: cost 136 inf + 22524 510.822 * * [simplify]: Extracting #9: cost 84 inf + 41609 510.842 * * [simplify]: Extracting #10: cost 11 inf + 91120 510.865 * * [simplify]: Extracting #11: cost 0 inf + 100328 510.884 * * [simplify]: Extracting #12: cost 0 inf + 100088 510.904 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 510.904 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 510.904 * * * * [progress]: [ 1636 / 5906 ] simplifiying candidate # 510.905 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 510.905 * * [simplify]: iters left: 6 (48 enodes) 510.917 * * [simplify]: iters left: 5 (237 enodes) 510.971 * * [simplify]: Extracting #0: cost 1 inf + 0 510.971 * * [simplify]: Extracting #1: cost 3 inf + 0 510.971 * * [simplify]: Extracting #2: cost 6 inf + 0 510.971 * * [simplify]: Extracting #3: cost 54 inf + 0 510.972 * * [simplify]: Extracting #4: cost 133 inf + 0 510.972 * * [simplify]: Extracting #5: cost 190 inf + 210 510.974 * * [simplify]: Extracting #6: cost 218 inf + 6819 510.976 * * [simplify]: Extracting #7: cost 198 inf + 10915 510.979 * * [simplify]: Extracting #8: cost 142 inf + 20590 510.984 * * [simplify]: Extracting #9: cost 93 inf + 35840 510.998 * * [simplify]: Extracting #10: cost 20 inf + 80188 511.017 * * [simplify]: Extracting #11: cost 2 inf + 95510 511.039 * * [simplify]: Extracting #12: cost 1 inf + 97375 511.060 * * [simplify]: Extracting #13: cost 0 inf + 99240 511.081 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) 511.081 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 511.081 * * * * [progress]: [ 1637 / 5906 ] simplifiying candidate # 511.082 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 511.082 * * [simplify]: iters left: 6 (42 enodes) 511.093 * * [simplify]: iters left: 5 (202 enodes) 511.138 * * [simplify]: Extracting #0: cost 1 inf + 0 511.138 * * [simplify]: Extracting #1: cost 3 inf + 0 511.138 * * [simplify]: Extracting #2: cost 6 inf + 0 511.138 * * [simplify]: Extracting #3: cost 46 inf + 0 511.138 * * [simplify]: Extracting #4: cost 101 inf + 0 511.139 * * [simplify]: Extracting #5: cost 141 inf + 85 511.139 * * [simplify]: Extracting #6: cost 196 inf + 1554 511.140 * * [simplify]: Extracting #7: cost 182 inf + 4521 511.142 * * [simplify]: Extracting #8: cost 137 inf + 10332 511.147 * * [simplify]: Extracting #9: cost 85 inf + 27224 511.159 * * [simplify]: Extracting #10: cost 22 inf + 61845 511.176 * * [simplify]: Extracting #11: cost 0 inf + 78379 511.193 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 511.193 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 511.193 * * * * [progress]: [ 1638 / 5906 ] simplifiying candidate # 511.194 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 511.194 * * [simplify]: iters left: 6 (47 enodes) 511.206 * * [simplify]: iters left: 5 (230 enodes) 511.257 * * [simplify]: Extracting #0: cost 1 inf + 0 511.257 * * [simplify]: Extracting #1: cost 3 inf + 0 511.257 * * [simplify]: Extracting #2: cost 10 inf + 0 511.258 * * [simplify]: Extracting #3: cost 62 inf + 0 511.258 * * [simplify]: Extracting #4: cost 115 inf + 42 511.258 * * [simplify]: Extracting #5: cost 158 inf + 332 511.259 * * [simplify]: Extracting #6: cost 211 inf + 3051 511.260 * * [simplify]: Extracting #7: cost 200 inf + 6092 511.264 * * [simplify]: Extracting #8: cost 115 inf + 23916 511.272 * * [simplify]: Extracting #9: cost 50 inf + 49985 511.287 * * [simplify]: Extracting #10: cost 15 inf + 76175 511.305 * * [simplify]: Extracting #11: cost 0 inf + 91075 511.323 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 511.323 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 511.323 * * * * [progress]: [ 1639 / 5906 ] simplifiying candidate # 511.324 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 511.324 * * [simplify]: iters left: 6 (42 enodes) 511.335 * * [simplify]: iters left: 5 (203 enodes) 511.378 * * [simplify]: Extracting #0: cost 1 inf + 0 511.378 * * [simplify]: Extracting #1: cost 3 inf + 0 511.378 * * [simplify]: Extracting #2: cost 10 inf + 0 511.378 * * [simplify]: Extracting #3: cost 54 inf + 0 511.378 * * [simplify]: Extracting #4: cost 95 inf + 86 511.379 * * [simplify]: Extracting #5: cost 121 inf + 1392 511.380 * * [simplify]: Extracting #6: cost 181 inf + 2932 511.381 * * [simplify]: Extracting #7: cost 177 inf + 4440 511.384 * * [simplify]: Extracting #8: cost 94 inf + 22968 511.392 * * [simplify]: Extracting #9: cost 37 inf + 48540 511.405 * * [simplify]: Extracting #10: cost 5 inf + 69602 511.419 * * [simplify]: Extracting #11: cost 1 inf + 72569 511.434 * * [simplify]: Extracting #12: cost 0 inf + 74074 511.448 * * [simplify]: Extracting #13: cost 0 inf + 74034 511.464 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 511.465 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 511.465 * * * * [progress]: [ 1640 / 5906 ] simplifiying candidate # 511.465 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 511.466 * * [simplify]: iters left: 6 (47 enodes) 511.479 * * [simplify]: iters left: 5 (230 enodes) 511.529 * * [simplify]: Extracting #0: cost 1 inf + 0 511.529 * * [simplify]: Extracting #1: cost 3 inf + 0 511.529 * * [simplify]: Extracting #2: cost 10 inf + 0 511.529 * * [simplify]: Extracting #3: cost 62 inf + 0 511.530 * * [simplify]: Extracting #4: cost 115 inf + 42 511.530 * * [simplify]: Extracting #5: cost 158 inf + 332 511.531 * * [simplify]: Extracting #6: cost 207 inf + 3778 511.532 * * [simplify]: Extracting #7: cost 199 inf + 6173 511.538 * * [simplify]: Extracting #8: cost 114 inf + 24457 511.545 * * [simplify]: Extracting #9: cost 50 inf + 49985 511.559 * * [simplify]: Extracting #10: cost 15 inf + 76735 511.577 * * [simplify]: Extracting #11: cost 0 inf + 91875 511.595 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 511.595 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 511.595 * * * * [progress]: [ 1641 / 5906 ] simplifiying candidate # 511.596 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 511.596 * * [simplify]: iters left: 6 (42 enodes) 511.607 * * [simplify]: iters left: 5 (203 enodes) 511.649 * * [simplify]: Extracting #0: cost 1 inf + 0 511.649 * * [simplify]: Extracting #1: cost 3 inf + 0 511.649 * * [simplify]: Extracting #2: cost 10 inf + 0 511.649 * * [simplify]: Extracting #3: cost 53 inf + 0 511.650 * * [simplify]: Extracting #4: cost 95 inf + 86 511.650 * * [simplify]: Extracting #5: cost 122 inf + 1350 511.651 * * [simplify]: Extracting #6: cost 181 inf + 2932 511.652 * * [simplify]: Extracting #7: cost 176 inf + 4602 511.655 * * [simplify]: Extracting #8: cost 94 inf + 23670 511.664 * * [simplify]: Extracting #9: cost 37 inf + 48460 511.677 * * [simplify]: Extracting #10: cost 5 inf + 69922 511.691 * * [simplify]: Extracting #11: cost 1 inf + 72889 511.706 * * [simplify]: Extracting #12: cost 0 inf + 74394 511.722 * * [simplify]: Extracting #13: cost 0 inf + 74354 511.737 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 511.737 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 511.737 * * * * [progress]: [ 1642 / 5906 ] simplifiying candidate # 511.738 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 511.738 * * [simplify]: iters left: 6 (52 enodes) 511.751 * * [simplify]: iters left: 5 (254 enodes) 511.811 * * [simplify]: Extracting #0: cost 1 inf + 0 511.811 * * [simplify]: Extracting #1: cost 3 inf + 0 511.811 * * [simplify]: Extracting #2: cost 6 inf + 0 511.811 * * [simplify]: Extracting #3: cost 56 inf + 0 511.811 * * [simplify]: Extracting #4: cost 130 inf + 0 511.812 * * [simplify]: Extracting #5: cost 210 inf + 0 511.813 * * [simplify]: Extracting #6: cost 292 inf + 934 511.814 * * [simplify]: Extracting #7: cost 240 inf + 8824 511.817 * * [simplify]: Extracting #8: cost 167 inf + 23513 511.823 * * [simplify]: Extracting #9: cost 114 inf + 39638 511.834 * * [simplify]: Extracting #10: cost 59 inf + 63884 511.847 * * [simplify]: Extracting #11: cost 39 inf + 78241 511.868 * * [simplify]: Extracting #12: cost 5 inf + 118051 511.895 * * [simplify]: Extracting #13: cost 1 inf + 123591 511.920 * * [simplify]: Extracting #14: cost 0 inf + 125656 511.945 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 511.945 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 511.946 * * * * [progress]: [ 1643 / 5906 ] simplifiying candidate # 511.946 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 511.946 * * [simplify]: iters left: 6 (53 enodes) 511.960 * * [simplify]: iters left: 5 (263 enodes) 512.018 * * [simplify]: Extracting #0: cost 1 inf + 0 512.018 * * [simplify]: Extracting #1: cost 3 inf + 0 512.018 * * [simplify]: Extracting #2: cost 6 inf + 0 512.018 * * [simplify]: Extracting #3: cost 60 inf + 0 512.019 * * [simplify]: Extracting #4: cost 153 inf + 0 512.019 * * [simplify]: Extracting #5: cost 224 inf + 44 512.020 * * [simplify]: Extracting #6: cost 274 inf + 4236 512.023 * * [simplify]: Extracting #7: cost 232 inf + 10847 512.027 * * [simplify]: Extracting #8: cost 172 inf + 21328 512.033 * * [simplify]: Extracting #9: cost 110 inf + 44744 512.046 * * [simplify]: Extracting #10: cost 58 inf + 68151 512.065 * * [simplify]: Extracting #11: cost 15 inf + 110698 512.091 * * [simplify]: Extracting #12: cost 0 inf + 128793 512.116 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 512.116 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 512.116 * * * * [progress]: [ 1644 / 5906 ] simplifiying candidate # 512.117 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 512.117 * * [simplify]: iters left: 6 (53 enodes) 512.130 * * [simplify]: iters left: 5 (263 enodes) 512.189 * * [simplify]: Extracting #0: cost 1 inf + 0 512.189 * * [simplify]: Extracting #1: cost 3 inf + 0 512.189 * * [simplify]: Extracting #2: cost 6 inf + 0 512.189 * * [simplify]: Extracting #3: cost 62 inf + 0 512.189 * * [simplify]: Extracting #4: cost 151 inf + 0 512.190 * * [simplify]: Extracting #5: cost 220 inf + 44 512.191 * * [simplify]: Extracting #6: cost 267 inf + 4600 512.194 * * [simplify]: Extracting #7: cost 227 inf + 11729 512.197 * * [simplify]: Extracting #8: cost 173 inf + 20597 512.205 * * [simplify]: Extracting #9: cost 110 inf + 44155 512.218 * * [simplify]: Extracting #10: cost 40 inf + 80833 512.238 * * [simplify]: Extracting #11: cost 11 inf + 111510 512.262 * * [simplify]: Extracting #12: cost 0 inf + 126225 512.287 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 512.287 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 512.288 * * * * [progress]: [ 1645 / 5906 ] simplifiying candidate # 512.288 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 512.288 * * [simplify]: iters left: 6 (47 enodes) 512.302 * * [simplify]: iters left: 5 (227 enodes) 512.350 * * [simplify]: Extracting #0: cost 1 inf + 0 512.350 * * [simplify]: Extracting #1: cost 3 inf + 0 512.350 * * [simplify]: Extracting #2: cost 6 inf + 0 512.350 * * [simplify]: Extracting #3: cost 54 inf + 0 512.350 * * [simplify]: Extracting #4: cost 119 inf + 0 512.351 * * [simplify]: Extracting #5: cost 164 inf + 452 512.351 * * [simplify]: Extracting #6: cost 226 inf + 2853 512.353 * * [simplify]: Extracting #7: cost 217 inf + 4522 512.356 * * [simplify]: Extracting #8: cost 146 inf + 19960 512.363 * * [simplify]: Extracting #9: cost 80 inf + 41228 512.379 * * [simplify]: Extracting #10: cost 20 inf + 86859 512.399 * * [simplify]: Extracting #11: cost 1 inf + 101379 512.420 * * [simplify]: Extracting #12: cost 0 inf + 103244 512.440 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 512.440 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 512.441 * * * * [progress]: [ 1646 / 5906 ] simplifiying candidate # 512.441 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 512.441 * * [simplify]: iters left: 6 (52 enodes) 512.454 * * [simplify]: iters left: 5 (255 enodes) 512.510 * * [simplify]: Extracting #0: cost 1 inf + 0 512.510 * * [simplify]: Extracting #1: cost 3 inf + 0 512.510 * * [simplify]: Extracting #2: cost 10 inf + 0 512.510 * * [simplify]: Extracting #3: cost 74 inf + 0 512.510 * * [simplify]: Extracting #4: cost 137 inf + 1 512.511 * * [simplify]: Extracting #5: cost 190 inf + 207 512.512 * * [simplify]: Extracting #6: cost 252 inf + 3375 512.513 * * [simplify]: Extracting #7: cost 227 inf + 7236 512.516 * * [simplify]: Extracting #8: cost 168 inf + 17857 512.522 * * [simplify]: Extracting #9: cost 101 inf + 42698 512.533 * * [simplify]: Extracting #10: cost 51 inf + 66662 512.554 * * [simplify]: Extracting #11: cost 7 inf + 108920 512.577 * * [simplify]: Extracting #12: cost 0 inf + 117975 512.600 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 512.600 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 512.601 * * * * [progress]: [ 1647 / 5906 ] simplifiying candidate # 512.601 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 512.601 * * [simplify]: iters left: 6 (47 enodes) 512.613 * * [simplify]: iters left: 5 (227 enodes) 512.661 * * [simplify]: Extracting #0: cost 1 inf + 0 512.662 * * [simplify]: Extracting #1: cost 3 inf + 0 512.662 * * [simplify]: Extracting #2: cost 10 inf + 0 512.662 * * [simplify]: Extracting #3: cost 66 inf + 0 512.662 * * [simplify]: Extracting #4: cost 117 inf + 44 512.662 * * [simplify]: Extracting #5: cost 152 inf + 1348 512.663 * * [simplify]: Extracting #6: cost 223 inf + 2972 512.665 * * [simplify]: Extracting #7: cost 214 inf + 4642 512.667 * * [simplify]: Extracting #8: cost 144 inf + 18299 512.675 * * [simplify]: Extracting #9: cost 71 inf + 44944 512.689 * * [simplify]: Extracting #10: cost 12 inf + 85958 512.708 * * [simplify]: Extracting #11: cost 1 inf + 97109 512.730 * * [simplify]: Extracting #12: cost 0 inf + 98854 512.750 * * [simplify]: Extracting #13: cost 0 inf + 98774 512.769 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 512.769 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 512.770 * * * * [progress]: [ 1648 / 5906 ] simplifiying candidate # 512.770 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 512.770 * * [simplify]: iters left: 6 (52 enodes) 512.783 * * [simplify]: iters left: 5 (255 enodes) 512.839 * * [simplify]: Extracting #0: cost 1 inf + 0 512.839 * * [simplify]: Extracting #1: cost 3 inf + 0 512.839 * * [simplify]: Extracting #2: cost 10 inf + 0 512.839 * * [simplify]: Extracting #3: cost 74 inf + 0 512.839 * * [simplify]: Extracting #4: cost 137 inf + 1 512.840 * * [simplify]: Extracting #5: cost 190 inf + 207 512.841 * * [simplify]: Extracting #6: cost 257 inf + 2125 512.842 * * [simplify]: Extracting #7: cost 230 inf + 6390 512.845 * * [simplify]: Extracting #8: cost 167 inf + 18139 512.851 * * [simplify]: Extracting #9: cost 105 inf + 41799 512.862 * * [simplify]: Extracting #10: cost 51 inf + 67462 512.883 * * [simplify]: Extracting #11: cost 7 inf + 109880 512.906 * * [simplify]: Extracting #12: cost 0 inf + 118935 512.929 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 512.929 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 512.929 * * * * [progress]: [ 1649 / 5906 ] simplifiying candidate # 512.930 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 512.930 * * [simplify]: iters left: 6 (47 enodes) 512.942 * * [simplify]: iters left: 5 (227 enodes) 512.991 * * [simplify]: Extracting #0: cost 1 inf + 0 512.991 * * [simplify]: Extracting #1: cost 3 inf + 0 512.991 * * [simplify]: Extracting #2: cost 10 inf + 0 512.991 * * [simplify]: Extracting #3: cost 65 inf + 0 512.991 * * [simplify]: Extracting #4: cost 117 inf + 44 512.992 * * [simplify]: Extracting #5: cost 156 inf + 780 512.992 * * [simplify]: Extracting #6: cost 225 inf + 2568 512.994 * * [simplify]: Extracting #7: cost 213 inf + 4804 512.996 * * [simplify]: Extracting #8: cost 147 inf + 17653 513.003 * * [simplify]: Extracting #9: cost 72 inf + 44620 513.017 * * [simplify]: Extracting #10: cost 15 inf + 83925 513.037 * * [simplify]: Extracting #11: cost 1 inf + 97509 513.059 * * [simplify]: Extracting #12: cost 0 inf + 99254 513.078 * * [simplify]: Extracting #13: cost 0 inf + 99174 513.097 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 513.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 513.098 * * * * [progress]: [ 1650 / 5906 ] simplifiying candidate # 513.098 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 513.099 * * [simplify]: iters left: 6 (52 enodes) 513.112 * * [simplify]: iters left: 5 (253 enodes) 513.169 * * [simplify]: Extracting #0: cost 1 inf + 0 513.169 * * [simplify]: Extracting #1: cost 3 inf + 0 513.169 * * [simplify]: Extracting #2: cost 6 inf + 0 513.169 * * [simplify]: Extracting #3: cost 56 inf + 0 513.169 * * [simplify]: Extracting #4: cost 130 inf + 0 513.170 * * [simplify]: Extracting #5: cost 210 inf + 0 513.170 * * [simplify]: Extracting #6: cost 288 inf + 213 513.173 * * [simplify]: Extracting #7: cost 216 inf + 12046 513.178 * * [simplify]: Extracting #8: cost 124 inf + 39171 513.189 * * [simplify]: Extracting #9: cost 55 inf + 65999 513.207 * * [simplify]: Extracting #10: cost 9 inf + 110469 513.231 * * [simplify]: Extracting #11: cost 1 inf + 120989 513.254 * * [simplify]: Extracting #12: cost 0 inf + 123014 513.277 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 513.277 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 513.278 * * * * [progress]: [ 1651 / 5906 ] simplifiying candidate # 513.278 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 513.278 * * [simplify]: iters left: 6 (53 enodes) 513.292 * * [simplify]: iters left: 5 (262 enodes) 513.352 * * [simplify]: Extracting #0: cost 1 inf + 0 513.352 * * [simplify]: Extracting #1: cost 3 inf + 0 513.352 * * [simplify]: Extracting #2: cost 6 inf + 0 513.352 * * [simplify]: Extracting #3: cost 60 inf + 0 513.352 * * [simplify]: Extracting #4: cost 153 inf + 0 513.353 * * [simplify]: Extracting #5: cost 223 inf + 85 513.354 * * [simplify]: Extracting #6: cost 251 inf + 6549 513.357 * * [simplify]: Extracting #7: cost 195 inf + 17525 513.362 * * [simplify]: Extracting #8: cost 148 inf + 29890 513.371 * * [simplify]: Extracting #9: cost 93 inf + 54001 513.385 * * [simplify]: Extracting #10: cost 49 inf + 73286 513.403 * * [simplify]: Extracting #11: cost 11 inf + 112476 513.427 * * [simplify]: Extracting #12: cost 0 inf + 125831 513.450 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 513.450 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 513.451 * * * * [progress]: [ 1652 / 5906 ] simplifiying candidate # 513.451 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 513.451 * * [simplify]: iters left: 6 (53 enodes) 513.465 * * [simplify]: iters left: 5 (262 enodes) 513.523 * * [simplify]: Extracting #0: cost 1 inf + 0 513.523 * * [simplify]: Extracting #1: cost 3 inf + 0 513.523 * * [simplify]: Extracting #2: cost 6 inf + 0 513.523 * * [simplify]: Extracting #3: cost 62 inf + 0 513.524 * * [simplify]: Extracting #4: cost 151 inf + 0 513.524 * * [simplify]: Extracting #5: cost 220 inf + 44 513.525 * * [simplify]: Extracting #6: cost 260 inf + 4845 513.528 * * [simplify]: Extracting #7: cost 193 inf + 16597 513.533 * * [simplify]: Extracting #8: cost 149 inf + 29500 513.544 * * [simplify]: Extracting #9: cost 92 inf + 52537 513.555 * * [simplify]: Extracting #10: cost 50 inf + 71693 513.574 * * [simplify]: Extracting #11: cost 13 inf + 108858 513.597 * * [simplify]: Extracting #12: cost 0 inf + 124863 513.620 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 513.621 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 513.621 * * * * [progress]: [ 1653 / 5906 ] simplifiying candidate # 513.621 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 513.622 * * [simplify]: iters left: 6 (47 enodes) 513.635 * * [simplify]: iters left: 5 (226 enodes) 513.684 * * [simplify]: Extracting #0: cost 1 inf + 0 513.684 * * [simplify]: Extracting #1: cost 3 inf + 0 513.684 * * [simplify]: Extracting #2: cost 6 inf + 0 513.684 * * [simplify]: Extracting #3: cost 54 inf + 0 513.684 * * [simplify]: Extracting #4: cost 119 inf + 0 513.685 * * [simplify]: Extracting #5: cost 168 inf + 44 513.685 * * [simplify]: Extracting #6: cost 225 inf + 1644 513.687 * * [simplify]: Extracting #7: cost 189 inf + 7495 513.690 * * [simplify]: Extracting #8: cost 149 inf + 15147 513.695 * * [simplify]: Extracting #9: cost 112 inf + 29490 513.704 * * [simplify]: Extracting #10: cost 46 inf + 57513 513.721 * * [simplify]: Extracting #11: cost 4 inf + 93662 513.740 * * [simplify]: Extracting #12: cost 1 inf + 98457 513.759 * * [simplify]: Extracting #13: cost 0 inf + 100322 513.778 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 513.778 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 513.779 * * * * [progress]: [ 1654 / 5906 ] simplifiying candidate # 513.779 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 513.779 * * [simplify]: iters left: 6 (52 enodes) 513.792 * * [simplify]: iters left: 5 (254 enodes) 513.848 * * [simplify]: Extracting #0: cost 1 inf + 0 513.848 * * [simplify]: Extracting #1: cost 3 inf + 0 513.848 * * [simplify]: Extracting #2: cost 10 inf + 0 513.848 * * [simplify]: Extracting #3: cost 74 inf + 0 513.848 * * [simplify]: Extracting #4: cost 137 inf + 1 513.848 * * [simplify]: Extracting #5: cost 190 inf + 207 513.850 * * [simplify]: Extracting #6: cost 235 inf + 4358 513.852 * * [simplify]: Extracting #7: cost 180 inf + 17381 513.858 * * [simplify]: Extracting #8: cost 117 inf + 38643 513.868 * * [simplify]: Extracting #9: cost 52 inf + 65593 513.886 * * [simplify]: Extracting #10: cost 12 inf + 101273 513.908 * * [simplify]: Extracting #11: cost 1 inf + 113868 513.929 * * [simplify]: Extracting #12: cost 0 inf + 115893 513.951 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 513.951 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 513.952 * * * * [progress]: [ 1655 / 5906 ] simplifiying candidate # 513.952 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 513.953 * * [simplify]: iters left: 6 (47 enodes) 513.965 * * [simplify]: iters left: 5 (226 enodes) 514.015 * * [simplify]: Extracting #0: cost 1 inf + 0 514.015 * * [simplify]: Extracting #1: cost 3 inf + 0 514.015 * * [simplify]: Extracting #2: cost 10 inf + 0 514.015 * * [simplify]: Extracting #3: cost 66 inf + 0 514.015 * * [simplify]: Extracting #4: cost 117 inf + 44 514.016 * * [simplify]: Extracting #5: cost 152 inf + 1388 514.017 * * [simplify]: Extracting #6: cost 216 inf + 3057 514.018 * * [simplify]: Extracting #7: cost 187 inf + 7457 514.021 * * [simplify]: Extracting #8: cost 142 inf + 20891 514.028 * * [simplify]: Extracting #9: cost 96 inf + 39399 514.038 * * [simplify]: Extracting #10: cost 34 inf + 62975 514.055 * * [simplify]: Extracting #11: cost 4 inf + 89832 514.073 * * [simplify]: Extracting #12: cost 0 inf + 96212 514.091 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 514.091 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 514.091 * * * * [progress]: [ 1656 / 5906 ] simplifiying candidate # 514.092 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 514.092 * * [simplify]: iters left: 6 (52 enodes) 514.105 * * [simplify]: iters left: 5 (254 enodes) 514.161 * * [simplify]: Extracting #0: cost 1 inf + 0 514.161 * * [simplify]: Extracting #1: cost 3 inf + 0 514.161 * * [simplify]: Extracting #2: cost 10 inf + 0 514.161 * * [simplify]: Extracting #3: cost 74 inf + 0 514.161 * * [simplify]: Extracting #4: cost 137 inf + 1 514.161 * * [simplify]: Extracting #5: cost 190 inf + 207 514.163 * * [simplify]: Extracting #6: cost 236 inf + 4797 514.166 * * [simplify]: Extracting #7: cost 177 inf + 19711 514.172 * * [simplify]: Extracting #8: cost 116 inf + 39925 514.182 * * [simplify]: Extracting #9: cost 52 inf + 66553 514.199 * * [simplify]: Extracting #10: cost 12 inf + 102233 514.222 * * [simplify]: Extracting #11: cost 1 inf + 114828 514.244 * * [simplify]: Extracting #12: cost 0 inf + 116853 514.266 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 514.266 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 514.267 * * * * [progress]: [ 1657 / 5906 ] simplifiying candidate # 514.267 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 514.267 * * [simplify]: iters left: 6 (47 enodes) 514.280 * * [simplify]: iters left: 5 (226 enodes) 514.328 * * [simplify]: Extracting #0: cost 1 inf + 0 514.328 * * [simplify]: Extracting #1: cost 3 inf + 0 514.328 * * [simplify]: Extracting #2: cost 10 inf + 0 514.328 * * [simplify]: Extracting #3: cost 65 inf + 0 514.329 * * [simplify]: Extracting #4: cost 116 inf + 86 514.329 * * [simplify]: Extracting #5: cost 149 inf + 1634 514.330 * * [simplify]: Extracting #6: cost 216 inf + 3017 514.332 * * [simplify]: Extracting #7: cost 186 inf + 7943 514.335 * * [simplify]: Extracting #8: cost 139 inf + 22339 514.341 * * [simplify]: Extracting #9: cost 97 inf + 38412 514.351 * * [simplify]: Extracting #10: cost 41 inf + 58840 514.364 * * [simplify]: Extracting #11: cost 14 inf + 82462 514.384 * * [simplify]: Extracting #12: cost 0 inf + 97972 514.403 * * [simplify]: Extracting #13: cost 0 inf + 97732 514.422 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 514.422 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 514.422 * * * * [progress]: [ 1658 / 5906 ] simplifiying candidate # 514.423 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 514.423 * * [simplify]: iters left: 6 (52 enodes) 514.437 * * [simplify]: iters left: 5 (254 enodes) 514.501 * * [simplify]: Extracting #0: cost 1 inf + 0 514.501 * * [simplify]: Extracting #1: cost 3 inf + 0 514.501 * * [simplify]: Extracting #2: cost 6 inf + 0 514.501 * * [simplify]: Extracting #3: cost 56 inf + 0 514.501 * * [simplify]: Extracting #4: cost 130 inf + 0 514.502 * * [simplify]: Extracting #5: cost 210 inf + 0 514.503 * * [simplify]: Extracting #6: cost 292 inf + 934 514.504 * * [simplify]: Extracting #7: cost 241 inf + 8702 514.507 * * [simplify]: Extracting #8: cost 169 inf + 22587 514.513 * * [simplify]: Extracting #9: cost 114 inf + 39638 514.523 * * [simplify]: Extracting #10: cost 59 inf + 64204 514.536 * * [simplify]: Extracting #11: cost 39 inf + 78641 514.560 * * [simplify]: Extracting #12: cost 5 inf + 119571 514.584 * * [simplify]: Extracting #13: cost 1 inf + 125271 514.609 * * [simplify]: Extracting #14: cost 0 inf + 127376 514.633 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 514.634 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 514.634 * * * * [progress]: [ 1659 / 5906 ] simplifiying candidate # 514.634 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 514.635 * * [simplify]: iters left: 6 (53 enodes) 514.649 * * [simplify]: iters left: 5 (263 enodes) 514.707 * * [simplify]: Extracting #0: cost 1 inf + 0 514.707 * * [simplify]: Extracting #1: cost 3 inf + 0 514.707 * * [simplify]: Extracting #2: cost 6 inf + 0 514.707 * * [simplify]: Extracting #3: cost 60 inf + 0 514.707 * * [simplify]: Extracting #4: cost 153 inf + 0 514.708 * * [simplify]: Extracting #5: cost 224 inf + 44 514.709 * * [simplify]: Extracting #6: cost 274 inf + 4236 514.711 * * [simplify]: Extracting #7: cost 233 inf + 10765 514.717 * * [simplify]: Extracting #8: cost 172 inf + 21539 514.723 * * [simplify]: Extracting #9: cost 113 inf + 43829 514.734 * * [simplify]: Extracting #10: cost 58 inf + 68471 514.753 * * [simplify]: Extracting #11: cost 15 inf + 111058 514.777 * * [simplify]: Extracting #12: cost 0 inf + 129113 514.803 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 514.803 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 514.803 * * * * [progress]: [ 1660 / 5906 ] simplifiying candidate # 514.804 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 514.804 * * [simplify]: iters left: 6 (53 enodes) 514.819 * * [simplify]: iters left: 5 (263 enodes) 514.876 * * [simplify]: Extracting #0: cost 1 inf + 0 514.876 * * [simplify]: Extracting #1: cost 3 inf + 0 514.876 * * [simplify]: Extracting #2: cost 6 inf + 0 514.876 * * [simplify]: Extracting #3: cost 62 inf + 0 514.876 * * [simplify]: Extracting #4: cost 151 inf + 0 514.877 * * [simplify]: Extracting #5: cost 220 inf + 44 514.878 * * [simplify]: Extracting #6: cost 267 inf + 4600 514.883 * * [simplify]: Extracting #7: cost 227 inf + 11729 514.886 * * [simplify]: Extracting #8: cost 173 inf + 20597 514.893 * * [simplify]: Extracting #9: cost 111 inf + 44051 514.905 * * [simplify]: Extracting #10: cost 40 inf + 81153 514.925 * * [simplify]: Extracting #11: cost 12 inf + 110685 514.949 * * [simplify]: Extracting #12: cost 0 inf + 126545 514.974 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 514.974 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 514.975 * * * * [progress]: [ 1661 / 5906 ] simplifiying candidate # 514.975 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 514.976 * * [simplify]: iters left: 6 (47 enodes) 514.987 * * [simplify]: iters left: 5 (227 enodes) 515.035 * * [simplify]: Extracting #0: cost 1 inf + 0 515.035 * * [simplify]: Extracting #1: cost 3 inf + 0 515.035 * * [simplify]: Extracting #2: cost 6 inf + 0 515.035 * * [simplify]: Extracting #3: cost 54 inf + 0 515.036 * * [simplify]: Extracting #4: cost 119 inf + 0 515.036 * * [simplify]: Extracting #5: cost 164 inf + 452 515.037 * * [simplify]: Extracting #6: cost 226 inf + 2853 515.038 * * [simplify]: Extracting #7: cost 216 inf + 4644 515.041 * * [simplify]: Extracting #8: cost 144 inf + 21090 515.050 * * [simplify]: Extracting #9: cost 80 inf + 41548 515.065 * * [simplify]: Extracting #10: cost 20 inf + 87179 515.086 * * [simplify]: Extracting #11: cost 1 inf + 101699 515.108 * * [simplify]: Extracting #12: cost 0 inf + 103564 515.129 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 515.129 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 515.130 * * * * [progress]: [ 1662 / 5906 ] simplifiying candidate # 515.130 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 515.130 * * [simplify]: iters left: 6 (52 enodes) 515.144 * * [simplify]: iters left: 5 (255 enodes) 515.198 * * [simplify]: Extracting #0: cost 1 inf + 0 515.199 * * [simplify]: Extracting #1: cost 3 inf + 0 515.199 * * [simplify]: Extracting #2: cost 10 inf + 0 515.199 * * [simplify]: Extracting #3: cost 74 inf + 0 515.199 * * [simplify]: Extracting #4: cost 137 inf + 1 515.199 * * [simplify]: Extracting #5: cost 190 inf + 207 515.200 * * [simplify]: Extracting #6: cost 253 inf + 3293 515.202 * * [simplify]: Extracting #7: cost 227 inf + 7196 515.205 * * [simplify]: Extracting #8: cost 162 inf + 20162 515.211 * * [simplify]: Extracting #9: cost 127 inf + 35932 515.221 * * [simplify]: Extracting #10: cost 88 inf + 53066 515.232 * * [simplify]: Extracting #11: cost 50 inf + 67725 515.250 * * [simplify]: Extracting #12: cost 7 inf + 109240 515.273 * * [simplify]: Extracting #13: cost 0 inf + 118295 515.296 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 515.296 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 515.297 * * * * [progress]: [ 1663 / 5906 ] simplifiying candidate # 515.297 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 515.298 * * [simplify]: iters left: 6 (47 enodes) 515.311 * * [simplify]: iters left: 5 (227 enodes) 515.358 * * [simplify]: Extracting #0: cost 1 inf + 0 515.358 * * [simplify]: Extracting #1: cost 3 inf + 0 515.358 * * [simplify]: Extracting #2: cost 10 inf + 0 515.358 * * [simplify]: Extracting #3: cost 66 inf + 0 515.359 * * [simplify]: Extracting #4: cost 117 inf + 44 515.359 * * [simplify]: Extracting #5: cost 152 inf + 1348 515.360 * * [simplify]: Extracting #6: cost 223 inf + 2972 515.361 * * [simplify]: Extracting #7: cost 214 inf + 4642 515.364 * * [simplify]: Extracting #8: cost 143 inf + 18724 515.372 * * [simplify]: Extracting #9: cost 71 inf + 45264 515.388 * * [simplify]: Extracting #10: cost 12 inf + 86398 515.407 * * [simplify]: Extracting #11: cost 1 inf + 97349 515.427 * * [simplify]: Extracting #12: cost 0 inf + 99094 515.446 * * [simplify]: Extracting #13: cost 0 inf + 99014 515.465 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 515.465 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 515.466 * * * * [progress]: [ 1664 / 5906 ] simplifiying candidate # 515.466 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 515.466 * * [simplify]: iters left: 6 (52 enodes) 515.480 * * [simplify]: iters left: 5 (255 enodes) 515.535 * * [simplify]: Extracting #0: cost 1 inf + 0 515.535 * * [simplify]: Extracting #1: cost 3 inf + 0 515.535 * * [simplify]: Extracting #2: cost 10 inf + 0 515.535 * * [simplify]: Extracting #3: cost 74 inf + 0 515.535 * * [simplify]: Extracting #4: cost 137 inf + 1 515.536 * * [simplify]: Extracting #5: cost 190 inf + 207 515.536 * * [simplify]: Extracting #6: cost 259 inf + 1801 515.538 * * [simplify]: Extracting #7: cost 229 inf + 6592 515.541 * * [simplify]: Extracting #8: cost 158 inf + 22335 515.550 * * [simplify]: Extracting #9: cost 99 inf + 47121 515.561 * * [simplify]: Extracting #10: cost 52 inf + 67675 515.580 * * [simplify]: Extracting #11: cost 7 inf + 110200 515.603 * * [simplify]: Extracting #12: cost 0 inf + 119255 515.626 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 515.626 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 515.627 * * * * [progress]: [ 1665 / 5906 ] simplifiying candidate # 515.627 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 515.628 * * [simplify]: iters left: 6 (47 enodes) 515.639 * * [simplify]: iters left: 5 (227 enodes) 515.687 * * [simplify]: Extracting #0: cost 1 inf + 0 515.687 * * [simplify]: Extracting #1: cost 3 inf + 0 515.687 * * [simplify]: Extracting #2: cost 10 inf + 0 515.687 * * [simplify]: Extracting #3: cost 65 inf + 0 515.688 * * [simplify]: Extracting #4: cost 117 inf + 44 515.688 * * [simplify]: Extracting #5: cost 156 inf + 780 515.689 * * [simplify]: Extracting #6: cost 225 inf + 2568 515.690 * * [simplify]: Extracting #7: cost 213 inf + 4804 515.693 * * [simplify]: Extracting #8: cost 145 inf + 18503 515.701 * * [simplify]: Extracting #9: cost 73 inf + 44498 515.715 * * [simplify]: Extracting #10: cost 15 inf + 84245 515.736 * * [simplify]: Extracting #11: cost 1 inf + 97829 515.755 * * [simplify]: Extracting #12: cost 0 inf + 99574 515.775 * * [simplify]: Extracting #13: cost 0 inf + 99494 515.794 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 515.794 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 515.795 * * * * [progress]: [ 1666 / 5906 ] simplifiying candidate # 515.795 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 515.795 * * [simplify]: iters left: 6 (52 enodes) 515.808 * * [simplify]: iters left: 5 (254 enodes) 515.865 * * [simplify]: Extracting #0: cost 1 inf + 0 515.865 * * [simplify]: Extracting #1: cost 3 inf + 0 515.865 * * [simplify]: Extracting #2: cost 6 inf + 0 515.865 * * [simplify]: Extracting #3: cost 56 inf + 0 515.866 * * [simplify]: Extracting #4: cost 130 inf + 0 515.866 * * [simplify]: Extracting #5: cost 210 inf + 0 515.867 * * [simplify]: Extracting #6: cost 284 inf + 1183 515.869 * * [simplify]: Extracting #7: cost 215 inf + 12694 515.874 * * [simplify]: Extracting #8: cost 119 inf + 41044 515.887 * * [simplify]: Extracting #9: cost 57 inf + 66198 515.906 * * [simplify]: Extracting #10: cost 12 inf + 109676 515.929 * * [simplify]: Extracting #11: cost 1 inf + 122791 515.953 * * [simplify]: Extracting #12: cost 0 inf + 124856 515.977 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) 515.977 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 515.978 * * * * [progress]: [ 1667 / 5906 ] simplifiying candidate # 515.978 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 515.978 * * [simplify]: iters left: 6 (53 enodes) 515.994 * * [simplify]: iters left: 5 (263 enodes) 516.053 * * [simplify]: Extracting #0: cost 1 inf + 0 516.053 * * [simplify]: Extracting #1: cost 3 inf + 0 516.053 * * [simplify]: Extracting #2: cost 6 inf + 0 516.053 * * [simplify]: Extracting #3: cost 60 inf + 0 516.053 * * [simplify]: Extracting #4: cost 153 inf + 0 516.054 * * [simplify]: Extracting #5: cost 224 inf + 44 516.055 * * [simplify]: Extracting #6: cost 261 inf + 4975 516.060 * * [simplify]: Extracting #7: cost 200 inf + 15473 516.065 * * [simplify]: Extracting #8: cost 151 inf + 30749 516.072 * * [simplify]: Extracting #9: cost 121 inf + 44613 516.081 * * [simplify]: Extracting #10: cost 93 inf + 56521 516.093 * * [simplify]: Extracting #11: cost 53 inf + 70988 516.111 * * [simplify]: Extracting #12: cost 15 inf + 109738 516.135 * * [simplify]: Extracting #13: cost 0 inf + 127433 516.160 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 516.160 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 516.161 * * * * [progress]: [ 1668 / 5906 ] simplifiying candidate # 516.161 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 516.161 * * [simplify]: iters left: 6 (53 enodes) 516.175 * * [simplify]: iters left: 5 (263 enodes) 516.235 * * [simplify]: Extracting #0: cost 1 inf + 0 516.235 * * [simplify]: Extracting #1: cost 3 inf + 0 516.235 * * [simplify]: Extracting #2: cost 6 inf + 0 516.235 * * [simplify]: Extracting #3: cost 62 inf + 0 516.235 * * [simplify]: Extracting #4: cost 151 inf + 0 516.236 * * [simplify]: Extracting #5: cost 220 inf + 44 516.237 * * [simplify]: Extracting #6: cost 256 inf + 5377 516.240 * * [simplify]: Extracting #7: cost 192 inf + 17888 516.245 * * [simplify]: Extracting #8: cost 151 inf + 29970 516.253 * * [simplify]: Extracting #9: cost 96 inf + 53585 516.265 * * [simplify]: Extracting #10: cost 36 inf + 81127 516.285 * * [simplify]: Extracting #11: cost 11 inf + 109870 516.309 * * [simplify]: Extracting #12: cost 0 inf + 123585 516.333 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 516.333 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 516.334 * * * * [progress]: [ 1669 / 5906 ] simplifiying candidate # 516.334 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 516.335 * * [simplify]: iters left: 6 (47 enodes) 516.346 * * [simplify]: iters left: 5 (227 enodes) 516.396 * * [simplify]: Extracting #0: cost 1 inf + 0 516.396 * * [simplify]: Extracting #1: cost 3 inf + 0 516.396 * * [simplify]: Extracting #2: cost 6 inf + 0 516.396 * * [simplify]: Extracting #3: cost 54 inf + 0 516.397 * * [simplify]: Extracting #4: cost 119 inf + 0 516.397 * * [simplify]: Extracting #5: cost 168 inf + 44 516.398 * * [simplify]: Extracting #6: cost 227 inf + 1803 516.399 * * [simplify]: Extracting #7: cost 187 inf + 8383 516.404 * * [simplify]: Extracting #8: cost 111 inf + 29736 516.413 * * [simplify]: Extracting #9: cost 57 inf + 53808 516.428 * * [simplify]: Extracting #10: cost 8 inf + 91232 516.447 * * [simplify]: Extracting #11: cost 1 inf + 97139 516.466 * * [simplify]: Extracting #12: cost 0 inf + 98724 516.487 * * [simplify]: Extracting #13: cost 0 inf + 98684 516.506 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 516.506 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 516.507 * * * * [progress]: [ 1670 / 5906 ] simplifiying candidate # 516.507 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 516.507 * * [simplify]: iters left: 6 (52 enodes) 516.520 * * [simplify]: iters left: 5 (255 enodes) 516.577 * * [simplify]: Extracting #0: cost 1 inf + 0 516.577 * * [simplify]: Extracting #1: cost 3 inf + 0 516.577 * * [simplify]: Extracting #2: cost 10 inf + 0 516.577 * * [simplify]: Extracting #3: cost 74 inf + 0 516.577 * * [simplify]: Extracting #4: cost 137 inf + 1 516.577 * * [simplify]: Extracting #5: cost 190 inf + 207 516.579 * * [simplify]: Extracting #6: cost 236 inf + 4440 516.582 * * [simplify]: Extracting #7: cost 179 inf + 20017 516.588 * * [simplify]: Extracting #8: cost 127 inf + 37662 516.596 * * [simplify]: Extracting #9: cost 89 inf + 51361 516.606 * * [simplify]: Extracting #10: cost 49 inf + 66870 516.625 * * [simplify]: Extracting #11: cost 6 inf + 109345 516.651 * * [simplify]: Extracting #12: cost 0 inf + 116135 516.674 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 516.674 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 516.674 * * * * [progress]: [ 1671 / 5906 ] simplifiying candidate # 516.674 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 516.675 * * [simplify]: iters left: 6 (47 enodes) 516.686 * * [simplify]: iters left: 5 (227 enodes) 516.735 * * [simplify]: Extracting #0: cost 1 inf + 0 516.735 * * [simplify]: Extracting #1: cost 3 inf + 0 516.735 * * [simplify]: Extracting #2: cost 10 inf + 0 516.736 * * [simplify]: Extracting #3: cost 66 inf + 0 516.736 * * [simplify]: Extracting #4: cost 117 inf + 44 516.736 * * [simplify]: Extracting #5: cost 152 inf + 1348 516.737 * * [simplify]: Extracting #6: cost 217 inf + 3057 516.739 * * [simplify]: Extracting #7: cost 168 inf + 14267 516.745 * * [simplify]: Extracting #8: cost 124 inf + 30189 516.751 * * [simplify]: Extracting #9: cost 92 inf + 40380 516.760 * * [simplify]: Extracting #10: cost 43 inf + 57872 516.774 * * [simplify]: Extracting #11: cost 10 inf + 84804 516.793 * * [simplify]: Extracting #12: cost 1 inf + 94829 516.813 * * [simplify]: Extracting #13: cost 0 inf + 96534 516.832 * * [simplify]: Extracting #14: cost 0 inf + 96454 516.851 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 516.851 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 516.851 * * * * [progress]: [ 1672 / 5906 ] simplifiying candidate # 516.851 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 516.852 * * [simplify]: iters left: 6 (52 enodes) 516.865 * * [simplify]: iters left: 5 (255 enodes) 516.921 * * [simplify]: Extracting #0: cost 1 inf + 0 516.922 * * [simplify]: Extracting #1: cost 3 inf + 0 516.922 * * [simplify]: Extracting #2: cost 10 inf + 0 516.922 * * [simplify]: Extracting #3: cost 74 inf + 0 516.922 * * [simplify]: Extracting #4: cost 137 inf + 1 516.922 * * [simplify]: Extracting #5: cost 190 inf + 207 516.923 * * [simplify]: Extracting #6: cost 243 inf + 2786 516.926 * * [simplify]: Extracting #7: cost 184 inf + 18521 516.932 * * [simplify]: Extracting #8: cost 127 inf + 38462 516.940 * * [simplify]: Extracting #9: cost 91 inf + 51351 516.951 * * [simplify]: Extracting #10: cost 50 inf + 67005 516.971 * * [simplify]: Extracting #11: cost 6 inf + 110305 516.995 * * [simplify]: Extracting #12: cost 0 inf + 117095 517.018 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 517.018 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 517.018 * * * * [progress]: [ 1673 / 5906 ] simplifiying candidate # 517.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 517.019 * * [simplify]: iters left: 6 (47 enodes) 517.031 * * [simplify]: iters left: 5 (227 enodes) 517.080 * * [simplify]: Extracting #0: cost 1 inf + 0 517.080 * * [simplify]: Extracting #1: cost 3 inf + 0 517.080 * * [simplify]: Extracting #2: cost 10 inf + 0 517.080 * * [simplify]: Extracting #3: cost 65 inf + 0 517.080 * * [simplify]: Extracting #4: cost 117 inf + 44 517.081 * * [simplify]: Extracting #5: cost 156 inf + 780 517.081 * * [simplify]: Extracting #6: cost 219 inf + 2653 517.083 * * [simplify]: Extracting #7: cost 178 inf + 9317 517.087 * * [simplify]: Extracting #8: cost 134 inf + 23711 517.094 * * [simplify]: Extracting #9: cost 92 inf + 41102 517.103 * * [simplify]: Extracting #10: cost 42 inf + 58484 517.117 * * [simplify]: Extracting #11: cost 11 inf + 84819 517.135 * * [simplify]: Extracting #12: cost 1 inf + 96309 517.156 * * [simplify]: Extracting #13: cost 0 inf + 98054 517.174 * * [simplify]: Extracting #14: cost 0 inf + 97974 517.193 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 517.193 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 517.193 * * * * [progress]: [ 1674 / 5906 ] simplifiying candidate # 517.194 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 517.194 * * [simplify]: iters left: 6 (51 enodes) 517.207 * * [simplify]: iters left: 5 (256 enodes) 517.268 * * [simplify]: Extracting #0: cost 1 inf + 0 517.268 * * [simplify]: Extracting #1: cost 3 inf + 0 517.268 * * [simplify]: Extracting #2: cost 6 inf + 0 517.269 * * [simplify]: Extracting #3: cost 56 inf + 0 517.269 * * [simplify]: Extracting #4: cost 130 inf + 0 517.269 * * [simplify]: Extracting #5: cost 214 inf + 0 517.270 * * [simplify]: Extracting #6: cost 304 inf + 420 517.272 * * [simplify]: Extracting #7: cost 255 inf + 8531 517.276 * * [simplify]: Extracting #8: cost 166 inf + 24927 517.282 * * [simplify]: Extracting #9: cost 116 inf + 42207 517.294 * * [simplify]: Extracting #10: cost 60 inf + 67423 517.316 * * [simplify]: Extracting #11: cost 14 inf + 108560 517.341 * * [simplify]: Extracting #12: cost 1 inf + 124925 517.367 * * [simplify]: Extracting #13: cost 0 inf + 126950 517.393 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 517.393 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 517.394 * * * * [progress]: [ 1675 / 5906 ] simplifiying candidate # 517.394 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 517.394 * * [simplify]: iters left: 6 (52 enodes) 517.407 * * [simplify]: iters left: 5 (265 enodes) 517.468 * * [simplify]: Extracting #0: cost 1 inf + 0 517.468 * * [simplify]: Extracting #1: cost 3 inf + 0 517.468 * * [simplify]: Extracting #2: cost 6 inf + 0 517.468 * * [simplify]: Extracting #3: cost 60 inf + 0 517.468 * * [simplify]: Extracting #4: cost 153 inf + 0 517.469 * * [simplify]: Extracting #5: cost 226 inf + 127 517.470 * * [simplify]: Extracting #6: cost 282 inf + 4079 517.472 * * [simplify]: Extracting #7: cost 247 inf + 10765 517.477 * * [simplify]: Extracting #8: cost 159 inf + 30872 517.491 * * [simplify]: Extracting #9: cost 58 inf + 73188 517.512 * * [simplify]: Extracting #10: cost 12 inf + 114810 517.538 * * [simplify]: Extracting #11: cost 0 inf + 130007 517.565 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 517.565 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 517.565 * * * * [progress]: [ 1676 / 5906 ] simplifiying candidate # 517.566 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 517.566 * * [simplify]: iters left: 6 (52 enodes) 517.582 * * [simplify]: iters left: 5 (265 enodes) 517.642 * * [simplify]: Extracting #0: cost 1 inf + 0 517.642 * * [simplify]: Extracting #1: cost 3 inf + 0 517.642 * * [simplify]: Extracting #2: cost 6 inf + 0 517.642 * * [simplify]: Extracting #3: cost 62 inf + 0 517.642 * * [simplify]: Extracting #4: cost 151 inf + 0 517.643 * * [simplify]: Extracting #5: cost 223 inf + 85 517.644 * * [simplify]: Extracting #6: cost 283 inf + 3468 517.648 * * [simplify]: Extracting #7: cost 259 inf + 9132 517.652 * * [simplify]: Extracting #8: cost 198 inf + 19374 517.658 * * [simplify]: Extracting #9: cost 120 inf + 41267 517.670 * * [simplify]: Extracting #10: cost 55 inf + 76515 517.692 * * [simplify]: Extracting #11: cost 11 inf + 118884 517.718 * * [simplify]: Extracting #12: cost 0 inf + 133839 517.745 * * [simplify]: Extracting #13: cost 0 inf + 133239 517.771 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 517.771 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 517.772 * * * * [progress]: [ 1677 / 5906 ] simplifiying candidate # 517.772 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 517.772 * * [simplify]: iters left: 6 (46 enodes) 517.784 * * [simplify]: iters left: 5 (229 enodes) 517.836 * * [simplify]: Extracting #0: cost 1 inf + 0 517.836 * * [simplify]: Extracting #1: cost 3 inf + 0 517.836 * * [simplify]: Extracting #2: cost 6 inf + 0 517.836 * * [simplify]: Extracting #3: cost 54 inf + 0 517.836 * * [simplify]: Extracting #4: cost 119 inf + 0 517.836 * * [simplify]: Extracting #5: cost 170 inf + 167 517.837 * * [simplify]: Extracting #6: cost 241 inf + 2043 517.839 * * [simplify]: Extracting #7: cost 237 inf + 3750 517.843 * * [simplify]: Extracting #8: cost 131 inf + 26594 517.852 * * [simplify]: Extracting #9: cost 59 inf + 57661 517.869 * * [simplify]: Extracting #10: cost 11 inf + 93025 517.891 * * [simplify]: Extracting #11: cost 0 inf + 104818 517.912 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 517.912 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 517.913 * * * * [progress]: [ 1678 / 5906 ] simplifiying candidate # 517.913 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 517.915 * * [simplify]: iters left: 6 (51 enodes) 517.928 * * [simplify]: iters left: 5 (257 enodes) 517.985 * * [simplify]: Extracting #0: cost 1 inf + 0 517.986 * * [simplify]: Extracting #1: cost 3 inf + 0 517.986 * * [simplify]: Extracting #2: cost 10 inf + 0 517.986 * * [simplify]: Extracting #3: cost 74 inf + 0 517.986 * * [simplify]: Extracting #4: cost 136 inf + 42 517.989 * * [simplify]: Extracting #5: cost 193 inf + 249 517.990 * * [simplify]: Extracting #6: cost 270 inf + 2042 517.991 * * [simplify]: Extracting #7: cost 251 inf + 6375 517.995 * * [simplify]: Extracting #8: cost 165 inf + 23156 518.002 * * [simplify]: Extracting #9: cost 99 inf + 47730 518.016 * * [simplify]: Extracting #10: cost 41 inf + 79284 518.036 * * [simplify]: Extracting #11: cost 6 inf + 110599 518.060 * * [simplify]: Extracting #12: cost 1 inf + 118524 518.086 * * [simplify]: Extracting #13: cost 0 inf + 120549 518.111 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 518.111 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 518.112 * * * * [progress]: [ 1679 / 5906 ] simplifiying candidate # 518.112 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 518.113 * * [simplify]: iters left: 6 (46 enodes) 518.129 * * [simplify]: iters left: 5 (229 enodes) 518.180 * * [simplify]: Extracting #0: cost 1 inf + 0 518.180 * * [simplify]: Extracting #1: cost 3 inf + 0 518.180 * * [simplify]: Extracting #2: cost 10 inf + 0 518.180 * * [simplify]: Extracting #3: cost 66 inf + 0 518.180 * * [simplify]: Extracting #4: cost 117 inf + 44 518.181 * * [simplify]: Extracting #5: cost 162 inf + 496 518.182 * * [simplify]: Extracting #6: cost 235 inf + 2770 518.183 * * [simplify]: Extracting #7: cost 231 inf + 4597 518.186 * * [simplify]: Extracting #8: cost 162 inf + 16782 518.193 * * [simplify]: Extracting #9: cost 87 inf + 46886 518.205 * * [simplify]: Extracting #10: cost 37 inf + 68771 518.223 * * [simplify]: Extracting #11: cost 5 inf + 94503 518.244 * * [simplify]: Extracting #12: cost 0 inf + 101428 518.266 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 518.266 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 518.267 * * * * [progress]: [ 1680 / 5906 ] simplifiying candidate # 518.267 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 518.267 * * [simplify]: iters left: 6 (51 enodes) 518.280 * * [simplify]: iters left: 5 (257 enodes) 518.339 * * [simplify]: Extracting #0: cost 1 inf + 0 518.339 * * [simplify]: Extracting #1: cost 3 inf + 0 518.339 * * [simplify]: Extracting #2: cost 10 inf + 0 518.339 * * [simplify]: Extracting #3: cost 74 inf + 0 518.340 * * [simplify]: Extracting #4: cost 136 inf + 42 518.340 * * [simplify]: Extracting #5: cost 193 inf + 248 518.341 * * [simplify]: Extracting #6: cost 263 inf + 3694 518.344 * * [simplify]: Extracting #7: cost 215 inf + 13970 518.348 * * [simplify]: Extracting #8: cost 152 inf + 27808 518.356 * * [simplify]: Extracting #9: cost 101 inf + 47061 518.369 * * [simplify]: Extracting #10: cost 42 inf + 79459 518.389 * * [simplify]: Extracting #11: cost 7 inf + 110774 518.413 * * [simplify]: Extracting #12: cost 1 inf + 119484 518.440 * * [simplify]: Extracting #13: cost 0 inf + 121509 518.466 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) 518.466 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 518.467 * * * * [progress]: [ 1681 / 5906 ] simplifiying candidate # 518.467 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 518.467 * * [simplify]: iters left: 6 (46 enodes) 518.479 * * [simplify]: iters left: 5 (229 enodes) 518.531 * * [simplify]: Extracting #0: cost 1 inf + 0 518.531 * * [simplify]: Extracting #1: cost 3 inf + 0 518.531 * * [simplify]: Extracting #2: cost 10 inf + 0 518.532 * * [simplify]: Extracting #3: cost 65 inf + 0 518.532 * * [simplify]: Extracting #4: cost 117 inf + 44 518.532 * * [simplify]: Extracting #5: cost 161 inf + 538 518.533 * * [simplify]: Extracting #6: cost 235 inf + 2770 518.534 * * [simplify]: Extracting #7: cost 231 inf + 4396 518.537 * * [simplify]: Extracting #8: cost 165 inf + 15574 518.543 * * [simplify]: Extracting #9: cost 100 inf + 38438 518.555 * * [simplify]: Extracting #10: cost 37 inf + 69171 518.573 * * [simplify]: Extracting #11: cost 5 inf + 94903 518.594 * * [simplify]: Extracting #12: cost 0 inf + 101828 518.617 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 518.617 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 518.618 * * * * [progress]: [ 1682 / 5906 ] simplifiying candidate # 518.618 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 518.618 * * [simplify]: iters left: 6 (51 enodes) 518.631 * * [simplify]: iters left: 5 (252 enodes) 518.688 * * [simplify]: Extracting #0: cost 1 inf + 0 518.688 * * [simplify]: Extracting #1: cost 3 inf + 0 518.688 * * [simplify]: Extracting #2: cost 6 inf + 0 518.688 * * [simplify]: Extracting #3: cost 56 inf + 0 518.688 * * [simplify]: Extracting #4: cost 125 inf + 0 518.688 * * [simplify]: Extracting #5: cost 194 inf + 0 518.689 * * [simplify]: Extracting #6: cost 275 inf + 339 518.690 * * [simplify]: Extracting #7: cost 242 inf + 5373 518.693 * * [simplify]: Extracting #8: cost 167 inf + 18764 518.699 * * [simplify]: Extracting #9: cost 101 inf + 39488 518.713 * * [simplify]: Extracting #10: cost 32 inf + 81315 518.733 * * [simplify]: Extracting #11: cost 1 inf + 108882 518.755 * * [simplify]: Extracting #12: cost 0 inf + 110267 518.779 * * [simplify]: Extracting #13: cost 0 inf + 110227 518.801 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 518.801 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 518.801 * * * * [progress]: [ 1683 / 5906 ] simplifiying candidate # 518.802 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 518.802 * * [simplify]: iters left: 6 (52 enodes) 518.815 * * [simplify]: iters left: 5 (261 enodes) 518.876 * * [simplify]: Extracting #0: cost 1 inf + 0 518.876 * * [simplify]: Extracting #1: cost 3 inf + 0 518.876 * * [simplify]: Extracting #2: cost 6 inf + 0 518.876 * * [simplify]: Extracting #3: cost 60 inf + 0 518.876 * * [simplify]: Extracting #4: cost 148 inf + 0 518.876 * * [simplify]: Extracting #5: cost 207 inf + 85 518.878 * * [simplify]: Extracting #6: cost 257 inf + 3469 518.880 * * [simplify]: Extracting #7: cost 229 inf + 9902 518.883 * * [simplify]: Extracting #8: cost 176 inf + 19039 518.890 * * [simplify]: Extracting #9: cost 98 inf + 46635 518.908 * * [simplify]: Extracting #10: cost 18 inf + 97200 518.930 * * [simplify]: Extracting #11: cost 0 inf + 113844 518.955 * * [simplify]: Extracting #12: cost 0 inf + 113404 518.978 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 518.978 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 518.979 * * * * [progress]: [ 1684 / 5906 ] simplifiying candidate # 518.979 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 518.980 * * [simplify]: iters left: 6 (52 enodes) 518.993 * * [simplify]: iters left: 5 (261 enodes) 519.052 * * [simplify]: Extracting #0: cost 1 inf + 0 519.052 * * [simplify]: Extracting #1: cost 3 inf + 0 519.052 * * [simplify]: Extracting #2: cost 6 inf + 0 519.052 * * [simplify]: Extracting #3: cost 62 inf + 0 519.053 * * [simplify]: Extracting #4: cost 146 inf + 0 519.053 * * [simplify]: Extracting #5: cost 203 inf + 85 519.054 * * [simplify]: Extracting #6: cost 253 inf + 3509 519.057 * * [simplify]: Extracting #7: cost 219 inf + 10794 519.061 * * [simplify]: Extracting #8: cost 156 inf + 21481 519.068 * * [simplify]: Extracting #9: cost 100 inf + 42848 519.086 * * [simplify]: Extracting #10: cost 9 inf + 102762 519.110 * * [simplify]: Extracting #11: cost 0 inf + 111076 519.132 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 519.132 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 519.133 * * * * [progress]: [ 1685 / 5906 ] simplifiying candidate # 519.133 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 519.133 * * [simplify]: iters left: 6 (46 enodes) 519.145 * * [simplify]: iters left: 5 (225 enodes) 519.194 * * [simplify]: Extracting #0: cost 1 inf + 0 519.194 * * [simplify]: Extracting #1: cost 3 inf + 0 519.194 * * [simplify]: Extracting #2: cost 6 inf + 0 519.194 * * [simplify]: Extracting #3: cost 54 inf + 0 519.194 * * [simplify]: Extracting #4: cost 113 inf + 0 519.194 * * [simplify]: Extracting #5: cost 149 inf + 167 519.195 * * [simplify]: Extracting #6: cost 210 inf + 2124 519.196 * * [simplify]: Extracting #7: cost 201 inf + 4360 519.199 * * [simplify]: Extracting #8: cost 151 inf + 11062 519.202 * * [simplify]: Extracting #9: cost 116 inf + 21388 519.210 * * [simplify]: Extracting #10: cost 52 inf + 48320 519.221 * * [simplify]: Extracting #11: cost 29 inf + 62128 519.236 * * [simplify]: Extracting #12: cost 4 inf + 83953 519.254 * * [simplify]: Extracting #13: cost 0 inf + 88853 519.275 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 519.275 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 519.275 * * * * [progress]: [ 1686 / 5906 ] simplifiying candidate # 519.275 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 519.276 * * [simplify]: iters left: 6 (51 enodes) 519.289 * * [simplify]: iters left: 5 (253 enodes) 519.342 * * [simplify]: Extracting #0: cost 1 inf + 0 519.342 * * [simplify]: Extracting #1: cost 3 inf + 0 519.342 * * [simplify]: Extracting #2: cost 10 inf + 0 519.343 * * [simplify]: Extracting #3: cost 71 inf + 0 519.343 * * [simplify]: Extracting #4: cost 133 inf + 42 519.343 * * [simplify]: Extracting #5: cost 175 inf + 249 519.346 * * [simplify]: Extracting #6: cost 242 inf + 2041 519.348 * * [simplify]: Extracting #7: cost 229 inf + 5323 519.352 * * [simplify]: Extracting #8: cost 131 inf + 28418 519.363 * * [simplify]: Extracting #9: cost 40 inf + 70521 519.383 * * [simplify]: Extracting #10: cost 3 inf + 101104 519.403 * * [simplify]: Extracting #11: cost 1 inf + 104554 519.424 * * [simplify]: Extracting #12: cost 0 inf + 106299 519.446 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 519.446 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 519.446 * * * * [progress]: [ 1687 / 5906 ] simplifiying candidate # 519.447 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 519.447 * * [simplify]: iters left: 6 (46 enodes) 519.459 * * [simplify]: iters left: 5 (225 enodes) 519.505 * * [simplify]: Extracting #0: cost 1 inf + 0 519.505 * * [simplify]: Extracting #1: cost 3 inf + 0 519.505 * * [simplify]: Extracting #2: cost 10 inf + 0 519.505 * * [simplify]: Extracting #3: cost 64 inf + 0 519.506 * * [simplify]: Extracting #4: cost 116 inf + 44 519.506 * * [simplify]: Extracting #5: cost 141 inf + 1026 519.507 * * [simplify]: Extracting #6: cost 208 inf + 2932 519.508 * * [simplify]: Extracting #7: cost 208 inf + 4113 519.511 * * [simplify]: Extracting #8: cost 151 inf + 13154 519.518 * * [simplify]: Extracting #9: cost 96 inf + 33137 519.527 * * [simplify]: Extracting #10: cost 45 inf + 53506 519.538 * * [simplify]: Extracting #11: cost 22 inf + 68055 519.556 * * [simplify]: Extracting #12: cost 1 inf + 88300 519.575 * * [simplify]: Extracting #13: cost 0 inf + 89805 519.593 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))))) 519.593 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 519.594 * * * * [progress]: [ 1688 / 5906 ] simplifiying candidate # 519.594 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 519.594 * * [simplify]: iters left: 6 (51 enodes) 519.609 * * [simplify]: iters left: 5 (253 enodes) 519.662 * * [simplify]: Extracting #0: cost 1 inf + 0 519.662 * * [simplify]: Extracting #1: cost 3 inf + 0 519.662 * * [simplify]: Extracting #2: cost 10 inf + 0 519.662 * * [simplify]: Extracting #3: cost 71 inf + 0 519.663 * * [simplify]: Extracting #4: cost 133 inf + 42 519.663 * * [simplify]: Extracting #5: cost 176 inf + 207 519.664 * * [simplify]: Extracting #6: cost 238 inf + 3008 519.665 * * [simplify]: Extracting #7: cost 226 inf + 5808 519.669 * * [simplify]: Extracting #8: cost 132 inf + 27925 519.682 * * [simplify]: Extracting #9: cost 39 inf + 72023 519.702 * * [simplify]: Extracting #10: cost 3 inf + 102064 519.723 * * [simplify]: Extracting #11: cost 1 inf + 105514 519.744 * * [simplify]: Extracting #12: cost 0 inf + 107259 519.765 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 519.765 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 519.766 * * * * [progress]: [ 1689 / 5906 ] simplifiying candidate # 519.766 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 519.766 * * [simplify]: iters left: 6 (46 enodes) 519.780 * * [simplify]: iters left: 5 (225 enodes) 519.825 * * [simplify]: Extracting #0: cost 1 inf + 0 519.825 * * [simplify]: Extracting #1: cost 3 inf + 0 519.825 * * [simplify]: Extracting #2: cost 10 inf + 0 519.825 * * [simplify]: Extracting #3: cost 63 inf + 0 519.826 * * [simplify]: Extracting #4: cost 116 inf + 44 519.826 * * [simplify]: Extracting #5: cost 142 inf + 904 519.827 * * [simplify]: Extracting #6: cost 208 inf + 2932 519.828 * * [simplify]: Extracting #7: cost 208 inf + 4072 519.831 * * [simplify]: Extracting #8: cost 150 inf + 13275 519.836 * * [simplify]: Extracting #9: cost 96 inf + 33516 519.845 * * [simplify]: Extracting #10: cost 45 inf + 53906 519.859 * * [simplify]: Extracting #11: cost 22 inf + 68455 519.876 * * [simplify]: Extracting #12: cost 1 inf + 88700 519.895 * * [simplify]: Extracting #13: cost 0 inf + 90205 519.914 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))))) 519.914 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 519.914 * * * * [progress]: [ 1690 / 5906 ] simplifiying candidate # 519.914 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 519.915 * * [simplify]: iters left: 6 (47 enodes) 519.927 * * [simplify]: iters left: 5 (233 enodes) 519.979 * * [simplify]: Extracting #0: cost 1 inf + 0 519.979 * * [simplify]: Extracting #1: cost 3 inf + 0 519.979 * * [simplify]: Extracting #2: cost 6 inf + 0 519.979 * * [simplify]: Extracting #3: cost 54 inf + 0 519.980 * * [simplify]: Extracting #4: cost 120 inf + 0 519.980 * * [simplify]: Extracting #5: cost 192 inf + 0 519.981 * * [simplify]: Extracting #6: cost 257 inf + 169 519.982 * * [simplify]: Extracting #7: cost 221 inf + 5971 519.985 * * [simplify]: Extracting #8: cost 141 inf + 22354 519.992 * * [simplify]: Extracting #9: cost 85 inf + 42707 520.002 * * [simplify]: Extracting #10: cost 42 inf + 63963 520.023 * * [simplify]: Extracting #11: cost 8 inf + 94573 520.044 * * [simplify]: Extracting #12: cost 0 inf + 104533 520.065 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 520.065 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 520.066 * * * * [progress]: [ 1691 / 5906 ] simplifiying candidate # 520.066 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 520.067 * * [simplify]: iters left: 6 (48 enodes) 520.079 * * [simplify]: iters left: 5 (242 enodes) 520.134 * * [simplify]: Extracting #0: cost 1 inf + 0 520.134 * * [simplify]: Extracting #1: cost 3 inf + 0 520.134 * * [simplify]: Extracting #2: cost 6 inf + 0 520.135 * * [simplify]: Extracting #3: cost 58 inf + 0 520.135 * * [simplify]: Extracting #4: cost 143 inf + 0 520.135 * * [simplify]: Extracting #5: cost 202 inf + 290 520.137 * * [simplify]: Extracting #6: cost 225 inf + 5855 520.139 * * [simplify]: Extracting #7: cost 202 inf + 10839 520.142 * * [simplify]: Extracting #8: cost 140 inf + 23089 520.149 * * [simplify]: Extracting #9: cost 87 inf + 44274 520.159 * * [simplify]: Extracting #10: cost 50 inf + 60820 520.171 * * [simplify]: Extracting #11: cost 36 inf + 70850 520.192 * * [simplify]: Extracting #12: cost 1 inf + 105965 520.214 * * [simplify]: Extracting #13: cost 0 inf + 107790 520.236 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 520.236 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 520.236 * * * * [progress]: [ 1692 / 5906 ] simplifiying candidate # 520.237 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 520.237 * * [simplify]: iters left: 6 (48 enodes) 520.249 * * [simplify]: iters left: 5 (242 enodes) 520.305 * * [simplify]: Extracting #0: cost 1 inf + 0 520.305 * * [simplify]: Extracting #1: cost 3 inf + 0 520.305 * * [simplify]: Extracting #2: cost 6 inf + 0 520.305 * * [simplify]: Extracting #3: cost 60 inf + 0 520.305 * * [simplify]: Extracting #4: cost 141 inf + 0 520.306 * * [simplify]: Extracting #5: cost 198 inf + 210 520.307 * * [simplify]: Extracting #6: cost 232 inf + 3996 520.309 * * [simplify]: Extracting #7: cost 208 inf + 9181 520.312 * * [simplify]: Extracting #8: cost 156 inf + 18275 520.317 * * [simplify]: Extracting #9: cost 102 inf + 34346 520.326 * * [simplify]: Extracting #10: cost 57 inf + 56726 520.338 * * [simplify]: Extracting #11: cost 37 inf + 69697 520.360 * * [simplify]: Extracting #12: cost 4 inf + 102202 520.382 * * [simplify]: Extracting #13: cost 0 inf + 106902 520.404 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))) 520.404 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 520.405 * * * * [progress]: [ 1693 / 5906 ] simplifiying candidate # 520.405 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 520.405 * * [simplify]: iters left: 6 (42 enodes) 520.416 * * [simplify]: iters left: 5 (206 enodes) 520.461 * * [simplify]: Extracting #0: cost 1 inf + 0 520.462 * * [simplify]: Extracting #1: cost 3 inf + 0 520.462 * * [simplify]: Extracting #2: cost 6 inf + 0 520.462 * * [simplify]: Extracting #3: cost 52 inf + 0 520.462 * * [simplify]: Extracting #4: cost 109 inf + 0 520.462 * * [simplify]: Extracting #5: cost 150 inf + 44 520.463 * * [simplify]: Extracting #6: cost 199 inf + 1153 520.464 * * [simplify]: Extracting #7: cost 182 inf + 4765 520.467 * * [simplify]: Extracting #8: cost 120 inf + 16258 520.472 * * [simplify]: Extracting #9: cost 77 inf + 31279 520.482 * * [simplify]: Extracting #10: cost 28 inf + 58937 520.496 * * [simplify]: Extracting #11: cost 7 inf + 77146 520.513 * * [simplify]: Extracting #12: cost 1 inf + 83256 520.531 * * [simplify]: Extracting #13: cost 0 inf + 84881 520.550 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) 520.550 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 520.551 * * * * [progress]: [ 1694 / 5906 ] simplifiying candidate # 520.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 520.551 * * [simplify]: iters left: 6 (47 enodes) 520.563 * * [simplify]: iters left: 5 (234 enodes) 520.616 * * [simplify]: Extracting #0: cost 1 inf + 0 520.616 * * [simplify]: Extracting #1: cost 3 inf + 0 520.616 * * [simplify]: Extracting #2: cost 10 inf + 0 520.616 * * [simplify]: Extracting #3: cost 72 inf + 0 520.616 * * [simplify]: Extracting #4: cost 126 inf + 42 520.617 * * [simplify]: Extracting #5: cost 170 inf + 290 520.618 * * [simplify]: Extracting #6: cost 217 inf + 2608 520.619 * * [simplify]: Extracting #7: cost 203 inf + 6415 520.621 * * [simplify]: Extracting #8: cost 161 inf + 12659 520.626 * * [simplify]: Extracting #9: cost 99 inf + 33151 520.636 * * [simplify]: Extracting #10: cost 32 inf + 68883 520.653 * * [simplify]: Extracting #11: cost 3 inf + 93937 520.674 * * [simplify]: Extracting #12: cost 0 inf + 99132 520.694 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 520.694 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 520.694 * * * * [progress]: [ 1695 / 5906 ] simplifiying candidate # 520.695 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 520.695 * * [simplify]: iters left: 6 (42 enodes) 520.707 * * [simplify]: iters left: 5 (206 enodes) 520.750 * * [simplify]: Extracting #0: cost 1 inf + 0 520.750 * * [simplify]: Extracting #1: cost 3 inf + 0 520.750 * * [simplify]: Extracting #2: cost 10 inf + 0 520.750 * * [simplify]: Extracting #3: cost 64 inf + 0 520.751 * * [simplify]: Extracting #4: cost 105 inf + 208 520.751 * * [simplify]: Extracting #5: cost 128 inf + 2200 520.752 * * [simplify]: Extracting #6: cost 186 inf + 2932 520.753 * * [simplify]: Extracting #7: cost 184 inf + 4197 520.756 * * [simplify]: Extracting #8: cost 121 inf + 16817 520.762 * * [simplify]: Extracting #9: cost 69 inf + 35813 520.773 * * [simplify]: Extracting #10: cost 20 inf + 64374 520.791 * * [simplify]: Extracting #11: cost 1 inf + 80266 520.808 * * [simplify]: Extracting #12: cost 0 inf + 81731 520.824 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 520.825 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 520.825 * * * * [progress]: [ 1696 / 5906 ] simplifiying candidate # 520.825 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 520.826 * * [simplify]: iters left: 6 (47 enodes) 520.838 * * [simplify]: iters left: 5 (234 enodes) 520.890 * * [simplify]: Extracting #0: cost 1 inf + 0 520.890 * * [simplify]: Extracting #1: cost 3 inf + 0 520.890 * * [simplify]: Extracting #2: cost 10 inf + 0 520.890 * * [simplify]: Extracting #3: cost 72 inf + 0 520.891 * * [simplify]: Extracting #4: cost 126 inf + 42 520.891 * * [simplify]: Extracting #5: cost 169 inf + 332 520.892 * * [simplify]: Extracting #6: cost 212 inf + 3778 520.893 * * [simplify]: Extracting #7: cost 204 inf + 6213 520.896 * * [simplify]: Extracting #8: cost 162 inf + 12407 520.900 * * [simplify]: Extracting #9: cost 99 inf + 32931 520.910 * * [simplify]: Extracting #10: cost 32 inf + 69523 520.927 * * [simplify]: Extracting #11: cost 3 inf + 94897 520.947 * * [simplify]: Extracting #12: cost 1 inf + 98347 520.969 * * [simplify]: Extracting #13: cost 0 inf + 100092 520.990 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 520.991 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 520.991 * * * * [progress]: [ 1697 / 5906 ] simplifiying candidate # 520.991 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 520.992 * * [simplify]: iters left: 6 (42 enodes) 521.002 * * [simplify]: iters left: 5 (206 enodes) 521.047 * * [simplify]: Extracting #0: cost 1 inf + 0 521.047 * * [simplify]: Extracting #1: cost 3 inf + 0 521.047 * * [simplify]: Extracting #2: cost 10 inf + 0 521.047 * * [simplify]: Extracting #3: cost 63 inf + 0 521.047 * * [simplify]: Extracting #4: cost 106 inf + 86 521.048 * * [simplify]: Extracting #5: cost 130 inf + 1876 521.049 * * [simplify]: Extracting #6: cost 186 inf + 2932 521.050 * * [simplify]: Extracting #7: cost 184 inf + 4197 521.053 * * [simplify]: Extracting #8: cost 119 inf + 17181 521.059 * * [simplify]: Extracting #9: cost 67 inf + 36829 521.070 * * [simplify]: Extracting #10: cost 20 inf + 64694 521.086 * * [simplify]: Extracting #11: cost 1 inf + 80666 521.103 * * [simplify]: Extracting #12: cost 0 inf + 82131 521.120 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 521.120 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 521.121 * * * * [progress]: [ 1698 / 5906 ] simplifiying candidate # 521.121 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 521.121 * * [simplify]: iters left: 6 (47 enodes) 521.135 * * [simplify]: iters left: 5 (229 enodes) 521.186 * * [simplify]: Extracting #0: cost 1 inf + 0 521.186 * * [simplify]: Extracting #1: cost 3 inf + 0 521.186 * * [simplify]: Extracting #2: cost 6 inf + 0 521.186 * * [simplify]: Extracting #3: cost 48 inf + 0 521.186 * * [simplify]: Extracting #4: cost 112 inf + 0 521.187 * * [simplify]: Extracting #5: cost 184 inf + 0 521.187 * * [simplify]: Extracting #6: cost 249 inf + 379 521.188 * * [simplify]: Extracting #7: cost 217 inf + 4773 521.191 * * [simplify]: Extracting #8: cost 143 inf + 19433 521.197 * * [simplify]: Extracting #9: cost 86 inf + 37398 521.209 * * [simplify]: Extracting #10: cost 41 inf + 58716 521.224 * * [simplify]: Extracting #11: cost 8 inf + 87779 521.243 * * [simplify]: Extracting #12: cost 0 inf + 97699 521.263 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 521.263 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 521.263 * * * * [progress]: [ 1699 / 5906 ] simplifiying candidate # 521.264 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 521.264 * * [simplify]: iters left: 6 (48 enodes) 521.277 * * [simplify]: iters left: 5 (238 enodes) 521.332 * * [simplify]: Extracting #0: cost 1 inf + 0 521.332 * * [simplify]: Extracting #1: cost 3 inf + 0 521.332 * * [simplify]: Extracting #2: cost 6 inf + 0 521.333 * * [simplify]: Extracting #3: cost 52 inf + 0 521.333 * * [simplify]: Extracting #4: cost 135 inf + 0 521.333 * * [simplify]: Extracting #5: cost 192 inf + 454 521.335 * * [simplify]: Extracting #6: cost 212 inf + 7426 521.337 * * [simplify]: Extracting #7: cost 188 inf + 12331 521.341 * * [simplify]: Extracting #8: cost 117 inf + 27769 521.350 * * [simplify]: Extracting #9: cost 49 inf + 56227 521.363 * * [simplify]: Extracting #10: cost 24 inf + 76596 521.383 * * [simplify]: Extracting #11: cost 3 inf + 96321 521.402 * * [simplify]: Extracting #12: cost 0 inf + 99236 521.422 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) 521.422 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 521.423 * * * * [progress]: [ 1700 / 5906 ] simplifiying candidate # 521.423 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 521.423 * * [simplify]: iters left: 6 (48 enodes) 521.436 * * [simplify]: iters left: 5 (238 enodes) 521.490 * * [simplify]: Extracting #0: cost 1 inf + 0 521.490 * * [simplify]: Extracting #1: cost 3 inf + 0 521.490 * * [simplify]: Extracting #2: cost 6 inf + 0 521.490 * * [simplify]: Extracting #3: cost 54 inf + 0 521.490 * * [simplify]: Extracting #4: cost 133 inf + 0 521.491 * * [simplify]: Extracting #5: cost 190 inf + 210 521.492 * * [simplify]: Extracting #6: cost 225 inf + 3833 521.494 * * [simplify]: Extracting #7: cost 191 inf + 11257 521.497 * * [simplify]: Extracting #8: cost 136 inf + 20189 521.503 * * [simplify]: Extracting #9: cost 80 inf + 42210 521.514 * * [simplify]: Extracting #10: cost 38 inf + 63078 521.530 * * [simplify]: Extracting #11: cost 7 inf + 90333 521.551 * * [simplify]: Extracting #12: cost 0 inf + 98228 521.570 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) 521.570 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 521.571 * * * * [progress]: [ 1701 / 5906 ] simplifiying candidate # 521.571 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 521.572 * * [simplify]: iters left: 6 (42 enodes) 521.584 * * [simplify]: iters left: 5 (203 enodes) 521.628 * * [simplify]: Extracting #0: cost 1 inf + 0 521.628 * * [simplify]: Extracting #1: cost 3 inf + 0 521.629 * * [simplify]: Extracting #2: cost 6 inf + 0 521.629 * * [simplify]: Extracting #3: cost 46 inf + 0 521.629 * * [simplify]: Extracting #4: cost 101 inf + 0 521.629 * * [simplify]: Extracting #5: cost 140 inf + 126 521.630 * * [simplify]: Extracting #6: cost 191 inf + 1071 521.631 * * [simplify]: Extracting #7: cost 176 inf + 4281 521.633 * * [simplify]: Extracting #8: cost 115 inf + 15652 521.640 * * [simplify]: Extracting #9: cost 56 inf + 38786 521.650 * * [simplify]: Extracting #10: cost 25 inf + 55239 521.664 * * [simplify]: Extracting #11: cost 6 inf + 72537 521.681 * * [simplify]: Extracting #12: cost 0 inf + 78647 521.698 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))) 521.698 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 521.699 * * * * [progress]: [ 1702 / 5906 ] simplifiying candidate # 521.699 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 521.699 * * [simplify]: iters left: 6 (47 enodes) 521.714 * * [simplify]: iters left: 5 (231 enodes) 521.768 * * [simplify]: Extracting #0: cost 1 inf + 0 521.768 * * [simplify]: Extracting #1: cost 3 inf + 0 521.769 * * [simplify]: Extracting #2: cost 10 inf + 0 521.769 * * [simplify]: Extracting #3: cost 62 inf + 0 521.770 * * [simplify]: Extracting #4: cost 115 inf + 42 521.770 * * [simplify]: Extracting #5: cost 159 inf + 290 521.771 * * [simplify]: Extracting #6: cost 209 inf + 2604 521.774 * * [simplify]: Extracting #7: cost 191 inf + 6456 521.777 * * [simplify]: Extracting #8: cost 145 inf + 13841 521.782 * * [simplify]: Extracting #9: cost 85 inf + 35864 521.798 * * [simplify]: Extracting #10: cost 15 inf + 76538 521.816 * * [simplify]: Extracting #11: cost 1 inf + 88478 521.834 * * [simplify]: Extracting #12: cost 0 inf + 90223 521.852 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 521.852 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 521.853 * * * * [progress]: [ 1703 / 5906 ] simplifiying candidate # 521.853 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 521.853 * * [simplify]: iters left: 6 (42 enodes) 521.864 * * [simplify]: iters left: 5 (204 enodes) 521.907 * * [simplify]: Extracting #0: cost 1 inf + 0 521.907 * * [simplify]: Extracting #1: cost 3 inf + 0 521.907 * * [simplify]: Extracting #2: cost 10 inf + 0 521.907 * * [simplify]: Extracting #3: cost 54 inf + 0 521.908 * * [simplify]: Extracting #4: cost 95 inf + 86 521.908 * * [simplify]: Extracting #5: cost 123 inf + 1148 521.909 * * [simplify]: Extracting #6: cost 175 inf + 2932 521.910 * * [simplify]: Extracting #7: cost 173 inf + 4236 521.913 * * [simplify]: Extracting #8: cost 98 inf + 21359 521.921 * * [simplify]: Extracting #9: cost 35 inf + 48795 521.935 * * [simplify]: Extracting #10: cost 3 inf + 70227 521.949 * * [simplify]: Extracting #11: cost 1 inf + 71677 521.963 * * [simplify]: Extracting #12: cost 0 inf + 73182 521.980 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 521.980 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 521.980 * * * * [progress]: [ 1704 / 5906 ] simplifiying candidate # 521.981 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 521.981 * * [simplify]: iters left: 6 (47 enodes) 521.993 * * [simplify]: iters left: 5 (231 enodes) 522.043 * * [simplify]: Extracting #0: cost 1 inf + 0 522.043 * * [simplify]: Extracting #1: cost 3 inf + 0 522.043 * * [simplify]: Extracting #2: cost 10 inf + 0 522.043 * * [simplify]: Extracting #3: cost 62 inf + 0 522.043 * * [simplify]: Extracting #4: cost 115 inf + 42 522.044 * * [simplify]: Extracting #5: cost 156 inf + 535 522.047 * * [simplify]: Extracting #6: cost 201 inf + 3939 522.048 * * [simplify]: Extracting #7: cost 193 inf + 6173 522.050 * * [simplify]: Extracting #8: cost 147 inf + 13146 522.055 * * [simplify]: Extracting #9: cost 87 inf + 35134 522.069 * * [simplify]: Extracting #10: cost 15 inf + 77178 522.087 * * [simplify]: Extracting #11: cost 1 inf + 89278 522.106 * * [simplify]: Extracting #12: cost 0 inf + 91023 522.125 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 522.125 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 522.125 * * * * [progress]: [ 1705 / 5906 ] simplifiying candidate # 522.125 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 522.126 * * [simplify]: iters left: 6 (42 enodes) 522.137 * * [simplify]: iters left: 5 (204 enodes) 522.180 * * [simplify]: Extracting #0: cost 1 inf + 0 522.180 * * [simplify]: Extracting #1: cost 3 inf + 0 522.180 * * [simplify]: Extracting #2: cost 10 inf + 0 522.180 * * [simplify]: Extracting #3: cost 53 inf + 0 522.180 * * [simplify]: Extracting #4: cost 95 inf + 86 522.180 * * [simplify]: Extracting #5: cost 123 inf + 1228 522.181 * * [simplify]: Extracting #6: cost 175 inf + 2932 522.182 * * [simplify]: Extracting #7: cost 173 inf + 4236 522.186 * * [simplify]: Extracting #8: cost 99 inf + 21237 522.194 * * [simplify]: Extracting #9: cost 35 inf + 48915 522.207 * * [simplify]: Extracting #10: cost 3 inf + 70547 522.223 * * [simplify]: Extracting #11: cost 1 inf + 71997 522.238 * * [simplify]: Extracting #12: cost 0 inf + 73502 522.252 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 522.252 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 522.253 * * * * [progress]: [ 1706 / 5906 ] simplifiying candidate # 522.253 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 522.253 * * [simplify]: iters left: 6 (52 enodes) 522.266 * * [simplify]: iters left: 5 (254 enodes) 522.324 * * [simplify]: Extracting #0: cost 1 inf + 0 522.324 * * [simplify]: Extracting #1: cost 3 inf + 0 522.324 * * [simplify]: Extracting #2: cost 6 inf + 0 522.325 * * [simplify]: Extracting #3: cost 56 inf + 0 522.325 * * [simplify]: Extracting #4: cost 130 inf + 0 522.325 * * [simplify]: Extracting #5: cost 210 inf + 0 522.326 * * [simplify]: Extracting #6: cost 288 inf + 298 522.327 * * [simplify]: Extracting #7: cost 246 inf + 7272 522.330 * * [simplify]: Extracting #8: cost 172 inf + 20483 522.336 * * [simplify]: Extracting #9: cost 112 inf + 38698 522.346 * * [simplify]: Extracting #10: cost 60 inf + 61066 522.366 * * [simplify]: Extracting #11: cost 10 inf + 113409 522.393 * * [simplify]: Extracting #12: cost 1 inf + 123754 522.418 * * [simplify]: Extracting #13: cost 0 inf + 125859 522.443 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) 522.443 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 522.444 * * * * [progress]: [ 1707 / 5906 ] simplifiying candidate # 522.444 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 522.444 * * [simplify]: iters left: 6 (53 enodes) 522.458 * * [simplify]: iters left: 5 (263 enodes) 522.517 * * [simplify]: Extracting #0: cost 1 inf + 0 522.517 * * [simplify]: Extracting #1: cost 3 inf + 0 522.517 * * [simplify]: Extracting #2: cost 6 inf + 0 522.517 * * [simplify]: Extracting #3: cost 60 inf + 0 522.517 * * [simplify]: Extracting #4: cost 153 inf + 0 522.518 * * [simplify]: Extracting #5: cost 223 inf + 86 522.519 * * [simplify]: Extracting #6: cost 266 inf + 4556 522.522 * * [simplify]: Extracting #7: cost 230 inf + 10916 522.525 * * [simplify]: Extracting #8: cost 171 inf + 21909 522.533 * * [simplify]: Extracting #9: cost 105 inf + 48299 522.545 * * [simplify]: Extracting #10: cost 49 inf + 74131 522.560 * * [simplify]: Extracting #11: cost 45 inf + 76911 522.580 * * [simplify]: Extracting #12: cost 12 inf + 112256 522.604 * * [simplify]: Extracting #13: cost 0 inf + 127436 522.629 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 522.629 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 522.629 * * * * [progress]: [ 1708 / 5906 ] simplifiying candidate # 522.630 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 522.630 * * [simplify]: iters left: 6 (53 enodes) 522.645 * * [simplify]: iters left: 5 (263 enodes) 522.703 * * [simplify]: Extracting #0: cost 1 inf + 0 522.703 * * [simplify]: Extracting #1: cost 3 inf + 0 522.703 * * [simplify]: Extracting #2: cost 6 inf + 0 522.703 * * [simplify]: Extracting #3: cost 62 inf + 0 522.703 * * [simplify]: Extracting #4: cost 151 inf + 0 522.704 * * [simplify]: Extracting #5: cost 220 inf + 44 522.705 * * [simplify]: Extracting #6: cost 255 inf + 6091 522.708 * * [simplify]: Extracting #7: cost 230 inf + 10428 522.711 * * [simplify]: Extracting #8: cost 168 inf + 21468 522.722 * * [simplify]: Extracting #9: cost 107 inf + 45922 522.734 * * [simplify]: Extracting #10: cost 49 inf + 72563 522.753 * * [simplify]: Extracting #11: cost 15 inf + 107773 522.776 * * [simplify]: Extracting #12: cost 0 inf + 125108 522.801 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 522.801 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 522.802 * * * * [progress]: [ 1709 / 5906 ] simplifiying candidate # 522.802 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 522.802 * * [simplify]: iters left: 6 (47 enodes) 522.815 * * [simplify]: iters left: 5 (227 enodes) 522.863 * * [simplify]: Extracting #0: cost 1 inf + 0 522.863 * * [simplify]: Extracting #1: cost 3 inf + 0 522.863 * * [simplify]: Extracting #2: cost 6 inf + 0 522.863 * * [simplify]: Extracting #3: cost 54 inf + 0 522.864 * * [simplify]: Extracting #4: cost 119 inf + 0 522.864 * * [simplify]: Extracting #5: cost 168 inf + 44 522.865 * * [simplify]: Extracting #6: cost 228 inf + 1435 522.866 * * [simplify]: Extracting #7: cost 210 inf + 4362 522.868 * * [simplify]: Extracting #8: cost 174 inf + 9076 522.872 * * [simplify]: Extracting #9: cost 111 inf + 26938 522.883 * * [simplify]: Extracting #10: cost 52 inf + 53343 522.899 * * [simplify]: Extracting #11: cost 6 inf + 93217 522.918 * * [simplify]: Extracting #12: cost 1 inf + 99702 522.939 * * [simplify]: Extracting #13: cost 0 inf + 101607 522.959 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 522.959 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 522.960 * * * * [progress]: [ 1710 / 5906 ] simplifiying candidate # 522.960 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 522.960 * * [simplify]: iters left: 6 (52 enodes) 522.973 * * [simplify]: iters left: 5 (255 enodes) 523.032 * * [simplify]: Extracting #0: cost 1 inf + 0 523.032 * * [simplify]: Extracting #1: cost 3 inf + 0 523.032 * * [simplify]: Extracting #2: cost 10 inf + 0 523.032 * * [simplify]: Extracting #3: cost 74 inf + 0 523.033 * * [simplify]: Extracting #4: cost 137 inf + 1 523.033 * * [simplify]: Extracting #5: cost 190 inf + 207 523.034 * * [simplify]: Extracting #6: cost 251 inf + 2524 523.036 * * [simplify]: Extracting #7: cost 218 inf + 7479 523.040 * * [simplify]: Extracting #8: cost 129 inf + 29870 523.050 * * [simplify]: Extracting #9: cost 54 inf + 63095 523.069 * * [simplify]: Extracting #10: cost 9 inf + 104833 523.092 * * [simplify]: Extracting #11: cost 1 inf + 114513 523.115 * * [simplify]: Extracting #12: cost 0 inf + 116538 523.138 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 523.138 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 523.139 * * * * [progress]: [ 1711 / 5906 ] simplifiying candidate # 523.139 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 523.139 * * [simplify]: iters left: 6 (47 enodes) 523.152 * * [simplify]: iters left: 5 (227 enodes) 523.199 * * [simplify]: Extracting #0: cost 1 inf + 0 523.199 * * [simplify]: Extracting #1: cost 3 inf + 0 523.199 * * [simplify]: Extracting #2: cost 10 inf + 0 523.199 * * [simplify]: Extracting #3: cost 66 inf + 0 523.199 * * [simplify]: Extracting #4: cost 117 inf + 44 523.200 * * [simplify]: Extracting #5: cost 153 inf + 1106 523.201 * * [simplify]: Extracting #6: cost 216 inf + 2932 523.202 * * [simplify]: Extracting #7: cost 210 inf + 4115 523.204 * * [simplify]: Extracting #8: cost 164 inf + 11494 523.210 * * [simplify]: Extracting #9: cost 103 inf + 33504 523.219 * * [simplify]: Extracting #10: cost 44 inf + 57370 523.234 * * [simplify]: Extracting #11: cost 16 inf + 78617 523.251 * * [simplify]: Extracting #12: cost 3 inf + 91902 523.270 * * [simplify]: Extracting #13: cost 1 inf + 95512 523.290 * * [simplify]: Extracting #14: cost 0 inf + 97337 523.309 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 523.309 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 523.309 * * * * [progress]: [ 1712 / 5906 ] simplifiying candidate # 523.310 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 523.310 * * [simplify]: iters left: 6 (52 enodes) 523.325 * * [simplify]: iters left: 5 (255 enodes) 523.382 * * [simplify]: Extracting #0: cost 1 inf + 0 523.382 * * [simplify]: Extracting #1: cost 3 inf + 0 523.382 * * [simplify]: Extracting #2: cost 10 inf + 0 523.382 * * [simplify]: Extracting #3: cost 74 inf + 0 523.383 * * [simplify]: Extracting #4: cost 137 inf + 1 523.383 * * [simplify]: Extracting #5: cost 190 inf + 207 523.384 * * [simplify]: Extracting #6: cost 255 inf + 1436 523.385 * * [simplify]: Extracting #7: cost 222 inf + 6471 523.390 * * [simplify]: Extracting #8: cost 130 inf + 29618 523.402 * * [simplify]: Extracting #9: cost 54 inf + 64215 523.420 * * [simplify]: Extracting #10: cost 9 inf + 105793 523.442 * * [simplify]: Extracting #11: cost 1 inf + 115473 523.465 * * [simplify]: Extracting #12: cost 0 inf + 117498 523.488 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 523.488 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 523.489 * * * * [progress]: [ 1713 / 5906 ] simplifiying candidate # 523.489 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 523.489 * * [simplify]: iters left: 6 (47 enodes) 523.502 * * [simplify]: iters left: 5 (227 enodes) 523.549 * * [simplify]: Extracting #0: cost 1 inf + 0 523.549 * * [simplify]: Extracting #1: cost 3 inf + 0 523.549 * * [simplify]: Extracting #2: cost 10 inf + 0 523.550 * * [simplify]: Extracting #3: cost 65 inf + 0 523.550 * * [simplify]: Extracting #4: cost 116 inf + 86 523.550 * * [simplify]: Extracting #5: cost 149 inf + 1634 523.551 * * [simplify]: Extracting #6: cost 216 inf + 2932 523.552 * * [simplify]: Extracting #7: cost 211 inf + 3994 523.554 * * [simplify]: Extracting #8: cost 167 inf + 11009 523.560 * * [simplify]: Extracting #9: cost 95 inf + 37162 523.571 * * [simplify]: Extracting #10: cost 41 inf + 59045 523.584 * * [simplify]: Extracting #11: cost 16 inf + 78817 523.602 * * [simplify]: Extracting #12: cost 3 inf + 92382 523.621 * * [simplify]: Extracting #13: cost 1 inf + 95992 523.640 * * [simplify]: Extracting #14: cost 0 inf + 97817 523.660 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 523.660 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 523.661 * * * * [progress]: [ 1714 / 5906 ] simplifiying candidate # 523.661 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 523.662 * * [simplify]: iters left: 6 (52 enodes) 523.676 * * [simplify]: iters left: 5 (254 enodes) 523.731 * * [simplify]: Extracting #0: cost 1 inf + 0 523.731 * * [simplify]: Extracting #1: cost 3 inf + 0 523.732 * * [simplify]: Extracting #2: cost 6 inf + 0 523.732 * * [simplify]: Extracting #3: cost 56 inf + 0 523.732 * * [simplify]: Extracting #4: cost 130 inf + 0 523.732 * * [simplify]: Extracting #5: cost 210 inf + 0 523.733 * * [simplify]: Extracting #6: cost 281 inf + 425 523.737 * * [simplify]: Extracting #7: cost 207 inf + 14042 523.742 * * [simplify]: Extracting #8: cost 141 inf + 31314 523.749 * * [simplify]: Extracting #9: cost 101 inf + 44724 523.759 * * [simplify]: Extracting #10: cost 55 inf + 64507 523.777 * * [simplify]: Extracting #11: cost 13 inf + 108757 523.800 * * [simplify]: Extracting #12: cost 1 inf + 121777 523.823 * * [simplify]: Extracting #13: cost 0 inf + 123842 523.847 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 523.847 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 523.848 * * * * [progress]: [ 1715 / 5906 ] simplifiying candidate # 523.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 523.849 * * [simplify]: iters left: 6 (53 enodes) 523.862 * * [simplify]: iters left: 5 (263 enodes) 523.922 * * [simplify]: Extracting #0: cost 1 inf + 0 523.922 * * [simplify]: Extracting #1: cost 3 inf + 0 523.922 * * [simplify]: Extracting #2: cost 6 inf + 0 523.922 * * [simplify]: Extracting #3: cost 60 inf + 0 523.922 * * [simplify]: Extracting #4: cost 153 inf + 0 523.923 * * [simplify]: Extracting #5: cost 224 inf + 44 523.924 * * [simplify]: Extracting #6: cost 258 inf + 4925 523.927 * * [simplify]: Extracting #7: cost 203 inf + 15176 523.933 * * [simplify]: Extracting #8: cost 140 inf + 36178 523.942 * * [simplify]: Extracting #9: cost 88 inf + 58352 523.954 * * [simplify]: Extracting #10: cost 50 inf + 72731 523.974 * * [simplify]: Extracting #11: cost 11 inf + 111784 524.001 * * [simplify]: Extracting #12: cost 0 inf + 126339 524.025 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 524.025 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 524.025 * * * * [progress]: [ 1716 / 5906 ] simplifiying candidate # 524.026 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 524.026 * * [simplify]: iters left: 6 (53 enodes) 524.039 * * [simplify]: iters left: 5 (263 enodes) 524.100 * * [simplify]: Extracting #0: cost 1 inf + 0 524.100 * * [simplify]: Extracting #1: cost 3 inf + 0 524.100 * * [simplify]: Extracting #2: cost 6 inf + 0 524.100 * * [simplify]: Extracting #3: cost 62 inf + 0 524.100 * * [simplify]: Extracting #4: cost 151 inf + 0 524.101 * * [simplify]: Extracting #5: cost 220 inf + 44 524.102 * * [simplify]: Extracting #6: cost 252 inf + 5169 524.105 * * [simplify]: Extracting #7: cost 184 inf + 19367 524.111 * * [simplify]: Extracting #8: cost 136 inf + 37691 524.120 * * [simplify]: Extracting #9: cost 93 inf + 55321 524.132 * * [simplify]: Extracting #10: cost 48 inf + 72571 524.152 * * [simplify]: Extracting #11: cost 17 inf + 102426 524.174 * * [simplify]: Extracting #12: cost 0 inf + 122571 524.197 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 524.198 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 524.198 * * * * [progress]: [ 1717 / 5906 ] simplifiying candidate # 524.198 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 524.199 * * [simplify]: iters left: 6 (47 enodes) 524.210 * * [simplify]: iters left: 5 (227 enodes) 524.260 * * [simplify]: Extracting #0: cost 1 inf + 0 524.260 * * [simplify]: Extracting #1: cost 3 inf + 0 524.260 * * [simplify]: Extracting #2: cost 6 inf + 0 524.260 * * [simplify]: Extracting #3: cost 54 inf + 0 524.260 * * [simplify]: Extracting #4: cost 119 inf + 0 524.260 * * [simplify]: Extracting #5: cost 168 inf + 44 524.261 * * [simplify]: Extracting #6: cost 222 inf + 1520 524.263 * * [simplify]: Extracting #7: cost 183 inf + 7897 524.266 * * [simplify]: Extracting #8: cost 141 inf + 18439 524.273 * * [simplify]: Extracting #9: cost 88 inf + 41949 524.283 * * [simplify]: Extracting #10: cost 43 inf + 59301 524.299 * * [simplify]: Extracting #11: cost 4 inf + 93090 524.318 * * [simplify]: Extracting #12: cost 1 inf + 97685 524.338 * * [simplify]: Extracting #13: cost 0 inf + 99550 524.358 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 524.358 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 524.358 * * * * [progress]: [ 1718 / 5906 ] simplifiying candidate # 524.358 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 524.359 * * [simplify]: iters left: 6 (52 enodes) 524.372 * * [simplify]: iters left: 5 (255 enodes) 524.428 * * [simplify]: Extracting #0: cost 1 inf + 0 524.429 * * [simplify]: Extracting #1: cost 3 inf + 0 524.429 * * [simplify]: Extracting #2: cost 10 inf + 0 524.429 * * [simplify]: Extracting #3: cost 74 inf + 0 524.429 * * [simplify]: Extracting #4: cost 137 inf + 1 524.429 * * [simplify]: Extracting #5: cost 190 inf + 207 524.430 * * [simplify]: Extracting #6: cost 229 inf + 4199 524.433 * * [simplify]: Extracting #7: cost 181 inf + 15643 524.439 * * [simplify]: Extracting #8: cost 112 inf + 40588 524.450 * * [simplify]: Extracting #9: cost 46 inf + 67651 524.467 * * [simplify]: Extracting #10: cost 8 inf + 105321 524.491 * * [simplify]: Extracting #11: cost 1 inf + 113096 524.513 * * [simplify]: Extracting #12: cost 0 inf + 115121 524.535 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 524.535 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 524.536 * * * * [progress]: [ 1719 / 5906 ] simplifiying candidate # 524.536 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 524.536 * * [simplify]: iters left: 6 (47 enodes) 524.548 * * [simplify]: iters left: 5 (227 enodes) 524.600 * * [simplify]: Extracting #0: cost 1 inf + 0 524.600 * * [simplify]: Extracting #1: cost 3 inf + 0 524.600 * * [simplify]: Extracting #2: cost 10 inf + 0 524.600 * * [simplify]: Extracting #3: cost 66 inf + 0 524.600 * * [simplify]: Extracting #4: cost 117 inf + 44 524.601 * * [simplify]: Extracting #5: cost 153 inf + 1186 524.602 * * [simplify]: Extracting #6: cost 210 inf + 3057 524.603 * * [simplify]: Extracting #7: cost 183 inf + 7413 524.607 * * [simplify]: Extracting #8: cost 135 inf + 21577 524.613 * * [simplify]: Extracting #9: cost 89 inf + 40830 524.623 * * [simplify]: Extracting #10: cost 38 inf + 58810 524.635 * * [simplify]: Extracting #11: cost 16 inf + 76360 524.652 * * [simplify]: Extracting #12: cost 3 inf + 90125 524.672 * * [simplify]: Extracting #13: cost 1 inf + 93655 524.690 * * [simplify]: Extracting #14: cost 0 inf + 95440 524.708 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 524.709 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 524.709 * * * * [progress]: [ 1720 / 5906 ] simplifiying candidate # 524.709 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 524.710 * * [simplify]: iters left: 6 (52 enodes) 524.723 * * [simplify]: iters left: 5 (255 enodes) 524.779 * * [simplify]: Extracting #0: cost 1 inf + 0 524.779 * * [simplify]: Extracting #1: cost 3 inf + 0 524.779 * * [simplify]: Extracting #2: cost 10 inf + 0 524.779 * * [simplify]: Extracting #3: cost 74 inf + 0 524.779 * * [simplify]: Extracting #4: cost 137 inf + 1 524.779 * * [simplify]: Extracting #5: cost 190 inf + 207 524.780 * * [simplify]: Extracting #6: cost 235 inf + 2908 524.783 * * [simplify]: Extracting #7: cost 186 inf + 14029 524.789 * * [simplify]: Extracting #8: cost 112 inf + 41249 524.800 * * [simplify]: Extracting #9: cost 47 inf + 67986 524.817 * * [simplify]: Extracting #10: cost 8 inf + 106281 524.841 * * [simplify]: Extracting #11: cost 1 inf + 114056 524.863 * * [simplify]: Extracting #12: cost 0 inf + 116081 524.886 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 524.886 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 524.886 * * * * [progress]: [ 1721 / 5906 ] simplifiying candidate # 524.886 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 524.887 * * [simplify]: iters left: 6 (47 enodes) 524.901 * * [simplify]: iters left: 5 (227 enodes) 524.948 * * [simplify]: Extracting #0: cost 1 inf + 0 524.949 * * [simplify]: Extracting #1: cost 3 inf + 0 524.949 * * [simplify]: Extracting #2: cost 10 inf + 0 524.949 * * [simplify]: Extracting #3: cost 65 inf + 0 524.949 * * [simplify]: Extracting #4: cost 116 inf + 86 524.950 * * [simplify]: Extracting #5: cost 149 inf + 1634 524.951 * * [simplify]: Extracting #6: cost 210 inf + 3017 524.952 * * [simplify]: Extracting #7: cost 186 inf + 7007 524.956 * * [simplify]: Extracting #8: cost 136 inf + 21493 524.962 * * [simplify]: Extracting #9: cost 88 inf + 41255 524.971 * * [simplify]: Extracting #10: cost 39 inf + 58665 524.983 * * [simplify]: Extracting #11: cost 16 inf + 76760 525.002 * * [simplify]: Extracting #12: cost 3 inf + 90525 525.020 * * [simplify]: Extracting #13: cost 1 inf + 94055 525.038 * * [simplify]: Extracting #14: cost 0 inf + 95840 525.057 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) 525.057 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 525.057 * * * * [progress]: [ 1722 / 5906 ] simplifiying candidate # 525.058 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 525.058 * * [simplify]: iters left: 6 (52 enodes) 525.071 * * [simplify]: iters left: 5 (255 enodes) 525.128 * * [simplify]: Extracting #0: cost 1 inf + 0 525.128 * * [simplify]: Extracting #1: cost 3 inf + 0 525.128 * * [simplify]: Extracting #2: cost 6 inf + 0 525.128 * * [simplify]: Extracting #3: cost 56 inf + 0 525.128 * * [simplify]: Extracting #4: cost 130 inf + 0 525.128 * * [simplify]: Extracting #5: cost 209 inf + 0 525.129 * * [simplify]: Extracting #6: cost 289 inf + 257 525.130 * * [simplify]: Extracting #7: cost 246 inf + 7222 525.134 * * [simplify]: Extracting #8: cost 164 inf + 25458 525.141 * * [simplify]: Extracting #9: cost 99 inf + 46825 525.154 * * [simplify]: Extracting #10: cost 57 inf + 65396 525.173 * * [simplify]: Extracting #11: cost 12 inf + 111679 525.197 * * [simplify]: Extracting #12: cost 0 inf + 124779 525.222 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 525.222 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 525.223 * * * * [progress]: [ 1723 / 5906 ] simplifiying candidate # 525.223 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 525.223 * * [simplify]: iters left: 6 (53 enodes) 525.237 * * [simplify]: iters left: 5 (264 enodes) 525.296 * * [simplify]: Extracting #0: cost 1 inf + 0 525.296 * * [simplify]: Extracting #1: cost 3 inf + 0 525.296 * * [simplify]: Extracting #2: cost 6 inf + 0 525.296 * * [simplify]: Extracting #3: cost 60 inf + 0 525.296 * * [simplify]: Extracting #4: cost 153 inf + 0 525.297 * * [simplify]: Extracting #5: cost 223 inf + 44 525.298 * * [simplify]: Extracting #6: cost 265 inf + 4237 525.300 * * [simplify]: Extracting #7: cost 222 inf + 12090 525.305 * * [simplify]: Extracting #8: cost 142 inf + 31780 525.317 * * [simplify]: Extracting #9: cost 70 inf + 59891 525.331 * * [simplify]: Extracting #10: cost 38 inf + 84048 525.352 * * [simplify]: Extracting #11: cost 7 inf + 116941 525.377 * * [simplify]: Extracting #12: cost 0 inf + 127516 525.402 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 525.402 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 525.403 * * * * [progress]: [ 1724 / 5906 ] simplifiying candidate # 525.403 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 525.404 * * [simplify]: iters left: 6 (53 enodes) 525.419 * * [simplify]: iters left: 5 (264 enodes) 525.482 * * [simplify]: Extracting #0: cost 1 inf + 0 525.482 * * [simplify]: Extracting #1: cost 3 inf + 0 525.482 * * [simplify]: Extracting #2: cost 6 inf + 0 525.482 * * [simplify]: Extracting #3: cost 62 inf + 0 525.482 * * [simplify]: Extracting #4: cost 151 inf + 0 525.483 * * [simplify]: Extracting #5: cost 219 inf + 44 525.484 * * [simplify]: Extracting #6: cost 258 inf + 4962 525.486 * * [simplify]: Extracting #7: cost 230 inf + 10307 525.492 * * [simplify]: Extracting #8: cost 171 inf + 20942 525.499 * * [simplify]: Extracting #9: cost 101 inf + 48972 525.511 * * [simplify]: Extracting #10: cost 46 inf + 74918 525.530 * * [simplify]: Extracting #11: cost 17 inf + 104443 525.553 * * [simplify]: Extracting #12: cost 0 inf + 125188 525.578 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 525.578 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 525.579 * * * * [progress]: [ 1725 / 5906 ] simplifiying candidate # 525.579 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 525.579 * * [simplify]: iters left: 6 (47 enodes) 525.592 * * [simplify]: iters left: 5 (228 enodes) 525.640 * * [simplify]: Extracting #0: cost 1 inf + 0 525.640 * * [simplify]: Extracting #1: cost 3 inf + 0 525.640 * * [simplify]: Extracting #2: cost 6 inf + 0 525.640 * * [simplify]: Extracting #3: cost 54 inf + 0 525.641 * * [simplify]: Extracting #4: cost 119 inf + 0 525.641 * * [simplify]: Extracting #5: cost 167 inf + 44 525.642 * * [simplify]: Extracting #6: cost 224 inf + 1801 525.643 * * [simplify]: Extracting #7: cost 209 inf + 4603 525.645 * * [simplify]: Extracting #8: cost 174 inf + 9115 525.650 * * [simplify]: Extracting #9: cost 114 inf + 30078 525.661 * * [simplify]: Extracting #10: cost 49 inf + 57309 525.677 * * [simplify]: Extracting #11: cost 4 inf + 95507 525.697 * * [simplify]: Extracting #12: cost 1 inf + 100182 525.718 * * [simplify]: Extracting #13: cost 0 inf + 102087 525.738 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 525.738 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 525.739 * * * * [progress]: [ 1726 / 5906 ] simplifiying candidate # 525.739 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 525.739 * * [simplify]: iters left: 6 (52 enodes) 525.754 * * [simplify]: iters left: 5 (256 enodes) 525.810 * * [simplify]: Extracting #0: cost 1 inf + 0 525.810 * * [simplify]: Extracting #1: cost 3 inf + 0 525.810 * * [simplify]: Extracting #2: cost 10 inf + 0 525.810 * * [simplify]: Extracting #3: cost 74 inf + 0 525.810 * * [simplify]: Extracting #4: cost 137 inf + 1 525.811 * * [simplify]: Extracting #5: cost 189 inf + 207 525.812 * * [simplify]: Extracting #6: cost 246 inf + 3333 525.813 * * [simplify]: Extracting #7: cost 210 inf + 9335 525.817 * * [simplify]: Extracting #8: cost 157 inf + 21123 525.825 * * [simplify]: Extracting #9: cost 103 inf + 43045 525.836 * * [simplify]: Extracting #10: cost 53 inf + 64293 525.848 * * [simplify]: Extracting #11: cost 31 inf + 80243 525.869 * * [simplify]: Extracting #12: cost 4 inf + 110918 525.892 * * [simplify]: Extracting #13: cost 1 inf + 117073 525.915 * * [simplify]: Extracting #14: cost 0 inf + 119178 525.940 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 525.940 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 525.941 * * * * [progress]: [ 1727 / 5906 ] simplifiying candidate # 525.941 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 525.941 * * [simplify]: iters left: 6 (47 enodes) 525.953 * * [simplify]: iters left: 5 (228 enodes) 526.002 * * [simplify]: Extracting #0: cost 1 inf + 0 526.002 * * [simplify]: Extracting #1: cost 3 inf + 0 526.002 * * [simplify]: Extracting #2: cost 10 inf + 0 526.002 * * [simplify]: Extracting #3: cost 66 inf + 0 526.003 * * [simplify]: Extracting #4: cost 117 inf + 44 526.003 * * [simplify]: Extracting #5: cost 152 inf + 1186 526.004 * * [simplify]: Extracting #6: cost 216 inf + 2932 526.005 * * [simplify]: Extracting #7: cost 211 inf + 3994 526.008 * * [simplify]: Extracting #8: cost 145 inf + 17851 526.016 * * [simplify]: Extracting #9: cost 59 inf + 51862 526.031 * * [simplify]: Extracting #10: cost 12 inf + 85379 526.050 * * [simplify]: Extracting #11: cost 1 inf + 96152 526.070 * * [simplify]: Extracting #12: cost 0 inf + 97977 526.090 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 526.090 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 526.495 * * * * [progress]: [ 1728 / 5906 ] simplifiying candidate # 526.495 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 526.496 * * [simplify]: iters left: 6 (52 enodes) 526.509 * * [simplify]: iters left: 5 (256 enodes) 526.564 * * [simplify]: Extracting #0: cost 1 inf + 0 526.564 * * [simplify]: Extracting #1: cost 3 inf + 0 526.564 * * [simplify]: Extracting #2: cost 10 inf + 0 526.564 * * [simplify]: Extracting #3: cost 74 inf + 0 526.564 * * [simplify]: Extracting #4: cost 137 inf + 1 526.565 * * [simplify]: Extracting #5: cost 189 inf + 207 526.569 * * [simplify]: Extracting #6: cost 253 inf + 1760 526.571 * * [simplify]: Extracting #7: cost 213 inf + 8489 526.574 * * [simplify]: Extracting #8: cost 157 inf + 21123 526.581 * * [simplify]: Extracting #9: cost 102 inf + 44149 526.591 * * [simplify]: Extracting #10: cost 53 inf + 65253 526.604 * * [simplify]: Extracting #11: cost 31 inf + 81203 526.624 * * [simplify]: Extracting #12: cost 4 inf + 111878 526.648 * * [simplify]: Extracting #13: cost 1 inf + 118033 526.673 * * [simplify]: Extracting #14: cost 0 inf + 120138 526.697 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 526.697 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 526.698 * * * * [progress]: [ 1729 / 5906 ] simplifiying candidate # 526.698 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 526.698 * * [simplify]: iters left: 6 (47 enodes) 526.711 * * [simplify]: iters left: 5 (228 enodes) 526.762 * * [simplify]: Extracting #0: cost 1 inf + 0 526.762 * * [simplify]: Extracting #1: cost 3 inf + 0 526.762 * * [simplify]: Extracting #2: cost 10 inf + 0 526.762 * * [simplify]: Extracting #3: cost 65 inf + 0 526.762 * * [simplify]: Extracting #4: cost 116 inf + 86 526.763 * * [simplify]: Extracting #5: cost 149 inf + 1592 526.764 * * [simplify]: Extracting #6: cost 216 inf + 2932 526.765 * * [simplify]: Extracting #7: cost 210 inf + 4236 526.768 * * [simplify]: Extracting #8: cost 144 inf + 18661 526.776 * * [simplify]: Extracting #9: cost 55 inf + 54663 526.791 * * [simplify]: Extracting #10: cost 12 inf + 85659 526.810 * * [simplify]: Extracting #11: cost 1 inf + 96472 526.829 * * [simplify]: Extracting #12: cost 0 inf + 98297 526.850 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 526.850 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 526.851 * * * * [progress]: [ 1730 / 5906 ] simplifiying candidate # 526.851 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 526.852 * * [simplify]: iters left: 6 (52 enodes) 526.865 * * [simplify]: iters left: 5 (255 enodes) 526.923 * * [simplify]: Extracting #0: cost 1 inf + 0 526.923 * * [simplify]: Extracting #1: cost 3 inf + 0 526.923 * * [simplify]: Extracting #2: cost 6 inf + 0 526.923 * * [simplify]: Extracting #3: cost 56 inf + 0 526.924 * * [simplify]: Extracting #4: cost 130 inf + 0 526.924 * * [simplify]: Extracting #5: cost 210 inf + 0 526.925 * * [simplify]: Extracting #6: cost 283 inf + 384 526.927 * * [simplify]: Extracting #7: cost 204 inf + 16022 526.933 * * [simplify]: Extracting #8: cost 138 inf + 35621 526.941 * * [simplify]: Extracting #9: cost 87 inf + 54996 526.959 * * [simplify]: Extracting #10: cost 15 inf + 108749 526.981 * * [simplify]: Extracting #11: cost 0 inf + 122564 527.006 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 527.006 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 527.007 * * * * [progress]: [ 1731 / 5906 ] simplifiying candidate # 527.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 527.007 * * [simplify]: iters left: 6 (53 enodes) 527.021 * * [simplify]: iters left: 5 (264 enodes) 527.083 * * [simplify]: Extracting #0: cost 1 inf + 0 527.083 * * [simplify]: Extracting #1: cost 3 inf + 0 527.083 * * [simplify]: Extracting #2: cost 6 inf + 0 527.083 * * [simplify]: Extracting #3: cost 60 inf + 0 527.083 * * [simplify]: Extracting #4: cost 153 inf + 0 527.084 * * [simplify]: Extracting #5: cost 225 inf + 2 527.085 * * [simplify]: Extracting #6: cost 263 inf + 3957 527.088 * * [simplify]: Extracting #7: cost 197 inf + 16186 527.095 * * [simplify]: Extracting #8: cost 114 inf + 44565 527.107 * * [simplify]: Extracting #9: cost 54 inf + 70311 527.120 * * [simplify]: Extracting #10: cost 37 inf + 80696 527.140 * * [simplify]: Extracting #11: cost 6 inf + 117071 527.164 * * [simplify]: Extracting #12: cost 0 inf + 125221 527.188 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 527.188 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 527.188 * * * * [progress]: [ 1732 / 5906 ] simplifiying candidate # 527.189 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 527.189 * * [simplify]: iters left: 6 (53 enodes) 527.202 * * [simplify]: iters left: 5 (264 enodes) 527.262 * * [simplify]: Extracting #0: cost 1 inf + 0 527.262 * * [simplify]: Extracting #1: cost 3 inf + 0 527.262 * * [simplify]: Extracting #2: cost 6 inf + 0 527.262 * * [simplify]: Extracting #3: cost 62 inf + 0 527.263 * * [simplify]: Extracting #4: cost 151 inf + 0 527.263 * * [simplify]: Extracting #5: cost 220 inf + 44 527.265 * * [simplify]: Extracting #6: cost 250 inf + 5493 527.267 * * [simplify]: Extracting #7: cost 193 inf + 16669 527.273 * * [simplify]: Extracting #8: cost 141 inf + 35271 527.282 * * [simplify]: Extracting #9: cost 92 inf + 55666 527.294 * * [simplify]: Extracting #10: cost 47 inf + 74200 527.312 * * [simplify]: Extracting #11: cost 15 inf + 104278 527.338 * * [simplify]: Extracting #12: cost 0 inf + 122893 527.361 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 527.361 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 527.362 * * * * [progress]: [ 1733 / 5906 ] simplifiying candidate # 527.362 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 527.362 * * [simplify]: iters left: 6 (47 enodes) 527.374 * * [simplify]: iters left: 5 (228 enodes) 527.426 * * [simplify]: Extracting #0: cost 1 inf + 0 527.426 * * [simplify]: Extracting #1: cost 3 inf + 0 527.426 * * [simplify]: Extracting #2: cost 6 inf + 0 527.426 * * [simplify]: Extracting #3: cost 54 inf + 0 527.426 * * [simplify]: Extracting #4: cost 119 inf + 0 527.426 * * [simplify]: Extracting #5: cost 168 inf + 44 527.427 * * [simplify]: Extracting #6: cost 222 inf + 1561 527.429 * * [simplify]: Extracting #7: cost 178 inf + 8633 527.434 * * [simplify]: Extracting #8: cost 111 inf + 30918 527.443 * * [simplify]: Extracting #9: cost 56 inf + 54835 527.458 * * [simplify]: Extracting #10: cost 6 inf + 92335 527.477 * * [simplify]: Extracting #11: cost 1 inf + 98007 527.499 * * [simplify]: Extracting #12: cost 0 inf + 99872 527.518 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 527.518 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 527.518 * * * * [progress]: [ 1734 / 5906 ] simplifiying candidate # 527.519 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 527.519 * * [simplify]: iters left: 6 (52 enodes) 527.532 * * [simplify]: iters left: 5 (256 enodes) 527.590 * * [simplify]: Extracting #0: cost 1 inf + 0 527.590 * * [simplify]: Extracting #1: cost 3 inf + 0 527.590 * * [simplify]: Extracting #2: cost 10 inf + 0 527.590 * * [simplify]: Extracting #3: cost 74 inf + 0 527.590 * * [simplify]: Extracting #4: cost 137 inf + 1 527.591 * * [simplify]: Extracting #5: cost 190 inf + 207 527.592 * * [simplify]: Extracting #6: cost 230 inf + 4560 527.594 * * [simplify]: Extracting #7: cost 186 inf + 13791 527.599 * * [simplify]: Extracting #8: cost 140 inf + 27151 527.606 * * [simplify]: Extracting #9: cost 94 inf + 47426 527.616 * * [simplify]: Extracting #10: cost 49 inf + 66698 527.634 * * [simplify]: Extracting #11: cost 7 inf + 104668 527.657 * * [simplify]: Extracting #12: cost 1 inf + 113418 527.680 * * [simplify]: Extracting #13: cost 0 inf + 115443 527.702 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 527.702 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 527.703 * * * * [progress]: [ 1735 / 5906 ] simplifiying candidate # 527.703 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 527.704 * * [simplify]: iters left: 6 (47 enodes) 527.715 * * [simplify]: iters left: 5 (228 enodes) 527.765 * * [simplify]: Extracting #0: cost 1 inf + 0 527.765 * * [simplify]: Extracting #1: cost 3 inf + 0 527.765 * * [simplify]: Extracting #2: cost 10 inf + 0 527.765 * * [simplify]: Extracting #3: cost 66 inf + 0 527.765 * * [simplify]: Extracting #4: cost 117 inf + 44 527.766 * * [simplify]: Extracting #5: cost 153 inf + 1186 527.767 * * [simplify]: Extracting #6: cost 211 inf + 3017 527.768 * * [simplify]: Extracting #7: cost 186 inf + 7167 527.773 * * [simplify]: Extracting #8: cost 107 inf + 30837 527.782 * * [simplify]: Extracting #9: cost 47 inf + 55779 527.795 * * [simplify]: Extracting #10: cost 16 inf + 79308 527.812 * * [simplify]: Extracting #11: cost 3 inf + 92447 527.833 * * [simplify]: Extracting #12: cost 1 inf + 96137 527.851 * * [simplify]: Extracting #13: cost 0 inf + 98002 527.870 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 527.870 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 527.871 * * * * [progress]: [ 1736 / 5906 ] simplifiying candidate # 527.871 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 527.871 * * [simplify]: iters left: 6 (52 enodes) 527.884 * * [simplify]: iters left: 5 (256 enodes) 527.942 * * [simplify]: Extracting #0: cost 1 inf + 0 527.942 * * [simplify]: Extracting #1: cost 3 inf + 0 527.942 * * [simplify]: Extracting #2: cost 10 inf + 0 527.942 * * [simplify]: Extracting #3: cost 74 inf + 0 527.942 * * [simplify]: Extracting #4: cost 137 inf + 1 527.943 * * [simplify]: Extracting #5: cost 190 inf + 207 527.944 * * [simplify]: Extracting #6: cost 237 inf + 2907 527.946 * * [simplify]: Extracting #7: cost 190 inf + 12621 527.950 * * [simplify]: Extracting #8: cost 140 inf + 27471 527.959 * * [simplify]: Extracting #9: cost 93 inf + 48450 527.969 * * [simplify]: Extracting #10: cost 49 inf + 67658 527.987 * * [simplify]: Extracting #11: cost 7 inf + 105628 528.011 * * [simplify]: Extracting #12: cost 1 inf + 114378 528.033 * * [simplify]: Extracting #13: cost 0 inf + 116403 528.055 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 528.055 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 528.056 * * * * [progress]: [ 1737 / 5906 ] simplifiying candidate # 528.056 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 528.057 * * [simplify]: iters left: 6 (47 enodes) 528.068 * * [simplify]: iters left: 5 (228 enodes) 528.118 * * [simplify]: Extracting #0: cost 1 inf + 0 528.118 * * [simplify]: Extracting #1: cost 3 inf + 0 528.118 * * [simplify]: Extracting #2: cost 10 inf + 0 528.118 * * [simplify]: Extracting #3: cost 65 inf + 0 528.118 * * [simplify]: Extracting #4: cost 116 inf + 86 528.119 * * [simplify]: Extracting #5: cost 150 inf + 1592 528.119 * * [simplify]: Extracting #6: cost 211 inf + 3017 528.121 * * [simplify]: Extracting #7: cost 183 inf + 8132 528.126 * * [simplify]: Extracting #8: cost 100 inf + 33690 528.135 * * [simplify]: Extracting #9: cost 47 inf + 57313 528.148 * * [simplify]: Extracting #10: cost 18 inf + 78100 528.167 * * [simplify]: Extracting #11: cost 3 inf + 92847 528.185 * * [simplify]: Extracting #12: cost 1 inf + 96537 528.204 * * [simplify]: Extracting #13: cost 0 inf + 98402 528.223 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 528.223 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 528.224 * * * * [progress]: [ 1738 / 5906 ] simplifiying candidate # 528.224 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 528.224 * * [simplify]: iters left: 6 (47 enodes) 528.236 * * [simplify]: iters left: 5 (231 enodes) 528.290 * * [simplify]: Extracting #0: cost 1 inf + 0 528.290 * * [simplify]: Extracting #1: cost 3 inf + 0 528.290 * * [simplify]: Extracting #2: cost 6 inf + 0 528.290 * * [simplify]: Extracting #3: cost 52 inf + 0 528.290 * * [simplify]: Extracting #4: cost 118 inf + 0 528.291 * * [simplify]: Extracting #5: cost 187 inf + 0 528.291 * * [simplify]: Extracting #6: cost 266 inf + 169 528.293 * * [simplify]: Extracting #7: cost 218 inf + 8475 528.298 * * [simplify]: Extracting #8: cost 109 inf + 37037 528.308 * * [simplify]: Extracting #9: cost 48 inf + 61270 528.325 * * [simplify]: Extracting #10: cost 8 inf + 95005 528.347 * * [simplify]: Extracting #11: cost 0 inf + 104005 528.368 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 528.368 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 528.368 * * * * [progress]: [ 1739 / 5906 ] simplifiying candidate # 528.369 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 528.369 * * [simplify]: iters left: 6 (48 enodes) 528.381 * * [simplify]: iters left: 5 (240 enodes) 528.436 * * [simplify]: Extracting #0: cost 1 inf + 0 528.436 * * [simplify]: Extracting #1: cost 3 inf + 0 528.436 * * [simplify]: Extracting #2: cost 6 inf + 0 528.436 * * [simplify]: Extracting #3: cost 56 inf + 0 528.437 * * [simplify]: Extracting #4: cost 141 inf + 0 528.437 * * [simplify]: Extracting #5: cost 195 inf + 412 528.438 * * [simplify]: Extracting #6: cost 237 inf + 5288 528.441 * * [simplify]: Extracting #7: cost 208 inf + 12575 528.444 * * [simplify]: Extracting #8: cost 154 inf + 21634 528.451 * * [simplify]: Extracting #9: cost 87 inf + 46195 528.463 * * [simplify]: Extracting #10: cost 39 inf + 68727 528.480 * * [simplify]: Extracting #11: cost 4 inf + 100602 528.503 * * [simplify]: Extracting #12: cost 0 inf + 105782 528.524 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 528.524 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 528.524 * * * * [progress]: [ 1740 / 5906 ] simplifiying candidate # 528.525 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 528.525 * * [simplify]: iters left: 6 (48 enodes) 528.537 * * [simplify]: iters left: 5 (240 enodes) 528.595 * * [simplify]: Extracting #0: cost 1 inf + 0 528.595 * * [simplify]: Extracting #1: cost 3 inf + 0 528.595 * * [simplify]: Extracting #2: cost 6 inf + 0 528.595 * * [simplify]: Extracting #3: cost 58 inf + 0 528.595 * * [simplify]: Extracting #4: cost 139 inf + 0 528.596 * * [simplify]: Extracting #5: cost 194 inf + 168 528.597 * * [simplify]: Extracting #6: cost 241 inf + 3793 528.599 * * [simplify]: Extracting #7: cost 214 inf + 10825 528.603 * * [simplify]: Extracting #8: cost 145 inf + 25921 528.613 * * [simplify]: Extracting #9: cost 52 inf + 63012 528.631 * * [simplify]: Extracting #10: cost 5 inf + 101009 528.653 * * [simplify]: Extracting #11: cost 0 inf + 107414 528.676 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) 528.676 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 528.677 * * * * [progress]: [ 1741 / 5906 ] simplifiying candidate # 528.677 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 528.677 * * [simplify]: iters left: 6 (42 enodes) 528.688 * * [simplify]: iters left: 5 (204 enodes) 528.731 * * [simplify]: Extracting #0: cost 1 inf + 0 528.731 * * [simplify]: Extracting #1: cost 3 inf + 0 528.731 * * [simplify]: Extracting #2: cost 6 inf + 0 528.731 * * [simplify]: Extracting #3: cost 50 inf + 0 528.732 * * [simplify]: Extracting #4: cost 107 inf + 0 528.732 * * [simplify]: Extracting #5: cost 145 inf + 44 528.733 * * [simplify]: Extracting #6: cost 208 inf + 1112 528.734 * * [simplify]: Extracting #7: cost 194 inf + 4279 528.737 * * [simplify]: Extracting #8: cost 123 inf + 20291 528.748 * * [simplify]: Extracting #9: cost 52 inf + 49169 528.763 * * [simplify]: Extracting #10: cost 5 inf + 78401 528.780 * * [simplify]: Extracting #11: cost 1 inf + 81688 528.796 * * [simplify]: Extracting #12: cost 0 inf + 83233 528.814 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) 528.814 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 528.814 * * * * [progress]: [ 1742 / 5906 ] simplifiying candidate # 528.814 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 528.815 * * [simplify]: iters left: 6 (47 enodes) 528.827 * * [simplify]: iters left: 5 (232 enodes) 528.879 * * [simplify]: Extracting #0: cost 1 inf + 0 528.879 * * [simplify]: Extracting #1: cost 3 inf + 0 528.879 * * [simplify]: Extracting #2: cost 10 inf + 0 528.880 * * [simplify]: Extracting #3: cost 70 inf + 0 528.880 * * [simplify]: Extracting #4: cost 124 inf + 42 528.880 * * [simplify]: Extracting #5: cost 165 inf + 290 528.881 * * [simplify]: Extracting #6: cost 231 inf + 1999 528.883 * * [simplify]: Extracting #7: cost 208 inf + 6661 528.886 * * [simplify]: Extracting #8: cost 151 inf + 17609 528.893 * * [simplify]: Extracting #9: cost 81 inf + 45721 528.908 * * [simplify]: Extracting #10: cost 9 inf + 87819 528.930 * * [simplify]: Extracting #11: cost 0 inf + 97804 528.950 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 528.950 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 528.951 * * * * [progress]: [ 1743 / 5906 ] simplifiying candidate # 528.951 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 528.951 * * [simplify]: iters left: 6 (42 enodes) 528.962 * * [simplify]: iters left: 5 (204 enodes) 529.008 * * [simplify]: Extracting #0: cost 1 inf + 0 529.008 * * [simplify]: Extracting #1: cost 3 inf + 0 529.008 * * [simplify]: Extracting #2: cost 10 inf + 0 529.009 * * [simplify]: Extracting #3: cost 62 inf + 0 529.009 * * [simplify]: Extracting #4: cost 104 inf + 86 529.009 * * [simplify]: Extracting #5: cost 128 inf + 1350 529.010 * * [simplify]: Extracting #6: cost 195 inf + 2932 529.011 * * [simplify]: Extracting #7: cost 187 inf + 5526 529.015 * * [simplify]: Extracting #8: cost 117 inf + 21579 529.022 * * [simplify]: Extracting #9: cost 60 inf + 41992 529.036 * * [simplify]: Extracting #10: cost 10 inf + 72351 529.056 * * [simplify]: Extracting #11: cost 0 inf + 80043 529.073 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 529.073 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 529.073 * * * * [progress]: [ 1744 / 5906 ] simplifiying candidate # 529.074 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 529.074 * * [simplify]: iters left: 6 (47 enodes) 529.086 * * [simplify]: iters left: 5 (232 enodes) 529.137 * * [simplify]: Extracting #0: cost 1 inf + 0 529.137 * * [simplify]: Extracting #1: cost 3 inf + 0 529.137 * * [simplify]: Extracting #2: cost 10 inf + 0 529.138 * * [simplify]: Extracting #3: cost 70 inf + 0 529.138 * * [simplify]: Extracting #4: cost 124 inf + 42 529.138 * * [simplify]: Extracting #5: cost 164 inf + 332 529.139 * * [simplify]: Extracting #6: cost 225 inf + 3292 529.141 * * [simplify]: Extracting #7: cost 208 inf + 6661 529.144 * * [simplify]: Extracting #8: cost 152 inf + 17357 529.151 * * [simplify]: Extracting #9: cost 83 inf + 46033 529.166 * * [simplify]: Extracting #10: cost 13 inf + 84159 529.187 * * [simplify]: Extracting #11: cost 0 inf + 98764 529.207 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 529.207 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 529.208 * * * * [progress]: [ 1745 / 5906 ] simplifiying candidate # 529.208 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 529.209 * * [simplify]: iters left: 6 (42 enodes) 529.219 * * [simplify]: iters left: 5 (204 enodes) 529.264 * * [simplify]: Extracting #0: cost 1 inf + 0 529.264 * * [simplify]: Extracting #1: cost 3 inf + 0 529.264 * * [simplify]: Extracting #2: cost 10 inf + 0 529.264 * * [simplify]: Extracting #3: cost 61 inf + 0 529.264 * * [simplify]: Extracting #4: cost 104 inf + 86 529.265 * * [simplify]: Extracting #5: cost 127 inf + 1432 529.266 * * [simplify]: Extracting #6: cost 195 inf + 2932 529.267 * * [simplify]: Extracting #7: cost 188 inf + 5364 529.270 * * [simplify]: Extracting #8: cost 117 inf + 22157 529.281 * * [simplify]: Extracting #9: cost 47 inf + 52993 529.295 * * [simplify]: Extracting #10: cost 7 inf + 74445 529.311 * * [simplify]: Extracting #11: cost 0 inf + 80283 529.327 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 529.327 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 529.328 * * * * [progress]: [ 1746 / 5906 ] simplifiying candidate # 529.328 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 529.328 * * [simplify]: iters left: 6 (47 enodes) 529.340 * * [simplify]: iters left: 5 (230 enodes) 529.393 * * [simplify]: Extracting #0: cost 1 inf + 0 529.393 * * [simplify]: Extracting #1: cost 3 inf + 0 529.393 * * [simplify]: Extracting #2: cost 6 inf + 0 529.393 * * [simplify]: Extracting #3: cost 52 inf + 0 529.394 * * [simplify]: Extracting #4: cost 118 inf + 0 529.394 * * [simplify]: Extracting #5: cost 190 inf + 0 529.394 * * [simplify]: Extracting #6: cost 262 inf + 127 529.396 * * [simplify]: Extracting #7: cost 231 inf + 4760 529.399 * * [simplify]: Extracting #8: cost 130 inf + 27015 529.408 * * [simplify]: Extracting #9: cost 51 inf + 58963 529.427 * * [simplify]: Extracting #10: cost 13 inf + 90553 529.448 * * [simplify]: Extracting #11: cost 0 inf + 104196 529.469 * * [simplify]: Extracting #12: cost 0 inf + 103556 529.489 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 529.489 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 529.490 * * * * [progress]: [ 1747 / 5906 ] simplifiying candidate # 529.490 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 529.490 * * [simplify]: iters left: 6 (48 enodes) 529.503 * * [simplify]: iters left: 5 (239 enodes) 529.556 * * [simplify]: Extracting #0: cost 1 inf + 0 529.556 * * [simplify]: Extracting #1: cost 3 inf + 0 529.556 * * [simplify]: Extracting #2: cost 6 inf + 0 529.556 * * [simplify]: Extracting #3: cost 56 inf + 0 529.557 * * [simplify]: Extracting #4: cost 141 inf + 0 529.557 * * [simplify]: Extracting #5: cost 199 inf + 412 529.559 * * [simplify]: Extracting #6: cost 225 inf + 6945 529.561 * * [simplify]: Extracting #7: cost 202 inf + 11128 529.565 * * [simplify]: Extracting #8: cost 125 inf + 30677 529.575 * * [simplify]: Extracting #9: cost 56 inf + 59431 529.594 * * [simplify]: Extracting #10: cost 5 inf + 98928 529.614 * * [simplify]: Extracting #11: cost 0 inf + 104253 529.634 * * [simplify]: Extracting #12: cost 0 inf + 104173 529.654 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 529.654 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 529.655 * * * * [progress]: [ 1748 / 5906 ] simplifiying candidate # 529.655 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 529.655 * * [simplify]: iters left: 6 (48 enodes) 529.668 * * [simplify]: iters left: 5 (239 enodes) 529.724 * * [simplify]: Extracting #0: cost 1 inf + 0 529.724 * * [simplify]: Extracting #1: cost 3 inf + 0 529.724 * * [simplify]: Extracting #2: cost 6 inf + 0 529.724 * * [simplify]: Extracting #3: cost 58 inf + 0 529.724 * * [simplify]: Extracting #4: cost 139 inf + 0 529.725 * * [simplify]: Extracting #5: cost 195 inf + 332 529.726 * * [simplify]: Extracting #6: cost 237 inf + 3915 529.728 * * [simplify]: Extracting #7: cost 208 inf + 10327 529.733 * * [simplify]: Extracting #8: cost 128 inf + 29993 529.742 * * [simplify]: Extracting #9: cost 52 inf + 61144 529.759 * * [simplify]: Extracting #10: cost 7 inf + 95790 529.781 * * [simplify]: Extracting #11: cost 0 inf + 103125 529.801 * * [simplify]: Extracting #12: cost 0 inf + 103045 529.821 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) 529.821 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 529.822 * * * * [progress]: [ 1749 / 5906 ] simplifiying candidate # 529.822 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 529.822 * * [simplify]: iters left: 6 (42 enodes) 529.833 * * [simplify]: iters left: 5 (203 enodes) 529.878 * * [simplify]: Extracting #0: cost 1 inf + 0 529.878 * * [simplify]: Extracting #1: cost 3 inf + 0 529.878 * * [simplify]: Extracting #2: cost 6 inf + 0 529.878 * * [simplify]: Extracting #3: cost 50 inf + 0 529.878 * * [simplify]: Extracting #4: cost 107 inf + 0 529.878 * * [simplify]: Extracting #5: cost 147 inf + 86 529.879 * * [simplify]: Extracting #6: cost 202 inf + 1275 529.880 * * [simplify]: Extracting #7: cost 185 inf + 4888 529.882 * * [simplify]: Extracting #8: cost 139 inf + 11141 529.888 * * [simplify]: Extracting #9: cost 80 inf + 33457 529.897 * * [simplify]: Extracting #10: cost 34 inf + 52627 529.911 * * [simplify]: Extracting #11: cost 8 inf + 73464 529.927 * * [simplify]: Extracting #12: cost 1 inf + 80159 529.946 * * [simplify]: Extracting #13: cost 0 inf + 81744 529.963 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 529.963 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 529.963 * * * * [progress]: [ 1750 / 5906 ] simplifiying candidate # 529.963 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 529.964 * * [simplify]: iters left: 6 (47 enodes) 529.976 * * [simplify]: iters left: 5 (231 enodes) 530.031 * * [simplify]: Extracting #0: cost 1 inf + 0 530.031 * * [simplify]: Extracting #1: cost 3 inf + 0 530.031 * * [simplify]: Extracting #2: cost 10 inf + 0 530.031 * * [simplify]: Extracting #3: cost 70 inf + 0 530.031 * * [simplify]: Extracting #4: cost 124 inf + 42 530.031 * * [simplify]: Extracting #5: cost 168 inf + 290 530.032 * * [simplify]: Extracting #6: cost 219 inf + 3052 530.034 * * [simplify]: Extracting #7: cost 205 inf + 6460 530.036 * * [simplify]: Extracting #8: cost 147 inf + 17632 530.044 * * [simplify]: Extracting #9: cost 70 inf + 51199 530.059 * * [simplify]: Extracting #10: cost 8 inf + 87155 530.078 * * [simplify]: Extracting #11: cost 1 inf + 94450 530.097 * * [simplify]: Extracting #12: cost 0 inf + 96195 530.118 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 530.118 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 530.118 * * * * [progress]: [ 1751 / 5906 ] simplifiying candidate # 530.119 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 530.119 * * [simplify]: iters left: 6 (42 enodes) 530.129 * * [simplify]: iters left: 5 (203 enodes) 530.172 * * [simplify]: Extracting #0: cost 1 inf + 0 530.172 * * [simplify]: Extracting #1: cost 3 inf + 0 530.172 * * [simplify]: Extracting #2: cost 10 inf + 0 530.172 * * [simplify]: Extracting #3: cost 62 inf + 0 530.172 * * [simplify]: Extracting #4: cost 103 inf + 208 530.173 * * [simplify]: Extracting #5: cost 126 inf + 2121 530.174 * * [simplify]: Extracting #6: cost 190 inf + 2932 530.175 * * [simplify]: Extracting #7: cost 187 inf + 4278 530.177 * * [simplify]: Extracting #8: cost 113 inf + 18629 530.184 * * [simplify]: Extracting #9: cost 53 inf + 43186 530.200 * * [simplify]: Extracting #10: cost 3 inf + 74500 530.215 * * [simplify]: Extracting #11: cost 0 inf + 78114 530.231 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 530.231 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 530.231 * * * * [progress]: [ 1752 / 5906 ] simplifiying candidate # 530.232 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 530.232 * * [simplify]: iters left: 6 (47 enodes) 530.244 * * [simplify]: iters left: 5 (231 enodes) 530.297 * * [simplify]: Extracting #0: cost 1 inf + 0 530.297 * * [simplify]: Extracting #1: cost 3 inf + 0 530.297 * * [simplify]: Extracting #2: cost 10 inf + 0 530.297 * * [simplify]: Extracting #3: cost 70 inf + 0 530.297 * * [simplify]: Extracting #4: cost 124 inf + 42 530.298 * * [simplify]: Extracting #5: cost 167 inf + 332 530.299 * * [simplify]: Extracting #6: cost 217 inf + 3657 530.300 * * [simplify]: Extracting #7: cost 205 inf + 6460 530.303 * * [simplify]: Extracting #8: cost 150 inf + 16844 530.311 * * [simplify]: Extracting #9: cost 69 inf + 52223 530.327 * * [simplify]: Extracting #10: cost 8 inf + 88115 530.347 * * [simplify]: Extracting #11: cost 0 inf + 97155 530.368 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 530.368 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 530.369 * * * * [progress]: [ 1753 / 5906 ] simplifiying candidate # 530.369 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 530.369 * * [simplify]: iters left: 6 (42 enodes) 530.380 * * [simplify]: iters left: 5 (203 enodes) 530.422 * * [simplify]: Extracting #0: cost 1 inf + 0 530.422 * * [simplify]: Extracting #1: cost 3 inf + 0 530.422 * * [simplify]: Extracting #2: cost 10 inf + 0 530.422 * * [simplify]: Extracting #3: cost 61 inf + 0 530.423 * * [simplify]: Extracting #4: cost 104 inf + 86 530.423 * * [simplify]: Extracting #5: cost 127 inf + 1958 530.424 * * [simplify]: Extracting #6: cost 190 inf + 2932 530.425 * * [simplify]: Extracting #7: cost 187 inf + 4278 530.428 * * [simplify]: Extracting #8: cost 114 inf + 18324 530.437 * * [simplify]: Extracting #9: cost 55 inf + 42296 530.451 * * [simplify]: Extracting #10: cost 2 inf + 75544 530.466 * * [simplify]: Extracting #11: cost 0 inf + 78514 530.482 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 530.482 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 530.482 * * * * [progress]: [ 1754 / 5906 ] simplifiying candidate # 530.482 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 530.483 * * [simplify]: iters left: 6 (47 enodes) 530.495 * * [simplify]: iters left: 5 (231 enodes) 530.548 * * [simplify]: Extracting #0: cost 1 inf + 0 530.548 * * [simplify]: Extracting #1: cost 3 inf + 0 530.548 * * [simplify]: Extracting #2: cost 6 inf + 0 530.548 * * [simplify]: Extracting #3: cost 52 inf + 0 530.548 * * [simplify]: Extracting #4: cost 118 inf + 0 530.549 * * [simplify]: Extracting #5: cost 190 inf + 0 530.549 * * [simplify]: Extracting #6: cost 255 inf + 169 530.550 * * [simplify]: Extracting #7: cost 223 inf + 5042 530.553 * * [simplify]: Extracting #8: cost 156 inf + 17298 530.558 * * [simplify]: Extracting #9: cost 105 inf + 30096 530.566 * * [simplify]: Extracting #10: cost 53 inf + 53718 530.582 * * [simplify]: Extracting #11: cost 11 inf + 88530 530.602 * * [simplify]: Extracting #12: cost 0 inf + 101304 530.625 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 530.625 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 530.625 * * * * [progress]: [ 1755 / 5906 ] simplifiying candidate # 530.626 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 530.626 * * [simplify]: iters left: 6 (48 enodes) 530.639 * * [simplify]: iters left: 5 (240 enodes) 530.696 * * [simplify]: Extracting #0: cost 1 inf + 0 530.696 * * [simplify]: Extracting #1: cost 3 inf + 0 530.696 * * [simplify]: Extracting #2: cost 6 inf + 0 530.696 * * [simplify]: Extracting #3: cost 56 inf + 0 530.697 * * [simplify]: Extracting #4: cost 141 inf + 0 530.697 * * [simplify]: Extracting #5: cost 197 inf + 576 530.699 * * [simplify]: Extracting #6: cost 214 inf + 8233 530.701 * * [simplify]: Extracting #7: cost 195 inf + 12738 530.704 * * [simplify]: Extracting #8: cost 150 inf + 20022 530.711 * * [simplify]: Extracting #9: cost 85 inf + 44508 530.721 * * [simplify]: Extracting #10: cost 43 inf + 63926 530.739 * * [simplify]: Extracting #11: cost 3 inf + 99806 530.760 * * [simplify]: Extracting #12: cost 0 inf + 103321 530.782 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) 530.782 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 530.782 * * * * [progress]: [ 1756 / 5906 ] simplifiying candidate # 530.783 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 530.783 * * [simplify]: iters left: 6 (48 enodes) 530.795 * * [simplify]: iters left: 5 (240 enodes) 530.851 * * [simplify]: Extracting #0: cost 1 inf + 0 530.851 * * [simplify]: Extracting #1: cost 3 inf + 0 530.851 * * [simplify]: Extracting #2: cost 6 inf + 0 530.852 * * [simplify]: Extracting #3: cost 58 inf + 0 530.852 * * [simplify]: Extracting #4: cost 139 inf + 0 530.852 * * [simplify]: Extracting #5: cost 195 inf + 252 530.853 * * [simplify]: Extracting #6: cost 227 inf + 4682 530.856 * * [simplify]: Extracting #7: cost 201 inf + 10909 530.860 * * [simplify]: Extracting #8: cost 122 inf + 29090 530.869 * * [simplify]: Extracting #9: cost 51 inf + 59491 530.887 * * [simplify]: Extracting #10: cost 6 inf + 96323 530.907 * * [simplify]: Extracting #11: cost 0 inf + 102353 530.927 * * [simplify]: Extracting #12: cost 0 inf + 102193 530.949 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))))) 530.950 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (* (+ phi1 phi2) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 530.950 * * * * [progress]: [ 1757 / 5906 ] simplifiying candidate # 530.950 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 530.951 * * [simplify]: iters left: 6 (42 enodes) 530.962 * * [simplify]: iters left: 5 (204 enodes) 531.007 * * [simplify]: Extracting #0: cost 1 inf + 0 531.007 * * [simplify]: Extracting #1: cost 3 inf + 0 531.007 * * [simplify]: Extracting #2: cost 6 inf + 0 531.007 * * [simplify]: Extracting #3: cost 50 inf + 0 531.007 * * [simplify]: Extracting #4: cost 107 inf + 0 531.008 * * [simplify]: Extracting #5: cost 147 inf + 85 531.008 * * [simplify]: Extracting #6: cost 196 inf + 1273 531.009 * * [simplify]: Extracting #7: cost 181 inf + 4684 531.013 * * [simplify]: Extracting #8: cost 104 inf + 22379 531.023 * * [simplify]: Extracting #9: cost 46 inf + 47175 531.036 * * [simplify]: Extracting #10: cost 9 inf + 73200 531.053 * * [simplify]: Extracting #11: cost 0 inf + 80892 531.069 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))) 531.069 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 531.070 * * * * [progress]: [ 1758 / 5906 ] simplifiying candidate # 531.070 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 531.070 * * [simplify]: iters left: 6 (47 enodes) 531.082 * * [simplify]: iters left: 5 (232 enodes) 531.135 * * [simplify]: Extracting #0: cost 1 inf + 0 531.135 * * [simplify]: Extracting #1: cost 3 inf + 0 531.135 * * [simplify]: Extracting #2: cost 10 inf + 0 531.135 * * [simplify]: Extracting #3: cost 70 inf + 0 531.135 * * [simplify]: Extracting #4: cost 124 inf + 42 531.136 * * [simplify]: Extracting #5: cost 168 inf + 290 531.136 * * [simplify]: Extracting #6: cost 218 inf + 2284 531.138 * * [simplify]: Extracting #7: cost 195 inf + 7066 531.141 * * [simplify]: Extracting #8: cost 144 inf + 16254 531.147 * * [simplify]: Extracting #9: cost 78 inf + 42851 531.157 * * [simplify]: Extracting #10: cost 36 inf + 60883 531.171 * * [simplify]: Extracting #11: cost 7 inf + 86128 531.193 * * [simplify]: Extracting #12: cost 0 inf + 95343 531.212 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 531.212 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 531.213 * * * * [progress]: [ 1759 / 5906 ] simplifiying candidate # 531.213 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 531.213 * * [simplify]: iters left: 6 (42 enodes) 531.224 * * [simplify]: iters left: 5 (204 enodes) 531.266 * * [simplify]: Extracting #0: cost 1 inf + 0 531.267 * * [simplify]: Extracting #1: cost 3 inf + 0 531.267 * * [simplify]: Extracting #2: cost 10 inf + 0 531.267 * * [simplify]: Extracting #3: cost 62 inf + 0 531.267 * * [simplify]: Extracting #4: cost 103 inf + 208 531.268 * * [simplify]: Extracting #5: cost 124 inf + 2404 531.268 * * [simplify]: Extracting #6: cost 184 inf + 2932 531.272 * * [simplify]: Extracting #7: cost 180 inf + 4520 531.274 * * [simplify]: Extracting #8: cost 137 inf + 11170 531.279 * * [simplify]: Extracting #9: cost 94 inf + 24599 531.287 * * [simplify]: Extracting #10: cost 34 inf + 48963 531.302 * * [simplify]: Extracting #11: cost 1 inf + 76517 531.318 * * [simplify]: Extracting #12: cost 0 inf + 78062 531.334 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 531.334 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 531.334 * * * * [progress]: [ 1760 / 5906 ] simplifiying candidate # 531.335 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 531.335 * * [simplify]: iters left: 6 (47 enodes) 531.347 * * [simplify]: iters left: 5 (232 enodes) 531.399 * * [simplify]: Extracting #0: cost 1 inf + 0 531.399 * * [simplify]: Extracting #1: cost 3 inf + 0 531.399 * * [simplify]: Extracting #2: cost 10 inf + 0 531.399 * * [simplify]: Extracting #3: cost 70 inf + 0 531.399 * * [simplify]: Extracting #4: cost 124 inf + 42 531.400 * * [simplify]: Extracting #5: cost 166 inf + 373 531.401 * * [simplify]: Extracting #6: cost 211 inf + 3737 531.402 * * [simplify]: Extracting #7: cost 195 inf + 7066 531.405 * * [simplify]: Extracting #8: cost 144 inf + 16254 531.411 * * [simplify]: Extracting #9: cost 76 inf + 44381 531.421 * * [simplify]: Extracting #10: cost 36 inf + 61843 531.438 * * [simplify]: Extracting #11: cost 7 inf + 87088 531.457 * * [simplify]: Extracting #12: cost 0 inf + 96303 531.476 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 531.476 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 531.477 * * * * [progress]: [ 1761 / 5906 ] simplifiying candidate # 531.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 531.477 * * [simplify]: iters left: 6 (42 enodes) 531.488 * * [simplify]: iters left: 5 (204 enodes) 531.533 * * [simplify]: Extracting #0: cost 1 inf + 0 531.533 * * [simplify]: Extracting #1: cost 3 inf + 0 531.533 * * [simplify]: Extracting #2: cost 10 inf + 0 531.533 * * [simplify]: Extracting #3: cost 61 inf + 0 531.533 * * [simplify]: Extracting #4: cost 104 inf + 86 531.534 * * [simplify]: Extracting #5: cost 129 inf + 1714 531.534 * * [simplify]: Extracting #6: cost 184 inf + 2932 531.536 * * [simplify]: Extracting #7: cost 180 inf + 4520 531.538 * * [simplify]: Extracting #8: cost 137 inf + 11170 531.541 * * [simplify]: Extracting #9: cost 95 inf + 23955 531.550 * * [simplify]: Extracting #10: cost 32 inf + 50491 531.565 * * [simplify]: Extracting #11: cost 1 inf + 76917 531.582 * * [simplify]: Extracting #12: cost 0 inf + 78462 531.599 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 531.599 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 531.599 * * * * [progress]: [ 1762 / 5906 ] simplifiying candidate # 531.600 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 531.600 * * [simplify]: iters left: 6 (36 enodes) 531.611 * * [simplify]: iters left: 5 (165 enodes) 531.645 * * [simplify]: iters left: 4 (450 enodes) 531.818 * * [simplify]: Extracting #0: cost 1 inf + 0 531.818 * * [simplify]: Extracting #1: cost 3 inf + 0 531.819 * * [simplify]: Extracting #2: cost 20 inf + 0 531.819 * * [simplify]: Extracting #3: cost 209 inf + 0 531.821 * * [simplify]: Extracting #4: cost 522 inf + 655 531.825 * * [simplify]: Extracting #5: cost 521 inf + 22187 531.834 * * [simplify]: Extracting #6: cost 465 inf + 44766 531.849 * * [simplify]: Extracting #7: cost 316 inf + 84205 531.878 * * [simplify]: Extracting #8: cost 173 inf + 143192 531.922 * * [simplify]: Extracting #9: cost 49 inf + 213522 531.978 * * [simplify]: Extracting #10: cost 0 inf + 244947 532.033 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) 532.033 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 532.033 * * * * [progress]: [ 1763 / 5906 ] simplifiying candidate # 532.034 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 532.034 * * [simplify]: iters left: 6 (37 enodes) 532.043 * * [simplify]: iters left: 5 (174 enodes) 532.082 * * [simplify]: iters left: 4 (485 enodes) 532.270 * * [simplify]: Extracting #0: cost 1 inf + 0 532.270 * * [simplify]: Extracting #1: cost 3 inf + 0 532.270 * * [simplify]: Extracting #2: cost 16 inf + 0 532.271 * * [simplify]: Extracting #3: cost 195 inf + 0 532.272 * * [simplify]: Extracting #4: cost 512 inf + 127 532.275 * * [simplify]: Extracting #5: cost 628 inf + 5000 532.281 * * [simplify]: Extracting #6: cost 555 inf + 31434 532.294 * * [simplify]: Extracting #7: cost 405 inf + 69540 532.320 * * [simplify]: Extracting #8: cost 249 inf + 126771 532.356 * * [simplify]: Extracting #9: cost 107 inf + 191708 532.407 * * [simplify]: Extracting #10: cost 17 inf + 243158 532.463 * * [simplify]: Extracting #11: cost 0 inf + 253663 532.520 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 532.520 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 532.520 * * * * [progress]: [ 1764 / 5906 ] simplifiying candidate # 532.521 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 532.521 * * [simplify]: iters left: 6 (37 enodes) 532.531 * * [simplify]: iters left: 5 (174 enodes) 532.570 * * [simplify]: iters left: 4 (483 enodes) 532.765 * * [simplify]: Extracting #0: cost 1 inf + 0 532.765 * * [simplify]: Extracting #1: cost 3 inf + 0 532.765 * * [simplify]: Extracting #2: cost 20 inf + 0 532.765 * * [simplify]: Extracting #3: cost 231 inf + 0 532.767 * * [simplify]: Extracting #4: cost 530 inf + 1103 532.770 * * [simplify]: Extracting #5: cost 567 inf + 14335 532.779 * * [simplify]: Extracting #6: cost 488 inf + 46544 532.795 * * [simplify]: Extracting #7: cost 321 inf + 94013 532.820 * * [simplify]: Extracting #8: cost 216 inf + 134962 532.863 * * [simplify]: Extracting #9: cost 47 inf + 215980 532.915 * * [simplify]: Extracting #10: cost 4 inf + 240215 532.969 * * [simplify]: Extracting #11: cost 0 inf + 242595 533.022 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2))))) 533.022 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ phi1 phi2))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 533.023 * * * * [progress]: [ 1765 / 5906 ] simplifiying candidate # 533.023 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 533.023 * * [simplify]: iters left: 6 (30 enodes) 533.031 * * [simplify]: iters left: 5 (133 enodes) 533.058 * * [simplify]: iters left: 4 (353 enodes) 533.170 * * [simplify]: Extracting #0: cost 1 inf + 0 533.170 * * [simplify]: Extracting #1: cost 3 inf + 0 533.170 * * [simplify]: Extracting #2: cost 16 inf + 0 533.170 * * [simplify]: Extracting #3: cost 135 inf + 0 533.171 * * [simplify]: Extracting #4: cost 332 inf + 126 533.173 * * [simplify]: Extracting #5: cost 366 inf + 5655 533.177 * * [simplify]: Extracting #6: cost 336 inf + 18160 533.186 * * [simplify]: Extracting #7: cost 197 inf + 51174 533.208 * * [simplify]: Extracting #8: cost 46 inf + 107527 533.240 * * [simplify]: Extracting #9: cost 4 inf + 129367 533.271 * * [simplify]: Extracting #10: cost 0 inf + 131587 533.302 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) 533.302 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (+ phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 533.302 * * * * [progress]: [ 1766 / 5906 ] simplifiying candidate # 533.302 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 533.303 * * [simplify]: iters left: 6 (36 enodes) 533.312 * * [simplify]: iters left: 5 (166 enodes) 533.346 * * [simplify]: iters left: 4 (414 enodes) 533.473 * * [simplify]: Extracting #0: cost 1 inf + 0 533.473 * * [simplify]: Extracting #1: cost 3 inf + 0 533.473 * * [simplify]: Extracting #2: cost 18 inf + 0 533.474 * * [simplify]: Extracting #3: cost 128 inf + 0 533.474 * * [simplify]: Extracting #4: cost 332 inf + 44 533.476 * * [simplify]: Extracting #5: cost 417 inf + 3445 533.479 * * [simplify]: Extracting #6: cost 386 inf + 18898 533.490 * * [simplify]: Extracting #7: cost 197 inf + 70900 533.519 * * [simplify]: Extracting #8: cost 37 inf + 140127 533.552 * * [simplify]: Extracting #9: cost 0 inf + 158751 533.587 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 533.587 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 533.587 * * * * [progress]: [ 1767 / 5906 ] simplifiying candidate # 533.587 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 533.588 * * [simplify]: iters left: 6 (30 enodes) 533.596 * * [simplify]: iters left: 5 (133 enodes) 533.621 * * [simplify]: iters left: 4 (334 enodes) 533.726 * * [simplify]: Extracting #0: cost 1 inf + 0 533.726 * * [simplify]: Extracting #1: cost 3 inf + 0 533.726 * * [simplify]: Extracting #2: cost 13 inf + 0 533.726 * * [simplify]: Extracting #3: cost 89 inf + 0 533.727 * * [simplify]: Extracting #4: cost 251 inf + 127 533.728 * * [simplify]: Extracting #5: cost 333 inf + 2896 533.731 * * [simplify]: Extracting #6: cost 323 inf + 10053 533.740 * * [simplify]: Extracting #7: cost 148 inf + 53497 533.760 * * [simplify]: Extracting #8: cost 14 inf + 100380 533.783 * * [simplify]: Extracting #9: cost 0 inf + 106826 533.807 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 533.807 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 533.808 * * * * [progress]: [ 1768 / 5906 ] simplifiying candidate # 533.808 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 533.808 * * [simplify]: iters left: 6 (36 enodes) 533.817 * * [simplify]: iters left: 5 (166 enodes) 533.851 * * [simplify]: iters left: 4 (414 enodes) 533.977 * * [simplify]: Extracting #0: cost 1 inf + 0 533.978 * * [simplify]: Extracting #1: cost 3 inf + 0 533.978 * * [simplify]: Extracting #2: cost 18 inf + 0 533.978 * * [simplify]: Extracting #3: cost 112 inf + 0 533.979 * * [simplify]: Extracting #4: cost 292 inf + 127 533.980 * * [simplify]: Extracting #5: cost 414 inf + 4926 533.984 * * [simplify]: Extracting #6: cost 384 inf + 20332 533.994 * * [simplify]: Extracting #7: cost 223 inf + 59008 534.024 * * [simplify]: Extracting #8: cost 43 inf + 135307 534.057 * * [simplify]: Extracting #9: cost 1 inf + 156921 534.092 * * [simplify]: Extracting #10: cost 0 inf + 157546 534.126 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 534.126 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 534.126 * * * * [progress]: [ 1769 / 5906 ] simplifiying candidate # 534.126 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 534.127 * * [simplify]: iters left: 6 (30 enodes) 534.134 * * [simplify]: iters left: 5 (133 enodes) 534.159 * * [simplify]: iters left: 4 (334 enodes) 534.261 * * [simplify]: Extracting #0: cost 1 inf + 0 534.261 * * [simplify]: Extracting #1: cost 3 inf + 0 534.261 * * [simplify]: Extracting #2: cost 13 inf + 0 534.261 * * [simplify]: Extracting #3: cost 86 inf + 0 534.262 * * [simplify]: Extracting #4: cost 257 inf + 208 534.263 * * [simplify]: Extracting #5: cost 335 inf + 3299 534.267 * * [simplify]: Extracting #6: cost 310 inf + 13032 534.277 * * [simplify]: Extracting #7: cost 133 inf + 56763 534.300 * * [simplify]: Extracting #8: cost 11 inf + 102062 534.323 * * [simplify]: Extracting #9: cost 0 inf + 107476 534.348 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 534.348 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 534.348 * * * * [progress]: [ 1770 / 5906 ] simplifiying candidate # 534.348 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 534.349 * * [simplify]: iters left: 6 (48 enodes) 534.361 * * [simplify]: iters left: 5 (229 enodes) 534.411 * * [simplify]: Extracting #0: cost 1 inf + 0 534.411 * * [simplify]: Extracting #1: cost 3 inf + 0 534.411 * * [simplify]: Extracting #2: cost 6 inf + 0 534.412 * * [simplify]: Extracting #3: cost 52 inf + 0 534.412 * * [simplify]: Extracting #4: cost 118 inf + 0 534.412 * * [simplify]: Extracting #5: cost 184 inf + 0 534.413 * * [simplify]: Extracting #6: cost 248 inf + 45 534.414 * * [simplify]: Extracting #7: cost 204 inf + 5093 534.418 * * [simplify]: Extracting #8: cost 111 inf + 30386 534.433 * * [simplify]: Extracting #9: cost 10 inf + 90321 534.452 * * [simplify]: Extracting #10: cost 0 inf + 101091 534.474 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 534.474 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 534.474 * * * * [progress]: [ 1771 / 5906 ] simplifiying candidate # 534.474 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 534.475 * * [simplify]: iters left: 6 (49 enodes) 534.487 * * [simplify]: iters left: 5 (238 enodes) 534.541 * * [simplify]: Extracting #0: cost 1 inf + 0 534.541 * * [simplify]: Extracting #1: cost 3 inf + 0 534.541 * * [simplify]: Extracting #2: cost 6 inf + 0 534.541 * * [simplify]: Extracting #3: cost 56 inf + 0 534.542 * * [simplify]: Extracting #4: cost 141 inf + 0 534.542 * * [simplify]: Extracting #5: cost 197 inf + 85 534.543 * * [simplify]: Extracting #6: cost 218 inf + 5607 534.545 * * [simplify]: Extracting #7: cost 188 inf + 10835 534.549 * * [simplify]: Extracting #8: cost 146 inf + 19205 534.555 * * [simplify]: Extracting #9: cost 87 inf + 42117 534.564 * * [simplify]: Extracting #10: cost 43 inf + 61793 534.580 * * [simplify]: Extracting #11: cost 7 inf + 95333 534.600 * * [simplify]: Extracting #12: cost 0 inf + 103988 534.620 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 534.620 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 534.620 * * * * [progress]: [ 1772 / 5906 ] simplifiying candidate # 534.621 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 534.621 * * [simplify]: iters left: 6 (49 enodes) 534.637 * * [simplify]: iters left: 5 (238 enodes) 534.688 * * [simplify]: Extracting #0: cost 1 inf + 0 534.688 * * [simplify]: Extracting #1: cost 3 inf + 0 534.688 * * [simplify]: Extracting #2: cost 6 inf + 0 534.688 * * [simplify]: Extracting #3: cost 58 inf + 0 534.688 * * [simplify]: Extracting #4: cost 139 inf + 0 534.689 * * [simplify]: Extracting #5: cost 192 inf + 166 534.690 * * [simplify]: Extracting #6: cost 217 inf + 4920 534.692 * * [simplify]: Extracting #7: cost 184 inf + 10756 534.698 * * [simplify]: Extracting #8: cost 128 inf + 23934 534.705 * * [simplify]: Extracting #9: cost 65 inf + 46117 534.714 * * [simplify]: Extracting #10: cost 42 inf + 59191 534.729 * * [simplify]: Extracting #11: cost 9 inf + 89875 534.748 * * [simplify]: Extracting #12: cost 0 inf + 100380 534.767 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 534.767 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 534.768 * * * * [progress]: [ 1773 / 5906 ] simplifiying candidate # 534.768 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 534.768 * * [simplify]: iters left: 6 (43 enodes) 534.779 * * [simplify]: iters left: 5 (202 enodes) 534.822 * * [simplify]: Extracting #0: cost 1 inf + 0 534.822 * * [simplify]: Extracting #1: cost 3 inf + 0 534.822 * * [simplify]: Extracting #2: cost 6 inf + 0 534.822 * * [simplify]: Extracting #3: cost 50 inf + 0 534.822 * * [simplify]: Extracting #4: cost 107 inf + 0 534.822 * * [simplify]: Extracting #5: cost 138 inf + 249 534.823 * * [simplify]: Extracting #6: cost 186 inf + 1234 534.824 * * [simplify]: Extracting #7: cost 165 inf + 5126 534.827 * * [simplify]: Extracting #8: cost 111 inf + 16788 534.833 * * [simplify]: Extracting #9: cost 61 inf + 36325 534.846 * * [simplify]: Extracting #10: cost 7 inf + 72144 534.861 * * [simplify]: Extracting #11: cost 0 inf + 79679 534.879 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 534.879 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 534.879 * * * * [progress]: [ 1774 / 5906 ] simplifiying candidate # 534.880 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 534.880 * * [simplify]: iters left: 6 (48 enodes) 534.892 * * [simplify]: iters left: 5 (230 enodes) 534.941 * * [simplify]: Extracting #0: cost 1 inf + 0 534.941 * * [simplify]: Extracting #1: cost 3 inf + 0 534.941 * * [simplify]: Extracting #2: cost 10 inf + 0 534.941 * * [simplify]: Extracting #3: cost 70 inf + 0 534.941 * * [simplify]: Extracting #4: cost 124 inf + 42 534.942 * * [simplify]: Extracting #5: cost 164 inf + 207 534.945 * * [simplify]: Extracting #6: cost 209 inf + 1962 534.947 * * [simplify]: Extracting #7: cost 192 inf + 5406 534.950 * * [simplify]: Extracting #8: cost 132 inf + 19704 534.957 * * [simplify]: Extracting #9: cost 49 inf + 52622 534.973 * * [simplify]: Extracting #10: cost 4 inf + 88470 534.991 * * [simplify]: Extracting #11: cost 0 inf + 94370 535.010 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 535.010 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 535.010 * * * * [progress]: [ 1775 / 5906 ] simplifiying candidate # 535.010 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 535.011 * * [simplify]: iters left: 6 (43 enodes) 535.021 * * [simplify]: iters left: 5 (202 enodes) 535.064 * * [simplify]: iters left: 4 (498 enodes) 535.217 * * [simplify]: Extracting #0: cost 1 inf + 0 535.217 * * [simplify]: Extracting #1: cost 3 inf + 0 535.217 * * [simplify]: Extracting #2: cost 12 inf + 0 535.218 * * [simplify]: Extracting #3: cost 110 inf + 0 535.218 * * [simplify]: Extracting #4: cost 261 inf + 85 535.220 * * [simplify]: Extracting #5: cost 350 inf + 2650 535.222 * * [simplify]: Extracting #6: cost 451 inf + 6390 535.230 * * [simplify]: Extracting #7: cost 503 inf + 14861 535.242 * * [simplify]: Extracting #8: cost 320 inf + 69632 535.271 * * [simplify]: Extracting #9: cost 135 inf + 148169 535.317 * * [simplify]: Extracting #10: cost 26 inf + 213765 535.368 * * [simplify]: Extracting #11: cost 0 inf + 232115 535.418 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 535.418 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 535.419 * * * * [progress]: [ 1776 / 5906 ] simplifiying candidate # 535.419 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 535.419 * * [simplify]: iters left: 6 (48 enodes) 535.432 * * [simplify]: iters left: 5 (230 enodes) 535.483 * * [simplify]: Extracting #0: cost 1 inf + 0 535.483 * * [simplify]: Extracting #1: cost 3 inf + 0 535.483 * * [simplify]: Extracting #2: cost 10 inf + 0 535.483 * * [simplify]: Extracting #3: cost 70 inf + 0 535.483 * * [simplify]: Extracting #4: cost 124 inf + 42 535.484 * * [simplify]: Extracting #5: cost 163 inf + 249 535.485 * * [simplify]: Extracting #6: cost 205 inf + 2769 535.486 * * [simplify]: Extracting #7: cost 190 inf + 5929 535.489 * * [simplify]: Extracting #8: cost 135 inf + 18735 535.497 * * [simplify]: Extracting #9: cost 47 inf + 54754 535.512 * * [simplify]: Extracting #10: cost 3 inf + 90455 535.530 * * [simplify]: Extracting #11: cost 0 inf + 95330 535.548 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 535.548 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 535.549 * * * * [progress]: [ 1777 / 5906 ] simplifiying candidate # 535.549 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 535.549 * * [simplify]: iters left: 6 (43 enodes) 535.561 * * [simplify]: iters left: 5 (202 enodes) 535.605 * * [simplify]: iters left: 4 (498 enodes) 535.760 * * [simplify]: Extracting #0: cost 1 inf + 0 535.760 * * [simplify]: Extracting #1: cost 3 inf + 0 535.761 * * [simplify]: Extracting #2: cost 12 inf + 0 535.761 * * [simplify]: Extracting #3: cost 107 inf + 0 535.761 * * [simplify]: Extracting #4: cost 271 inf + 85 535.767 * * [simplify]: Extracting #5: cost 362 inf + 2202 535.769 * * [simplify]: Extracting #6: cost 459 inf + 6188 535.774 * * [simplify]: Extracting #7: cost 501 inf + 18454 535.785 * * [simplify]: Extracting #8: cost 350 inf + 63503 535.812 * * [simplify]: Extracting #9: cost 153 inf + 142888 535.860 * * [simplify]: Extracting #10: cost 25 inf + 222234 535.912 * * [simplify]: Extracting #11: cost 0 inf + 235301 535.964 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 535.964 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 535.965 * * * * [progress]: [ 1778 / 5906 ] simplifiying candidate # 535.965 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 535.965 * * [simplify]: iters left: 6 (41 enodes) 535.976 * * [simplify]: iters left: 5 (190 enodes) 536.015 * * [simplify]: Extracting #0: cost 1 inf + 0 536.015 * * [simplify]: Extracting #1: cost 3 inf + 0 536.015 * * [simplify]: Extracting #2: cost 6 inf + 0 536.015 * * [simplify]: Extracting #3: cost 52 inf + 0 536.016 * * [simplify]: Extracting #4: cost 118 inf + 0 536.018 * * [simplify]: Extracting #5: cost 176 inf + 0 536.019 * * [simplify]: Extracting #6: cost 220 inf + 172 536.020 * * [simplify]: Extracting #7: cost 177 inf + 9940 536.023 * * [simplify]: Extracting #8: cost 111 inf + 23043 536.029 * * [simplify]: Extracting #9: cost 70 inf + 36580 536.039 * * [simplify]: Extracting #10: cost 19 inf + 67748 536.056 * * [simplify]: Extracting #11: cost 0 inf + 83183 536.072 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) 536.072 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 536.073 * * * * [progress]: [ 1779 / 5906 ] simplifiying candidate # 536.073 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 536.073 * * [simplify]: iters left: 6 (42 enodes) 536.084 * * [simplify]: iters left: 5 (199 enodes) 536.128 * * [simplify]: Extracting #0: cost 1 inf + 0 536.128 * * [simplify]: Extracting #1: cost 3 inf + 0 536.128 * * [simplify]: Extracting #2: cost 6 inf + 0 536.128 * * [simplify]: Extracting #3: cost 56 inf + 0 536.128 * * [simplify]: Extracting #4: cost 141 inf + 0 536.129 * * [simplify]: Extracting #5: cost 187 inf + 249 536.129 * * [simplify]: Extracting #6: cost 221 inf + 1317 536.131 * * [simplify]: Extracting #7: cost 164 inf + 9034 536.136 * * [simplify]: Extracting #8: cost 84 inf + 34045 536.147 * * [simplify]: Extracting #9: cost 20 inf + 67060 536.162 * * [simplify]: Extracting #10: cost 0 inf + 83360 536.178 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 536.179 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 536.179 * * * * [progress]: [ 1780 / 5906 ] simplifiying candidate # 536.179 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 536.180 * * [simplify]: iters left: 6 (42 enodes) 536.193 * * [simplify]: iters left: 5 (199 enodes) 536.236 * * [simplify]: Extracting #0: cost 1 inf + 0 536.236 * * [simplify]: Extracting #1: cost 3 inf + 0 536.236 * * [simplify]: Extracting #2: cost 6 inf + 0 536.236 * * [simplify]: Extracting #3: cost 58 inf + 0 536.236 * * [simplify]: Extracting #4: cost 139 inf + 0 536.236 * * [simplify]: Extracting #5: cost 183 inf + 250 536.237 * * [simplify]: Extracting #6: cost 216 inf + 1871 536.239 * * [simplify]: Extracting #7: cost 150 inf + 11654 536.244 * * [simplify]: Extracting #8: cost 81 inf + 33280 536.251 * * [simplify]: Extracting #9: cost 41 inf + 48588 536.265 * * [simplify]: Extracting #10: cost 18 inf + 66742 536.279 * * [simplify]: Extracting #11: cost 0 inf + 81952 536.295 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 536.295 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 536.296 * * * * [progress]: [ 1781 / 5906 ] simplifiying candidate # 536.296 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 536.296 * * [simplify]: iters left: 6 (35 enodes) 536.305 * * [simplify]: iters left: 5 (158 enodes) 536.337 * * [simplify]: iters left: 4 (424 enodes) 536.488 * * [simplify]: Extracting #0: cost 1 inf + 0 536.488 * * [simplify]: Extracting #1: cost 3 inf + 0 536.489 * * [simplify]: Extracting #2: cost 16 inf + 0 536.489 * * [simplify]: Extracting #3: cost 166 inf + 0 536.490 * * [simplify]: Extracting #4: cost 356 inf + 44 536.491 * * [simplify]: Extracting #5: cost 392 inf + 6254 536.495 * * [simplify]: Extracting #6: cost 423 inf + 17333 536.505 * * [simplify]: Extracting #7: cost 355 inf + 55356 536.525 * * [simplify]: Extracting #8: cost 210 inf + 101437 536.561 * * [simplify]: Extracting #9: cost 74 inf + 162457 536.611 * * [simplify]: Extracting #10: cost 6 inf + 211197 536.666 * * [simplify]: Extracting #11: cost 0 inf + 215467 536.721 * * [simplify]: Extracting #12: cost 0 inf + 215387 536.775 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) 536.775 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 536.776 * * * * [progress]: [ 1782 / 5906 ] simplifiying candidate # 536.776 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 536.776 * * [simplify]: iters left: 6 (41 enodes) 536.787 * * [simplify]: iters left: 5 (191 enodes) 536.826 * * [simplify]: iters left: 4 (492 enodes) 536.990 * * [simplify]: Extracting #0: cost 1 inf + 0 536.990 * * [simplify]: Extracting #1: cost 3 inf + 0 536.990 * * [simplify]: Extracting #2: cost 18 inf + 0 536.990 * * [simplify]: Extracting #3: cost 158 inf + 0 536.991 * * [simplify]: Extracting #4: cost 357 inf + 168 536.993 * * [simplify]: Extracting #5: cost 465 inf + 2638 536.996 * * [simplify]: Extracting #6: cost 530 inf + 13573 537.004 * * [simplify]: Extracting #7: cost 473 inf + 47007 537.030 * * [simplify]: Extracting #8: cost 232 inf + 135311 537.069 * * [simplify]: Extracting #9: cost 76 inf + 207777 537.128 * * [simplify]: Extracting #10: cost 11 inf + 267442 537.194 * * [simplify]: Extracting #11: cost 0 inf + 279117 537.260 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) 537.260 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 537.260 * * * * [progress]: [ 1783 / 5906 ] simplifiying candidate # 537.260 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 537.261 * * [simplify]: iters left: 6 (35 enodes) 537.269 * * [simplify]: iters left: 5 (158 enodes) 537.300 * * [simplify]: iters left: 4 (411 enodes) 537.438 * * [simplify]: Extracting #0: cost 1 inf + 0 537.438 * * [simplify]: Extracting #1: cost 3 inf + 0 537.438 * * [simplify]: Extracting #2: cost 13 inf + 0 537.438 * * [simplify]: Extracting #3: cost 111 inf + 0 537.439 * * [simplify]: Extracting #4: cost 263 inf + 44 537.440 * * [simplify]: Extracting #5: cost 353 inf + 2733 537.445 * * [simplify]: Extracting #6: cost 344 inf + 27712 537.460 * * [simplify]: Extracting #7: cost 250 inf + 76398 537.479 * * [simplify]: Extracting #8: cost 222 inf + 81739 537.500 * * [simplify]: Extracting #9: cost 151 inf + 104030 537.534 * * [simplify]: Extracting #10: cost 32 inf + 154085 537.576 * * [simplify]: Extracting #11: cost 3 inf + 179530 537.619 * * [simplify]: Extracting #12: cost 0 inf + 182565 537.664 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 537.664 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 537.665 * * * * [progress]: [ 1784 / 5906 ] simplifiying candidate # 537.665 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 537.665 * * [simplify]: iters left: 6 (41 enodes) 537.676 * * [simplify]: iters left: 5 (191 enodes) 537.716 * * [simplify]: iters left: 4 (492 enodes) 537.882 * * [simplify]: Extracting #0: cost 1 inf + 0 537.882 * * [simplify]: Extracting #1: cost 3 inf + 0 537.882 * * [simplify]: Extracting #2: cost 18 inf + 0 537.882 * * [simplify]: Extracting #3: cost 142 inf + 0 537.883 * * [simplify]: Extracting #4: cost 321 inf + 127 537.885 * * [simplify]: Extracting #5: cost 473 inf + 825 537.887 * * [simplify]: Extracting #6: cost 553 inf + 7703 537.894 * * [simplify]: Extracting #7: cost 513 inf + 29355 537.910 * * [simplify]: Extracting #8: cost 292 inf + 107424 537.946 * * [simplify]: Extracting #9: cost 79 inf + 205445 538.006 * * [simplify]: Extracting #10: cost 11 inf + 268062 538.072 * * [simplify]: Extracting #11: cost 0 inf + 278577 538.137 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) 538.137 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 538.137 * * * * [progress]: [ 1785 / 5906 ] simplifiying candidate # 538.137 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 538.138 * * [simplify]: iters left: 6 (35 enodes) 538.146 * * [simplify]: iters left: 5 (158 enodes) 538.178 * * [simplify]: iters left: 4 (411 enodes) 538.315 * * [simplify]: Extracting #0: cost 1 inf + 0 538.315 * * [simplify]: Extracting #1: cost 3 inf + 0 538.315 * * [simplify]: Extracting #2: cost 13 inf + 0 538.315 * * [simplify]: Extracting #3: cost 108 inf + 0 538.316 * * [simplify]: Extracting #4: cost 273 inf + 44 538.317 * * [simplify]: Extracting #5: cost 365 inf + 2321 538.320 * * [simplify]: Extracting #6: cost 394 inf + 12160 538.328 * * [simplify]: Extracting #7: cost 346 inf + 38906 538.351 * * [simplify]: Extracting #8: cost 149 inf + 108960 538.387 * * [simplify]: Extracting #9: cost 11 inf + 169916 538.429 * * [simplify]: Extracting #10: cost 2 inf + 178821 538.471 * * [simplify]: Extracting #11: cost 0 inf + 181391 538.513 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 538.513 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 538.513 * * * * [progress]: [ 1786 / 5906 ] simplifiying candidate # 538.513 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 538.514 * * [simplify]: iters left: 6 (48 enodes) 538.527 * * [simplify]: iters left: 5 (229 enodes) 538.576 * * [simplify]: Extracting #0: cost 1 inf + 0 538.576 * * [simplify]: Extracting #1: cost 3 inf + 0 538.576 * * [simplify]: Extracting #2: cost 6 inf + 0 538.576 * * [simplify]: Extracting #3: cost 52 inf + 0 538.576 * * [simplify]: Extracting #4: cost 118 inf + 0 538.577 * * [simplify]: Extracting #5: cost 184 inf + 0 538.577 * * [simplify]: Extracting #6: cost 248 inf + 45 538.579 * * [simplify]: Extracting #7: cost 208 inf + 4486 538.583 * * [simplify]: Extracting #8: cost 109 inf + 31397 538.599 * * [simplify]: Extracting #9: cost 9 inf + 91226 538.620 * * [simplify]: Extracting #10: cost 0 inf + 101571 538.640 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 538.640 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 538.640 * * * * [progress]: [ 1787 / 5906 ] simplifiying candidate # 538.640 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 538.641 * * [simplify]: iters left: 6 (49 enodes) 538.653 * * [simplify]: iters left: 5 (238 enodes) 538.708 * * [simplify]: Extracting #0: cost 1 inf + 0 538.708 * * [simplify]: Extracting #1: cost 3 inf + 0 538.708 * * [simplify]: Extracting #2: cost 6 inf + 0 538.708 * * [simplify]: Extracting #3: cost 56 inf + 0 538.708 * * [simplify]: Extracting #4: cost 141 inf + 0 538.709 * * [simplify]: Extracting #5: cost 196 inf + 126 538.710 * * [simplify]: Extracting #6: cost 218 inf + 5688 538.712 * * [simplify]: Extracting #7: cost 189 inf + 10633 538.715 * * [simplify]: Extracting #8: cost 145 inf + 19417 538.722 * * [simplify]: Extracting #9: cost 86 inf + 42702 538.731 * * [simplify]: Extracting #10: cost 43 inf + 62113 538.747 * * [simplify]: Extracting #11: cost 6 inf + 96718 538.767 * * [simplify]: Extracting #12: cost 0 inf + 104308 538.789 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 538.789 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 538.789 * * * * [progress]: [ 1788 / 5906 ] simplifiying candidate # 538.790 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 538.790 * * [simplify]: iters left: 6 (49 enodes) 538.802 * * [simplify]: iters left: 5 (238 enodes) 538.856 * * [simplify]: Extracting #0: cost 1 inf + 0 538.856 * * [simplify]: Extracting #1: cost 3 inf + 0 538.856 * * [simplify]: Extracting #2: cost 6 inf + 0 538.856 * * [simplify]: Extracting #3: cost 58 inf + 0 538.856 * * [simplify]: Extracting #4: cost 139 inf + 0 538.857 * * [simplify]: Extracting #5: cost 192 inf + 166 538.858 * * [simplify]: Extracting #6: cost 219 inf + 4757 538.860 * * [simplify]: Extracting #7: cost 181 inf + 11422 538.864 * * [simplify]: Extracting #8: cost 119 inf + 26520 538.871 * * [simplify]: Extracting #9: cost 59 inf + 49827 538.886 * * [simplify]: Extracting #10: cost 10 inf + 89751 538.905 * * [simplify]: Extracting #11: cost 0 inf + 100860 538.925 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 538.925 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 538.926 * * * * [progress]: [ 1789 / 5906 ] simplifiying candidate # 538.926 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 538.927 * * [simplify]: iters left: 6 (43 enodes) 538.939 * * [simplify]: iters left: 5 (202 enodes) 538.981 * * [simplify]: Extracting #0: cost 1 inf + 0 538.981 * * [simplify]: Extracting #1: cost 3 inf + 0 538.981 * * [simplify]: Extracting #2: cost 6 inf + 0 538.981 * * [simplify]: Extracting #3: cost 50 inf + 0 538.981 * * [simplify]: Extracting #4: cost 107 inf + 0 538.981 * * [simplify]: Extracting #5: cost 138 inf + 249 538.982 * * [simplify]: Extracting #6: cost 186 inf + 1234 538.983 * * [simplify]: Extracting #7: cost 166 inf + 4964 538.986 * * [simplify]: Extracting #8: cost 112 inf + 16925 538.992 * * [simplify]: Extracting #9: cost 61 inf + 36805 539.005 * * [simplify]: Extracting #10: cost 9 inf + 71789 539.022 * * [simplify]: Extracting #11: cost 0 inf + 79999 539.037 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 539.037 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 539.038 * * * * [progress]: [ 1790 / 5906 ] simplifiying candidate # 539.038 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 539.038 * * [simplify]: iters left: 6 (48 enodes) 539.051 * * [simplify]: iters left: 5 (230 enodes) 539.102 * * [simplify]: Extracting #0: cost 1 inf + 0 539.102 * * [simplify]: Extracting #1: cost 3 inf + 0 539.102 * * [simplify]: Extracting #2: cost 10 inf + 0 539.102 * * [simplify]: Extracting #3: cost 70 inf + 0 539.102 * * [simplify]: Extracting #4: cost 124 inf + 42 539.103 * * [simplify]: Extracting #5: cost 164 inf + 207 539.103 * * [simplify]: Extracting #6: cost 209 inf + 1962 539.105 * * [simplify]: Extracting #7: cost 191 inf + 5848 539.107 * * [simplify]: Extracting #8: cost 130 inf + 20511 539.115 * * [simplify]: Extracting #9: cost 49 inf + 53022 539.130 * * [simplify]: Extracting #10: cost 4 inf + 88630 539.148 * * [simplify]: Extracting #11: cost 0 inf + 94530 539.167 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 539.167 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 539.167 * * * * [progress]: [ 1791 / 5906 ] simplifiying candidate # 539.168 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 539.168 * * [simplify]: iters left: 6 (43 enodes) 539.179 * * [simplify]: iters left: 5 (202 enodes) 539.222 * * [simplify]: iters left: 4 (498 enodes) 539.376 * * [simplify]: Extracting #0: cost 1 inf + 0 539.376 * * [simplify]: Extracting #1: cost 3 inf + 0 539.376 * * [simplify]: Extracting #2: cost 12 inf + 0 539.376 * * [simplify]: Extracting #3: cost 110 inf + 0 539.377 * * [simplify]: Extracting #4: cost 261 inf + 85 539.381 * * [simplify]: Extracting #5: cost 351 inf + 2812 539.384 * * [simplify]: Extracting #6: cost 453 inf + 6674 539.388 * * [simplify]: Extracting #7: cost 493 inf + 15545 539.399 * * [simplify]: Extracting #8: cost 335 inf + 60204 539.427 * * [simplify]: Extracting #9: cost 114 inf + 152599 539.474 * * [simplify]: Extracting #10: cost 11 inf + 218913 539.524 * * [simplify]: Extracting #11: cost 0 inf + 226489 539.577 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 539.577 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 539.577 * * * * [progress]: [ 1792 / 5906 ] simplifiying candidate # 539.577 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 539.578 * * [simplify]: iters left: 6 (48 enodes) 539.590 * * [simplify]: iters left: 5 (230 enodes) 539.640 * * [simplify]: Extracting #0: cost 1 inf + 0 539.640 * * [simplify]: Extracting #1: cost 3 inf + 0 539.640 * * [simplify]: Extracting #2: cost 10 inf + 0 539.641 * * [simplify]: Extracting #3: cost 70 inf + 0 539.641 * * [simplify]: Extracting #4: cost 124 inf + 42 539.641 * * [simplify]: Extracting #5: cost 163 inf + 249 539.642 * * [simplify]: Extracting #6: cost 205 inf + 2769 539.643 * * [simplify]: Extracting #7: cost 191 inf + 5848 539.646 * * [simplify]: Extracting #8: cost 134 inf + 19371 539.654 * * [simplify]: Extracting #9: cost 47 inf + 55274 539.669 * * [simplify]: Extracting #10: cost 3 inf + 90775 539.688 * * [simplify]: Extracting #11: cost 0 inf + 95650 539.706 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 539.707 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 539.707 * * * * [progress]: [ 1793 / 5906 ] simplifiying candidate # 539.707 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 539.708 * * [simplify]: iters left: 6 (43 enodes) 539.718 * * [simplify]: iters left: 5 (202 enodes) 539.760 * * [simplify]: iters left: 4 (498 enodes) 539.920 * * [simplify]: Extracting #0: cost 1 inf + 0 539.920 * * [simplify]: Extracting #1: cost 3 inf + 0 539.920 * * [simplify]: Extracting #2: cost 12 inf + 0 539.921 * * [simplify]: Extracting #3: cost 107 inf + 0 539.921 * * [simplify]: Extracting #4: cost 271 inf + 85 539.923 * * [simplify]: Extracting #5: cost 365 inf + 1881 539.925 * * [simplify]: Extracting #6: cost 462 inf + 6430 539.930 * * [simplify]: Extracting #7: cost 500 inf + 16470 539.941 * * [simplify]: Extracting #8: cost 330 inf + 65550 539.967 * * [simplify]: Extracting #9: cost 129 inf + 146697 540.014 * * [simplify]: Extracting #10: cost 16 inf + 215530 540.066 * * [simplify]: Extracting #11: cost 1 inf + 228210 540.120 * * [simplify]: Extracting #12: cost 0 inf + 229755 540.174 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 540.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 540.174 * * * * [progress]: [ 1794 / 5906 ] simplifiying candidate # 540.175 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 540.175 * * [simplify]: iters left: 6 (41 enodes) 540.187 * * [simplify]: iters left: 5 (191 enodes) 540.227 * * [simplify]: Extracting #0: cost 1 inf + 0 540.227 * * [simplify]: Extracting #1: cost 3 inf + 0 540.227 * * [simplify]: Extracting #2: cost 6 inf + 0 540.227 * * [simplify]: Extracting #3: cost 52 inf + 0 540.227 * * [simplify]: Extracting #4: cost 118 inf + 0 540.228 * * [simplify]: Extracting #5: cost 176 inf + 0 540.228 * * [simplify]: Extracting #6: cost 222 inf + 130 540.229 * * [simplify]: Extracting #7: cost 185 inf + 7953 540.234 * * [simplify]: Extracting #8: cost 77 inf + 35366 540.245 * * [simplify]: Extracting #9: cost 18 inf + 71400 540.261 * * [simplify]: Extracting #10: cost 0 inf + 83905 540.280 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 540.280 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 540.281 * * * * [progress]: [ 1795 / 5906 ] simplifiying candidate # 540.281 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 540.281 * * [simplify]: iters left: 6 (42 enodes) 540.292 * * [simplify]: iters left: 5 (200 enodes) 540.335 * * [simplify]: Extracting #0: cost 1 inf + 0 540.335 * * [simplify]: Extracting #1: cost 3 inf + 0 540.335 * * [simplify]: Extracting #2: cost 6 inf + 0 540.335 * * [simplify]: Extracting #3: cost 56 inf + 0 540.335 * * [simplify]: Extracting #4: cost 141 inf + 0 540.336 * * [simplify]: Extracting #5: cost 188 inf + 208 540.336 * * [simplify]: Extracting #6: cost 224 inf + 1155 540.338 * * [simplify]: Extracting #7: cost 157 inf + 10722 540.342 * * [simplify]: Extracting #8: cost 101 inf + 28848 540.351 * * [simplify]: Extracting #9: cost 71 inf + 38696 540.359 * * [simplify]: Extracting #10: cost 37 inf + 52597 540.370 * * [simplify]: Extracting #11: cost 19 inf + 68047 540.387 * * [simplify]: Extracting #12: cost 0 inf + 84762 540.404 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 540.404 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 540.404 * * * * [progress]: [ 1796 / 5906 ] simplifiying candidate # 540.405 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 540.405 * * [simplify]: iters left: 6 (42 enodes) 540.417 * * [simplify]: iters left: 5 (200 enodes) 540.462 * * [simplify]: Extracting #0: cost 1 inf + 0 540.462 * * [simplify]: Extracting #1: cost 3 inf + 0 540.462 * * [simplify]: Extracting #2: cost 6 inf + 0 540.462 * * [simplify]: Extracting #3: cost 58 inf + 0 540.463 * * [simplify]: Extracting #4: cost 139 inf + 0 540.463 * * [simplify]: Extracting #5: cost 185 inf + 86 540.464 * * [simplify]: Extracting #6: cost 216 inf + 1822 540.466 * * [simplify]: Extracting #7: cost 156 inf + 10598 540.470 * * [simplify]: Extracting #8: cost 102 inf + 27366 540.476 * * [simplify]: Extracting #9: cost 59 inf + 44266 540.489 * * [simplify]: Extracting #10: cost 10 inf + 72784 540.503 * * [simplify]: Extracting #11: cost 0 inf + 80954 540.521 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 540.521 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 540.522 * * * * [progress]: [ 1797 / 5906 ] simplifiying candidate # 540.522 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 540.522 * * [simplify]: iters left: 6 (35 enodes) 540.531 * * [simplify]: iters left: 5 (159 enodes) 540.563 * * [simplify]: iters left: 4 (428 enodes) 540.705 * * [simplify]: Extracting #0: cost 1 inf + 0 540.705 * * [simplify]: Extracting #1: cost 3 inf + 0 540.705 * * [simplify]: Extracting #2: cost 16 inf + 0 540.706 * * [simplify]: Extracting #3: cost 164 inf + 0 540.707 * * [simplify]: Extracting #4: cost 352 inf + 86 540.712 * * [simplify]: Extracting #5: cost 392 inf + 5167 540.716 * * [simplify]: Extracting #6: cost 426 inf + 16805 540.727 * * [simplify]: Extracting #7: cost 339 inf + 58942 540.746 * * [simplify]: Extracting #8: cost 281 inf + 78839 540.765 * * [simplify]: Extracting #9: cost 234 inf + 94474 540.801 * * [simplify]: Extracting #10: cost 65 inf + 166591 540.853 * * [simplify]: Extracting #11: cost 0 inf + 214256 540.908 * * [simplify]: Extracting #12: cost 0 inf + 214096 540.961 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 540.961 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 540.962 * * * * [progress]: [ 1798 / 5906 ] simplifiying candidate # 540.962 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 540.962 * * [simplify]: iters left: 6 (41 enodes) 540.973 * * [simplify]: iters left: 5 (192 enodes) 541.014 * * [simplify]: iters left: 4 (496 enodes) 541.185 * * [simplify]: Extracting #0: cost 1 inf + 0 541.185 * * [simplify]: Extracting #1: cost 3 inf + 0 541.185 * * [simplify]: Extracting #2: cost 18 inf + 0 541.186 * * [simplify]: Extracting #3: cost 158 inf + 0 541.187 * * [simplify]: Extracting #4: cost 359 inf + 86 541.188 * * [simplify]: Extracting #5: cost 476 inf + 1462 541.191 * * [simplify]: Extracting #6: cost 542 inf + 11185 541.197 * * [simplify]: Extracting #7: cost 492 inf + 35377 541.215 * * [simplify]: Extracting #8: cost 275 inf + 113021 541.252 * * [simplify]: Extracting #9: cost 78 inf + 204587 541.311 * * [simplify]: Extracting #10: cost 9 inf + 265611 541.377 * * [simplify]: Extracting #11: cost 0 inf + 273436 541.442 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 541.442 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 541.442 * * * * [progress]: [ 1799 / 5906 ] simplifiying candidate # 541.443 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 541.443 * * [simplify]: iters left: 6 (35 enodes) 541.452 * * [simplify]: iters left: 5 (159 enodes) 541.485 * * [simplify]: iters left: 4 (415 enodes) 541.623 * * [simplify]: Extracting #0: cost 1 inf + 0 541.623 * * [simplify]: Extracting #1: cost 3 inf + 0 541.623 * * [simplify]: Extracting #2: cost 13 inf + 0 541.623 * * [simplify]: Extracting #3: cost 112 inf + 0 541.624 * * [simplify]: Extracting #4: cost 264 inf + 44 541.626 * * [simplify]: Extracting #5: cost 357 inf + 2328 541.628 * * [simplify]: Extracting #6: cost 400 inf + 10540 541.637 * * [simplify]: Extracting #7: cost 329 inf + 42664 541.657 * * [simplify]: Extracting #8: cost 220 inf + 81703 541.682 * * [simplify]: Extracting #9: cost 130 inf + 116290 541.720 * * [simplify]: Extracting #10: cost 14 inf + 169409 541.762 * * [simplify]: Extracting #11: cost 1 inf + 177894 541.803 * * [simplify]: Extracting #12: cost 0 inf + 179199 541.845 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 541.845 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 541.846 * * * * [progress]: [ 1800 / 5906 ] simplifiying candidate # 541.846 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 541.846 * * [simplify]: iters left: 6 (41 enodes) 541.857 * * [simplify]: iters left: 5 (192 enodes) 541.897 * * [simplify]: iters left: 4 (496 enodes) 542.068 * * [simplify]: Extracting #0: cost 1 inf + 0 542.068 * * [simplify]: Extracting #1: cost 3 inf + 0 542.068 * * [simplify]: Extracting #2: cost 18 inf + 0 542.068 * * [simplify]: Extracting #3: cost 142 inf + 0 542.069 * * [simplify]: Extracting #4: cost 320 inf + 169 542.070 * * [simplify]: Extracting #5: cost 473 inf + 704 542.074 * * [simplify]: Extracting #6: cost 528 inf + 15352 542.087 * * [simplify]: Extracting #7: cost 411 inf + 75533 542.114 * * [simplify]: Extracting #8: cost 242 inf + 129427 542.149 * * [simplify]: Extracting #9: cost 99 inf + 192181 542.203 * * [simplify]: Extracting #10: cost 24 inf + 248896 542.270 * * [simplify]: Extracting #11: cost 2 inf + 270006 542.339 * * [simplify]: Extracting #12: cost 0 inf + 273136 542.405 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) 542.405 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 542.406 * * * * [progress]: [ 1801 / 5906 ] simplifiying candidate # 542.406 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 542.406 * * [simplify]: iters left: 6 (35 enodes) 542.414 * * [simplify]: iters left: 5 (159 enodes) 542.447 * * [simplify]: iters left: 4 (415 enodes) 542.584 * * [simplify]: Extracting #0: cost 1 inf + 0 542.584 * * [simplify]: Extracting #1: cost 3 inf + 0 542.584 * * [simplify]: Extracting #2: cost 13 inf + 0 542.584 * * [simplify]: Extracting #3: cost 109 inf + 0 542.585 * * [simplify]: Extracting #4: cost 274 inf + 44 542.586 * * [simplify]: Extracting #5: cost 366 inf + 2243 542.589 * * [simplify]: Extracting #6: cost 410 inf + 10495 542.597 * * [simplify]: Extracting #7: cost 340 inf + 41780 542.623 * * [simplify]: Extracting #8: cost 158 inf + 103897 542.656 * * [simplify]: Extracting #9: cost 27 inf + 158030 542.697 * * [simplify]: Extracting #10: cost 3 inf + 178070 542.739 * * [simplify]: Extracting #11: cost 0 inf + 181905 542.781 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 542.782 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 542.782 * * * * [progress]: [ 1802 / 5906 ] simplifiying candidate # 542.782 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 542.782 * * [simplify]: iters left: 6 (52 enodes) 542.797 * * [simplify]: iters left: 5 (254 enodes) 542.852 * * [simplify]: Extracting #0: cost 1 inf + 0 542.852 * * [simplify]: Extracting #1: cost 3 inf + 0 542.852 * * [simplify]: Extracting #2: cost 6 inf + 0 542.853 * * [simplify]: Extracting #3: cost 56 inf + 0 542.853 * * [simplify]: Extracting #4: cost 130 inf + 0 542.853 * * [simplify]: Extracting #5: cost 208 inf + 0 542.854 * * [simplify]: Extracting #6: cost 301 inf + 86 542.855 * * [simplify]: Extracting #7: cost 258 inf + 5263 542.861 * * [simplify]: Extracting #8: cost 166 inf + 27016 542.870 * * [simplify]: Extracting #9: cost 96 inf + 55560 542.882 * * [simplify]: Extracting #10: cost 47 inf + 75612 542.901 * * [simplify]: Extracting #11: cost 12 inf + 111965 542.927 * * [simplify]: Extracting #12: cost 0 inf + 127465 542.951 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 542.952 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 542.952 * * * * [progress]: [ 1803 / 5906 ] simplifiying candidate # 542.952 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 542.953 * * [simplify]: iters left: 6 (53 enodes) 542.967 * * [simplify]: iters left: 5 (263 enodes) 543.025 * * [simplify]: Extracting #0: cost 1 inf + 0 543.025 * * [simplify]: Extracting #1: cost 3 inf + 0 543.025 * * [simplify]: Extracting #2: cost 6 inf + 0 543.025 * * [simplify]: Extracting #3: cost 60 inf + 0 543.025 * * [simplify]: Extracting #4: cost 153 inf + 0 543.026 * * [simplify]: Extracting #5: cost 222 inf + 44 543.029 * * [simplify]: Extracting #6: cost 275 inf + 5002 543.032 * * [simplify]: Extracting #7: cost 245 inf + 10070 543.036 * * [simplify]: Extracting #8: cost 172 inf + 25812 543.045 * * [simplify]: Extracting #9: cost 88 inf + 61317 543.058 * * [simplify]: Extracting #10: cost 48 inf + 76682 543.077 * * [simplify]: Extracting #11: cost 15 inf + 111187 543.102 * * [simplify]: Extracting #12: cost 0 inf + 128882 543.128 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 543.128 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 543.129 * * * * [progress]: [ 1804 / 5906 ] simplifiying candidate # 543.129 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 543.129 * * [simplify]: iters left: 6 (53 enodes) 543.143 * * [simplify]: iters left: 5 (263 enodes) 543.202 * * [simplify]: Extracting #0: cost 1 inf + 0 543.202 * * [simplify]: Extracting #1: cost 3 inf + 0 543.202 * * [simplify]: Extracting #2: cost 6 inf + 0 543.202 * * [simplify]: Extracting #3: cost 62 inf + 0 543.203 * * [simplify]: Extracting #4: cost 151 inf + 0 543.203 * * [simplify]: Extracting #5: cost 217 inf + 86 543.204 * * [simplify]: Extracting #6: cost 279 inf + 3505 543.207 * * [simplify]: Extracting #7: cost 243 inf + 10545 543.211 * * [simplify]: Extracting #8: cost 163 inf + 26034 543.220 * * [simplify]: Extracting #9: cost 76 inf + 59469 543.235 * * [simplify]: Extracting #10: cost 36 inf + 84595 543.256 * * [simplify]: Extracting #11: cost 9 inf + 115689 543.282 * * [simplify]: Extracting #12: cost 0 inf + 126674 543.306 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 543.306 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 543.307 * * * * [progress]: [ 1805 / 5906 ] simplifiying candidate # 543.307 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 543.307 * * [simplify]: iters left: 6 (47 enodes) 543.319 * * [simplify]: iters left: 5 (227 enodes) 543.369 * * [simplify]: Extracting #0: cost 1 inf + 0 543.369 * * [simplify]: Extracting #1: cost 3 inf + 0 543.369 * * [simplify]: Extracting #2: cost 6 inf + 0 543.369 * * [simplify]: Extracting #3: cost 54 inf + 0 543.370 * * [simplify]: Extracting #4: cost 119 inf + 0 543.370 * * [simplify]: Extracting #5: cost 166 inf + 44 543.371 * * [simplify]: Extracting #6: cost 236 inf + 1721 543.372 * * [simplify]: Extracting #7: cost 211 inf + 5701 543.375 * * [simplify]: Extracting #8: cost 170 inf + 13266 543.380 * * [simplify]: Extracting #9: cost 112 inf + 32336 543.391 * * [simplify]: Extracting #10: cost 32 inf + 70133 543.408 * * [simplify]: Extracting #11: cost 4 inf + 98113 543.429 * * [simplify]: Extracting #12: cost 1 inf + 102868 543.449 * * [simplify]: Extracting #13: cost 0 inf + 104733 543.471 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 543.471 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 543.472 * * * * [progress]: [ 1806 / 5906 ] simplifiying candidate # 543.472 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 543.473 * * [simplify]: iters left: 6 (52 enodes) 543.486 * * [simplify]: iters left: 5 (255 enodes) 543.544 * * [simplify]: Extracting #0: cost 1 inf + 0 543.544 * * [simplify]: Extracting #1: cost 3 inf + 0 543.544 * * [simplify]: Extracting #2: cost 10 inf + 0 543.544 * * [simplify]: Extracting #3: cost 74 inf + 0 543.544 * * [simplify]: Extracting #4: cost 137 inf + 1 543.545 * * [simplify]: Extracting #5: cost 187 inf + 248 543.546 * * [simplify]: Extracting #6: cost 264 inf + 1840 543.547 * * [simplify]: Extracting #7: cost 234 inf + 7113 543.552 * * [simplify]: Extracting #8: cost 140 inf + 30219 543.560 * * [simplify]: Extracting #9: cost 75 inf + 53703 543.572 * * [simplify]: Extracting #10: cost 39 inf + 76901 543.593 * * [simplify]: Extracting #11: cost 3 inf + 113549 543.616 * * [simplify]: Extracting #12: cost 0 inf + 119584 543.642 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 543.642 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 543.643 * * * * [progress]: [ 1807 / 5906 ] simplifiying candidate # 543.643 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 543.643 * * [simplify]: iters left: 6 (47 enodes) 543.655 * * [simplify]: iters left: 5 (227 enodes) 543.707 * * [simplify]: Extracting #0: cost 1 inf + 0 543.707 * * [simplify]: Extracting #1: cost 3 inf + 0 543.707 * * [simplify]: Extracting #2: cost 10 inf + 0 543.707 * * [simplify]: Extracting #3: cost 66 inf + 0 543.707 * * [simplify]: Extracting #4: cost 117 inf + 44 543.708 * * [simplify]: Extracting #5: cost 150 inf + 1348 543.709 * * [simplify]: Extracting #6: cost 228 inf + 2932 543.711 * * [simplify]: Extracting #7: cost 218 inf + 5164 543.714 * * [simplify]: Extracting #8: cost 170 inf + 13341 543.721 * * [simplify]: Extracting #9: cost 117 inf + 30411 543.731 * * [simplify]: Extracting #10: cost 51 inf + 56573 543.748 * * [simplify]: Extracting #11: cost 2 inf + 97293 543.767 * * [simplify]: Extracting #12: cost 1 inf + 99118 543.787 * * [simplify]: Extracting #13: cost 0 inf + 100943 543.808 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 543.808 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 543.809 * * * * [progress]: [ 1808 / 5906 ] simplifiying candidate # 543.809 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 543.809 * * [simplify]: iters left: 6 (52 enodes) 543.822 * * [simplify]: iters left: 5 (255 enodes) 543.880 * * [simplify]: Extracting #0: cost 1 inf + 0 543.880 * * [simplify]: Extracting #1: cost 3 inf + 0 543.880 * * [simplify]: Extracting #2: cost 10 inf + 0 543.880 * * [simplify]: Extracting #3: cost 74 inf + 0 543.880 * * [simplify]: Extracting #4: cost 137 inf + 1 543.881 * * [simplify]: Extracting #5: cost 187 inf + 248 543.882 * * [simplify]: Extracting #6: cost 267 inf + 1515 543.883 * * [simplify]: Extracting #7: cost 235 inf + 6630 543.888 * * [simplify]: Extracting #8: cost 140 inf + 30329 543.896 * * [simplify]: Extracting #9: cost 75 inf + 53863 543.908 * * [simplify]: Extracting #10: cost 39 inf + 77461 543.928 * * [simplify]: Extracting #11: cost 3 inf + 114509 543.952 * * [simplify]: Extracting #12: cost 0 inf + 120544 543.977 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 543.977 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 543.977 * * * * [progress]: [ 1809 / 5906 ] simplifiying candidate # 543.977 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 543.978 * * [simplify]: iters left: 6 (47 enodes) 543.990 * * [simplify]: iters left: 5 (227 enodes) 544.039 * * [simplify]: Extracting #0: cost 1 inf + 0 544.039 * * [simplify]: Extracting #1: cost 3 inf + 0 544.039 * * [simplify]: Extracting #2: cost 10 inf + 0 544.039 * * [simplify]: Extracting #3: cost 65 inf + 0 544.039 * * [simplify]: Extracting #4: cost 116 inf + 86 544.040 * * [simplify]: Extracting #5: cost 146 inf + 1876 544.040 * * [simplify]: Extracting #6: cost 228 inf + 2932 544.042 * * [simplify]: Extracting #7: cost 217 inf + 5326 544.046 * * [simplify]: Extracting #8: cost 169 inf + 13865 544.051 * * [simplify]: Extracting #9: cost 116 inf + 30435 544.060 * * [simplify]: Extracting #10: cost 50 inf + 56897 544.077 * * [simplify]: Extracting #11: cost 2 inf + 97373 544.096 * * [simplify]: Extracting #12: cost 1 inf + 99198 544.116 * * [simplify]: Extracting #13: cost 0 inf + 101023 544.136 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 544.136 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 544.137 * * * * [progress]: [ 1810 / 5906 ] simplifiying candidate # 544.137 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 544.137 * * [simplify]: iters left: 6 (52 enodes) 544.151 * * [simplify]: iters left: 5 (254 enodes) 544.207 * * [simplify]: Extracting #0: cost 1 inf + 0 544.207 * * [simplify]: Extracting #1: cost 3 inf + 0 544.207 * * [simplify]: Extracting #2: cost 6 inf + 0 544.207 * * [simplify]: Extracting #3: cost 56 inf + 0 544.207 * * [simplify]: Extracting #4: cost 130 inf + 0 544.208 * * [simplify]: Extracting #5: cost 210 inf + 0 544.208 * * [simplify]: Extracting #6: cost 297 inf + 45 544.212 * * [simplify]: Extracting #7: cost 258 inf + 4527 544.216 * * [simplify]: Extracting #8: cost 140 inf + 32680 544.226 * * [simplify]: Extracting #9: cost 60 inf + 62703 544.245 * * [simplify]: Extracting #10: cost 11 inf + 110701 544.267 * * [simplify]: Extracting #11: cost 1 inf + 122431 544.291 * * [simplify]: Extracting #12: cost 0 inf + 124456 544.315 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 544.316 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 544.316 * * * * [progress]: [ 1811 / 5906 ] simplifiying candidate # 544.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 544.317 * * [simplify]: iters left: 6 (53 enodes) 544.331 * * [simplify]: iters left: 5 (263 enodes) 544.392 * * [simplify]: Extracting #0: cost 1 inf + 0 544.392 * * [simplify]: Extracting #1: cost 3 inf + 0 544.392 * * [simplify]: Extracting #2: cost 6 inf + 0 544.392 * * [simplify]: Extracting #3: cost 60 inf + 0 544.393 * * [simplify]: Extracting #4: cost 153 inf + 0 544.393 * * [simplify]: Extracting #5: cost 224 inf + 44 544.394 * * [simplify]: Extracting #6: cost 275 inf + 3751 544.397 * * [simplify]: Extracting #7: cost 226 inf + 12258 544.401 * * [simplify]: Extracting #8: cost 172 inf + 21550 544.407 * * [simplify]: Extracting #9: cost 117 inf + 40362 544.418 * * [simplify]: Extracting #10: cost 55 inf + 70982 544.439 * * [simplify]: Extracting #11: cost 6 inf + 121403 544.463 * * [simplify]: Extracting #12: cost 0 inf + 128793 544.490 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 544.490 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 544.491 * * * * [progress]: [ 1812 / 5906 ] simplifiying candidate # 544.491 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 544.491 * * [simplify]: iters left: 6 (53 enodes) 544.505 * * [simplify]: iters left: 5 (263 enodes) 544.565 * * [simplify]: Extracting #0: cost 1 inf + 0 544.565 * * [simplify]: Extracting #1: cost 3 inf + 0 544.565 * * [simplify]: Extracting #2: cost 6 inf + 0 544.565 * * [simplify]: Extracting #3: cost 62 inf + 0 544.565 * * [simplify]: Extracting #4: cost 151 inf + 0 544.566 * * [simplify]: Extracting #5: cost 220 inf + 44 544.567 * * [simplify]: Extracting #6: cost 269 inf + 4236 544.569 * * [simplify]: Extracting #7: cost 231 inf + 11322 544.573 * * [simplify]: Extracting #8: cost 170 inf + 22037 544.580 * * [simplify]: Extracting #9: cost 106 inf + 46085 544.592 * * [simplify]: Extracting #10: cost 53 inf + 71984 544.612 * * [simplify]: Extracting #11: cost 7 inf + 118330 544.639 * * [simplify]: Extracting #12: cost 0 inf + 126465 544.665 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 544.665 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 544.666 * * * * [progress]: [ 1813 / 5906 ] simplifiying candidate # 544.666 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 544.666 * * [simplify]: iters left: 6 (47 enodes) 544.678 * * [simplify]: iters left: 5 (227 enodes) 544.728 * * [simplify]: Extracting #0: cost 1 inf + 0 544.728 * * [simplify]: Extracting #1: cost 3 inf + 0 544.728 * * [simplify]: Extracting #2: cost 6 inf + 0 544.728 * * [simplify]: Extracting #3: cost 54 inf + 0 544.729 * * [simplify]: Extracting #4: cost 119 inf + 0 544.729 * * [simplify]: Extracting #5: cost 168 inf + 44 544.730 * * [simplify]: Extracting #6: cost 233 inf + 1638 544.731 * * [simplify]: Extracting #7: cost 200 inf + 6834 544.735 * * [simplify]: Extracting #8: cost 133 inf + 21481 544.743 * * [simplify]: Extracting #9: cost 69 inf + 48921 544.755 * * [simplify]: Extracting #10: cost 24 inf + 79070 544.773 * * [simplify]: Extracting #11: cost 1 inf + 100459 544.793 * * [simplify]: Extracting #12: cost 0 inf + 102324 544.815 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) 544.815 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 544.816 * * * * [progress]: [ 1814 / 5906 ] simplifiying candidate # 544.816 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 544.817 * * [simplify]: iters left: 6 (52 enodes) 544.830 * * [simplify]: iters left: 5 (255 enodes) 544.887 * * [simplify]: Extracting #0: cost 1 inf + 0 544.887 * * [simplify]: Extracting #1: cost 3 inf + 0 544.887 * * [simplify]: Extracting #2: cost 10 inf + 0 544.887 * * [simplify]: Extracting #3: cost 74 inf + 0 544.887 * * [simplify]: Extracting #4: cost 137 inf + 1 544.888 * * [simplify]: Extracting #5: cost 189 inf + 248 544.889 * * [simplify]: Extracting #6: cost 251 inf + 3376 544.890 * * [simplify]: Extracting #7: cost 222 inf + 8306 544.894 * * [simplify]: Extracting #8: cost 136 inf + 28742 544.903 * * [simplify]: Extracting #9: cost 66 inf + 57998 544.920 * * [simplify]: Extracting #10: cost 14 inf + 103145 544.943 * * [simplify]: Extracting #11: cost 0 inf + 118215 544.967 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 544.967 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 544.968 * * * * [progress]: [ 1815 / 5906 ] simplifiying candidate # 544.968 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 544.968 * * [simplify]: iters left: 6 (47 enodes) 544.982 * * [simplify]: iters left: 5 (227 enodes) 545.029 * * [simplify]: Extracting #0: cost 1 inf + 0 545.029 * * [simplify]: Extracting #1: cost 3 inf + 0 545.029 * * [simplify]: Extracting #2: cost 10 inf + 0 545.029 * * [simplify]: Extracting #3: cost 66 inf + 0 545.029 * * [simplify]: Extracting #4: cost 117 inf + 44 545.030 * * [simplify]: Extracting #5: cost 155 inf + 862 545.031 * * [simplify]: Extracting #6: cost 224 inf + 2810 545.032 * * [simplify]: Extracting #7: cost 214 inf + 4681 545.035 * * [simplify]: Extracting #8: cost 142 inf + 20761 545.046 * * [simplify]: Extracting #9: cost 55 inf + 56449 545.062 * * [simplify]: Extracting #10: cost 7 inf + 91374 545.081 * * [simplify]: Extracting #11: cost 1 inf + 97589 545.101 * * [simplify]: Extracting #12: cost 0 inf + 99414 545.120 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 545.120 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 545.121 * * * * [progress]: [ 1816 / 5906 ] simplifiying candidate # 545.121 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 545.121 * * [simplify]: iters left: 6 (52 enodes) 545.135 * * [simplify]: iters left: 5 (255 enodes) 545.190 * * [simplify]: Extracting #0: cost 1 inf + 0 545.190 * * [simplify]: Extracting #1: cost 3 inf + 0 545.190 * * [simplify]: Extracting #2: cost 10 inf + 0 545.190 * * [simplify]: Extracting #3: cost 74 inf + 0 545.190 * * [simplify]: Extracting #4: cost 137 inf + 1 545.191 * * [simplify]: Extracting #5: cost 189 inf + 248 545.192 * * [simplify]: Extracting #6: cost 257 inf + 2125 545.193 * * [simplify]: Extracting #7: cost 230 inf + 6550 545.197 * * [simplify]: Extracting #8: cost 143 inf + 26093 545.204 * * [simplify]: Extracting #9: cost 80 inf + 47811 545.223 * * [simplify]: Extracting #10: cost 15 inf + 103141 545.246 * * [simplify]: Extracting #11: cost 0 inf + 119175 545.269 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 545.269 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 545.270 * * * * [progress]: [ 1817 / 5906 ] simplifiying candidate # 545.270 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 545.271 * * [simplify]: iters left: 6 (47 enodes) 545.283 * * [simplify]: iters left: 5 (227 enodes) 545.333 * * [simplify]: Extracting #0: cost 1 inf + 0 545.333 * * [simplify]: Extracting #1: cost 3 inf + 0 545.333 * * [simplify]: Extracting #2: cost 10 inf + 0 545.333 * * [simplify]: Extracting #3: cost 65 inf + 0 545.333 * * [simplify]: Extracting #4: cost 114 inf + 370 545.334 * * [simplify]: Extracting #5: cost 151 inf + 1431 545.334 * * [simplify]: Extracting #6: cost 224 inf + 2770 545.336 * * [simplify]: Extracting #7: cost 211 inf + 5327 545.339 * * [simplify]: Extracting #8: cost 146 inf + 18537 545.345 * * [simplify]: Extracting #9: cost 79 inf + 41663 545.360 * * [simplify]: Extracting #10: cost 16 inf + 84257 545.379 * * [simplify]: Extracting #11: cost 1 inf + 97989 545.401 * * [simplify]: Extracting #12: cost 0 inf + 99814 545.420 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 545.420 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 545.421 * * * * [progress]: [ 1818 / 5906 ] simplifiying candidate # 545.421 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 545.421 * * [simplify]: iters left: 6 (52 enodes) 545.434 * * [simplify]: iters left: 5 (254 enodes) 545.492 * * [simplify]: Extracting #0: cost 1 inf + 0 545.492 * * [simplify]: Extracting #1: cost 3 inf + 0 545.492 * * [simplify]: Extracting #2: cost 6 inf + 0 545.492 * * [simplify]: Extracting #3: cost 56 inf + 0 545.493 * * [simplify]: Extracting #4: cost 130 inf + 0 545.493 * * [simplify]: Extracting #5: cost 210 inf + 0 545.494 * * [simplify]: Extracting #6: cost 290 inf + 45 545.495 * * [simplify]: Extracting #7: cost 234 inf + 7602 545.501 * * [simplify]: Extracting #8: cost 129 inf + 35695 545.511 * * [simplify]: Extracting #9: cost 55 inf + 65366 545.530 * * [simplify]: Extracting #10: cost 11 inf + 110544 545.556 * * [simplify]: Extracting #11: cost 1 inf + 122434 545.581 * * [simplify]: Extracting #12: cost 0 inf + 124499 545.606 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) 545.606 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 545.607 * * * * [progress]: [ 1819 / 5906 ] simplifiying candidate # 545.607 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 545.607 * * [simplify]: iters left: 6 (53 enodes) 545.621 * * [simplify]: iters left: 5 (263 enodes) 545.681 * * [simplify]: Extracting #0: cost 1 inf + 0 545.681 * * [simplify]: Extracting #1: cost 3 inf + 0 545.681 * * [simplify]: Extracting #2: cost 6 inf + 0 545.682 * * [simplify]: Extracting #3: cost 60 inf + 0 545.682 * * [simplify]: Extracting #4: cost 153 inf + 0 545.682 * * [simplify]: Extracting #5: cost 224 inf + 44 545.683 * * [simplify]: Extracting #6: cost 263 inf + 4720 545.686 * * [simplify]: Extracting #7: cost 226 inf + 11584 545.690 * * [simplify]: Extracting #8: cost 171 inf + 21878 545.697 * * [simplify]: Extracting #9: cost 104 inf + 48405 545.709 * * [simplify]: Extracting #10: cost 53 inf + 70911 545.725 * * [simplify]: Extracting #11: cost 35 inf + 84281 545.746 * * [simplify]: Extracting #12: cost 3 inf + 121961 545.771 * * [simplify]: Extracting #13: cost 0 inf + 127436 545.795 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 545.795 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 545.796 * * * * [progress]: [ 1820 / 5906 ] simplifiying candidate # 545.796 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 545.796 * * [simplify]: iters left: 6 (53 enodes) 545.811 * * [simplify]: iters left: 5 (263 enodes) 545.869 * * [simplify]: Extracting #0: cost 1 inf + 0 545.869 * * [simplify]: Extracting #1: cost 3 inf + 0 545.869 * * [simplify]: Extracting #2: cost 6 inf + 0 545.869 * * [simplify]: Extracting #3: cost 62 inf + 0 545.870 * * [simplify]: Extracting #4: cost 151 inf + 0 545.870 * * [simplify]: Extracting #5: cost 220 inf + 44 545.871 * * [simplify]: Extracting #6: cost 252 inf + 6416 545.874 * * [simplify]: Extracting #7: cost 223 inf + 11581 545.881 * * [simplify]: Extracting #8: cost 141 inf + 32053 545.891 * * [simplify]: Extracting #9: cost 61 inf + 63930 545.905 * * [simplify]: Extracting #10: cost 35 inf + 82993 545.927 * * [simplify]: Extracting #11: cost 5 inf + 117503 545.951 * * [simplify]: Extracting #12: cost 0 inf + 124188 545.976 * [simplify]: Simplified to (sqrt (+ (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 545.976 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 545.977 * * * * [progress]: [ 1821 / 5906 ] simplifiying candidate # 545.977 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 545.977 * * [simplify]: iters left: 6 (47 enodes) 545.989 * * [simplify]: iters left: 5 (227 enodes) 546.037 * * [simplify]: Extracting #0: cost 1 inf + 0 546.037 * * [simplify]: Extracting #1: cost 3 inf + 0 546.037 * * [simplify]: Extracting #2: cost 6 inf + 0 546.037 * * [simplify]: Extracting #3: cost 54 inf + 0 546.038 * * [simplify]: Extracting #4: cost 119 inf + 0 546.038 * * [simplify]: Extracting #5: cost 168 inf + 44 546.039 * * [simplify]: Extracting #6: cost 226 inf + 1559 546.040 * * [simplify]: Extracting #7: cost 203 inf + 5574 546.042 * * [simplify]: Extracting #8: cost 169 inf + 10165 546.049 * * [simplify]: Extracting #9: cost 111 inf + 29977 546.059 * * [simplify]: Extracting #10: cost 46 inf + 61861 546.076 * * [simplify]: Extracting #11: cost 3 inf + 96772 546.095 * * [simplify]: Extracting #12: cost 1 inf + 100062 546.116 * * [simplify]: Extracting #13: cost 0 inf + 101967 546.136 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))))) 546.136 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 546.137 * * * * [progress]: [ 1822 / 5906 ] simplifiying candidate # 546.137 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 546.137 * * [simplify]: iters left: 6 (52 enodes) 546.152 * * [simplify]: iters left: 5 (255 enodes) 546.206 * * [simplify]: Extracting #0: cost 1 inf + 0 546.206 * * [simplify]: Extracting #1: cost 3 inf + 0 546.206 * * [simplify]: Extracting #2: cost 10 inf + 0 546.207 * * [simplify]: Extracting #3: cost 74 inf + 0 546.207 * * [simplify]: Extracting #4: cost 137 inf + 1 546.207 * * [simplify]: Extracting #5: cost 189 inf + 248 546.208 * * [simplify]: Extracting #6: cost 250 inf + 2526 546.210 * * [simplify]: Extracting #7: cost 217 inf + 7521 546.213 * * [simplify]: Extracting #8: cost 142 inf + 24385 546.224 * * [simplify]: Extracting #9: cost 72 inf + 51562 546.236 * * [simplify]: Extracting #10: cost 34 inf + 77189 546.257 * * [simplify]: Extracting #11: cost 2 inf + 113688 546.281 * * [simplify]: Extracting #12: cost 0 inf + 116858 546.304 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 546.304 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 546.304 * * * * [progress]: [ 1823 / 5906 ] simplifiying candidate # 546.304 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 546.305 * * [simplify]: iters left: 6 (47 enodes) 546.318 * * [simplify]: iters left: 5 (227 enodes) 546.366 * * [simplify]: Extracting #0: cost 1 inf + 0 546.366 * * [simplify]: Extracting #1: cost 3 inf + 0 546.366 * * [simplify]: Extracting #2: cost 10 inf + 0 546.366 * * [simplify]: Extracting #3: cost 66 inf + 0 546.366 * * [simplify]: Extracting #4: cost 117 inf + 44 546.367 * * [simplify]: Extracting #5: cost 152 inf + 1228 546.367 * * [simplify]: Extracting #6: cost 216 inf + 2932 546.369 * * [simplify]: Extracting #7: cost 205 inf + 4925 546.371 * * [simplify]: Extracting #8: cost 164 inf + 11572 546.376 * * [simplify]: Extracting #9: cost 103 inf + 34064 546.388 * * [simplify]: Extracting #10: cost 45 inf + 57198 546.400 * * [simplify]: Extracting #11: cost 20 inf + 75557 546.417 * * [simplify]: Extracting #12: cost 3 inf + 92542 546.436 * * [simplify]: Extracting #13: cost 1 inf + 96152 546.455 * * [simplify]: Extracting #14: cost 0 inf + 97977 546.474 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 546.474 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 546.475 * * * * [progress]: [ 1824 / 5906 ] simplifiying candidate # 546.475 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 546.475 * * [simplify]: iters left: 6 (52 enodes) 546.490 * * [simplify]: iters left: 5 (255 enodes) 546.544 * * [simplify]: Extracting #0: cost 1 inf + 0 546.544 * * [simplify]: Extracting #1: cost 3 inf + 0 546.544 * * [simplify]: Extracting #2: cost 10 inf + 0 546.545 * * [simplify]: Extracting #3: cost 74 inf + 0 546.545 * * [simplify]: Extracting #4: cost 137 inf + 1 546.545 * * [simplify]: Extracting #5: cost 189 inf + 248 546.546 * * [simplify]: Extracting #6: cost 253 inf + 1679 546.548 * * [simplify]: Extracting #7: cost 222 inf + 6231 546.554 * * [simplify]: Extracting #8: cost 140 inf + 25475 546.563 * * [simplify]: Extracting #9: cost 69 inf + 53957 546.581 * * [simplify]: Extracting #10: cost 9 inf + 107294 546.604 * * [simplify]: Extracting #11: cost 1 inf + 115793 546.627 * * [simplify]: Extracting #12: cost 0 inf + 117818 546.650 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 546.650 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 546.650 * * * * [progress]: [ 1825 / 5906 ] simplifiying candidate # 546.651 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 546.651 * * [simplify]: iters left: 6 (47 enodes) 546.664 * * [simplify]: iters left: 5 (227 enodes) 546.711 * * [simplify]: Extracting #0: cost 1 inf + 0 546.711 * * [simplify]: Extracting #1: cost 3 inf + 0 546.712 * * [simplify]: Extracting #2: cost 10 inf + 0 546.712 * * [simplify]: Extracting #3: cost 65 inf + 0 546.712 * * [simplify]: Extracting #4: cost 116 inf + 86 546.712 * * [simplify]: Extracting #5: cost 149 inf + 1674 546.713 * * [simplify]: Extracting #6: cost 216 inf + 2932 546.715 * * [simplify]: Extracting #7: cost 206 inf + 4683 546.717 * * [simplify]: Extracting #8: cost 162 inf + 11816 546.721 * * [simplify]: Extracting #9: cost 116 inf + 26802 546.732 * * [simplify]: Extracting #10: cost 51 inf + 53095 546.744 * * [simplify]: Extracting #11: cost 20 inf + 75957 546.762 * * [simplify]: Extracting #12: cost 3 inf + 92942 546.781 * * [simplify]: Extracting #13: cost 1 inf + 96552 546.800 * * [simplify]: Extracting #14: cost 0 inf + 98377 546.819 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 546.819 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 546.820 * * * * [progress]: [ 1826 / 5906 ] simplifiying candidate # 546.820 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 546.820 * * [simplify]: iters left: 6 (48 enodes) 546.833 * * [simplify]: iters left: 5 (228 enodes) 546.885 * * [simplify]: Extracting #0: cost 1 inf + 0 546.885 * * [simplify]: Extracting #1: cost 3 inf + 0 546.885 * * [simplify]: Extracting #2: cost 6 inf + 0 546.885 * * [simplify]: Extracting #3: cost 48 inf + 0 546.885 * * [simplify]: Extracting #4: cost 112 inf + 0 546.885 * * [simplify]: Extracting #5: cost 178 inf + 0 546.886 * * [simplify]: Extracting #6: cost 240 inf + 298 546.887 * * [simplify]: Extracting #7: cost 209 inf + 4152 546.890 * * [simplify]: Extracting #8: cost 126 inf + 22945 546.900 * * [simplify]: Extracting #9: cost 51 inf + 50050 546.917 * * [simplify]: Extracting #10: cost 1 inf + 95741 546.936 * * [simplify]: Extracting #11: cost 0 inf + 97486 546.955 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 546.955 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 546.955 * * * * [progress]: [ 1827 / 5906 ] simplifiying candidate # 546.956 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 546.956 * * [simplify]: iters left: 6 (49 enodes) 546.968 * * [simplify]: iters left: 5 (237 enodes) 547.021 * * [simplify]: Extracting #0: cost 1 inf + 0 547.021 * * [simplify]: Extracting #1: cost 3 inf + 0 547.021 * * [simplify]: Extracting #2: cost 6 inf + 0 547.021 * * [simplify]: Extracting #3: cost 52 inf + 0 547.021 * * [simplify]: Extracting #4: cost 135 inf + 0 547.021 * * [simplify]: Extracting #5: cost 191 inf + 85 547.022 * * [simplify]: Extracting #6: cost 212 inf + 5368 547.025 * * [simplify]: Extracting #7: cost 185 inf + 10811 547.028 * * [simplify]: Extracting #8: cost 124 inf + 23972 547.036 * * [simplify]: Extracting #9: cost 49 inf + 53713 547.051 * * [simplify]: Extracting #10: cost 8 inf + 90166 547.072 * * [simplify]: Extracting #11: cost 1 inf + 98158 547.091 * * [simplify]: Extracting #12: cost 0 inf + 100023 547.110 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) 547.111 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 547.111 * * * * [progress]: [ 1828 / 5906 ] simplifiying candidate # 547.111 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 547.112 * * [simplify]: iters left: 6 (49 enodes) 547.124 * * [simplify]: iters left: 5 (237 enodes) 547.178 * * [simplify]: Extracting #0: cost 1 inf + 0 547.178 * * [simplify]: Extracting #1: cost 3 inf + 0 547.178 * * [simplify]: Extracting #2: cost 6 inf + 0 547.178 * * [simplify]: Extracting #3: cost 54 inf + 0 547.178 * * [simplify]: Extracting #4: cost 133 inf + 0 547.179 * * [simplify]: Extracting #5: cost 185 inf + 288 547.180 * * [simplify]: Extracting #6: cost 202 inf + 6256 547.182 * * [simplify]: Extracting #7: cost 184 inf + 10605 547.185 * * [simplify]: Extracting #8: cost 143 inf + 16850 547.191 * * [simplify]: Extracting #9: cost 80 inf + 41312 547.199 * * [simplify]: Extracting #10: cost 45 inf + 55010 547.214 * * [simplify]: Extracting #11: cost 9 inf + 86150 547.232 * * [simplify]: Extracting #12: cost 0 inf + 96455 547.252 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 547.252 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 547.253 * * * * [progress]: [ 1829 / 5906 ] simplifiying candidate # 547.253 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 547.254 * * [simplify]: iters left: 6 (43 enodes) 547.265 * * [simplify]: iters left: 5 (200 enodes) 547.306 * * [simplify]: iters left: 4 (499 enodes) 547.478 * * [simplify]: Extracting #0: cost 1 inf + 0 547.478 * * [simplify]: Extracting #1: cost 3 inf + 0 547.478 * * [simplify]: Extracting #2: cost 16 inf + 0 547.479 * * [simplify]: Extracting #3: cost 155 inf + 0 547.480 * * [simplify]: Extracting #4: cost 339 inf + 291 547.482 * * [simplify]: Extracting #5: cost 379 inf + 5290 547.485 * * [simplify]: Extracting #6: cost 480 inf + 10596 547.489 * * [simplify]: Extracting #7: cost 543 inf + 16638 547.511 * * [simplify]: Extracting #8: cost 309 inf + 114049 547.573 * * [simplify]: Extracting #9: cost 31 inf + 257222 547.637 * * [simplify]: Extracting #10: cost 6 inf + 264768 547.699 * * [simplify]: Extracting #11: cost 0 inf + 266451 547.764 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 547.764 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 547.765 * * * * [progress]: [ 1830 / 5906 ] simplifiying candidate # 547.765 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 547.765 * * [simplify]: iters left: 6 (48 enodes) 547.778 * * [simplify]: iters left: 5 (228 enodes) 547.827 * * [simplify]: Extracting #0: cost 1 inf + 0 547.827 * * [simplify]: Extracting #1: cost 3 inf + 0 547.827 * * [simplify]: Extracting #2: cost 10 inf + 0 547.827 * * [simplify]: Extracting #3: cost 62 inf + 0 547.827 * * [simplify]: Extracting #4: cost 115 inf + 42 547.828 * * [simplify]: Extracting #5: cost 155 inf + 207 547.828 * * [simplify]: Extracting #6: cost 199 inf + 2323 547.830 * * [simplify]: Extracting #7: cost 178 inf + 6296 547.833 * * [simplify]: Extracting #8: cost 106 inf + 24919 547.841 * * [simplify]: Extracting #9: cost 35 inf + 54283 547.856 * * [simplify]: Extracting #10: cost 3 inf + 84935 547.873 * * [simplify]: Extracting #11: cost 0 inf + 89490 547.890 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 547.891 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 547.891 * * * * [progress]: [ 1831 / 5906 ] simplifiying candidate # 547.891 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 547.892 * * [simplify]: iters left: 6 (43 enodes) 547.904 * * [simplify]: iters left: 5 (200 enodes) 547.944 * * [simplify]: iters left: 4 (480 enodes) 548.094 * * [simplify]: Extracting #0: cost 1 inf + 0 548.094 * * [simplify]: Extracting #1: cost 3 inf + 0 548.094 * * [simplify]: Extracting #2: cost 12 inf + 0 548.095 * * [simplify]: Extracting #3: cost 109 inf + 0 548.095 * * [simplify]: Extracting #4: cost 242 inf + 44 548.097 * * [simplify]: Extracting #5: cost 337 inf + 2123 548.103 * * [simplify]: Extracting #6: cost 431 inf + 6754 548.108 * * [simplify]: Extracting #7: cost 467 inf + 22841 548.124 * * [simplify]: Extracting #8: cost 270 inf + 90921 548.155 * * [simplify]: Extracting #9: cost 87 inf + 164155 548.197 * * [simplify]: Extracting #10: cost 21 inf + 205051 548.243 * * [simplify]: Extracting #11: cost 1 inf + 218126 548.291 * * [simplify]: Extracting #12: cost 0 inf + 219671 548.338 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 548.339 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 548.339 * * * * [progress]: [ 1832 / 5906 ] simplifiying candidate # 548.340 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 548.340 * * [simplify]: iters left: 6 (48 enodes) 548.353 * * [simplify]: iters left: 5 (228 enodes) 548.402 * * [simplify]: Extracting #0: cost 1 inf + 0 548.402 * * [simplify]: Extracting #1: cost 3 inf + 0 548.402 * * [simplify]: Extracting #2: cost 10 inf + 0 548.402 * * [simplify]: Extracting #3: cost 62 inf + 0 548.402 * * [simplify]: Extracting #4: cost 115 inf + 42 548.403 * * [simplify]: Extracting #5: cost 154 inf + 249 548.403 * * [simplify]: Extracting #6: cost 201 inf + 2322 548.405 * * [simplify]: Extracting #7: cost 179 inf + 6733 548.407 * * [simplify]: Extracting #8: cost 133 inf + 15937 548.412 * * [simplify]: Extracting #9: cost 78 inf + 37519 548.421 * * [simplify]: Extracting #10: cost 28 inf + 59470 548.436 * * [simplify]: Extracting #11: cost 3 inf + 85735 548.455 * * [simplify]: Extracting #12: cost 0 inf + 90290 548.473 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 548.473 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 548.473 * * * * [progress]: [ 1833 / 5906 ] simplifiying candidate # 548.473 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 548.474 * * [simplify]: iters left: 6 (43 enodes) 548.484 * * [simplify]: iters left: 5 (200 enodes) 548.526 * * [simplify]: iters left: 4 (480 enodes) 548.683 * * [simplify]: Extracting #0: cost 1 inf + 0 548.684 * * [simplify]: Extracting #1: cost 3 inf + 0 548.684 * * [simplify]: Extracting #2: cost 12 inf + 0 548.684 * * [simplify]: Extracting #3: cost 106 inf + 0 548.684 * * [simplify]: Extracting #4: cost 250 inf + 44 548.686 * * [simplify]: Extracting #5: cost 339 inf + 2771 548.688 * * [simplify]: Extracting #6: cost 438 inf + 6471 548.692 * * [simplify]: Extracting #7: cost 502 inf + 10982 548.703 * * [simplify]: Extracting #8: cost 335 inf + 62504 548.739 * * [simplify]: Extracting #9: cost 79 inf + 173412 548.786 * * [simplify]: Extracting #10: cost 6 inf + 218494 548.835 * * [simplify]: Extracting #11: cost 0 inf + 221889 548.884 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) 548.884 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 548.884 * * * * [progress]: [ 1834 / 5906 ] simplifiying candidate # 548.885 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 548.885 * * [simplify]: iters left: 6 (48 enodes) 548.897 * * [simplify]: iters left: 5 (231 enodes) 548.948 * * [simplify]: Extracting #0: cost 1 inf + 0 548.948 * * [simplify]: Extracting #1: cost 3 inf + 0 548.948 * * [simplify]: Extracting #2: cost 6 inf + 0 548.948 * * [simplify]: Extracting #3: cost 54 inf + 0 548.948 * * [simplify]: Extracting #4: cost 120 inf + 0 548.949 * * [simplify]: Extracting #5: cost 186 inf + 0 548.949 * * [simplify]: Extracting #6: cost 249 inf + 86 548.951 * * [simplify]: Extracting #7: cost 212 inf + 4479 548.953 * * [simplify]: Extracting #8: cost 159 inf + 14047 548.959 * * [simplify]: Extracting #9: cost 88 inf + 37630 548.971 * * [simplify]: Extracting #10: cost 33 inf + 68415 548.991 * * [simplify]: Extracting #11: cost 2 inf + 100630 549.011 * * [simplify]: Extracting #12: cost 0 inf + 104160 549.031 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 549.031 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 549.032 * * * * [progress]: [ 1835 / 5906 ] simplifiying candidate # 549.032 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 549.032 * * [simplify]: iters left: 6 (49 enodes) 549.045 * * [simplify]: iters left: 5 (240 enodes) 549.098 * * [simplify]: Extracting #0: cost 1 inf + 0 549.098 * * [simplify]: Extracting #1: cost 3 inf + 0 549.098 * * [simplify]: Extracting #2: cost 6 inf + 0 549.098 * * [simplify]: Extracting #3: cost 58 inf + 0 549.099 * * [simplify]: Extracting #4: cost 143 inf + 0 549.099 * * [simplify]: Extracting #5: cost 198 inf + 126 549.101 * * [simplify]: Extracting #6: cost 210 inf + 7745 549.103 * * [simplify]: Extracting #7: cost 185 inf + 12958 549.107 * * [simplify]: Extracting #8: cost 125 inf + 24983 549.114 * * [simplify]: Extracting #9: cost 68 inf + 47763 549.130 * * [simplify]: Extracting #10: cost 10 inf + 96710 549.150 * * [simplify]: Extracting #11: cost 0 inf + 107017 549.173 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 549.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 549.174 * * * * [progress]: [ 1836 / 5906 ] simplifiying candidate # 549.174 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 549.175 * * [simplify]: iters left: 6 (49 enodes) 549.187 * * [simplify]: iters left: 5 (240 enodes) 549.241 * * [simplify]: Extracting #0: cost 1 inf + 0 549.241 * * [simplify]: Extracting #1: cost 3 inf + 0 549.241 * * [simplify]: Extracting #2: cost 6 inf + 0 549.241 * * [simplify]: Extracting #3: cost 60 inf + 0 549.242 * * [simplify]: Extracting #4: cost 141 inf + 0 549.242 * * [simplify]: Extracting #5: cost 193 inf + 208 549.243 * * [simplify]: Extracting #6: cost 214 inf + 5729 549.245 * * [simplify]: Extracting #7: cost 190 inf + 10898 549.249 * * [simplify]: Extracting #8: cost 129 inf + 24410 549.258 * * [simplify]: Extracting #9: cost 54 inf + 56081 549.274 * * [simplify]: Extracting #10: cost 6 inf + 95840 549.294 * * [simplify]: Extracting #11: cost 0 inf + 103089 549.313 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 549.313 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 549.314 * * * * [progress]: [ 1837 / 5906 ] simplifiying candidate # 549.314 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 549.314 * * [simplify]: iters left: 6 (43 enodes) 549.327 * * [simplify]: iters left: 5 (204 enodes) 549.368 * * [simplify]: Extracting #0: cost 1 inf + 0 549.368 * * [simplify]: Extracting #1: cost 3 inf + 0 549.368 * * [simplify]: Extracting #2: cost 6 inf + 0 549.368 * * [simplify]: Extracting #3: cost 52 inf + 0 549.368 * * [simplify]: Extracting #4: cost 109 inf + 0 549.368 * * [simplify]: Extracting #5: cost 140 inf + 249 549.369 * * [simplify]: Extracting #6: cost 186 inf + 1558 549.370 * * [simplify]: Extracting #7: cost 168 inf + 4765 549.372 * * [simplify]: Extracting #8: cost 141 inf + 8865 549.377 * * [simplify]: Extracting #9: cost 79 inf + 31936 549.386 * * [simplify]: Extracting #10: cost 28 inf + 55985 549.403 * * [simplify]: Extracting #11: cost 2 inf + 79218 549.419 * * [simplify]: Extracting #12: cost 0 inf + 82388 549.436 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) 549.436 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 549.436 * * * * [progress]: [ 1838 / 5906 ] simplifiying candidate # 549.436 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 549.437 * * [simplify]: iters left: 6 (48 enodes) 549.449 * * [simplify]: iters left: 5 (232 enodes) 549.500 * * [simplify]: Extracting #0: cost 1 inf + 0 549.500 * * [simplify]: Extracting #1: cost 3 inf + 0 549.500 * * [simplify]: Extracting #2: cost 10 inf + 0 549.500 * * [simplify]: Extracting #3: cost 72 inf + 0 549.500 * * [simplify]: Extracting #4: cost 126 inf + 42 549.500 * * [simplify]: Extracting #5: cost 166 inf + 207 549.501 * * [simplify]: Extracting #6: cost 210 inf + 2162 549.503 * * [simplify]: Extracting #7: cost 190 inf + 6233 549.505 * * [simplify]: Extracting #8: cost 149 inf + 13770 549.510 * * [simplify]: Extracting #9: cost 92 inf + 35406 549.518 * * [simplify]: Extracting #10: cost 49 inf + 52334 549.527 * * [simplify]: Extracting #11: cost 32 inf + 64119 549.543 * * [simplify]: Extracting #12: cost 5 inf + 91034 549.562 * * [simplify]: Extracting #13: cost 0 inf + 98159 549.584 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 549.584 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 549.584 * * * * [progress]: [ 1839 / 5906 ] simplifiying candidate # 549.585 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 549.585 * * [simplify]: iters left: 6 (43 enodes) 549.597 * * [simplify]: iters left: 5 (204 enodes) 549.638 * * [simplify]: Extracting #0: cost 1 inf + 0 549.638 * * [simplify]: Extracting #1: cost 3 inf + 0 549.638 * * [simplify]: Extracting #2: cost 10 inf + 0 549.638 * * [simplify]: Extracting #3: cost 64 inf + 0 549.638 * * [simplify]: Extracting #4: cost 106 inf + 86 549.639 * * [simplify]: Extracting #5: cost 128 inf + 1148 549.639 * * [simplify]: Extracting #6: cost 176 inf + 2932 549.641 * * [simplify]: Extracting #7: cost 170 inf + 4358 549.643 * * [simplify]: Extracting #8: cost 109 inf + 19788 549.654 * * [simplify]: Extracting #9: cost 42 inf + 50855 549.668 * * [simplify]: Extracting #10: cost 7 inf + 74424 549.683 * * [simplify]: Extracting #11: cost 0 inf + 79238 549.698 * * [simplify]: Extracting #12: cost 0 inf + 79158 549.714 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 549.714 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 549.714 * * * * [progress]: [ 1840 / 5906 ] simplifiying candidate # 549.714 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 549.715 * * [simplify]: iters left: 6 (48 enodes) 549.727 * * [simplify]: iters left: 5 (232 enodes) 549.777 * * [simplify]: Extracting #0: cost 1 inf + 0 549.777 * * [simplify]: Extracting #1: cost 3 inf + 0 549.777 * * [simplify]: Extracting #2: cost 10 inf + 0 549.777 * * [simplify]: Extracting #3: cost 72 inf + 0 549.777 * * [simplify]: Extracting #4: cost 126 inf + 42 549.777 * * [simplify]: Extracting #5: cost 165 inf + 249 549.778 * * [simplify]: Extracting #6: cost 210 inf + 2404 549.780 * * [simplify]: Extracting #7: cost 191 inf + 6011 549.782 * * [simplify]: Extracting #8: cost 151 inf + 13095 549.787 * * [simplify]: Extracting #9: cost 93 inf + 35141 549.794 * * [simplify]: Extracting #10: cost 49 inf + 53134 549.804 * * [simplify]: Extracting #11: cost 33 inf + 64094 549.822 * * [simplify]: Extracting #12: cost 5 inf + 91834 549.841 * * [simplify]: Extracting #13: cost 0 inf + 98959 549.861 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) 549.861 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 549.861 * * * * [progress]: [ 1841 / 5906 ] simplifiying candidate # 549.861 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 549.862 * * [simplify]: iters left: 6 (43 enodes) 549.873 * * [simplify]: iters left: 5 (204 enodes) 549.916 * * [simplify]: Extracting #0: cost 1 inf + 0 549.917 * * [simplify]: Extracting #1: cost 3 inf + 0 549.917 * * [simplify]: Extracting #2: cost 10 inf + 0 549.917 * * [simplify]: Extracting #3: cost 63 inf + 0 549.917 * * [simplify]: Extracting #4: cost 107 inf + 44 549.917 * * [simplify]: Extracting #5: cost 130 inf + 1025 549.918 * * [simplify]: Extracting #6: cost 176 inf + 2932 549.919 * * [simplify]: Extracting #7: cost 168 inf + 4721 549.922 * * [simplify]: Extracting #8: cost 107 inf + 20977 549.931 * * [simplify]: Extracting #9: cost 39 inf + 52930 549.945 * * [simplify]: Extracting #10: cost 7 inf + 73944 549.960 * * [simplify]: Extracting #11: cost 0 inf + 79398 549.976 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 549.976 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 549.976 * * * * [progress]: [ 1842 / 5906 ] simplifiying candidate # 549.977 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 549.977 * * [simplify]: iters left: 6 (51 enodes) 549.990 * * [simplify]: iters left: 5 (244 enodes) 550.043 * * [simplify]: Extracting #0: cost 1 inf + 0 550.043 * * [simplify]: Extracting #1: cost 3 inf + 0 550.043 * * [simplify]: Extracting #2: cost 6 inf + 0 550.043 * * [simplify]: Extracting #3: cost 56 inf + 0 550.044 * * [simplify]: Extracting #4: cost 130 inf + 0 550.044 * * [simplify]: Extracting #5: cost 200 inf + 0 550.045 * * [simplify]: Extracting #6: cost 256 inf + 822 550.046 * * [simplify]: Extracting #7: cost 195 inf + 10268 550.050 * * [simplify]: Extracting #8: cost 130 inf + 28747 550.060 * * [simplify]: Extracting #9: cost 54 inf + 59303 550.073 * * [simplify]: Extracting #10: cost 36 inf + 72193 550.092 * * [simplify]: Extracting #11: cost 5 inf + 108088 550.114 * * [simplify]: Extracting #12: cost 1 inf + 114428 550.137 * * [simplify]: Extracting #13: cost 0 inf + 116453 550.159 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 550.160 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 550.160 * * * * [progress]: [ 1843 / 5906 ] simplifiying candidate # 550.160 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 550.161 * * [simplify]: iters left: 6 (52 enodes) 550.176 * * [simplify]: iters left: 5 (253 enodes) 550.231 * * [simplify]: Extracting #0: cost 1 inf + 0 550.231 * * [simplify]: Extracting #1: cost 3 inf + 0 550.231 * * [simplify]: Extracting #2: cost 6 inf + 0 550.231 * * [simplify]: Extracting #3: cost 60 inf + 0 550.231 * * [simplify]: Extracting #4: cost 153 inf + 0 550.232 * * [simplify]: Extracting #5: cost 214 inf + 44 550.233 * * [simplify]: Extracting #6: cost 242 inf + 3395 550.236 * * [simplify]: Extracting #7: cost 176 inf + 16858 550.243 * * [simplify]: Extracting #8: cost 136 inf + 32489 550.251 * * [simplify]: Extracting #9: cost 96 inf + 50126 550.261 * * [simplify]: Extracting #10: cost 51 inf + 65755 550.277 * * [simplify]: Extracting #11: cost 14 inf + 100480 550.299 * * [simplify]: Extracting #12: cost 1 inf + 116925 550.322 * * [simplify]: Extracting #13: cost 0 inf + 118990 550.345 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 550.345 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 550.346 * * * * [progress]: [ 1844 / 5906 ] simplifiying candidate # 550.346 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 550.346 * * [simplify]: iters left: 6 (52 enodes) 550.359 * * [simplify]: iters left: 5 (253 enodes) 550.416 * * [simplify]: Extracting #0: cost 1 inf + 0 550.416 * * [simplify]: Extracting #1: cost 3 inf + 0 550.416 * * [simplify]: Extracting #2: cost 6 inf + 0 550.416 * * [simplify]: Extracting #3: cost 62 inf + 0 550.416 * * [simplify]: Extracting #4: cost 151 inf + 0 550.417 * * [simplify]: Extracting #5: cost 210 inf + 44 550.418 * * [simplify]: Extracting #6: cost 208 inf + 9655 550.423 * * [simplify]: Extracting #7: cost 152 inf + 27503 550.429 * * [simplify]: Extracting #8: cost 122 inf + 40380 550.437 * * [simplify]: Extracting #9: cost 88 inf + 50953 550.447 * * [simplify]: Extracting #10: cost 50 inf + 64932 550.464 * * [simplify]: Extracting #11: cost 11 inf + 103427 550.485 * * [simplify]: Extracting #12: cost 1 inf + 114597 550.510 * * [simplify]: Extracting #13: cost 0 inf + 116662 550.533 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 550.533 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 550.534 * * * * [progress]: [ 1845 / 5906 ] simplifiying candidate # 550.534 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 550.534 * * [simplify]: iters left: 6 (46 enodes) 550.546 * * [simplify]: iters left: 5 (217 enodes) 550.592 * * [simplify]: Extracting #0: cost 1 inf + 0 550.592 * * [simplify]: Extracting #1: cost 3 inf + 0 550.593 * * [simplify]: Extracting #2: cost 6 inf + 0 550.593 * * [simplify]: Extracting #3: cost 54 inf + 0 550.593 * * [simplify]: Extracting #4: cost 119 inf + 0 550.593 * * [simplify]: Extracting #5: cost 157 inf + 85 550.594 * * [simplify]: Extracting #6: cost 194 inf + 2451 550.595 * * [simplify]: Extracting #7: cost 169 inf + 6356 550.598 * * [simplify]: Extracting #8: cost 141 inf + 14991 550.603 * * [simplify]: Extracting #9: cost 94 inf + 34201 550.611 * * [simplify]: Extracting #10: cost 48 inf + 50107 550.621 * * [simplify]: Extracting #11: cost 29 inf + 61516 550.636 * * [simplify]: Extracting #12: cost 5 inf + 87036 550.653 * * [simplify]: Extracting #13: cost 0 inf + 94001 550.673 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) 550.673 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 550.674 * * * * [progress]: [ 1846 / 5906 ] simplifiying candidate # 550.674 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 550.674 * * [simplify]: iters left: 6 (51 enodes) 550.687 * * [simplify]: iters left: 5 (245 enodes) 550.738 * * [simplify]: Extracting #0: cost 1 inf + 0 550.738 * * [simplify]: Extracting #1: cost 3 inf + 0 550.738 * * [simplify]: Extracting #2: cost 10 inf + 0 550.738 * * [simplify]: Extracting #3: cost 74 inf + 0 550.739 * * [simplify]: Extracting #4: cost 137 inf + 1 550.739 * * [simplify]: Extracting #5: cost 179 inf + 249 550.742 * * [simplify]: Extracting #6: cost 213 inf + 3147 550.745 * * [simplify]: Extracting #7: cost 168 inf + 16346 550.751 * * [simplify]: Extracting #8: cost 97 inf + 42515 550.759 * * [simplify]: Extracting #9: cost 54 inf + 57262 550.776 * * [simplify]: Extracting #10: cost 6 inf + 99342 550.797 * * [simplify]: Extracting #11: cost 1 inf + 106747 550.818 * * [simplify]: Extracting #12: cost 0 inf + 108332 550.841 * * [simplify]: Extracting #13: cost 0 inf + 108292 550.862 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 550.862 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 550.862 * * * * [progress]: [ 1847 / 5906 ] simplifiying candidate # 550.862 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 550.863 * * [simplify]: iters left: 6 (46 enodes) 550.875 * * [simplify]: iters left: 5 (217 enodes) 550.919 * * [simplify]: Extracting #0: cost 1 inf + 0 550.919 * * [simplify]: Extracting #1: cost 3 inf + 0 550.919 * * [simplify]: Extracting #2: cost 10 inf + 0 550.920 * * [simplify]: Extracting #3: cost 66 inf + 0 550.922 * * [simplify]: Extracting #4: cost 117 inf + 44 550.922 * * [simplify]: Extracting #5: cost 144 inf + 944 550.923 * * [simplify]: Extracting #6: cost 188 inf + 3138 550.925 * * [simplify]: Extracting #7: cost 170 inf + 6471 550.928 * * [simplify]: Extracting #8: cost 130 inf + 20302 550.934 * * [simplify]: Extracting #9: cost 83 inf + 37980 550.943 * * [simplify]: Extracting #10: cost 32 inf + 56811 550.955 * * [simplify]: Extracting #11: cost 12 inf + 75031 550.973 * * [simplify]: Extracting #12: cost 1 inf + 88106 550.994 * * [simplify]: Extracting #13: cost 0 inf + 89891 551.012 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) 551.012 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 551.012 * * * * [progress]: [ 1848 / 5906 ] simplifiying candidate # 551.013 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 551.013 * * [simplify]: iters left: 6 (51 enodes) 551.027 * * [simplify]: iters left: 5 (245 enodes) 551.079 * * [simplify]: Extracting #0: cost 1 inf + 0 551.079 * * [simplify]: Extracting #1: cost 3 inf + 0 551.079 * * [simplify]: Extracting #2: cost 10 inf + 0 551.079 * * [simplify]: Extracting #3: cost 74 inf + 0 551.079 * * [simplify]: Extracting #4: cost 137 inf + 1 551.080 * * [simplify]: Extracting #5: cost 180 inf + 207 551.081 * * [simplify]: Extracting #6: cost 214 inf + 3307 551.083 * * [simplify]: Extracting #7: cost 165 inf + 17112 551.091 * * [simplify]: Extracting #8: cost 124 inf + 35121 551.098 * * [simplify]: Extracting #9: cost 88 inf + 46743 551.107 * * [simplify]: Extracting #10: cost 44 inf + 66152 551.124 * * [simplify]: Extracting #11: cost 6 inf + 100302 551.144 * * [simplify]: Extracting #12: cost 1 inf + 107707 551.166 * * [simplify]: Extracting #13: cost 0 inf + 109292 551.188 * * [simplify]: Extracting #14: cost 0 inf + 109252 551.209 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 551.209 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 551.209 * * * * [progress]: [ 1849 / 5906 ] simplifiying candidate # 551.210 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 551.210 * * [simplify]: iters left: 6 (46 enodes) 551.222 * * [simplify]: iters left: 5 (217 enodes) 551.266 * * [simplify]: Extracting #0: cost 1 inf + 0 551.266 * * [simplify]: Extracting #1: cost 3 inf + 0 551.266 * * [simplify]: Extracting #2: cost 10 inf + 0 551.266 * * [simplify]: Extracting #3: cost 65 inf + 0 551.266 * * [simplify]: Extracting #4: cost 117 inf + 44 551.266 * * [simplify]: Extracting #5: cost 142 inf + 1228 551.269 * * [simplify]: Extracting #6: cost 189 inf + 3016 551.271 * * [simplify]: Extracting #7: cost 173 inf + 5945 551.274 * * [simplify]: Extracting #8: cost 132 inf + 19454 551.280 * * [simplify]: Extracting #9: cost 81 inf + 38856 551.289 * * [simplify]: Extracting #10: cost 32 inf + 57211 551.302 * * [simplify]: Extracting #11: cost 12 inf + 74871 551.318 * * [simplify]: Extracting #12: cost 1 inf + 87746 551.336 * * [simplify]: Extracting #13: cost 0 inf + 89491 551.353 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 551.353 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 551.353 * * * * [progress]: [ 1850 / 5906 ] simplifiying candidate # 551.354 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 551.354 * * [simplify]: iters left: 6 (50 enodes) 551.368 * * [simplify]: iters left: 5 (240 enodes) 551.419 * * [simplify]: Extracting #0: cost 1 inf + 0 551.419 * * [simplify]: Extracting #1: cost 3 inf + 0 551.419 * * [simplify]: Extracting #2: cost 6 inf + 0 551.419 * * [simplify]: Extracting #3: cost 57 inf + 0 551.419 * * [simplify]: Extracting #4: cost 128 inf + 0 551.420 * * [simplify]: Extracting #5: cost 192 inf + 0 551.420 * * [simplify]: Extracting #6: cost 262 inf + 45 551.421 * * [simplify]: Extracting #7: cost 230 inf + 4030 551.425 * * [simplify]: Extracting #8: cost 130 inf + 27336 551.437 * * [simplify]: Extracting #9: cost 46 inf + 67281 551.455 * * [simplify]: Extracting #10: cost 7 inf + 102422 551.475 * * [simplify]: Extracting #11: cost 1 inf + 110052 551.496 * * [simplify]: Extracting #12: cost 0 inf + 111837 551.517 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 551.517 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 551.517 * * * * [progress]: [ 1851 / 5906 ] simplifiying candidate # 551.518 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 551.518 * * [simplify]: iters left: 6 (51 enodes) 551.533 * * [simplify]: iters left: 5 (249 enodes) 551.586 * * [simplify]: Extracting #0: cost 1 inf + 0 551.586 * * [simplify]: Extracting #1: cost 3 inf + 0 551.586 * * [simplify]: Extracting #2: cost 6 inf + 0 551.587 * * [simplify]: Extracting #3: cost 61 inf + 0 551.587 * * [simplify]: Extracting #4: cost 151 inf + 0 551.587 * * [simplify]: Extracting #5: cost 206 inf + 44 551.588 * * [simplify]: Extracting #6: cost 243 inf + 3666 551.591 * * [simplify]: Extracting #7: cost 194 inf + 13335 551.597 * * [simplify]: Extracting #8: cost 118 inf + 36605 551.612 * * [simplify]: Extracting #9: cost 36 inf + 78636 551.631 * * [simplify]: Extracting #10: cost 4 inf + 108994 551.653 * * [simplify]: Extracting #11: cost 0 inf + 114854 551.675 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 551.675 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 551.676 * * * * [progress]: [ 1852 / 5906 ] simplifiying candidate # 551.676 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 551.676 * * [simplify]: iters left: 6 (51 enodes) 551.689 * * [simplify]: iters left: 5 (249 enodes) 551.743 * * [simplify]: Extracting #0: cost 1 inf + 0 551.743 * * [simplify]: Extracting #1: cost 3 inf + 0 551.743 * * [simplify]: Extracting #2: cost 6 inf + 0 551.743 * * [simplify]: Extracting #3: cost 63 inf + 0 551.744 * * [simplify]: Extracting #4: cost 149 inf + 0 551.744 * * [simplify]: Extracting #5: cost 202 inf + 44 551.745 * * [simplify]: Extracting #6: cost 238 inf + 3228 551.747 * * [simplify]: Extracting #7: cost 202 inf + 10269 551.751 * * [simplify]: Extracting #8: cost 155 inf + 21963 551.758 * * [simplify]: Extracting #9: cost 97 inf + 46263 551.777 * * [simplify]: Extracting #10: cost 9 inf + 102263 551.797 * * [simplify]: Extracting #11: cost 0 inf + 112246 551.818 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 551.819 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 551.819 * * * * [progress]: [ 1853 / 5906 ] simplifiying candidate # 551.819 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 551.820 * * [simplify]: iters left: 6 (45 enodes) 551.831 * * [simplify]: iters left: 5 (213 enodes) 551.876 * * [simplify]: Extracting #0: cost 1 inf + 0 551.876 * * [simplify]: Extracting #1: cost 3 inf + 0 551.876 * * [simplify]: Extracting #2: cost 6 inf + 0 551.876 * * [simplify]: Extracting #3: cost 55 inf + 0 551.877 * * [simplify]: Extracting #4: cost 117 inf + 0 551.877 * * [simplify]: Extracting #5: cost 151 inf + 2 551.877 * * [simplify]: Extracting #6: cost 210 inf + 416 551.878 * * [simplify]: Extracting #7: cost 184 inf + 3876 551.881 * * [simplify]: Extracting #8: cost 149 inf + 10435 551.885 * * [simplify]: Extracting #9: cost 104 inf + 27049 551.893 * * [simplify]: Extracting #10: cost 51 inf + 47656 551.908 * * [simplify]: Extracting #11: cost 4 inf + 85725 551.926 * * [simplify]: Extracting #12: cost 0 inf + 89825 551.945 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (* phi1 phi1) (* phi2 phi2))))))) 551.945 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 551.946 * * * * [progress]: [ 1854 / 5906 ] simplifiying candidate # 551.946 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 551.946 * * [simplify]: iters left: 6 (50 enodes) 551.959 * * [simplify]: iters left: 5 (241 enodes) 552.009 * * [simplify]: Extracting #0: cost 1 inf + 0 552.009 * * [simplify]: Extracting #1: cost 3 inf + 0 552.009 * * [simplify]: Extracting #2: cost 10 inf + 0 552.009 * * [simplify]: Extracting #3: cost 75 inf + 0 552.010 * * [simplify]: Extracting #4: cost 142 inf + 1 552.010 * * [simplify]: Extracting #5: cost 179 inf + 207 552.011 * * [simplify]: Extracting #6: cost 231 inf + 1919 552.012 * * [simplify]: Extracting #7: cost 205 inf + 6751 552.018 * * [simplify]: Extracting #8: cost 139 inf + 21778 552.027 * * [simplify]: Extracting #9: cost 61 inf + 60422 552.044 * * [simplify]: Extracting #10: cost 8 inf + 100655 552.064 * * [simplify]: Extracting #11: cost 1 inf + 108426 552.084 * * [simplify]: Extracting #12: cost 0 inf + 110211 552.105 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 552.105 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 552.106 * * * * [progress]: [ 1855 / 5906 ] simplifiying candidate # 552.107 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 552.107 * * [simplify]: iters left: 6 (45 enodes) 552.120 * * [simplify]: iters left: 5 (213 enodes) 552.162 * * [simplify]: Extracting #0: cost 1 inf + 0 552.162 * * [simplify]: Extracting #1: cost 3 inf + 0 552.162 * * [simplify]: Extracting #2: cost 10 inf + 0 552.162 * * [simplify]: Extracting #3: cost 67 inf + 0 552.163 * * [simplify]: Extracting #4: cost 121 inf + 86 552.163 * * [simplify]: Extracting #5: cost 132 inf + 2606 552.164 * * [simplify]: Extracting #6: cost 195 inf + 2932 552.165 * * [simplify]: Extracting #7: cost 187 inf + 4800 552.168 * * [simplify]: Extracting #8: cost 134 inf + 18766 552.177 * * [simplify]: Extracting #9: cost 47 inf + 61198 552.196 * * [simplify]: Extracting #10: cost 4 inf + 89317 552.214 * * [simplify]: Extracting #11: cost 0 inf + 90810 552.232 * * [simplify]: Extracting #12: cost 0 inf + 90770 552.250 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 552.250 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 552.250 * * * * [progress]: [ 1856 / 5906 ] simplifiying candidate # 552.251 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 552.251 * * [simplify]: iters left: 6 (50 enodes) 552.264 * * [simplify]: iters left: 5 (241 enodes) 552.315 * * [simplify]: Extracting #0: cost 1 inf + 0 552.315 * * [simplify]: Extracting #1: cost 3 inf + 0 552.315 * * [simplify]: Extracting #2: cost 10 inf + 0 552.315 * * [simplify]: Extracting #3: cost 75 inf + 0 552.316 * * [simplify]: Extracting #4: cost 142 inf + 1 552.316 * * [simplify]: Extracting #5: cost 179 inf + 207 552.317 * * [simplify]: Extracting #6: cost 230 inf + 2242 552.318 * * [simplify]: Extracting #7: cost 203 inf + 7185 552.322 * * [simplify]: Extracting #8: cost 138 inf + 22401 552.330 * * [simplify]: Extracting #9: cost 62 inf + 59877 552.347 * * [simplify]: Extracting #10: cost 8 inf + 101615 552.370 * * [simplify]: Extracting #11: cost 1 inf + 109546 552.391 * * [simplify]: Extracting #12: cost 0 inf + 111331 552.411 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 552.411 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 552.412 * * * * [progress]: [ 1857 / 5906 ] simplifiying candidate # 552.412 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 552.412 * * [simplify]: iters left: 6 (45 enodes) 552.424 * * [simplify]: iters left: 5 (213 enodes) 552.468 * * [simplify]: Extracting #0: cost 1 inf + 0 552.468 * * [simplify]: Extracting #1: cost 3 inf + 0 552.468 * * [simplify]: Extracting #2: cost 10 inf + 0 552.468 * * [simplify]: Extracting #3: cost 66 inf + 0 552.469 * * [simplify]: Extracting #4: cost 122 inf + 44 552.469 * * [simplify]: Extracting #5: cost 143 inf + 985 552.470 * * [simplify]: Extracting #6: cost 195 inf + 2932 552.471 * * [simplify]: Extracting #7: cost 185 inf + 5123 552.474 * * [simplify]: Extracting #8: cost 132 inf + 19214 552.483 * * [simplify]: Extracting #9: cost 45 inf + 62868 552.500 * * [simplify]: Extracting #10: cost 4 inf + 89677 552.517 * * [simplify]: Extracting #11: cost 0 inf + 91210 552.535 * * [simplify]: Extracting #12: cost 0 inf + 91170 552.556 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 552.556 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 552.557 * * * * [progress]: [ 1858 / 5906 ] simplifiying candidate # 552.557 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 552.557 * * [simplify]: iters left: 6 (51 enodes) 552.570 * * [simplify]: iters left: 5 (245 enodes) 552.625 * * [simplify]: Extracting #0: cost 1 inf + 0 552.625 * * [simplify]: Extracting #1: cost 3 inf + 0 552.625 * * [simplify]: Extracting #2: cost 6 inf + 0 552.625 * * [simplify]: Extracting #3: cost 56 inf + 0 552.625 * * [simplify]: Extracting #4: cost 130 inf + 0 552.626 * * [simplify]: Extracting #5: cost 200 inf + 0 552.626 * * [simplify]: Extracting #6: cost 257 inf + 993 552.628 * * [simplify]: Extracting #7: cost 190 inf + 13168 552.633 * * [simplify]: Extracting #8: cost 144 inf + 27430 552.640 * * [simplify]: Extracting #9: cost 87 inf + 50552 552.650 * * [simplify]: Extracting #10: cost 48 inf + 65375 552.667 * * [simplify]: Extracting #11: cost 10 inf + 104085 552.690 * * [simplify]: Extracting #12: cost 1 inf + 115030 552.714 * * [simplify]: Extracting #13: cost 0 inf + 117055 552.736 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 552.737 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 552.737 * * * * [progress]: [ 1859 / 5906 ] simplifiying candidate # 552.737 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 552.738 * * [simplify]: iters left: 6 (52 enodes) 552.751 * * [simplify]: iters left: 5 (254 enodes) 552.807 * * [simplify]: Extracting #0: cost 1 inf + 0 552.807 * * [simplify]: Extracting #1: cost 3 inf + 0 552.807 * * [simplify]: Extracting #2: cost 6 inf + 0 552.807 * * [simplify]: Extracting #3: cost 60 inf + 0 552.808 * * [simplify]: Extracting #4: cost 153 inf + 0 552.808 * * [simplify]: Extracting #5: cost 214 inf + 44 552.810 * * [simplify]: Extracting #6: cost 229 inf + 6224 552.813 * * [simplify]: Extracting #7: cost 169 inf + 20591 552.819 * * [simplify]: Extracting #8: cost 125 inf + 40941 552.827 * * [simplify]: Extracting #9: cost 96 inf + 50509 552.838 * * [simplify]: Extracting #10: cost 54 inf + 64522 552.855 * * [simplify]: Extracting #11: cost 14 inf + 101722 552.880 * * [simplify]: Extracting #12: cost 1 inf + 117687 552.904 * * [simplify]: Extracting #13: cost 0 inf + 119312 552.927 * * [simplify]: Extracting #14: cost 0 inf + 119232 552.951 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))) 552.951 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 552.951 * * * * [progress]: [ 1860 / 5906 ] simplifiying candidate # 552.952 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 552.952 * * [simplify]: iters left: 6 (52 enodes) 552.965 * * [simplify]: iters left: 5 (254 enodes) 553.020 * * [simplify]: Extracting #0: cost 1 inf + 0 553.020 * * [simplify]: Extracting #1: cost 3 inf + 0 553.020 * * [simplify]: Extracting #2: cost 6 inf + 0 553.021 * * [simplify]: Extracting #3: cost 62 inf + 0 553.021 * * [simplify]: Extracting #4: cost 151 inf + 0 553.021 * * [simplify]: Extracting #5: cost 210 inf + 44 553.023 * * [simplify]: Extracting #6: cost 230 inf + 4453 553.026 * * [simplify]: Extracting #7: cost 175 inf + 17901 553.032 * * [simplify]: Extracting #8: cost 125 inf + 40015 553.040 * * [simplify]: Extracting #9: cost 85 inf + 53293 553.058 * * [simplify]: Extracting #10: cost 20 inf + 95804 553.080 * * [simplify]: Extracting #11: cost 1 inf + 116119 553.102 * * [simplify]: Extracting #12: cost 0 inf + 118224 553.125 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 553.125 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 553.126 * * * * [progress]: [ 1861 / 5906 ] simplifiying candidate # 553.126 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 553.126 * * [simplify]: iters left: 6 (46 enodes) 553.138 * * [simplify]: iters left: 5 (218 enodes) 553.186 * * [simplify]: Extracting #0: cost 1 inf + 0 553.186 * * [simplify]: Extracting #1: cost 3 inf + 0 553.186 * * [simplify]: Extracting #2: cost 6 inf + 0 553.186 * * [simplify]: Extracting #3: cost 54 inf + 0 553.186 * * [simplify]: Extracting #4: cost 119 inf + 0 553.186 * * [simplify]: Extracting #5: cost 157 inf + 85 553.187 * * [simplify]: Extracting #6: cost 195 inf + 2491 553.189 * * [simplify]: Extracting #7: cost 168 inf + 7244 553.192 * * [simplify]: Extracting #8: cost 112 inf + 24043 553.200 * * [simplify]: Extracting #9: cost 58 inf + 47096 553.210 * * [simplify]: Extracting #10: cost 33 inf + 59404 553.227 * * [simplify]: Extracting #11: cost 4 inf + 88383 553.244 * * [simplify]: Extracting #12: cost 0 inf + 94283 553.262 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 553.262 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 553.263 * * * * [progress]: [ 1862 / 5906 ] simplifiying candidate # 553.263 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 553.263 * * [simplify]: iters left: 6 (51 enodes) 553.276 * * [simplify]: iters left: 5 (246 enodes) 553.330 * * [simplify]: Extracting #0: cost 1 inf + 0 553.330 * * [simplify]: Extracting #1: cost 3 inf + 0 553.330 * * [simplify]: Extracting #2: cost 10 inf + 0 553.330 * * [simplify]: Extracting #3: cost 74 inf + 0 553.330 * * [simplify]: Extracting #4: cost 136 inf + 42 553.331 * * [simplify]: Extracting #5: cost 179 inf + 249 553.332 * * [simplify]: Extracting #6: cost 213 inf + 3109 553.335 * * [simplify]: Extracting #7: cost 163 inf + 17899 553.340 * * [simplify]: Extracting #8: cost 125 inf + 33668 553.346 * * [simplify]: Extracting #9: cost 103 inf + 39732 553.354 * * [simplify]: Extracting #10: cost 56 inf + 56694 553.369 * * [simplify]: Extracting #11: cost 16 inf + 90494 553.391 * * [simplify]: Extracting #12: cost 1 inf + 107189 553.412 * * [simplify]: Extracting #13: cost 0 inf + 108774 553.433 * * [simplify]: Extracting #14: cost 0 inf + 108734 553.454 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))) 553.454 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 553.455 * * * * [progress]: [ 1863 / 5906 ] simplifiying candidate # 553.455 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 553.455 * * [simplify]: iters left: 6 (46 enodes) 553.467 * * [simplify]: iters left: 5 (218 enodes) 553.514 * * [simplify]: Extracting #0: cost 1 inf + 0 553.514 * * [simplify]: Extracting #1: cost 3 inf + 0 553.514 * * [simplify]: Extracting #2: cost 10 inf + 0 553.514 * * [simplify]: Extracting #3: cost 66 inf + 0 553.515 * * [simplify]: Extracting #4: cost 116 inf + 86 553.515 * * [simplify]: Extracting #5: cost 133 inf + 2566 553.516 * * [simplify]: Extracting #6: cost 189 inf + 3138 553.518 * * [simplify]: Extracting #7: cost 168 inf + 6519 553.522 * * [simplify]: Extracting #8: cost 103 inf + 28374 553.530 * * [simplify]: Extracting #9: cost 51 inf + 49444 553.541 * * [simplify]: Extracting #10: cost 17 inf + 72630 553.557 * * [simplify]: Extracting #11: cost 1 inf + 87868 553.577 * * [simplify]: Extracting #12: cost 0 inf + 89453 553.594 * * [simplify]: Extracting #13: cost 0 inf + 89333 553.611 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 553.611 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 553.612 * * * * [progress]: [ 1864 / 5906 ] simplifiying candidate # 553.612 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 553.612 * * [simplify]: iters left: 6 (51 enodes) 553.625 * * [simplify]: iters left: 5 (246 enodes) 553.678 * * [simplify]: Extracting #0: cost 1 inf + 0 553.678 * * [simplify]: Extracting #1: cost 3 inf + 0 553.679 * * [simplify]: Extracting #2: cost 10 inf + 0 553.679 * * [simplify]: Extracting #3: cost 74 inf + 0 553.679 * * [simplify]: Extracting #4: cost 137 inf + 1 553.679 * * [simplify]: Extracting #5: cost 180 inf + 207 553.680 * * [simplify]: Extracting #6: cost 216 inf + 2705 553.683 * * [simplify]: Extracting #7: cost 167 inf + 15315 553.688 * * [simplify]: Extracting #8: cost 126 inf + 33784 553.695 * * [simplify]: Extracting #9: cost 95 inf + 43810 553.703 * * [simplify]: Extracting #10: cost 54 inf + 58584 553.718 * * [simplify]: Extracting #11: cost 16 inf + 91454 553.740 * * [simplify]: Extracting #12: cost 1 inf + 108149 553.762 * * [simplify]: Extracting #13: cost 0 inf + 109734 553.783 * * [simplify]: Extracting #14: cost 0 inf + 109694 553.804 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))))) 553.805 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 553.806 * * * * [progress]: [ 1865 / 5906 ] simplifiying candidate # 553.806 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 553.806 * * [simplify]: iters left: 6 (46 enodes) 553.818 * * [simplify]: iters left: 5 (218 enodes) 553.864 * * [simplify]: Extracting #0: cost 1 inf + 0 553.864 * * [simplify]: Extracting #1: cost 3 inf + 0 553.864 * * [simplify]: Extracting #2: cost 10 inf + 0 553.864 * * [simplify]: Extracting #3: cost 65 inf + 0 553.864 * * [simplify]: Extracting #4: cost 117 inf + 44 553.864 * * [simplify]: Extracting #5: cost 145 inf + 862 553.865 * * [simplify]: Extracting #6: cost 190 inf + 2976 553.867 * * [simplify]: Extracting #7: cost 171 inf + 6273 553.870 * * [simplify]: Extracting #8: cost 120 inf + 19557 553.876 * * [simplify]: Extracting #9: cost 66 inf + 41332 553.888 * * [simplify]: Extracting #10: cost 18 inf + 72858 553.906 * * [simplify]: Extracting #11: cost 1 inf + 88508 553.923 * * [simplify]: Extracting #12: cost 0 inf + 89893 553.941 * * [simplify]: Extracting #13: cost 0 inf + 89733 553.958 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 553.958 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 553.959 * * * * [progress]: [ 1866 / 5906 ] simplifiying candidate # 553.959 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 553.959 * * [simplify]: iters left: 6 (52 enodes) 553.972 * * [simplify]: iters left: 5 (254 enodes) 554.029 * * [simplify]: Extracting #0: cost 1 inf + 0 554.029 * * [simplify]: Extracting #1: cost 3 inf + 0 554.029 * * [simplify]: Extracting #2: cost 6 inf + 0 554.030 * * [simplify]: Extracting #3: cost 56 inf + 0 554.030 * * [simplify]: Extracting #4: cost 130 inf + 0 554.030 * * [simplify]: Extracting #5: cost 207 inf + 0 554.031 * * [simplify]: Extracting #6: cost 293 inf + 294 554.033 * * [simplify]: Extracting #7: cost 231 inf + 9788 554.037 * * [simplify]: Extracting #8: cost 153 inf + 31120 554.046 * * [simplify]: Extracting #9: cost 92 inf + 55717 554.058 * * [simplify]: Extracting #10: cost 48 inf + 72103 554.080 * * [simplify]: Extracting #11: cost 8 inf + 113823 554.103 * * [simplify]: Extracting #12: cost 0 inf + 124823 554.128 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) 554.129 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 554.129 * * * * [progress]: [ 1867 / 5906 ] simplifiying candidate # 554.129 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 554.130 * * [simplify]: iters left: 6 (53 enodes) 554.143 * * [simplify]: iters left: 5 (263 enodes) 554.202 * * [simplify]: Extracting #0: cost 1 inf + 0 554.202 * * [simplify]: Extracting #1: cost 3 inf + 0 554.203 * * [simplify]: Extracting #2: cost 6 inf + 0 554.203 * * [simplify]: Extracting #3: cost 60 inf + 0 554.203 * * [simplify]: Extracting #4: cost 153 inf + 0 554.203 * * [simplify]: Extracting #5: cost 221 inf + 44 554.205 * * [simplify]: Extracting #6: cost 266 inf + 5130 554.207 * * [simplify]: Extracting #7: cost 223 inf + 13270 554.212 * * [simplify]: Extracting #8: cost 154 inf + 30570 554.222 * * [simplify]: Extracting #9: cost 91 inf + 60196 554.237 * * [simplify]: Extracting #10: cost 45 inf + 76835 554.255 * * [simplify]: Extracting #11: cost 14 inf + 108530 554.279 * * [simplify]: Extracting #12: cost 0 inf + 126240 554.303 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 554.303 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 554.303 * * * * [progress]: [ 1868 / 5906 ] simplifiying candidate # 554.303 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 554.304 * * [simplify]: iters left: 6 (53 enodes) 554.317 * * [simplify]: iters left: 5 (263 enodes) 554.376 * * [simplify]: Extracting #0: cost 1 inf + 0 554.376 * * [simplify]: Extracting #1: cost 3 inf + 0 554.376 * * [simplify]: Extracting #2: cost 6 inf + 0 554.376 * * [simplify]: Extracting #3: cost 62 inf + 0 554.377 * * [simplify]: Extracting #4: cost 151 inf + 0 554.377 * * [simplify]: Extracting #5: cost 216 inf + 86 554.378 * * [simplify]: Extracting #6: cost 263 inf + 4608 554.381 * * [simplify]: Extracting #7: cost 212 inf + 14768 554.386 * * [simplify]: Extracting #8: cost 159 inf + 29035 554.398 * * [simplify]: Extracting #9: cost 94 inf + 57597 554.409 * * [simplify]: Extracting #10: cost 52 inf + 72492 554.429 * * [simplify]: Extracting #11: cost 13 inf + 110787 554.452 * * [simplify]: Extracting #12: cost 0 inf + 126512 554.476 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 554.477 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 554.477 * * * * [progress]: [ 1869 / 5906 ] simplifiying candidate # 554.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 554.478 * * [simplify]: iters left: 6 (47 enodes) 554.491 * * [simplify]: iters left: 5 (227 enodes) 554.540 * * [simplify]: Extracting #0: cost 1 inf + 0 554.540 * * [simplify]: Extracting #1: cost 3 inf + 0 554.540 * * [simplify]: Extracting #2: cost 6 inf + 0 554.540 * * [simplify]: Extracting #3: cost 54 inf + 0 554.540 * * [simplify]: Extracting #4: cost 119 inf + 0 554.541 * * [simplify]: Extracting #5: cost 165 inf + 44 554.541 * * [simplify]: Extracting #6: cost 231 inf + 1442 554.543 * * [simplify]: Extracting #7: cost 190 inf + 9102 554.548 * * [simplify]: Extracting #8: cost 112 inf + 32968 554.558 * * [simplify]: Extracting #9: cost 55 inf + 56940 554.577 * * [simplify]: Extracting #10: cost 8 inf + 92597 554.596 * * [simplify]: Extracting #11: cost 1 inf + 99306 554.616 * * [simplify]: Extracting #12: cost 0 inf + 101131 554.636 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 554.636 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 554.637 * * * * [progress]: [ 1870 / 5906 ] simplifiying candidate # 554.637 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 554.637 * * [simplify]: iters left: 6 (52 enodes) 554.651 * * [simplify]: iters left: 5 (255 enodes) 554.713 * * [simplify]: Extracting #0: cost 1 inf + 0 554.714 * * [simplify]: Extracting #1: cost 3 inf + 0 554.714 * * [simplify]: Extracting #2: cost 10 inf + 0 554.714 * * [simplify]: Extracting #3: cost 74 inf + 0 554.714 * * [simplify]: Extracting #4: cost 137 inf + 1 554.714 * * [simplify]: Extracting #5: cost 186 inf + 248 554.715 * * [simplify]: Extracting #6: cost 252 inf + 2336 554.718 * * [simplify]: Extracting #7: cost 192 inf + 15837 554.724 * * [simplify]: Extracting #8: cost 138 inf + 34163 554.732 * * [simplify]: Extracting #9: cost 91 inf + 52938 554.746 * * [simplify]: Extracting #10: cost 36 inf + 76962 554.765 * * [simplify]: Extracting #11: cost 7 inf + 106247 554.788 * * [simplify]: Extracting #12: cost 0 inf + 116302 554.811 * * [simplify]: Extracting #13: cost 0 inf + 116262 554.834 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 554.834 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 554.835 * * * * [progress]: [ 1871 / 5906 ] simplifiying candidate # 554.835 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 554.835 * * [simplify]: iters left: 6 (47 enodes) 554.848 * * [simplify]: iters left: 5 (227 enodes) 554.896 * * [simplify]: Extracting #0: cost 1 inf + 0 554.896 * * [simplify]: Extracting #1: cost 3 inf + 0 554.896 * * [simplify]: Extracting #2: cost 10 inf + 0 554.896 * * [simplify]: Extracting #3: cost 66 inf + 0 554.896 * * [simplify]: Extracting #4: cost 117 inf + 44 554.897 * * [simplify]: Extracting #5: cost 147 inf + 1592 554.898 * * [simplify]: Extracting #6: cost 220 inf + 3059 554.900 * * [simplify]: Extracting #7: cost 179 inf + 11404 554.904 * * [simplify]: Extracting #8: cost 129 inf + 30055 554.914 * * [simplify]: Extracting #9: cost 93 inf + 43597 554.924 * * [simplify]: Extracting #10: cost 39 inf + 62434 554.939 * * [simplify]: Extracting #11: cost 4 inf + 90761 554.957 * * [simplify]: Extracting #12: cost 1 inf + 95196 554.976 * * [simplify]: Extracting #13: cost 0 inf + 96981 554.996 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 554.996 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 554.997 * * * * [progress]: [ 1872 / 5906 ] simplifiying candidate # 554.997 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 554.998 * * [simplify]: iters left: 6 (52 enodes) 555.012 * * [simplify]: iters left: 5 (255 enodes) 555.067 * * [simplify]: Extracting #0: cost 1 inf + 0 555.067 * * [simplify]: Extracting #1: cost 3 inf + 0 555.067 * * [simplify]: Extracting #2: cost 10 inf + 0 555.067 * * [simplify]: Extracting #3: cost 74 inf + 0 555.068 * * [simplify]: Extracting #4: cost 137 inf + 1 555.068 * * [simplify]: Extracting #5: cost 186 inf + 248 555.069 * * [simplify]: Extracting #6: cost 255 inf + 2011 555.072 * * [simplify]: Extracting #7: cost 193 inf + 16077 555.080 * * [simplify]: Extracting #8: cost 134 inf + 36435 555.088 * * [simplify]: Extracting #9: cost 89 inf + 54668 555.099 * * [simplify]: Extracting #10: cost 50 inf + 68852 555.118 * * [simplify]: Extracting #11: cost 7 inf + 107207 555.141 * * [simplify]: Extracting #12: cost 0 inf + 117262 555.164 * * [simplify]: Extracting #13: cost 0 inf + 117222 555.188 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 555.189 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 555.189 * * * * [progress]: [ 1873 / 5906 ] simplifiying candidate # 555.189 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 555.190 * * [simplify]: iters left: 6 (47 enodes) 555.201 * * [simplify]: iters left: 5 (227 enodes) 555.249 * * [simplify]: Extracting #0: cost 1 inf + 0 555.249 * * [simplify]: Extracting #1: cost 3 inf + 0 555.249 * * [simplify]: Extracting #2: cost 10 inf + 0 555.249 * * [simplify]: Extracting #3: cost 65 inf + 0 555.249 * * [simplify]: Extracting #4: cost 117 inf + 44 555.250 * * [simplify]: Extracting #5: cost 154 inf + 659 555.250 * * [simplify]: Extracting #6: cost 222 inf + 2735 555.254 * * [simplify]: Extracting #7: cost 181 inf + 11160 555.260 * * [simplify]: Extracting #8: cost 128 inf + 29335 555.266 * * [simplify]: Extracting #9: cost 96 inf + 42802 555.276 * * [simplify]: Extracting #10: cost 41 inf + 61784 555.292 * * [simplify]: Extracting #11: cost 2 inf + 93811 555.311 * * [simplify]: Extracting #12: cost 1 inf + 95596 555.330 * * [simplify]: Extracting #13: cost 0 inf + 97381 555.349 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 555.350 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 555.350 * * * * [progress]: [ 1874 / 5906 ] simplifiying candidate # 555.350 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 555.351 * * [simplify]: iters left: 6 (52 enodes) 555.364 * * [simplify]: iters left: 5 (253 enodes) 555.423 * * [simplify]: Extracting #0: cost 1 inf + 0 555.423 * * [simplify]: Extracting #1: cost 3 inf + 0 555.423 * * [simplify]: Extracting #2: cost 6 inf + 0 555.424 * * [simplify]: Extracting #3: cost 56 inf + 0 555.424 * * [simplify]: Extracting #4: cost 130 inf + 0 555.424 * * [simplify]: Extracting #5: cost 210 inf + 0 555.425 * * [simplify]: Extracting #6: cost 287 inf + 335 555.427 * * [simplify]: Extracting #7: cost 228 inf + 8382 555.431 * * [simplify]: Extracting #8: cost 139 inf + 31123 555.441 * * [simplify]: Extracting #9: cost 63 inf + 61405 555.453 * * [simplify]: Extracting #10: cost 45 inf + 72409 555.473 * * [simplify]: Extracting #11: cost 6 inf + 114824 555.496 * * [simplify]: Extracting #12: cost 1 inf + 122149 555.522 * * [simplify]: Extracting #13: cost 0 inf + 124174 555.546 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 555.546 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 555.547 * * * * [progress]: [ 1875 / 5906 ] simplifiying candidate # 555.547 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 555.547 * * [simplify]: iters left: 6 (53 enodes) 555.561 * * [simplify]: iters left: 5 (262 enodes) 555.622 * * [simplify]: Extracting #0: cost 1 inf + 0 555.622 * * [simplify]: Extracting #1: cost 3 inf + 0 555.622 * * [simplify]: Extracting #2: cost 6 inf + 0 555.622 * * [simplify]: Extracting #3: cost 60 inf + 0 555.623 * * [simplify]: Extracting #4: cost 153 inf + 0 555.623 * * [simplify]: Extracting #5: cost 223 inf + 85 555.625 * * [simplify]: Extracting #6: cost 263 inf + 4486 555.627 * * [simplify]: Extracting #7: cost 209 inf + 13529 555.632 * * [simplify]: Extracting #8: cost 153 inf + 27905 555.641 * * [simplify]: Extracting #9: cost 103 inf + 49962 555.653 * * [simplify]: Extracting #10: cost 53 inf + 71186 555.667 * * [simplify]: Extracting #11: cost 36 inf + 84091 555.690 * * [simplify]: Extracting #12: cost 3 inf + 122876 555.714 * * [simplify]: Extracting #13: cost 0 inf + 127271 555.739 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 555.739 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 555.739 * * * * [progress]: [ 1876 / 5906 ] simplifiying candidate # 555.740 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 555.740 * * [simplify]: iters left: 6 (53 enodes) 555.754 * * [simplify]: iters left: 5 (262 enodes) 555.813 * * [simplify]: Extracting #0: cost 1 inf + 0 555.814 * * [simplify]: Extracting #1: cost 3 inf + 0 555.814 * * [simplify]: Extracting #2: cost 6 inf + 0 555.814 * * [simplify]: Extracting #3: cost 62 inf + 0 555.814 * * [simplify]: Extracting #4: cost 151 inf + 0 555.814 * * [simplify]: Extracting #5: cost 220 inf + 44 555.816 * * [simplify]: Extracting #6: cost 259 inf + 4727 555.818 * * [simplify]: Extracting #7: cost 202 inf + 14536 555.823 * * [simplify]: Extracting #8: cost 155 inf + 26996 555.831 * * [simplify]: Extracting #9: cost 98 inf + 51317 555.845 * * [simplify]: Extracting #10: cost 46 inf + 74313 555.864 * * [simplify]: Extracting #11: cost 10 inf + 113293 555.888 * * [simplify]: Extracting #12: cost 0 inf + 124863 555.911 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 555.912 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 555.912 * * * * [progress]: [ 1877 / 5906 ] simplifiying candidate # 555.912 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 555.913 * * [simplify]: iters left: 6 (47 enodes) 555.925 * * [simplify]: iters left: 5 (226 enodes) 555.977 * * [simplify]: Extracting #0: cost 1 inf + 0 555.977 * * [simplify]: Extracting #1: cost 3 inf + 0 555.977 * * [simplify]: Extracting #2: cost 6 inf + 0 555.977 * * [simplify]: Extracting #3: cost 54 inf + 0 555.977 * * [simplify]: Extracting #4: cost 119 inf + 0 555.977 * * [simplify]: Extracting #5: cost 164 inf + 532 555.978 * * [simplify]: Extracting #6: cost 219 inf + 2737 555.980 * * [simplify]: Extracting #7: cost 183 inf + 8427 555.984 * * [simplify]: Extracting #8: cost 125 inf + 23739 555.993 * * [simplify]: Extracting #9: cost 52 inf + 56762 556.011 * * [simplify]: Extracting #10: cost 6 inf + 93665 556.030 * * [simplify]: Extracting #11: cost 1 inf + 99697 556.050 * * [simplify]: Extracting #12: cost 0 inf + 101522 556.070 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 556.070 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 556.070 * * * * [progress]: [ 1878 / 5906 ] simplifiying candidate # 556.071 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 556.071 * * [simplify]: iters left: 6 (52 enodes) 556.084 * * [simplify]: iters left: 5 (254 enodes) 556.141 * * [simplify]: Extracting #0: cost 1 inf + 0 556.141 * * [simplify]: Extracting #1: cost 3 inf + 0 556.141 * * [simplify]: Extracting #2: cost 10 inf + 0 556.142 * * [simplify]: Extracting #3: cost 74 inf + 0 556.142 * * [simplify]: Extracting #4: cost 137 inf + 1 556.142 * * [simplify]: Extracting #5: cost 190 inf + 207 556.143 * * [simplify]: Extracting #6: cost 231 inf + 5126 556.147 * * [simplify]: Extracting #7: cost 169 inf + 23338 556.154 * * [simplify]: Extracting #8: cost 126 inf + 38773 556.160 * * [simplify]: Extracting #9: cost 119 inf + 40720 556.168 * * [simplify]: Extracting #10: cost 94 inf + 49678 556.182 * * [simplify]: Extracting #11: cost 38 inf + 74103 556.201 * * [simplify]: Extracting #12: cost 7 inf + 105238 556.223 * * [simplify]: Extracting #13: cost 1 inf + 112948 556.246 * * [simplify]: Extracting #14: cost 0 inf + 114973 556.271 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 556.271 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 556.271 * * * * [progress]: [ 1879 / 5906 ] simplifiying candidate # 556.271 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 556.272 * * [simplify]: iters left: 6 (47 enodes) 556.285 * * [simplify]: iters left: 5 (226 enodes) 556.333 * * [simplify]: Extracting #0: cost 1 inf + 0 556.333 * * [simplify]: Extracting #1: cost 3 inf + 0 556.333 * * [simplify]: Extracting #2: cost 10 inf + 0 556.333 * * [simplify]: Extracting #3: cost 66 inf + 0 556.333 * * [simplify]: Extracting #4: cost 117 inf + 44 556.334 * * [simplify]: Extracting #5: cost 154 inf + 1064 556.335 * * [simplify]: Extracting #6: cost 216 inf + 3057 556.337 * * [simplify]: Extracting #7: cost 179 inf + 9554 556.341 * * [simplify]: Extracting #8: cost 132 inf + 24514 556.348 * * [simplify]: Extracting #9: cost 86 inf + 42871 556.360 * * [simplify]: Extracting #10: cost 37 inf + 61100 556.375 * * [simplify]: Extracting #11: cost 3 inf + 89937 556.394 * * [simplify]: Extracting #12: cost 0 inf + 95172 556.413 * * [simplify]: Extracting #13: cost 0 inf + 95132 556.432 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 556.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 556.432 * * * * [progress]: [ 1880 / 5906 ] simplifiying candidate # 556.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 556.433 * * [simplify]: iters left: 6 (52 enodes) 556.446 * * [simplify]: iters left: 5 (254 enodes) 556.503 * * [simplify]: Extracting #0: cost 1 inf + 0 556.503 * * [simplify]: Extracting #1: cost 3 inf + 0 556.503 * * [simplify]: Extracting #2: cost 10 inf + 0 556.503 * * [simplify]: Extracting #3: cost 74 inf + 0 556.503 * * [simplify]: Extracting #4: cost 137 inf + 1 556.504 * * [simplify]: Extracting #5: cost 190 inf + 207 556.505 * * [simplify]: Extracting #6: cost 232 inf + 5285 556.509 * * [simplify]: Extracting #7: cost 174 inf + 21864 556.515 * * [simplify]: Extracting #8: cost 130 inf + 39035 556.524 * * [simplify]: Extracting #9: cost 119 inf + 41680 556.532 * * [simplify]: Extracting #10: cost 93 inf + 50902 556.544 * * [simplify]: Extracting #11: cost 38 inf + 75063 556.564 * * [simplify]: Extracting #12: cost 7 inf + 106198 556.586 * * [simplify]: Extracting #13: cost 1 inf + 113908 556.610 * * [simplify]: Extracting #14: cost 0 inf + 115933 556.633 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 556.633 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 556.634 * * * * [progress]: [ 1881 / 5906 ] simplifiying candidate # 556.634 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 556.635 * * [simplify]: iters left: 6 (47 enodes) 556.647 * * [simplify]: iters left: 5 (226 enodes) 556.693 * * [simplify]: Extracting #0: cost 1 inf + 0 556.693 * * [simplify]: Extracting #1: cost 3 inf + 0 556.693 * * [simplify]: Extracting #2: cost 10 inf + 0 556.694 * * [simplify]: Extracting #3: cost 65 inf + 0 556.694 * * [simplify]: Extracting #4: cost 116 inf + 86 556.694 * * [simplify]: Extracting #5: cost 150 inf + 1512 556.695 * * [simplify]: Extracting #6: cost 216 inf + 3017 556.699 * * [simplify]: Extracting #7: cost 180 inf + 9312 556.704 * * [simplify]: Extracting #8: cost 132 inf + 25758 556.710 * * [simplify]: Extracting #9: cost 86 inf + 43532 556.720 * * [simplify]: Extracting #10: cost 38 inf + 61288 556.735 * * [simplify]: Extracting #11: cost 3 inf + 90337 556.754 * * [simplify]: Extracting #12: cost 0 inf + 95572 556.772 * * [simplify]: Extracting #13: cost 0 inf + 95532 556.792 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 556.792 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 556.792 * * * * [progress]: [ 1882 / 5906 ] simplifiying candidate # 556.792 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 556.793 * * [simplify]: iters left: 6 (52 enodes) 556.806 * * [simplify]: iters left: 5 (254 enodes) 556.862 * * [simplify]: Extracting #0: cost 1 inf + 0 556.862 * * [simplify]: Extracting #1: cost 3 inf + 0 556.862 * * [simplify]: Extracting #2: cost 6 inf + 0 556.862 * * [simplify]: Extracting #3: cost 56 inf + 0 556.862 * * [simplify]: Extracting #4: cost 130 inf + 0 556.865 * * [simplify]: Extracting #5: cost 210 inf + 0 556.866 * * [simplify]: Extracting #6: cost 282 inf + 213 556.868 * * [simplify]: Extracting #7: cost 212 inf + 12055 556.873 * * [simplify]: Extracting #8: cost 117 inf + 38018 556.884 * * [simplify]: Extracting #9: cost 51 inf + 66748 556.904 * * [simplify]: Extracting #10: cost 9 inf + 112217 556.926 * * [simplify]: Extracting #11: cost 1 inf + 121377 556.950 * * [simplify]: Extracting #12: cost 0 inf + 123402 556.974 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 556.974 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 556.975 * * * * [progress]: [ 1883 / 5906 ] simplifiying candidate # 556.975 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 556.975 * * [simplify]: iters left: 6 (53 enodes) 556.989 * * [simplify]: iters left: 5 (263 enodes) 557.049 * * [simplify]: Extracting #0: cost 1 inf + 0 557.049 * * [simplify]: Extracting #1: cost 3 inf + 0 557.049 * * [simplify]: Extracting #2: cost 6 inf + 0 557.050 * * [simplify]: Extracting #3: cost 60 inf + 0 557.050 * * [simplify]: Extracting #4: cost 153 inf + 0 557.050 * * [simplify]: Extracting #5: cost 224 inf + 44 557.052 * * [simplify]: Extracting #6: cost 257 inf + 5009 557.054 * * [simplify]: Extracting #7: cost 203 inf + 14590 557.059 * * [simplify]: Extracting #8: cost 148 inf + 30104 557.068 * * [simplify]: Extracting #9: cost 97 inf + 53911 557.079 * * [simplify]: Extracting #10: cost 50 inf + 72091 557.099 * * [simplify]: Extracting #11: cost 4 inf + 120359 557.125 * * [simplify]: Extracting #12: cost 0 inf + 126419 557.148 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 557.148 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 557.149 * * * * [progress]: [ 1884 / 5906 ] simplifiying candidate # 557.149 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 557.150 * * [simplify]: iters left: 6 (53 enodes) 557.163 * * [simplify]: iters left: 5 (263 enodes) 557.226 * * [simplify]: Extracting #0: cost 1 inf + 0 557.226 * * [simplify]: Extracting #1: cost 3 inf + 0 557.226 * * [simplify]: Extracting #2: cost 6 inf + 0 557.226 * * [simplify]: Extracting #3: cost 62 inf + 0 557.226 * * [simplify]: Extracting #4: cost 151 inf + 0 557.227 * * [simplify]: Extracting #5: cost 220 inf + 44 557.228 * * [simplify]: Extracting #6: cost 250 inf + 5014 557.231 * * [simplify]: Extracting #7: cost 191 inf + 15565 557.236 * * [simplify]: Extracting #8: cost 128 inf + 34771 557.247 * * [simplify]: Extracting #9: cost 59 inf + 64062 557.260 * * [simplify]: Extracting #10: cost 35 inf + 83016 557.283 * * [simplify]: Extracting #11: cost 4 inf + 118471 557.307 * * [simplify]: Extracting #12: cost 0 inf + 124091 557.330 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 557.330 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 557.331 * * * * [progress]: [ 1885 / 5906 ] simplifiying candidate # 557.331 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 557.331 * * [simplify]: iters left: 6 (47 enodes) 557.343 * * [simplify]: iters left: 5 (227 enodes) 557.393 * * [simplify]: Extracting #0: cost 1 inf + 0 557.393 * * [simplify]: Extracting #1: cost 3 inf + 0 557.393 * * [simplify]: Extracting #2: cost 6 inf + 0 557.393 * * [simplify]: Extracting #3: cost 54 inf + 0 557.394 * * [simplify]: Extracting #4: cost 119 inf + 0 557.394 * * [simplify]: Extracting #5: cost 168 inf + 44 557.395 * * [simplify]: Extracting #6: cost 222 inf + 1560 557.396 * * [simplify]: Extracting #7: cost 182 inf + 7898 557.399 * * [simplify]: Extracting #8: cost 154 inf + 13242 557.404 * * [simplify]: Extracting #9: cost 109 inf + 29545 557.412 * * [simplify]: Extracting #10: cost 50 inf + 54307 557.424 * * [simplify]: Extracting #11: cost 24 inf + 71070 557.441 * * [simplify]: Extracting #12: cost 3 inf + 92915 557.462 * * [simplify]: Extracting #13: cost 1 inf + 96605 557.481 * * [simplify]: Extracting #14: cost 0 inf + 98470 557.501 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 557.502 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 557.502 * * * * [progress]: [ 1886 / 5906 ] simplifiying candidate # 557.502 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 557.503 * * [simplify]: iters left: 6 (52 enodes) 557.516 * * [simplify]: iters left: 5 (255 enodes) 557.573 * * [simplify]: Extracting #0: cost 1 inf + 0 557.573 * * [simplify]: Extracting #1: cost 3 inf + 0 557.573 * * [simplify]: Extracting #2: cost 10 inf + 0 557.573 * * [simplify]: Extracting #3: cost 74 inf + 0 557.573 * * [simplify]: Extracting #4: cost 137 inf + 1 557.574 * * [simplify]: Extracting #5: cost 190 inf + 207 557.575 * * [simplify]: Extracting #6: cost 224 inf + 5729 557.579 * * [simplify]: Extracting #7: cost 168 inf + 23363 557.586 * * [simplify]: Extracting #8: cost 104 inf + 44834 557.596 * * [simplify]: Extracting #9: cost 55 inf + 61906 557.616 * * [simplify]: Extracting #10: cost 8 inf + 105241 557.639 * * [simplify]: Extracting #11: cost 0 inf + 114001 557.661 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 557.662 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 557.662 * * * * [progress]: [ 1887 / 5906 ] simplifiying candidate # 557.662 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 557.663 * * [simplify]: iters left: 6 (47 enodes) 557.675 * * [simplify]: iters left: 5 (227 enodes) 557.724 * * [simplify]: Extracting #0: cost 1 inf + 0 557.724 * * [simplify]: Extracting #1: cost 3 inf + 0 557.724 * * [simplify]: Extracting #2: cost 10 inf + 0 557.724 * * [simplify]: Extracting #3: cost 66 inf + 0 557.725 * * [simplify]: Extracting #4: cost 117 inf + 44 557.725 * * [simplify]: Extracting #5: cost 153 inf + 1186 557.726 * * [simplify]: Extracting #6: cost 210 inf + 3057 557.727 * * [simplify]: Extracting #7: cost 187 inf + 6763 557.730 * * [simplify]: Extracting #8: cost 145 inf + 16944 557.737 * * [simplify]: Extracting #9: cost 96 inf + 37660 557.746 * * [simplify]: Extracting #10: cost 39 inf + 59160 557.760 * * [simplify]: Extracting #11: cost 11 inf + 79885 557.777 * * [simplify]: Extracting #12: cost 3 inf + 88885 557.799 * * [simplify]: Extracting #13: cost 1 inf + 92415 557.818 * * [simplify]: Extracting #14: cost 0 inf + 94200 557.836 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 557.836 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 557.837 * * * * [progress]: [ 1888 / 5906 ] simplifiying candidate # 557.837 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 557.837 * * [simplify]: iters left: 6 (52 enodes) 557.850 * * [simplify]: iters left: 5 (255 enodes) 557.907 * * [simplify]: Extracting #0: cost 1 inf + 0 557.907 * * [simplify]: Extracting #1: cost 3 inf + 0 557.907 * * [simplify]: Extracting #2: cost 10 inf + 0 557.907 * * [simplify]: Extracting #3: cost 74 inf + 0 557.907 * * [simplify]: Extracting #4: cost 137 inf + 1 557.908 * * [simplify]: Extracting #5: cost 190 inf + 207 557.909 * * [simplify]: Extracting #6: cost 228 inf + 4801 557.912 * * [simplify]: Extracting #7: cost 180 inf + 18405 557.919 * * [simplify]: Extracting #8: cost 102 inf + 46150 557.929 * * [simplify]: Extracting #9: cost 55 inf + 62866 557.946 * * [simplify]: Extracting #10: cost 9 inf + 104176 557.971 * * [simplify]: Extracting #11: cost 1 inf + 112936 557.994 * * [simplify]: Extracting #12: cost 0 inf + 114961 558.017 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 558.017 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 558.017 * * * * [progress]: [ 1889 / 5906 ] simplifiying candidate # 558.018 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 558.018 * * [simplify]: iters left: 6 (47 enodes) 558.030 * * [simplify]: iters left: 5 (227 enodes) 558.079 * * [simplify]: Extracting #0: cost 1 inf + 0 558.079 * * [simplify]: Extracting #1: cost 3 inf + 0 558.079 * * [simplify]: Extracting #2: cost 10 inf + 0 558.079 * * [simplify]: Extracting #3: cost 65 inf + 0 558.079 * * [simplify]: Extracting #4: cost 116 inf + 86 558.080 * * [simplify]: Extracting #5: cost 150 inf + 1512 558.081 * * [simplify]: Extracting #6: cost 210 inf + 3017 558.083 * * [simplify]: Extracting #7: cost 179 inf + 9465 558.087 * * [simplify]: Extracting #8: cost 132 inf + 24225 558.094 * * [simplify]: Extracting #9: cost 92 inf + 40673 558.104 * * [simplify]: Extracting #10: cost 40 inf + 59215 558.118 * * [simplify]: Extracting #11: cost 10 inf + 81070 558.138 * * [simplify]: Extracting #12: cost 3 inf + 89285 558.156 * * [simplify]: Extracting #13: cost 1 inf + 92815 558.175 * * [simplify]: Extracting #14: cost 0 inf + 94600 558.194 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 558.194 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 558.194 * * * * [progress]: [ 1890 / 5906 ] simplifiying candidate # 558.194 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 558.195 * * [simplify]: iters left: 6 (41 enodes) 558.205 * * [simplify]: iters left: 5 (189 enodes) 558.247 * * [simplify]: Extracting #0: cost 1 inf + 0 558.247 * * [simplify]: Extracting #1: cost 3 inf + 0 558.247 * * [simplify]: Extracting #2: cost 6 inf + 0 558.247 * * [simplify]: Extracting #3: cost 48 inf + 0 558.247 * * [simplify]: Extracting #4: cost 112 inf + 0 558.248 * * [simplify]: Extracting #5: cost 170 inf + 0 558.248 * * [simplify]: Extracting #6: cost 213 inf + 252 558.249 * * [simplify]: Extracting #7: cost 178 inf + 5259 558.252 * * [simplify]: Extracting #8: cost 107 inf + 22346 558.258 * * [simplify]: Extracting #9: cost 66 inf + 36680 558.266 * * [simplify]: Extracting #10: cost 35 inf + 48263 558.284 * * [simplify]: Extracting #11: cost 4 inf + 76998 558.301 * * [simplify]: Extracting #12: cost 0 inf + 80658 558.319 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 558.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 558.320 * * * * [progress]: [ 1891 / 5906 ] simplifiying candidate # 558.320 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 558.321 * * [simplify]: iters left: 6 (42 enodes) 558.332 * * [simplify]: iters left: 5 (198 enodes) 558.373 * * [simplify]: Extracting #0: cost 1 inf + 0 558.373 * * [simplify]: Extracting #1: cost 3 inf + 0 558.373 * * [simplify]: Extracting #2: cost 6 inf + 0 558.373 * * [simplify]: Extracting #3: cost 52 inf + 0 558.373 * * [simplify]: Extracting #4: cost 135 inf + 0 558.373 * * [simplify]: Extracting #5: cost 181 inf + 209 558.374 * * [simplify]: Extracting #6: cost 212 inf + 1763 558.376 * * [simplify]: Extracting #7: cost 151 inf + 10538 558.379 * * [simplify]: Extracting #8: cost 109 inf + 22317 558.388 * * [simplify]: Extracting #9: cost 66 inf + 40017 558.397 * * [simplify]: Extracting #10: cost 28 inf + 55215 558.410 * * [simplify]: Extracting #11: cost 4 inf + 76455 558.425 * * [simplify]: Extracting #12: cost 0 inf + 80515 558.441 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 558.442 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 558.442 * * * * [progress]: [ 1892 / 5906 ] simplifiying candidate # 558.442 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 558.443 * * [simplify]: iters left: 6 (42 enodes) 558.453 * * [simplify]: iters left: 5 (198 enodes) 558.496 * * [simplify]: Extracting #0: cost 1 inf + 0 558.496 * * [simplify]: Extracting #1: cost 3 inf + 0 558.497 * * [simplify]: Extracting #2: cost 6 inf + 0 558.497 * * [simplify]: Extracting #3: cost 54 inf + 0 558.497 * * [simplify]: Extracting #4: cost 133 inf + 0 558.497 * * [simplify]: Extracting #5: cost 179 inf + 86 558.498 * * [simplify]: Extracting #6: cost 209 inf + 2065 558.500 * * [simplify]: Extracting #7: cost 153 inf + 9535 558.503 * * [simplify]: Extracting #8: cost 101 inf + 25314 558.509 * * [simplify]: Extracting #9: cost 68 inf + 37854 558.518 * * [simplify]: Extracting #10: cost 29 inf + 54862 558.531 * * [simplify]: Extracting #11: cost 6 inf + 75637 558.547 * * [simplify]: Extracting #12: cost 0 inf + 80787 558.564 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2))))) 558.565 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 558.565 * * * * [progress]: [ 1893 / 5906 ] simplifiying candidate # 558.565 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 558.566 * * [simplify]: iters left: 6 (35 enodes) 558.574 * * [simplify]: iters left: 5 (158 enodes) 558.607 * * [simplify]: iters left: 4 (414 enodes) 558.743 * * [simplify]: Extracting #0: cost 1 inf + 0 558.743 * * [simplify]: Extracting #1: cost 3 inf + 0 558.743 * * [simplify]: Extracting #2: cost 16 inf + 0 558.744 * * [simplify]: Extracting #3: cost 153 inf + 0 558.744 * * [simplify]: Extracting #4: cost 340 inf + 44 558.746 * * [simplify]: Extracting #5: cost 391 inf + 3827 558.749 * * [simplify]: Extracting #6: cost 429 inf + 12550 558.758 * * [simplify]: Extracting #7: cost 407 inf + 29548 558.775 * * [simplify]: Extracting #8: cost 229 inf + 92919 558.812 * * [simplify]: Extracting #9: cost 44 inf + 179512 558.863 * * [simplify]: Extracting #10: cost 0 inf + 209487 558.915 * * [simplify]: Extracting #11: cost 0 inf + 209207 558.966 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 558.966 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 558.967 * * * * [progress]: [ 1894 / 5906 ] simplifiying candidate # 558.967 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 558.967 * * [simplify]: iters left: 6 (41 enodes) 558.978 * * [simplify]: iters left: 5 (191 enodes) 559.016 * * [simplify]: iters left: 4 (476 enodes) 559.177 * * [simplify]: Extracting #0: cost 1 inf + 0 559.177 * * [simplify]: Extracting #1: cost 3 inf + 0 559.177 * * [simplify]: Extracting #2: cost 18 inf + 0 559.177 * * [simplify]: Extracting #3: cost 159 inf + 0 559.178 * * [simplify]: Extracting #4: cost 342 inf + 127 559.180 * * [simplify]: Extracting #5: cost 453 inf + 2423 559.183 * * [simplify]: Extracting #6: cost 521 inf + 12063 559.189 * * [simplify]: Extracting #7: cost 477 inf + 37691 559.213 * * [simplify]: Extracting #8: cost 205 inf + 155752 559.268 * * [simplify]: Extracting #9: cost 15 inf + 252612 559.330 * * [simplify]: Extracting #10: cost 0 inf + 265587 559.390 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 559.390 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 559.391 * * * * [progress]: [ 1895 / 5906 ] simplifiying candidate # 559.391 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 559.391 * * [simplify]: iters left: 6 (35 enodes) 559.399 * * [simplify]: iters left: 5 (158 enodes) 559.431 * * [simplify]: iters left: 4 (395 enodes) 559.564 * * [simplify]: Extracting #0: cost 1 inf + 0 559.564 * * [simplify]: Extracting #1: cost 3 inf + 0 559.564 * * [simplify]: Extracting #2: cost 13 inf + 0 559.564 * * [simplify]: Extracting #3: cost 111 inf + 0 559.565 * * [simplify]: Extracting #4: cost 244 inf + 44 559.566 * * [simplify]: Extracting #5: cost 337 inf + 2409 559.568 * * [simplify]: Extracting #6: cost 390 inf + 7496 559.573 * * [simplify]: Extracting #7: cost 370 inf + 24428 559.590 * * [simplify]: Extracting #8: cost 167 inf + 93239 559.626 * * [simplify]: Extracting #9: cost 16 inf + 157438 559.665 * * [simplify]: Extracting #10: cost 0 inf + 172358 559.704 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))))) 559.704 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 559.704 * * * * [progress]: [ 1896 / 5906 ] simplifiying candidate # 559.705 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 559.705 * * [simplify]: iters left: 6 (41 enodes) 559.716 * * [simplify]: iters left: 5 (191 enodes) 559.754 * * [simplify]: iters left: 4 (476 enodes) 559.917 * * [simplify]: Extracting #0: cost 1 inf + 0 559.917 * * [simplify]: Extracting #1: cost 3 inf + 0 559.917 * * [simplify]: Extracting #2: cost 18 inf + 0 559.918 * * [simplify]: Extracting #3: cost 143 inf + 0 559.918 * * [simplify]: Extracting #4: cost 305 inf + 86 559.920 * * [simplify]: Extracting #5: cost 459 inf + 823 559.923 * * [simplify]: Extracting #6: cost 519 inf + 12831 559.932 * * [simplify]: Extracting #7: cost 441 inf + 56569 559.956 * * [simplify]: Extracting #8: cost 206 inf + 148483 560.010 * * [simplify]: Extracting #9: cost 12 inf + 255762 560.070 * * [simplify]: Extracting #10: cost 0 inf + 264622 560.132 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 560.132 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 560.132 * * * * [progress]: [ 1897 / 5906 ] simplifiying candidate # 560.133 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 560.133 * * [simplify]: iters left: 6 (35 enodes) 560.142 * * [simplify]: iters left: 5 (158 enodes) 560.173 * * [simplify]: iters left: 4 (395 enodes) 560.304 * * [simplify]: Extracting #0: cost 1 inf + 0 560.304 * * [simplify]: Extracting #1: cost 3 inf + 0 560.305 * * [simplify]: Extracting #2: cost 13 inf + 0 560.305 * * [simplify]: Extracting #3: cost 108 inf + 0 560.305 * * [simplify]: Extracting #4: cost 252 inf + 44 560.307 * * [simplify]: Extracting #5: cost 341 inf + 2932 560.310 * * [simplify]: Extracting #6: cost 374 inf + 12927 560.319 * * [simplify]: Extracting #7: cost 309 inf + 47735 560.338 * * [simplify]: Extracting #8: cost 152 inf + 100000 560.369 * * [simplify]: Extracting #9: cost 22 inf + 153666 560.411 * * [simplify]: Extracting #10: cost 1 inf + 173151 560.451 * * [simplify]: Extracting #11: cost 0 inf + 174296 560.492 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- phi1 phi2))))) 560.493 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 560.493 * * * * [progress]: [ 1898 / 5906 ] simplifiying candidate # 560.493 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 560.493 * * [simplify]: iters left: 6 (51 enodes) 560.506 * * [simplify]: iters left: 5 (244 enodes) 560.560 * * [simplify]: Extracting #0: cost 1 inf + 0 560.560 * * [simplify]: Extracting #1: cost 3 inf + 0 560.560 * * [simplify]: Extracting #2: cost 6 inf + 0 560.560 * * [simplify]: Extracting #3: cost 56 inf + 0 560.561 * * [simplify]: Extracting #4: cost 130 inf + 0 560.561 * * [simplify]: Extracting #5: cost 200 inf + 0 560.562 * * [simplify]: Extracting #6: cost 254 inf + 1146 560.564 * * [simplify]: Extracting #7: cost 193 inf + 11843 560.568 * * [simplify]: Extracting #8: cost 128 inf + 30862 560.578 * * [simplify]: Extracting #9: cost 59 inf + 57218 560.588 * * [simplify]: Extracting #10: cost 50 inf + 61563 560.606 * * [simplify]: Extracting #11: cost 5 inf + 111248 560.628 * * [simplify]: Extracting #12: cost 1 inf + 117868 560.653 * * [simplify]: Extracting #13: cost 0 inf + 119933 560.676 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 560.676 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 560.676 * * * * [progress]: [ 1899 / 5906 ] simplifiying candidate # 560.677 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 560.677 * * [simplify]: iters left: 6 (52 enodes) 560.690 * * [simplify]: iters left: 5 (253 enodes) 560.747 * * [simplify]: Extracting #0: cost 1 inf + 0 560.747 * * [simplify]: Extracting #1: cost 3 inf + 0 560.747 * * [simplify]: Extracting #2: cost 6 inf + 0 560.747 * * [simplify]: Extracting #3: cost 60 inf + 0 560.747 * * [simplify]: Extracting #4: cost 153 inf + 0 560.748 * * [simplify]: Extracting #5: cost 214 inf + 44 560.749 * * [simplify]: Extracting #6: cost 241 inf + 3477 560.751 * * [simplify]: Extracting #7: cost 176 inf + 17741 560.758 * * [simplify]: Extracting #8: cost 128 inf + 39586 560.766 * * [simplify]: Extracting #9: cost 99 inf + 49210 560.776 * * [simplify]: Extracting #10: cost 54 inf + 64520 560.788 * * [simplify]: Extracting #11: cost 37 inf + 76345 560.808 * * [simplify]: Extracting #12: cost 11 inf + 104195 560.830 * * [simplify]: Extracting #13: cost 1 inf + 116645 560.853 * * [simplify]: Extracting #14: cost 0 inf + 118710 560.875 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 560.875 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 560.876 * * * * [progress]: [ 1900 / 5906 ] simplifiying candidate # 560.876 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 560.876 * * [simplify]: iters left: 6 (52 enodes) 560.890 * * [simplify]: iters left: 5 (253 enodes) 560.945 * * [simplify]: Extracting #0: cost 1 inf + 0 560.945 * * [simplify]: Extracting #1: cost 3 inf + 0 560.945 * * [simplify]: Extracting #2: cost 6 inf + 0 560.945 * * [simplify]: Extracting #3: cost 62 inf + 0 560.945 * * [simplify]: Extracting #4: cost 151 inf + 0 560.946 * * [simplify]: Extracting #5: cost 210 inf + 44 560.947 * * [simplify]: Extracting #6: cost 220 inf + 6190 560.951 * * [simplify]: Extracting #7: cost 170 inf + 20194 560.956 * * [simplify]: Extracting #8: cost 131 inf + 34007 560.964 * * [simplify]: Extracting #9: cost 92 inf + 49875 560.976 * * [simplify]: Extracting #10: cost 49 inf + 66277 560.992 * * [simplify]: Extracting #11: cost 13 inf + 99857 561.013 * * [simplify]: Extracting #12: cost 1 inf + 114317 561.035 * * [simplify]: Extracting #13: cost 0 inf + 116382 561.056 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 561.056 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 561.057 * * * * [progress]: [ 1901 / 5906 ] simplifiying candidate # 561.057 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 561.058 * * [simplify]: iters left: 6 (46 enodes) 561.071 * * [simplify]: iters left: 5 (217 enodes) 561.116 * * [simplify]: Extracting #0: cost 1 inf + 0 561.116 * * [simplify]: Extracting #1: cost 3 inf + 0 561.116 * * [simplify]: Extracting #2: cost 6 inf + 0 561.116 * * [simplify]: Extracting #3: cost 54 inf + 0 561.116 * * [simplify]: Extracting #4: cost 119 inf + 0 561.117 * * [simplify]: Extracting #5: cost 157 inf + 85 561.118 * * [simplify]: Extracting #6: cost 194 inf + 2411 561.119 * * [simplify]: Extracting #7: cost 164 inf + 7488 561.122 * * [simplify]: Extracting #8: cost 132 inf + 19697 561.128 * * [simplify]: Extracting #9: cost 90 inf + 36576 561.139 * * [simplify]: Extracting #10: cost 42 inf + 53324 561.152 * * [simplify]: Extracting #11: cost 9 inf + 83696 561.169 * * [simplify]: Extracting #12: cost 0 inf + 93761 561.187 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 561.187 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 561.188 * * * * [progress]: [ 1902 / 5906 ] simplifiying candidate # 561.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 561.188 * * [simplify]: iters left: 6 (51 enodes) 561.201 * * [simplify]: iters left: 5 (245 enodes) 561.254 * * [simplify]: Extracting #0: cost 1 inf + 0 561.254 * * [simplify]: Extracting #1: cost 3 inf + 0 561.254 * * [simplify]: Extracting #2: cost 10 inf + 0 561.254 * * [simplify]: Extracting #3: cost 74 inf + 0 561.255 * * [simplify]: Extracting #4: cost 137 inf + 1 561.255 * * [simplify]: Extracting #5: cost 179 inf + 249 561.256 * * [simplify]: Extracting #6: cost 212 inf + 3229 561.258 * * [simplify]: Extracting #7: cost 169 inf + 16197 561.264 * * [simplify]: Extracting #8: cost 108 inf + 38253 561.272 * * [simplify]: Extracting #9: cost 53 inf + 58367 561.289 * * [simplify]: Extracting #10: cost 6 inf + 99502 561.312 * * [simplify]: Extracting #11: cost 0 inf + 108972 561.333 * * [simplify]: Extracting #12: cost 0 inf + 108932 561.354 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) 561.354 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 561.355 * * * * [progress]: [ 1903 / 5906 ] simplifiying candidate # 561.355 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 561.355 * * [simplify]: iters left: 6 (46 enodes) 561.367 * * [simplify]: iters left: 5 (217 enodes) 561.415 * * [simplify]: Extracting #0: cost 1 inf + 0 561.415 * * [simplify]: Extracting #1: cost 3 inf + 0 561.415 * * [simplify]: Extracting #2: cost 10 inf + 0 561.415 * * [simplify]: Extracting #3: cost 66 inf + 0 561.415 * * [simplify]: Extracting #4: cost 117 inf + 44 561.416 * * [simplify]: Extracting #5: cost 145 inf + 822 561.417 * * [simplify]: Extracting #6: cost 187 inf + 3180 561.418 * * [simplify]: Extracting #7: cost 167 inf + 7398 561.421 * * [simplify]: Extracting #8: cost 128 inf + 21790 561.427 * * [simplify]: Extracting #9: cost 83 inf + 38318 561.436 * * [simplify]: Extracting #10: cost 35 inf + 55696 561.449 * * [simplify]: Extracting #11: cost 8 inf + 78931 561.465 * * [simplify]: Extracting #12: cost 1 inf + 87346 561.484 * * [simplify]: Extracting #13: cost 0 inf + 89091 561.500 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 561.500 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 561.501 * * * * [progress]: [ 1904 / 5906 ] simplifiying candidate # 561.501 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 561.501 * * [simplify]: iters left: 6 (51 enodes) 561.514 * * [simplify]: iters left: 5 (245 enodes) 561.568 * * [simplify]: Extracting #0: cost 1 inf + 0 561.568 * * [simplify]: Extracting #1: cost 3 inf + 0 561.568 * * [simplify]: Extracting #2: cost 10 inf + 0 561.568 * * [simplify]: Extracting #3: cost 74 inf + 0 561.568 * * [simplify]: Extracting #4: cost 137 inf + 1 561.569 * * [simplify]: Extracting #5: cost 180 inf + 207 561.569 * * [simplify]: Extracting #6: cost 212 inf + 3791 561.572 * * [simplify]: Extracting #7: cost 167 inf + 16359 561.577 * * [simplify]: Extracting #8: cost 114 inf + 34741 561.586 * * [simplify]: Extracting #9: cost 54 inf + 58502 561.602 * * [simplify]: Extracting #10: cost 6 inf + 100462 561.623 * * [simplify]: Extracting #11: cost 0 inf + 109932 561.645 * * [simplify]: Extracting #12: cost 0 inf + 109892 561.668 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) 561.668 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 561.668 * * * * [progress]: [ 1905 / 5906 ] simplifiying candidate # 561.668 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 561.669 * * [simplify]: iters left: 6 (46 enodes) 561.681 * * [simplify]: iters left: 5 (217 enodes) 561.725 * * [simplify]: Extracting #0: cost 1 inf + 0 561.726 * * [simplify]: Extracting #1: cost 3 inf + 0 561.726 * * [simplify]: Extracting #2: cost 10 inf + 0 561.726 * * [simplify]: Extracting #3: cost 65 inf + 0 561.726 * * [simplify]: Extracting #4: cost 117 inf + 44 561.726 * * [simplify]: Extracting #5: cost 143 inf + 1066 561.727 * * [simplify]: Extracting #6: cost 186 inf + 3342 561.731 * * [simplify]: Extracting #7: cost 166 inf + 7519 561.734 * * [simplify]: Extracting #8: cost 129 inf + 21144 561.741 * * [simplify]: Extracting #9: cost 79 inf + 39671 561.749 * * [simplify]: Extracting #10: cost 35 inf + 56096 561.762 * * [simplify]: Extracting #11: cost 8 inf + 79331 561.778 * * [simplify]: Extracting #12: cost 1 inf + 87746 561.795 * * [simplify]: Extracting #13: cost 0 inf + 89491 561.812 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 561.812 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 561.813 * * * * [progress]: [ 1906 / 5906 ] simplifiying candidate # 561.813 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 561.813 * * [simplify]: iters left: 6 (41 enodes) 561.826 * * [simplify]: iters left: 5 (192 enodes) 561.867 * * [simplify]: Extracting #0: cost 1 inf + 0 561.867 * * [simplify]: Extracting #1: cost 3 inf + 0 561.867 * * [simplify]: Extracting #2: cost 6 inf + 0 561.867 * * [simplify]: Extracting #3: cost 54 inf + 0 561.867 * * [simplify]: Extracting #4: cost 120 inf + 0 561.867 * * [simplify]: Extracting #5: cost 178 inf + 0 561.868 * * [simplify]: Extracting #6: cost 224 inf + 89 561.869 * * [simplify]: Extracting #7: cost 188 inf + 6896 561.873 * * [simplify]: Extracting #8: cost 86 inf + 34305 561.881 * * [simplify]: Extracting #9: cost 45 inf + 46647 561.893 * * [simplify]: Extracting #10: cost 16 inf + 72252 561.912 * * [simplify]: Extracting #11: cost 0 inf + 84852 561.929 * * [simplify]: Extracting #12: cost 0 inf + 84772 561.951 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 561.951 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 561.951 * * * * [progress]: [ 1907 / 5906 ] simplifiying candidate # 561.952 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 561.952 * * [simplify]: iters left: 6 (42 enodes) 561.963 * * [simplify]: iters left: 5 (201 enodes) 562.007 * * [simplify]: Extracting #0: cost 1 inf + 0 562.007 * * [simplify]: Extracting #1: cost 3 inf + 0 562.007 * * [simplify]: Extracting #2: cost 6 inf + 0 562.007 * * [simplify]: Extracting #3: cost 58 inf + 0 562.007 * * [simplify]: Extracting #4: cost 143 inf + 0 562.008 * * [simplify]: Extracting #5: cost 192 inf + 44 562.008 * * [simplify]: Extracting #6: cost 224 inf + 1657 562.010 * * [simplify]: Extracting #7: cost 159 inf + 10398 562.014 * * [simplify]: Extracting #8: cost 107 inf + 26549 562.020 * * [simplify]: Extracting #9: cost 75 inf + 37841 562.028 * * [simplify]: Extracting #10: cost 42 inf + 50019 562.039 * * [simplify]: Extracting #11: cost 16 inf + 70429 562.055 * * [simplify]: Extracting #12: cost 0 inf + 84709 562.071 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 562.071 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 562.071 * * * * [progress]: [ 1908 / 5906 ] simplifiying candidate # 562.072 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 562.072 * * [simplify]: iters left: 6 (42 enodes) 562.085 * * [simplify]: iters left: 5 (201 enodes) 562.127 * * [simplify]: Extracting #0: cost 1 inf + 0 562.127 * * [simplify]: Extracting #1: cost 3 inf + 0 562.127 * * [simplify]: Extracting #2: cost 6 inf + 0 562.127 * * [simplify]: Extracting #3: cost 60 inf + 0 562.127 * * [simplify]: Extracting #4: cost 141 inf + 0 562.128 * * [simplify]: Extracting #5: cost 187 inf + 86 562.128 * * [simplify]: Extracting #6: cost 219 inf + 1660 562.130 * * [simplify]: Extracting #7: cost 158 inf + 10192 562.134 * * [simplify]: Extracting #8: cost 86 inf + 30848 562.142 * * [simplify]: Extracting #9: cost 39 inf + 51086 562.157 * * [simplify]: Extracting #10: cost 8 inf + 75101 562.172 * * [simplify]: Extracting #11: cost 0 inf + 82061 562.188 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) 562.188 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 562.189 * * * * [progress]: [ 1909 / 5906 ] simplifiying candidate # 562.189 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 562.189 * * [simplify]: iters left: 6 (35 enodes) 562.198 * * [simplify]: iters left: 5 (160 enodes) 562.229 * * [simplify]: iters left: 4 (428 enodes) 562.378 * * [simplify]: Extracting #0: cost 1 inf + 0 562.378 * * [simplify]: Extracting #1: cost 3 inf + 0 562.378 * * [simplify]: Extracting #2: cost 16 inf + 0 562.378 * * [simplify]: Extracting #3: cost 161 inf + 0 562.379 * * [simplify]: Extracting #4: cost 348 inf + 86 562.381 * * [simplify]: Extracting #5: cost 392 inf + 4842 562.384 * * [simplify]: Extracting #6: cost 436 inf + 12752 562.391 * * [simplify]: Extracting #7: cost 409 inf + 32046 562.414 * * [simplify]: Extracting #8: cost 190 inf + 120192 562.464 * * [simplify]: Extracting #9: cost 14 inf + 204467 562.516 * * [simplify]: Extracting #10: cost 0 inf + 211136 562.570 * * [simplify]: Extracting #11: cost 0 inf + 210896 562.625 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (+ phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 562.625 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (+ phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 562.625 * * * * [progress]: [ 1910 / 5906 ] simplifiying candidate # 562.626 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 562.626 * * [simplify]: iters left: 6 (41 enodes) 562.637 * * [simplify]: iters left: 5 (193 enodes) 562.676 * * [simplify]: iters left: 4 (496 enodes) 562.846 * * [simplify]: Extracting #0: cost 1 inf + 0 562.846 * * [simplify]: Extracting #1: cost 3 inf + 0 562.846 * * [simplify]: Extracting #2: cost 18 inf + 0 562.846 * * [simplify]: Extracting #3: cost 157 inf + 0 562.847 * * [simplify]: Extracting #4: cost 357 inf + 168 562.849 * * [simplify]: Extracting #5: cost 468 inf + 1640 562.851 * * [simplify]: Extracting #6: cost 554 inf + 6491 562.857 * * [simplify]: Extracting #7: cost 519 inf + 28580 562.872 * * [simplify]: Extracting #8: cost 299 inf + 98755 562.912 * * [simplify]: Extracting #9: cost 88 inf + 201902 562.969 * * [simplify]: Extracting #10: cost 7 inf + 265433 563.032 * * [simplify]: Extracting #11: cost 0 inf + 270568 563.095 * * [simplify]: Extracting #12: cost 0 inf + 270488 563.158 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 563.158 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 563.158 * * * * [progress]: [ 1911 / 5906 ] simplifiying candidate # 563.159 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 563.159 * * [simplify]: iters left: 6 (35 enodes) 563.167 * * [simplify]: iters left: 5 (160 enodes) 563.200 * * [simplify]: iters left: 4 (415 enodes) 563.338 * * [simplify]: Extracting #0: cost 1 inf + 0 563.338 * * [simplify]: Extracting #1: cost 3 inf + 0 563.338 * * [simplify]: Extracting #2: cost 13 inf + 0 563.339 * * [simplify]: Extracting #3: cost 110 inf + 0 563.339 * * [simplify]: Extracting #4: cost 261 inf + 44 563.341 * * [simplify]: Extracting #5: cost 349 inf + 2856 563.344 * * [simplify]: Extracting #6: cost 380 inf + 13259 563.353 * * [simplify]: Extracting #7: cost 312 inf + 48444 563.375 * * [simplify]: Extracting #8: cost 143 inf + 104021 563.403 * * [simplify]: Extracting #9: cost 43 inf + 141743 563.438 * * [simplify]: Extracting #10: cost 16 inf + 161578 563.479 * * [simplify]: Extracting #11: cost 1 inf + 178353 563.521 * * [simplify]: Extracting #12: cost 0 inf + 179738 563.563 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) 563.563 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 563.563 * * * * [progress]: [ 1912 / 5906 ] simplifiying candidate # 563.563 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 563.564 * * [simplify]: iters left: 6 (41 enodes) 563.574 * * [simplify]: iters left: 5 (193 enodes) 563.614 * * [simplify]: iters left: 4 (496 enodes) 563.783 * * [simplify]: Extracting #0: cost 1 inf + 0 563.784 * * [simplify]: Extracting #1: cost 3 inf + 0 563.784 * * [simplify]: Extracting #2: cost 18 inf + 0 563.784 * * [simplify]: Extracting #3: cost 141 inf + 0 563.785 * * [simplify]: Extracting #4: cost 322 inf + 127 563.786 * * [simplify]: Extracting #5: cost 468 inf + 1270 563.789 * * [simplify]: Extracting #6: cost 542 inf + 8755 563.797 * * [simplify]: Extracting #7: cost 471 inf + 46181 563.828 * * [simplify]: Extracting #8: cost 208 inf + 157905 563.883 * * [simplify]: Extracting #9: cost 15 inf + 258013 563.946 * * [simplify]: Extracting #10: cost 0 inf + 270068 564.009 * * [simplify]: Extracting #11: cost 0 inf + 269548 564.072 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 564.072 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 564.073 * * * * [progress]: [ 1913 / 5906 ] simplifiying candidate # 564.073 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 564.073 * * [simplify]: iters left: 6 (35 enodes) 564.082 * * [simplify]: iters left: 5 (160 enodes) 564.116 * * [simplify]: iters left: 4 (415 enodes) 564.657 * * [simplify]: Extracting #0: cost 1 inf + 0 564.657 * * [simplify]: Extracting #1: cost 3 inf + 0 564.657 * * [simplify]: Extracting #2: cost 13 inf + 0 564.657 * * [simplify]: Extracting #3: cost 107 inf + 0 564.658 * * [simplify]: Extracting #4: cost 271 inf + 44 564.659 * * [simplify]: Extracting #5: cost 361 inf + 2685 564.662 * * [simplify]: Extracting #6: cost 391 inf + 12811 564.671 * * [simplify]: Extracting #7: cost 321 inf + 46267 564.689 * * [simplify]: Extracting #8: cost 166 inf + 97520 564.719 * * [simplify]: Extracting #9: cost 66 inf + 132474 564.749 * * [simplify]: Extracting #10: cost 38 inf + 145934 564.787 * * [simplify]: Extracting #11: cost 8 inf + 168484 564.826 * * [simplify]: Extracting #12: cost 1 inf + 174219 564.865 * * [simplify]: Extracting #13: cost 0 inf + 175404 564.905 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) 564.905 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 564.905 * * * * [progress]: [ 1914 / 5906 ] simplifiying candidate # 564.905 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 564.906 * * [simplify]: iters left: 6 (51 enodes) 564.919 * * [simplify]: iters left: 5 (244 enodes) 564.972 * * [simplify]: Extracting #0: cost 1 inf + 0 564.972 * * [simplify]: Extracting #1: cost 3 inf + 0 564.972 * * [simplify]: Extracting #2: cost 6 inf + 0 564.972 * * [simplify]: Extracting #3: cost 56 inf + 0 564.972 * * [simplify]: Extracting #4: cost 130 inf + 0 564.973 * * [simplify]: Extracting #5: cost 200 inf + 0 564.974 * * [simplify]: Extracting #6: cost 254 inf + 1146 564.975 * * [simplify]: Extracting #7: cost 193 inf + 11843 564.980 * * [simplify]: Extracting #8: cost 127 inf + 31144 564.989 * * [simplify]: Extracting #9: cost 58 inf + 57963 564.999 * * [simplify]: Extracting #10: cost 50 inf + 61883 565.017 * * [simplify]: Extracting #11: cost 5 inf + 111568 565.041 * * [simplify]: Extracting #12: cost 1 inf + 118188 565.064 * * [simplify]: Extracting #13: cost 0 inf + 120253 565.088 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 565.088 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 565.089 * * * * [progress]: [ 1915 / 5906 ] simplifiying candidate # 565.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 565.089 * * [simplify]: iters left: 6 (52 enodes) 565.102 * * [simplify]: iters left: 5 (253 enodes) 565.157 * * [simplify]: Extracting #0: cost 1 inf + 0 565.157 * * [simplify]: Extracting #1: cost 3 inf + 0 565.157 * * [simplify]: Extracting #2: cost 6 inf + 0 565.158 * * [simplify]: Extracting #3: cost 60 inf + 0 565.158 * * [simplify]: Extracting #4: cost 153 inf + 0 565.158 * * [simplify]: Extracting #5: cost 214 inf + 44 565.160 * * [simplify]: Extracting #6: cost 226 inf + 6627 565.163 * * [simplify]: Extracting #7: cost 173 inf + 19410 565.169 * * [simplify]: Extracting #8: cost 127 inf + 38908 565.177 * * [simplify]: Extracting #9: cost 98 inf + 49715 565.187 * * [simplify]: Extracting #10: cost 53 inf + 65265 565.201 * * [simplify]: Extracting #11: cost 37 inf + 76665 565.218 * * [simplify]: Extracting #12: cost 12 inf + 103850 565.240 * * [simplify]: Extracting #13: cost 1 inf + 116965 565.262 * * [simplify]: Extracting #14: cost 0 inf + 119030 565.284 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 565.284 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 565.285 * * * * [progress]: [ 1916 / 5906 ] simplifiying candidate # 565.285 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 565.285 * * [simplify]: iters left: 6 (52 enodes) 565.300 * * [simplify]: iters left: 5 (253 enodes) 565.354 * * [simplify]: Extracting #0: cost 1 inf + 0 565.354 * * [simplify]: Extracting #1: cost 3 inf + 0 565.354 * * [simplify]: Extracting #2: cost 6 inf + 0 565.355 * * [simplify]: Extracting #3: cost 62 inf + 0 565.355 * * [simplify]: Extracting #4: cost 151 inf + 0 565.355 * * [simplify]: Extracting #5: cost 210 inf + 44 565.357 * * [simplify]: Extracting #6: cost 211 inf + 8448 565.360 * * [simplify]: Extracting #7: cost 166 inf + 20942 565.368 * * [simplify]: Extracting #8: cost 133 inf + 33281 565.375 * * [simplify]: Extracting #9: cost 91 inf + 50179 565.386 * * [simplify]: Extracting #10: cost 48 inf + 67022 565.403 * * [simplify]: Extracting #11: cost 12 inf + 101282 565.424 * * [simplify]: Extracting #12: cost 1 inf + 114637 565.445 * * [simplify]: Extracting #13: cost 0 inf + 116702 565.468 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) 565.468 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 565.468 * * * * [progress]: [ 1917 / 5906 ] simplifiying candidate # 565.469 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 565.469 * * [simplify]: iters left: 6 (46 enodes) 565.481 * * [simplify]: iters left: 5 (217 enodes) 565.526 * * [simplify]: Extracting #0: cost 1 inf + 0 565.526 * * [simplify]: Extracting #1: cost 3 inf + 0 565.526 * * [simplify]: Extracting #2: cost 6 inf + 0 565.527 * * [simplify]: Extracting #3: cost 54 inf + 0 565.527 * * [simplify]: Extracting #4: cost 119 inf + 0 565.527 * * [simplify]: Extracting #5: cost 157 inf + 85 565.528 * * [simplify]: Extracting #6: cost 194 inf + 2411 565.529 * * [simplify]: Extracting #7: cost 164 inf + 7408 565.533 * * [simplify]: Extracting #8: cost 131 inf + 20221 565.541 * * [simplify]: Extracting #9: cost 91 inf + 36050 565.550 * * [simplify]: Extracting #10: cost 44 inf + 52929 565.566 * * [simplify]: Extracting #11: cost 10 inf + 82951 565.585 * * [simplify]: Extracting #12: cost 0 inf + 94081 565.603 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 565.603 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 565.604 * * * * [progress]: [ 1918 / 5906 ] simplifiying candidate # 565.604 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 565.604 * * [simplify]: iters left: 6 (51 enodes) 565.617 * * [simplify]: iters left: 5 (245 enodes) 565.670 * * [simplify]: Extracting #0: cost 1 inf + 0 565.670 * * [simplify]: Extracting #1: cost 3 inf + 0 565.670 * * [simplify]: Extracting #2: cost 10 inf + 0 565.670 * * [simplify]: Extracting #3: cost 74 inf + 0 565.670 * * [simplify]: Extracting #4: cost 137 inf + 1 565.671 * * [simplify]: Extracting #5: cost 179 inf + 249 565.671 * * [simplify]: Extracting #6: cost 209 inf + 3997 565.674 * * [simplify]: Extracting #7: cost 164 inf + 18689 565.680 * * [simplify]: Extracting #8: cost 107 inf + 39011 565.688 * * [simplify]: Extracting #9: cost 60 inf + 55192 565.698 * * [simplify]: Extracting #10: cost 41 inf + 65547 565.716 * * [simplify]: Extracting #11: cost 7 inf + 98517 565.736 * * [simplify]: Extracting #12: cost 1 inf + 107107 565.756 * * [simplify]: Extracting #13: cost 0 inf + 109092 565.777 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 565.777 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 565.777 * * * * [progress]: [ 1919 / 5906 ] simplifiying candidate # 565.778 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 565.778 * * [simplify]: iters left: 6 (46 enodes) 565.789 * * [simplify]: iters left: 5 (217 enodes) 565.834 * * [simplify]: Extracting #0: cost 1 inf + 0 565.835 * * [simplify]: Extracting #1: cost 3 inf + 0 565.835 * * [simplify]: Extracting #2: cost 10 inf + 0 565.835 * * [simplify]: Extracting #3: cost 66 inf + 0 565.835 * * [simplify]: Extracting #4: cost 117 inf + 44 565.835 * * [simplify]: Extracting #5: cost 145 inf + 822 565.836 * * [simplify]: Extracting #6: cost 187 inf + 3180 565.838 * * [simplify]: Extracting #7: cost 167 inf + 7398 565.841 * * [simplify]: Extracting #8: cost 129 inf + 21227 565.847 * * [simplify]: Extracting #9: cost 84 inf + 37813 565.855 * * [simplify]: Extracting #10: cost 35 inf + 56016 565.869 * * [simplify]: Extracting #11: cost 8 inf + 79251 565.887 * * [simplify]: Extracting #12: cost 1 inf + 87666 565.904 * * [simplify]: Extracting #13: cost 0 inf + 89411 565.921 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 565.921 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 565.921 * * * * [progress]: [ 1920 / 5906 ] simplifiying candidate # 565.922 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 565.922 * * [simplify]: iters left: 6 (51 enodes) 565.935 * * [simplify]: iters left: 5 (245 enodes) 565.987 * * [simplify]: Extracting #0: cost 1 inf + 0 565.987 * * [simplify]: Extracting #1: cost 3 inf + 0 565.987 * * [simplify]: Extracting #2: cost 10 inf + 0 565.988 * * [simplify]: Extracting #3: cost 74 inf + 0 565.988 * * [simplify]: Extracting #4: cost 137 inf + 1 565.988 * * [simplify]: Extracting #5: cost 180 inf + 207 565.989 * * [simplify]: Extracting #6: cost 211 inf + 3833 565.991 * * [simplify]: Extracting #7: cost 170 inf + 14749 565.997 * * [simplify]: Extracting #8: cost 114 inf + 34720 566.005 * * [simplify]: Extracting #9: cost 61 inf + 55327 566.015 * * [simplify]: Extracting #10: cost 41 inf + 66507 566.031 * * [simplify]: Extracting #11: cost 7 inf + 99517 566.054 * * [simplify]: Extracting #12: cost 1 inf + 108107 566.074 * * [simplify]: Extracting #13: cost 0 inf + 110092 566.095 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) 566.095 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 566.096 * * * * [progress]: [ 1921 / 5906 ] simplifiying candidate # 566.096 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 566.096 * * [simplify]: iters left: 6 (46 enodes) 566.108 * * [simplify]: iters left: 5 (217 enodes) 566.153 * * [simplify]: Extracting #0: cost 1 inf + 0 566.153 * * [simplify]: Extracting #1: cost 3 inf + 0 566.153 * * [simplify]: Extracting #2: cost 10 inf + 0 566.153 * * [simplify]: Extracting #3: cost 65 inf + 0 566.154 * * [simplify]: Extracting #4: cost 117 inf + 44 566.154 * * [simplify]: Extracting #5: cost 143 inf + 1066 566.155 * * [simplify]: Extracting #6: cost 186 inf + 3342 566.156 * * [simplify]: Extracting #7: cost 166 inf + 7519 566.160 * * [simplify]: Extracting #8: cost 129 inf + 21144 566.166 * * [simplify]: Extracting #9: cost 81 inf + 39083 566.175 * * [simplify]: Extracting #10: cost 35 inf + 56416 566.189 * * [simplify]: Extracting #11: cost 8 inf + 79651 566.205 * * [simplify]: Extracting #12: cost 1 inf + 88066 566.224 * * [simplify]: Extracting #13: cost 0 inf + 89811 566.241 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 566.241 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 566.241 * * * * [progress]: [ 1922 / 5906 ] simplifiying candidate # 566.242 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 566.242 * * [simplify]: iters left: 6 (43 enodes) 566.253 * * [simplify]: iters left: 5 (201 enodes) 566.296 * * [simplify]: Extracting #0: cost 1 inf + 0 566.296 * * [simplify]: Extracting #1: cost 3 inf + 0 566.296 * * [simplify]: Extracting #2: cost 6 inf + 0 566.296 * * [simplify]: Extracting #3: cost 54 inf + 0 566.296 * * [simplify]: Extracting #4: cost 122 inf + 0 566.297 * * [simplify]: Extracting #5: cost 179 inf + 0 566.297 * * [simplify]: Extracting #6: cost 229 inf + 341 566.299 * * [simplify]: Extracting #7: cost 190 inf + 5183 566.301 * * [simplify]: Extracting #8: cost 126 inf + 22306 566.307 * * [simplify]: Extracting #9: cost 77 inf + 38794 566.318 * * [simplify]: Extracting #10: cost 23 inf + 67709 566.335 * * [simplify]: Extracting #11: cost 0 inf + 87524 566.353 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 566.353 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 566.354 * * * * [progress]: [ 1923 / 5906 ] simplifiying candidate # 566.354 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 566.354 * * [simplify]: iters left: 6 (44 enodes) 566.365 * * [simplify]: iters left: 5 (210 enodes) 566.410 * * [simplify]: Extracting #0: cost 1 inf + 0 566.411 * * [simplify]: Extracting #1: cost 3 inf + 0 566.411 * * [simplify]: Extracting #2: cost 6 inf + 0 566.411 * * [simplify]: Extracting #3: cost 58 inf + 0 566.411 * * [simplify]: Extracting #4: cost 145 inf + 0 566.411 * * [simplify]: Extracting #5: cost 183 inf + 699 566.413 * * [simplify]: Extracting #6: cost 199 inf + 5333 566.415 * * [simplify]: Extracting #7: cost 156 inf + 13635 566.421 * * [simplify]: Extracting #8: cost 80 inf + 38423 566.431 * * [simplify]: Extracting #9: cost 27 inf + 64066 566.447 * * [simplify]: Extracting #10: cost 0 inf + 88541 566.467 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) 566.467 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 566.467 * * * * [progress]: [ 1924 / 5906 ] simplifiying candidate # 566.467 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 566.468 * * [simplify]: iters left: 6 (44 enodes) 566.479 * * [simplify]: iters left: 5 (210 enodes) 566.525 * * [simplify]: Extracting #0: cost 1 inf + 0 566.525 * * [simplify]: Extracting #1: cost 3 inf + 0 566.525 * * [simplify]: Extracting #2: cost 6 inf + 0 566.525 * * [simplify]: Extracting #3: cost 60 inf + 0 566.526 * * [simplify]: Extracting #4: cost 143 inf + 0 566.526 * * [simplify]: Extracting #5: cost 185 inf + 250 566.527 * * [simplify]: Extracting #6: cost 188 inf + 7267 566.530 * * [simplify]: Extracting #7: cost 161 inf + 11539 566.536 * * [simplify]: Extracting #8: cost 102 inf + 26011 566.545 * * [simplify]: Extracting #9: cost 34 inf + 57453 566.561 * * [simplify]: Extracting #10: cost 0 inf + 84773 566.578 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) 566.578 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 566.578 * * * * [progress]: [ 1925 / 5906 ] simplifiying candidate # 566.579 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 566.579 * * [simplify]: iters left: 6 (37 enodes) 566.588 * * [simplify]: iters left: 5 (169 enodes) 566.623 * * [simplify]: iters left: 4 (455 enodes) 566.785 * * [simplify]: Extracting #0: cost 1 inf + 0 566.785 * * [simplify]: Extracting #1: cost 3 inf + 0 566.785 * * [simplify]: Extracting #2: cost 16 inf + 0 566.785 * * [simplify]: Extracting #3: cost 173 inf + 0 566.786 * * [simplify]: Extracting #4: cost 368 inf + 85 566.788 * * [simplify]: Extracting #5: cost 431 inf + 2771 566.791 * * [simplify]: Extracting #6: cost 467 inf + 11136 566.797 * * [simplify]: Extracting #7: cost 440 inf + 32325 566.815 * * [simplify]: Extracting #8: cost 327 inf + 72100 566.835 * * [simplify]: Extracting #9: cost 226 inf + 105884 566.868 * * [simplify]: Extracting #10: cost 98 inf + 153156 566.906 * * [simplify]: Extracting #11: cost 54 inf + 181936 566.960 * * [simplify]: Extracting #12: cost 0 inf + 227926 567.019 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))))) 567.019 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 567.019 * * * * [progress]: [ 1926 / 5906 ] simplifiying candidate # 567.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 567.020 * * [simplify]: iters left: 6 (43 enodes) 567.030 * * [simplify]: iters left: 5 (202 enodes) 567.073 * * [simplify]: Extracting #0: cost 1 inf + 0 567.073 * * [simplify]: Extracting #1: cost 3 inf + 0 567.073 * * [simplify]: Extracting #2: cost 10 inf + 0 567.073 * * [simplify]: Extracting #3: cost 72 inf + 0 567.073 * * [simplify]: Extracting #4: cost 128 inf + 42 567.074 * * [simplify]: Extracting #5: cost 155 inf + 453 567.075 * * [simplify]: Extracting #6: cost 186 inf + 3497 567.077 * * [simplify]: Extracting #7: cost 134 inf + 16977 567.082 * * [simplify]: Extracting #8: cost 77 inf + 34651 567.090 * * [simplify]: Extracting #9: cost 31 inf + 54308 567.105 * * [simplify]: Extracting #10: cost 2 inf + 78473 567.121 * * [simplify]: Extracting #11: cost 0 inf + 81203 567.138 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 567.138 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 567.139 * * * * [progress]: [ 1927 / 5906 ] simplifiying candidate # 567.139 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 567.139 * * [simplify]: iters left: 6 (37 enodes) 567.148 * * [simplify]: iters left: 5 (169 enodes) 567.184 * * [simplify]: iters left: 4 (442 enodes) 567.331 * * [simplify]: Extracting #0: cost 1 inf + 0 567.331 * * [simplify]: Extracting #1: cost 3 inf + 0 567.331 * * [simplify]: Extracting #2: cost 13 inf + 0 567.331 * * [simplify]: Extracting #3: cost 118 inf + 0 567.332 * * [simplify]: Extracting #4: cost 272 inf + 44 567.333 * * [simplify]: Extracting #5: cost 371 inf + 1922 567.340 * * [simplify]: Extracting #6: cost 397 inf + 13298 567.347 * * [simplify]: Extracting #7: cost 358 inf + 39800 567.367 * * [simplify]: Extracting #8: cost 162 inf + 107556 567.402 * * [simplify]: Extracting #9: cost 22 inf + 165408 567.444 * * [simplify]: Extracting #10: cost 0 inf + 186038 567.489 * * [simplify]: Extracting #11: cost 0 inf + 185238 567.532 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 567.532 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 567.532 * * * * [progress]: [ 1928 / 5906 ] simplifiying candidate # 567.532 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 567.533 * * [simplify]: iters left: 6 (43 enodes) 567.543 * * [simplify]: iters left: 5 (202 enodes) 567.584 * * [simplify]: Extracting #0: cost 1 inf + 0 567.584 * * [simplify]: Extracting #1: cost 3 inf + 0 567.584 * * [simplify]: Extracting #2: cost 10 inf + 0 567.584 * * [simplify]: Extracting #3: cost 72 inf + 0 567.585 * * [simplify]: Extracting #4: cost 128 inf + 42 567.585 * * [simplify]: Extracting #5: cost 156 inf + 372 567.586 * * [simplify]: Extracting #6: cost 193 inf + 2286 567.589 * * [simplify]: Extracting #7: cost 164 inf + 6889 567.593 * * [simplify]: Extracting #8: cost 87 inf + 30614 567.602 * * [simplify]: Extracting #9: cost 30 inf + 56253 567.616 * * [simplify]: Extracting #10: cost 2 inf + 79113 567.633 * * [simplify]: Extracting #11: cost 0 inf + 82163 567.650 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 567.650 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 567.650 * * * * [progress]: [ 1929 / 5906 ] simplifiying candidate # 567.651 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 567.651 * * [simplify]: iters left: 6 (37 enodes) 567.660 * * [simplify]: iters left: 5 (169 enodes) 567.694 * * [simplify]: iters left: 4 (442 enodes) 567.845 * * [simplify]: Extracting #0: cost 1 inf + 0 567.845 * * [simplify]: Extracting #1: cost 3 inf + 0 567.845 * * [simplify]: Extracting #2: cost 13 inf + 0 567.845 * * [simplify]: Extracting #3: cost 114 inf + 0 567.846 * * [simplify]: Extracting #4: cost 281 inf + 44 567.847 * * [simplify]: Extracting #5: cost 382 inf + 1552 567.850 * * [simplify]: Extracting #6: cost 412 inf + 11187 567.858 * * [simplify]: Extracting #7: cost 355 inf + 41790 567.881 * * [simplify]: Extracting #8: cost 178 inf + 105230 567.919 * * [simplify]: Extracting #9: cost 22 inf + 172771 567.963 * * [simplify]: Extracting #10: cost 0 inf + 189519 568.007 * * [simplify]: Extracting #11: cost 0 inf + 189039 568.052 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)))))) 568.052 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 568.053 * * * * [progress]: [ 1930 / 5906 ] simplifiying candidate # 568.053 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 568.053 * * [simplify]: iters left: 6 (52 enodes) 568.068 * * [simplify]: iters left: 5 (255 enodes) 568.127 * * [simplify]: Extracting #0: cost 1 inf + 0 568.127 * * [simplify]: Extracting #1: cost 3 inf + 0 568.127 * * [simplify]: Extracting #2: cost 6 inf + 0 568.127 * * [simplify]: Extracting #3: cost 56 inf + 0 568.127 * * [simplify]: Extracting #4: cost 130 inf + 0 568.128 * * [simplify]: Extracting #5: cost 207 inf + 0 568.128 * * [simplify]: Extracting #6: cost 301 inf + 86 568.130 * * [simplify]: Extracting #7: cost 261 inf + 4807 568.134 * * [simplify]: Extracting #8: cost 169 inf + 27339 568.142 * * [simplify]: Extracting #9: cost 96 inf + 56124 568.155 * * [simplify]: Extracting #10: cost 49 inf + 75120 568.174 * * [simplify]: Extracting #11: cost 13 inf + 111380 568.198 * * [simplify]: Extracting #12: cost 0 inf + 127625 568.224 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 568.224 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 568.225 * * * * [progress]: [ 1931 / 5906 ] simplifiying candidate # 568.225 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 568.225 * * [simplify]: iters left: 6 (53 enodes) 568.239 * * [simplify]: iters left: 5 (264 enodes) 568.299 * * [simplify]: Extracting #0: cost 1 inf + 0 568.299 * * [simplify]: Extracting #1: cost 3 inf + 0 568.299 * * [simplify]: Extracting #2: cost 6 inf + 0 568.299 * * [simplify]: Extracting #3: cost 60 inf + 0 568.299 * * [simplify]: Extracting #4: cost 153 inf + 0 568.300 * * [simplify]: Extracting #5: cost 221 inf + 44 568.301 * * [simplify]: Extracting #6: cost 271 inf + 5731 568.303 * * [simplify]: Extracting #7: cost 240 inf + 11319 568.308 * * [simplify]: Extracting #8: cost 166 inf + 26401 568.317 * * [simplify]: Extracting #9: cost 90 inf + 60445 568.330 * * [simplify]: Extracting #10: cost 48 inf + 79004 568.350 * * [simplify]: Extracting #11: cost 11 inf + 116887 568.378 * * [simplify]: Extracting #12: cost 0 inf + 129042 568.404 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 568.404 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 568.405 * * * * [progress]: [ 1932 / 5906 ] simplifiying candidate # 568.405 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 568.405 * * [simplify]: iters left: 6 (53 enodes) 568.419 * * [simplify]: iters left: 5 (264 enodes) 568.479 * * [simplify]: Extracting #0: cost 1 inf + 0 568.479 * * [simplify]: Extracting #1: cost 3 inf + 0 568.479 * * [simplify]: Extracting #2: cost 6 inf + 0 568.479 * * [simplify]: Extracting #3: cost 62 inf + 0 568.480 * * [simplify]: Extracting #4: cost 151 inf + 0 568.480 * * [simplify]: Extracting #5: cost 216 inf + 86 568.481 * * [simplify]: Extracting #6: cost 274 inf + 4756 568.484 * * [simplify]: Extracting #7: cost 239 inf + 10912 568.487 * * [simplify]: Extracting #8: cost 174 inf + 23480 568.494 * * [simplify]: Extracting #9: cost 119 inf + 43097 568.507 * * [simplify]: Extracting #10: cost 47 inf + 78821 568.526 * * [simplify]: Extracting #11: cost 12 inf + 114414 568.553 * * [simplify]: Extracting #12: cost 0 inf + 127994 568.578 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 568.578 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 568.578 * * * * [progress]: [ 1933 / 5906 ] simplifiying candidate # 568.579 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 568.579 * * [simplify]: iters left: 6 (47 enodes) 568.591 * * [simplify]: iters left: 5 (228 enodes) 568.641 * * [simplify]: Extracting #0: cost 1 inf + 0 568.641 * * [simplify]: Extracting #1: cost 3 inf + 0 568.641 * * [simplify]: Extracting #2: cost 6 inf + 0 568.641 * * [simplify]: Extracting #3: cost 54 inf + 0 568.641 * * [simplify]: Extracting #4: cost 119 inf + 0 568.642 * * [simplify]: Extracting #5: cost 164 inf + 86 568.642 * * [simplify]: Extracting #6: cost 239 inf + 1435 568.644 * * [simplify]: Extracting #7: cost 210 inf + 5863 568.647 * * [simplify]: Extracting #8: cost 141 inf + 22756 568.655 * * [simplify]: Extracting #9: cost 68 inf + 48799 568.670 * * [simplify]: Extracting #10: cost 12 inf + 92008 568.691 * * [simplify]: Extracting #11: cost 1 inf + 102308 568.713 * * [simplify]: Extracting #12: cost 0 inf + 104133 568.733 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 568.733 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 568.734 * * * * [progress]: [ 1934 / 5906 ] simplifiying candidate # 568.734 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 568.734 * * [simplify]: iters left: 6 (52 enodes) 568.748 * * [simplify]: iters left: 5 (256 enodes) 568.805 * * [simplify]: Extracting #0: cost 1 inf + 0 568.805 * * [simplify]: Extracting #1: cost 3 inf + 0 568.805 * * [simplify]: Extracting #2: cost 10 inf + 0 568.805 * * [simplify]: Extracting #3: cost 74 inf + 0 568.805 * * [simplify]: Extracting #4: cost 137 inf + 1 568.806 * * [simplify]: Extracting #5: cost 187 inf + 207 568.807 * * [simplify]: Extracting #6: cost 262 inf + 2364 568.808 * * [simplify]: Extracting #7: cost 228 inf + 8002 568.811 * * [simplify]: Extracting #8: cost 176 inf + 18319 568.817 * * [simplify]: Extracting #9: cost 117 inf + 37909 568.828 * * [simplify]: Extracting #10: cost 44 inf + 74633 568.848 * * [simplify]: Extracting #11: cost 5 inf + 112899 568.871 * * [simplify]: Extracting #12: cost 1 inf + 118959 568.898 * * [simplify]: Extracting #13: cost 0 inf + 121024 568.921 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 568.921 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 568.922 * * * * [progress]: [ 1935 / 5906 ] simplifiying candidate # 568.922 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 568.923 * * [simplify]: iters left: 6 (47 enodes) 568.935 * * [simplify]: iters left: 5 (228 enodes) 568.984 * * [simplify]: Extracting #0: cost 1 inf + 0 568.984 * * [simplify]: Extracting #1: cost 3 inf + 0 568.984 * * [simplify]: Extracting #2: cost 10 inf + 0 568.984 * * [simplify]: Extracting #3: cost 66 inf + 0 568.984 * * [simplify]: Extracting #4: cost 117 inf + 44 568.985 * * [simplify]: Extracting #5: cost 153 inf + 820 568.986 * * [simplify]: Extracting #6: cost 228 inf + 2972 568.987 * * [simplify]: Extracting #7: cost 221 inf + 4276 568.991 * * [simplify]: Extracting #8: cost 145 inf + 20719 568.999 * * [simplify]: Extracting #9: cost 60 inf + 54637 569.015 * * [simplify]: Extracting #10: cost 10 inf + 90293 569.034 * * [simplify]: Extracting #11: cost 1 inf + 99358 569.056 * * [simplify]: Extracting #12: cost 0 inf + 101183 569.076 * * [simplify]: Extracting #13: cost 0 inf + 101103 569.096 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (+ phi1 phi2))))) 569.096 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 569.096 * * * * [progress]: [ 1936 / 5906 ] simplifiying candidate # 569.097 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 569.097 * * [simplify]: iters left: 6 (52 enodes) 569.110 * * [simplify]: iters left: 5 (256 enodes) 569.169 * * [simplify]: Extracting #0: cost 1 inf + 0 569.169 * * [simplify]: Extracting #1: cost 3 inf + 0 569.169 * * [simplify]: Extracting #2: cost 10 inf + 0 569.169 * * [simplify]: Extracting #3: cost 74 inf + 0 569.169 * * [simplify]: Extracting #4: cost 137 inf + 1 569.170 * * [simplify]: Extracting #5: cost 187 inf + 207 569.171 * * [simplify]: Extracting #6: cost 266 inf + 1556 569.172 * * [simplify]: Extracting #7: cost 234 inf + 6470 569.175 * * [simplify]: Extracting #8: cost 176 inf + 18269 569.181 * * [simplify]: Extracting #9: cost 117 inf + 38229 569.193 * * [simplify]: Extracting #10: cost 44 inf + 75513 569.213 * * [simplify]: Extracting #11: cost 5 inf + 113859 569.239 * * [simplify]: Extracting #12: cost 1 inf + 119919 569.268 * * [simplify]: Extracting #13: cost 0 inf + 121984 569.292 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 569.292 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 569.293 * * * * [progress]: [ 1937 / 5906 ] simplifiying candidate # 569.293 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 569.293 * * [simplify]: iters left: 6 (47 enodes) 569.305 * * [simplify]: iters left: 5 (228 enodes) 569.354 * * [simplify]: Extracting #0: cost 1 inf + 0 569.354 * * [simplify]: Extracting #1: cost 3 inf + 0 569.354 * * [simplify]: Extracting #2: cost 10 inf + 0 569.354 * * [simplify]: Extracting #3: cost 65 inf + 0 569.354 * * [simplify]: Extracting #4: cost 116 inf + 86 569.355 * * [simplify]: Extracting #5: cost 144 inf + 2038 569.356 * * [simplify]: Extracting #6: cost 228 inf + 2932 569.357 * * [simplify]: Extracting #7: cost 220 inf + 4318 569.360 * * [simplify]: Extracting #8: cost 148 inf + 20433 569.368 * * [simplify]: Extracting #9: cost 75 inf + 46187 569.382 * * [simplify]: Extracting #10: cost 11 inf + 90050 569.404 * * [simplify]: Extracting #11: cost 1 inf + 99758 569.424 * * [simplify]: Extracting #12: cost 0 inf + 101583 569.444 * * [simplify]: Extracting #13: cost 0 inf + 101503 569.464 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (+ phi1 phi2))))) 569.464 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 569.464 * * * * [progress]: [ 1938 / 5906 ] simplifiying candidate # 569.465 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 569.465 * * [simplify]: iters left: 6 (52 enodes) 569.478 * * [simplify]: iters left: 5 (254 enodes) 569.535 * * [simplify]: Extracting #0: cost 1 inf + 0 569.535 * * [simplify]: Extracting #1: cost 3 inf + 0 569.535 * * [simplify]: Extracting #2: cost 6 inf + 0 569.535 * * [simplify]: Extracting #3: cost 56 inf + 0 569.535 * * [simplify]: Extracting #4: cost 130 inf + 0 569.536 * * [simplify]: Extracting #5: cost 210 inf + 0 569.536 * * [simplify]: Extracting #6: cost 296 inf + 86 569.538 * * [simplify]: Extracting #7: cost 254 inf + 5053 569.542 * * [simplify]: Extracting #8: cost 146 inf + 30962 569.553 * * [simplify]: Extracting #9: cost 58 inf + 64951 569.575 * * [simplify]: Extracting #10: cost 11 inf + 112021 569.599 * * [simplify]: Extracting #11: cost 1 inf + 124031 569.623 * * [simplify]: Extracting #12: cost 0 inf + 126096 569.647 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 569.647 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 569.648 * * * * [progress]: [ 1939 / 5906 ] simplifiying candidate # 569.648 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 569.648 * * [simplify]: iters left: 6 (53 enodes) 569.662 * * [simplify]: iters left: 5 (263 enodes) 569.720 * * [simplify]: Extracting #0: cost 1 inf + 0 569.720 * * [simplify]: Extracting #1: cost 3 inf + 0 569.720 * * [simplify]: Extracting #2: cost 6 inf + 0 569.720 * * [simplify]: Extracting #3: cost 60 inf + 0 569.721 * * [simplify]: Extracting #4: cost 153 inf + 0 569.721 * * [simplify]: Extracting #5: cost 224 inf + 44 569.722 * * [simplify]: Extracting #6: cost 275 inf + 3751 569.725 * * [simplify]: Extracting #7: cost 229 inf + 11852 569.729 * * [simplify]: Extracting #8: cost 172 inf + 22370 569.737 * * [simplify]: Extracting #9: cost 116 inf + 40948 569.749 * * [simplify]: Extracting #10: cost 54 inf + 73548 569.769 * * [simplify]: Extracting #11: cost 6 inf + 122323 569.794 * * [simplify]: Extracting #12: cost 0 inf + 129153 569.818 * * [simplify]: Extracting #13: cost 0 inf + 129113 569.843 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 569.843 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 569.844 * * * * [progress]: [ 1940 / 5906 ] simplifiying candidate # 569.844 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 569.845 * * [simplify]: iters left: 6 (53 enodes) 569.858 * * [simplify]: iters left: 5 (263 enodes) 569.919 * * [simplify]: Extracting #0: cost 1 inf + 0 569.920 * * [simplify]: Extracting #1: cost 3 inf + 0 569.920 * * [simplify]: Extracting #2: cost 6 inf + 0 569.920 * * [simplify]: Extracting #3: cost 62 inf + 0 569.920 * * [simplify]: Extracting #4: cost 151 inf + 0 569.920 * * [simplify]: Extracting #5: cost 220 inf + 44 569.922 * * [simplify]: Extracting #6: cost 267 inf + 4679 569.925 * * [simplify]: Extracting #7: cost 204 inf + 16139 569.930 * * [simplify]: Extracting #8: cost 147 inf + 33101 569.939 * * [simplify]: Extracting #9: cost 95 inf + 55446 569.951 * * [simplify]: Extracting #10: cost 50 inf + 74657 569.971 * * [simplify]: Extracting #11: cost 9 inf + 116760 569.997 * * [simplify]: Extracting #12: cost 0 inf + 126945 570.022 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 570.023 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 570.023 * * * * [progress]: [ 1941 / 5906 ] simplifiying candidate # 570.023 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 570.024 * * [simplify]: iters left: 6 (47 enodes) 570.035 * * [simplify]: iters left: 5 (227 enodes) 570.085 * * [simplify]: Extracting #0: cost 1 inf + 0 570.085 * * [simplify]: Extracting #1: cost 3 inf + 0 570.085 * * [simplify]: Extracting #2: cost 6 inf + 0 570.086 * * [simplify]: Extracting #3: cost 54 inf + 0 570.086 * * [simplify]: Extracting #4: cost 119 inf + 0 570.086 * * [simplify]: Extracting #5: cost 168 inf + 44 570.087 * * [simplify]: Extracting #6: cost 233 inf + 1638 570.088 * * [simplify]: Extracting #7: cost 203 inf + 6069 570.092 * * [simplify]: Extracting #8: cost 132 inf + 21888 570.100 * * [simplify]: Extracting #9: cost 68 inf + 49194 570.113 * * [simplify]: Extracting #10: cost 24 inf + 79430 570.131 * * [simplify]: Extracting #11: cost 1 inf + 100699 570.151 * * [simplify]: Extracting #12: cost 0 inf + 102444 570.173 * * [simplify]: Extracting #13: cost 0 inf + 102324 570.194 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) 570.194 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 570.194 * * * * [progress]: [ 1942 / 5906 ] simplifiying candidate # 570.195 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 570.195 * * [simplify]: iters left: 6 (52 enodes) 570.210 * * [simplify]: iters left: 5 (255 enodes) 570.266 * * [simplify]: Extracting #0: cost 1 inf + 0 570.266 * * [simplify]: Extracting #1: cost 3 inf + 0 570.266 * * [simplify]: Extracting #2: cost 10 inf + 0 570.266 * * [simplify]: Extracting #3: cost 74 inf + 0 570.266 * * [simplify]: Extracting #4: cost 137 inf + 1 570.267 * * [simplify]: Extracting #5: cost 189 inf + 248 570.268 * * [simplify]: Extracting #6: cost 250 inf + 3698 570.270 * * [simplify]: Extracting #7: cost 225 inf + 7721 570.273 * * [simplify]: Extracting #8: cost 144 inf + 26644 570.282 * * [simplify]: Extracting #9: cost 65 inf + 58503 570.300 * * [simplify]: Extracting #10: cost 16 inf + 102737 570.323 * * [simplify]: Extracting #11: cost 0 inf + 119655 570.349 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 570.349 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 570.350 * * * * [progress]: [ 1943 / 5906 ] simplifiying candidate # 570.350 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 570.350 * * [simplify]: iters left: 6 (47 enodes) 570.362 * * [simplify]: iters left: 5 (227 enodes) 570.409 * * [simplify]: Extracting #0: cost 1 inf + 0 570.409 * * [simplify]: Extracting #1: cost 3 inf + 0 570.409 * * [simplify]: Extracting #2: cost 10 inf + 0 570.409 * * [simplify]: Extracting #3: cost 66 inf + 0 570.409 * * [simplify]: Extracting #4: cost 117 inf + 44 570.410 * * [simplify]: Extracting #5: cost 156 inf + 820 570.411 * * [simplify]: Extracting #6: cost 223 inf + 2972 570.414 * * [simplify]: Extracting #7: cost 216 inf + 4398 570.417 * * [simplify]: Extracting #8: cost 140 inf + 20667 570.425 * * [simplify]: Extracting #9: cost 59 inf + 53629 570.440 * * [simplify]: Extracting #10: cost 14 inf + 84799 570.459 * * [simplify]: Extracting #11: cost 1 inf + 96909 570.479 * * [simplify]: Extracting #12: cost 0 inf + 98694 570.498 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) 570.499 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 570.499 * * * * [progress]: [ 1944 / 5906 ] simplifiying candidate # 570.499 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 570.500 * * [simplify]: iters left: 6 (52 enodes) 570.514 * * [simplify]: iters left: 5 (255 enodes) 570.571 * * [simplify]: Extracting #0: cost 1 inf + 0 570.571 * * [simplify]: Extracting #1: cost 3 inf + 0 570.571 * * [simplify]: Extracting #2: cost 10 inf + 0 570.571 * * [simplify]: Extracting #3: cost 74 inf + 0 570.571 * * [simplify]: Extracting #4: cost 137 inf + 1 570.572 * * [simplify]: Extracting #5: cost 189 inf + 248 570.573 * * [simplify]: Extracting #6: cost 257 inf + 2125 570.574 * * [simplify]: Extracting #7: cost 230 inf + 6631 570.578 * * [simplify]: Extracting #8: cost 150 inf + 24207 570.587 * * [simplify]: Extracting #9: cost 79 inf + 48316 570.604 * * [simplify]: Extracting #10: cost 17 inf + 102573 570.627 * * [simplify]: Extracting #11: cost 0 inf + 120615 570.651 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 570.651 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 570.652 * * * * [progress]: [ 1945 / 5906 ] simplifiying candidate # 570.652 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 570.652 * * [simplify]: iters left: 6 (47 enodes) 570.664 * * [simplify]: iters left: 5 (227 enodes) 570.712 * * [simplify]: Extracting #0: cost 1 inf + 0 570.712 * * [simplify]: Extracting #1: cost 3 inf + 0 570.712 * * [simplify]: Extracting #2: cost 10 inf + 0 570.712 * * [simplify]: Extracting #3: cost 65 inf + 0 570.713 * * [simplify]: Extracting #4: cost 114 inf + 370 570.713 * * [simplify]: Extracting #5: cost 149 inf + 1674 570.714 * * [simplify]: Extracting #6: cost 223 inf + 2932 570.715 * * [simplify]: Extracting #7: cost 216 inf + 4358 570.718 * * [simplify]: Extracting #8: cost 149 inf + 16805 570.725 * * [simplify]: Extracting #9: cost 81 inf + 40413 570.737 * * [simplify]: Extracting #10: cost 28 inf + 73241 570.757 * * [simplify]: Extracting #11: cost 3 inf + 94019 570.776 * * [simplify]: Extracting #12: cost 1 inf + 97549 570.795 * * [simplify]: Extracting #13: cost 0 inf + 99334 570.814 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) 570.814 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 570.815 * * * * [progress]: [ 1946 / 5906 ] simplifiying candidate # 570.815 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 570.816 * * [simplify]: iters left: 6 (52 enodes) 570.829 * * [simplify]: iters left: 5 (255 enodes) 570.888 * * [simplify]: Extracting #0: cost 1 inf + 0 570.888 * * [simplify]: Extracting #1: cost 3 inf + 0 570.888 * * [simplify]: Extracting #2: cost 6 inf + 0 570.888 * * [simplify]: Extracting #3: cost 56 inf + 0 570.889 * * [simplify]: Extracting #4: cost 130 inf + 0 570.889 * * [simplify]: Extracting #5: cost 209 inf + 0 570.890 * * [simplify]: Extracting #6: cost 288 inf + 298 570.891 * * [simplify]: Extracting #7: cost 248 inf + 6686 570.896 * * [simplify]: Extracting #8: cost 124 inf + 40333 570.908 * * [simplify]: Extracting #9: cost 45 inf + 73665 570.930 * * [simplify]: Extracting #10: cost 10 inf + 113609 570.954 * * [simplify]: Extracting #11: cost 0 inf + 124979 570.978 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 570.979 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 570.979 * * * * [progress]: [ 1947 / 5906 ] simplifiying candidate # 570.979 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 570.980 * * [simplify]: iters left: 6 (53 enodes) 570.993 * * [simplify]: iters left: 5 (264 enodes) 571.052 * * [simplify]: Extracting #0: cost 1 inf + 0 571.052 * * [simplify]: Extracting #1: cost 3 inf + 0 571.052 * * [simplify]: Extracting #2: cost 6 inf + 0 571.052 * * [simplify]: Extracting #3: cost 60 inf + 0 571.053 * * [simplify]: Extracting #4: cost 153 inf + 0 571.053 * * [simplify]: Extracting #5: cost 223 inf + 44 571.054 * * [simplify]: Extracting #6: cost 263 inf + 4399 571.057 * * [simplify]: Extracting #7: cost 227 inf + 11121 571.062 * * [simplify]: Extracting #8: cost 142 inf + 31942 571.073 * * [simplify]: Extracting #9: cost 52 inf + 72372 571.095 * * [simplify]: Extracting #10: cost 7 inf + 118581 571.120 * * [simplify]: Extracting #11: cost 0 inf + 127916 571.144 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 571.144 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 571.145 * * * * [progress]: [ 1948 / 5906 ] simplifiying candidate # 571.145 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 571.145 * * [simplify]: iters left: 6 (53 enodes) 571.160 * * [simplify]: iters left: 5 (264 enodes) 571.220 * * [simplify]: Extracting #0: cost 1 inf + 0 571.220 * * [simplify]: Extracting #1: cost 3 inf + 0 571.220 * * [simplify]: Extracting #2: cost 6 inf + 0 571.220 * * [simplify]: Extracting #3: cost 62 inf + 0 571.221 * * [simplify]: Extracting #4: cost 151 inf + 0 571.221 * * [simplify]: Extracting #5: cost 219 inf + 44 571.222 * * [simplify]: Extracting #6: cost 256 inf + 5245 571.225 * * [simplify]: Extracting #7: cost 221 inf + 12044 571.231 * * [simplify]: Extracting #8: cost 122 inf + 40727 571.242 * * [simplify]: Extracting #9: cost 54 inf + 69621 571.264 * * [simplify]: Extracting #10: cost 9 inf + 116603 571.288 * * [simplify]: Extracting #11: cost 0 inf + 126628 571.312 * * [simplify]: Extracting #12: cost 0 inf + 125668 571.336 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 571.336 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 571.337 * * * * [progress]: [ 1949 / 5906 ] simplifiying candidate # 571.337 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 571.337 * * [simplify]: iters left: 6 (47 enodes) 571.351 * * [simplify]: iters left: 5 (228 enodes) 571.399 * * [simplify]: Extracting #0: cost 1 inf + 0 571.399 * * [simplify]: Extracting #1: cost 3 inf + 0 571.399 * * [simplify]: Extracting #2: cost 6 inf + 0 571.399 * * [simplify]: Extracting #3: cost 54 inf + 0 571.400 * * [simplify]: Extracting #4: cost 119 inf + 0 571.400 * * [simplify]: Extracting #5: cost 167 inf + 44 571.401 * * [simplify]: Extracting #6: cost 224 inf + 1801 571.402 * * [simplify]: Extracting #7: cost 210 inf + 4482 571.404 * * [simplify]: Extracting #8: cost 172 inf + 9279 571.408 * * [simplify]: Extracting #9: cost 114 inf + 28021 571.420 * * [simplify]: Extracting #10: cost 48 inf + 60097 571.437 * * [simplify]: Extracting #11: cost 3 inf + 96572 571.456 * * [simplify]: Extracting #12: cost 1 inf + 100342 571.477 * * [simplify]: Extracting #13: cost 0 inf + 102247 571.498 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 571.499 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 571.499 * * * * [progress]: [ 1950 / 5906 ] simplifiying candidate # 571.499 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 571.500 * * [simplify]: iters left: 6 (52 enodes) 571.513 * * [simplify]: iters left: 5 (256 enodes) 571.569 * * [simplify]: Extracting #0: cost 1 inf + 0 571.569 * * [simplify]: Extracting #1: cost 3 inf + 0 571.569 * * [simplify]: Extracting #2: cost 10 inf + 0 571.569 * * [simplify]: Extracting #3: cost 74 inf + 0 571.569 * * [simplify]: Extracting #4: cost 137 inf + 1 571.570 * * [simplify]: Extracting #5: cost 188 inf + 248 571.571 * * [simplify]: Extracting #6: cost 249 inf + 2967 571.573 * * [simplify]: Extracting #7: cost 208 inf + 9740 571.576 * * [simplify]: Extracting #8: cost 161 inf + 18431 571.581 * * [simplify]: Extracting #9: cost 110 inf + 38643 571.593 * * [simplify]: Extracting #10: cost 54 inf + 63491 571.611 * * [simplify]: Extracting #11: cost 8 inf + 106498 571.634 * * [simplify]: Extracting #12: cost 1 inf + 116233 571.657 * * [simplify]: Extracting #13: cost 0 inf + 118298 571.680 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 571.680 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 571.681 * * * * [progress]: [ 1951 / 5906 ] simplifiying candidate # 571.681 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 571.682 * * [simplify]: iters left: 6 (47 enodes) 571.695 * * [simplify]: iters left: 5 (228 enodes) 571.742 * * [simplify]: Extracting #0: cost 1 inf + 0 571.742 * * [simplify]: Extracting #1: cost 3 inf + 0 571.742 * * [simplify]: Extracting #2: cost 10 inf + 0 571.742 * * [simplify]: Extracting #3: cost 66 inf + 0 571.743 * * [simplify]: Extracting #4: cost 117 inf + 44 571.743 * * [simplify]: Extracting #5: cost 151 inf + 1228 571.744 * * [simplify]: Extracting #6: cost 216 inf + 2932 571.745 * * [simplify]: Extracting #7: cost 206 inf + 4684 571.748 * * [simplify]: Extracting #8: cost 144 inf + 18652 571.759 * * [simplify]: Extracting #9: cost 57 inf + 54055 571.774 * * [simplify]: Extracting #10: cost 16 inf + 83248 571.793 * * [simplify]: Extracting #11: cost 1 inf + 96192 571.813 * * [simplify]: Extracting #12: cost 0 inf + 98017 571.833 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 571.833 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 571.834 * * * * [progress]: [ 1952 / 5906 ] simplifiying candidate # 571.834 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 571.834 * * [simplify]: iters left: 6 (52 enodes) 571.847 * * [simplify]: iters left: 5 (256 enodes) 571.904 * * [simplify]: Extracting #0: cost 1 inf + 0 571.904 * * [simplify]: Extracting #1: cost 3 inf + 0 571.904 * * [simplify]: Extracting #2: cost 10 inf + 0 571.904 * * [simplify]: Extracting #3: cost 74 inf + 0 571.904 * * [simplify]: Extracting #4: cost 137 inf + 1 571.905 * * [simplify]: Extracting #5: cost 188 inf + 248 571.905 * * [simplify]: Extracting #6: cost 254 inf + 1517 571.907 * * [simplify]: Extracting #7: cost 212 inf + 8972 571.910 * * [simplify]: Extracting #8: cost 162 inf + 17947 571.915 * * [simplify]: Extracting #9: cost 111 inf + 38159 571.928 * * [simplify]: Extracting #10: cost 55 inf + 63786 571.946 * * [simplify]: Extracting #11: cost 8 inf + 107458 571.969 * * [simplify]: Extracting #12: cost 1 inf + 117193 571.992 * * [simplify]: Extracting #13: cost 0 inf + 119258 572.016 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 572.016 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 572.016 * * * * [progress]: [ 1953 / 5906 ] simplifiying candidate # 572.016 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 572.017 * * [simplify]: iters left: 6 (47 enodes) 572.030 * * [simplify]: iters left: 5 (228 enodes) 572.078 * * [simplify]: Extracting #0: cost 1 inf + 0 572.078 * * [simplify]: Extracting #1: cost 3 inf + 0 572.078 * * [simplify]: Extracting #2: cost 10 inf + 0 572.078 * * [simplify]: Extracting #3: cost 65 inf + 0 572.079 * * [simplify]: Extracting #4: cost 116 inf + 86 572.079 * * [simplify]: Extracting #5: cost 149 inf + 1552 572.080 * * [simplify]: Extracting #6: cost 216 inf + 2932 572.081 * * [simplify]: Extracting #7: cost 207 inf + 4402 572.083 * * [simplify]: Extracting #8: cost 171 inf + 10236 572.088 * * [simplify]: Extracting #9: cost 109 inf + 31469 572.101 * * [simplify]: Extracting #10: cost 35 inf + 64231 572.116 * * [simplify]: Extracting #11: cost 10 inf + 86727 572.136 * * [simplify]: Extracting #12: cost 1 inf + 96752 572.155 * * [simplify]: Extracting #13: cost 0 inf + 98577 572.175 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) 572.175 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 572.176 * * * * [progress]: [ 1954 / 5906 ] simplifiying candidate # 572.176 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 572.176 * * [simplify]: iters left: 6 (48 enodes) 572.188 * * [simplify]: iters left: 5 (228 enodes) 572.238 * * [simplify]: Extracting #0: cost 1 inf + 0 572.238 * * [simplify]: Extracting #1: cost 3 inf + 0 572.238 * * [simplify]: Extracting #2: cost 6 inf + 0 572.238 * * [simplify]: Extracting #3: cost 48 inf + 0 572.238 * * [simplify]: Extracting #4: cost 112 inf + 0 572.239 * * [simplify]: Extracting #5: cost 178 inf + 0 572.239 * * [simplify]: Extracting #6: cost 240 inf + 298 572.240 * * [simplify]: Extracting #7: cost 208 inf + 4114 572.243 * * [simplify]: Extracting #8: cost 151 inf + 13787 572.247 * * [simplify]: Extracting #9: cost 91 inf + 32901 572.257 * * [simplify]: Extracting #10: cost 38 inf + 59496 572.277 * * [simplify]: Extracting #11: cost 1 inf + 96061 572.296 * * [simplify]: Extracting #12: cost 0 inf + 97806 572.315 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 572.315 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 572.316 * * * * [progress]: [ 1955 / 5906 ] simplifiying candidate # 572.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 572.316 * * [simplify]: iters left: 6 (49 enodes) 572.329 * * [simplify]: iters left: 5 (237 enodes) 572.382 * * [simplify]: Extracting #0: cost 1 inf + 0 572.382 * * [simplify]: Extracting #1: cost 3 inf + 0 572.382 * * [simplify]: Extracting #2: cost 6 inf + 0 572.382 * * [simplify]: Extracting #3: cost 52 inf + 0 572.382 * * [simplify]: Extracting #4: cost 135 inf + 0 572.383 * * [simplify]: Extracting #5: cost 191 inf + 85 572.384 * * [simplify]: Extracting #6: cost 211 inf + 5610 572.386 * * [simplify]: Extracting #7: cost 185 inf + 11079 572.389 * * [simplify]: Extracting #8: cost 145 inf + 17261 572.394 * * [simplify]: Extracting #9: cost 89 inf + 37305 572.404 * * [simplify]: Extracting #10: cost 39 inf + 60311 572.420 * * [simplify]: Extracting #11: cost 5 inf + 92818 572.442 * * [simplify]: Extracting #12: cost 1 inf + 98638 572.461 * * [simplify]: Extracting #13: cost 0 inf + 100503 572.480 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) 572.480 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (+ phi1 phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 572.481 * * * * [progress]: [ 1956 / 5906 ] simplifiying candidate # 572.481 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 572.482 * * [simplify]: iters left: 6 (49 enodes) 572.494 * * [simplify]: iters left: 5 (237 enodes) 572.549 * * [simplify]: Extracting #0: cost 1 inf + 0 572.549 * * [simplify]: Extracting #1: cost 3 inf + 0 572.549 * * [simplify]: Extracting #2: cost 6 inf + 0 572.549 * * [simplify]: Extracting #3: cost 54 inf + 0 572.549 * * [simplify]: Extracting #4: cost 133 inf + 0 572.550 * * [simplify]: Extracting #5: cost 185 inf + 288 572.551 * * [simplify]: Extracting #6: cost 202 inf + 6256 572.553 * * [simplify]: Extracting #7: cost 184 inf + 10474 572.556 * * [simplify]: Extracting #8: cost 140 inf + 17516 572.562 * * [simplify]: Extracting #9: cost 82 inf + 40563 572.570 * * [simplify]: Extracting #10: cost 45 inf + 55650 572.585 * * [simplify]: Extracting #11: cost 9 inf + 86630 572.603 * * [simplify]: Extracting #12: cost 0 inf + 96935 572.624 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 572.624 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 572.625 * * * * [progress]: [ 1957 / 5906 ] simplifiying candidate # 572.625 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 572.625 * * [simplify]: iters left: 6 (43 enodes) 572.636 * * [simplify]: iters left: 5 (200 enodes) 572.676 * * [simplify]: iters left: 4 (499 enodes) 572.840 * * [simplify]: Extracting #0: cost 1 inf + 0 572.840 * * [simplify]: Extracting #1: cost 3 inf + 0 572.840 * * [simplify]: Extracting #2: cost 16 inf + 0 572.840 * * [simplify]: Extracting #3: cost 155 inf + 0 572.841 * * [simplify]: Extracting #4: cost 341 inf + 167 572.843 * * [simplify]: Extracting #5: cost 397 inf + 3055 572.846 * * [simplify]: Extracting #6: cost 490 inf + 8856 572.850 * * [simplify]: Extracting #7: cost 538 inf + 14009 572.856 * * [simplify]: Extracting #8: cost 470 inf + 25323 572.876 * * [simplify]: Extracting #9: cost 290 inf + 111871 572.942 * * [simplify]: Extracting #10: cost 15 inf + 257298 573.005 * * [simplify]: Extracting #11: cost 0 inf + 259687 573.066 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 573.066 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 573.067 * * * * [progress]: [ 1958 / 5906 ] simplifiying candidate # 573.067 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 573.067 * * [simplify]: iters left: 6 (48 enodes) 573.080 * * [simplify]: iters left: 5 (228 enodes) 573.128 * * [simplify]: Extracting #0: cost 1 inf + 0 573.128 * * [simplify]: Extracting #1: cost 3 inf + 0 573.128 * * [simplify]: Extracting #2: cost 10 inf + 0 573.128 * * [simplify]: Extracting #3: cost 62 inf + 0 573.128 * * [simplify]: Extracting #4: cost 115 inf + 42 573.129 * * [simplify]: Extracting #5: cost 155 inf + 207 573.130 * * [simplify]: Extracting #6: cost 200 inf + 2242 573.131 * * [simplify]: Extracting #7: cost 173 inf + 7937 573.133 * * [simplify]: Extracting #8: cost 129 inf + 16495 573.138 * * [simplify]: Extracting #9: cost 77 inf + 37347 573.147 * * [simplify]: Extracting #10: cost 29 inf + 58285 573.162 * * [simplify]: Extracting #11: cost 3 inf + 85415 573.181 * * [simplify]: Extracting #12: cost 0 inf + 89970 573.199 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 573.199 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 573.199 * * * * [progress]: [ 1959 / 5906 ] simplifiying candidate # 573.199 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 573.200 * * [simplify]: iters left: 6 (43 enodes) 573.211 * * [simplify]: iters left: 5 (200 enodes) 573.254 * * [simplify]: iters left: 4 (480 enodes) 573.404 * * [simplify]: Extracting #0: cost 1 inf + 0 573.404 * * [simplify]: Extracting #1: cost 3 inf + 0 573.404 * * [simplify]: Extracting #2: cost 12 inf + 0 573.405 * * [simplify]: Extracting #3: cost 109 inf + 0 573.405 * * [simplify]: Extracting #4: cost 242 inf + 44 573.406 * * [simplify]: Extracting #5: cost 341 inf + 1839 573.409 * * [simplify]: Extracting #6: cost 435 inf + 6754 573.412 * * [simplify]: Extracting #7: cost 489 inf + 10699 573.423 * * [simplify]: Extracting #8: cost 322 inf + 58067 573.459 * * [simplify]: Extracting #9: cost 64 inf + 176492 573.505 * * [simplify]: Extracting #10: cost 3 inf + 211817 573.554 * * [simplify]: Extracting #11: cost 0 inf + 214137 573.601 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 573.601 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 573.602 * * * * [progress]: [ 1960 / 5906 ] simplifiying candidate # 573.602 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 573.602 * * [simplify]: iters left: 6 (48 enodes) 573.614 * * [simplify]: iters left: 5 (228 enodes) 573.663 * * [simplify]: Extracting #0: cost 1 inf + 0 573.663 * * [simplify]: Extracting #1: cost 3 inf + 0 573.663 * * [simplify]: Extracting #2: cost 10 inf + 0 573.663 * * [simplify]: Extracting #3: cost 62 inf + 0 573.663 * * [simplify]: Extracting #4: cost 115 inf + 42 573.664 * * [simplify]: Extracting #5: cost 154 inf + 249 573.664 * * [simplify]: Extracting #6: cost 201 inf + 2322 573.666 * * [simplify]: Extracting #7: cost 172 inf + 8559 573.668 * * [simplify]: Extracting #8: cost 133 inf + 15827 573.673 * * [simplify]: Extracting #9: cost 77 inf + 37944 573.682 * * [simplify]: Extracting #10: cost 28 inf + 59790 573.697 * * [simplify]: Extracting #11: cost 3 inf + 86055 573.717 * * [simplify]: Extracting #12: cost 0 inf + 90610 573.734 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 573.734 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 573.735 * * * * [progress]: [ 1961 / 5906 ] simplifiying candidate # 573.735 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 573.735 * * [simplify]: iters left: 6 (43 enodes) 573.746 * * [simplify]: iters left: 5 (200 enodes) 573.786 * * [simplify]: iters left: 4 (480 enodes) 573.939 * * [simplify]: Extracting #0: cost 1 inf + 0 573.939 * * [simplify]: Extracting #1: cost 3 inf + 0 573.939 * * [simplify]: Extracting #2: cost 12 inf + 0 573.939 * * [simplify]: Extracting #3: cost 106 inf + 0 573.940 * * [simplify]: Extracting #4: cost 250 inf + 44 573.941 * * [simplify]: Extracting #5: cost 348 inf + 1796 573.943 * * [simplify]: Extracting #6: cost 443 inf + 6468 573.947 * * [simplify]: Extracting #7: cost 493 inf + 11626 573.954 * * [simplify]: Extracting #8: cost 400 inf + 34485 573.973 * * [simplify]: Extracting #9: cost 212 inf + 112656 574.009 * * [simplify]: Extracting #10: cost 42 inf + 182012 574.054 * * [simplify]: Extracting #11: cost 2 inf + 214345 574.102 * * [simplify]: Extracting #12: cost 0 inf + 216755 574.150 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 574.150 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 574.150 * * * * [progress]: [ 1962 / 5906 ] simplifiying candidate # 574.151 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 574.151 * * [simplify]: iters left: 6 (50 enodes) 574.165 * * [simplify]: iters left: 5 (240 enodes) 574.217 * * [simplify]: Extracting #0: cost 1 inf + 0 574.217 * * [simplify]: Extracting #1: cost 3 inf + 0 574.217 * * [simplify]: Extracting #2: cost 6 inf + 0 574.217 * * [simplify]: Extracting #3: cost 57 inf + 0 574.217 * * [simplify]: Extracting #4: cost 128 inf + 0 574.218 * * [simplify]: Extracting #5: cost 192 inf + 0 574.218 * * [simplify]: Extracting #6: cost 261 inf + 86 574.219 * * [simplify]: Extracting #7: cost 230 inf + 3950 574.223 * * [simplify]: Extracting #8: cost 128 inf + 27967 574.233 * * [simplify]: Extracting #9: cost 46 inf + 67281 574.253 * * [simplify]: Extracting #10: cost 7 inf + 102262 574.273 * * [simplify]: Extracting #11: cost 1 inf + 109892 574.294 * * [simplify]: Extracting #12: cost 0 inf + 111677 574.315 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 574.315 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 574.316 * * * * [progress]: [ 1963 / 5906 ] simplifiying candidate # 574.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 574.316 * * [simplify]: iters left: 6 (51 enodes) 574.329 * * [simplify]: iters left: 5 (249 enodes) 574.383 * * [simplify]: Extracting #0: cost 1 inf + 0 574.383 * * [simplify]: Extracting #1: cost 3 inf + 0 574.383 * * [simplify]: Extracting #2: cost 6 inf + 0 574.383 * * [simplify]: Extracting #3: cost 61 inf + 0 574.383 * * [simplify]: Extracting #4: cost 151 inf + 0 574.384 * * [simplify]: Extracting #5: cost 206 inf + 44 574.385 * * [simplify]: Extracting #6: cost 247 inf + 2939 574.387 * * [simplify]: Extracting #7: cost 200 inf + 11200 574.392 * * [simplify]: Extracting #8: cost 127 inf + 30349 574.400 * * [simplify]: Extracting #9: cost 65 inf + 56520 574.414 * * [simplify]: Extracting #10: cost 35 inf + 77019 574.432 * * [simplify]: Extracting #11: cost 5 inf + 107009 574.454 * * [simplify]: Extracting #12: cost 0 inf + 114694 574.476 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 574.476 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 574.476 * * * * [progress]: [ 1964 / 5906 ] simplifiying candidate # 574.477 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 574.477 * * [simplify]: iters left: 6 (51 enodes) 574.491 * * [simplify]: iters left: 5 (249 enodes) 574.545 * * [simplify]: Extracting #0: cost 1 inf + 0 574.545 * * [simplify]: Extracting #1: cost 3 inf + 0 574.545 * * [simplify]: Extracting #2: cost 6 inf + 0 574.545 * * [simplify]: Extracting #3: cost 63 inf + 0 574.545 * * [simplify]: Extracting #4: cost 149 inf + 0 574.546 * * [simplify]: Extracting #5: cost 202 inf + 44 574.547 * * [simplify]: Extracting #6: cost 239 inf + 3106 574.549 * * [simplify]: Extracting #7: cost 201 inf + 10470 574.552 * * [simplify]: Extracting #8: cost 154 inf + 21424 574.559 * * [simplify]: Extracting #9: cost 96 inf + 45565 574.576 * * [simplify]: Extracting #10: cost 9 inf + 101783 574.599 * * [simplify]: Extracting #11: cost 0 inf + 112246 574.621 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 574.621 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 574.622 * * * * [progress]: [ 1965 / 5906 ] simplifiying candidate # 574.622 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 574.622 * * [simplify]: iters left: 6 (45 enodes) 574.633 * * [simplify]: iters left: 5 (213 enodes) 574.678 * * [simplify]: Extracting #0: cost 1 inf + 0 574.678 * * [simplify]: Extracting #1: cost 3 inf + 0 574.678 * * [simplify]: Extracting #2: cost 6 inf + 0 574.678 * * [simplify]: Extracting #3: cost 55 inf + 0 574.679 * * [simplify]: Extracting #4: cost 117 inf + 0 574.679 * * [simplify]: Extracting #5: cost 151 inf + 2 574.679 * * [simplify]: Extracting #6: cost 210 inf + 416 574.680 * * [simplify]: Extracting #7: cost 185 inf + 3754 574.682 * * [simplify]: Extracting #8: cost 151 inf + 9751 574.687 * * [simplify]: Extracting #9: cost 104 inf + 27268 574.694 * * [simplify]: Extracting #10: cost 51 inf + 47656 574.709 * * [simplify]: Extracting #11: cost 4 inf + 85725 574.727 * * [simplify]: Extracting #12: cost 0 inf + 89825 574.745 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (* phi1 phi1) (* phi2 phi2))))))) 574.746 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 574.746 * * * * [progress]: [ 1966 / 5906 ] simplifiying candidate # 574.746 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 574.747 * * [simplify]: iters left: 6 (50 enodes) 574.762 * * [simplify]: iters left: 5 (241 enodes) 574.814 * * [simplify]: Extracting #0: cost 1 inf + 0 574.814 * * [simplify]: Extracting #1: cost 3 inf + 0 574.814 * * [simplify]: Extracting #2: cost 10 inf + 0 574.814 * * [simplify]: Extracting #3: cost 75 inf + 0 574.814 * * [simplify]: Extracting #4: cost 142 inf + 1 574.815 * * [simplify]: Extracting #5: cost 179 inf + 207 574.815 * * [simplify]: Extracting #6: cost 232 inf + 1717 574.817 * * [simplify]: Extracting #7: cost 210 inf + 5392 574.820 * * [simplify]: Extracting #8: cost 143 inf + 20958 574.831 * * [simplify]: Extracting #9: cost 62 inf + 59917 574.848 * * [simplify]: Extracting #10: cost 8 inf + 101775 574.868 * * [simplify]: Extracting #11: cost 1 inf + 109626 574.889 * * [simplify]: Extracting #12: cost 0 inf + 111411 574.910 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 574.910 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 574.910 * * * * [progress]: [ 1967 / 5906 ] simplifiying candidate # 574.911 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 574.911 * * [simplify]: iters left: 6 (45 enodes) 574.922 * * [simplify]: iters left: 5 (213 enodes) 574.965 * * [simplify]: Extracting #0: cost 1 inf + 0 574.966 * * [simplify]: Extracting #1: cost 3 inf + 0 574.966 * * [simplify]: Extracting #2: cost 10 inf + 0 574.966 * * [simplify]: Extracting #3: cost 67 inf + 0 574.966 * * [simplify]: Extracting #4: cost 121 inf + 86 574.966 * * [simplify]: Extracting #5: cost 134 inf + 2282 574.967 * * [simplify]: Extracting #6: cost 195 inf + 2932 574.969 * * [simplify]: Extracting #7: cost 187 inf + 4599 574.971 * * [simplify]: Extracting #8: cost 133 inf + 18190 574.980 * * [simplify]: Extracting #9: cost 48 inf + 59354 574.996 * * [simplify]: Extracting #10: cost 5 inf + 87643 575.015 * * [simplify]: Extracting #11: cost 0 inf + 90770 575.033 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 575.033 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 575.034 * * * * [progress]: [ 1968 / 5906 ] simplifiying candidate # 575.034 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 575.034 * * [simplify]: iters left: 6 (50 enodes) 575.047 * * [simplify]: iters left: 5 (241 enodes) 575.101 * * [simplify]: Extracting #0: cost 1 inf + 0 575.101 * * [simplify]: Extracting #1: cost 3 inf + 0 575.101 * * [simplify]: Extracting #2: cost 10 inf + 0 575.102 * * [simplify]: Extracting #3: cost 75 inf + 0 575.102 * * [simplify]: Extracting #4: cost 142 inf + 1 575.102 * * [simplify]: Extracting #5: cost 179 inf + 207 575.103 * * [simplify]: Extracting #6: cost 231 inf + 2201 575.105 * * [simplify]: Extracting #7: cost 202 inf + 7398 575.108 * * [simplify]: Extracting #8: cost 140 inf + 22005 575.116 * * [simplify]: Extracting #9: cost 62 inf + 59837 575.134 * * [simplify]: Extracting #10: cost 8 inf + 102575 575.154 * * [simplify]: Extracting #11: cost 1 inf + 110586 575.177 * * [simplify]: Extracting #12: cost 0 inf + 112371 575.198 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) 575.198 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 575.198 * * * * [progress]: [ 1969 / 5906 ] simplifiying candidate # 575.199 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 575.199 * * [simplify]: iters left: 6 (45 enodes) 575.210 * * [simplify]: iters left: 5 (213 enodes) 575.252 * * [simplify]: Extracting #0: cost 1 inf + 0 575.253 * * [simplify]: Extracting #1: cost 3 inf + 0 575.253 * * [simplify]: Extracting #2: cost 10 inf + 0 575.253 * * [simplify]: Extracting #3: cost 66 inf + 0 575.253 * * [simplify]: Extracting #4: cost 122 inf + 44 575.253 * * [simplify]: Extracting #5: cost 143 inf + 985 575.254 * * [simplify]: Extracting #6: cost 195 inf + 2932 575.257 * * [simplify]: Extracting #7: cost 186 inf + 4762 575.260 * * [simplify]: Extracting #8: cost 131 inf + 18718 575.269 * * [simplify]: Extracting #9: cost 45 inf + 61588 575.286 * * [simplify]: Extracting #10: cost 3 inf + 88969 575.303 * * [simplify]: Extracting #11: cost 0 inf + 91170 575.320 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 575.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 575.321 * * * * [progress]: [ 1970 / 5906 ] simplifiying candidate # 575.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 575.321 * * [simplify]: iters left: 6 (51 enodes) 575.334 * * [simplify]: iters left: 5 (244 enodes) 575.387 * * [simplify]: Extracting #0: cost 1 inf + 0 575.387 * * [simplify]: Extracting #1: cost 3 inf + 0 575.387 * * [simplify]: Extracting #2: cost 6 inf + 0 575.387 * * [simplify]: Extracting #3: cost 56 inf + 0 575.387 * * [simplify]: Extracting #4: cost 130 inf + 0 575.388 * * [simplify]: Extracting #5: cost 200 inf + 0 575.389 * * [simplify]: Extracting #6: cost 256 inf + 822 575.390 * * [simplify]: Extracting #7: cost 195 inf + 10268 575.394 * * [simplify]: Extracting #8: cost 129 inf + 28971 575.404 * * [simplify]: Extracting #9: cost 54 inf + 59623 575.416 * * [simplify]: Extracting #10: cost 36 inf + 72353 575.437 * * [simplify]: Extracting #11: cost 6 inf + 105983 575.459 * * [simplify]: Extracting #12: cost 1 inf + 113388 575.482 * * [simplify]: Extracting #13: cost 0 inf + 115373 575.504 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 575.504 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 575.505 * * * * [progress]: [ 1971 / 5906 ] simplifiying candidate # 575.505 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 575.505 * * [simplify]: iters left: 6 (52 enodes) 575.520 * * [simplify]: iters left: 5 (253 enodes) 575.573 * * [simplify]: Extracting #0: cost 1 inf + 0 575.573 * * [simplify]: Extracting #1: cost 3 inf + 0 575.573 * * [simplify]: Extracting #2: cost 6 inf + 0 575.573 * * [simplify]: Extracting #3: cost 60 inf + 0 575.574 * * [simplify]: Extracting #4: cost 153 inf + 0 575.574 * * [simplify]: Extracting #5: cost 214 inf + 44 575.576 * * [simplify]: Extracting #6: cost 224 inf + 6591 575.579 * * [simplify]: Extracting #7: cost 171 inf + 18836 575.585 * * [simplify]: Extracting #8: cost 135 inf + 33736 575.594 * * [simplify]: Extracting #9: cost 95 inf + 51070 575.605 * * [simplify]: Extracting #10: cost 47 inf + 69935 575.621 * * [simplify]: Extracting #11: cost 14 inf + 100960 575.643 * * [simplify]: Extracting #12: cost 1 inf + 117605 575.665 * * [simplify]: Extracting #13: cost 0 inf + 119350 575.689 * * [simplify]: Extracting #14: cost 0 inf + 119310 575.711 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 575.711 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 575.712 * * * * [progress]: [ 1972 / 5906 ] simplifiying candidate # 575.712 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 575.712 * * [simplify]: iters left: 6 (52 enodes) 575.728 * * [simplify]: iters left: 5 (253 enodes) 575.783 * * [simplify]: Extracting #0: cost 1 inf + 0 575.784 * * [simplify]: Extracting #1: cost 3 inf + 0 575.784 * * [simplify]: Extracting #2: cost 6 inf + 0 575.784 * * [simplify]: Extracting #3: cost 62 inf + 0 575.784 * * [simplify]: Extracting #4: cost 151 inf + 0 575.784 * * [simplify]: Extracting #5: cost 210 inf + 44 575.786 * * [simplify]: Extracting #6: cost 222 inf + 7387 575.789 * * [simplify]: Extracting #7: cost 176 inf + 17576 575.795 * * [simplify]: Extracting #8: cost 135 inf + 34208 575.802 * * [simplify]: Extracting #9: cost 88 inf + 51271 575.813 * * [simplify]: Extracting #10: cost 42 inf + 70492 575.831 * * [simplify]: Extracting #11: cost 10 inf + 103932 575.855 * * [simplify]: Extracting #12: cost 1 inf + 115077 575.877 * * [simplify]: Extracting #13: cost 0 inf + 117182 575.899 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))))) 575.900 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 575.900 * * * * [progress]: [ 1973 / 5906 ] simplifiying candidate # 575.900 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 575.901 * * [simplify]: iters left: 6 (46 enodes) 575.912 * * [simplify]: iters left: 5 (217 enodes) 575.958 * * [simplify]: Extracting #0: cost 1 inf + 0 575.958 * * [simplify]: Extracting #1: cost 3 inf + 0 575.958 * * [simplify]: Extracting #2: cost 6 inf + 0 575.959 * * [simplify]: Extracting #3: cost 54 inf + 0 575.959 * * [simplify]: Extracting #4: cost 119 inf + 0 575.959 * * [simplify]: Extracting #5: cost 157 inf + 85 575.960 * * [simplify]: Extracting #6: cost 193 inf + 2453 575.961 * * [simplify]: Extracting #7: cost 167 inf + 6682 575.964 * * [simplify]: Extracting #8: cost 142 inf + 14589 575.969 * * [simplify]: Extracting #9: cost 96 inf + 34130 575.977 * * [simplify]: Extracting #10: cost 47 inf + 50479 575.987 * * [simplify]: Extracting #11: cost 29 inf + 61676 576.003 * * [simplify]: Extracting #12: cost 4 inf + 88301 576.021 * * [simplify]: Extracting #13: cost 0 inf + 94161 576.042 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) 576.042 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 576.043 * * * * [progress]: [ 1974 / 5906 ] simplifiying candidate # 576.043 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 576.043 * * [simplify]: iters left: 6 (51 enodes) 576.057 * * [simplify]: iters left: 5 (245 enodes) 576.111 * * [simplify]: Extracting #0: cost 1 inf + 0 576.111 * * [simplify]: Extracting #1: cost 3 inf + 0 576.112 * * [simplify]: Extracting #2: cost 10 inf + 0 576.112 * * [simplify]: Extracting #3: cost 74 inf + 0 576.112 * * [simplify]: Extracting #4: cost 137 inf + 1 576.112 * * [simplify]: Extracting #5: cost 179 inf + 249 576.113 * * [simplify]: Extracting #6: cost 213 inf + 3147 576.116 * * [simplify]: Extracting #7: cost 168 inf + 16577 576.122 * * [simplify]: Extracting #8: cost 98 inf + 43685 576.132 * * [simplify]: Extracting #9: cost 45 inf + 65087 576.148 * * [simplify]: Extracting #10: cost 6 inf + 99502 576.169 * * [simplify]: Extracting #11: cost 1 inf + 106907 576.190 * * [simplify]: Extracting #12: cost 0 inf + 108492 576.212 * * [simplify]: Extracting #13: cost 0 inf + 108452 576.233 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) 576.233 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 576.233 * * * * [progress]: [ 1975 / 5906 ] simplifiying candidate # 576.234 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 576.234 * * [simplify]: iters left: 6 (46 enodes) 576.245 * * [simplify]: iters left: 5 (217 enodes) 576.291 * * [simplify]: Extracting #0: cost 1 inf + 0 576.291 * * [simplify]: Extracting #1: cost 3 inf + 0 576.291 * * [simplify]: Extracting #2: cost 10 inf + 0 576.291 * * [simplify]: Extracting #3: cost 66 inf + 0 576.292 * * [simplify]: Extracting #4: cost 117 inf + 44 576.292 * * [simplify]: Extracting #5: cost 146 inf + 660 576.293 * * [simplify]: Extracting #6: cost 187 inf + 3180 576.294 * * [simplify]: Extracting #7: cost 166 inf + 7119 576.298 * * [simplify]: Extracting #8: cost 130 inf + 20342 576.303 * * [simplify]: Extracting #9: cost 87 inf + 36720 576.311 * * [simplify]: Extracting #10: cost 41 inf + 51866 576.323 * * [simplify]: Extracting #11: cost 11 inf + 74856 576.340 * * [simplify]: Extracting #12: cost 3 inf + 84056 576.357 * * [simplify]: Extracting #13: cost 1 inf + 87466 576.375 * * [simplify]: Extracting #14: cost 0 inf + 89211 576.393 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) 576.393 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 576.393 * * * * [progress]: [ 1976 / 5906 ] simplifiying candidate # 576.394 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 576.394 * * [simplify]: iters left: 6 (51 enodes) 576.407 * * [simplify]: iters left: 5 (245 enodes) 576.460 * * [simplify]: Extracting #0: cost 1 inf + 0 576.460 * * [simplify]: Extracting #1: cost 3 inf + 0 576.461 * * [simplify]: Extracting #2: cost 10 inf + 0 576.461 * * [simplify]: Extracting #3: cost 74 inf + 0 576.461 * * [simplify]: Extracting #4: cost 137 inf + 1 576.461 * * [simplify]: Extracting #5: cost 180 inf + 207 576.462 * * [simplify]: Extracting #6: cost 213 inf + 3307 576.465 * * [simplify]: Extracting #7: cost 164 inf + 17213 576.470 * * [simplify]: Extracting #8: cost 124 inf + 35051 576.477 * * [simplify]: Extracting #9: cost 91 inf + 46028 576.487 * * [simplify]: Extracting #10: cost 45 inf + 66047 576.504 * * [simplify]: Extracting #11: cost 6 inf + 100462 576.525 * * [simplify]: Extracting #12: cost 1 inf + 107867 576.548 * * [simplify]: Extracting #13: cost 0 inf + 109452 576.569 * * [simplify]: Extracting #14: cost 0 inf + 109412 576.590 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 576.590 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 576.591 * * * * [progress]: [ 1977 / 5906 ] simplifiying candidate # 576.591 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 576.592 * * [simplify]: iters left: 6 (46 enodes) 576.608 * * [simplify]: iters left: 5 (217 enodes) 576.654 * * [simplify]: Extracting #0: cost 1 inf + 0 576.654 * * [simplify]: Extracting #1: cost 3 inf + 0 576.654 * * [simplify]: Extracting #2: cost 10 inf + 0 576.654 * * [simplify]: Extracting #3: cost 65 inf + 0 576.654 * * [simplify]: Extracting #4: cost 117 inf + 44 576.655 * * [simplify]: Extracting #5: cost 144 inf + 945 576.655 * * [simplify]: Extracting #6: cost 189 inf + 2896 576.657 * * [simplify]: Extracting #7: cost 169 inf + 6513 576.660 * * [simplify]: Extracting #8: cost 132 inf + 19494 576.666 * * [simplify]: Extracting #9: cost 83 inf + 38379 576.674 * * [simplify]: Extracting #10: cost 32 inf + 57051 576.687 * * [simplify]: Extracting #11: cost 6 inf + 80861 576.703 * * [simplify]: Extracting #12: cost 1 inf + 88626 576.722 * * [simplify]: Extracting #13: cost 0 inf + 90371 576.739 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 576.739 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 576.739 * * * * [progress]: [ 1978 / 5906 ] simplifiying candidate # 576.739 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 576.740 * * [simplify]: iters left: 6 (48 enodes) 576.752 * * [simplify]: iters left: 5 (231 enodes) 576.803 * * [simplify]: Extracting #0: cost 1 inf + 0 576.803 * * [simplify]: Extracting #1: cost 3 inf + 0 576.803 * * [simplify]: Extracting #2: cost 6 inf + 0 576.803 * * [simplify]: Extracting #3: cost 54 inf + 0 576.803 * * [simplify]: Extracting #4: cost 120 inf + 0 576.804 * * [simplify]: Extracting #5: cost 186 inf + 0 576.804 * * [simplify]: Extracting #6: cost 249 inf + 86 576.805 * * [simplify]: Extracting #7: cost 213 inf + 4599 576.808 * * [simplify]: Extracting #8: cost 158 inf + 14420 576.813 * * [simplify]: Extracting #9: cost 91 inf + 36153 576.821 * * [simplify]: Extracting #10: cost 51 inf + 54245 576.832 * * [simplify]: Extracting #11: cost 32 inf + 69000 576.850 * * [simplify]: Extracting #12: cost 2 inf + 100790 576.870 * * [simplify]: Extracting #13: cost 0 inf + 104320 576.891 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) 576.891 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 576.892 * * * * [progress]: [ 1979 / 5906 ] simplifiying candidate # 576.892 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 576.892 * * [simplify]: iters left: 6 (49 enodes) 576.905 * * [simplify]: iters left: 5 (240 enodes) 576.958 * * [simplify]: Extracting #0: cost 1 inf + 0 576.958 * * [simplify]: Extracting #1: cost 3 inf + 0 576.958 * * [simplify]: Extracting #2: cost 6 inf + 0 576.958 * * [simplify]: Extracting #3: cost 58 inf + 0 576.959 * * [simplify]: Extracting #4: cost 143 inf + 0 576.961 * * [simplify]: Extracting #5: cost 198 inf + 126 576.962 * * [simplify]: Extracting #6: cost 212 inf + 7302 576.965 * * [simplify]: Extracting #7: cost 187 inf + 12835 576.968 * * [simplify]: Extracting #8: cost 129 inf + 22971 576.975 * * [simplify]: Extracting #9: cost 73 inf + 45758 576.991 * * [simplify]: Extracting #10: cost 10 inf + 96870 577.011 * * [simplify]: Extracting #11: cost 0 inf + 107177 577.031 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) 577.031 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 577.032 * * * * [progress]: [ 1980 / 5906 ] simplifiying candidate # 577.032 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 577.032 * * [simplify]: iters left: 6 (49 enodes) 577.045 * * [simplify]: iters left: 5 (240 enodes) 577.097 * * [simplify]: Extracting #0: cost 1 inf + 0 577.097 * * [simplify]: Extracting #1: cost 3 inf + 0 577.097 * * [simplify]: Extracting #2: cost 6 inf + 0 577.098 * * [simplify]: Extracting #3: cost 60 inf + 0 577.098 * * [simplify]: Extracting #4: cost 141 inf + 0 577.098 * * [simplify]: Extracting #5: cost 193 inf + 208 577.099 * * [simplify]: Extracting #6: cost 214 inf + 5729 577.102 * * [simplify]: Extracting #7: cost 188 inf + 11543 577.105 * * [simplify]: Extracting #8: cost 133 inf + 22657 577.112 * * [simplify]: Extracting #9: cost 72 inf + 45294 577.124 * * [simplify]: Extracting #10: cost 36 inf + 66290 577.140 * * [simplify]: Extracting #11: cost 5 inf + 96764 577.159 * * [simplify]: Extracting #12: cost 0 inf + 103409 577.178 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) 577.178 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 577.179 * * * * [progress]: [ 1981 / 5906 ] simplifiying candidate # 577.179 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 577.179 * * [simplify]: iters left: 6 (43 enodes) 577.190 * * [simplify]: iters left: 5 (204 enodes) 577.234 * * [simplify]: Extracting #0: cost 1 inf + 0 577.234 * * [simplify]: Extracting #1: cost 3 inf + 0 577.234 * * [simplify]: Extracting #2: cost 6 inf + 0 577.234 * * [simplify]: Extracting #3: cost 52 inf + 0 577.234 * * [simplify]: Extracting #4: cost 109 inf + 0 577.234 * * [simplify]: Extracting #5: cost 141 inf + 208 577.235 * * [simplify]: Extracting #6: cost 186 inf + 1558 577.236 * * [simplify]: Extracting #7: cost 166 inf + 5128 577.238 * * [simplify]: Extracting #8: cost 140 inf + 9227 577.243 * * [simplify]: Extracting #9: cost 84 inf + 29615 577.253 * * [simplify]: Extracting #10: cost 28 inf + 56084 577.268 * * [simplify]: Extracting #11: cost 2 inf + 79538 577.284 * * [simplify]: Extracting #12: cost 0 inf + 82708 577.303 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) 577.303 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (+ phi1 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 577.303 * * * * [progress]: [ 1982 / 5906 ] simplifiying candidate # 577.304 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 577.304 * * [simplify]: iters left: 6 (48 enodes) 577.316 * * [simplify]: iters left: 5 (232 enodes) 577.365 * * [simplify]: Extracting #0: cost 1 inf + 0 577.365 * * [simplify]: Extracting #1: cost 3 inf + 0 577.365 * * [simplify]: Extracting #2: cost 10 inf + 0 577.365 * * [simplify]: Extracting #3: cost 72 inf + 0 577.365 * * [simplify]: Extracting #4: cost 126 inf + 42 577.366 * * [simplify]: Extracting #5: cost 166 inf + 207 577.366 * * [simplify]: Extracting #6: cost 210 inf + 2162 577.370 * * [simplify]: Extracting #7: cost 192 inf + 5970 577.372 * * [simplify]: Extracting #8: cost 148 inf + 13671 577.377 * * [simplify]: Extracting #9: cost 93 inf + 34941 577.385 * * [simplify]: Extracting #10: cost 49 inf + 52494 577.394 * * [simplify]: Extracting #11: cost 32 inf + 64279 577.410 * * [simplify]: Extracting #12: cost 5 inf + 91194 577.430 * * [simplify]: Extracting #13: cost 0 inf + 98319 577.449 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) 577.449 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 577.450 * * * * [progress]: [ 1983 / 5906 ] simplifiying candidate # 577.450 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 577.450 * * [simplify]: iters left: 6 (43 enodes) 577.462 * * [simplify]: iters left: 5 (204 enodes) 577.503 * * [simplify]: Extracting #0: cost 1 inf + 0 577.503 * * [simplify]: Extracting #1: cost 3 inf + 0 577.503 * * [simplify]: Extracting #2: cost 10 inf + 0 577.503 * * [simplify]: Extracting #3: cost 64 inf + 0 577.503 * * [simplify]: Extracting #4: cost 106 inf + 86 577.504 * * [simplify]: Extracting #5: cost 128 inf + 1148 577.505 * * [simplify]: Extracting #6: cost 176 inf + 2932 577.506 * * [simplify]: Extracting #7: cost 171 inf + 4396 577.509 * * [simplify]: Extracting #8: cost 111 inf + 18956 577.515 * * [simplify]: Extracting #9: cost 59 inf + 38550 577.525 * * [simplify]: Extracting #10: cost 21 inf + 61072 577.541 * * [simplify]: Extracting #11: cost 2 inf + 76228 577.557 * * [simplify]: Extracting #12: cost 0 inf + 79318 577.574 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 577.574 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 577.574 * * * * [progress]: [ 1984 / 5906 ] simplifiying candidate # 577.575 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 577.575 * * [simplify]: iters left: 6 (48 enodes) 577.587 * * [simplify]: iters left: 5 (232 enodes) 577.637 * * [simplify]: Extracting #0: cost 1 inf + 0 577.637 * * [simplify]: Extracting #1: cost 3 inf + 0 577.637 * * [simplify]: Extracting #2: cost 10 inf + 0 577.638 * * [simplify]: Extracting #3: cost 72 inf + 0 577.638 * * [simplify]: Extracting #4: cost 126 inf + 42 577.638 * * [simplify]: Extracting #5: cost 165 inf + 249 577.639 * * [simplify]: Extracting #6: cost 210 inf + 2404 577.640 * * [simplify]: Extracting #7: cost 190 inf + 6293 577.643 * * [simplify]: Extracting #8: cost 147 inf + 14334 577.647 * * [simplify]: Extracting #9: cost 94 inf + 34796 577.655 * * [simplify]: Extracting #10: cost 49 inf + 53454 577.665 * * [simplify]: Extracting #11: cost 33 inf + 64414 577.681 * * [simplify]: Extracting #12: cost 5 inf + 92154 577.701 * * [simplify]: Extracting #13: cost 0 inf + 99279 577.722 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) 577.722 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 577.723 * * * * [progress]: [ 1985 / 5906 ] simplifiying candidate # 577.723 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 577.723 * * [simplify]: iters left: 6 (43 enodes) 577.734 * * [simplify]: iters left: 5 (204 enodes) 577.775 * * [simplify]: Extracting #0: cost 1 inf + 0 577.775 * * [simplify]: Extracting #1: cost 3 inf + 0 577.775 * * [simplify]: Extracting #2: cost 10 inf + 0 577.775 * * [simplify]: Extracting #3: cost 63 inf + 0 577.776 * * [simplify]: Extracting #4: cost 107 inf + 44 577.776 * * [simplify]: Extracting #5: cost 127 inf + 1430 577.777 * * [simplify]: Extracting #6: cost 176 inf + 2932 577.778 * * [simplify]: Extracting #7: cost 169 inf + 4760 577.781 * * [simplify]: Extracting #8: cost 111 inf + 19095 577.789 * * [simplify]: Extracting #9: cost 60 inf + 37978 577.798 * * [simplify]: Extracting #10: cost 23 inf + 57689 577.812 * * [simplify]: Extracting #11: cost 3 inf + 75123 577.827 * * [simplify]: Extracting #12: cost 0 inf + 79718 577.843 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 577.843 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 577.844 * * * * [progress]: [ 1986 / 5906 ] simplifiying candidate # 577.844 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 577.844 * * [simplify]: iters left: 6 (51 enodes) 577.857 * * [simplify]: iters left: 5 (244 enodes) 577.912 * * [simplify]: Extracting #0: cost 1 inf + 0 577.912 * * [simplify]: Extracting #1: cost 3 inf + 0 577.912 * * [simplify]: Extracting #2: cost 6 inf + 0 577.912 * * [simplify]: Extracting #3: cost 56 inf + 0 577.912 * * [simplify]: Extracting #4: cost 130 inf + 0 577.913 * * [simplify]: Extracting #5: cost 201 inf + 0 577.913 * * [simplify]: Extracting #6: cost 257 inf + 822 577.915 * * [simplify]: Extracting #7: cost 194 inf + 11313 577.919 * * [simplify]: Extracting #8: cost 126 inf + 30015 577.929 * * [simplify]: Extracting #9: cost 58 inf + 58845 577.940 * * [simplify]: Extracting #10: cost 37 inf + 72330 577.961 * * [simplify]: Extracting #11: cost 4 inf + 110395 577.983 * * [simplify]: Extracting #12: cost 0 inf + 117255 578.006 * * [simplify]: Extracting #13: cost 0 inf + 117215 578.028 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 578.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 578.029 * * * * [progress]: [ 1987 / 5906 ] simplifiying candidate # 578.029 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 578.029 * * [simplify]: iters left: 6 (52 enodes) 578.042 * * [simplify]: iters left: 5 (253 enodes) 578.097 * * [simplify]: Extracting #0: cost 1 inf + 0 578.097 * * [simplify]: Extracting #1: cost 3 inf + 0 578.097 * * [simplify]: Extracting #2: cost 6 inf + 0 578.097 * * [simplify]: Extracting #3: cost 60 inf + 0 578.097 * * [simplify]: Extracting #4: cost 153 inf + 0 578.098 * * [simplify]: Extracting #5: cost 215 inf + 44 578.099 * * [simplify]: Extracting #6: cost 228 inf + 6265 578.103 * * [simplify]: Extracting #7: cost 173 inf + 18514 578.108 * * [simplify]: Extracting #8: cost 137 inf + 33172 578.116 * * [simplify]: Extracting #9: cost 93 inf + 51420 578.130 * * [simplify]: Extracting #10: cost 38 inf + 76162 578.148 * * [simplify]: Extracting #11: cost 9 inf + 106167 578.170 * * [simplify]: Extracting #12: cost 1 inf + 116487 578.194 * * [simplify]: Extracting #13: cost 0 inf + 118552 578.217 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 578.217 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 578.218 * * * * [progress]: [ 1988 / 5906 ] simplifiying candidate # 578.218 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 578.218 * * [simplify]: iters left: 6 (52 enodes) 578.232 * * [simplify]: iters left: 5 (253 enodes) 578.286 * * [simplify]: Extracting #0: cost 1 inf + 0 578.286 * * [simplify]: Extracting #1: cost 3 inf + 0 578.286 * * [simplify]: Extracting #2: cost 6 inf + 0 578.286 * * [simplify]: Extracting #3: cost 62 inf + 0 578.287 * * [simplify]: Extracting #4: cost 151 inf + 0 578.287 * * [simplify]: Extracting #5: cost 211 inf + 44 578.289 * * [simplify]: Extracting #6: cost 214 inf + 8084 578.295 * * [simplify]: Extracting #7: cost 162 inf + 22976 578.301 * * [simplify]: Extracting #8: cost 121 inf + 41267 578.309 * * [simplify]: Extracting #9: cost 82 inf + 54624 578.326 * * [simplify]: Extracting #10: cost 15 inf + 101969 578.347 * * [simplify]: Extracting #11: cost 1 inf + 115759 578.370 * * [simplify]: Extracting #12: cost 0 inf + 117464 578.393 * * [simplify]: Extracting #13: cost 0 inf + 117424 578.415 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) 578.415 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 578.416 * * * * [progress]: [ 1989 / 5906 ] simplifiying candidate # 578.416 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 578.416 * * [simplify]: iters left: 6 (46 enodes) 578.428 * * [simplify]: iters left: 5 (217 enodes) 578.474 * * [simplify]: Extracting #0: cost 1 inf + 0 578.474 * * [simplify]: Extracting #1: cost 3 inf + 0 578.474 * * [simplify]: Extracting #2: cost 6 inf + 0 578.474 * * [simplify]: Extracting #3: cost 54 inf + 0 578.475 * * [simplify]: Extracting #4: cost 119 inf + 0 578.475 * * [simplify]: Extracting #5: cost 158 inf + 85 578.476 * * [simplify]: Extracting #6: cost 195 inf + 2371 578.477 * * [simplify]: Extracting #7: cost 169 inf + 6640 578.480 * * [simplify]: Extracting #8: cost 144 inf + 14147 578.485 * * [simplify]: Extracting #9: cost 98 inf + 33024 578.494 * * [simplify]: Extracting #10: cost 48 inf + 50469 578.505 * * [simplify]: Extracting #11: cost 29 inf + 61838 578.520 * * [simplify]: Extracting #12: cost 4 inf + 87663 578.538 * * [simplify]: Extracting #13: cost 0 inf + 93363 578.556 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) 578.556 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 578.556 * * * * [progress]: [ 1990 / 5906 ] simplifiying candidate # 578.556 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 578.558 * * [simplify]: iters left: 6 (51 enodes) 578.571 * * [simplify]: iters left: 5 (245 enodes) 578.622 * * [simplify]: Extracting #0: cost 1 inf + 0 578.623 * * [simplify]: Extracting #1: cost 3 inf + 0 578.623 * * [simplify]: Extracting #2: cost 10 inf + 0 578.623 * * [simplify]: Extracting #3: cost 74 inf + 0 578.623 * * [simplify]: Extracting #4: cost 137 inf + 1 578.623 * * [simplify]: Extracting #5: cost 180 inf + 249 578.624 * * [simplify]: Extracting #6: cost 214 inf + 3027 578.627 * * [simplify]: Extracting #7: cost 165 inf + 18348 578.635 * * [simplify]: Extracting #8: cost 125 inf + 33753 578.641 * * [simplify]: Extracting #9: cost 94 inf + 43034 578.650 * * [simplify]: Extracting #10: cost 53 inf + 58249 578.667 * * [simplify]: Extracting #11: cost 5 inf + 101929 578.688 * * [simplify]: Extracting #12: cost 0 inf + 110454 578.710 * * [simplify]: Extracting #13: cost 0 inf + 110054 578.732 * * [simplify]: Extracting #14: cost 0 inf + 110014 578.754 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 578.754 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 578.755 * * * * [progress]: [ 1991 / 5906 ] simplifiying candidate # 578.755 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 578.755 * * [simplify]: iters left: 6 (46 enodes) 578.767 * * [simplify]: iters left: 5 (217 enodes) 578.815 * * [simplify]: Extracting #0: cost 1 inf + 0 578.815 * * [simplify]: Extracting #1: cost 3 inf + 0 578.815 * * [simplify]: Extracting #2: cost 10 inf + 0 578.816 * * [simplify]: Extracting #3: cost 66 inf + 0 578.816 * * [simplify]: Extracting #4: cost 117 inf + 44 578.816 * * [simplify]: Extracting #5: cost 147 inf + 660 578.817 * * [simplify]: Extracting #6: cost 188 inf + 3180 578.818 * * [simplify]: Extracting #7: cost 168 inf + 6957 578.822 * * [simplify]: Extracting #8: cost 130 inf + 20385 578.827 * * [simplify]: Extracting #9: cost 83 inf + 38209 578.835 * * [simplify]: Extracting #10: cost 41 inf + 52268 578.847 * * [simplify]: Extracting #11: cost 15 inf + 73798 578.864 * * [simplify]: Extracting #12: cost 1 inf + 88108 578.881 * * [simplify]: Extracting #13: cost 0 inf + 89733 578.899 * * [simplify]: Extracting #14: cost 0 inf + 89653 578.917 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) 578.917 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 578.917 * * * * [progress]: [ 1992 / 5906 ] simplifiying candidate # 578.918 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 578.918 * * [simplify]: iters left: 6 (51 enodes) 578.931 * * [simplify]: iters left: 5 (245 enodes) 578.984 * * [simplify]: Extracting #0: cost 1 inf + 0 578.984 * * [simplify]: Extracting #1: cost 3 inf + 0 578.984 * * [simplify]: Extracting #2: cost 10 inf + 0 578.984 * * [simplify]: Extracting #3: cost 74 inf + 0 578.985 * * [simplify]: Extracting #4: cost 137 inf + 1 578.985 * * [simplify]: Extracting #5: cost 181 inf + 207 578.986 * * [simplify]: Extracting #6: cost 215 inf + 3105 578.989 * * [simplify]: Extracting #7: cost 163 inf + 18653 578.995 * * [simplify]: Extracting #8: cost 124 inf + 34925 579.001 * * [simplify]: Extracting #9: cost 92 inf + 44603 579.010 * * [simplify]: Extracting #10: cost 53 inf + 59209 579.027 * * [simplify]: Extracting #11: cost 6 inf + 101784 579.048 * * [simplify]: Extracting #12: cost 0 inf + 111414 579.072 * * [simplify]: Extracting #13: cost 0 inf + 111014 579.094 * * [simplify]: Extracting #14: cost 0 inf + 110974 579.117 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 579.117 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 579.118 * * * * [progress]: [ 1993 / 5906 ] simplifiying candidate # 579.118 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 579.118 * * [simplify]: iters left: 6 (46 enodes) 579.130 * * [simplify]: iters left: 5 (217 enodes) 579.177 * * [simplify]: Extracting #0: cost 1 inf + 0 579.177 * * [simplify]: Extracting #1: cost 3 inf + 0 579.177 * * [simplify]: Extracting #2: cost 10 inf + 0 579.177 * * [simplify]: Extracting #3: cost 65 inf + 0 579.177 * * [simplify]: Extracting #4: cost 117 inf + 44 579.178 * * [simplify]: Extracting #5: cost 145 inf + 945 579.179 * * [simplify]: Extracting #6: cost 188 inf + 3180 579.180 * * [simplify]: Extracting #7: cost 170 inf + 6473 579.183 * * [simplify]: Extracting #8: cost 132 inf + 19857 579.189 * * [simplify]: Extracting #9: cost 80 inf + 39603 579.198 * * [simplify]: Extracting #10: cost 33 inf + 57228 579.210 * * [simplify]: Extracting #11: cost 12 inf + 76073 579.227 * * [simplify]: Extracting #12: cost 1 inf + 88468 579.244 * * [simplify]: Extracting #13: cost 0 inf + 90133 579.263 * * [simplify]: Extracting #14: cost 0 inf + 90053 579.281 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 579.281 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 579.281 * * * * [progress]: [ 1994 / 5906 ] simplifiying candidate # 579.282 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 579.282 * * [simplify]: iters left: 6 (52 enodes) 579.295 * * [simplify]: iters left: 5 (255 enodes) 579.355 * * [simplify]: Extracting #0: cost 1 inf + 0 579.355 * * [simplify]: Extracting #1: cost 3 inf + 0 579.355 * * [simplify]: Extracting #2: cost 6 inf + 0 579.355 * * [simplify]: Extracting #3: cost 56 inf + 0 579.355 * * [simplify]: Extracting #4: cost 130 inf + 0 579.355 * * [simplify]: Extracting #5: cost 207 inf + 0 579.356 * * [simplify]: Extracting #6: cost 293 inf + 335 579.358 * * [simplify]: Extracting #7: cost 235 inf + 9580 579.363 * * [simplify]: Extracting #8: cost 151 inf + 31047 579.371 * * [simplify]: Extracting #9: cost 100 inf + 51603 579.382 * * [simplify]: Extracting #10: cost 51 inf + 70630 579.402 * * [simplify]: Extracting #11: cost 8 inf + 113745 579.430 * * [simplify]: Extracting #12: cost 0 inf + 125145 579.454 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 579.454 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 579.454 * * * * [progress]: [ 1995 / 5906 ] simplifiying candidate # 579.455 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 579.455 * * [simplify]: iters left: 6 (53 enodes) 579.468 * * [simplify]: iters left: 5 (264 enodes) 579.528 * * [simplify]: Extracting #0: cost 1 inf + 0 579.528 * * [simplify]: Extracting #1: cost 3 inf + 0 579.528 * * [simplify]: Extracting #2: cost 6 inf + 0 579.528 * * [simplify]: Extracting #3: cost 60 inf + 0 579.529 * * [simplify]: Extracting #4: cost 153 inf + 0 579.529 * * [simplify]: Extracting #5: cost 221 inf + 44 579.530 * * [simplify]: Extracting #6: cost 263 inf + 5180 579.533 * * [simplify]: Extracting #7: cost 214 inf + 14834 579.538 * * [simplify]: Extracting #8: cost 158 inf + 29008 579.547 * * [simplify]: Extracting #9: cost 96 inf + 55497 579.559 * * [simplify]: Extracting #10: cost 50 inf + 74434 579.581 * * [simplify]: Extracting #11: cost 7 inf + 117307 579.605 * * [simplify]: Extracting #12: cost 0 inf + 126562 579.629 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 579.629 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 579.630 * * * * [progress]: [ 1996 / 5906 ] simplifiying candidate # 579.630 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 579.630 * * [simplify]: iters left: 6 (53 enodes) 579.644 * * [simplify]: iters left: 5 (264 enodes) 579.703 * * [simplify]: Extracting #0: cost 1 inf + 0 579.703 * * [simplify]: Extracting #1: cost 3 inf + 0 579.703 * * [simplify]: Extracting #2: cost 6 inf + 0 579.703 * * [simplify]: Extracting #3: cost 62 inf + 0 579.703 * * [simplify]: Extracting #4: cost 151 inf + 0 579.704 * * [simplify]: Extracting #5: cost 216 inf + 86 579.705 * * [simplify]: Extracting #6: cost 264 inf + 5370 579.708 * * [simplify]: Extracting #7: cost 208 inf + 16666 579.712 * * [simplify]: Extracting #8: cost 159 inf + 28443 579.722 * * [simplify]: Extracting #9: cost 95 inf + 58935 579.735 * * [simplify]: Extracting #10: cost 49 inf + 74849 579.758 * * [simplify]: Extracting #11: cost 12 inf + 112454 579.781 * * [simplify]: Extracting #12: cost 0 inf + 126154 579.805 * * [simplify]: Extracting #13: cost 0 inf + 125674 579.829 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 579.829 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 579.830 * * * * [progress]: [ 1997 / 5906 ] simplifiying candidate # 579.830 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 579.830 * * [simplify]: iters left: 6 (47 enodes) 579.844 * * [simplify]: iters left: 5 (228 enodes) 579.892 * * [simplify]: Extracting #0: cost 1 inf + 0 579.892 * * [simplify]: Extracting #1: cost 3 inf + 0 579.892 * * [simplify]: Extracting #2: cost 6 inf + 0 579.892 * * [simplify]: Extracting #3: cost 54 inf + 0 579.892 * * [simplify]: Extracting #4: cost 119 inf + 0 579.892 * * [simplify]: Extracting #5: cost 164 inf + 86 579.893 * * [simplify]: Extracting #6: cost 233 inf + 1400 579.895 * * [simplify]: Extracting #7: cost 193 inf + 8818 579.900 * * [simplify]: Extracting #8: cost 120 inf + 28209 579.911 * * [simplify]: Extracting #9: cost 61 inf + 52535 579.926 * * [simplify]: Extracting #10: cost 9 inf + 93048 579.946 * * [simplify]: Extracting #11: cost 1 inf + 99428 579.966 * * [simplify]: Extracting #12: cost 0 inf + 101253 579.986 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) 579.986 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (+ phi1 phi2) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 579.986 * * * * [progress]: [ 1998 / 5906 ] simplifiying candidate # 579.987 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 579.987 * * [simplify]: iters left: 6 (52 enodes) 580.000 * * [simplify]: iters left: 5 (256 enodes) 580.058 * * [simplify]: Extracting #0: cost 1 inf + 0 580.058 * * [simplify]: Extracting #1: cost 3 inf + 0 580.058 * * [simplify]: Extracting #2: cost 10 inf + 0 580.058 * * [simplify]: Extracting #3: cost 74 inf + 0 580.058 * * [simplify]: Extracting #4: cost 136 inf + 42 580.059 * * [simplify]: Extracting #5: cost 186 inf + 248 580.060 * * [simplify]: Extracting #6: cost 252 inf + 2338 580.062 * * [simplify]: Extracting #7: cost 200 inf + 13430 580.067 * * [simplify]: Extracting #8: cost 144 inf + 32010 580.075 * * [simplify]: Extracting #9: cost 91 inf + 51804 580.088 * * [simplify]: Extracting #10: cost 51 inf + 67669 580.107 * * [simplify]: Extracting #11: cost 6 inf + 107914 580.129 * * [simplify]: Extracting #12: cost 1 inf + 114839 580.153 * * [simplify]: Extracting #13: cost 0 inf + 116864 580.176 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 580.176 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 580.176 * * * * [progress]: [ 1999 / 5906 ] simplifiying candidate # 580.177 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 580.177 * * [simplify]: iters left: 6 (47 enodes) 580.191 * * [simplify]: iters left: 5 (228 enodes) 580.244 * * [simplify]: Extracting #0: cost 1 inf + 0 580.244 * * [simplify]: Extracting #1: cost 3 inf + 0 580.244 * * [simplify]: Extracting #2: cost 10 inf + 0 580.244 * * [simplify]: Extracting #3: cost 66 inf + 0 580.244 * * [simplify]: Extracting #4: cost 117 inf + 44 580.245 * * [simplify]: Extracting #5: cost 149 inf + 1268 580.246 * * [simplify]: Extracting #6: cost 221 inf + 3059 580.248 * * [simplify]: Extracting #7: cost 179 inf + 11565 580.254 * * [simplify]: Extracting #8: cost 106 inf + 38015 580.266 * * [simplify]: Extracting #9: cost 42 inf + 62366 580.281 * * [simplify]: Extracting #10: cost 5 inf + 93724 580.300 * * [simplify]: Extracting #11: cost 1 inf + 95638 580.319 * * [simplify]: Extracting #12: cost 0 inf + 97343 580.337 * * [simplify]: Extracting #13: cost 0 inf + 97263 580.357 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 580.357 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 580.358 * * * * [progress]: [ 2000 / 5906 ] simplifiying candidate # 580.358 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 580.358 * * [simplify]: iters left: 6 (52 enodes) 580.371 * * [simplify]: iters left: 5 (256 enodes) 580.427 * * [simplify]: Extracting #0: cost 1 inf + 0 580.427 * * [simplify]: Extracting #1: cost 3 inf + 0 580.427 * * [simplify]: Extracting #2: cost 10 inf + 0 580.427 * * [simplify]: Extracting #3: cost 74 inf + 0 580.427 * * [simplify]: Extracting #4: cost 136 inf + 42 580.430 * * [simplify]: Extracting #5: cost 186 inf + 248 580.431 * * [simplify]: Extracting #6: cost 254 inf + 2094 580.433 * * [simplify]: Extracting #7: cost 203 inf + 12564 580.437 * * [simplify]: Extracting #8: cost 144 inf + 32029 580.446 * * [simplify]: Extracting #9: cost 90 inf + 52748 580.457 * * [simplify]: Extracting #10: cost 51 inf + 68629 580.475 * * [simplify]: Extracting #11: cost 6 inf + 108874 580.498 * * [simplify]: Extracting #12: cost 1 inf + 115799 580.523 * * [simplify]: Extracting #13: cost 0 inf + 117824 580.547 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 580.547 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 580.547 * * * * [progress]: [ 2001 / 5906 ] simplifiying candidate # 580.548 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 580.548 * * [simplify]: iters left: 6 (47 enodes) 580.560 * * [simplify]: iters left: 5 (228 enodes) 580.609 * * [simplify]: Extracting #0: cost 1 inf + 0 580.610 * * [simplify]: Extracting #1: cost 3 inf + 0 580.610 * * [simplify]: Extracting #2: cost 10 inf + 0 580.610 * * [simplify]: Extracting #3: cost 65 inf + 0 580.610 * * [simplify]: Extracting #4: cost 116 inf + 86 580.610 * * [simplify]: Extracting #5: cost 142 inf + 2282 580.611 * * [simplify]: Extracting #6: cost 221 inf + 3059 580.613 * * [simplify]: Extracting #7: cost 181 inf + 11361 580.619 * * [simplify]: Extracting #8: cost 99 inf + 40974 580.630 * * [simplify]: Extracting #9: cost 39 inf + 63658 580.645 * * [simplify]: Extracting #10: cost 6 inf + 90459 580.663 * * [simplify]: Extracting #11: cost 1 inf + 96038 580.682 * * [simplify]: Extracting #12: cost 0 inf + 97823 580.703 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 580.703 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 580.704 * * * * [progress]: [ 2002 / 5906 ] simplifiying candidate # 580.704 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 580.704 * * [simplify]: iters left: 6 (52 enodes) 580.717 * * [simplify]: iters left: 5 (254 enodes) 580.775 * * [simplify]: Extracting #0: cost 1 inf + 0 580.775 * * [simplify]: Extracting #1: cost 3 inf + 0 580.775 * * [simplify]: Extracting #2: cost 6 inf + 0 580.776 * * [simplify]: Extracting #3: cost 56 inf + 0 580.776 * * [simplify]: Extracting #4: cost 130 inf + 0 580.776 * * [simplify]: Extracting #5: cost 210 inf + 0 580.777 * * [simplify]: Extracting #6: cost 288 inf + 335 580.779 * * [simplify]: Extracting #7: cost 230 inf + 8180 580.783 * * [simplify]: Extracting #8: cost 146 inf + 29484 580.791 * * [simplify]: Extracting #9: cost 96 inf + 50752 580.802 * * [simplify]: Extracting #10: cost 51 inf + 68903 580.821 * * [simplify]: Extracting #11: cost 8 inf + 114096 580.846 * * [simplify]: Extracting #12: cost 1 inf + 122391 580.872 * * [simplify]: Extracting #13: cost 0 inf + 124416 580.896 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 580.896 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 580.896 * * * * [progress]: [ 2003 / 5906 ] simplifiying candidate # 580.896 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 580.897 * * [simplify]: iters left: 6 (53 enodes) 580.910 * * [simplify]: iters left: 5 (263 enodes) 580.970 * * [simplify]: Extracting #0: cost 1 inf + 0 580.970 * * [simplify]: Extracting #1: cost 3 inf + 0 580.970 * * [simplify]: Extracting #2: cost 6 inf + 0 580.970 * * [simplify]: Extracting #3: cost 60 inf + 0 580.971 * * [simplify]: Extracting #4: cost 153 inf + 0 580.971 * * [simplify]: Extracting #5: cost 224 inf + 44 580.972 * * [simplify]: Extracting #6: cost 267 inf + 3962 580.975 * * [simplify]: Extracting #7: cost 202 inf + 16145 580.983 * * [simplify]: Extracting #8: cost 110 inf + 49713 580.995 * * [simplify]: Extracting #9: cost 50 inf + 73263 581.014 * * [simplify]: Extracting #10: cost 11 inf + 113478 581.040 * * [simplify]: Extracting #11: cost 0 inf + 127433 581.064 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 581.064 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 581.064 * * * * [progress]: [ 2004 / 5906 ] simplifiying candidate # 581.065 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 581.065 * * [simplify]: iters left: 6 (53 enodes) 581.078 * * [simplify]: iters left: 5 (263 enodes) 581.138 * * [simplify]: Extracting #0: cost 1 inf + 0 581.138 * * [simplify]: Extracting #1: cost 3 inf + 0 581.138 * * [simplify]: Extracting #2: cost 6 inf + 0 581.138 * * [simplify]: Extracting #3: cost 62 inf + 0 581.139 * * [simplify]: Extracting #4: cost 151 inf + 0 581.139 * * [simplify]: Extracting #5: cost 220 inf + 44 581.140 * * [simplify]: Extracting #6: cost 261 inf + 4486 581.143 * * [simplify]: Extracting #7: cost 196 inf + 17833 581.151 * * [simplify]: Extracting #8: cost 134 inf + 41342 581.160 * * [simplify]: Extracting #9: cost 99 inf + 53764 581.171 * * [simplify]: Extracting #10: cost 55 inf + 69772 581.187 * * [simplify]: Extracting #11: cost 36 inf + 82765 581.207 * * [simplify]: Extracting #12: cost 4 inf + 118645 581.230 * * [simplify]: Extracting #13: cost 0 inf + 125265 581.254 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 581.254 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 581.254 * * * * [progress]: [ 2005 / 5906 ] simplifiying candidate # 581.254 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 581.255 * * [simplify]: iters left: 6 (47 enodes) 581.266 * * [simplify]: iters left: 5 (227 enodes) 581.315 * * [simplify]: Extracting #0: cost 1 inf + 0 581.315 * * [simplify]: Extracting #1: cost 3 inf + 0 581.315 * * [simplify]: Extracting #2: cost 6 inf + 0 581.315 * * [simplify]: Extracting #3: cost 54 inf + 0 581.315 * * [simplify]: Extracting #4: cost 119 inf + 0 581.316 * * [simplify]: Extracting #5: cost 165 inf + 370 581.317 * * [simplify]: Extracting #6: cost 222 inf + 2654 581.318 * * [simplify]: Extracting #7: cost 186 inf + 8063 581.322 * * [simplify]: Extracting #8: cost 141 inf + 21493 581.328 * * [simplify]: Extracting #9: cost 94 inf + 40695 581.338 * * [simplify]: Extracting #10: cost 42 inf + 59794 581.355 * * [simplify]: Extracting #11: cost 8 inf + 88964 581.374 * * [simplify]: Extracting #12: cost 1 inf + 97739 581.393 * * [simplify]: Extracting #13: cost 0 inf + 99564 581.413 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 581.413 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 581.413 * * * * [progress]: [ 2006 / 5906 ] simplifiying candidate # 581.414 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 581.414 * * [simplify]: iters left: 6 (52 enodes) 581.427 * * [simplify]: iters left: 5 (255 enodes) 581.485 * * [simplify]: Extracting #0: cost 1 inf + 0 581.485 * * [simplify]: Extracting #1: cost 3 inf + 0 581.485 * * [simplify]: Extracting #2: cost 10 inf + 0 581.485 * * [simplify]: Extracting #3: cost 74 inf + 0 581.485 * * [simplify]: Extracting #4: cost 137 inf + 1 581.486 * * [simplify]: Extracting #5: cost 190 inf + 207 581.487 * * [simplify]: Extracting #6: cost 237 inf + 4359 581.490 * * [simplify]: Extracting #7: cost 179 inf + 20987 581.498 * * [simplify]: Extracting #8: cost 100 inf + 48430 581.508 * * [simplify]: Extracting #9: cost 48 inf + 67137 581.528 * * [simplify]: Extracting #10: cost 8 inf + 106495 581.550 * * [simplify]: Extracting #11: cost 0 inf + 115295 581.573 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 581.574 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 581.574 * * * * [progress]: [ 2007 / 5906 ] simplifiying candidate # 581.574 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 581.575 * * [simplify]: iters left: 6 (47 enodes) 581.587 * * [simplify]: iters left: 5 (227 enodes) 581.635 * * [simplify]: Extracting #0: cost 1 inf + 0 581.635 * * [simplify]: Extracting #1: cost 3 inf + 0 581.635 * * [simplify]: Extracting #2: cost 10 inf + 0 581.635 * * [simplify]: Extracting #3: cost 66 inf + 0 581.636 * * [simplify]: Extracting #4: cost 117 inf + 44 581.636 * * [simplify]: Extracting #5: cost 154 inf + 1064 581.637 * * [simplify]: Extracting #6: cost 217 inf + 3057 581.639 * * [simplify]: Extracting #7: cost 180 inf + 9395 581.642 * * [simplify]: Extracting #8: cost 152 inf + 14657 581.646 * * [simplify]: Extracting #9: cost 110 inf + 29291 581.656 * * [simplify]: Extracting #10: cost 30 inf + 66543 581.673 * * [simplify]: Extracting #11: cost 4 inf + 89114 581.693 * * [simplify]: Extracting #12: cost 1 inf + 93549 581.712 * * [simplify]: Extracting #13: cost 0 inf + 95334 581.731 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 581.731 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 581.731 * * * * [progress]: [ 2008 / 5906 ] simplifiying candidate # 581.732 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 581.732 * * [simplify]: iters left: 6 (52 enodes) 581.745 * * [simplify]: iters left: 5 (255 enodes) 581.803 * * [simplify]: Extracting #0: cost 1 inf + 0 581.803 * * [simplify]: Extracting #1: cost 3 inf + 0 581.804 * * [simplify]: Extracting #2: cost 10 inf + 0 581.804 * * [simplify]: Extracting #3: cost 74 inf + 0 581.804 * * [simplify]: Extracting #4: cost 137 inf + 1 581.804 * * [simplify]: Extracting #5: cost 190 inf + 207 581.805 * * [simplify]: Extracting #6: cost 238 inf + 3755 581.808 * * [simplify]: Extracting #7: cost 187 inf + 17923 581.815 * * [simplify]: Extracting #8: cost 104 inf + 46980 581.826 * * [simplify]: Extracting #9: cost 48 inf + 68097 581.844 * * [simplify]: Extracting #10: cost 7 inf + 108360 581.869 * * [simplify]: Extracting #11: cost 0 inf + 116255 581.892 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 581.892 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 581.893 * * * * [progress]: [ 2009 / 5906 ] simplifiying candidate # 581.893 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 581.893 * * [simplify]: iters left: 6 (47 enodes) 581.905 * * [simplify]: iters left: 5 (227 enodes) 581.954 * * [simplify]: Extracting #0: cost 1 inf + 0 581.954 * * [simplify]: Extracting #1: cost 3 inf + 0 581.954 * * [simplify]: Extracting #2: cost 10 inf + 0 581.954 * * [simplify]: Extracting #3: cost 65 inf + 0 581.955 * * [simplify]: Extracting #4: cost 117 inf + 44 581.955 * * [simplify]: Extracting #5: cost 158 inf + 496 581.956 * * [simplify]: Extracting #6: cost 218 inf + 2855 581.958 * * [simplify]: Extracting #7: cost 176 inf + 10203 581.961 * * [simplify]: Extracting #8: cost 142 inf + 18805 581.967 * * [simplify]: Extracting #9: cost 99 inf + 37932 581.977 * * [simplify]: Extracting #10: cost 40 inf + 60534 581.992 * * [simplify]: Extracting #11: cost 5 inf + 88569 582.010 * * [simplify]: Extracting #12: cost 1 inf + 94109 582.031 * * [simplify]: Extracting #13: cost 0 inf + 95814 582.049 * * [simplify]: Extracting #14: cost 0 inf + 95734 582.068 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) 582.069 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 582.069 * * * * [progress]: [ 2010 / 5906 ] simplifiying candidate # 582.069 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 582.070 * * [simplify]: iters left: 6 (52 enodes) 582.084 * * [simplify]: iters left: 5 (255 enodes) 582.143 * * [simplify]: Extracting #0: cost 1 inf + 0 582.143 * * [simplify]: Extracting #1: cost 3 inf + 0 582.143 * * [simplify]: Extracting #2: cost 6 inf + 0 582.143 * * [simplify]: Extracting #3: cost 56 inf + 0 582.143 * * [simplify]: Extracting #4: cost 130 inf + 0 582.143 * * [simplify]: Extracting #5: cost 210 inf + 0 582.144 * * [simplify]: Extracting #6: cost 283 inf + 213 582.146 * * [simplify]: Extracting #7: cost 228 inf + 7891 582.151 * * [simplify]: Extracting #8: cost 118 inf + 39015 582.163 * * [simplify]: Extracting #9: cost 46 inf + 73296 582.183 * * [simplify]: Extracting #10: cost 2 inf + 119714 582.209 * * [simplify]: Extracting #11: cost 0 inf + 123724 582.233 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 582.233 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 582.234 * * * * [progress]: [ 2011 / 5906 ] simplifiying candidate # 582.234 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 582.234 * * [simplify]: iters left: 6 (53 enodes) 582.248 * * [simplify]: iters left: 5 (264 enodes) 582.308 * * [simplify]: Extracting #0: cost 1 inf + 0 582.308 * * [simplify]: Extracting #1: cost 3 inf + 0 582.308 * * [simplify]: Extracting #2: cost 6 inf + 0 582.308 * * [simplify]: Extracting #3: cost 60 inf + 0 582.308 * * [simplify]: Extracting #4: cost 153 inf + 0 582.309 * * [simplify]: Extracting #5: cost 222 inf + 245 582.310 * * [simplify]: Extracting #6: cost 260 inf + 4201 582.313 * * [simplify]: Extracting #7: cost 196 inf + 15905 582.318 * * [simplify]: Extracting #8: cost 150 inf + 28964 582.326 * * [simplify]: Extracting #9: cost 97 inf + 53289 582.339 * * [simplify]: Extracting #10: cost 39 inf + 82326 582.363 * * [simplify]: Extracting #11: cost 3 inf + 121506 582.387 * * [simplify]: Extracting #12: cost 0 inf + 126901 582.412 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 582.412 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 582.413 * * * * [progress]: [ 2012 / 5906 ] simplifiying candidate # 582.413 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 582.414 * * [simplify]: iters left: 6 (53 enodes) 582.427 * * [simplify]: iters left: 5 (264 enodes) 582.487 * * [simplify]: Extracting #0: cost 1 inf + 0 582.487 * * [simplify]: Extracting #1: cost 3 inf + 0 582.487 * * [simplify]: Extracting #2: cost 6 inf + 0 582.487 * * [simplify]: Extracting #3: cost 62 inf + 0 582.487 * * [simplify]: Extracting #4: cost 151 inf + 0 582.487 * * [simplify]: Extracting #5: cost 220 inf + 44 582.489 * * [simplify]: Extracting #6: cost 245 inf + 5703 582.492 * * [simplify]: Extracting #7: cost 193 inf + 15836 582.498 * * [simplify]: Extracting #8: cost 117 inf + 41284 582.509 * * [simplify]: Extracting #9: cost 51 inf + 71340 582.531 * * [simplify]: Extracting #10: cost 8 inf + 114573 582.555 * * [simplify]: Extracting #11: cost 0 inf + 124413 582.578 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 582.578 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 582.579 * * * * [progress]: [ 2013 / 5906 ] simplifiying candidate # 582.579 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 582.579 * * [simplify]: iters left: 6 (47 enodes) 582.591 * * [simplify]: iters left: 5 (228 enodes) 582.641 * * [simplify]: Extracting #0: cost 1 inf + 0 582.641 * * [simplify]: Extracting #1: cost 3 inf + 0 582.641 * * [simplify]: Extracting #2: cost 6 inf + 0 582.641 * * [simplify]: Extracting #3: cost 54 inf + 0 582.641 * * [simplify]: Extracting #4: cost 119 inf + 0 582.642 * * [simplify]: Extracting #5: cost 168 inf + 44 582.642 * * [simplify]: Extracting #6: cost 222 inf + 1801 582.644 * * [simplify]: Extracting #7: cost 179 inf + 8425 582.648 * * [simplify]: Extracting #8: cost 141 inf + 19116 582.654 * * [simplify]: Extracting #9: cost 90 inf + 41458 582.663 * * [simplify]: Extracting #10: cost 48 inf + 55578 582.675 * * [simplify]: Extracting #11: cost 26 inf + 70822 582.695 * * [simplify]: Extracting #12: cost 3 inf + 96717 582.716 * * [simplify]: Extracting #13: cost 1 inf + 100567 582.736 * * [simplify]: Extracting #14: cost 0 inf + 102512 582.756 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 582.756 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 582.757 * * * * [progress]: [ 2014 / 5906 ] simplifiying candidate # 582.757 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 582.757 * * [simplify]: iters left: 6 (52 enodes) 582.770 * * [simplify]: iters left: 5 (256 enodes) 582.827 * * [simplify]: Extracting #0: cost 1 inf + 0 582.827 * * [simplify]: Extracting #1: cost 3 inf + 0 582.827 * * [simplify]: Extracting #2: cost 10 inf + 0 582.827 * * [simplify]: Extracting #3: cost 74 inf + 0 582.827 * * [simplify]: Extracting #4: cost 137 inf + 1 582.828 * * [simplify]: Extracting #5: cost 190 inf + 207 582.829 * * [simplify]: Extracting #6: cost 229 inf + 4521 582.831 * * [simplify]: Extracting #7: cost 189 inf + 12339 582.836 * * [simplify]: Extracting #8: cost 113 inf + 36768 582.847 * * [simplify]: Extracting #9: cost 50 inf + 64574 582.867 * * [simplify]: Extracting #10: cost 8 inf + 104643 582.889 * * [simplify]: Extracting #11: cost 1 inf + 112418 582.912 * * [simplify]: Extracting #12: cost 0 inf + 114443 582.934 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 582.935 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 582.935 * * * * [progress]: [ 2015 / 5906 ] simplifiying candidate # 582.935 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 582.936 * * [simplify]: iters left: 6 (47 enodes) 582.948 * * [simplify]: iters left: 5 (228 enodes) 582.998 * * [simplify]: Extracting #0: cost 1 inf + 0 582.998 * * [simplify]: Extracting #1: cost 3 inf + 0 582.998 * * [simplify]: Extracting #2: cost 10 inf + 0 582.999 * * [simplify]: Extracting #3: cost 66 inf + 0 582.999 * * [simplify]: Extracting #4: cost 117 inf + 44 582.999 * * [simplify]: Extracting #5: cost 152 inf + 1268 583.000 * * [simplify]: Extracting #6: cost 211 inf + 3017 583.002 * * [simplify]: Extracting #7: cost 184 inf + 8095 583.006 * * [simplify]: Extracting #8: cost 117 inf + 26471 583.017 * * [simplify]: Extracting #9: cost 41 inf + 62463 583.035 * * [simplify]: Extracting #10: cost 7 inf + 87975 583.053 * * [simplify]: Extracting #11: cost 1 inf + 93257 583.072 * * [simplify]: Extracting #12: cost 0 inf + 94962 583.091 * * [simplify]: Extracting #13: cost 0 inf + 94882 583.109 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) 583.109 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 583.110 * * * * [progress]: [ 2016 / 5906 ] simplifiying candidate # 583.110 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 583.110 * * [simplify]: iters left: 6 (52 enodes) 583.125 * * [simplify]: iters left: 5 (256 enodes) 583.180 * * [simplify]: Extracting #0: cost 1 inf + 0 583.180 * * [simplify]: Extracting #1: cost 3 inf + 0 583.180 * * [simplify]: Extracting #2: cost 10 inf + 0 583.180 * * [simplify]: Extracting #3: cost 74 inf + 0 583.180 * * [simplify]: Extracting #4: cost 137 inf + 1 583.181 * * [simplify]: Extracting #5: cost 190 inf + 207 583.182 * * [simplify]: Extracting #6: cost 235 inf + 3351 583.184 * * [simplify]: Extracting #7: cost 192 inf + 11373 583.189 * * [simplify]: Extracting #8: cost 114 inf + 36704 583.202 * * [simplify]: Extracting #9: cost 51 inf + 64709 583.220 * * [simplify]: Extracting #10: cost 6 inf + 108533 583.242 * * [simplify]: Extracting #11: cost 0 inf + 115403 583.265 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 583.265 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 583.266 * * * * [progress]: [ 2017 / 5906 ] simplifiying candidate # 583.266 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 583.266 * * [simplify]: iters left: 6 (47 enodes) 583.278 * * [simplify]: iters left: 5 (228 enodes) 583.329 * * [simplify]: Extracting #0: cost 1 inf + 0 583.329 * * [simplify]: Extracting #1: cost 3 inf + 0 583.329 * * [simplify]: Extracting #2: cost 10 inf + 0 583.329 * * [simplify]: Extracting #3: cost 65 inf + 0 583.330 * * [simplify]: Extracting #4: cost 116 inf + 86 583.330 * * [simplify]: Extracting #5: cost 150 inf + 1552 583.331 * * [simplify]: Extracting #6: cost 211 inf + 3017 583.333 * * [simplify]: Extracting #7: cost 182 inf + 8458 583.337 * * [simplify]: Extracting #8: cost 135 inf + 22495 583.343 * * [simplify]: Extracting #9: cost 91 inf + 41398 583.354 * * [simplify]: Extracting #10: cost 30 inf + 65387 583.371 * * [simplify]: Extracting #11: cost 4 inf + 88542 583.389 * * [simplify]: Extracting #12: cost 1 inf + 93097 583.408 * * [simplify]: Extracting #13: cost 0 inf + 94882 583.427 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 583.427 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 583.427 * * * * [progress]: [ 2018 / 5906 ] simplifiying candidate # 583.427 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 583.428 * * [simplify]: iters left: 6 (41 enodes) 583.438 * * [simplify]: iters left: 5 (190 enodes) 583.479 * * [simplify]: Extracting #0: cost 1 inf + 0 583.479 * * [simplify]: Extracting #1: cost 3 inf + 0 583.479 * * [simplify]: Extracting #2: cost 6 inf + 0 583.479 * * [simplify]: Extracting #3: cost 48 inf + 0 583.479 * * [simplify]: Extracting #4: cost 112 inf + 0 583.480 * * [simplify]: Extracting #5: cost 170 inf + 0 583.480 * * [simplify]: Extracting #6: cost 217 inf + 89 583.481 * * [simplify]: Extracting #7: cost 178 inf + 6517 583.485 * * [simplify]: Extracting #8: cost 81 inf + 31077 583.493 * * [simplify]: Extracting #9: cost 39 inf + 46946 583.501 * * [simplify]: Extracting #10: cost 34 inf + 49930 583.516 * * [simplify]: Extracting #11: cost 3 inf + 81585 583.533 * * [simplify]: Extracting #12: cost 0 inf + 85260 583.552 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 583.552 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 583.553 * * * * [progress]: [ 2019 / 5906 ] simplifiying candidate # 583.553 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 583.553 * * [simplify]: iters left: 6 (42 enodes) 583.564 * * [simplify]: iters left: 5 (199 enodes) 583.605 * * [simplify]: Extracting #0: cost 1 inf + 0 583.605 * * [simplify]: Extracting #1: cost 3 inf + 0 583.605 * * [simplify]: Extracting #2: cost 6 inf + 0 583.605 * * [simplify]: Extracting #3: cost 52 inf + 0 583.605 * * [simplify]: Extracting #4: cost 135 inf + 0 583.606 * * [simplify]: Extracting #5: cost 182 inf + 208 583.607 * * [simplify]: Extracting #6: cost 217 inf + 1237 583.608 * * [simplify]: Extracting #7: cost 150 inf + 10671 583.613 * * [simplify]: Extracting #8: cost 78 inf + 33806 583.625 * * [simplify]: Extracting #9: cost 27 inf + 56583 583.639 * * [simplify]: Extracting #10: cost 6 inf + 74927 583.654 * * [simplify]: Extracting #11: cost 0 inf + 80677 583.670 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 583.670 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 583.671 * * * * [progress]: [ 2020 / 5906 ] simplifiying candidate # 583.671 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 583.671 * * [simplify]: iters left: 6 (42 enodes) 583.682 * * [simplify]: iters left: 5 (199 enodes) 583.726 * * [simplify]: Extracting #0: cost 1 inf + 0 583.726 * * [simplify]: Extracting #1: cost 3 inf + 0 583.726 * * [simplify]: Extracting #2: cost 6 inf + 0 583.727 * * [simplify]: Extracting #3: cost 54 inf + 0 583.727 * * [simplify]: Extracting #4: cost 133 inf + 0 583.727 * * [simplify]: Extracting #5: cost 177 inf + 330 583.728 * * [simplify]: Extracting #6: cost 213 inf + 1407 583.729 * * [simplify]: Extracting #7: cost 159 inf + 8625 583.734 * * [simplify]: Extracting #8: cost 78 inf + 32116 583.743 * * [simplify]: Extracting #9: cost 34 inf + 50160 583.756 * * [simplify]: Extracting #10: cost 7 inf + 74014 583.771 * * [simplify]: Extracting #11: cost 0 inf + 79869 583.787 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 583.787 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 583.788 * * * * [progress]: [ 2021 / 5906 ] simplifiying candidate # 583.788 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 583.788 * * [simplify]: iters left: 6 (35 enodes) 583.799 * * [simplify]: iters left: 5 (159 enodes) 583.831 * * [simplify]: iters left: 4 (418 enodes) 583.975 * * [simplify]: Extracting #0: cost 1 inf + 0 583.976 * * [simplify]: Extracting #1: cost 3 inf + 0 583.976 * * [simplify]: Extracting #2: cost 16 inf + 0 583.976 * * [simplify]: Extracting #3: cost 150 inf + 0 583.977 * * [simplify]: Extracting #4: cost 337 inf + 44 583.978 * * [simplify]: Extracting #5: cost 383 inf + 4314 583.983 * * [simplify]: Extracting #6: cost 390 inf + 24757 583.997 * * [simplify]: Extracting #7: cost 323 inf + 60548 584.013 * * [simplify]: Extracting #8: cost 278 inf + 73909 584.033 * * [simplify]: Extracting #9: cost 192 inf + 103937 584.069 * * [simplify]: Extracting #10: cost 43 inf + 171656 584.119 * * [simplify]: Extracting #11: cost 1 inf + 204946 584.169 * * [simplify]: Extracting #12: cost 0 inf + 205291 584.222 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 584.222 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 584.222 * * * * [progress]: [ 2022 / 5906 ] simplifiying candidate # 584.223 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 584.223 * * [simplify]: iters left: 6 (41 enodes) 584.234 * * [simplify]: iters left: 5 (192 enodes) 584.274 * * [simplify]: iters left: 4 (480 enodes) 584.431 * * [simplify]: Extracting #0: cost 1 inf + 0 584.431 * * [simplify]: Extracting #1: cost 3 inf + 0 584.431 * * [simplify]: Extracting #2: cost 18 inf + 0 584.431 * * [simplify]: Extracting #3: cost 160 inf + 0 584.432 * * [simplify]: Extracting #4: cost 338 inf + 654 584.434 * * [simplify]: Extracting #5: cost 439 inf + 4509 584.437 * * [simplify]: Extracting #6: cost 528 inf + 9735 584.444 * * [simplify]: Extracting #7: cost 469 inf + 41045 584.469 * * [simplify]: Extracting #8: cost 226 inf + 132118 584.512 * * [simplify]: Extracting #9: cost 48 inf + 224026 584.573 * * [simplify]: Extracting #10: cost 1 inf + 264201 584.634 * * [simplify]: Extracting #11: cost 0 inf + 264906 584.696 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 584.696 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 584.696 * * * * [progress]: [ 2023 / 5906 ] simplifiying candidate # 584.697 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 584.697 * * [simplify]: iters left: 6 (35 enodes) 584.705 * * [simplify]: iters left: 5 (159 enodes) 584.736 * * [simplify]: iters left: 4 (399 enodes) 584.868 * * [simplify]: Extracting #0: cost 1 inf + 0 584.868 * * [simplify]: Extracting #1: cost 3 inf + 0 584.868 * * [simplify]: Extracting #2: cost 13 inf + 0 584.868 * * [simplify]: Extracting #3: cost 112 inf + 0 584.869 * * [simplify]: Extracting #4: cost 245 inf + 44 584.870 * * [simplify]: Extracting #5: cost 337 inf + 2573 584.873 * * [simplify]: Extracting #6: cost 387 inf + 9037 584.878 * * [simplify]: Extracting #7: cost 365 inf + 23627 584.893 * * [simplify]: Extracting #8: cost 188 inf + 81737 584.924 * * [simplify]: Extracting #9: cost 24 inf + 150592 584.963 * * [simplify]: Extracting #10: cost 3 inf + 169437 585.002 * * [simplify]: Extracting #11: cost 0 inf + 172392 585.042 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) 585.042 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 585.043 * * * * [progress]: [ 2024 / 5906 ] simplifiying candidate # 585.043 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 585.043 * * [simplify]: iters left: 6 (41 enodes) 585.053 * * [simplify]: iters left: 5 (192 enodes) 585.092 * * [simplify]: iters left: 4 (480 enodes) 585.254 * * [simplify]: Extracting #0: cost 1 inf + 0 585.254 * * [simplify]: Extracting #1: cost 3 inf + 0 585.254 * * [simplify]: Extracting #2: cost 18 inf + 0 585.254 * * [simplify]: Extracting #3: cost 144 inf + 0 585.255 * * [simplify]: Extracting #4: cost 303 inf + 290 585.256 * * [simplify]: Extracting #5: cost 454 inf + 1591 585.259 * * [simplify]: Extracting #6: cost 531 inf + 9349 585.265 * * [simplify]: Extracting #7: cost 493 inf + 31996 585.281 * * [simplify]: Extracting #8: cost 335 inf + 90445 585.308 * * [simplify]: Extracting #9: cost 208 inf + 138769 585.351 * * [simplify]: Extracting #10: cost 51 inf + 220146 585.412 * * [simplify]: Extracting #11: cost 1 inf + 263316 585.475 * * [simplify]: Extracting #12: cost 0 inf + 263541 585.538 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 585.538 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 585.538 * * * * [progress]: [ 2025 / 5906 ] simplifiying candidate # 585.538 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 585.539 * * [simplify]: iters left: 6 (35 enodes) 585.547 * * [simplify]: iters left: 5 (159 enodes) 585.577 * * [simplify]: iters left: 4 (399 enodes) 585.706 * * [simplify]: Extracting #0: cost 1 inf + 0 585.706 * * [simplify]: Extracting #1: cost 3 inf + 0 585.706 * * [simplify]: Extracting #2: cost 13 inf + 0 585.706 * * [simplify]: Extracting #3: cost 109 inf + 0 585.707 * * [simplify]: Extracting #4: cost 253 inf + 44 585.708 * * [simplify]: Extracting #5: cost 352 inf + 1475 585.714 * * [simplify]: Extracting #6: cost 399 inf + 8229 585.720 * * [simplify]: Extracting #7: cost 346 inf + 34106 585.738 * * [simplify]: Extracting #8: cost 160 inf + 96972 585.771 * * [simplify]: Extracting #9: cost 25 inf + 153027 585.810 * * [simplify]: Extracting #10: cost 3 inf + 171335 585.850 * * [simplify]: Extracting #11: cost 0 inf + 174330 585.890 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 585.890 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 585.891 * * * * [progress]: [ 2026 / 5906 ] simplifiying candidate # 585.891 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 585.891 * * [simplify]: iters left: 6 (51 enodes) 585.904 * * [simplify]: iters left: 5 (245 enodes) 585.956 * * [simplify]: Extracting #0: cost 1 inf + 0 585.956 * * [simplify]: Extracting #1: cost 3 inf + 0 585.956 * * [simplify]: Extracting #2: cost 6 inf + 0 585.957 * * [simplify]: Extracting #3: cost 56 inf + 0 585.957 * * [simplify]: Extracting #4: cost 130 inf + 0 585.957 * * [simplify]: Extracting #5: cost 200 inf + 0 585.958 * * [simplify]: Extracting #6: cost 254 inf + 1348 585.962 * * [simplify]: Extracting #7: cost 197 inf + 10629 585.966 * * [simplify]: Extracting #8: cost 148 inf + 24627 585.973 * * [simplify]: Extracting #9: cost 92 inf + 47167 585.982 * * [simplify]: Extracting #10: cost 56 inf + 59215 585.992 * * [simplify]: Extracting #11: cost 46 inf + 65145 586.009 * * [simplify]: Extracting #12: cost 9 inf + 104190 586.031 * * [simplify]: Extracting #13: cost 1 inf + 114350 586.054 * * [simplify]: Extracting #14: cost 0 inf + 116335 586.077 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 586.077 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 586.078 * * * * [progress]: [ 2027 / 5906 ] simplifiying candidate # 586.078 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 586.078 * * [simplify]: iters left: 6 (52 enodes) 586.092 * * [simplify]: iters left: 5 (254 enodes) 586.148 * * [simplify]: Extracting #0: cost 1 inf + 0 586.148 * * [simplify]: Extracting #1: cost 3 inf + 0 586.148 * * [simplify]: Extracting #2: cost 6 inf + 0 586.148 * * [simplify]: Extracting #3: cost 60 inf + 0 586.149 * * [simplify]: Extracting #4: cost 153 inf + 0 586.149 * * [simplify]: Extracting #5: cost 214 inf + 44 586.150 * * [simplify]: Extracting #6: cost 235 inf + 5372 586.153 * * [simplify]: Extracting #7: cost 171 inf + 17800 586.159 * * [simplify]: Extracting #8: cost 122 inf + 36394 586.169 * * [simplify]: Extracting #9: cost 57 inf + 63687 586.181 * * [simplify]: Extracting #10: cost 37 inf + 77067 586.198 * * [simplify]: Extracting #11: cost 11 inf + 105757 586.223 * * [simplify]: Extracting #12: cost 1 inf + 119727 586.246 * * [simplify]: Extracting #13: cost 0 inf + 121832 586.269 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) 586.269 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 586.269 * * * * [progress]: [ 2028 / 5906 ] simplifiying candidate # 586.269 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 586.270 * * [simplify]: iters left: 6 (52 enodes) 586.283 * * [simplify]: iters left: 5 (254 enodes) 586.339 * * [simplify]: Extracting #0: cost 1 inf + 0 586.339 * * [simplify]: Extracting #1: cost 3 inf + 0 586.339 * * [simplify]: Extracting #2: cost 6 inf + 0 586.339 * * [simplify]: Extracting #3: cost 62 inf + 0 586.339 * * [simplify]: Extracting #4: cost 151 inf + 0 586.340 * * [simplify]: Extracting #5: cost 210 inf + 44 586.341 * * [simplify]: Extracting #6: cost 228 inf + 4616 586.343 * * [simplify]: Extracting #7: cost 178 inf + 14846 586.349 * * [simplify]: Extracting #8: cost 140 inf + 30631 586.356 * * [simplify]: Extracting #9: cost 98 inf + 48069 586.368 * * [simplify]: Extracting #10: cost 38 inf + 76274 586.389 * * [simplify]: Extracting #11: cost 8 inf + 105744 586.411 * * [simplify]: Extracting #12: cost 1 inf + 115359 586.432 * * [simplify]: Extracting #13: cost 0 inf + 117424 586.454 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) 586.454 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 586.455 * * * * [progress]: [ 2029 / 5906 ] simplifiying candidate # 586.455 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 586.455 * * [simplify]: iters left: 6 (46 enodes) 586.467 * * [simplify]: iters left: 5 (218 enodes) 586.512 * * [simplify]: Extracting #0: cost 1 inf + 0 586.513 * * [simplify]: Extracting #1: cost 3 inf + 0 586.513 * * [simplify]: Extracting #2: cost 6 inf + 0 586.513 * * [simplify]: Extracting #3: cost 54 inf + 0 586.513 * * [simplify]: Extracting #4: cost 119 inf + 0 586.513 * * [simplify]: Extracting #5: cost 157 inf + 85 586.514 * * [simplify]: Extracting #6: cost 190 inf + 3583 586.516 * * [simplify]: Extracting #7: cost 163 inf + 8696 586.520 * * [simplify]: Extracting #8: cost 100 inf + 30320 586.529 * * [simplify]: Extracting #9: cost 51 inf + 51327 586.542 * * [simplify]: Extracting #10: cost 8 inf + 85336 586.562 * * [simplify]: Extracting #11: cost 0 inf + 94003 586.579 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 586.580 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 586.580 * * * * [progress]: [ 2030 / 5906 ] simplifiying candidate # 586.580 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 586.581 * * [simplify]: iters left: 6 (51 enodes) 586.594 * * [simplify]: iters left: 5 (246 enodes) 586.647 * * [simplify]: Extracting #0: cost 1 inf + 0 586.648 * * [simplify]: Extracting #1: cost 3 inf + 0 586.648 * * [simplify]: Extracting #2: cost 10 inf + 0 586.648 * * [simplify]: Extracting #3: cost 74 inf + 0 586.648 * * [simplify]: Extracting #4: cost 137 inf + 1 586.648 * * [simplify]: Extracting #5: cost 179 inf + 249 586.649 * * [simplify]: Extracting #6: cost 209 inf + 4398 586.652 * * [simplify]: Extracting #7: cost 161 inf + 19529 586.657 * * [simplify]: Extracting #8: cost 126 inf + 33024 586.664 * * [simplify]: Extracting #9: cost 94 inf + 43274 586.673 * * [simplify]: Extracting #10: cost 51 inf + 59699 586.689 * * [simplify]: Extracting #11: cost 10 inf + 96004 586.710 * * [simplify]: Extracting #12: cost 1 inf + 107429 586.733 * * [simplify]: Extracting #13: cost 0 inf + 109414 586.753 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) 586.753 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 586.754 * * * * [progress]: [ 2031 / 5906 ] simplifiying candidate # 586.754 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 586.754 * * [simplify]: iters left: 6 (46 enodes) 586.766 * * [simplify]: iters left: 5 (218 enodes) 586.812 * * [simplify]: Extracting #0: cost 1 inf + 0 586.812 * * [simplify]: Extracting #1: cost 3 inf + 0 586.812 * * [simplify]: Extracting #2: cost 10 inf + 0 586.812 * * [simplify]: Extracting #3: cost 66 inf + 0 586.812 * * [simplify]: Extracting #4: cost 117 inf + 44 586.813 * * [simplify]: Extracting #5: cost 146 inf + 740 586.814 * * [simplify]: Extracting #6: cost 189 inf + 3018 586.815 * * [simplify]: Extracting #7: cost 166 inf + 7401 586.820 * * [simplify]: Extracting #8: cost 97 inf + 30973 586.828 * * [simplify]: Extracting #9: cost 45 inf + 53314 586.841 * * [simplify]: Extracting #10: cost 7 inf + 81078 586.858 * * [simplify]: Extracting #11: cost 1 inf + 87788 586.875 * * [simplify]: Extracting #12: cost 0 inf + 89533 586.893 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) 586.894 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 586.894 * * * * [progress]: [ 2032 / 5906 ] simplifiying candidate # 586.894 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 586.895 * * [simplify]: iters left: 6 (51 enodes) 586.908 * * [simplify]: iters left: 5 (246 enodes) 586.959 * * [simplify]: Extracting #0: cost 1 inf + 0 586.959 * * [simplify]: Extracting #1: cost 3 inf + 0 586.959 * * [simplify]: Extracting #2: cost 10 inf + 0 586.960 * * [simplify]: Extracting #3: cost 74 inf + 0 586.960 * * [simplify]: Extracting #4: cost 137 inf + 1 586.960 * * [simplify]: Extracting #5: cost 180 inf + 207 586.961 * * [simplify]: Extracting #6: cost 213 inf + 4032 586.966 * * [simplify]: Extracting #7: cost 163 inf + 19103 586.971 * * [simplify]: Extracting #8: cost 126 inf + 33984 586.978 * * [simplify]: Extracting #9: cost 94 inf + 44234 586.987 * * [simplify]: Extracting #10: cost 51 inf + 60659 587.005 * * [simplify]: Extracting #11: cost 10 inf + 96964 587.025 * * [simplify]: Extracting #12: cost 1 inf + 108389 587.046 * * [simplify]: Extracting #13: cost 0 inf + 110374 587.068 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))))) 587.068 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 587.068 * * * * [progress]: [ 2033 / 5906 ] simplifiying candidate # 587.069 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 587.069 * * [simplify]: iters left: 6 (46 enodes) 587.080 * * [simplify]: iters left: 5 (218 enodes) 587.125 * * [simplify]: Extracting #0: cost 1 inf + 0 587.125 * * [simplify]: Extracting #1: cost 3 inf + 0 587.125 * * [simplify]: Extracting #2: cost 10 inf + 0 587.125 * * [simplify]: Extracting #3: cost 65 inf + 0 587.125 * * [simplify]: Extracting #4: cost 117 inf + 44 587.126 * * [simplify]: Extracting #5: cost 146 inf + 660 587.127 * * [simplify]: Extracting #6: cost 188 inf + 3140 587.128 * * [simplify]: Extracting #7: cost 166 inf + 7482 587.134 * * [simplify]: Extracting #8: cost 103 inf + 28664 587.143 * * [simplify]: Extracting #9: cost 48 inf + 52199 587.156 * * [simplify]: Extracting #10: cost 8 inf + 81015 587.172 * * [simplify]: Extracting #11: cost 1 inf + 88188 587.189 * * [simplify]: Extracting #12: cost 0 inf + 89933 587.206 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) 587.206 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 587.207 * * * * [progress]: [ 2034 / 5906 ] simplifiying candidate # 587.207 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 587.207 * * [simplify]: iters left: 6 (43 enodes) 587.218 * * [simplify]: iters left: 5 (201 enodes) 587.260 * * [simplify]: Extracting #0: cost 1 inf + 0 587.261 * * [simplify]: Extracting #1: cost 3 inf + 0 587.261 * * [simplify]: Extracting #2: cost 6 inf + 0 587.261 * * [simplify]: Extracting #3: cost 54 inf + 0 587.261 * * [simplify]: Extracting #4: cost 122 inf + 0 587.261 * * [simplify]: Extracting #5: cost 179 inf + 0 587.262 * * [simplify]: Extracting #6: cost 229 inf + 341 587.263 * * [simplify]: Extracting #7: cost 191 inf + 5101 587.266 * * [simplify]: Extracting #8: cost 126 inf + 22306 587.271 * * [simplify]: Extracting #9: cost 77 inf + 38674 587.282 * * [simplify]: Extracting #10: cost 23 inf + 67629 587.300 * * [simplify]: Extracting #11: cost 0 inf + 87524 587.320 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 587.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 587.321 * * * * [progress]: [ 2035 / 5906 ] simplifiying candidate # 587.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 587.321 * * [simplify]: iters left: 6 (44 enodes) 587.333 * * [simplify]: iters left: 5 (210 enodes) 587.377 * * [simplify]: Extracting #0: cost 1 inf + 0 587.377 * * [simplify]: Extracting #1: cost 3 inf + 0 587.377 * * [simplify]: Extracting #2: cost 6 inf + 0 587.377 * * [simplify]: Extracting #3: cost 58 inf + 0 587.377 * * [simplify]: Extracting #4: cost 145 inf + 0 587.378 * * [simplify]: Extracting #5: cost 187 inf + 453 587.379 * * [simplify]: Extracting #6: cost 207 inf + 4638 587.383 * * [simplify]: Extracting #7: cost 153 inf + 14129 587.387 * * [simplify]: Extracting #8: cost 107 inf + 29342 587.394 * * [simplify]: Extracting #9: cost 74 inf + 42018 587.405 * * [simplify]: Extracting #10: cost 26 inf + 64691 587.420 * * [simplify]: Extracting #11: cost 2 inf + 85451 587.438 * * [simplify]: Extracting #12: cost 0 inf + 88541 587.456 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) 587.456 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 587.456 * * * * [progress]: [ 2036 / 5906 ] simplifiying candidate # 587.457 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 587.457 * * [simplify]: iters left: 6 (44 enodes) 587.469 * * [simplify]: iters left: 5 (210 enodes) 587.519 * * [simplify]: Extracting #0: cost 1 inf + 0 587.519 * * [simplify]: Extracting #1: cost 3 inf + 0 587.519 * * [simplify]: Extracting #2: cost 6 inf + 0 587.519 * * [simplify]: Extracting #3: cost 60 inf + 0 587.519 * * [simplify]: Extracting #4: cost 143 inf + 0 587.520 * * [simplify]: Extracting #5: cost 188 inf + 85 587.520 * * [simplify]: Extracting #6: cost 225 inf + 1359 587.522 * * [simplify]: Extracting #7: cost 170 inf + 10002 587.526 * * [simplify]: Extracting #8: cost 106 inf + 26078 587.535 * * [simplify]: Extracting #9: cost 35 inf + 57706 587.553 * * [simplify]: Extracting #10: cost 0 inf + 86213 587.569 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) 587.570 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 587.570 * * * * [progress]: [ 2037 / 5906 ] simplifiying candidate # 587.570 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 587.571 * * [simplify]: iters left: 6 (37 enodes) 587.580 * * [simplify]: iters left: 5 (169 enodes) 587.613 * * [simplify]: iters left: 4 (455 enodes) 587.775 * * [simplify]: Extracting #0: cost 1 inf + 0 587.775 * * [simplify]: Extracting #1: cost 3 inf + 0 587.775 * * [simplify]: Extracting #2: cost 16 inf + 0 587.775 * * [simplify]: Extracting #3: cost 173 inf + 0 587.776 * * [simplify]: Extracting #4: cost 367 inf + 167 587.778 * * [simplify]: Extracting #5: cost 430 inf + 2773 587.781 * * [simplify]: Extracting #6: cost 467 inf + 11056 587.787 * * [simplify]: Extracting #7: cost 449 inf + 27419 587.806 * * [simplify]: Extracting #8: cost 225 inf + 108293 587.856 * * [simplify]: Extracting #9: cost 27 inf + 206291 587.914 * * [simplify]: Extracting #10: cost 1 inf + 227101 587.974 * * [simplify]: Extracting #11: cost 0 inf + 227846 588.033 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (+ phi1 phi2)))))) 588.033 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 588.034 * * * * [progress]: [ 2038 / 5906 ] simplifiying candidate # 588.034 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 588.034 * * [simplify]: iters left: 6 (43 enodes) 588.046 * * [simplify]: iters left: 5 (202 enodes) 588.086 * * [simplify]: Extracting #0: cost 1 inf + 0 588.086 * * [simplify]: Extracting #1: cost 3 inf + 0 588.086 * * [simplify]: Extracting #2: cost 10 inf + 0 588.086 * * [simplify]: Extracting #3: cost 72 inf + 0 588.086 * * [simplify]: Extracting #4: cost 128 inf + 42 588.087 * * [simplify]: Extracting #5: cost 155 inf + 453 588.088 * * [simplify]: Extracting #6: cost 187 inf + 3295 588.090 * * [simplify]: Extracting #7: cost 132 inf + 17743 588.095 * * [simplify]: Extracting #8: cost 79 inf + 33921 588.106 * * [simplify]: Extracting #9: cost 32 inf + 53643 588.120 * * [simplify]: Extracting #10: cost 3 inf + 76888 588.136 * * [simplify]: Extracting #11: cost 0 inf + 81163 588.154 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 588.154 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 588.155 * * * * [progress]: [ 2039 / 5906 ] simplifiying candidate # 588.155 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 588.155 * * [simplify]: iters left: 6 (37 enodes) 588.164 * * [simplify]: iters left: 5 (169 enodes) 588.199 * * [simplify]: iters left: 4 (442 enodes) 588.348 * * [simplify]: Extracting #0: cost 1 inf + 0 588.348 * * [simplify]: Extracting #1: cost 3 inf + 0 588.348 * * [simplify]: Extracting #2: cost 13 inf + 0 588.348 * * [simplify]: Extracting #3: cost 118 inf + 0 588.349 * * [simplify]: Extracting #4: cost 271 inf + 44 588.350 * * [simplify]: Extracting #5: cost 373 inf + 1635 588.353 * * [simplify]: Extracting #6: cost 401 inf + 12724 588.362 * * [simplify]: Extracting #7: cost 333 inf + 48445 588.384 * * [simplify]: Extracting #8: cost 185 inf + 96933 588.416 * * [simplify]: Extracting #9: cost 26 inf + 162763 588.459 * * [simplify]: Extracting #10: cost 0 inf + 185573 588.502 * * [simplify]: Extracting #11: cost 0 inf + 185053 588.545 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 588.545 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- phi1 phi2))) (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 588.545 * * * * [progress]: [ 2040 / 5906 ] simplifiying candidate # 588.545 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 588.546 * * [simplify]: iters left: 6 (43 enodes) 588.558 * * [simplify]: iters left: 5 (202 enodes) 588.598 * * [simplify]: Extracting #0: cost 1 inf + 0 588.598 * * [simplify]: Extracting #1: cost 3 inf + 0 588.598 * * [simplify]: Extracting #2: cost 10 inf + 0 588.598 * * [simplify]: Extracting #3: cost 72 inf + 0 588.599 * * [simplify]: Extracting #4: cost 128 inf + 42 588.599 * * [simplify]: Extracting #5: cost 156 inf + 372 588.600 * * [simplify]: Extracting #6: cost 193 inf + 2286 588.601 * * [simplify]: Extracting #7: cost 162 inf + 7133 588.605 * * [simplify]: Extracting #8: cost 88 inf + 30488 588.614 * * [simplify]: Extracting #9: cost 31 inf + 55548 588.630 * * [simplify]: Extracting #10: cost 3 inf + 77568 588.646 * * [simplify]: Extracting #11: cost 0 inf + 82123 588.663 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 588.663 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 588.663 * * * * [progress]: [ 2041 / 5906 ] simplifiying candidate # 588.663 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 588.664 * * [simplify]: iters left: 6 (37 enodes) 588.673 * * [simplify]: iters left: 5 (169 enodes) 588.705 * * [simplify]: iters left: 4 (442 enodes) 588.857 * * [simplify]: Extracting #0: cost 1 inf + 0 588.857 * * [simplify]: Extracting #1: cost 3 inf + 0 588.857 * * [simplify]: Extracting #2: cost 13 inf + 0 588.857 * * [simplify]: Extracting #3: cost 114 inf + 0 588.858 * * [simplify]: Extracting #4: cost 280 inf + 44 588.859 * * [simplify]: Extracting #5: cost 378 inf + 1838 588.862 * * [simplify]: Extracting #6: cost 404 inf + 12852 588.871 * * [simplify]: Extracting #7: cost 342 inf + 46352 588.891 * * [simplify]: Extracting #8: cost 174 inf + 105494 588.932 * * [simplify]: Extracting #9: cost 14 inf + 179106 588.975 * * [simplify]: Extracting #10: cost 0 inf + 186814 589.019 * * [simplify]: Extracting #11: cost 0 inf + 186294 589.062 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 589.062 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 589.062 * * * * [progress]: [ 2042 / 5906 ] simplifiying candidate # 589.063 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 589.063 * * [simplify]: iters left: 6 (51 enodes) 589.078 * * [simplify]: iters left: 5 (244 enodes) 589.130 * * [simplify]: Extracting #0: cost 1 inf + 0 589.130 * * [simplify]: Extracting #1: cost 3 inf + 0 589.130 * * [simplify]: Extracting #2: cost 6 inf + 0 589.130 * * [simplify]: Extracting #3: cost 56 inf + 0 589.130 * * [simplify]: Extracting #4: cost 130 inf + 0 589.131 * * [simplify]: Extracting #5: cost 201 inf + 0 589.131 * * [simplify]: Extracting #6: cost 255 inf + 1146 589.133 * * [simplify]: Extracting #7: cost 194 inf + 11284 589.137 * * [simplify]: Extracting #8: cost 127 inf + 30154 589.147 * * [simplify]: Extracting #9: cost 59 inf + 58521 589.160 * * [simplify]: Extracting #10: cost 38 inf + 72465 589.178 * * [simplify]: Extracting #11: cost 6 inf + 111625 589.200 * * [simplify]: Extracting #12: cost 0 inf + 120855 589.223 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 589.223 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 589.224 * * * * [progress]: [ 2043 / 5906 ] simplifiying candidate # 589.224 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 589.224 * * [simplify]: iters left: 6 (52 enodes) 589.237 * * [simplify]: iters left: 5 (253 enodes) 589.292 * * [simplify]: Extracting #0: cost 1 inf + 0 589.293 * * [simplify]: Extracting #1: cost 3 inf + 0 589.293 * * [simplify]: Extracting #2: cost 6 inf + 0 589.293 * * [simplify]: Extracting #3: cost 60 inf + 0 589.293 * * [simplify]: Extracting #4: cost 153 inf + 0 589.293 * * [simplify]: Extracting #5: cost 215 inf + 44 589.295 * * [simplify]: Extracting #6: cost 233 inf + 5535 589.298 * * [simplify]: Extracting #7: cost 178 inf + 16859 589.304 * * [simplify]: Extracting #8: cost 121 inf + 38283 589.315 * * [simplify]: Extracting #9: cost 56 inf + 64072 589.327 * * [simplify]: Extracting #10: cost 36 inf + 77892 589.345 * * [simplify]: Extracting #11: cost 11 inf + 105117 589.366 * * [simplify]: Extracting #12: cost 1 inf + 117407 589.388 * * [simplify]: Extracting #13: cost 0 inf + 119472 589.412 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) 589.412 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (- phi1 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 589.413 * * * * [progress]: [ 2044 / 5906 ] simplifiying candidate # 589.413 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 589.413 * * [simplify]: iters left: 6 (52 enodes) 589.427 * * [simplify]: iters left: 5 (253 enodes) 589.481 * * [simplify]: Extracting #0: cost 1 inf + 0 589.481 * * [simplify]: Extracting #1: cost 3 inf + 0 589.481 * * [simplify]: Extracting #2: cost 6 inf + 0 589.481 * * [simplify]: Extracting #3: cost 62 inf + 0 589.481 * * [simplify]: Extracting #4: cost 151 inf + 0 589.481 * * [simplify]: Extracting #5: cost 211 inf + 44 589.485 * * [simplify]: Extracting #6: cost 221 inf + 6030 589.489 * * [simplify]: Extracting #7: cost 162 inf + 24659 589.495 * * [simplify]: Extracting #8: cost 123 inf + 40230 589.503 * * [simplify]: Extracting #9: cost 87 inf + 52541 589.514 * * [simplify]: Extracting #10: cost 47 inf + 68289 589.530 * * [simplify]: Extracting #11: cost 13 inf + 100379 589.551 * * [simplify]: Extracting #12: cost 1 inf + 115119 589.574 * * [simplify]: Extracting #13: cost 0 inf + 117184 589.596 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) 589.596 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 589.596 * * * * [progress]: [ 2045 / 5906 ] simplifiying candidate # 589.597 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 589.597 * * [simplify]: iters left: 6 (46 enodes) 589.609 * * [simplify]: iters left: 5 (217 enodes) 589.655 * * [simplify]: Extracting #0: cost 1 inf + 0 589.655 * * [simplify]: Extracting #1: cost 3 inf + 0 589.655 * * [simplify]: Extracting #2: cost 6 inf + 0 589.655 * * [simplify]: Extracting #3: cost 54 inf + 0 589.656 * * [simplify]: Extracting #4: cost 119 inf + 0 589.656 * * [simplify]: Extracting #5: cost 158 inf + 85 589.657 * * [simplify]: Extracting #6: cost 191 inf + 3299 589.658 * * [simplify]: Extracting #7: cost 162 inf + 8376 589.662 * * [simplify]: Extracting #8: cost 133 inf + 19215 589.668 * * [simplify]: Extracting #9: cost 88 inf + 37288 589.676 * * [simplify]: Extracting #10: cost 44 inf + 52956 589.690 * * [simplify]: Extracting #11: cost 8 inf + 85323 589.708 * * [simplify]: Extracting #12: cost 0 inf + 94523 589.726 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) 589.727 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 589.727 * * * * [progress]: [ 2046 / 5906 ] simplifiying candidate # 589.727 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 589.728 * * [simplify]: iters left: 6 (51 enodes) 589.742 * * [simplify]: iters left: 5 (245 enodes) 589.793 * * [simplify]: Extracting #0: cost 1 inf + 0 589.793 * * [simplify]: Extracting #1: cost 3 inf + 0 589.793 * * [simplify]: Extracting #2: cost 10 inf + 0 589.794 * * [simplify]: Extracting #3: cost 74 inf + 0 589.794 * * [simplify]: Extracting #4: cost 137 inf + 1 589.794 * * [simplify]: Extracting #5: cost 180 inf + 249 589.795 * * [simplify]: Extracting #6: cost 207 inf + 4883 589.798 * * [simplify]: Extracting #7: cost 160 inf + 20292 589.804 * * [simplify]: Extracting #8: cost 104 inf + 40251 589.815 * * [simplify]: Extracting #9: cost 61 inf + 55409 589.825 * * [simplify]: Extracting #10: cost 40 inf + 66854 589.841 * * [simplify]: Extracting #11: cost 7 inf + 99159 589.861 * * [simplify]: Extracting #12: cost 1 inf + 107749 589.881 * * [simplify]: Extracting #13: cost 0 inf + 109734 589.902 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) 589.902 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 589.902 * * * * [progress]: [ 2047 / 5906 ] simplifiying candidate # 589.903 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 589.903 * * [simplify]: iters left: 6 (46 enodes) 589.916 * * [simplify]: iters left: 5 (217 enodes) 589.960 * * [simplify]: Extracting #0: cost 1 inf + 0 589.960 * * [simplify]: Extracting #1: cost 3 inf + 0 589.960 * * [simplify]: Extracting #2: cost 10 inf + 0 589.960 * * [simplify]: Extracting #3: cost 66 inf + 0 589.961 * * [simplify]: Extracting #4: cost 117 inf + 44 589.961 * * [simplify]: Extracting #5: cost 146 inf + 822 589.962 * * [simplify]: Extracting #6: cost 188 inf + 3180 589.963 * * [simplify]: Extracting #7: cost 166 inf + 7762 589.967 * * [simplify]: Extracting #8: cost 128 inf + 21913 589.973 * * [simplify]: Extracting #9: cost 84 inf + 37882 589.983 * * [simplify]: Extracting #10: cost 37 inf + 55008 589.995 * * [simplify]: Extracting #11: cost 9 inf + 78588 590.013 * * [simplify]: Extracting #12: cost 1 inf + 88268 590.030 * * [simplify]: Extracting #13: cost 0 inf + 89933 590.047 * * [simplify]: Extracting #14: cost 0 inf + 89853 590.064 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 590.064 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 590.065 * * * * [progress]: [ 2048 / 5906 ] simplifiying candidate # 590.065 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 590.065 * * [simplify]: iters left: 6 (51 enodes) 590.079 * * [simplify]: iters left: 5 (245 enodes) 590.131 * * [simplify]: Extracting #0: cost 1 inf + 0 590.131 * * [simplify]: Extracting #1: cost 3 inf + 0 590.131 * * [simplify]: Extracting #2: cost 10 inf + 0 590.131 * * [simplify]: Extracting #3: cost 74 inf + 0 590.131 * * [simplify]: Extracting #4: cost 137 inf + 1 590.132 * * [simplify]: Extracting #5: cost 181 inf + 207 590.133 * * [simplify]: Extracting #6: cost 208 inf + 4883 590.136 * * [simplify]: Extracting #7: cost 155 inf + 23270 590.142 * * [simplify]: Extracting #8: cost 105 inf + 41299 590.153 * * [simplify]: Extracting #9: cost 63 inf + 55039 590.163 * * [simplify]: Extracting #10: cost 41 inf + 67069 590.179 * * [simplify]: Extracting #11: cost 6 inf + 101184 590.199 * * [simplify]: Extracting #12: cost 0 inf + 110694 590.220 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) 590.220 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 590.221 * * * * [progress]: [ 2049 / 5906 ] simplifiying candidate # 590.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 590.221 * * [simplify]: iters left: 6 (46 enodes) 590.233 * * [simplify]: iters left: 5 (217 enodes) 590.278 * * [simplify]: Extracting #0: cost 1 inf + 0 590.278 * * [simplify]: Extracting #1: cost 3 inf + 0 590.278 * * [simplify]: Extracting #2: cost 10 inf + 0 590.278 * * [simplify]: Extracting #3: cost 65 inf + 0 590.279 * * [simplify]: Extracting #4: cost 117 inf + 44 590.279 * * [simplify]: Extracting #5: cost 144 inf + 1066 590.280 * * [simplify]: Extracting #6: cost 187 inf + 3342 590.282 * * [simplify]: Extracting #7: cost 165 inf + 7883 590.285 * * [simplify]: Extracting #8: cost 127 inf + 22554 590.291 * * [simplify]: Extracting #9: cost 82 inf + 38758 590.300 * * [simplify]: Extracting #10: cost 29 inf + 60928 590.314 * * [simplify]: Extracting #11: cost 4 inf + 83313 590.334 * * [simplify]: Extracting #12: cost 1 inf + 88468 590.351 * * [simplify]: Extracting #13: cost 0 inf + 90213 590.368 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 590.368 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 590.368 * * * * [progress]: [ 2050 / 5906 ] simplifiying candidate # 590.369 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 590.369 * * [simplify]: iters left: 6 (41 enodes) 590.379 * * [simplify]: iters left: 5 (193 enodes) 590.423 * * [simplify]: Extracting #0: cost 1 inf + 0 590.423 * * [simplify]: Extracting #1: cost 3 inf + 0 590.423 * * [simplify]: Extracting #2: cost 6 inf + 0 590.423 * * [simplify]: Extracting #3: cost 54 inf + 0 590.423 * * [simplify]: Extracting #4: cost 120 inf + 0 590.423 * * [simplify]: Extracting #5: cost 178 inf + 0 590.424 * * [simplify]: Extracting #6: cost 225 inf + 89 590.425 * * [simplify]: Extracting #7: cost 190 inf + 5950 590.428 * * [simplify]: Extracting #8: cost 96 inf + 28651 590.435 * * [simplify]: Extracting #9: cost 52 inf + 43821 590.443 * * [simplify]: Extracting #10: cost 44 inf + 47194 590.454 * * [simplify]: Extracting #11: cost 24 inf + 66134 590.470 * * [simplify]: Extracting #12: cost 1 inf + 88349 590.488 * * [simplify]: Extracting #13: cost 0 inf + 89374 590.508 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) 590.508 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)))))))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 590.509 * * * * [progress]: [ 2051 / 5906 ] simplifiying candidate # 590.509 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 590.509 * * [simplify]: iters left: 6 (42 enodes) 590.520 * * [simplify]: iters left: 5 (202 enodes) 590.562 * * [simplify]: Extracting #0: cost 1 inf + 0 590.562 * * [simplify]: Extracting #1: cost 3 inf + 0 590.562 * * [simplify]: Extracting #2: cost 6 inf + 0 590.562 * * [simplify]: Extracting #3: cost 58 inf + 0 590.562 * * [simplify]: Extracting #4: cost 143 inf + 0 590.563 * * [simplify]: Extracting #5: cost 191 inf + 86 590.563 * * [simplify]: Extracting #6: cost 222 inf + 1652 590.565 * * [simplify]: Extracting #7: cost 156 inf + 11548 590.569 * * [simplify]: Extracting #8: cost 103 inf + 28577 590.578 * * [simplify]: Extracting #9: cost 76 inf + 37480 590.586 * * [simplify]: Extracting #10: cost 40 inf + 51351 590.598 * * [simplify]: Extracting #11: cost 17 inf + 70766 590.614 * * [simplify]: Extracting #12: cost 0 inf + 85031 590.631 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) 590.631 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 590.631 * * * * [progress]: [ 2052 / 5906 ] simplifiying candidate # 590.632 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 590.632 * * [simplify]: iters left: 6 (42 enodes) 590.644 * * [simplify]: iters left: 5 (202 enodes) 590.687 * * [simplify]: Extracting #0: cost 1 inf + 0 590.687 * * [simplify]: Extracting #1: cost 3 inf + 0 590.687 * * [simplify]: Extracting #2: cost 6 inf + 0 590.687 * * [simplify]: Extracting #3: cost 60 inf + 0 590.688 * * [simplify]: Extracting #4: cost 141 inf + 0 590.688 * * [simplify]: Extracting #5: cost 186 inf + 127 590.689 * * [simplify]: Extracting #6: cost 209 inf + 3732 590.691 * * [simplify]: Extracting #7: cost 152 inf + 13156 590.696 * * [simplify]: Extracting #8: cost 79 inf + 34690 590.704 * * [simplify]: Extracting #9: cost 39 inf + 50968 590.715 * * [simplify]: Extracting #10: cost 18 inf + 67173 590.730 * * [simplify]: Extracting #11: cost 0 inf + 82463 590.747 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) 590.747 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 590.748 * * * * [progress]: [ 2053 / 5906 ] simplifiying candidate # 590.748 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 590.748 * * [simplify]: iters left: 6 (35 enodes) 590.757 * * [simplify]: iters left: 5 (161 enodes) 590.788 * * [simplify]: iters left: 4 (432 enodes) 590.937 * * [simplify]: Extracting #0: cost 1 inf + 0 590.937 * * [simplify]: Extracting #1: cost 3 inf + 0 590.937 * * [simplify]: Extracting #2: cost 16 inf + 0 590.937 * * [simplify]: Extracting #3: cost 162 inf + 0 590.938 * * [simplify]: Extracting #4: cost 350 inf + 208 590.940 * * [simplify]: Extracting #5: cost 382 inf + 6625 590.944 * * [simplify]: Extracting #6: cost 429 inf + 15674 590.953 * * [simplify]: Extracting #7: cost 357 inf + 49192 590.969 * * [simplify]: Extracting #8: cost 283 inf + 76029 590.987 * * [simplify]: Extracting #9: cost 233 inf + 91316 591.018 * * [simplify]: Extracting #10: cost 81 inf + 155850 591.064 * * [simplify]: Extracting #11: cost 9 inf + 203970 591.118 * * [simplify]: Extracting #12: cost 0 inf + 209155 591.174 * * [simplify]: Extracting #13: cost 0 inf + 208995 591.228 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) 591.228 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 591.228 * * * * [progress]: [ 2054 / 5906 ] simplifiying candidate # 591.229 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 591.229 * * [simplify]: iters left: 6 (41 enodes) 591.240 * * [simplify]: iters left: 5 (194 enodes) 591.279 * * [simplify]: Extracting #0: cost 1 inf + 0 591.279 * * [simplify]: Extracting #1: cost 3 inf + 0 591.279 * * [simplify]: Extracting #2: cost 10 inf + 0 591.279 * * [simplify]: Extracting #3: cost 72 inf + 0 591.280 * * [simplify]: Extracting #4: cost 127 inf + 1 591.280 * * [simplify]: Extracting #5: cost 155 inf + 453 591.281 * * [simplify]: Extracting #6: cost 190 inf + 1760 591.282 * * [simplify]: Extracting #7: cost 151 inf + 8763 591.288 * * [simplify]: Extracting #8: cost 79 inf + 30118 591.295 * * [simplify]: Extracting #9: cost 40 inf + 45893 591.307 * * [simplify]: Extracting #10: cost 12 inf + 69633 591.322 * * [simplify]: Extracting #11: cost 0 inf + 79093 591.338 * * [simplify]: Extracting #12: cost 0 inf + 79013 591.354 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 591.354 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 591.354 * * * * [progress]: [ 2055 / 5906 ] simplifiying candidate # 591.355 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 591.355 * * [simplify]: iters left: 6 (35 enodes) 591.363 * * [simplify]: iters left: 5 (161 enodes) 591.396 * * [simplify]: iters left: 4 (419 enodes) 591.537 * * [simplify]: Extracting #0: cost 1 inf + 0 591.537 * * [simplify]: Extracting #1: cost 3 inf + 0 591.537 * * [simplify]: Extracting #2: cost 13 inf + 0 591.537 * * [simplify]: Extracting #3: cost 109 inf + 0 591.538 * * [simplify]: Extracting #4: cost 260 inf + 44 591.539 * * [simplify]: Extracting #5: cost 352 inf + 2246 591.542 * * [simplify]: Extracting #6: cost 387 inf + 12040 591.551 * * [simplify]: Extracting #7: cost 307 inf + 48761 591.573 * * [simplify]: Extracting #8: cost 158 inf + 97710 591.600 * * [simplify]: Extracting #9: cost 46 inf + 137482 591.633 * * [simplify]: Extracting #10: cost 20 inf + 153932 591.673 * * [simplify]: Extracting #11: cost 1 inf + 172847 591.712 * * [simplify]: Extracting #12: cost 0 inf + 173392 591.752 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) 591.752 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 591.753 * * * * [progress]: [ 2056 / 5906 ] simplifiying candidate # 591.753 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 591.753 * * [simplify]: iters left: 6 (41 enodes) 591.763 * * [simplify]: iters left: 5 (194 enodes) 591.806 * * [simplify]: Extracting #0: cost 1 inf + 0 591.806 * * [simplify]: Extracting #1: cost 3 inf + 0 591.806 * * [simplify]: Extracting #2: cost 10 inf + 0 591.806 * * [simplify]: Extracting #3: cost 72 inf + 0 591.807 * * [simplify]: Extracting #4: cost 127 inf + 1 591.807 * * [simplify]: Extracting #5: cost 158 inf + 168 591.808 * * [simplify]: Extracting #6: cost 193 inf + 1353 591.809 * * [simplify]: Extracting #7: cost 149 inf + 8604 591.814 * * [simplify]: Extracting #8: cost 78 inf + 31063 591.823 * * [simplify]: Extracting #9: cost 40 inf + 46853 591.834 * * [simplify]: Extracting #10: cost 12 inf + 70593 591.850 * * [simplify]: Extracting #11: cost 0 inf + 80053 591.866 * * [simplify]: Extracting #12: cost 0 inf + 79973 591.882 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 591.882 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 591.882 * * * * [progress]: [ 2057 / 5906 ] simplifiying candidate # 591.883 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 591.883 * * [simplify]: iters left: 6 (35 enodes) 591.891 * * [simplify]: iters left: 5 (161 enodes) 591.925 * * [simplify]: iters left: 4 (419 enodes) 592.065 * * [simplify]: Extracting #0: cost 1 inf + 0 592.065 * * [simplify]: Extracting #1: cost 3 inf + 0 592.065 * * [simplify]: Extracting #2: cost 13 inf + 0 592.065 * * [simplify]: Extracting #3: cost 106 inf + 0 592.066 * * [simplify]: Extracting #4: cost 270 inf + 44 592.067 * * [simplify]: Extracting #5: cost 366 inf + 1473 592.070 * * [simplify]: Extracting #6: cost 401 inf + 11996 592.080 * * [simplify]: Extracting #7: cost 302 inf + 52487 592.102 * * [simplify]: Extracting #8: cost 155 inf + 100910 592.132 * * [simplify]: Extracting #9: cost 35 inf + 150103 592.171 * * [simplify]: Extracting #10: cost 6 inf + 172788 592.212 * * [simplify]: Extracting #11: cost 0 inf + 176338 592.252 * * [simplify]: Extracting #12: cost 0 inf + 175818 592.293 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) 592.293 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 592.294 * * * * [progress]: [ 2058 / 5906 ] simplifiying candidate # 592.294 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 592.294 * * [simplify]: iters left: 6 (45 enodes) 592.306 * * [simplify]: iters left: 5 (217 enodes) 592.353 * * [simplify]: Extracting #0: cost 1 inf + 0 592.353 * * [simplify]: Extracting #1: cost 3 inf + 0 592.353 * * [simplify]: Extracting #2: cost 6 inf + 0 592.353 * * [simplify]: Extracting #3: cost 54 inf + 0 592.354 * * [simplify]: Extracting #4: cost 120 inf + 0 592.354 * * [simplify]: Extracting #5: cost 187 inf + 0 592.357 * * [simplify]: Extracting #6: cost 249 inf + 373 592.358 * * [simplify]: Extracting #7: cost 216 inf + 7976 592.362 * * [simplify]: Extracting #8: cost 120 inf + 28715 592.368 * * [simplify]: Extracting #9: cost 74 inf + 43570 592.380 * * [simplify]: Extracting #10: cost 32 inf + 70967 592.397 * * [simplify]: Extracting #11: cost 9 inf + 93618 592.418 * * [simplify]: Extracting #12: cost 0 inf + 103403 592.439 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) 592.439 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 592.440 * * * * [progress]: [ 2059 / 5906 ] simplifiying candidate # 592.441 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 592.441 * * [simplify]: iters left: 6 (46 enodes) 592.455 * * [simplify]: iters left: 5 (226 enodes) 592.506 * * [simplify]: Extracting #0: cost 1 inf + 0 592.506 * * [simplify]: Extracting #1: cost 3 inf + 0 592.507 * * [simplify]: Extracting #2: cost 6 inf + 0 592.507 * * [simplify]: Extracting #3: cost 58 inf + 0 592.507 * * [simplify]: Extracting #4: cost 143 inf + 0 592.507 * * [simplify]: Extracting #5: cost 191 inf + 899 592.509 * * [simplify]: Extracting #6: cost 216 inf + 7063 592.511 * * [simplify]: Extracting #7: cost 202 inf + 11361 592.515 * * [simplify]: Extracting #8: cost 123 inf + 29610 592.527 * * [simplify]: Extracting #9: cost 40 inf + 68117 592.546 * * [simplify]: Extracting #10: cost 1 inf + 103395 592.567 * * [simplify]: Extracting #11: cost 0 inf + 105100 592.589 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 592.589 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 592.589 * * * * [progress]: [ 2060 / 5906 ] simplifiying candidate # 592.590 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 592.590 * * [simplify]: iters left: 6 (46 enodes) 592.602 * * [simplify]: iters left: 5 (226 enodes) 592.653 * * [simplify]: Extracting #0: cost 1 inf + 0 592.653 * * [simplify]: Extracting #1: cost 3 inf + 0 592.653 * * [simplify]: Extracting #2: cost 6 inf + 0 592.653 * * [simplify]: Extracting #3: cost 60 inf + 0 592.653 * * [simplify]: Extracting #4: cost 141 inf + 0 592.654 * * [simplify]: Extracting #5: cost 190 inf + 534 592.655 * * [simplify]: Extracting #6: cost 219 inf + 5449 592.657 * * [simplify]: Extracting #7: cost 206 inf + 10177 592.661 * * [simplify]: Extracting #8: cost 121 inf + 31627 592.670 * * [simplify]: Extracting #9: cost 46 inf + 62705 592.688 * * [simplify]: Extracting #10: cost 2 inf + 100002 592.711 * * [simplify]: Extracting #11: cost 0 inf + 102612 592.732 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 592.732 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 592.733 * * * * [progress]: [ 2061 / 5906 ] simplifiying candidate # 592.733 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 592.733 * * [simplify]: iters left: 6 (40 enodes) 592.743 * * [simplify]: iters left: 5 (190 enodes) 592.785 * * [simplify]: Extracting #0: cost 1 inf + 0 592.785 * * [simplify]: Extracting #1: cost 3 inf + 0 592.785 * * [simplify]: Extracting #2: cost 6 inf + 0 592.785 * * [simplify]: Extracting #3: cost 52 inf + 0 592.785 * * [simplify]: Extracting #4: cost 109 inf + 0 592.786 * * [simplify]: Extracting #5: cost 145 inf + 44 592.789 * * [simplify]: Extracting #6: cost 191 inf + 1559 592.790 * * [simplify]: Extracting #7: cost 188 inf + 2742 592.792 * * [simplify]: Extracting #8: cost 136 inf + 15582 592.799 * * [simplify]: Extracting #9: cost 67 inf + 40647 592.811 * * [simplify]: Extracting #10: cost 35 inf + 58824 592.826 * * [simplify]: Extracting #11: cost 6 inf + 74923 592.842 * * [simplify]: Extracting #12: cost 2 inf + 79261 592.859 * * [simplify]: Extracting #13: cost 0 inf + 82271 592.876 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))) 592.877 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ phi1 phi2) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 592.877 * * * * [progress]: [ 2062 / 5906 ] simplifiying candidate # 592.877 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 592.878 * * [simplify]: iters left: 6 (45 enodes) 592.891 * * [simplify]: iters left: 5 (218 enodes) 592.938 * * [simplify]: Extracting #0: cost 1 inf + 0 592.938 * * [simplify]: Extracting #1: cost 3 inf + 0 592.938 * * [simplify]: Extracting #2: cost 10 inf + 0 592.938 * * [simplify]: Extracting #3: cost 72 inf + 0 592.938 * * [simplify]: Extracting #4: cost 126 inf + 42 592.939 * * [simplify]: Extracting #5: cost 164 inf + 332 592.940 * * [simplify]: Extracting #6: cost 214 inf + 2285 592.941 * * [simplify]: Extracting #7: cost 205 inf + 6356 592.944 * * [simplify]: Extracting #8: cost 135 inf + 23825 592.952 * * [simplify]: Extracting #9: cost 59 inf + 53966 592.968 * * [simplify]: Extracting #10: cost 22 inf + 79915 592.988 * * [simplify]: Extracting #11: cost 1 inf + 96137 593.008 * * [simplify]: Extracting #12: cost 0 inf + 97842 593.028 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 593.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 593.028 * * * * [progress]: [ 2063 / 5906 ] simplifiying candidate # 593.029 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 593.029 * * [simplify]: iters left: 6 (40 enodes) 593.039 * * [simplify]: iters left: 5 (190 enodes) 593.082 * * [simplify]: Extracting #0: cost 1 inf + 0 593.082 * * [simplify]: Extracting #1: cost 3 inf + 0 593.082 * * [simplify]: Extracting #2: cost 10 inf + 0 593.082 * * [simplify]: Extracting #3: cost 64 inf + 0 593.083 * * [simplify]: Extracting #4: cost 107 inf + 44 593.083 * * [simplify]: Extracting #5: cost 132 inf + 823 593.084 * * [simplify]: Extracting #6: cost 183 inf + 2689 593.085 * * [simplify]: Extracting #7: cost 185 inf + 3224 593.087 * * [simplify]: Extracting #8: cost 112 inf + 21046 593.096 * * [simplify]: Extracting #9: cost 38 inf + 54012 593.111 * * [simplify]: Extracting #10: cost 5 inf + 75022 593.127 * * [simplify]: Extracting #11: cost 0 inf + 79801 593.143 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) 593.143 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 593.143 * * * * [progress]: [ 2064 / 5906 ] simplifiying candidate # 593.143 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 593.144 * * [simplify]: iters left: 6 (45 enodes) 593.157 * * [simplify]: iters left: 5 (218 enodes) 593.204 * * [simplify]: Extracting #0: cost 1 inf + 0 593.204 * * [simplify]: Extracting #1: cost 3 inf + 0 593.204 * * [simplify]: Extracting #2: cost 10 inf + 0 593.204 * * [simplify]: Extracting #3: cost 72 inf + 0 593.204 * * [simplify]: Extracting #4: cost 126 inf + 42 593.205 * * [simplify]: Extracting #5: cost 165 inf + 290 593.205 * * [simplify]: Extracting #6: cost 216 inf + 2043 593.207 * * [simplify]: Extracting #7: cost 203 inf + 7071 593.210 * * [simplify]: Extracting #8: cost 137 inf + 23468 593.217 * * [simplify]: Extracting #9: cost 58 inf + 54168 593.234 * * [simplify]: Extracting #10: cost 24 inf + 79069 593.252 * * [simplify]: Extracting #11: cost 1 inf + 97097 593.272 * * [simplify]: Extracting #12: cost 0 inf + 98802 593.292 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 593.292 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 593.293 * * * * [progress]: [ 2065 / 5906 ] simplifiying candidate # 593.293 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 593.293 * * [simplify]: iters left: 6 (40 enodes) 593.303 * * [simplify]: iters left: 5 (190 enodes) 593.344 * * [simplify]: Extracting #0: cost 1 inf + 0 593.344 * * [simplify]: Extracting #1: cost 3 inf + 0 593.344 * * [simplify]: Extracting #2: cost 10 inf + 0 593.344 * * [simplify]: Extracting #3: cost 63 inf + 0 593.344 * * [simplify]: Extracting #4: cost 106 inf + 86 593.345 * * [simplify]: Extracting #5: cost 124 inf + 1958 593.345 * * [simplify]: Extracting #6: cost 181 inf + 2932 593.346 * * [simplify]: Extracting #7: cost 183 inf + 3386 593.349 * * [simplify]: Extracting #8: cost 110 inf + 20679 593.359 * * [simplify]: Extracting #9: cost 37 inf + 54517 593.375 * * [simplify]: Extracting #10: cost 2 inf + 79777 593.391 * * [simplify]: Extracting #11: cost 0 inf + 80201 593.408 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) 593.408 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 593.408 * * * * [progress]: [ 2066 / 5906 ] simplifiying candidate # 593.408 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 593.409 * * [simplify]: iters left: 6 (52 enodes) 593.424 * * [simplify]: iters left: 5 (254 enodes) 593.480 * * [simplify]: Extracting #0: cost 1 inf + 0 593.480 * * [simplify]: Extracting #1: cost 3 inf + 0 593.480 * * [simplify]: Extracting #2: cost 6 inf + 0 593.480 * * [simplify]: Extracting #3: cost 56 inf + 0 593.480 * * [simplify]: Extracting #4: cost 130 inf + 0 593.480 * * [simplify]: Extracting #5: cost 215 inf + 0 593.481 * * [simplify]: Extracting #6: cost 313 inf + 469 593.485 * * [simplify]: Extracting #7: cost 279 inf + 6607 593.490 * * [simplify]: Extracting #8: cost 134 inf + 44351 593.501 * * [simplify]: Extracting #9: cost 60 inf + 71120 593.521 * * [simplify]: Extracting #10: cost 12 inf + 130350 593.546 * * [simplify]: Extracting #11: cost 1 inf + 135327 593.572 * * [simplify]: Extracting #12: cost 0 inf + 134146 593.600 * * [simplify]: Extracting #13: cost 0 inf + 133605 593.626 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) 593.627 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 593.627 * * * * [progress]: [ 2067 / 5906 ] simplifiying candidate # 593.627 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 593.628 * * [simplify]: iters left: 6 (53 enodes) 593.641 * * [simplify]: iters left: 5 (263 enodes) 593.703 * * [simplify]: Extracting #0: cost 1 inf + 0 593.703 * * [simplify]: Extracting #1: cost 3 inf + 0 593.703 * * [simplify]: Extracting #2: cost 6 inf + 0 593.703 * * [simplify]: Extracting #3: cost 60 inf + 0 593.703 * * [simplify]: Extracting #4: cost 153 inf + 0 593.704 * * [simplify]: Extracting #5: cost 228 inf + 86 593.705 * * [simplify]: Extracting #6: cost 288 inf + 4560 593.707 * * [simplify]: Extracting #7: cost 249 inf + 13958 593.712 * * [simplify]: Extracting #8: cost 152 inf + 35769 593.722 * * [simplify]: Extracting #9: cost 67 inf + 69893 593.747 * * [simplify]: Extracting #10: cost 10 inf + 138680 593.773 * * [simplify]: Extracting #11: cost 0 inf + 137266 593.799 * * [simplify]: Extracting #12: cost 0 inf + 135102 593.825 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 593.825 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 593.826 * * * * [progress]: [ 2068 / 5906 ] simplifiying candidate # 593.826 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 593.826 * * [simplify]: iters left: 6 (53 enodes) 593.840 * * [simplify]: iters left: 5 (263 enodes) 593.899 * * [simplify]: Extracting #0: cost 1 inf + 0 593.899 * * [simplify]: Extracting #1: cost 3 inf + 0 593.899 * * [simplify]: Extracting #2: cost 6 inf + 0 593.899 * * [simplify]: Extracting #3: cost 62 inf + 0 593.899 * * [simplify]: Extracting #4: cost 151 inf + 0 593.900 * * [simplify]: Extracting #5: cost 223 inf + 128 593.901 * * [simplify]: Extracting #6: cost 288 inf + 3833 593.903 * * [simplify]: Extracting #7: cost 256 inf + 12305 593.908 * * [simplify]: Extracting #8: cost 154 inf + 37568 593.921 * * [simplify]: Extracting #9: cost 71 inf + 64591 593.942 * * [simplify]: Extracting #10: cost 8 inf + 123574 593.969 * * [simplify]: Extracting #11: cost 0 inf + 132934 593.996 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 593.996 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 593.997 * * * * [progress]: [ 2069 / 5906 ] simplifiying candidate # 593.997 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 593.997 * * [simplify]: iters left: 6 (47 enodes) 594.010 * * [simplify]: iters left: 5 (227 enodes) 594.058 * * [simplify]: Extracting #0: cost 1 inf + 0 594.058 * * [simplify]: Extracting #1: cost 3 inf + 0 594.059 * * [simplify]: Extracting #2: cost 6 inf + 0 594.059 * * [simplify]: Extracting #3: cost 54 inf + 0 594.059 * * [simplify]: Extracting #4: cost 119 inf + 0 594.059 * * [simplify]: Extracting #5: cost 170 inf + 370 594.060 * * [simplify]: Extracting #6: cost 246 inf + 2368 594.061 * * [simplify]: Extracting #7: cost 235 inf + 4486 594.065 * * [simplify]: Extracting #8: cost 145 inf + 24946 594.073 * * [simplify]: Extracting #9: cost 76 inf + 47817 594.090 * * [simplify]: Extracting #10: cost 17 inf + 90388 594.111 * * [simplify]: Extracting #11: cost 1 inf + 105408 594.132 * * [simplify]: Extracting #12: cost 0 inf + 107233 594.154 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 594.154 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 594.154 * * * * [progress]: [ 2070 / 5906 ] simplifiying candidate # 594.155 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 594.155 * * [simplify]: iters left: 6 (52 enodes) 594.168 * * [simplify]: iters left: 5 (255 enodes) 594.224 * * [simplify]: Extracting #0: cost 1 inf + 0 594.224 * * [simplify]: Extracting #1: cost 3 inf + 0 594.224 * * [simplify]: Extracting #2: cost 10 inf + 0 594.225 * * [simplify]: Extracting #3: cost 74 inf + 0 594.225 * * [simplify]: Extracting #4: cost 137 inf + 1 594.225 * * [simplify]: Extracting #5: cost 194 inf + 248 594.226 * * [simplify]: Extracting #6: cost 276 inf + 2643 594.228 * * [simplify]: Extracting #7: cost 252 inf + 7175 594.231 * * [simplify]: Extracting #8: cost 154 inf + 29536 594.240 * * [simplify]: Extracting #9: cost 71 inf + 60122 594.260 * * [simplify]: Extracting #10: cost 21 inf + 102914 594.284 * * [simplify]: Extracting #11: cost 1 inf + 121139 594.311 * * [simplify]: Extracting #12: cost 0 inf + 123164 594.335 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 594.335 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 594.336 * * * * [progress]: [ 2071 / 5906 ] simplifiying candidate # 594.336 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 594.336 * * [simplify]: iters left: 6 (47 enodes) 594.348 * * [simplify]: iters left: 5 (227 enodes) 594.397 * * [simplify]: Extracting #0: cost 1 inf + 0 594.397 * * [simplify]: Extracting #1: cost 3 inf + 0 594.397 * * [simplify]: Extracting #2: cost 10 inf + 0 594.397 * * [simplify]: Extracting #3: cost 66 inf + 0 594.397 * * [simplify]: Extracting #4: cost 116 inf + 86 594.398 * * [simplify]: Extracting #5: cost 155 inf + 1392 594.399 * * [simplify]: Extracting #6: cost 241 inf + 2932 594.400 * * [simplify]: Extracting #7: cost 237 inf + 3915 594.404 * * [simplify]: Extracting #8: cost 136 inf + 25816 594.413 * * [simplify]: Extracting #9: cost 49 inf + 61700 594.432 * * [simplify]: Extracting #10: cost 7 inf + 96908 594.452 * * [simplify]: Extracting #11: cost 1 inf + 103578 594.473 * * [simplify]: Extracting #12: cost 0 inf + 105363 594.493 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 594.493 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 594.494 * * * * [progress]: [ 2072 / 5906 ] simplifiying candidate # 594.494 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 594.495 * * [simplify]: iters left: 6 (52 enodes) 594.508 * * [simplify]: iters left: 5 (255 enodes) 594.564 * * [simplify]: Extracting #0: cost 1 inf + 0 594.564 * * [simplify]: Extracting #1: cost 3 inf + 0 594.564 * * [simplify]: Extracting #2: cost 10 inf + 0 594.564 * * [simplify]: Extracting #3: cost 74 inf + 0 594.565 * * [simplify]: Extracting #4: cost 137 inf + 1 594.565 * * [simplify]: Extracting #5: cost 194 inf + 248 594.566 * * [simplify]: Extracting #6: cost 278 inf + 1638 594.567 * * [simplify]: Extracting #7: cost 257 inf + 6006 594.571 * * [simplify]: Extracting #8: cost 149 inf + 30368 594.580 * * [simplify]: Extracting #9: cost 71 inf + 60042 594.601 * * [simplify]: Extracting #10: cost 21 inf + 103474 594.625 * * [simplify]: Extracting #11: cost 1 inf + 122099 594.650 * * [simplify]: Extracting #12: cost 0 inf + 124124 594.675 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 594.675 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 594.676 * * * * [progress]: [ 2073 / 5906 ] simplifiying candidate # 594.676 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 594.676 * * [simplify]: iters left: 6 (47 enodes) 594.688 * * [simplify]: iters left: 5 (227 enodes) 594.738 * * [simplify]: Extracting #0: cost 1 inf + 0 594.738 * * [simplify]: Extracting #1: cost 3 inf + 0 594.738 * * [simplify]: Extracting #2: cost 10 inf + 0 594.738 * * [simplify]: Extracting #3: cost 65 inf + 0 594.738 * * [simplify]: Extracting #4: cost 117 inf + 44 594.739 * * [simplify]: Extracting #5: cost 162 inf + 618 594.740 * * [simplify]: Extracting #6: cost 242 inf + 2770 594.741 * * [simplify]: Extracting #7: cost 237 inf + 3915 594.745 * * [simplify]: Extracting #8: cost 137 inf + 25249 594.755 * * [simplify]: Extracting #9: cost 48 inf + 62704 594.778 * * [simplify]: Extracting #10: cost 8 inf + 97096 594.798 * * [simplify]: Extracting #11: cost 1 inf + 103978 594.819 * * [simplify]: Extracting #12: cost 0 inf + 105763 594.840 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 594.840 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 594.840 * * * * [progress]: [ 2074 / 5906 ] simplifiying candidate # 594.840 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 594.841 * * [simplify]: iters left: 6 (52 enodes) 594.854 * * [simplify]: iters left: 5 (253 enodes) 594.911 * * [simplify]: Extracting #0: cost 1 inf + 0 594.911 * * [simplify]: Extracting #1: cost 3 inf + 0 594.911 * * [simplify]: Extracting #2: cost 6 inf + 0 594.911 * * [simplify]: Extracting #3: cost 56 inf + 0 594.911 * * [simplify]: Extracting #4: cost 130 inf + 0 594.912 * * [simplify]: Extracting #5: cost 216 inf + 0 594.913 * * [simplify]: Extracting #6: cost 305 inf + 681 594.915 * * [simplify]: Extracting #7: cost 260 inf + 9844 594.919 * * [simplify]: Extracting #8: cost 150 inf + 36270 594.927 * * [simplify]: Extracting #9: cost 89 inf + 52014 594.941 * * [simplify]: Extracting #10: cost 57 inf + 70445 594.960 * * [simplify]: Extracting #11: cost 12 inf + 114992 594.986 * * [simplify]: Extracting #12: cost 1 inf + 128703 595.011 * * [simplify]: Extracting #13: cost 0 inf + 130728 595.036 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 595.037 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 595.037 * * * * [progress]: [ 2075 / 5906 ] simplifiying candidate # 595.037 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 595.038 * * [simplify]: iters left: 6 (53 enodes) 595.053 * * [simplify]: iters left: 5 (262 enodes) 595.112 * * [simplify]: Extracting #0: cost 1 inf + 0 595.112 * * [simplify]: Extracting #1: cost 3 inf + 0 595.112 * * [simplify]: Extracting #2: cost 6 inf + 0 595.112 * * [simplify]: Extracting #3: cost 60 inf + 0 595.112 * * [simplify]: Extracting #4: cost 153 inf + 0 595.113 * * [simplify]: Extracting #5: cost 230 inf + 44 595.116 * * [simplify]: Extracting #6: cost 284 inf + 4037 595.119 * * [simplify]: Extracting #7: cost 257 inf + 11058 595.123 * * [simplify]: Extracting #8: cost 154 inf + 36083 595.140 * * [simplify]: Extracting #9: cost 30 inf + 104779 595.165 * * [simplify]: Extracting #10: cost 3 inf + 127630 595.191 * * [simplify]: Extracting #11: cost 0 inf + 133905 595.217 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 595.218 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 595.218 * * * * [progress]: [ 2076 / 5906 ] simplifiying candidate # 595.218 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 595.219 * * [simplify]: iters left: 6 (53 enodes) 595.232 * * [simplify]: iters left: 5 (262 enodes) 595.293 * * [simplify]: Extracting #0: cost 1 inf + 0 595.293 * * [simplify]: Extracting #1: cost 3 inf + 0 595.293 * * [simplify]: Extracting #2: cost 6 inf + 0 595.293 * * [simplify]: Extracting #3: cost 62 inf + 0 595.293 * * [simplify]: Extracting #4: cost 151 inf + 0 595.294 * * [simplify]: Extracting #5: cost 224 inf + 208 595.295 * * [simplify]: Extracting #6: cost 279 inf + 4757 595.297 * * [simplify]: Extracting #7: cost 250 inf + 11169 595.303 * * [simplify]: Extracting #8: cost 136 inf + 43843 595.318 * * [simplify]: Extracting #9: cost 36 inf + 107577 595.343 * * [simplify]: Extracting #10: cost 1 inf + 134076 595.370 * * [simplify]: Extracting #11: cost 0 inf + 133017 595.398 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 595.398 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 595.399 * * * * [progress]: [ 2077 / 5906 ] simplifiying candidate # 595.399 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 595.399 * * [simplify]: iters left: 6 (47 enodes) 595.411 * * [simplify]: iters left: 5 (226 enodes) 595.461 * * [simplify]: Extracting #0: cost 1 inf + 0 595.461 * * [simplify]: Extracting #1: cost 3 inf + 0 595.461 * * [simplify]: Extracting #2: cost 6 inf + 0 595.461 * * [simplify]: Extracting #3: cost 54 inf + 0 595.462 * * [simplify]: Extracting #4: cost 119 inf + 0 595.462 * * [simplify]: Extracting #5: cost 169 inf + 492 595.463 * * [simplify]: Extracting #6: cost 237 inf + 2852 595.464 * * [simplify]: Extracting #7: cost 229 inf + 4283 595.468 * * [simplify]: Extracting #8: cost 137 inf + 24982 595.478 * * [simplify]: Extracting #9: cost 61 inf + 60501 595.495 * * [simplify]: Extracting #10: cost 9 inf + 95771 595.515 * * [simplify]: Extracting #11: cost 1 inf + 103731 595.537 * * [simplify]: Extracting #12: cost 0 inf + 105556 595.559 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 595.559 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 595.560 * * * * [progress]: [ 2078 / 5906 ] simplifiying candidate # 595.560 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 595.560 * * [simplify]: iters left: 6 (52 enodes) 595.573 * * [simplify]: iters left: 5 (254 enodes) 595.631 * * [simplify]: Extracting #0: cost 1 inf + 0 595.631 * * [simplify]: Extracting #1: cost 3 inf + 0 595.631 * * [simplify]: Extracting #2: cost 10 inf + 0 595.631 * * [simplify]: Extracting #3: cost 74 inf + 0 595.631 * * [simplify]: Extracting #4: cost 137 inf + 1 595.632 * * [simplify]: Extracting #5: cost 196 inf + 207 595.633 * * [simplify]: Extracting #6: cost 269 inf + 2042 595.634 * * [simplify]: Extracting #7: cost 247 inf + 6982 595.638 * * [simplify]: Extracting #8: cost 147 inf + 30507 595.646 * * [simplify]: Extracting #9: cost 74 inf + 56552 595.664 * * [simplify]: Extracting #10: cost 14 inf + 105381 595.689 * * [simplify]: Extracting #11: cost 1 inf + 119702 595.714 * * [simplify]: Extracting #12: cost 0 inf + 121727 595.740 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 595.740 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 595.741 * * * * [progress]: [ 2079 / 5906 ] simplifiying candidate # 595.741 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 595.741 * * [simplify]: iters left: 6 (47 enodes) 595.753 * * [simplify]: iters left: 5 (226 enodes) 595.800 * * [simplify]: Extracting #0: cost 1 inf + 0 595.801 * * [simplify]: Extracting #1: cost 3 inf + 0 595.801 * * [simplify]: Extracting #2: cost 10 inf + 0 595.801 * * [simplify]: Extracting #3: cost 66 inf + 0 595.801 * * [simplify]: Extracting #4: cost 116 inf + 86 595.801 * * [simplify]: Extracting #5: cost 157 inf + 1350 595.802 * * [simplify]: Extracting #6: cost 234 inf + 2932 595.806 * * [simplify]: Extracting #7: cost 230 inf + 3917 595.809 * * [simplify]: Extracting #8: cost 134 inf + 25508 595.819 * * [simplify]: Extracting #9: cost 56 inf + 59000 595.836 * * [simplify]: Extracting #10: cost 4 inf + 98066 595.856 * * [simplify]: Extracting #11: cost 0 inf + 104086 595.877 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 595.877 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 595.877 * * * * [progress]: [ 2080 / 5906 ] simplifiying candidate # 595.878 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 595.878 * * [simplify]: iters left: 6 (52 enodes) 595.891 * * [simplify]: iters left: 5 (254 enodes) 595.947 * * [simplify]: Extracting #0: cost 1 inf + 0 595.947 * * [simplify]: Extracting #1: cost 3 inf + 0 595.947 * * [simplify]: Extracting #2: cost 10 inf + 0 595.947 * * [simplify]: Extracting #3: cost 74 inf + 0 595.948 * * [simplify]: Extracting #4: cost 137 inf + 1 595.948 * * [simplify]: Extracting #5: cost 196 inf + 207 595.949 * * [simplify]: Extracting #6: cost 261 inf + 4417 595.951 * * [simplify]: Extracting #7: cost 244 inf + 7708 595.955 * * [simplify]: Extracting #8: cost 144 inf + 30723 595.965 * * [simplify]: Extracting #9: cost 73 inf + 57116 595.983 * * [simplify]: Extracting #10: cost 14 inf + 105941 596.009 * * [simplify]: Extracting #11: cost 1 inf + 120662 596.034 * * [simplify]: Extracting #12: cost 0 inf + 122687 596.059 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 596.059 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 596.060 * * * * [progress]: [ 2081 / 5906 ] simplifiying candidate # 596.060 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 596.060 * * [simplify]: iters left: 6 (47 enodes) 596.074 * * [simplify]: iters left: 5 (226 enodes) 596.121 * * [simplify]: Extracting #0: cost 1 inf + 0 596.121 * * [simplify]: Extracting #1: cost 3 inf + 0 596.121 * * [simplify]: Extracting #2: cost 10 inf + 0 596.121 * * [simplify]: Extracting #3: cost 65 inf + 0 596.121 * * [simplify]: Extracting #4: cost 117 inf + 44 596.122 * * [simplify]: Extracting #5: cost 164 inf + 496 596.123 * * [simplify]: Extracting #6: cost 236 inf + 2608 596.124 * * [simplify]: Extracting #7: cost 232 inf + 3713 596.127 * * [simplify]: Extracting #8: cost 140 inf + 24212 596.137 * * [simplify]: Extracting #9: cost 58 inf + 57853 596.155 * * [simplify]: Extracting #10: cost 4 inf + 98466 596.176 * * [simplify]: Extracting #11: cost 0 inf + 104486 596.196 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) 596.196 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi1 phi2) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 596.197 * * * * [progress]: [ 2082 / 5906 ] simplifiying candidate # 596.197 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 596.198 * * [simplify]: iters left: 6 (52 enodes) 596.211 * * [simplify]: iters left: 5 (254 enodes) 596.268 * * [simplify]: Extracting #0: cost 1 inf + 0 596.268 * * [simplify]: Extracting #1: cost 3 inf + 0 596.268 * * [simplify]: Extracting #2: cost 6 inf + 0 596.268 * * [simplify]: Extracting #3: cost 56 inf + 0 596.268 * * [simplify]: Extracting #4: cost 130 inf + 0 596.269 * * [simplify]: Extracting #5: cost 208 inf + 0 596.269 * * [simplify]: Extracting #6: cost 300 inf + 469 596.271 * * [simplify]: Extracting #7: cost 257 inf + 9965 596.275 * * [simplify]: Extracting #8: cost 149 inf + 37200 596.285 * * [simplify]: Extracting #9: cost 63 inf + 64069 596.305 * * [simplify]: Extracting #10: cost 14 inf + 108955 596.332 * * [simplify]: Extracting #11: cost 0 inf + 126865 596.356 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) 596.356 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 596.357 * * * * [progress]: [ 2083 / 5906 ] simplifiying candidate # 596.357 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 596.357 * * [simplify]: iters left: 6 (53 enodes) 596.371 * * [simplify]: iters left: 5 (263 enodes) 596.430 * * [simplify]: Extracting #0: cost 1 inf + 0 596.430 * * [simplify]: Extracting #1: cost 3 inf + 0 596.430 * * [simplify]: Extracting #2: cost 6 inf + 0 596.430 * * [simplify]: Extracting #3: cost 60 inf + 0 596.430 * * [simplify]: Extracting #4: cost 153 inf + 0 596.431 * * [simplify]: Extracting #5: cost 220 inf + 168 596.432 * * [simplify]: Extracting #6: cost 273 inf + 4887 596.434 * * [simplify]: Extracting #7: cost 244 inf + 12189 596.439 * * [simplify]: Extracting #8: cost 153 inf + 33259 596.448 * * [simplify]: Extracting #9: cost 75 inf + 61229 596.461 * * [simplify]: Extracting #10: cost 38 inf + 84536 596.484 * * [simplify]: Extracting #11: cost 8 inf + 118282 596.508 * * [simplify]: Extracting #12: cost 0 inf + 129522 596.533 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 596.533 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 596.533 * * * * [progress]: [ 2084 / 5906 ] simplifiying candidate # 596.534 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 596.534 * * [simplify]: iters left: 6 (53 enodes) 596.547 * * [simplify]: iters left: 5 (263 enodes) 596.607 * * [simplify]: Extracting #0: cost 1 inf + 0 596.607 * * [simplify]: Extracting #1: cost 3 inf + 0 596.607 * * [simplify]: Extracting #2: cost 6 inf + 0 596.607 * * [simplify]: Extracting #3: cost 62 inf + 0 596.608 * * [simplify]: Extracting #4: cost 151 inf + 0 596.608 * * [simplify]: Extracting #5: cost 217 inf + 86 596.609 * * [simplify]: Extracting #6: cost 277 inf + 3950 596.611 * * [simplify]: Extracting #7: cost 242 inf + 11483 596.616 * * [simplify]: Extracting #8: cost 158 inf + 32986 596.626 * * [simplify]: Extracting #9: cost 67 inf + 63567 596.648 * * [simplify]: Extracting #10: cost 16 inf + 108497 596.671 * * [simplify]: Extracting #11: cost 0 inf + 125754 596.695 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) 596.695 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 596.695 * * * * [progress]: [ 2085 / 5906 ] simplifiying candidate # 596.696 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 596.696 * * [simplify]: iters left: 6 (47 enodes) 596.708 * * [simplify]: iters left: 5 (227 enodes) 596.757 * * [simplify]: Extracting #0: cost 1 inf + 0 596.757 * * [simplify]: Extracting #1: cost 3 inf + 0 596.757 * * [simplify]: Extracting #2: cost 6 inf + 0 596.758 * * [simplify]: Extracting #3: cost 54 inf + 0 596.758 * * [simplify]: Extracting #4: cost 119 inf + 0 596.758 * * [simplify]: Extracting #5: cost 166 inf + 44 596.759 * * [simplify]: Extracting #6: cost 238 inf + 1397 596.760 * * [simplify]: Extracting #7: cost 225 inf + 3960 596.763 * * [simplify]: Extracting #8: cost 161 inf + 18015 596.769 * * [simplify]: Extracting #9: cost 80 inf + 43346 596.783 * * [simplify]: Extracting #10: cost 24 inf + 81393 596.803 * * [simplify]: Extracting #11: cost 1 inf + 101108 596.826 * * [simplify]: Extracting #12: cost 0 inf + 102973 596.846 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 596.846 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 596.847 * * * * [progress]: [ 2086 / 5906 ] simplifiying candidate # 596.847 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 596.847 * * [simplify]: iters left: 6 (52 enodes) 596.861 * * [simplify]: iters left: 5 (255 enodes) 596.919 * * [simplify]: Extracting #0: cost 1 inf + 0 596.919 * * [simplify]: Extracting #1: cost 3 inf + 0 596.919 * * [simplify]: Extracting #2: cost 10 inf + 0 596.920 * * [simplify]: Extracting #3: cost 74 inf + 0 596.920 * * [simplify]: Extracting #4: cost 137 inf + 1 596.920 * * [simplify]: Extracting #5: cost 187 inf + 248 596.921 * * [simplify]: Extracting #6: cost 264 inf + 1960 596.923 * * [simplify]: Extracting #7: cost 243 inf + 6457 596.927 * * [simplify]: Extracting #8: cost 137 inf + 36833 596.937 * * [simplify]: Extracting #9: cost 65 inf + 62332 596.957 * * [simplify]: Extracting #10: cost 7 inf + 108811 596.981 * * [simplify]: Extracting #11: cost 0 inf + 118384 597.007 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 597.007 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 597.008 * * * * [progress]: [ 2087 / 5906 ] simplifiying candidate # 597.008 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 597.009 * * [simplify]: iters left: 6 (47 enodes) 597.020 * * [simplify]: iters left: 5 (227 enodes) 597.070 * * [simplify]: Extracting #0: cost 1 inf + 0 597.070 * * [simplify]: Extracting #1: cost 3 inf + 0 597.070 * * [simplify]: Extracting #2: cost 10 inf + 0 597.070 * * [simplify]: Extracting #3: cost 66 inf + 0 597.071 * * [simplify]: Extracting #4: cost 116 inf + 86 597.071 * * [simplify]: Extracting #5: cost 147 inf + 1554 597.072 * * [simplify]: Extracting #6: cost 228 inf + 2932 597.073 * * [simplify]: Extracting #7: cost 218 inf + 5133 597.077 * * [simplify]: Extracting #8: cost 124 inf + 27906 597.086 * * [simplify]: Extracting #9: cost 54 inf + 58420 597.102 * * [simplify]: Extracting #10: cost 4 inf + 96269 597.122 * * [simplify]: Extracting #11: cost 1 inf + 98478 597.141 * * [simplify]: Extracting #12: cost 0 inf + 100263 597.162 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 597.162 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 597.162 * * * * [progress]: [ 2088 / 5906 ] simplifiying candidate # 597.163 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 597.163 * * [simplify]: iters left: 6 (52 enodes) 597.176 * * [simplify]: iters left: 5 (255 enodes) 597.231 * * [simplify]: Extracting #0: cost 1 inf + 0 597.231 * * [simplify]: Extracting #1: cost 3 inf + 0 597.231 * * [simplify]: Extracting #2: cost 10 inf + 0 597.231 * * [simplify]: Extracting #3: cost 74 inf + 0 597.232 * * [simplify]: Extracting #4: cost 137 inf + 1 597.232 * * [simplify]: Extracting #5: cost 187 inf + 248 597.236 * * [simplify]: Extracting #6: cost 268 inf + 1313 597.237 * * [simplify]: Extracting #7: cost 248 inf + 5177 597.242 * * [simplify]: Extracting #8: cost 137 inf + 36702 597.251 * * [simplify]: Extracting #9: cost 67 inf + 61286 597.271 * * [simplify]: Extracting #10: cost 13 inf + 105593 597.295 * * [simplify]: Extracting #11: cost 0 inf + 119344 597.319 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 597.319 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 597.319 * * * * [progress]: [ 2089 / 5906 ] simplifiying candidate # 597.320 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 597.320 * * [simplify]: iters left: 6 (47 enodes) 597.333 * * [simplify]: iters left: 5 (227 enodes) 597.380 * * [simplify]: Extracting #0: cost 1 inf + 0 597.380 * * [simplify]: Extracting #1: cost 3 inf + 0 597.380 * * [simplify]: Extracting #2: cost 10 inf + 0 597.380 * * [simplify]: Extracting #3: cost 65 inf + 0 597.380 * * [simplify]: Extracting #4: cost 117 inf + 44 597.381 * * [simplify]: Extracting #5: cost 154 inf + 780 597.382 * * [simplify]: Extracting #6: cost 229 inf + 2770 597.383 * * [simplify]: Extracting #7: cost 218 inf + 5012 597.387 * * [simplify]: Extracting #8: cost 129 inf + 26048 597.395 * * [simplify]: Extracting #9: cost 56 inf + 55341 597.412 * * [simplify]: Extracting #10: cost 11 inf + 90774 597.431 * * [simplify]: Extracting #11: cost 1 inf + 98958 597.451 * * [simplify]: Extracting #12: cost 0 inf + 100743 597.470 * * [simplify]: Extracting #13: cost 0 inf + 100663 597.490 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) 597.490 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 597.490 * * * * [progress]: [ 2090 / 5906 ] simplifiying candidate # 597.491 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 597.491 * * [simplify]: iters left: 6 (45 enodes) 597.504 * * [simplify]: iters left: 5 (213 enodes) 597.550 * * [simplify]: Extracting #0: cost 1 inf + 0 597.550 * * [simplify]: Extracting #1: cost 3 inf + 0 597.550 * * [simplify]: Extracting #2: cost 6 inf + 0 597.550 * * [simplify]: Extracting #3: cost 48 inf + 0 597.550 * * [simplify]: Extracting #4: cost 112 inf + 0 597.551 * * [simplify]: Extracting #5: cost 179 inf + 0 597.551 * * [simplify]: Extracting #6: cost 237 inf + 1352 597.553 * * [simplify]: Extracting #7: cost 203 inf + 8724 597.556 * * [simplify]: Extracting #8: cost 139 inf + 20652 597.562 * * [simplify]: Extracting #9: cost 75 inf + 41914 597.574 * * [simplify]: Extracting #10: cost 30 inf + 67840 597.592 * * [simplify]: Extracting #11: cost 11 inf + 86534 597.611 * * [simplify]: Extracting #12: cost 0 inf + 98969 597.630 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 597.630 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 597.631 * * * * [progress]: [ 2091 / 5906 ] simplifiying candidate # 597.631 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 597.631 * * [simplify]: iters left: 6 (46 enodes) 597.643 * * [simplify]: iters left: 5 (222 enodes) 597.694 * * [simplify]: Extracting #0: cost 1 inf + 0 597.694 * * [simplify]: Extracting #1: cost 3 inf + 0 597.694 * * [simplify]: Extracting #2: cost 6 inf + 0 597.694 * * [simplify]: Extracting #3: cost 52 inf + 0 597.694 * * [simplify]: Extracting #4: cost 135 inf + 0 597.695 * * [simplify]: Extracting #5: cost 184 inf + 858 597.696 * * [simplify]: Extracting #6: cost 212 inf + 6335 597.698 * * [simplify]: Extracting #7: cost 190 inf + 13022 597.702 * * [simplify]: Extracting #8: cost 139 inf + 25984 597.710 * * [simplify]: Extracting #9: cost 67 inf + 51202 597.725 * * [simplify]: Extracting #10: cost 12 inf + 91600 597.745 * * [simplify]: Extracting #11: cost 1 inf + 100062 597.767 * * [simplify]: Extracting #12: cost 0 inf + 100786 597.787 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 597.787 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 597.788 * * * * [progress]: [ 2092 / 5906 ] simplifiying candidate # 597.788 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 597.788 * * [simplify]: iters left: 6 (46 enodes) 597.800 * * [simplify]: iters left: 5 (222 enodes) 597.851 * * [simplify]: Extracting #0: cost 1 inf + 0 597.851 * * [simplify]: Extracting #1: cost 3 inf + 0 597.851 * * [simplify]: Extracting #2: cost 6 inf + 0 597.852 * * [simplify]: Extracting #3: cost 54 inf + 0 597.852 * * [simplify]: Extracting #4: cost 133 inf + 0 597.852 * * [simplify]: Extracting #5: cost 182 inf + 534 597.854 * * [simplify]: Extracting #6: cost 216 inf + 4600 597.856 * * [simplify]: Extracting #7: cost 186 inf + 13554 597.860 * * [simplify]: Extracting #8: cost 126 inf + 28071 597.870 * * [simplify]: Extracting #9: cost 41 inf + 61567 597.886 * * [simplify]: Extracting #10: cost 5 inf + 91714 597.906 * * [simplify]: Extracting #11: cost 0 inf + 98498 597.925 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 597.926 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 597.926 * * * * [progress]: [ 2093 / 5906 ] simplifiying candidate # 597.926 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 597.927 * * [simplify]: iters left: 6 (40 enodes) 597.939 * * [simplify]: iters left: 5 (186 enodes) 597.977 * * [simplify]: Extracting #0: cost 1 inf + 0 597.978 * * [simplify]: Extracting #1: cost 3 inf + 0 597.978 * * [simplify]: Extracting #2: cost 6 inf + 0 597.978 * * [simplify]: Extracting #3: cost 46 inf + 0 597.978 * * [simplify]: Extracting #4: cost 101 inf + 0 597.978 * * [simplify]: Extracting #5: cost 137 inf + 44 597.979 * * [simplify]: Extracting #6: cost 179 inf + 2286 597.980 * * [simplify]: Extracting #7: cost 177 inf + 3348 597.984 * * [simplify]: Extracting #8: cost 88 inf + 30852 597.994 * * [simplify]: Extracting #9: cost 30 inf + 55660 598.010 * * [simplify]: Extracting #10: cost 6 inf + 74913 598.026 * * [simplify]: Extracting #11: cost 0 inf + 78757 598.043 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))) 598.043 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 598.043 * * * * [progress]: [ 2094 / 5906 ] simplifiying candidate # 598.043 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 598.044 * * [simplify]: iters left: 6 (45 enodes) 598.055 * * [simplify]: iters left: 5 (215 enodes) 598.103 * * [simplify]: Extracting #0: cost 1 inf + 0 598.103 * * [simplify]: Extracting #1: cost 3 inf + 0 598.103 * * [simplify]: Extracting #2: cost 10 inf + 0 598.103 * * [simplify]: Extracting #3: cost 62 inf + 0 598.103 * * [simplify]: Extracting #4: cost 115 inf + 42 598.104 * * [simplify]: Extracting #5: cost 152 inf + 414 598.105 * * [simplify]: Extracting #6: cost 203 inf + 2285 598.106 * * [simplify]: Extracting #7: cost 185 inf + 8124 598.109 * * [simplify]: Extracting #8: cost 107 inf + 28848 598.117 * * [simplify]: Extracting #9: cost 38 inf + 57338 598.132 * * [simplify]: Extracting #10: cost 5 inf + 84448 598.150 * * [simplify]: Extracting #11: cost 0 inf + 92053 598.168 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 598.168 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 598.169 * * * * [progress]: [ 2095 / 5906 ] simplifiying candidate # 598.169 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 598.169 * * [simplify]: iters left: 6 (40 enodes) 598.180 * * [simplify]: iters left: 5 (187 enodes) 598.221 * * [simplify]: iters left: 4 (483 enodes) 598.376 * * [simplify]: Extracting #0: cost 1 inf + 0 598.377 * * [simplify]: Extracting #1: cost 3 inf + 0 598.377 * * [simplify]: Extracting #2: cost 13 inf + 0 598.377 * * [simplify]: Extracting #3: cost 110 inf + 0 598.377 * * [simplify]: Extracting #4: cost 242 inf + 85 598.383 * * [simplify]: Extracting #5: cost 343 inf + 2770 598.385 * * [simplify]: Extracting #6: cost 458 inf + 6390 598.389 * * [simplify]: Extracting #7: cost 560 inf + 10580 598.403 * * [simplify]: Extracting #8: cost 315 inf + 84746 598.443 * * [simplify]: Extracting #9: cost 78 inf + 205380 598.496 * * [simplify]: Extracting #10: cost 6 inf + 244841 598.548 * * [simplify]: Extracting #11: cost 0 inf + 247497 598.601 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) 598.601 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (+ phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 598.601 * * * * [progress]: [ 2096 / 5906 ] simplifiying candidate # 598.602 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 598.602 * * [simplify]: iters left: 6 (45 enodes) 598.614 * * [simplify]: iters left: 5 (215 enodes) 598.663 * * [simplify]: Extracting #0: cost 1 inf + 0 598.663 * * [simplify]: Extracting #1: cost 3 inf + 0 598.663 * * [simplify]: Extracting #2: cost 10 inf + 0 598.663 * * [simplify]: Extracting #3: cost 62 inf + 0 598.663 * * [simplify]: Extracting #4: cost 115 inf + 42 598.664 * * [simplify]: Extracting #5: cost 153 inf + 372 598.665 * * [simplify]: Extracting #6: cost 204 inf + 2285 598.666 * * [simplify]: Extracting #7: cost 186 inf + 7540 598.670 * * [simplify]: Extracting #8: cost 106 inf + 29420 598.678 * * [simplify]: Extracting #9: cost 36 inf + 58807 598.693 * * [simplify]: Extracting #10: cost 5 inf + 85248 598.712 * * [simplify]: Extracting #11: cost 0 inf + 92853 598.735 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 598.735 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 598.735 * * * * [progress]: [ 2097 / 5906 ] simplifiying candidate # 598.736 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 598.736 * * [simplify]: iters left: 6 (40 enodes) 598.749 * * [simplify]: iters left: 5 (187 enodes) 598.787 * * [simplify]: iters left: 4 (483 enodes) 598.947 * * [simplify]: Extracting #0: cost 1 inf + 0 598.947 * * [simplify]: Extracting #1: cost 3 inf + 0 598.947 * * [simplify]: Extracting #2: cost 13 inf + 0 598.948 * * [simplify]: Extracting #3: cost 107 inf + 0 598.948 * * [simplify]: Extracting #4: cost 250 inf + 85 598.949 * * [simplify]: Extracting #5: cost 349 inf + 2689 598.952 * * [simplify]: Extracting #6: cost 464 inf + 6228 598.955 * * [simplify]: Extracting #7: cost 568 inf + 9934 598.968 * * [simplify]: Extracting #8: cost 340 inf + 78461 599.004 * * [simplify]: Extracting #9: cost 75 inf + 205921 599.060 * * [simplify]: Extracting #10: cost 7 inf + 245743 599.114 * * [simplify]: Extracting #11: cost 0 inf + 249675 599.167 * * [simplify]: Extracting #12: cost 0 inf + 249635 599.220 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 599.220 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 599.221 * * * * [progress]: [ 2098 / 5906 ] simplifiying candidate # 599.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 599.221 * * [simplify]: iters left: 6 (51 enodes) 599.234 * * [simplify]: iters left: 5 (244 enodes) 599.289 * * [simplify]: Extracting #0: cost 1 inf + 0 599.289 * * [simplify]: Extracting #1: cost 3 inf + 0 599.289 * * [simplify]: Extracting #2: cost 6 inf + 0 599.289 * * [simplify]: Extracting #3: cost 56 inf + 0 599.289 * * [simplify]: Extracting #4: cost 130 inf + 0 599.290 * * [simplify]: Extracting #5: cost 206 inf + 0 599.291 * * [simplify]: Extracting #6: cost 276 inf + 1306 599.293 * * [simplify]: Extracting #7: cost 195 inf + 17078 599.300 * * [simplify]: Extracting #8: cost 106 inf + 47519 599.310 * * [simplify]: Extracting #9: cost 51 inf + 68118 599.329 * * [simplify]: Extracting #10: cost 7 inf + 112938 599.353 * * [simplify]: Extracting #11: cost 0 inf + 123233 599.380 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 599.380 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 599.380 * * * * [progress]: [ 2099 / 5906 ] simplifiying candidate # 599.381 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 599.381 * * [simplify]: iters left: 6 (52 enodes) 599.394 * * [simplify]: iters left: 5 (253 enodes) 599.452 * * [simplify]: Extracting #0: cost 1 inf + 0 599.452 * * [simplify]: Extracting #1: cost 3 inf + 0 599.452 * * [simplify]: Extracting #2: cost 6 inf + 0 599.452 * * [simplify]: Extracting #3: cost 60 inf + 0 599.452 * * [simplify]: Extracting #4: cost 153 inf + 0 599.453 * * [simplify]: Extracting #5: cost 219 inf + 126 599.454 * * [simplify]: Extracting #6: cost 246 inf + 6431 599.457 * * [simplify]: Extracting #7: cost 193 inf + 17309 599.463 * * [simplify]: Extracting #8: cost 124 inf + 38694 599.474 * * [simplify]: Extracting #9: cost 57 inf + 68905 599.487 * * [simplify]: Extracting #10: cost 35 inf + 83575 599.508 * * [simplify]: Extracting #11: cost 2 inf + 122480 599.532 * * [simplify]: Extracting #12: cost 0 inf + 125770 599.557 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) 599.558 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 599.558 * * * * [progress]: [ 2100 / 5906 ] simplifiying candidate # 599.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 599.559 * * [simplify]: iters left: 6 (52 enodes) 599.572 * * [simplify]: iters left: 5 (253 enodes) 599.630 * * [simplify]: Extracting #0: cost 1 inf + 0 599.630 * * [simplify]: Extracting #1: cost 3 inf + 0 599.630 * * [simplify]: Extracting #2: cost 6 inf + 0 599.630 * * [simplify]: Extracting #3: cost 62 inf + 0 599.630 * * [simplify]: Extracting #4: cost 151 inf + 0 599.631 * * [simplify]: Extracting #5: cost 216 inf + 44 599.632 * * [simplify]: Extracting #6: cost 252 inf + 5332 599.635 * * [simplify]: Extracting #7: cost 206 inf + 13192 599.640 * * [simplify]: Extracting #8: cost 150 inf + 29656 599.649 * * [simplify]: Extracting #9: cost 92 inf + 54419 599.661 * * [simplify]: Extracting #10: cost 50 inf + 71592 599.680 * * [simplify]: Extracting #11: cost 11 inf + 111407 599.705 * * [simplify]: Extracting #12: cost 1 inf + 123857 599.729 * * [simplify]: Extracting #13: cost 0 inf + 126002 599.753 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) 599.753 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 599.753 * * * * [progress]: [ 2101 / 5906 ] simplifiying candidate # 599.754 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 599.754 * * [simplify]: iters left: 6 (46 enodes) 599.766 * * [simplify]: iters left: 5 (217 enodes) 599.813 * * [simplify]: Extracting #0: cost 1 inf + 0 599.813 * * [simplify]: Extracting #1: cost 3 inf + 0 599.813 * * [simplify]: Extracting #2: cost 6 inf + 0 599.813 * * [simplify]: Extracting #3: cost 54 inf + 0 599.813 * * [simplify]: Extracting #4: cost 119 inf + 0 599.813 * * [simplify]: Extracting #5: cost 162 inf + 127 599.814 * * [simplify]: Extracting #6: cost 211 inf + 3061 599.816 * * [simplify]: Extracting #7: cost 179 inf + 9101 599.821 * * [simplify]: Extracting #8: cost 113 inf + 28217 599.830 * * [simplify]: Extracting #9: cost 52 inf + 58854 599.846 * * [simplify]: Extracting #10: cost 6 inf + 94764 599.865 * * [simplify]: Extracting #11: cost 0 inf + 100541 599.886 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) 599.886 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (* (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 599.887 * * * * [progress]: [ 2102 / 5906 ] simplifiying candidate # 599.887 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 599.887 * * [simplify]: iters left: 6 (51 enodes) 599.900 * * [simplify]: iters left: 5 (245 enodes) 599.956 * * [simplify]: Extracting #0: cost 1 inf + 0 599.956 * * [simplify]: Extracting #1: cost 3 inf + 0 599.956 * * [simplify]: Extracting #2: cost 10 inf + 0 599.956 * * [simplify]: Extracting #3: cost 74 inf + 0 599.957 * * [simplify]: Extracting #4: cost 137 inf + 1 599.957 * * [simplify]: Extracting #5: cost 184 inf + 290 599.958 * * [simplify]: Extracting #6: cost 241 inf + 2417 599.960 * * [simplify]: Extracting #7: cost 188 inf + 13829 599.967 * * [simplify]: Extracting #8: cost 120 inf + 35682 599.976 * * [simplify]: Extracting #9: cost 58 inf + 61083 599.989 * * [simplify]: Extracting #10: cost 25 inf + 86247